1. A boy took a seven digit number ending in 9 and raised it to an even power greater than 2000. He then took the number 17 and raised it to a power which leaves the remainder 1 when divided by 4. If he now multiplies both the numbers, what will be the unit’s digit of the number he so obtains?
Answer – 7
- The unit’s digit of the number he so obtains is 7.
1. A boy took a seven digit number ending in 9 and raised it to an even power greater than 2000. He then took the number 17 and raised it to a power which leaves the remainder 1 when divided by 4. If he now multiplies both the numbers, what will be the unit’s digit of the number he so obtains?
Answer – 7
- The unit’s digit of the number he so obtains is 7.
2. A hundred and twenty digit number is formed by writing the first x natural numbers in front of each other as 12345678910111213……. Find the remainder when this number is divided by 8.
Answer – 6
- The remainder when this number is divided by 8 is 6.
2. A hundred and twenty digit number is formed by writing the first x natural numbers in front of each other as 12345678910111213……. Find the remainder when this number is divided by 8.
Answer – 6
- The remainder when this number is divided by 8 is 6.
3. Which of the following number can be a number divisible by 24?
Answer – 13, 62, 480
- 13, 62, and 480 is divisible by 24.
3. Which of the following number can be a number divisible by 24?
Answer – 13, 62, 480
- 13, 62, and 480 is divisible by 24.
4. If A5377B is divisible by 72 then which of the following will be maximum?
Answer – 2AB
- If A5377B is divisible by 72 then 2AB will be maximum.
4. If A5377B is divisible by 72 then which of the following will be maximum?
Answer – 2AB
- If A5377B is divisible by 72 then 2AB will be maximum.
5. What is the least number which when doubled will exactly be divisible by 12, 14, 18 and 22?
Answer – 1386
- 1386 is the least number which when doubled will exactly be divisible by 12, 14, 18 and 22.
5. What is the least number which when doubled will exactly be divisible by 12, 14, 18 and 22?
Answer – 1386
- 1386 is the least number which when doubled will exactly be divisible by 12, 14, 18 and 22.
6. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Answer – 1683
- 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
6. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Answer – 1683
- 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
7. The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is:
Answer – 37
- 37 is the least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8.
7. The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is:
Answer – 37
- 37 is the least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8.
8. A number is such that when divided by 3,5,6 or 7 it leaves the remainder 1,3,4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?
Answer – 3988
- 3988 is the largest number below 4000 that satisfies this property.
8. A number is such that when divided by 3,5,6 or 7 it leaves the remainder 1,3,4 or 5 respectively. Which is the largest number below 4000 that satisfies this property?
Answer – 3988
- 3988 is the largest number below 4000 that satisfies this property.
9. The sides of a pentagonal field are 1737 meters, 2160 meters, 2358 meters, 1422 meters respectively. Find the greatest length of the tape by which the five sides may be measured completely.
Answer – 9
- The greatest length of the tape by which the five sides may be measured completely is 9.
9. The sides of a pentagonal field are 1737 meters, 2160 meters, 2358 meters, 1422 meters respectively. Find the greatest length of the tape by which the five sides may be measured completely.
Answer – 9
- The greatest length of the tape by which the five sides may be measured completely is 9.
10. If x = (163+173+183+193), then x divided by 70 leaves a remainder of:
Answer – 0
- If x = (163+173+183+193), then x divided by 70 leaves a remainder of 0.
10. If x = (163+173+183+193), then x divided by 70 leaves a remainder of:
Answer – 0
- If x = (163+173+183+193), then x divided by 70 leaves a remainder of 0.
