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      Home > Quizzes and Fun Tests > GRE Practice Tests > QuizMoz - Free GRE Practice Test - Math - 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. What is the smallest number which is exactly divisible by 24, 12, 60 and 56?
a.420
b.840
c.1200
d.780
2. Find the least digit number which when divided by 72, 96, and 128 leaves the remainder 50, 74 and 106 respectively.
a.1130
b.1152
c.1080
d.1522
3. Find the greatest number which will divide 515 and 11667 so as to leave the remainder 5 in each case.
a.51
b.34
c.39
d.65
4. In a school, distribute the 3003 pens and 2730 copies among the maximum number of students in such a way that each student get the same number of pens and copies:
a.91
b.182
c.143
d.173
5. The H.C.F. of two numbers is 210 and their ratio is 15:22. Find the numbers?
a.3150, 4620
b.2250, 3890
c.1820, 2600
d.4500, 2150
6. There are three iron pipes length of 77m, 91m and 119m have to be divided into pieces of same length. What is the greatest possible length of each piece?
a.11m
b.13m
c.17m
d.7m
7. Find the greatest number that will exactly divide 1215 and 2025.
a.360
b.405
c.375
d.480
8. What is the smallest number which is exactly divisible by 18, 54, 90 and 189?
a.3560
b.3780
c.4200
d.4520
9. Find the greatest number of four digits which is exactly divisible by each of 12, 18, 40 and 45.
a.9550
b.9720
c.8500
d.8650
10. Which of the following pairs of numbers is not co-prime?
a.15, 98
b.198, 429
c.847, 2160
11. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively. If one of the numbers is 144, find the other number?
a.420
b.425
c.465
d.412
12. The H.C.F. of two numbers of  3 digits is 310 and their L.C.M. is 1860. Find the numbers?
a.310, 1860
b.620, 930
c.620, 310
d.930, 310
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