L.C.M and H.C.F (Quantitative Aptitude) Free Mock Test

LCM & HCF- LCM and HCF is the most basic concept and one can find LCM and HCF of a given pair of numbers by using simple division and multiplication method. Scoring marks in LCM and HCF is super easy if one has a thorough knowledge of the concept.In this post, we will discuss what is LCM and HCF and also solve few frequently asked questions by using simple division and multiplication method. This post is divided into three parts- the first part is the Introduction of few terms and their definitions which are important while solving LCM and HCF questions, the second and the third part will discuss Module 1 and Module 2 from the concept of LCM and HCF. This will help you solve LCM and HCF questions using simple division and multiplication method.

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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Three measuring rods are 64 cm,80 cm and 96 cm in length . What is the least length of cloth that
can can be measured exact number of times using any one of these rods?

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

The sum of two numbers is 528 and their H.C.F is 33. What is the number of pairs of such numbers?

Hint

Let the number be 33x and 33y where x and y are co-prime.

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

The largest numbers which divides 30, 78 and 102 to leave the same remainder in each case is

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Find the least number of five digits which is exactly divisible by 12, 15 and 18.

Hint

The least number of 5 digits is 10000. L.C.M. of 12, 15 and 18 is 180 . On dividing 10000 is
100.
=> 10000 + 180- 100 = 10080 is divisible by 180.

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19 , 29 and 34 respectively is

Hint

Note that 20 -4 = 6; 25 -19 = 6;35-29= 6;40- 34 = 6
Required number = L.C.M. of ( 20, 25, 35 and 40)

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Find the greatest unit of time with which 5 hours 15 minutes and 8 hours 24 minutes can both be
represented as integers.

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

The L.C.M of two numbers is 14 times their H.C.F . The sum of the L.C.M. and the H.C.F . is 600. If one number is 280 , then the other number is

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A gardener had a number of shrubs to plant in rows . At first he tried to plant 8, then 12 and then 16 in a row but he always had 3 shrubs left with him . On trying 7 shrubs he was left with none.Find the total number of shrubs.

Hint

L.C.M of 8,12,16 = 48
Now, 48 x 1 + 3 = 51 – not divisible by 7
48 x 2 + 3 = 99 – not divisible by 7
48 x 3 + 3 = 147 – not divisible by 7
Required number = 147

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of these numbers is 275, then find the other number.

Hint

Product of two number s = product of their H.C.F. and L.C.M.
required number = 11 X 7700/275 = 308

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Six bells commencing tolling together toll at intervals of 2, 3, 6, 8 , 10 and 12 seconds respectively.In 30 minutes how many times do they toll together?

Hint

L.C.M of 2, 4, 6, 8, 10 and 12 is 120.
so, the bells will toll together after 120 seconds i.e. 2 minutes .
In 30 minutes the bells toll together 30/2 + 1 times i.e. times.