LTL UDUMALAI TALENT HUNT COMPETITION 2025 First Round

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LTL UDUMALAI TALENT HUNT COMPETITION 2025

LTL CLASS 4 & 5 UDUMALAI TALENT HUNT COMPETITION 2025 First Round

Learn to Lead Academy is conducting the Udumalai Talent Hunt Competition 2025 in Udumalpet. This competition is open to students from Class 4 to Class 11.

The first round will be conducted online, and students can participate anytime between May 11th and June 5th, 2025. The final round will be held offline on Sunday, June 15th at Learn to Lead Academy, Udumalpet.

Prizes will be awarded to the top three performers, and certificates will be given to all participants.

This competition is an excellent opportunity for students who aspire to prepare for competitive exams such as NEET, IIT-JEE, Olympiads, and various Government Exams. By taking part in this event, students can assess their analytical skills, which form the foundation for their future success.

We encourage all eligible students to join the competition and test their potential!

The number of attempts remaining is 2

Greetings from LEARN TO LEAD ACADEMY !!! All the best !!!

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22. Who is the father of our nation ?

Subash Chandra Bose

Mahatma Gandhi

Jawaharlal Nehru

Narendra Modi

2 / 25

7. 111+222+333 =

999

777

555

666

3 / 25

19. Which instrument is used for measuring temperature?

anemometer

lactometer

thermometer

hydrometer

4 / 25

17 × 5

5 / 25

13. My mother is ------- school principal

the

None of the above

6 / 25

2. Square of 15 =

225

200

325

300

7 / 25

10. 1000×6 =

6666

6060

6000

1600

8 / 25

9. LCM of 5,4 =

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4. 2001+1607=

3608

4608

3008

4607

10 / 25

24. Which is the largest ocean ?

Pacific ocean

Indian ocean

Artic ocean

Atlantic ocean

11 / 25

25. Rainbow has how many colours ?

12 / 25

16. Herbivorous are ------- eating animals

plants

other

both

none of these

13 / 25

14. The cat is ------- the tree

under

above

14 / 25

15. The car is parked ------- the garage

inside

near

infront

beside

15 / 25

8. 555 - 500 - 50 - 5 =

500

16 / 25

17. Which is the natural satellite of the earth ?

sun

star

moon

mars

17 / 25

21. Which is the capital of India ?

New Delhi

Bangalore

Chennai

Jammu Kashmir

18 / 25

3. 200+666 =

806

766

856

866

19 / 25

20. What is the main source of energy of earth?

sun

moon

plants

water

20 / 25

23. What is the largest planet in our solar system ?

Saturn

Mercury

Earth

Jupiter

21 / 25

18. Which gas is used for breathing?

carbon dioxide

oxygen

nitrogen

helium

22 / 25

11. You ------- won the first prize

Have

Has

Had

was

23 / 25

5. 1812 -1706 =

106

116

216

126

24 / 25

6. 2/5 + 1/3 =

10/15

11/15

11/5

10/3

25 / 25

12. I want ------ burger

the

None of these

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LTL UDUMALAI TALENT HUNT COMPETITION 2025

LTL Class 6 & 7 UDUMALAI TALENT HUNT COMPETITION 2025

Learn to Lead Academy is conducting the Udumalai Talent Hunt Competition 2025 in Udumalpet. This competition is open to students from Class 4 to Class 11.

Prizes will be awarded to the top three performers, and certificates will be given to all participants.

We encourage all eligible students to join the competition and test their potential!

The number of attempts remaining is 2

Greetings from LEARN TO LEAD ACADEMY!!! All the best!!!!!

1 / 30

MATHEMATICS

1. Simplify 92785 × 98 + 92785 ×2.

A) 9288400

B) 9278500

C) 9268300

D) 9278100

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2. Simplify 12345 × 15 − 2469 × 25.

A) 143350

B) 124460

C) 122420

D) 123450

Given, 12345 x 15-2469 x 25

= 185175-61725

= 123450

Hence, the correct option is (D).

Given, 12345 x 15-2469 x 25

= 185175-61725

= 123450

Hence, the correct option is (D).

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3. By joining two points of a circle, we obtain its:

A) Radius

B) Chord

C) Area

D) Circumference

By joining two points of a circle, we obtain its chord. The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle that passes through the center of the circle.

Hence, the correct option is (B).

