Reasoning Quiz based on Computer Aptitude - 1

Hello and welcome to 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

1. C
2. B
3. B
4. C
5. 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 20, 21 , 22 and so on. Then all these are added to form decimal system.

1              0              1
So, as for 5 - #\$#, that means 101             >>           (1x20)  + (0x21) + (1x22)= 5
Same as,
ans. 1-  1010011 = (1x 20) +(1x21) +(0x22) +(0x23) +(1x24) +(0x25) +(1x26)
=1 + 2 + 0 + 0 + 16 + 0 + 64 = 83

Same as others.