## 1. Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.

## 2. Find the remainder when 67^{99} is divided by 7.

^{99}is divided by 7.

## 3. Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

## 4. Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:

## 5. What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?

## 6. Find the least number which will leaves remainder 5 when divided by 8, 12, 16 and 20.

## 7. 7^{6n}- 6^{6n}, where n is an integer >0, is divisible by

^{6n}- 6

^{6n}, where n is an integer >0, is divisible by

## 8. After the division of a number successively by 3, 4 and 7, the remainder obtained is 2, 1 and 4 respectively. What will be remainder if 84 divide the same number?

## 9. Find the remainder when 2^{256} is divided by 17.

^{256}is divided by 17.

## 10. Find the remainder when 4^{96} is divided by 6.

^{96}is divided by 6.

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