1. A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from 30° to 45°. How soon after this, will the car reach the tower?

2. By selling an article at 80% of its marked price, a trader makes a loss of 10% . What will be the profit percentage if he sells it at at 95% of its marked price?

3. On compound interest a certain amount becomes p times in a year, then in how many years it will become q time?

4. A and B started a business with Rs. 20000 and Rs. 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership with the condition that, A, B and C will share profit equally and C pays Rs. 220000 as premium for this, to be shared between A and B . this is to be divided between A and B in the ratio of

5. A can complete a work in 20 days and B in 30 days. A worked alone for 4 days and then B completed the remaining work long with C in 18 days. In how many days can C working alone complete  the work?

6. I was born 30 years after my father was born. My sister was born 25 years after my mother was born. The average age of my family is 26.25 years right now. My sister will get married 4 years from now and will leave the family. Then the average age of the family will be (107/3) years . What is the age of my father?

7. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessels C containing half milk and half water?

8. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of given number and the sum of its digit is equal to 144, the number is?

9. Three glasses of capacity 2 L, 5 L and 9 L contain mixture of milk and water  with milk concentrations 90% , 80% and 70 % respectively. The contents of three glasses are emptied into a large vessel. Find the ratio of milk to water in the resultant mixture

10. Two trains of length 80 m and 100 m respectively run on parallel lines of rails. When running in the same direction, the faster train passes the slower one in 18 s but when they are running in opposite directions with the same speeds as earlier , they pass each other in 9 s. Find the speed of faster train

11. (81)^-(1/2)- (64)^-(2/3)=?

12. Which of the following options is different from the other options?

13.  If 3y +2x =47 and 11x = 7y then what is value of y-x?

14. If 2x +3y +z = 55; x + z -y = 4 and y -x +z =12, then what is the value of y?

15. If the area of square is 3√3 times the area of an equilateral triangle, then the ratio of the sides of the square to the side of the equilateral triangle is

16. The sides of a rhombus are 26 m and length of one of its diagonals is 20m. The area of the rhombus is

17. Find the missing number:

7          91         1001       7007       35035       105105

14.5     (a)          (b)           (c)            (d)            (e)

What will come in place of (c)?

18. Find out the missing number.  0  5  18  43   84   145  ?

19 to 23. Study the table carefully to answer the questions that follow:

Percentage of Marks obtained by different students in Different subjects

19. How much marks did aditya get in all the subjects together?

20. Study the table carefully to answer the questions that follow:

Percentage of Marks obtained by different students in Different subjects

20. What is the average marks obtained by all students together in Marathi?

21. Study the table carefully to answer the questions that follow:

Percentage of Marks obtained by different students in Different subjects

21. How many students have scored the highest marks in more than one subject?

22. Study the table carefully to answer the questions that follow:

Percentage of Marks obtained by different students in Different subjects

22. What is Sanjay's overall percentage of marks in all subjects together?

23. Study the table carefully to answer the questions that follow:

Percentage of Marks obtained by different students in Different subjects

23. Who has Scored the highest marks in all the subjects together?

24. Data Sufficiency.

Is w an integer?

I. 3w is an odd number

II. 2w is an even number.

25.

Each question below is followed by two Statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer

What will be Suraj’s age after 8 yr.?

I. The ratio between Khushi’s and Suraj’s present age is 4: 7, respectively.

II. Khushi is 15 yr. younger than Suraj.

Data Sufficiency

26. younger than Suraj.

What is the two digit number?

I. The difference between the number and the number formed by interchanging the digit is 27.

II. The difference between two digits is 3.

III. The digit at unit’s place is less than that at ten’s place by 3

27. In each of these questions, two equations (1) and (II) are given. You have to solve both the equations and give answer

I.  (x + y)^2 = 3136

II.  y + 2513 = 2569

28. In each of these questions, two equations (1) and (II) are given. You have to solve both the equations and give answer

I. x = 3√2744

II. y = √ 487

29.

30. A boat covered a certain distance travelling downstream in 45 minutes, while it came back to the starting point in one hour 15 minutes. The speed of the stream is 2 kmph. What is the speed of the boat in still water?

DATA INTREPRETATION AND DATA SUFFICIENCY (Q. NO.31-60)

Study the following table carefully and choose the correct option from the alternative :-

India's foreign trade for the year 1980-81 to 1986-87(All figures in Rs. Crores)

31. Which of the following showed an increase every year?

Study the following table carefully and choose the correct option from the alternative :-

India's foreign trade for the year 1980-81 to 1986-87(All figures in Rs. Crore

32. The ratio of imports to exports was maximum in the year?

Study the following table carefully and choose the correct option from the alternative :-

India's foreign trade for the year 1980-81 to 1986-87(All figures in Rs. Crores)

33. The percentage increase in exports was maximum in the year?

Study the following table carefully and choose the correct option from the alternative :-

India's foreign trade for the year 1980-81 to 1986-87(All figures in Rs. Crores)

34.  The total trade deficit (in Rs. crores) for the last five years is?

Study the following table carefully and choose the correct option from the alternative :-

India's foreign trade for the year 1980-81 to 1986-87(All figures in Rs. Crores).

