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HCF & LCM || Quantitative Aptitude || CAT 2021 || 8 April

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Question 1

Three bells chime at an interval of 18 min, 24 min and 32 min. At a certain time they begin to chime together. What length of time will elapse before they chime together again?

Question 2

The sum of two numbers is 135 and their HCF is 9. How many such pairs of numbers can be formed ?

Question 3

There are three pieces of cake weighing 9/2 lbs, 27/4 lbs and 36/5 lbs. Pieces of the cake are equally divided and distributed in such a manner that every guest in the party gets one single piece of cake. Further the weight of the pieces of the cake is as heavy as possible. What is the largest number of guest to whom we can distribute the cake?

Question 4

How many ordered pairs (a, b) exist such that HCF (a, b) = 1 and a × b = 1386? (TITA)

Question 5

If the HCF of is , where a and b positive integers, what is the minimum possible value of the LCM of x and y?

Question 6

In a country named “Woohooland”, there are 2 flashing lights in traffic signal, a black one and a purple one. The black one flashes 5 times/minute and the purple one flashes 4 times/minute. If the signal starts off at the same time, how many times do they flash together in a day?

Question 7

What is true about the unit’s digits of the LCM of 51001 − 1 and 51001 + 1

Question 8

The LCM and HCF of two number are 84 and21 respectively. If the ratio of two numbers is 1 : 4, then the larger among two numbers is:

Question 9

Two distinct positive odd integers m and n have their highest common factor as 2n – 1 where n is an integer and the difference of HCF and n should be smallest composite number. What is the possible highest common factor of the sum and the difference of m and n?

Question 10

How many triplets (x, y, z) exist such that x, y and z are natural numbers below 10 and their LCM is more than thrice their HCF?
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Apr 8CAT & MBA