Number System - Quantitative Aptitude Questions with Answers

(1) Find the Lowest Common Factor (LCM) of 18, 60
[A] 6
[B] 18
[C] 90
[D] 180

Comment

Answer: Option [D]

The LCM of 18 and 60 is (2*3*3*10) = 180

(2) Find the Highest Common Factor (HCF) of 18 and 60
[A] 6
[B] 9
[C] 20
[D] 30

Comment

Answer: Option [A]

The HCF of 18 and 60 is (3*3) = 9

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(3) The product of two successive numbers is 8372. Which is the smaller between these two numbers?
[A] 75
[B] 64
[C] 91
[D] 82

Comment

Answer: Option [C]

Let the two numbers be x and (x+1) respectively

So, x(x+1) = 8372

x2 + x - 8372 = 0

x2 + 92x - 91x -8372 = 0

(x + 92)(x - 91) = 0

x = 91

Hence the two numbers are 92 and 91 and the smaller number is 91

(4) The sum of four consecutive even numbers is 100. What is the sum of the squares of these numbers?
[A] 2430
[B] 2484
[C] 2520
[D] 2655

Comment

Answer: Option [C]

Let the four consecutive even numbers be (x-2), x, (x+2) and (x+4) respectively.

Then, (x-2)+x+(x+2)+(x+4) = 100

4x + 4 = 100

x = 24

Hence the numbers are 22, 24, 26 and 26

The sum of their squares

= 222 + 242 + 262 + 282

= 2520

(5) A, B, C, D, E are five consecutive odd numbers. The sum of A and C is 30. What is the value of E?
[A] 21
[B] 23
[C] 25
[D] 27

Comment

Answer: Option [D]

Let the five consecutive odd numbers be (x-4), (x-2), x, (x+2), (x+4) respectively.

Now, (x-4) + x = 30

x = 17

Therefore the value of E is (17+4) = 21

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