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HCF and LCM Questions & Answers

Practice important H.C.F. and L.C.M questions to ensure clarity. H.C.F. and L.C.M questions and answers carry a high weightage in the examination and ought to be practiced on a regular basis.

Q11

Q11 What is the least number, which when divided by 7, 8 and 11 always gives 6 as the remainder?

A

613

B

662

C

624

D

622

Q12

Q12 What is the least number, which when divided by 7, 8 and 11 gives 6 , 7 and 10 as the remainders respectively?

A

615

B

662

C

612

D

622

Q13

Q13 5 farmers have 7,9,11,13 & 14 apple trees ,respectively in their orchards .So far each of them discovered that every tree in their orchard bore same number of apples .Further if the third farmer gives one apple to the first ,and fifth gives three to each of the second and the fourth , they would all have exactly the same number of apples .What were the yields per tree in the orchards of the third and fourth farmers ?

A

17 & 9

B

9 & 11

C

9 & 9

D

11 & 9

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