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4. The ratio 15 : 75 in its simplest form is:

A) 1 : 8

B) 1 : 5

C) 7 :1

D) 1 : 7

Given, Ratio = 15 : 75

⇒ 15/75 = 1 × 15/ 5 × 15 = 1 : 5

Hence, the correct option is (B)

Given, Ratio = 15 : 75

⇒ 15/75 = 1 × 15/ 5 × 15 = 1 : 5

Hence, the correct option is (B)

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5. Find the volume of a cuboid whose dimensions are: Length = 12cm, breadth = 8cm, height = 6cm

A) 200 m^3

B) 576 m^3

C) 556 m^3

D) 476 m^3

Given, length = 12cm, breadth = 8cm, height = 6cm

As we know, Volume of cuboid = lbh = 12 x 8 x6 = 12 x 48 = 576 cm³ Hence, the correct option is (B).

Given, length = 12cm, breadth = 8cm, height = 6cm

As we know, Volume of cuboid = lbh = 12 x 8 x6 = 12 x 48 = 576 cm³ Hence, the correct option is (B).

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6. If each side of a cube is increased by 10%, then the volume of the cube will be increase by :

A) 30%

B) 10%

C) 33.1%

D) 25%

Let each side of cube = a unit

Thus, volume of cube = a³

Now, new side of cube = a ×110/100 = 1.1a unit Thus, new volume of cube = (1.1a)^3

= 1.331 a^3

Let each side of cube = a unit

Thus, volume of cube = a³

Now, new side of cube = a ×110/100 = 1.1a unit Thus, new volume of cube = (1.1a)^3

1.331 a^3

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7. If the total surface area of a cube is 96cm^2,its volume is:

A) 16cm^3

B) 64cm^3

C) 36cm^3

D) 56cm^3

As we know, volume of cube = a³

Total surface area of cube = 6a²

where a = side of the cube

Let the side of the cube be a.

Given, Total surface area = 96

6a^2 = 96 ⇒ a² = 16 ⇒ a = 4cm Thus, volume of cube = a³ = 43 = 64cm³

Hence, the correct option is (B).

As we know, volume of cube = a³

Total surface area of cube = 6a²

where a = side of the cube

Let the side of the cube be a.

Given, Total surface area = 96

6a^2 = 96 ⇒ a² = 16 ⇒ a = 4cm Thus, volume of cube = a³ = 43 = 64cm³

Hence, the correct option is (B).

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8. What is the highest common factor of 42, 168 and 210?

A) 14

B) 21

C) 42

D) 7

Given number is 42,168,210.

Factors of 42=2×3×7

Factors of 168 = 23 x 3 x 7

Factors of 210=2×3×5×7

H.C.F (42,168 and 210) = 2 x 3 x 7 = 42

Hence, the correct option is (C).

Given number is 42,168,210.

Factors of 42=2×3×7

Factors of 168 = 23 x 3 x 7

Factors of 210=2×3×5×7

H.C.F (42,168 and 210) = 2 x 3 x 7 = 42

Hence, the correct option is (C).

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9. Rohan borrowed Rs. 1000 from a bank for 2 years at the rate of 3% per annum. How much interest will he be changed?

A) Rs. 60

B) Rs. 600

C) Rs. 550

D) Rs.500

Given,

Money borrowed by Rohan= ₹1000 P

rinciple (P) = 1000

Rate (R) = 3%

Time (T) = 2 years

As we know, Simple Interest = P×R×T / 100

= 1000×3×2 /100= 6000 /100 = 60 =So, interest paid by Rohan = 60 Hence, the correct option is (A).

Given,

Money borrowed by Rohan= ₹1000 P

rinciple (P) = 1000

Rate (R) = 3%

Time (T) = 2 years

As we know, Simple Interest = P×R×T / 100

= 1000×3×2 /100= 6000 /100 = 60 =So, interest paid by Rohan = 60 Hence, the correct option is (A).

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10. A train 50m long passes a platform 100 m long in 10 sec. The speed of the train in km/hr is

A) 10

B) 54

C) 15

D) 100

As we know, Total length (distance) = (length of train + length of platform ) = (100 + 50) m = 150 m =150 /1000

Time 10 sec = 10/ 60× 60h

As we know, Required speed = Distance/ Time 150×60×60/1000×10 = 540000/ 10000 = 54 km/h Hence, the correct option is (B).