35. The difference between imports and exports was maximum in the year?

Q.No(36-40)Study the following table carefully and answer the questions that follow:

36. During the years 1980-82, public debt rose by apporoximetly?

Q.No(36-40)Study the following table carefully and answer the questions that follow:

37. Public debt rose by ___________ (in crores) from 1983 to 1984?

Q.No(36-40)Study the following table carefully and answer the questions that follow:

38. Public debt rose by about 5. 3% during the period?

Q.No(36-40)Study the following table carefully and answer the questions that follow:

39. Increase in public debt was minimum during the period?

Q.No(36-40)Study the following table carefully and answer the questions that follow:

40.Percentage Increase in public debt was maximum during the period?

Q.No(41-45)Study the following table carefully and answer the questions given below it: Number of articles manufactured (in lakhs) by two Companies P and Q and percentage of articles sold by both over the years

41. How many articles were sold by both companies together in 2005?

42. What is the approximate average number of articles manufactured by Company P over the years?

43. What is the percent increase in the number of articles sold by Company Q in 2004 from the year 2002?(rounded off to two digits after decimal)

44. What is the ratio of number of the articles not sold by Company P to that of those by Company Q in the year 2002?

45. In which year was the maximum number of articles manufactured from both Companies together?

Data Sufficiency (46 to 60 )

Directions: To answer the following questions, which of the information given in the Statements (A), (B), (C) and (D) or (1), (2), (3) and (4) below is/are necessary/sufficient?

46. A certain salesman's yearly income is determined by a base salary plus a commission on the sales he makes during the year. Did the salesman's base salary account for more than half of the salesman's yearly income last year? (Base salary is same for both years)

1. If the amount of the commission had been 30 percent higher, the salesman's income would have been 10 percent higher last year.

2. The difference between the amount of the salesman's base salary and the amount of the last year commission was equal to 50 percent of the salesman's base salary last year.

Directions (47) : To answer the following questions, which of the information given in the Statements (A), (B), (C) and (D) or (1), (2), (3) and (4) below is/are necessary/sufficient?

47. P, Q, R and S are four consecutive even integers. What is the value of the largest integer?

A. The average of the four numbers is the first prime number greater than 10.

B. The ratio between the largest and the smallest of the numbers is 7: 4.

C. The squares of the sum of the smallest and the largest numbers is equal to the squares of the sum of the remaining two numbers.

Directions (48): To answer the following questions, which of the information given in the Statements (A), (B), (C) and (D) or (1), (2), (3) and (4) below is/are necessary/sufficient?

48. What is the sum of two numbers?

A. The bigger of these two numbers is 6 more than the smaller number.

B. 40% of the smaller number is equal to 30% of the bigger number.

C. The ratio between half of the bigger number and one-third of the smaller number is 2 : 1

Directions (49): To answer the following questions, which of the information given in the Statements (A), (B), (C) and (D) or (1), (2), (3) and (4) below is/are necessary/sufficient?

49. How many runs did Ramesh score in his 32nd match?

A. For the first 30 matches his average was 36.

B. His average run score till is 32nd match is 38.

C. The average till 31st match is greater than his average for 32nd match he has played.

Directions (50-52): The following questions are accopanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

50. To find the temperature on Monday which of the following information is sufficient?

A. The average temperature for Monday, Tuesday and Wednesday was 38° C.

B. The average temperature for Tuesday, Wednesday and Thursday was 43° С.

C. The temperature on Tuesday and Thursday was 45° C each.

Directions (50-52): The following questions are accopanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

51. What is the cost price of an article?

A. After allowing a discount of 15% on marked price the shopkeeper charges Rs 1020 for it.

B. If he had not allowed any discount, he would have had a profit of 47(1/17)%.

C. If he had allowed only 10% discount on marked price, he would have had 32(6/17)% profit.

52. A, B and C entered into a partnership. If the profit earned in the business is proportional to the investment and the period of investment then What is the profit of B if all of them invested the amount for one year and total profit is Rs. x.

A. A invested Rs. 1500 less than that of C. B.

B invested 2 times more than that of A. C invested 3 times more than that of A.

C. B invested 200 percent more than that of A and 25% less than that of C.

(Q.NO 53.) The following questions accompanied by three statements A, B and C. You have to determine which necessary/sufficient to answer the question. are statement(s) is/are

53. In how many days a man and a woman can complete the work while working together?

A. The ratio of the efficiency of a man and a woman is 1:3.

B. A man and a child can do 1/3rd work in 9 days and a child and a woman can do 2/3rd work in 12 days.

C. A woman can do 2/3rd of the work in 14 days.

54. The following questions accompanied by three statements A, B and C. You have to determine which necessary/sufficient are statement(s) is/are to answer the question.

54. What is the staff strength of Company 'X'?

A. Male and female employees are in the ratio of 2: 3 respectively.

B. Of the officer employees 80% are males.

C. Total number of officers is 132.

Directions (55-60): The following questions are accompanied by three statements A, B and C. You have to determine which statement(s) necessary/sufficient is/are to answer the question.

55. A shopkeeper sells articles at a certain profit. Find out the amount of profit.

A. Ratio of the selling price to the cost price of the articles is 5:4.

B. If the cost price increases by Rs.500, and selling price remains the same, the profit percentage is decrease by 13(8/9) percentage points.

C. If the marked price is kept at Rs.1000 above the cost price and a discount of 15% is given, then the profit percentage is decreased by 18(3/4) percentage points.

