1. What least number must be added to 4000 to obtain a number exactly divisible by 27 

a) 23 b) 24 c) 25 d) 26

A is the right answer. Step1 : Divide 4000 by 27 and get the reminder as 4. Step2 : Now the reminder should be subtracted from 27. So the answer is 23. And the number is 4023.

2. What least number must be subtracted to 4000 to obtain a number exactly divisible by 27 

a) 4 b) 5 c) 6 d) 4

A is the right answer. Step1 : Divide 4000 by 27 and get the reminder as 4 Step2 : Subtract 4 from 4000 So the answer is 4 and the number is 3996.

3. Find the smallest number of 5 digits which is exactly divisible by 111.

 a) 11111 b) 11001 c) 10101 d) none of the above

C is the right answer. Step1 : Smallest number of 5 digits is 10000 Step2 : On dividing 10000 by 111, the reminder is 10 Step3 : Number to be added is (111-10) = 101 So the required number is 10000+101 = 10101.

4. Find the number of terms in this progression - 2,4,8,16,...2048. 

a) 10 b) 11 c) 12 d) 13

B is the right answer. Hint : This number series is an example for geometric progression

5. A positive integer,which when added to 2000, gives a sum which is greater than when it is multiplied by 1000. The positive integer is

 a) 1 b) 2 c) 3 d) 4

A is the right answer.

6. A number when divided by 114 leaves the remainder 21. If the same number is divided by 19, then the remainder will be 

a) 4 b) 3 c) 2 d) 1

C is the right answer. Step1 : Let the number be X. Now find the relation between 114 and 19. 114 = 19*6. Step2 : (114*X)+21 = (114*X)+21 = LHS = RHS Step3 : (114*X)+21 = 19*6*X +19+2 = 19*(6X +1) + 2 Step3 : So the required reminder is 2.

7. The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is 

a) 255 b) 260 c) 265 d) 270

D is the right answer. Hint : If the smaller number is A, then the larger number is 1365+A

8. When n is divided by 4, the remainder is 3. What is the remainder when 2n is divided by 4

a) 1 b) 2 c) 3 d) 6

B is the right answer. Hint : From the first statement you can conclude that n is 3.