As we know, Total length (distance) = (length of train + length of platform ) = (100 + 50) m = 150 m =150 /1000

Time 10 sec = 10/ 60× 60h

As we know, Required speed = Distance/ Time 150×60×60/1000×10 = 540000/ 10000 = 54 km/h Hence, the correct option is (B).

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11. A train 300 m long is running with a speed of 54 km/h. In what time will it cross a telephone pole?

A) 20s

B) 15s

C) 17s

D) 18s

To cross the telephone pole, the train has to move a distance equal to its length, i.e., 300m.

Now, speed of train = 54km/h

= 54 x 5/8 m/s

= 15m/s

As we know, Time taken to cover the distance = Distance Travelled/ Speed

=300/ 15

= 20s Hence, the correct option is (A).

To cross the telephone pole, the train has to move a distance equal to its length, i.e., 300m.

Now, speed of train = 54km/h

= 54 x 5/8 m/s

= 15m/s

As we know, Time taken to cover the distance = Distance Travelled/ Speed

=300/ 15

= 20s Hence, the correct option is (A).

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12. If a trader sells an article at Rs. 528, then his loss 12%. What is the cost price (in Rs.) of the article.

A) 612

B) 576

C) 600

D) 633

Given:

Selling price = 528

Loss percentage = 12%

Let cost price be 100x.

So, loss=12x

Now, selling price = 100x−12x = 88x

According to the question, 88x = 528 ⇒ x = 6

Cost price = 100x = 100 x 6 = Rs. 600

Given:

Selling price = 528

Loss percentage = 12%

Let cost price be 100x.

So, loss=12x

Now, selling price = 100x−12x = 88x

According to the question, 88x = 528 ⇒ x = 6

Cost price = 100x = 100 x 6 = Rs. 600

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13. Medha sells her bag for Rs. 300 and losses Rs. 60. At what price must she sell the article to gain 15%?

A) Rs.146

B) Rs. 172

C) Rs. 414

D) Rs. 516

Let the cost price of the bag be Rs. X.

Selling price of the bag = Rs. 300

Loss of the bag = Rs. 60

According to the question, Cost price - Selling price = Loss

⇒x-300 = 60 ⇒ x = 360 So, the cost price of the bag = Rs. 360

New selling price of the article = 360× (115/100)

= Rs. 414

Let the cost price of the bag be Rs. X.

Selling price of the bag = Rs. 300

Loss of the bag = Rs. 60

According to the question, Cost price - Selling price = Loss

⇒x-300 = 60 ⇒ x = 360 So, the cost price of the bag = Rs. 360

New selling price of the article = 360× (115/100)

= Rs. 414

14 / 30

14. Walking as 3/5 of his usual speed, a man reaches his office 10 minute late. Find his usual time.

A) 16 minutes

B) 12 minutes

C) 15 minutes

D) 20 minutes

given,

Walking as 3/5 of his usual speed, a man reaches his office 10 minute late.

As we know, speed = distance/ time

Let the usual speed and usual time be 's' and 't' respectively and distance remains constant in both the cases.

⇒ s x t = 3s/5 x(t + 10)

⇒ st = 3st/5 + 6s

⇒ 2st /5= 6s

⇒ t = 15 minutes

∴Required usual time = 15 minutes

Hence, the correct option is (C).

given,

Walking as 3/5 of his usual speed, a man reaches his office 10 minute late.

As we know, speed = distance/ time

Let the usual speed and usual time be 's' and 't' respectively and distance remains constant in both the cases.

⇒ s x t = 3s/5 x(t + 10)

⇒ st = 3st/5 + 6s

⇒ 2st /5= 6s

⇒ t = 15 minutes

∴Required usual time = 15 minutes

Hence, the correct option is (C).

15 / 30

15. The measure of a right angle is:

A) 45°

B) 90°

C) 60°

D) 180°

The measure of a right angle is 90°.

When two straight lines intersect each other at 90° or are perpendicular to each other at the intersection, they form the right angle.

Hence, the correct option is (B).

The measure of a right angle is 90°.

When two straight lines intersect each other at 90° or are perpendicular to each other at the intersection, they form the right angle.

Hence, the correct option is (B).

