Number System - Quantitative Aptitude Questions with Answers
Questions
1
Find the Lowest Common Factor (LCM) of 18, 60
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
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?
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?
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?
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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