# RRB Free Mock Test 2021 – HCF AND LCM || Check Here!!!

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RRB Free Mock Test 2021 – HCF AND LCM || Check Here!!! we are conducting free mock test series for the aspirants who are tried to achieve your goal. We have providing the free mock tests for the all RRB aspirants on the topic of Hcf and Lcm contains 30 questions. The entire mock test series will be free for the candidate who wants to take the test. Our mock test are available free of cost. A candidate gets the chance to improve their career.

We are conducting the mock test on every Thursday for aspirants. Answers and solution keys will be release Thursday evening 5 pm. candidates can identify their mistakes sections by practicing our mock test. It’s very useful for the RRB aspirants. Don’t miss that opportunity. Mock test questions are only standard and latest concepts. Mock test question are available here.

### HCF AND LCM

1.Calculate H.C.F of 4 /9 , 2/ 5 , 6/ 8

a) 1 /180 b) 2/ 481 c) 2 /350 d) 1/ 142

2. Find L.C.M of 1/3 , 5 /6 , 2 /9 , 4/ 27

a) 1 /54 b) 10/ 27 c) 20/ 3 d) 1/27

3. If the ratio of three numbers is 1:2:3 and their H.C.F is 12 then find the numbers?

a) 12,24, 36 b) 24, 48, 72 c) 12,24, 48 d) 48,60,72

4. If the ratio of two numbers is 3:4 and their H.C.F is 4. Find their L.C.M

a) 24 b) 36 c) 48 d) 96

5. If the sum of two numbers is 528 and their H.C.F is 33. How many pairs can there be to fulfill this condition?

a) 3 b) 4 c) 6 d) 10

6. Two numbers are in the ratio 3 : 4 and the product of their L.C.M. & H.C.F is 10800. What is the sum of the numbers?

a) 210 b) 240 c) 225 d) 180

7. The L.CM of two numbers is 14times of their H.CF. And the sum of L.C.M and H.C.F is 600. One number is 280, find another number

a) 40 b) 60 c) 80 d) 100

8. The L.C.M and H.C.F of two numbers is 45 & 3 respectively and the sum of those numbers is 24, find their difference?

a) 2 b) 4 c) 6 d) 8

9. The L.C.M of three numbers is 120. Find which of the following is not a H.C.F of those numbers?

a) 8 b) 12 c) 24 d) 35

10. The H.C.F of two numbers is 8. Find which of the following is not a L.C.M of those numbers?

a) 24 b) 48 c) 56 d) 60

11. Find the H.C.F of 2 3 × 3 2 × 5 × 7 4 , 22 × 3 5 × 5 2 × 7 3 and 2 3 × 5 3 × 7

a) 2 3 × 5 3 × 7 2 b) 2 3 × 3 5 × 5 3 × 7 4 c) 2 2 × 5 × 7 2 d) 2 2 × 3 2 × 5 × 7 2

12. Find the L.C.F of 2 7 × 5 4 × 7 3 > 25 × 5 × 112 and 5 3 × 7 5 × 113

a) 2 7 × 5 4 × 7 3 b) 2 7 × 5 4 × 113 c) 2 5 × 5 4 × 7 5 d) 2 7 × 5 4 × 7 5 × 113

13. Calculate the H.C.F of 0.54> 1.8 and; 7.2

a) 1.8 b) 0.18 c) 0.018 d) 0.108

14. The H.C.F and L.C.M of two numbers is 6 and 1260 respectively. One number is 126, find another number?

a) 30 b) 60 c) 90 d) 15

15. The H.C.F and L.C.M of two numbers is 50 and 250 respectively. If the first number is divided by 2 it gives a quotient is 50, find the second number?

a) 100 b) 125 c) 150 d) 175

16. If the ratio of four numbers is 3:4:6:7 and their H.C.F is 13. Find the numbers

a) 65> 13> 26> 39 b) 26> 39> 52> 65 c) 39> 52> 78> 91 d) 39> 52> 45> 91

17. Three numbers are in the ratio 3:4: 5 and their LCM is 240. Then the HCF of these numbers is

a) 4 b) 8 c) 12 d) 20

18. Ratio of two numbers is 2:3 and their L.C.M is 48. Find the sum of two numbers

a) 28 b) 32 c) 40 d) 64

19. Sum of two numbers is 216 and their H.C.F is 27. Find the numbers

a) 27, 189 b) 81, 189 c) 108, 108 d) 154, 162

20. If the L.C.M and H.C.F of two numbers is 495 and 5 respectively. Sum of those numbers is 1000. Find the difference of these numbers

a) 5 b) 10 c) 15 d) 20

21. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly

a) 29 L b) 31 L c) 37 L d) 41L

22. Find the smallest number which is exactly divided by 12,15, 20 and; 27

a) 540 b) 570 c) 240 d) 270

23. Find the smallest number which gives a remainder as 2 when it divided by 6,7, 8, 9 and; 12

a) 576 b) 612 c) 534 d) 506

24. What is the least number which when increased by 5 is exactly divisible by 24,32, 36 and 54?

a) 869 b) 864 c) 859 d) 1723

25. Find the number which when added to 2497 is exactly divided by 3, 4, 5, 6;?

a) 17 b) 21 c) 23 d) 33

26. Find the highest four digit number which is exactly divided by 15, 25, 40 and; 75?

a) 9600 b) 3000 c) 9800 d) 8540

27. Find the 5 digit smallest number that is completely divisible 16, 24, 36 and 54?

a) 10268 b) 10322 c) 10346 d) 10368

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

a) 20 minutes 18 second b) 40 minutes 20 second c) 46 minutes 12 second d) 30 minutes

29. Six bells ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. They started ringing simultaneously. How many times will they ring together in 30 min?

a) 10 b) 12 c) 15 d) 16

30. Find a least number which when divided by 20, 25, 35 and 40 leaves remainder as 14 , 19, 29 and 34 respectively?

a) 1364 b) 1394 c) 1424 d) 1476