SOLVED PAPER 2022 (CDS) (I) (Elementary Mathematics)

Total Questions: 100

91. (Question 91 and 92) Consider the following data for the questions that follow.

Correct Answer: (c) 15
Solution:

92. If the ratio of taxpayers to other persons in the same age group below 30 year is 1 : 2, then what is the number of taxpayers (in lakhs) in that age group?

Correct Answer: (b) 0.7
Solution:Total taxpayers of the age group
below 30 yr = 14%
Percentage of person below the age
of 40 year = 14 + 29.75 + 26.25 = 70%

According to the question,
70% of total people = 10.5
1% of 15 lakhs = 15 thousand
So, the total taxpayers in the age
group below 30 yr in 14%.

⇒ 14 × 15000 = 210000
Since, ratio of taxpayers and
non-taxpayers in this group
= 1 : 2.

⇒ Number of taxpayers
= 2.1 × (⅓) = 0.7
Total number of taxpayers in
that age group is 0.7 (in lakhs)

93. (Questions 93 and 94) Consider the following data for the questions that follow.

The expenditure (in lakhs of rupees) of a company for the years 2011 to 2017 is as under.

YearExpenditure
201113.8
201215.4
201310.4
201413.1
201515.8
201617.2
201719.4

How many times the increase in expenditure in a year exceeded by more than 15% as compared to previous year?

Correct Answer: (a) 2
Solution:
∴ 2 times the increase in expenditure
in a year exceeded by more than 15%
as compared to the previous year.

94. In which year, the percentage increase in expenditure is maximum as compared to its previous year?

Correct Answer: (b) 2014
Solution:Clearly, we can see during 2014,
% increase = 25.9 - (-32.4)
% increase = 58.3%
During 2014 percentage increase
is maximum as compared to the
previous year.

95. (Questions 95 and 96) Consider the following data for the questions that follow.

The budget allocations represented in a pie diagram under five different heads A, B, C, D and E are respectively 40%, 18%, 9%, 25% and 8%. The total budget allocation is ₹ 300.4 lakhs.

How much less amount is allocated to A and C together as compared to B, D and E together?

Correct Answer: (c) ₹6.008 lakhs
Solution:Given, the total budget
allocated is 300.4 lakhs.
The budget allocated to A, B, C, D
and E are respectively 40%, 18%,
9%, 25% and 8%

The total allocated amount of A and C
⇒ 120.16b + 27.036 = 147.196
The total allocated amount of
B, D and E,
= 54.072 + 75.1 + 24.032 = 153.204
Subtract total amount of A and C
from total amount of B, D and E
⇒ 153.204 - 147.196 = ₹6.008

96. How much amount will be increased on A if the total budget is increased by three times?

Correct Answer: (c) ₹240.32 lakhs
Solution:Given, the total budget allocation
is ₹300.4 lakhs.
The total budget is increased
by three times.
= 3 × 300.4 = ₹901.2
Increment in total budget allocation
= 901.2-300.4
= 600.8
The amount spent on A = 40% of the
total budget
= 40% × 600.8
= (⁴⁰⁄₁₀₀) × 600.8 = ₹240.32

97. (Questions 97-100) Consider the following data for the questions that follow.

500 candidates appeared in an examination comprising tests in English, Hindi and Mathematics. 30 candidates failed in English only; 75 failed in Hindi only; 50 failed in Mathematics only; 15 failed in both English and Hindi; 17 failed in both Hindi and Mathematics; 17 failed in both Mathematics and English; 5 failed in all three tests.

What is the percentage of candidates who failed in at least two subjects?

Correct Answer: (d) 7.8%
Solution:According to the given
information,

Candidates failed in at least 2 subjects
= Candidates failed in 2 subjects +
Candidates failed in 3 subjects.

Candidates failed in only English and
Mathematics = 12
Candidates failed in only English and
Hindi = 10
Candidates failed in only Hindi and
Mathematics = 12

Candidates failed in at least 2 subjects
= 12 + 10 + 12 + 5 = 39

∵ Percentage of candidates who failed
in at least two subjects
= (³⁹⁄₅₀₀) × 100 = 7.8%

98. What is the percentage of candidates who failed in only one subject?

Correct Answer: (b) 31%
Solution:Percentage of candidate who
failed in only one subject
(30 + 75 + 50)
(¹⁵⁵⁄₅₀₀) × 100 = 31%

99. What is the percentage of candidates who failed in at least one subject?

Correct Answer: (b) 38.8%
Solution:Candidates who failed in at least
one subject
= Candidates failed in 1 subject
+ 2 subject + 3 subject
= 155 +34 + 5
= 194
∴ Required percent = (¹⁹⁴⁄₅₀₀) × 100
= 38.8%

100. How many candidates passed in two or more subjects?

Correct Answer: (a) 461
Solution:Candidates passed in two or
more subjects = 500 - 39
= 461