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

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

420
110
360
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of 2 numbers = product of their HCF and LCM144 * x = 12 * 5040x = (12*5040)/144 = 420

Problems on H.C.F and L.C.M
Find the largest number which divides 62,132,237 to leave the same reminder

25
30
None of these
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Trick is HCF of (237-132), (132-62), (237-62)= HCF of (70,105,175) = 35

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

35 cm
55 cm
25 cm
45 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.          495 = 3² x 5 x 11, 900 = 2² x 3² x 5², 1665 = 3² x 5 x 37.      H.C.F. = 32 x 5 = 45.          Hence, required length = 45 cm.

Problems on H.C.F and L.C.M
Let the leas number of six digits. which when divided by 4, 6, 10 and 15 leaves in each case the same remainder of 2 be N. The sum of the digits in N is

3
4
6
5

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number of four digits which is divisible by 15, 25, 40 and 75 is:

9000
9800
9400
9600

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
LCM of 87 and 145 is:

1305
875
435
48

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

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