LCM and HCF MCQs

The smallest number when increased by ” 1 ” is exactly divisible by 12, 18, 24, 32 and 40 is ___?

A. 1439
B. 1440
C. 1459
D. 1449

A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is __?

A. 31
B. 41
C. 51
D. 61

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is ___?

A. 1994
B. 1494
C. 1349
D. 1496

Find the least number of five digits which is exactly divisible by 12, 15 and 18?

A. 1080
B. 10080
C. 10025
D. 11080

Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?

A. 5 min
B. 5.5 min
C. 5.2 min
D. None

HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is __?

A. 36
B. 66
C. 132
D. 264

Least perfect square number, exactly divisible by 21, 36 and 56 is __?

A. 3600
B. 504
C. 441
D. 7056

In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are ___?

A. 700,400
B. 820,360
C. 800,500
D. 820,369

A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?

A. 39
B. 40
C. 37
D. 35

An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?

A. 3
B. 4
C. 5
D. 6

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