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H.C.F. & L.C.M.

1.

Rajesh had to arrange his books in uniform groups. He makes groups of 4 books each. But 3 books are left. He tries it with groups of 5 books each. But still 3 books are left. 3 books are still left when he tried with groups of 9 or 10 books each. How many books does he have? 

Answer: D

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2.

What is HCF of  36/75, 48/150 , 72/135? 

Answer: A

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3.

 3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively. Since they start together, when will they meet again at the starting position? 

Answer: A

We need the instance which means the LCM of times of all 3 birds.

Therefore, LCM = 9 X 3 X 5 X 7 = 945 = 945 minutes

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4.

 The L.C.M. of two numbers is 14560 and their H.C.F. is 13. If one of them is 416, the other is 

Answer: B

416 X number = 14560 X 13

Therefore, numbr is 455

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5.

The sum and HCF of two numbers are 156 and 13. The numbers of such number pairs is 

Answer: A

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