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**exampundit**. Here is a set of Reasoning Quiz based on Computer Aptitude for Upcoming Mains Exams.

In a number system there are only two
symbols to represent numbers i.e. $ and #.

$ represents 0

# represents 1.

And the subsequent numbers are represented
by –

#$ 2

## 3

#$$ 4

#$# 5

Based on this pattern, answer the following
question.

Q.1 Which number is represented by ‘#$#$$##’?

a) (9)^2

b) 93

c) 10 x 9 – 7

d) (3)^4 + 6

e) none of these

Q.2 What will be the sum of ‘###$$#’ and ‘##$#$##’?

a) 161

b) 20 x 8 + 2 x 2

c) (9)^2 + (5)^2 – (3)^2

d) 93

e) none of these

Q.3 Which will you represent 115 ?

a) ##$###

b) $###$$##

c) $##$$$#

d) #$##$$##

e) none of these

Q.4 What will be the twice of ‘#$$$##$’?

a) ##$$#$#$#

b) $$###$#$

c) #$$$##$$

d) ##$$$##$$

e) none of these

Q.5 What will be the value after
multiplication of ‘##$$#’ and ‘$$#$#’ ?

a) $#####$#

b) $##$##$#

c) ##$$$##$

d) #$##$$###

e) none of these

Answers:

- C
- B
- B
- C
- A

Explanations:

Explanation-

This is a system of binary & decimal
no. converter -

0 – 0 - $

1 – 1 - #

2 – 10 - #$

3 – 11 - ##

4 – 100 - #$$

5 – 101 - #$#

Starting from the right side, each digit is
multiplied with power of 2 (starting with 2

^{0},^{ }2^{1}, 2^{2}and so on. Then all these are added to form decimal system.
1 0 1

So, as for 5 - #$#, that means 101 >> (1x2

^{0})^{ }+ (0x2^{1}) + (1x2^{2})= 5
Same as,

ans. 1-
1010011 = (1x 2

^{0}) +(1x2^{1}) +(0x2^{2}) +(0x2^{3}) +(1x2^{4}) +(0x2^{5}) +(1x2^{6})
=1 + 2 + 0 + 0 + 16 + 0 + 64 = 83

Same as others.

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