H.C.F and L.C.M MCQs

H.C.F and L.C.M MCQs

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1: Find the H.C.F. of 108, 288 and 360.

A.   30

B.   36

C.   40

D.   46

2: Find the L.C.M. of 72, 108 and 2100.

A.   39800

B.   38700

C.   36700

D.   37800

3: Find the H.C.F and L.C.M of 2/3,8/9,16/81 and 10/27

A.   2/81,80/3

B.   2/81,3/80

C.   81/2,80/3

D.   81/2,3/80

4: Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

A.   185,153

B.   195,153

C.   153,195

D.   195,143

5: The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.

A.   99

B.   95

C.   96

D.   98

6: Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.

A.   48 cm

B.   55 cm

C.   45 cm

D.   50 cm

7: Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.

A.   129

B.   136

C.   127

D.   199

8: Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

A.   36

B.   38

C.   45

D.   35

9: Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

A.   504

B.   505

C.   506

D.   508

10: Find the largest number of four digits exactly divisible by 12,15,18 and 27.

A.   9999

B.   9988

C.   9872

D.   9720

11: Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

A.   10368

B.   10876

C.   10345

D.   10234

12: Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.

A.   1394

B.   1390

C.   1400

D.   1380

13: Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

A.   1683

B.   1892

C.   1762

D.   1823

14: The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec. respectively .If they all change simultaneously at 8:20:00 hours, then at what time they again change simultaneously .

A.   8:26:12 hrs

B.   8:27:12 hrs

C.   7:12:34 hrs

D.   9:12:30 hrs

15: The L.C.M of 64 and another number P is 1216. If the H.C.F is R, the true statement is :

A.   R/P=1216/64

B.   R*P=1216/64

C.   R/P=64/1216

D.   P/R=1216/64