- For a two-digit number, the digit which is at the unit’s place is 1 less than twice the digit at the ten’s place. When the digits at unit’s and ten’s place are interchanged, the difference between the new and the original number is less than the original number by 20. Then, the original number is

- 47
- 23
- 35
- 59

### Answer is **a**

2. Unit digit in (264)^{102} + (264)^{103 }is

- 4
- 6
- 8
- 0

### Answer is **a**

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3. The digit in the unit’s place of [(251)^{98} + (21)^{29} – (106)^{100 }+ (705)^{35} – 16^{4 }+ 259] is

- 4
- 6
- 5
- 1

### Answer is **a**

4. If digits of a two-digit number are interchanged we get a number which is four times the original number minus 24. When the unit’s digit of the original number exceeds its ten’s digit by 7. Then the original number is

- 36
- 18
- 58
- 29

### Answer is **d**

5. There is a two digit number, the digit in the unit’s place is twice the digit in ten’s place and if 2 be subtracted from the sum of the digit, the difference is equal to ^{th}of the number. The number is

- 25
- 23
- 24
- 26

### Answer is **c**

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