Problems on L.C.M and H.C.F - Data Intensity 1 Multiple Questions and Answers.




6.A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
A. 7203
B. 2403
C. 3603
D. 4803

7.Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
A. 9654
B. 9666
C. 9664
D. 9864

8.Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
A. 420
B. 515
C. 435
D. 518

9.What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
A. 78
B. 68
C. 58
D. None

10.The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
A. 1 min
B. 2 min
C. 3 min
D. None

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