Professional PSAT/NMSQT Interview Questions & Answers:

1. What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?

1. 144
2. 72
3. 108
4. 216

Ans :B

2. What is the total number of different divisors of the number 7200?

1. 20
2. 4
3. 54
4. 32

Ans :C

3. How many times will the digit 0 appear between 1 and 10,000?

1. 4000
2. 4003
3. 2893
4. 3892

Ans :C

4. What is the reminder when 91 + 92 + 93 + ...... + 99 is divided by 6?

1. 0
2. 3
3. 4
4. None of these

Ans :B

5. A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?

1. 3
2. 21
3. 59
4. 68

Ans :C

6. How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25?

1. 4! - 3!
2. 4
3. 8
4. 6

Ans :B

7. What is the total number of different divisors including 1 and the number that can divide the number 6400?

1. 24
2. 27
3. 54
4. 68

Ans :B

8. What is the highest power of 7 in 5000!? (5000! means factorial 5000)

1. 4998
2. 714
3. 832
4. 816

Ans :C

9. The largest number amongst the following that will perfectly divide 101100 - 1 is

1. 100
2. 10000
3. 100100
4. 100000

Ans : 2

10. Solve the inequality 33x-2 > 1

1. x > 1
2. x > 3
3. x > 2/3
4. x > 1/3

Ans :C