CAT QUANT NUMBER SYSTEM 3

Question 1:

How many 2 digit numbers ‘aa’ are there such that it’s square value will be ‘bbcc”’?

0

1

2

3

Question 2:

If 198 a is a prime number, find the value of a:

1

3

7

9

Question 3:

What is the sum of all the 3 digit numbers that can be formed using the digits 2,3 and 5 without repetition?

1110

2220

3330

4440

Question 4:

A confused bank teller transposed the rupees and paise when he cashed a cheque for Rita giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Rita noticed that she was left with exactly 3 times as much amount as on the cheque. Which of the following is a valid statement about the cheque amount?

Over Rupees 22 but less than Rupees 23

Over Rupees 18 but less than Rupees 19

Over Rupees 4 but less than Rupees 5

Over Rupees 13 but less than Rupees 8

Question 5:

The number of common terms in the two sequences 17,21,25,…… , 417 and 16,21,26,…..,466 is:

78

19

20

77

Question 6:

Let x<0.50 , 01. Given a set of numbers, the middle number, when are arranged in ascending order, is called the median. So the median of the numbers x, y and z would be:

less than 1

between 0 and 1

greater than 1

can’t say

Question 7:

P and Q are 2 positive integers such that PQ=64. Which of the following can’t be the value of (P+Q)?

20

65

16

35

Question 8:

How many 4 digit numbers such as ‘abbb” are there which are perfect square number?

0

1

4

5

Question 9:

Sachin writes all the numbers from 1 to 1000 on a paper in order. Find the 2883rd digit written by him.

0

9

7

8

Question 10:

x , y and z are 3 positive integers such that x>y>z. Which of the following is closest to the product xyz?

(x-1)yz

x(y-1)z

xy(z-1)

x(y+1)z