16 / 30

16. The number comes next in the series 12, 36, 109, 329 ,...:

A) 900

B) 990

C) 890

D) None of the above

In the given series there is a increment of ×3+0, then ×3+1, x 3 + 2, and so on. That means: 12x3+0= 36

36x3+1 = 109

109 x 3+2 = 329

329 x 3 + 3 = 990

So, the next number in the series will be 990.

Hence, the correct option is (B).

In the given series there is a increment of ×3+0, then ×3+1, x 3 + 2, and so on. That means: 12x3+0= 36

36x3+1 = 109

109 x 3+2 = 329

329 x 3 + 3 = 990

So, the next number in the series will be 990.

Hence, the correct option is (B).

17 / 30

17. Which of the following is the odd one from the given alternatives?

A) Driving

B) Diving

C) Swimming

D) Sailing

The word Driving is different from the other words.

This is because the words Diving, Swimming, and Sailing are related to water, but Driving is different from the list.

Hence, the correct option is (A).

The word Driving is different from the other words.

This is because the words Diving, Swimming, and Sailing are related to water, but Driving is different from the list.

Hence, the correct option is (A).

18 / 30

18. '' SPECIAL '' is written as '''65'' in a certain code language what will " CONNECT" be codes as:

A) 70

B) 74

C) 32

D) 78

SPECIAL → Sum of the place value of each alphabet in the alphabetical order.

SPECIAL = 19+16+5+3+9+1+12 = 65

So, CONNECT = 3 + 15 + 14 + 14+ 5 +3 +20 = 74

Hence, the correct option is (B)

SPECIAL → Sum of the place value of each alphabet in the alphabetical order.

SPECIAL = 19+16+5+3+9+1+12 = 65

So, CONNECT = 3 + 15 + 14 + 14+ 5 +3 +20 = 74

Hence, the correct option is (B)

19 / 30

19. Ruhani is standing facing south. She walks 16 km straight, the turns left and walks another 13 km and turns right and walks 7km. Finally turns left and walks 9 km to reach her office. Which direction is she facing now?

A) West

B) North

C) East

D) South

Adobe Scan May 11, 2025

20 / 30

20. Five boys part in a race. Ram finished before Shyam but behind Arun. Suresh finished before Kabir but behind Shyam. Who won the race?

A) Ram

B) Shyam

C) Arun

D) Suresh

According to the given information, Ram finished before Shyam but behind Arun. Arun > Ram > Shyam Suresh finished before Kabir but behind Shyam. Shyam > Suresh > Kabir The correct order is: Arun > Ram > Shyam > Suresh > Kabir Arun won the race.

21 / 30

Language(ENGLISH)

21. Direction: Select the most appropriate synonym of the given word: Accorded

A) Solitary

B) Aloof

C) Give

D) Crowded

The most appropriate synonym of the given word Accorded is Give Accorded means to give something to somebody. Give means freely transferring the possession of (something) to (someone). Hence, the correct option is (C).

22 / 30

22. The books are __________ the table

A) in

B) with

C) at

D) on

The books are on the table. The meaning of given words: On: physically in contact with and supported by a surface. In: (used to show place) inside or to a position inside a particular area or object. With: in the company of somebody/something; in or to the same place as somebody/something. At: used to show where somebody/something is or where something happens. Hence, the correct option is (D)

23 / 30

23. The book ___________ is on the table is mine

A) who

B) which

C) whose

D) where

The book which is on the table is mine. Relative pronouns have two functions Like other pronouns, they stand for a noun or pronoun placed before them, and like conjunctions, they join subclauses with the main clause and start the adjective clause. In the given sentence the subject is 'the book'. "Who" is always used to set up a relative clause that describes a person. "Whose" is the possessive form of "who". Since the subject is not a person, we cannot use who or whose. "Where" is used in the case of places. "Which" is also used for an object. So, the use of which is appropriate here.

24 / 30

24. I don't like people ___________ arrive late.

A) which

B) whose

C) who

D) where

I don't like people who arrive late. 'Who' is used for people. A relative pronoun is used to connect a clause or phrase to a noun or pronoun. Here, 'who' connects the noun 'people to the clause 'arrive late.' Option (A) cannot be used as 'which is used for things. Options (B) cannot be used as 'whose' is the possessive form of 'who' and is used when some kind of possession is shown. As this sentence does not show that people are possessing or owning something. 'whose' cannot be used here. . Option (D) cannot be used as 'where' is used for place.

