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 #.
symbols to represent numbers i.e. $ and #.
$ represents 0
# represents 1.
And the subsequent numbers are represented
by –
by –
#$ 2
## 3
#$$ 4
#$# 5
Based on this pattern, answer the following
question.
question.
Q.1 Which number is represented by ‘#$#$$##’?
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 ‘$$#$#’ ?
multiplication of ‘##$$#’ and ‘$$#$#’ ?
a) $#####$#
b) $##$##$#
c) ##$$$##$
d) #$##$$###
e) none of these
Answers:
- C
- B
- B
- C
- A
Explanations:
Explanation-
This is a system of binary & decimal
no. converter –
no. converter –
0 – 0 – $
1 – 1 – #
2 – 10 – #$
3 – 11 – ##
4 – 100 – #$$
5 – 101 – #$#
Starting from the right side, each digit is
multiplied with power of 2 (starting with 20, 21
, 22 and so on. Then all these are added to form decimal system.
multiplied with power of 2 (starting with 20, 21
, 22 and so on. Then all these are added to form decimal system.
1 0 1
So, as for 5 – #$#, that means 101 >> (1×20)
+ (0x21) + (1×22)= 5
+ (0x21) + (1×22)= 5
Same as,
ans. 1-
1010011 = (1x 20) +(1×21) +(0x22) +(0x23)
+(1×24) +(0x25) +(1×26)
1010011 = (1x 20) +(1×21) +(0x22) +(0x23)
+(1×24) +(0x25) +(1×26)
=1 + 2 + 0 + 0 + 16 + 0 + 64 = 83
Same as others.
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