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CUET UG Quantitative Reasoning practice questions

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Quantitative Reasoning questions with answers

Question 1 / Quantitative Reasoning

The sum of the LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one number is 70, find the other number.

A. 160

B. 164

C. 168

D. 172

Correct answer

C. 168

Why

Let HCF be x. Then LCM is 60x, so 61x = 854 and x = 14. LCM = 840. Using LCM x HCF = product of numbers, the other number is 168.

Question 2 / Quantitative Reasoning

In a class of 40 students, the ratio of boys to girls is 3:2. Boys average 42 marks and girls average 46 marks. Find the class average.

A. 43.4

B. 43.6

C. 43.8

D. 44

Correct answer

B. 43.6

Why

Use weighted average: (3 x 42 + 2 x 46) / (3 + 2) = 218 / 5 = 43.6.

Question 3 / Quantitative Reasoning

The sum of three numbers is 136. The first-to-second ratio is 2:3 and the second-to-third ratio is 5:3. Find the first number.

A. 42

B. 40

C. 36

D. 32

Correct answer

B. 40

Why

Make the second term common: 2:3 becomes 10:15 and 5:3 becomes 15:9. Total parts = 34, so one part is 4 and the first number is 40.

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