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



Answers:

  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.




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