HCF and LCM Questions Part-2
1. The H.C.F of two numbers is 12 and their L.C.M is 360. If one of the numbers is 36. Find the other number?
a) 80
b) 90
c) 100
d) none
2. Four bells ring at 24, 30, 40 & 48 seconds respectively. If all of them ring it at 12.30 pm. The immediate next time was
a) 12.43p.m
b) 12.34p.m
c) 1.00p.m
d) none
3. The least square number which is exactly divisible by 8, 12, 20, 48 & 75.
a) 1200
b) 900
c) 3600
d) none
4. Find the smallest number which when divided by 6, 9, 12 & 15 leaves 5 as remainder in each case
a) 185
b) 158
c) 365
d) none
5. Find the least number which when increased by 6 is exactly divided by 12, 21 & 35
a) 441
b) 144
c) 414
d) none
6. What is the greatest number of 4 digits exactly divisible by 2, 3, 4, 5 & 6.
a) 1160
b) 9960
c) 9906
d) none
7. What is least number of 4 digits exactly divisible by 2, 3, 4, 5, 6 & 7.
a) 1160
b) 1260
c) 1620
d) none
8. Find the smallest number which when divided by 32, 40, 56 leaves 12, 20, 36 as remainders respectively
a) 1140
b) 1120
c) 1410
d) none
9. Find the least number which when divided by 3, 5, 9 & 15 leaves 1 as remainder when divided by 34 leaves no remainder
a) 163
b) 316
c) 136
d) none
10. What is the minimum number of square slabs required for laying the floor of room 4m37c.m long and 1m71cm broad?
a) 270
b) 277
c) 200
d) none
11. A trader has three kinds of oil. The first is 28kgs.,the second is 70kgs. And the third is 84kgs. Find the minimum number of packets to store the oil with out mixing?
a) 24
b) 48
c) 12
d) none
12. The L.C.M. of two numbers is 15 times its H.C.F. If the product of those number’s is 14415. Find H.C.F
a) 30
b) 13
c) 31
d) none
13. In finding H.C.F. of two numbers by division method, the quotients are 2, 4, 6 respectively and the last divisor is 17. Find those numbers.
a) 425, 952
b) 452, 952
c) 425, 925
d) none
14. Find the length of the largest square brick, which can be used for paving the floor of 5.89mts X 3.99mts.
a) 91cm.
B) 19cm.
c) 65cm.
d) none
15. Find the second smallest multiple of 36 which when divided by 30, 45, 75 and 135 leaves 18 as remainder in each case
a) 1368
b) 2718
c) 4068
d) none
16. Ratio of two numbers is 5:7 and their L.C.M. is 350, Find the smaller number
a) 50
b) 60
c) 70
d) none
17. A number when divided by a certain divisor leaves remainder 50 when double of that number is divided by the same divisor, the remainder is 8. Find the divisor
a) 42
b) 58
c) 92
d) none
18. Two numbers when separately divided by a certain divisor leave remainders 53 and 46 respectively. When sum of the numbers is divided by the same divisor the remainder is 34. Find the divisor.
a) 35
b) 42
c) 65
d) none
19. Two bills one of Rs.27.50 and the other of Rs.13 are to be paid in coins of the same kind. Find the largest coin that can be used.
a) 50pice
b) 25pice
c) Rs.1
d) none
20. In a school 391 boys and 323 girls have seen divided into the largest possible equal classes, so that there are equal number of boys and girls in each case. What is the number of classes?
a) 23 girl’s classes and 19 boy’s classes
b) 17boy’s classes, 23 girl’s classes
c) 23 boy’s classes and 19 girl’s classes
d) None