25 / 30

25. Direction: Choose the correctly spelt word:

A) Arrogance

B) Intelligent

C) covard

D) Photosinthesis

Arrogance is the correctly spelled word. Arrogance means an attitude of superiority manifested in an overbearing manner or in presumptuous claims or assumptions. Hence, the correct option is (A).

26 / 30

General Knowledge

26. The term 'Duckworth-Lewis' is associated with which sport?

A) Cricket

B) Squash

C) Hockey

D) Tennis

27 / 30

27. Who is the supreme commander of the Indian Armed Forces?

A) President

B) Prime Minister

C) Defence Minister

D) Longest serving Chieff to Staff

28 / 30

28. Who was India's first Chief of Defence Staff?

A) General Vijay Kumar Singh

B) General Manoj Mukund Naravane

C) General Arjan Singh

D) General Bipin Rawat

29 / 30

29. How many commands are there in Indian army?

A) 6

B) 7

C) 8

D) 12

30 / 30

30. Where is food digested in the human body?

A) Stomach

B) Lungs

C) Kidney

D) Heart

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LTL UDUMALAI TALENT HUNT COMPETITION 2025

LTL CLASS 8 & 9 UDUMALAI TALENT HUNT COMPETITION 2025

Learn to Lead Academy is conducting the Udumalai Talent Hunt Competition 2025 in Udumalpet. This competition is open to students from Class 4 to Class 11.

Prizes will be awarded to the top three performers, and certificates will be given to all participants.

We encourage all eligible students to join the competition and test their potential!

The number of attempts remaining is 2

Greetings from LEARN TO LEAD ACADEMY!!! All the best!!!

1 / 40

The total surface area of the hemi-sphere is 155232^2, then the radius is

42.5 cm

42 cm

43.5 cm

43 cm

2 / 40

2. Find the least number which divisible by each one of 6,9 and 14.

126

756

252

3 / 40

3. Find the greatest number of 4 digits such that they are exactly divisible by 12,15, and 20 .

9960

9580

9930

9870

4 / 40

4. The largest four digit number which is a perfect cube, is

8000

9261

8889

9999

5 / 40

5. A solid shape is generated by rotating a rectangle about any of its side. The shape will be

cuboid

cone

sphere

right cylinder

6 / 40

6. Factorise (p + q) (5p + 3) - (p + q)(p + 2).

(p - q)(2p + 3q)

(p + q)(4p - 1)

(p + q)(4p + 1)

None of the above

7 / 40

7. Anamika lent R s. 20000 on first January 2020 to her friend Supriya at 10 % simple interest which amount to R s 26000 after certain period of time. Find the time period

3 yr

2 yr

4 yr

1 yr

8 / 40

8. Anshul can finish the writing of the book in 10 days while Anuj can finish the same work in 12 days. If they work together , then how long they will take to finish the same work ?

50/11 days

60/11 days

43/11 days

None of these

9 / 40

9. Find the range of the following data.

30,32,35,36,30,40,42,50,60

10 / 40

10. Sohan walks at the uniform rate of 14 km/h. What distance would be cover in 3 h 10 min ?

45.00 km

44.33 km

46.5 km

None of the above

11 / 40

11. What is the compound interest R s 72030 for 1½ yr at 10% per annum compounded half yearly ?

R s. 85620

R s. 83483

R s. 83400

R s. 83383.72

12 / 40

12. If married price of an article is R s. 900 and it is sold at R s. 750, then the discount rate is

17.20%

16.67%

17.50%

16.75%

13 / 40

13. If 2 is added to the numerator of a fraction, it reduces to 1/2 and 1 is subtracted from the denominator, it reduces to 1/3 . Find the fraction.

2/9

3/11

3/10

5/9

14 / 40

14. Find the interest to be paid on R s. 18000 at 8 % per annum after 2 yr.

R s. 2900

R s. 2880

R s. 3000

R s. 2850

15 / 40

15. A streamer goes downstream from one point to another point in 8 h. It covers the same distance upstream in 9 h. If the speed of stream be 3 km /h, find the speed of the stream in still water.

440 km/h

432 km/h

450 km/h

480 km/h

16 / 40

16. The ----- in the region has been pleasant recently.

climate

weather

whether

season

17 / 40

17. Why do we always have to submit -----his authority?

under

with

for

18 / 40

18. He is ----- unlucky man.

the

No article

19 / 40

19. The work 'Bantering' means

Good humoured

Openly shareless

Blessing

Sudden gain

20 / 40

20. Choose the correct order to make the sentence below meaningful.

in the news bulletin (A) / did not feature (B) /that this matter (C)/ it was surprising (D).

