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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

45 cm
25 cm
35 cm
55 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

Problems on H.C.F and L.C.M
Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

505
707
606
404

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

  3 |  6 - 7  - 8  - 9 - 12-----------------------------  4 | 2  - 7  - 8  - 3 - 4  ---------------------------   2 | 2  - 7  - 2  - 3 - 1 --------------------------     | 1  - 7  - 1  - 3 - 1 L.C.M = 3 X 2 X 2 X 7 X 2 X 3 = 504.Hence required number = (504 +1) = 505   

Problems on H.C.F and L.C.M
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.

1494
1394
1194
1294

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here,(20-14) = 6,(25 – 19)=6,(35-29)=6 and (40-34)=6.    Required number = (L.C.M. of 20,25,35,40) – 6 =1394.

Problems on H.C.F and L.C.M
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:

90
46
70
10

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

276
345
322
299

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, the numbers are (23 x 13) and (23 x 14). Larger number = (23 x 14) = 322.

Problems on H.C.F and L.C.M
The H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is

1260
360
540
180

ANSWER DOWNLOAD EXAMIANS APP
MORE MCQ ON Problems on H.C.F and L.C.M

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