56. Rinku borrowed an amount of Rs.5000 each from Milan and Rahul. What is the rate of interest?

A. Rinku returned the amount of Rs.5400 after due date to Milan.

B. Rinku returned Rs.5900 to Rahul after due date.

C. Rinku returned the money to Milan by SI, whereas to Rahul by compound interest

57. What is the speed of boat in still water?

A. The boat can cover 45 km downstream distance in 3 hours.

B. Speed of the stream is one-fourth the speed of boat in still water.

C. The boat can cover 36 km upstream distance in 4 hours.

Directions (58-60): The following questions ons are accompanied by three statements A, B and C. You have to determine which statement(s) necessary/sufficient is/are to answer the question.

58. In how many days 3 men, 2 women and 3 children can complete the work while working together?

A. 3 men are as efficient as 4 women.

B. 2 women and 5 children can do 2/3rd work in 12 days.

C. Ratio of the efficiencies of a man and a child is 2:1.

59. Find out the length of train A.

A. Train A crosses another train B moving in the opposite direction in 10 sec.

B. Ratio of the speeds of trains A and B is 1: 2.

C. Length of train B is 25% more than that of train A.

60. Find area of a rectangle.

A. Length and breadth of the rectangle are in the ratio of 4:3.

B. Sum of the lengths of diagonals of the rectangle is 50 m.

C. Area of a square is 1225 m², whose perimeter is twice the perimeter of the rectangle.

Directions (61-65) : Study the following information carefully and answer the given questions:

In a sports event, different games are scheduled to be held on seven days, starting on Monday ending on Sunday. Two games are scheduled to be held on Saturday as well as on Sunday and one game on each of the remaining five days. The games to be held in these seven days are: Basketball, football, boxing, sprinting, swimming, shooting, weightlifting, wrestling, and cycling, but not necessarily in the same order. Shooting is scheduled to be held on Thursday. Boxing and cycling are scheduled to be held on the same day. Wrestling is scheduled to be held three days before basketball, i.e., two sports are scheduled between wrestling and basketball. Wrestling is not scheduled to be held on Wednesday. Weightlifting is scheduled immediately after the day boxing is scheduled. Football is scheduled immediately after the day wrestling is scheduled. Swimming is not scheduled on Monday.

61. Which of the following games is scheduled to be held on Friday?

Directions (61-65) : Study the following information carefully and answer the given questions:

In a sports event, different games are scheduled to be held on seven days, starting on Monday ending on Sunday. Two games are scheduled to be held on Saturday as well as on Sunday and one game on each of the remaining five days. The games to be held in these seven days are: Basketball, football, boxing, sprinting, swimming, shooting, weightlifting, wrestling, and cycling, but not necessarily in the same order. Shooting is scheduled to be held on Thursday. Boxing and cycling are scheduled to be held on the same day. Wrestling is scheduled to be held three days before basketball, i.e., two sports are scheduled between wrestling and basketball. Wrestling is not scheduled to be held on Wednesday. Weightlifting is scheduled immediately after the day boxing is scheduled. Football is scheduled immediately after the day wrestling is scheduled. Swimming is not scheduled on Monday.

62. Which of the following games is scheduled to be held on Sunday?

Directions (61-65) : Study the following information carefully and answer the given questions:

In a sports event, different games are scheduled to be held on seven days, starting on Monday ending on Sunday. Two games are scheduled to be held on Saturday as well as on Sunday and one game on each of the remaining five days. The games to be held in these seven days are: Basketball, football, boxing, sprinting, swimming, shooting, weightlifting, wrestling, and cycling, but not necessarily in the same order. Shooting is scheduled to be held on Thursday. Boxing and cycling are scheduled to be held on the same day. Wrestling is scheduled to be held three days before basketball, i.e., two sports are scheduled between wrestling and basketball. Wrestling is not scheduled to be held on Wednesday. Weightlifting is scheduled immediately after the day boxing is scheduled. Football is scheduled immediately after the day wrestling is scheduled. Swimming is not scheduled on Monday.

63. On which of the following days is sprinting scheduled?

Directions (61-65) : Study the following information carefully and answer the given questions:

In a sports event, different games are scheduled to be held on seven days, starting on Monday ending on Sunday. Two games are scheduled to be held on Saturday as well as on Sunday and one game on each of the remaining five days. The games to be held in these seven days are: Basketball, football, boxing, sprinting, swimming, shooting, weightlifting, wrestling, and cycling, but not necessarily in the same order. Shooting is scheduled to be held on Thursday. Boxing and cycling are scheduled to be held on the same day. Wrestling is scheduled to be held three days before basketball, i.e., two sports are scheduled between wrestling and basketball. Wrestling is not scheduled to be held on Wednesday. Weightlifting is scheduled immediately after the day boxing is scheduled. Football is scheduled immediately after the day wrestling is scheduled. Swimming is not scheduled on Monday.

64. On which of the following days is weightlifting scheduled?

Directions (61-65) : Study the following information carefully and answer the given questions:

In a sports event, different games are scheduled to be held on seven days, starting on Monday ending on Sunday. Two games are scheduled to be held on Saturday as well as on Sunday and one game on each of the remaining five days. The games to be held in these seven days are: Basketball, football, boxing, sprinting, swimming, shooting, weightlifting, wrestling, and cycling, but not necessarily in the same order. Shooting is scheduled to be held on Thursday. Boxing and cycling are scheduled to be held on the same day. Wrestling is scheduled to be held three days before basketball, i.e., two sports are scheduled between wrestling and basketball. Wrestling is not scheduled to be held on Wednesday. Weightlifting is scheduled immediately after the day boxing is scheduled. Football is scheduled immediately after the day wrestling is scheduled. Swimming is not scheduled on Monday.

