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      Home > Quizzes and Fun Tests > GRE Practice Tests > GRE Practice Test - Math revision- L.C.M. and H.C.F

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The GRE Practice Test - Math - L.C.M and H.C.F has been designed to test the important concepts related to l.c.m and h.c.f. The test covers important topics like finding l.c.m or h.c.f of numbers, finding prime numbers, computing the smallest and greatest numbers that are divisible by some numbers and so forth.
1. Find the L.C.M. of 36, 48, 72 and 108.
a.432
b.342
c.144
d.288
2. The H.C.F and L.C.M. of any two numbers are 2079 and 27 respectively. If one of the two number is 189, find the other number.
a.309
b.297
c.180
d.327
3. Find the greatest number that will divide 296, 492 and 1246 leaving remainders 8, 12 and 22 respectively
a.12
b.36
c.24
d.48
4. Which of the following is a pair of co-primes?
a.(32,52)
b.(16,28)
c.(18,35)
d.(21,42)
5. The L.C.M. of two number is 252 and their ratio is 6:7. Find the numbers.
a.32, 49
b.16, 25
c.36, 42
d.54, 63
6. A room is 2.47m long and 2.09m broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for floor.
a.143
b.361
c.142
d.165
7. Find the greatest number that will divide 378, 330 and 882 leaving remainders 3, 5 and 7 respectively.
a.125
b.220
c.300
d.275
8. Which smallest number must be added to 9373 so that it exactly divisible by 4?
a.3
b.2
c.5
d.7
9. Which smallest number must be added to 605329 so that it becomes divisible by 9?
a.3
b.5
c.2
d.7
10. Six bells tolling at the interval of 2, 4, 6, 8, 10, and 12 seconds respectively. In 30 minutes how many times they toll?
a.4
b.10
c.15
d.16
11. Find the L.C.M. of 6/7, 12/13, 7/15.
a.84
b.1/84
c.13
d.1/13
12. The sum and the differences of the L.C.M. and the H.C.F. of two numbers are 312 and 264, respectively. Find the numbers if their sum is 168.
a.108, 84
b.92, 84
c.72, 84
d.96, 72
13. the greatest factor of 24 is
a.56
b.20
c.12
d.36
14. what is the largest number that will divide 61, 33 and 75 leaving 5 as a remainder in each case
a.66
b.55
c.097
d.14
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