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# LCM & HCF || 14.05.2021

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Question 1

When 383, 364 and 174 are divided by a certain number, the same remainder is obtained in each case. Find the number.

Question 2

There are 3 prime numbers, the product of 1st two numbers is 1891 and the product of last two numbers is 7991. Find all the numbers?

Question 3

Four bells ring at 16, 24, 36, 42 minute intervals. If they ring together at 6 .00 a.m., after how long would they next ring together?

Question 4

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they next meet at the starting point again?

Question 5

There are three tanks with 1139 litres, 1411 litres and 1649 litres of diesel. The greatest possible size of the measuring vessel with which a man can measure up the diesel of any tank while every time the vessel must be completely filled.

Question 6

In a game, 4 players throw a ball at their respective targets. The first, second, third, and fourth players hit the target once every 5 seconds, 6 seconds, 7 seconds, and 8 seconds respectively. If all of them hit their target at 10:10 am, when will they hit their targets together again?

Question 7

Let x be the greatest number which when divides 955, 1027, 1075, the remainder in each case is the same. Which of the following is NOT a factor of x?

Question 8

The HCF of (x6−1) and (x4+2x3−2x−1) is:

Question 9

The sum and difference of HCF and LCM of two numbers is 592 and 518. Find both the numbers if the sum of these two numbers is 296?

Question 10

The greatest number that can divide 140, 176, 264 leaving remainders of 4, 6 and 9 respectively is:
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