65. Shooting is related to Basketball in the same way as Wrestling is related to

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

66. Who amongst the following sit at the extreme ends of the row?

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

67. Who amongst the following faces S?

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

68. How many persons are seated between V and R?

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

69. P is related to A in the same way as S is related to B  based on the given arrangement. Which of the following T related to, following the same pattern?

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

70. Which of the following is true regarding T?

Directions (66-71): Study the following information carefully and answer the given questions:

Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1: P, Q, R, S, T and V are seated and all of them are facing south. In row 2: A, B, C, D, E, and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.

S sits third to the right of Q. either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.

71. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?

Directions (72-75): Study the following information carefully and answer the given questions:

Seven Professors A, B, C, D, E, F and G are engaged in evaluation of answer papers in three different subjects English, Mathematics and History. At least two persons evaluate the papers in each subject. Each of the evaluators stay in different buildings P, Q, R, S, T, V & W not necessarily in the same order. A evaluate English papers only with E and stays in building R. D stays in building W and does not evaluate Maths papers. The one who stays in building V evaluates History papers. B and C do not evaluate the papers in the same subject. Those who evaluate English papers do not stay in building Q. F stays in building P but does not evaluate History papers. G evaluate same papers as F. C stays in building T.

72. Who stays in building?

Directions (72-75): Study the following information carefully and answer the given questions:

Seven Professors A, B, C, D, E, F and G are engaged in evaluation of answer papers in three different subjects English, Mathematics and History. At least two persons evaluate the papers in each subject. Each of the evaluators stay in different buildings P, Q, R, S, T, V & W not necessarily in the same order. A evaluate English papers only with E and stays in building R. D stays in building W and does not evaluate Maths papers. The one who stays in building V evaluates History papers. B and C do not evaluate the papers in the same subject. Those who evaluate English papers do not stay in building Q. F stays in building P but does not evaluate History papers. G evaluate same papers as F. C stays in building T.

73. Which of the following combinations of subject, person and buildings is definitely correct?

Directions (72-75): Study the following information carefully and answer the given questions:

Seven Professors A, B, C, D, E, F and G are engaged in evaluation of answer papers in three different subjects English, Mathematics and History. At least two persons evaluate the papers in each subject. Each of the evaluators stay in different buildings P, Q, R, S, T, V & W not necessarily in the same order. A evaluate English papers only with E and stays in building R. D stays in building W and does not evaluate Maths papers. The one who stays in building V evaluates History papers. B and C do not evaluate the papers in the same subject. Those who evaluate English papers do not stay in building Q. F stays in building P but does not evaluate History papers. G evaluate same papers as F. C stays in building T.

74. Which of the following groups of persons evaluate the Mathematics paper?

Directions (72-75): Study the following information carefully and answer the given questions:

Seven Professors A, B, C, D, E, F and G are engaged in evaluation of answer papers in three different subjects English, Mathematics and History. At least two persons evaluate the papers in each subject. Each of the evaluators stay in different buildings P, Q, R, S, T, V & W not necessarily in the same order. A evaluate English papers only with E and stays in building R. D stays in building W and does not evaluate Maths papers. The one who stays in building V evaluates History papers. B and C do not evaluate the papers in the same subject. Those who evaluate English papers do not stay in building Q. F stays in building P but does not evaluate History papers. G evaluate same papers as F. C stays in building T.

75. Papers in which subject are evaluated by D?

Directions (76 -78): Study the following arrangement carefully and answer the questions given below:

B A E D A D E B  C A C U A B D U A D B E B A B C U D E B C D C

76. How many such consonants are there in the above arrangement each of which is immediately preceded by a vowel and also immediately followed by a vowel?

Directions (76 -78): Study the following arrangement carefully and answer the questions given below:

B A E D A D E B  C A C U A B D U A D B E B A B C U D E B C D C

77. How many meaningful words can be formed with the alphabets which are second, fourth and seventh from the right end of the above arrangement?

Directions (76 -78): Study the following arrangement carefully and answer the questions given below:

B A E D A D E B  C A C U A B D U A D B E B A B C U D E B C D C

78. How many such pairs of alphabets are there in the series of alphabets given in BOLD in the above arrangement each of which has as many letters between them (in both forward and backward directions) as they between them in the English alphabetical series?

Directions(79 -81): In the following questions , the symbols are used with the following meanings are illustrated below:

‘A δ B' means ‘A is neither smaller nor grater than B’

‘A # B’ means ‘A is not smaller than B’

‘A  $ B' ‘A is either smaller than or equal to B’

‘A % B’ means ‘A is smaller than or equal to B’

‘A * B’ means ‘A is neither smaller than nor equal to B’

Now, in each of the following questions, assuming the given, statement to be true , find which of the two conclusion I and II given below them is/are definitely true. Give answer.

79. Statements : D δ U, R $ , R % M *N

Conclusions:

I. N * U

II. D $ M

Directions(79 -81): In the following questions , the symbols are used with the following meanings are illustrated below:

‘A δ B' means ‘A is neither smaller nor grater than B’

‘A # B’ means ‘A is not smaller than B’

‘A  $ B 'means ‘A is either smaller than or equal to B’

‘A % B’ means ‘A is smaller than or equal to B’

‘A * B’ means ‘A is neither smaller than nor equal to B’

Now, in each of the following questions, assuming the given, statement to be true , find which of the two conclusion I and II given below them is/are definitely true. Give answer.

