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MBA 2026

LTL QT7 Number Theory, Progression AP & GP

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  1. Find the last two digits of 64^81

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2. If x + 1/x = 2, then the value of x² + 1/x² is :

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3. If  a = 24, b = 26, c =28, then the value of a² + b² + c² - ab - bc -ac will be

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4. If the sum and the product of two numbers are 25 and 144; respectively, then the difference of the numbers must be:

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5. The sum of two numbers is 9 and the sum of their squares is 41. The numbers are :

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6. The value of (119)² + (119) (111) + (111)² / (119)³ - (111)³  is :

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7. Simplified value of

8.73 × 8.73 × 8.73 + 4.27 × 4.27 × 4.27 / 8.73 × 8.73 - 8.73 × 4.27 + 4.27 × 4.27 is :

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8. If a + b + c = 11, a² + b² +c² = 51, what is the value of ab + bc + ac ?

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9. If x + y + z = 0, then the value of x² /yz + y² /zx + z² /xy is :

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10. If (x - 1/x) = 5, then x³ - 1/x³ equals :

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11. Find the 41st term of the progression 3,8,13,18, ....:

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12. Find the 25th term of the AP 10, 6, 2, -2, -6, -10,....:

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13. What is the 10th term of the sequence 2, 4, ..?

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14. If 7 times the seventh term of an AP is equal to 11 times its eleventh term, the value of eighteenth term of the AP is

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15. Find the number of terms in the AP 22, 28, 34, ...,616

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16. Find the sum of 222, 224, 226,..., 888:

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17. The 12th term of an AP is -13 and the sum of the first four terms of it is 24. Find the sum of its first ten terms

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18. The third term of an AP is 1/5 and the 5th term is 1/3. Find the sum to 15 terms of the AP :

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19. How many terms of the series 20 + 16 + 12 + ... amounts to 48 ?

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20. If you save Rs.1 today, Rs. 2 the next day, Rs. 3 the succeeding day and so on, what will be your total savings in 365 days ?

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21. Find the sum of the first hundred even natural numbers divisible by 5 :

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22. Find the 7th term of the series -1/8 + 1/4 - 1/2 + 1 ...:

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23. What is the least number of terms of the G.P.  5 + 10 + 20 +... whose sum would surely exceed 10^6 ?

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24. The sum of three numbers in G.P. is 14. If the first two terms are each increased by 1 and the third term is decreased by 1, the resulting numbers are in AP Find the product of these three numbers :

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25. Sum of three consecutive terms in a G.P. is 42 and their product is 152. Find the largest of these numbers

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