CBAD

ADBC

DCBA

ABDAC

21 / 40

21. When a light ray travels from an optically rarer medium to a denser medium, then

it bends away from the normal

it bends towards the normal

it is undeviated

it is laterally displaced

22 / 40

22. Which of the following glands are responsible for pimples and acne?

Adernal gland

Sebaceous gland

Thyroid gland

Pituitary gland

23 / 40

23. What happens when a solution of metal oxide is tested with red litmus and blue litmus solution ?

Red litmus changes into blue colour

No change occurs in Red litmus solutions

Blue litmus changes into Red colour

None of the above

24 / 40

24. The image formed by a plane mirror is

virtual and smaller in size than object

virtual and same size as object

real and same size as object

virtual and bigger in size than object

25 / 40

25. Malaria is caused by

Acdes

Bacillus anthracis

Culex

Anopheles

26 / 40

26. Kaziranga National Park is located in

Uttarakhand

Karnataka

Assam

West Bengal

27 / 40

27. Name the polymer which is used in making non-stick cookware's.

Teflon

Rubber

Melamine

Nylon

28 / 40

28. Which of the following is not a common property of plastics?

Non-reactive

Light in weight

Durable

Good conductor of electricity

29 / 40

29. Plough is used for tilling the soil, adding manure , removing weeds etc. It comprises of strong triangular iron stipe called

Hoe

Blade

Plough share

Ploughs haft

30 / 40

30. A force of 50 N acts on an area of 0.4 m^2. The force is kept the same but the area is reduced to half. Which of the following is true ?

The pressure reduces to half

The pressure increases to double

The pressure reduces to one-fourth

The pressure remains same

31 / 40

31. Baburnama was written by

Humayun

Babur

Abul Fazl

Akbar

32 / 40

32. ------- is a group of people who make laws and run the government.

Congress

Judiciary

Government

Executive

33 / 40

33. Coal is an example of ------ energy resource.

renewable

non-renewable

human-made

non-ferrous

34 / 40

34. Which part of soil is fit for vegetarian ?

Sub soil

Top soil

Weathered rock material

Clay soil

35 / 40

35. Which one of the following constituents of the atmosphere causes greatest changes in climate and weather ?

Water vapour

Ozone

Nitrogen

Oxygen

36 / 40

36. In a group of five persons Kamal is the tallest while Leela is the shortest. Rashi is shorter than Kamal but taller than Vinita and Priti. Priti is second shortest person in the group. Who is the third tallest?

Vinita

Rashi

Priti

Leela

37 / 40

37. Choose the letter group that represents a relationship similar to the one expressed in the original pair of letter groups. SIMILAR : TJNMBS :: ORIGINAL 😕

PSJHJOBM

PSJJHOBN

PNMHJOBH

PSSJHOBM

38 / 40

38. Find the one that does not belong to the group.

Sahara : Africa

Thar : India

Gobi : Mangolia

Kalahari : America

39 / 40

39. Ravi ranked 14th from the top and 29th from the bottom among those who passed an examination. Five boys did not participate in examination and five get failed in it. How many boys were there in the class ?

40 / 40

40. A's mother is sister of 'B' and daughter of 'C' ,'D' is the daughter of 'B' and sister of 'E'. How is 'C' is related to 'E'?

Sister

Mother

Father

Grand mother or grand father

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LTL UDUMALAI TALENT HUNT COMPETITION 2025

LTL CLASS 10 UDUMALAI TALENT HUNT COMPETITION 2025

Learn to Lead Academy is conducting the Udumalai Talent Hunt Competition 2025 in Udumalpet. This competition is open to students from Class 4 to Class 11.

Prizes will be awarded to the top three performers, and certificates will be given to all participants.

We encourage all eligible students to join the competition and test their potential!