80. Statements : P * Q, Q # R, S δ R

Conclusions:

I. P # S

II. Q # S

Directions(79 -81): In the following questions , the symbols are used with the following meanings are illustrated below:

‘A δ B' means ‘A is neither smaller nor grater than B’

‘A # B’ means ‘A is not smaller than B’

‘A  $ B 'means ‘A is either smaller than or equal to B’

‘A % B’ means ‘A is smaller than or equal to B’

‘A * B’ means ‘A is neither smaller than nor equal to B’

Now, in each of the following questions, assuming the given, statement to be true , find which of the two conclusion I and II given below them is/are definitely true. Give answer.

81. Statements : D * E # F, B δ C δ D

Conclusions:

I. B * E

II. F % C

Directions (82-83): Study the following information carefully and answer the questions given below:

‘A@B’ means ‘A is sister of B’

‘A%B’ means ‘A is son of B’

‘A#B’ means ‘A is father of B’

‘A$B’ means ‘A is mother of B’

82. How is D  related to W in the  given expression?.

T @ Q % D $ P # W

Directions (82-83): Study the following information carefully and answer the questions given below:

‘A@B’ means ‘A is sister of B’

‘A%B’ means ‘A is son of B’

‘A#B’ means ‘A is father of B’

‘A$B’ means ‘A is mother of B’

83. How is A related to B in the given expression?

V $ B # E @ M % A

Directions (84-85): In each of the following questions, two statements numbered I and II are given. There may be cause and effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may independent causes without having any relationship. Read both the statements in each question and mark answer as:

84. I. Many farmers have given up jute cultivation as it is no longer economically viable.

II. The textile ministry has proposed a hike in the Minimum Support Price of jute.

Directions (84-85): In each of the following questions, two statements numbered I and II are given. There may be cause and effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may independent causes without having any relationship. Read both the statements in each question and mark answer as:

85. I. The price of aircraft fuel has risen during the past few months.

II. Many passengers airlines in India have been forced to cut their fares by about 10 per cent.

Directions (86-87): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and given answer:

86. What is the value of 144 $ 16 * 7 # 9?

I. $ means ÷, * means × and # means +.

II. 16 $ 4 * 2 # 2 =10.

Directions (86-87): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and given answer:

87. How is 'come' written in a code language ?

I. 'come and go' is written as 'pit ka ja' in that code language.

II. 'go and tell' is written as 'ja ma ka' in that code language.

Directions (88-90) : In each questions below, a statement followed by two assumptions numbered I and II.

An assumption is something supposed to taken for granted. You have to consider the statement and the following assumptions, and decide which of the assumptions is implicit in the statement?

88. Statement: The government has decided to hold the employers responsible for deducting tax at source all its employees.

Assumptions:

I. The employers may still not arrange to deduct tax at source for its employees.

II. The employees may not allow the employers to deduct tax at source.

Give answer:

Directions (88-90) : In each questions below, a statement followed by two assumptions numbered I and II.

An assumption is something supposed to taken for granted. You have to consider the statement and the following assumptions, and decide which of the assumptions is implicit in the statement?

Give answer:

89. Statement: Highly brilliant and industrious students do not always excel in the written examinations.

Conclusions:

I. The written examination is good mainly for mediocre students.

II. The brilliant and industrious students cannot always write good answers in the exam.

Directions (88-90) : In each questions below, a statement followed by two assumptions numbered I and II.

An assumption is something supposed to taken for granted. You have to consider the statement and the following assumptions, and decide which of the assumptions is implicit in the statement?

Give answer:

90. Statement: An advertisement: If you want to follow the fingerprints of an ideal leader, wear 'X' brand of shoes.

Assumptions:

I. Most people like to become ideal leaders.

II. One can't become ideal leader unless one wears 'X' brand of shoes.

91 to 95

Passage 6

The balance wheel whirled and the rusty foot pedal clattered up and down. The needle hopped over the smooth stitching pleats, folds and moving smoothly around the neckline. The reel of cotton thread, jumped and shook on its needle stand. “Stop you are making me dizzy,”‚ said the reel. Stop grumbling, you foolish thing" said the pedal. "If anyone should grumble it is me" said the small reel inside the bobbin. When the needle moved, it took the thread from the bobbin and made stitches under the cloth. "I do all the important work and here I am stuck up day and night in this stuffy, box. You all have a fine time sitting there staring at the world", he continued.

"Now children" said the kindly old balance wheel. "You all know what important work the lady is doing today. She is stitching a school dress for her daughter why will be admitted in school tomorrow. We must all work hard and stitch it beautifully". "I have had enough food today. It is too hot here and I am tired of the needle poking here in nose in all the time" said the small reel. "Listen my children", continued the old wheel. "I have been this machine for about hundred.years". At first we belonged to dress maker. He made its work hard. One day this lady's grandfather came to the shop. He liked the machine and bought it. The old gentleman wanted his daughters to learn sewing but they did not use it much. Still, we were fed regularly with oil and cleared by the servants for years. We have stood in this corner and seen many things. We saw the old gentleman die. His children then started quarrelling. Slowly they became poor. The servants were dismissed. Then, one by one, the children, went away and the house was closed. After many years this lady came with her husband. She had daughter after a few years. The lady started using us after pouring oil into these old joints. She did not listen to her husband's suggestion to sell us off to scrap dealer.

"As the wheel finished, everyone was quiet for some time. Then, the reel said, "We are very sorry and we would rather break into pieces than let. down the lady". They all continued to work till the scissors snipped the thread and the beautiful dress was ready.

