Number

Note: These are not sample questions, but questions that explore some of the concepts that may be used. The intention is that you should get prepared with the concepts rather than just focusing on a set of questions.

----------------------------------------------------------------------------------1. What are the total number of divisors of 600(including 1 and 600)?
a.
b.
c.
d.

24
40
16
20

2. What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a.
b.
c.
d.

2870
2000
5650
44100

3. What is∑ items? a.
b.
c.
d.

(

), where

is the number of ways of choosing k items from 28

) where

is the number of ways of choosing k items from 28

406 *
306 *
28 *
56 *

4. What is ∑ items? (

a.
b.
c.
d.

5. A call center agent has a list of 305 phone numbers of people in alphabetic order of names
(but she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a message to him. If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to Mr Sharma.
a.
b.
c.
d.

18 minutes
610 minutes
206 minutes
34 minutes

6. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the average time per call?
a.
b.
c.
d.

4 minutes
7 minutes
1 minutes
5 minutes

7. The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively.
What is the median time per call?
a.
b.
c.
d.

5 minutes
7 minutes
1 minutes
4 minutes

8. Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and her score is the square of the value shown. What is the probability that Sandra’s score will be strictly higher than Eric’s score?
a.
b.
c.
d.

137/216
17/36
173/216
5/6

9. What is the largest integer that divides all three numbers 23400,272304,205248 without