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# AFCAT || Numerical_Ability || LCM_&_HCF || Quiz

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Question 1

In a fire range, 4 shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once every 5 s, 6s, 7 s and 8 s respectively. If all of them hit their target at 9 : 00 am, when will they hit their target together again?

Question 2

What is the highest common factor of 2x3 + x2 – x – 2 and 3x3 – 2x2 + x – 2?

Question 3

The LCM of two integers is 1237. What is their HCF?

Question 4

The HCF of two natural numbers m and n is 24 and their product is 552. How many sets of values of m and n are possible?

Question 5

If (x + k) is the common factor of x2 + ax + b and x2 + cx + d, then what is k equal to?

Question 6

What is the number of integral solutions of the equations HCF (a, b) = 5 and a + b = 65?

Question 7

Let a, b be positive integers. What is HCF   equal to?

Question 8

For any integers ‘a’ and ‘b’ with HCF
(a, b) = 1, what is HCF (a + b, a – b) equal to?

Question 9

In a fire range, 4 shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hit the target once every 5 s, 6s, 7 s and 8 s respectively. If all of them hit their target at 9 : 00 am, when will they hit their target together again?

Question 10

A light was seen regularly at an interval of 13 seconds. It was seen for the first time at 1 hour 54 minutes 50 seconds (a.m.) and the last time at 3 hours 17 minutes 49 seconds (a.m.). How many times was the light seen?
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