91.  Why was the reel of thread feeling dizzy?

91 to 95

The balance wheel whirled and the rusty foot pedal clattered up and down. The needle hopped over the smooth stitching pleats, folds and moving smoothly around the neckline. The reel of cotton thread, jumped and shook on its needle stand. “Stop you are making me dizzy,”‚ said the reel. Stop grumbling, you foolish thing" said the pedal. "If anyone should grumble it is me" said the small reel inside the bobbin. When the needle moved, it took the thread from the bobbin and made stitches under the cloth. "I do all the important work and here I am stuck up day and night in this stuffy, box. You all have a fine time sitting there staring at the world", he continued.

"Now children" said the kindly old balance wheel. "You all know what important work the lady is doing today. She is stitching a school dress for her daughter why will be admitted in school tomorrow. We must all work hard and stitch it beautifully". "I have had enough food today. It is too hot here and I am tired of the needle poking here in nose in all the time" said the small reel. "Listen my children", continued the old wheel. "I have been this machine for about hundred.years". At first we belonged to dress maker. He made its work hard. One day this lady's grandfather came to the shop. He liked the machine and bought it. The old gentleman wanted his daughters to learn sewing but they did not use it much. Still, we were fed regularly with oil and cleared by the servants for years. We have stood in this corner and seen many things. We saw the old gentleman die. His children then started quarrelling. Slowly they became poor. The servants were dismissed. Then, one by one, the children, went away and the house was closed. After many years this lady came with her husband. She had daughter after a few years. The lady started using us after pouring oil into these old joints. She did not listen to her husband's suggestion to sell us off to scrap dealer.

"As the wheel finished, everyone was quiet for some time. Then, the reel said, "We are very sorry and we would rather break into pieces than let. down the lady". They all continued to work till the scissors snipped the thread and the beautiful dress was ready.

92. What was the lady doing oil the sewing machine?

91 to 95

The balance wheel whirled and the rusty foot pedal clattered up and down. The needle hopped over the smooth stitching pleats, folds and moving smoothly around the neckline. The reel of cotton thread, jumped and shook on its needle stand. “Stop you are making me dizzy,”‚ said the reel. Stop grumbling, you foolish thing" said the pedal. "If anyone should grumble it is me" said the small reel inside the bobbin. When the needle moved, it took the thread from the bobbin and made stitches under the cloth. "I do all the important work and here I am stuck up day and night in this stuffy, box. You all have a fine time sitting there staring at the world", he continued.

"Now children" said the kindly old balance wheel. "You all know what important work the lady is doing today. She is stitching a school dress for her daughter why will be admitted in school tomorrow. We must all work hard and stitch it beautifully". "I have had enough food today. It is too hot here and I am tired of the needle poking here in nose in all the time" said the small reel. "Listen my children", continued the old wheel. "I have been this machine for about hundred.years". At first we belonged to dress maker. He made its work hard. One day this lady's grandfather came to the shop. He liked the machine and bought it. The old gentleman wanted his daughters to learn sewing but they did not use it much. Still, we were fed regularly with oil and cleared by the servants for years. We have stood in this corner and seen many things. We saw the old gentleman die. His children then started quarrelling. Slowly they became poor. The servants were dismissed. Then, one by one, the children, went away and the house was closed. After many years this lady came with her husband. She had daughter after a few years. The lady started using us after pouring oil into these old joints. She did not listen to her husband's suggestion to sell us off to scrap dealer.

"As the wheel finished, everyone was quiet for some time. Then, the reel said, "We are very sorry and we would rather break into pieces than let. down the lady". They all continued to work till the scissors snipped the thread and the beautiful dress was ready.

93. Who brought the sewing machine to the house?

91 to 95

The balance wheel whirled and the rusty foot pedal clattered up and down. The needle hopped over the smooth stitching pleats, folds and moving smoothly around the neckline. The reel of cotton thread, jumped and shook on its needle stand. “Stop you are making me dizzy,”‚ said the reel. Stop grumbling, you foolish thing" said the pedal. "If anyone should grumble it is me" said the small reel inside the bobbin. When the needle moved, it took the thread from the bobbin and made stitches under the cloth. "I do all the important work and here I am stuck up day and night in this stuffy, box. You all have a fine time sitting there staring at the world", he continued.

"Now children" said the kindly old balance wheel. "You all know what important work the lady is doing today. She is stitching a school dress for her daughter why will be admitted in school tomorrow. We must all work hard and stitch it beautifully". "I have had enough food today. It is too hot here and I am tired of the needle poking here in nose in all the time" said the small reel. "Listen my children", continued the old wheel. "I have been this machine for about hundred.years". At first we belonged to dress maker. He made its work hard. One day this lady's grandfather came to the shop. He liked the machine and bought it. The old gentleman wanted his daughters to learn sewing but they did not use it much. Still, we were fed regularly with oil and cleared by the servants for years. We have stood in this corner and seen many things. We saw the old gentleman die. His children then started quarrelling. Slowly they became poor. The servants were dismissed. Then, one by one, the children, went away and the house was closed. After many years this lady came with her husband. She had daughter after a few years. The lady started using us after pouring oil into these old joints. She did not listen to her husband's suggestion to sell us off to scrap dealer.

"As the wheel finished, everyone was quiet for some time. Then, the reel said, "We are very sorry and we would rather break into pieces than let. down the lady". They all continued to work till the scissors snipped the thread and the beautiful dress was ready.

