CUET General Test Question Paper 2024 - Set 2

41.		The present age of Harish is 8 times the sum of the ages of his two sons. After 8 years, his age will be twice the sum of the ages of his sons. What is Harish’s present age?

A. 31

B. 32

C. 33

D. 34

View Answer Discuss Work Space

Answer: option b

Explanation:

Let the sum of the ages of Harish’s sons be x. Harish’s age is 8x. After 8 years, 8x + 8 = 2(x + 16). Solving gives x = 4, so Harish’s age is 32.

42.		In a class of 40 students, the ratio of boys and girls is 3 : 2 and the average marks scored by boys is 42 and by girls is 46. Then the average marks scored by the whole class is:

A. 43.4

B. 43.6

C. 43.8

D. 44

View Answer Discuss Work Space

Answer: option b

Explanation:

Let the number of boys be 3x and girls be 2x, where 3x + 2x = 40 ⇒ x = 8.

Then, boys = 24 and girls = 16.

Total marks for boys = 24 × 42 = 1008.

Total marks for girls = 16 × 46 = 736.

Average marks for the class:(1008 + 736) / 40 = 43.6

43.		The sum of three numbers is 136. If the ratio between the first number and the second number is 2 : 3 and that between the second and the third number is 5 : 3, then the first number is:

A. 42

B. 40

C. 36

D. 32

View Answer Discuss Work Space

Answer: option b

Explanation:

Let the three numbers be 2y, 3y, and 3z.

Since 3y = 5z, y = (5z) / 3.

Substitute in the sum equation: 2y + 3y + 3z = 136 ⇒ 10z / 3 + 3z = 136 4. Solving gives z = 24 and y = 40, so the first number is 40.

44.		An item is sold for Rs. 504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price?

A. Rs. 120

B. Rs. 135

C. Rs. 150

D. Rs. 160

View Answer Discuss Work Space

Answer: option c

Explanation:

Let the cost price be x.

Selling price after 5% profit is 1.05x = 504, so x = 504 / 1.05 = 480.

Marked price (before discount) is 504 / 0.8 = 630.

Difference between marked price and cost price is 630 - 480 = 150.

45.		A certain sum becomes Rs. 2,356 in 3 years and Rs. 2,660 in 5 years on simple interest. The value of the sum is:

A. Rs. 1,800

B. Rs. 1,880

C. Rs. 1,900

D. Rs. 1,980

View Answer Discuss Work Space

Answer: option c

Explanation:

Difference in interest over 2 years: 2,660 - 2,356 = 304. Annual interest: 304 / 2 = 152. Sum = 2,356 - (3 × 152) = 1,900.

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CUET General Test Question Paper 2024 - Set 2

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