CDS Exam (II)- 2019 - Elementary Mathematics Defence Question Paper

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CDS Exam (II)- 2019 - Elementary Mathematics

CDS Exam (II)- 2019 - Elementary Mathematics Defence Questions

1.

Directions (Next 2 Questions): Read the following frequency distribution for two series of observations and answer the two items that follow:

Class interval Frequency
Series-I Series-II
10-20 20 4
20-30 15 8
30-40 10 4
40-50 x 2x
50-60 y y
Total 100 100



What is the mean of frequency distribution of Series-I?

A.

33.6

B.

35.6

C.

37.6

D.

39.6

ANSWER :

C. 37.6

2.
What is the mode of the frequency distribution of Series-II?
A.
26
B.
36
C.
46
D.
56
ANSWER :
C. 46
3.

Directions (Next 4 Questions): Read the following information and answer the four items that follow:

Let the distribution of number of scooters of companies X and Y sold by 5 showrooms (A, B, C, D and E) in a certain year be denoted by S1 and the distribution of number of scooters of only company X sold by the five showrooms in the same year be denoted by S2.

Showroom A B C D E Total number of scooters sold
S1 (in %) 19 21 15 33 12 6400
S2 (in %) 24 18 20 30 8 3000


Number of scooters of company Y sold by showroom E is what per cent of the number of scooters of both companies sold by showroom C?

A.

52

B.

54

C.

55

D.

56

ANSWER :

C. 55

4.
Number of scooters of both the companies sold by showroom B is what per cent more than the number of scooters of company X sold by showroom A?
A.
\( 78\frac{1}{3} \)
B.
\( 83\frac{1}{3} \)
C.
\( 86\frac{2}{3} \)
D.
\( 88\frac{1}{3} \)
ANSWER :
C. \( 86\frac{2}{3} \)
5.
What is the average number of scooters of company Y sold by the showrooms A, C and E?
A.
\( 461\frac{1}{3} \)
B.
\( 431\frac{1}{3} \)
C.
\( 426\frac{1}{3} \)
D.
\( 416\frac{1}{3} \)
ANSWER :
A. \( 461\frac{1}{3} \)
6.
What is the difference between the number of scooters of both companies sold by showroom A and total number of scooters of company X sold by showrooms B and E together?
A.
416
B.
426
C.
432
D.
436
ANSWER :
D. 436
7.

Directions (Next 4 Questions): Read the following information and answer the four items that follow:
The data shows that Indian roads are turning deadlier over the years.

Year 2014 2015 2016 2017
Number of bikers killed 40957 46070 52750 48746
Number of pedestrians killed 12330 13894 15746 20457
Number of cyclists killed 4037 3125 2585 3559


What was the average number of pedestrians killed per day in the year 2017?

A.

51

B.

53

C.

54

D.

56

ANSWER :

D. 56

8.
What is the approximate percentage change in the pedestrians' fatalities during the period 2014-17?
A.
66%
B.
68%
C.
71%
D.
76%
ANSWER :
A. 66%
9.
What is the average number of bikers killed daily in road accidents in the year 2017?
A.
163
B.
152
C.
147
D.
134
ANSWER :
D. 134
10.
What is the average number of cyclists killed daily in road accidents in 2017?
A.
10
B.
12
C.
19
D.
21
ANSWER :
A. 10