94. Which of the following did not happen after the old gentleman death?

91 to 95

The balance wheel whirled and the rusty foot pedal clattered up and down. The needle hopped over the smooth stitching pleats, folds and moving smoothly around the neckline. The reel of cotton thread, jumped and shook on its needle stand. “Stop you are making me dizzy,”‚ said the reel. Stop grumbling, you foolish thing" said the pedal. "If anyone should grumble it is me" said the small reel inside the bobbin. When the needle moved, it took the thread from the bobbin and made stitches under the cloth. "I do all the important work and here I am stuck up day and night in this stuffy, box. You all have a fine time sitting there staring at the world", he continued.

"Now children" said the kindly old balance wheel. "You all know what important work the lady is doing today. She is stitching a school dress for her daughter why will be admitted in school tomorrow. We must all work hard and stitch it beautifully". "I have had enough food today. It is too hot here and I am tired of the needle poking here in nose in all the time" said the small reel. "Listen my children", continued the old wheel. "I have been this machine for about hundred.years". At first we belonged to dress maker. He made its work hard. One day this lady's grandfather came to the shop. He liked the machine and bought it. The old gentleman wanted his daughters to learn sewing but they did not use it much. Still, we were fed regularly with oil and cleared by the servants for years. We have stood in this corner and seen many things. We saw the old gentleman die. His children then started quarrelling. Slowly they became poor. The servants were dismissed. Then, one by one, the children, went away and the house was closed. After many years this lady came with her husband. She had daughter after a few years. The lady started using us after pouring oil into these old joints. She did not listen to her husband's suggestion to sell us off to scrap dealer.

"As the wheel finished, everyone was quiet for some time. Then, the reel said, "We are very sorry and we would rather break into pieces than let. down the lady". They all continued to work till the scissors snipped the thread and the beautiful dress was ready.

95. What did the reel say after listening to the old balance wheel's story?

Passage 96-100

Someone is knocking on Amanda's door. Amanda is home, but she does not answer. It is the man who owns the house where she lives. His name is Mr. Campbell. Amanda calls him the Rent Man. He has come by to get the rent money Amanda owes. Amanda does not have the money to pay him. Amanda lost her job at the auto factory three and a half weeks ago. "I worked there for 15 years", Amanda thinks to herself. She is bitter. "But it took them just one day to take my job away". Amanda has no idea when she will find another job.

Lots of other people from her factory lost their jobs three weeks ago, too. She looks for work everyday. She looks for work at a restaurant. "You have never worked at a restaurant", the owner tells-her. "This job is not for you". She looks for work at the bookstore. "We don't have any jobs right now", the clerk tells Amanda. She looks for work at the grocery store. "I will call you to let you know", the manager says. Amanda is worried. She is running out of money quickly. There is another loud knock at the door. Amanda sits quietly in her kitchen. She hopes the Rent Man will go away soon.

96. Why does not Amanda have money to pay her rent?

Someone is knocking on Amanda's door. Amanda is home, but she does not answer. It is the man who owns the house where she lives. His name is Mr. Campbell. Amanda calls him the Rent Man. He has come by to get the rent money Amanda owes. Amanda does not have the money to pay him. Amanda lost her job at the auto factory three and a half weeks ago. "I worked there for 15 years", Amanda thinks to herself. She is bitter. "But it took them just one day to take my job away". Amanda has no idea when she will find another job.

Lots of other people from her factory lost their jobs three weeks ago, too. She looks for work everyday. She looks for work at a restaurant. "You have never worked at a restaurant", the owner tells-her. "This job is not for you". She looks for work at the bookstore. "We don't have any jobs right now", the clerk tells Amanda. She looks for work at the grocery store. "I will call you to let you know", the manager says. Amanda is worried. She is running out of money quickly. There is another loud knock at the door. Amanda sits quietly in her kitchen. She hopes the Rent Man will go away soon.

97. Why does Amanda not get the job at the bookstore?

Someone is knocking on Amanda's door. Amanda is home, but she does not answer. It is the man who owns the house where she lives. His name is Mr. Campbell. Amanda calls him the Rent Man. He has come by to get the rent money Amanda owes. Amanda does not have the money to pay him. Amanda lost her job at the auto factory three and a half weeks ago. "I worked there for 15 years", Amanda thinks to herself. She is bitter. "But it took them just one day to take my job away". Amanda has no idea when she will find another job.

Lots of other people from her factory lost their jobs three weeks ago, too. She looks for work everyday. She looks for work at a restaurant. "You have never worked at a restaurant", the owner tells-her. "This job is not for you". She looks for work at the bookstore. "We don't have any jobs right now", the clerk tells Amanda. She looks for work at the grocery store. "I will call you to let you know", the manager says. Amanda is worried. She is running out of money quickly. There is another loud knock at the door. Amanda sits quietly in her kitchen. She hopes the Rent Man will go away soon.

98. Why does Amanda hope the 'Rent Man' will go away?

Someone is knocking on Amanda's door. Amanda is home, but she does not answer. It is the man who owns the house where she lives. His name is Mr. Campbell. Amanda calls him the Rent Man. He has come by to get the rent money Amanda owes. Amanda does not have the money to pay him. Amanda lost her job at the auto factory three and a half weeks ago. "I worked there for 15 years", Amanda thinks to herself. She is bitter. "But it took them just one day to take my job away". Amanda has no idea when she will find another job.