The number of attempts remaining is 3

Greetings from LEARN TO LEAD ACADEMY !!! All the best

1 / 25

The discriminant of the quadratic equation ax^2-4ax-2a+1=0 is

4a (2a+1)

2a (2a+1)

4a (2a-1)

2a (4a-1)

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2. Two vertices of a triangle are (-2,-3) and (4,-1) and centroid is at the origin. The coordinates of the third vertex of the triangle are

(-2,3)

(-3,-2)

(-2,4)

(4,-2)

3 / 25

3. If tan θ= 12/5 then 13 sin θ/3=

4 / 25

4. A hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively , then the volume of the metal used in making the pipe is (Take Π=22/7)

1048 cm^3

1056 cm ^3

1060 cm ^3

1064 cm^3

5 / 25

5. The pair of linear equations

k x +4y =5

3x + 2y = 5 is consistent only when

k ≠ 6

k = 6

k ≠ 3

k = 3

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6. Two lenses of power +2.50D and -3.75 D are combined to form a compound lens. Its focal length in cm will be

-40

-80

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7. The speed of light in air is 3 × 10^8 ms^-1 whereas that of the speed of light in water is 2.26 ×10^8 ms^-1 . What is the refractive index of water with respect to air ?

2.64

1.32

0.75

8 / 25

8. A charge of 100 C flows through a bulb in 5 minutes. How much current is flowing through the bulb?

500 A

100 A

20 A

0.3 A

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9. The resistivity does not charge if

the material is charged

the temperature is charged

the shape of the resistor is changed

both material and temperature are changed

10 / 25

10. (A) Value of the frequency of AC supply in India - (i) Green (yellow)

(B) Colour of the earth wire in household wiring - (ii) 50

be put in a domestic electric circuits. - (iii) 15

(D) Rating of the fuse wire (in A) used in

domestic power circuits - (iv) Red / Brown

A - (i), B - (ii), C - (iii), D - (iv)

A - (iii), B - (i), C - (ii), D - (iv)

A - (ii), B - (i), C - (iv), D - (iii)

A - (iv), B - (iii), C - (ii), D - (i)

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11. Anaerobic process

takes place in yeast during fermentation

takes place in the presence of oxygen

produce only energy in the muscles of human beings

produces ethanol, oxygen and energy

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12. Which one of the following statements is correct about the human circulatory system?

Blood transports only oxygen and not carbo dioxide

Human hearts has five chambers

Valves ensure that the blood does not flow backwards,

Both oxygen-rich and oxygen-deficient blood gets mixed in the heart.

13 / 25

13. Most of the digestion and absorption of the food takes place in the

small intestine

liver

stomach

large intestine

14 / 25

14. Which of the following plays the important role of creating a suction force which pulls water upwards from the roots of a tree to its leaves ?

Gravitation

Resipiration

Transpiration

Photosynthesis

15 / 25

15. If salivary amylase is lacking in the saliva, which of the following events in the mouth cavity will be affected ?

Proteins breaking down into amino acids

Starch breaking down into sugars

Fats breaking down into fatty acids and glycerol

Absorption of vitamins

16 / 25

16. Which among the following statement(s) is (are) true? Exposure of silver chloride to sunlight for long duration turns grey due to

(i) the formation of silver by decomposition of silver chloride

(ii) sublimation of silver chloride

(iii) decomposition of chloride gas from silver chloride

(iv) oxidation of silver chloride

(i) only

(i) and (iii)

(ii) and (iii)

(iv) only

17 / 25

17. Calcium oxide reacts vigorously with water to produce slaked lime.

Cao(s) + H2O (l) →Ca(OH)2(aq)

This reaction can be classified as :

(A) Combination reaction (B) Exothermic reaction

Which of the following is a correct option?

(A) and (C)

(A),(C) and (D)

(A) and (B)

18 / 25

18. Which of the following gives the correct increasing order of acidic strength ?

Water <Acetic acid<Hydrochloric acid

Water<Hydrochloric acid<Acetic acid

Acetic acid<Water<Hydrochloric acid

Hydrochloric acid< Water<Acetic acid

19 / 25

19. Na+ has

11 protons, 10 electrons

10 protons , 11 electrons

12 protons, 11 electrons

11 protons, 12 electrons

20 / 25

20. Which of the following compound contains double bond?

H2O

CH4

NH3

21 / 25

21. When world war I started ?

1916

1915

1914

1946

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22. Which country were the main cause to world war I

Russia

Germany

India

USA

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23. Which country is first in population

India

Russia

China

Japan

24 / 25

24. Which country won 5 world cups in FIFA world cup

Portugal

Brazil

Germany

Argentina

25 / 25

25. How many states are in India

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