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​Find the smallest number that should be added to 166, so that the sum leaves a remainder of 3 on dividing by each of 4, 6, 9 and 15. ​
Question

Find the smallest number that should be added to 166, so that the sum leaves a remainder of 3 on dividing by each of 4, 6, 9 and 15.

A.

13

B.

16

C.

17

D.

163

Correct option is C

Given:

The smallest number which should be added to 166 the leaves a reminder  3 when  divisible by 4, 6, 9 and 15.

Concept used:

Use the LCM(Least Common Multiple) method

Calculation:

According to the question,

LCM of (4 , 6, 9 and 15) = 180 

Smallest number which divide by 4 , 6 , 9 and 15 leaves same remainder 3 = 180 + 3 = 183 

Number which is added in 166 = 183 - 166 = 17 

                                ​

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