Lots of other people from her factory lost their jobs three weeks ago, too. She looks for work everyday. She looks for work at a restaurant. "You have never worked at a restaurant", the owner tells-her. "This job is not for you". She looks for work at the bookstore. "We don't have any jobs right now", the clerk tells Amanda. She looks for work at the grocery store. "I will call you to let you know", the manager says. Amanda is worried. She is running out of money quickly. There is another loud knock at the door. Amanda sits quietly in her kitchen. She hopes the Rent Man will go away soon.

99. Why does Amanda call the man who visits her "The Rent Man'?

Someone is knocking on Amanda's door. Amanda is home, but she does not answer. It is the man who owns the house where she lives. His name is Mr. Campbell. Amanda calls him the Rent Man. He has come by to get the rent money Amanda owes. Amanda does not have the money to pay him. Amanda lost her job at the auto factory three and a half weeks ago. "I worked there for 15 years", Amanda thinks to herself. She is bitter. "But it took them just one day to take my job away". Amanda has no idea when she will find another job.

Lots of other people from her factory lost their jobs three weeks ago, too. She looks for work everyday. She looks for work at a restaurant. "You have never worked at a restaurant", the owner tells-her. "This job is not for you". She looks for work at the bookstore. "We don't have any jobs right now", the clerk tells Amanda. She looks for work at the grocery store. "I will call you to let you know", the manager says. Amanda is worried. She is running out of money quickly. There is another loud knock at the door. Amanda sits quietly in her kitchen. She hopes the Rent Man will go away soon.

100. Why is Amanda worried?

Directions (Q.Nos. 101-105) Find out the part which has an error in the following sentences. If there is no error, your answer is (d).

101. Fear is one of (a)/ those emotions which frequently (b)/ roots us to inaction. (c)/ No error (d)

102. You and I am going (a)/ to take part (b)/ in the meeting tomorrow. (c)/ No error (d)

103. All one can gather (a)/ from the children are that (b)/ there was a loud noise and smoke. (c)/ No error (d)

104. The authors of the document appears to (a)/ have fully realised the fact that when one talks (b)/ of education he deals with human beings. (c)/ No error (d)

105. The book, although written in bad English, (a)/ makes a few interesting observations (b)/ which needs to be highlighted. (c)/ No error (d)

Q. No 106 to 110 : Cloze test

106. A man can be physically 106 within stone walls and iron bars. His 107 of movement and action may thus be 108. But his mind and spirit will 109 remain free. His hopes and 110 ideals and ambitions will still remain with him.

Q. No 106 to 110 : Cloze test

107.  A man can be physically 106 within stone walls and iron bars. His 107 of movement and action may thus be 108. But his mind and spirit will 109 remain free. His hopes and 110 ideals and ambitions will still remain with him.

Q. No 106 to 110 : Cloze test

108. A man can be physically 106 within stone walls and iron bars. His 107 of movement and action may thus be 108. But his mind and spirit will 109 remain free. His hopes and 110 ideals and ambitions will still remain with him.

Q. No 106 to 110 : Cloze test

109. A man can be physically 106 within stone walls and iron bars. His 107 of movement and action may thus be 108. But his mind and spirit will 109 remain free. His hopes and 110 ideals and ambitions will still remain with him.

Q. No 106 to 110 : Cloze test

110. A man can be physically 106 within stone walls and iron bars. His 107 of movement and action may thus be 108. But his mind and spirit will 109 remain free. His hopes and 110 ideals and ambitions will still remain with him.

Q. No 111-115. Directions In the following questions you will find sentences, part of which are bold. Compare the bold part of each sentence with the expressions (a), (b) and (c) given below. Choose the expression which is an improvement upon the bold part. If none of the three expressions improves the sentence then your answer is (d).

111. The reason why he wrote the letter was because he could not contact him over the phone

112. Young men and women should get habituated to reading and writing about current affairs.

113. He has got many friends because he had got much money.

114. The enthusiastic voters were queuing up outside the polling station since morning.

115. I would like that you finish the project on time.

Q. No: 116-118. Idioms and Phrases

116. Turn out crabs

Idioms and Phrases

117. Go abegging

Idioms and Phrase

118. Join the majority

(119-120) Synonyms and Antonyms

119. She purchased gimcrack ornaments from the market.

120. The young business executive was very Perspicacious

121. Who became the youngest male player to complete a Career Grand Slam by winning the Australian Open 2026 men's singles title?

122. In the Global Soft Power Index 2026, which country ranked 1st, and what is India's position?

123. Who won the Song of the Year award at the 68th Grammy Awards 2026?

124. Which Indian state emerged as the largest contributor to India's renewable energy capacity as of 31 December 2025?

125. Which organisation will Implement the ground-based astronomy Infrastructure projects announced in the Union Budget 2026-27?

126. What is the standard time limit for completing Insolvency proceedings under the Insolvency and Bankruptcy Code (IBC), 2016?

127. Under the newly notified Baggage Rules, 2026, what Is the revised general duty-free allowance for residents, Indian-origin tourists, and foreigners with valid non-tourist visas?

128. In the Responsible Nations Index 2026, which country was ranked 153rd, reflecting severe Impact of prolonged conflict?

129. As of 2026, Moltbook, the newly launched social platform for autonomous Al agents, was created by which tech entrepreneur?

130. Which ministry launched the upgraded National Youth Parliament Scheme (NYPS) 2.0 Web Portal?

131. Which country ranked 1st In the Responsible Nations Index 2026 released by the World Intellectual Foundation (WIF)?

132. Who became the first person in the world to cross a net worth of USD 800 billion In February 2026?

133. What was the record bilateral trade volume between India and China In 2025?