Quaid-i-Azam University Entry Test Mathematics: Averages MCQs

Quaid-i-Azam University Entry Test Mathematics: Averages MCQs — sample questions

1. Question 1

   Q1. If the sum of three consecutive odd natural numbers is 57, then the first number is:

   • A) 17
   • B) 18
   • C) 27
   • D) 19

   Answer: 17

   Explanation: Three consecutive odd numbers: n + (n+2) + (n+4) = 3n + 6 = 57 → n = 17.

2. Question 2

   Q2. 2^5 means

   • A) 2 x 5
   • B) 2 + 5
   • C) 2 x 2 x 2 x 2 x 2
   • D) 2 ÷ 5

   Answer: 2 x 2 x 2 x 2 x 2

   Explanation: An exponent means repeated multiplication: 2⁵ = 2 × 2 × 2 × 2 × 2 = 32.

3. Question 3

   Q3. The sum of 5 successive odd numbers is 1075. What is the largest of these numbers?

   • A) 215
   • B) 223
   • C) 219
   • D) 217

   Answer: 219

   Explanation: Five consecutive odd numbers: n−4, n−2, n, n+2, n+4; sum = 5n = 1075 → n = 215; largest = 219.

4. Question 4

   Q4. If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?

   • A) 55/601
   • B) 601/55
   • C) 11/120
   • D) 120/11

   Answer: 11/120

   Explanation: Numbers with sum 55, HCF 5, LCM 120 are 15 and 40; sum of reciprocals = 1/15+1/40 = 11/120.

5. Question 5

   Q5. The difference between two numbers is 18. If 4 times the second number is 18 less than three times the first number, what is the sum of these two numbers?

   • A) 324
   • B) 54
   • C) 90
   • D) 36

   Answer: 90

   Explanation: From x − y = 18 and 4y = 3x − 18, solving gives y = 36 and x = 54, so their sum is 90.