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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

360
110
180
420

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 least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

5035
5073
5054
5016

ANSWER DOWNLOAD EXAMIANS APP

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

109
89
99
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other number = 11 X 693   = 99                              77                            

Problems on H.C.F and L.C.M
Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

95, 43
195, 143
395, 343
295, 243

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required numbers be 15.x and 11x.Then, their H.C.F. is x. So, x = 13.The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

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.

25 cm
45 cm
35 cm
55 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
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are

10, 20, 30
5, 10, 15
12, 24, 36
4, 8, 12

ANSWER DOWNLOAD EXAMIANS APP
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