Problems on H.C.F and L.C.M Part-5

1. The least square number which divides 8, 12 and 18 is?
A. 100 
B. 121 
C. 64 
D. 144

2. The least number which when divided by 8, 12 and 16, leave in each remainder
3, is?
A. 71 
B. 70 
C. 69 
D. 51

3. The least number which when add 3 to it, completely divided 8, 12 and 18 is?
A. 71 
B. 70 
C. 69 
D. 68

4. The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is?
A. 1267 
B. 1265 
C. 1261 
D. 68

5. The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
A. 1439 
B. 1440 
C. 1459 
D. 1449

6. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 
B. 41 
C. 51 
D. 61

7. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of  14, 19, 29 and 34 respectively is?
A. 1994 
B. 1494 
C. 1349 
D. 1496

8. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
A. 5 min 
B. 5.5 min 
C. 5.2 min 
D. None

9. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
A. 36 
B. 66 
C. 132 
D. 264

10. Least perfect square number, exactly divisible by 21, 36 and 56 is?
A. 3600 
B. 504 
C. 441 
D. 7056

11. A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?
A. 39 
B. 40 
C. 37 
D. 35

12. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
A. 3 
B. 4 
C. 5 
D. 6

13. A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.
A. 51 
B. 61 
C. 47 
D. 45

14. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
A. 50 
B. 36 
C. 24 
D. 12

15. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
A. 56 
B. 42 
C. 38 
D. 34

16. A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
A. 485 
B. 431 
C. 391 
D. 381

17. How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
A. 216 
B. 192 
C. 108 
D. 256

18. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 
B. 29 
C. 23 
D. 31

19. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
A. 5 
B. 7 
C. 11 
D. 13

20. The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
A. 1 min 
B. 2 min 
C. 3 min 
D. None

21. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
A. 7203 
B. 2403 
C. 3603 
D. 4803

22. Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
A. 11 hours 
B. 12 hours 
C. 220 hours 
D. 22 hours

23. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
A. 9985 
B. 9960 
C. 9957 
D. 9975

24. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
A. 1020 
B. 1026 
C. 1030 
D. 1022

25. Find the greatest number that exactly divides 35, 91 and 840?
A. 5 
B. 6 
C. 7 
D. 8