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Question (1)

QN0029453

A map has an RF of 1 : 25,00,000. If the distance between two towns on the map is 8 cm, what is the actual geographical distance between them?

(A) 200 km
(B) 20 km
(C) 250 km
(D) 320 km

Correct Answer: A

Explanation:

Since 1 cm on the map represents 25 km on the ground, 8 cm represents 8 × 25 = 200 km.

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Question (2)

QN0029454

A recipe uses sugar, flour, and butter in the ratio 2 : 5 : 3. If 45 cups of mixture are prepared, how much flour is used?

(A) 20 cups
(B) 22.5 cups
(C) 25 cups
(D) 15 cups

Correct Answer: B

Explanation:

Total parts = 2 + 5 + 3 = 10. Flour required = 45 × 5/10 = 22.5 cups.

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Question (3)

QN0029455

Three numbers are in the ratio 4 : 5 : 6 and their sum is 150. What is the largest number?

(A) 50
(B) 60
(C) 45
(D) 40

Correct Answer: B

Explanation:

Total parts = 15. One part = 150 ÷ 15 = 10. Largest number = 6 × 10 = 60.

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Question (4)

QN0029456

A class has boys and girls in the ratio 7 : 5. If there are 48 students in all, how many are girls?

(A) 20
(B) 24
(C) 28
(D) 30

Correct Answer: A

Explanation:

Total ratio parts = 12. Number of girls = 48 × 5/12 = 20.

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Question (5)

QN0029457

A paint mixture contains red, blue and yellow colours in the ratio 3 : 2 : 1. If 12 litres of red paint are used, how much total paint is prepared?

(A) 18 L
(B) 24 L
(C) 30 L
(D) 36 L

Correct Answer: B

Explanation:

Red paint represents 3 parts = 12 L, so 1 part = 4 L. Total paint = 6 parts = 24 L.

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Question (6)

QN0029458

A pie chart shows expenditure on Food, Rent and Savings in the ratio 4 : 3 : 2. What angle represents Savings?

(A) 80°
(B) 90°
(C) 100°
(D) 120°

Correct Answer: A

Explanation:

Savings angle = (2/9) × 360° = 80°.

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Question (7)

QN0029459

Two ratios x : y = 9 : 12 and p : q = 6 : 8. Which statement is true?

(A) They are not proportional
(B) They are inversely proportional
(C) They are proportional
(D) Cannot be determined

Correct Answer: C

Explanation:

Since 9 × 8 = 12 × 6 = 72, the two ratios are proportional.

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Question (8)

QN0029460

A worker completes a job in 15 days. Another worker can do the same job in 10 days. If they work together, in one day they complete what fraction of the work?

(A) 1/6
(B) 1/5
(C) 1/15
(D) 1/3

Correct Answer: A

Explanation:

Combined work in one day = 1/15 + 1/10 = 1/6 of the work.

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Question (9)

QN0029461

If 12 machines manufacture 360 toys in a day, how many toys will 18 identical machines manufacture in a day?

(A) 480
(B) 520
(C) 540
(D) 600

Correct Answer: C

Explanation:

Number of toys is directly proportional to machines. Toys = 360 × 18/12 = 540.

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Question (10)

QN0029462

A train travelling at 60 km/h takes 5 hours to complete a journey. If its speed becomes 75 km/h, how long will it take?

(A) 4 h
(B) 5 h
(C) 6 h
(D) 3 h

Correct Answer: A

Explanation:

Speed and time are inversely proportional. Time = (60 × 5)/75 = 4 hours.

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Question (1)

A map has an RF of 1 : 25,00,000. If the distance between two towns on the map is 8 cm, what is the actual geographical distance between them?

Explanation:

Link:

Question (2)

A recipe uses sugar, flour, and butter in the ratio 2 : 5 : 3. If 45 cups of mixture are prepared, how much flour is used?

Explanation:

Link:

Question (3)

Three numbers are in the ratio 4 : 5 : 6 and their sum is 150. What is the largest number?

Explanation:

Link:

Question (4)

A class has boys and girls in the ratio 7 : 5. If there are 48 students in all, how many are girls?

Explanation:

Link:

Question (5)

A paint mixture contains red, blue and yellow colours in the ratio 3 : 2 : 1. If 12 litres of red paint are used, how much total paint is prepared?

Explanation:

Link:

Question (6)

A pie chart shows expenditure on Food, Rent and Savings in the ratio 4 : 3 : 2. What angle represents Savings?

Explanation:

Link:

Question (7)

Two ratios x : y = 9 : 12 and p : q = 6 : 8. Which statement is true?

Explanation:

Link:

Question (8)

A worker completes a job in 15 days. Another worker can do the same job in 10 days. If they work together, in one day they complete what fraction of the work?

Explanation:

Link:

Question (9)

If 12 machines manufacture 360 toys in a day, how many toys will 18 identical machines manufacture in a day?

Explanation:

Link:

Question (10)

A train travelling at 60 km/h takes 5 hours to complete a journey. If its speed becomes 75 km/h, how long will it take?

Explanation:

Link:

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