CDS Exam (I)- 2020 - Elementary Mathematics Defence Question Paper

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CDS Exam (I)- 2020 - Elementary Mathematics

CDS Exam (I)- 2020 - Elementary Mathematics Defence Questions

31.
Students of a class are made to sit in rows of equal number of chairs. If number of students is increased by 2 in each row, then the number of rows decreases by 3. If number of students is increased by 4 in each row, then the number of rows decreases by 5. What is the number of students in the class?
A.
100
B.
105
C.
110
D.
120
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ANSWER :
D. 120
32.
A sum was put at simple interest at certain rate for 2 years. Had it been put at 1% higher rate of interest, it would have fetched ₹24 more. What is the sum?
A.
₹500
B.
₹600
C.
₹800
D.
₹1200
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ANSWER :
D. ₹1200
33.
The population of two villages is 1525 and 2600 respectively. If the ratio of male to female population in the first village is 27 : 34 and the ratio of male to female population in the second village is 6 : 7, then what is the ratio of male to female population of these two villages taken together?
A.
\( \frac{33}{41} \)
B.
\( \frac{85}{82} \)
C.
\( \frac{71}{90} \)
D.
\( \frac{5}{6} \)
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ANSWER :
D. \( \frac{5}{6} \)
34.
In a class room the ratio of number of girls to that of boys is 3 : 4. The average height of students in the class is 4.6 feet. If the average height of the boys in the class is 4.8 feet, then what is the average height of the girls in the class?
A.
Less than 4.2 feet
B.
More than 4.2 feet but less than 4.3 feet
C.
More than 4.3 feet but less than 4.4 feet
D.
More than 4.4 feet but less than 4.5 feet
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ANSWER :
C. More than 4.3 feet but less than 4.4 feet
35.
What is the median of the data 3, 5, 9, 4, 6, 11, 18?
A.
6
B.
6.5
C.
7
D.
7.5
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ANSWER :
A. 6
36.
In a pi-diagram there are three sectors. If the ratio of the angles of the sectors is 1 : 2 : 3, then what is the angle of the largest sector?
A.
\( 200^{\circ} \)
B.
\( 180^{\circ} \)
C.
\( 150^{\circ} \)
D.
\( 120^{\circ} \)
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ANSWER :
B. \( 180^{\circ} \)
37.
The maximum marks in a Test are converted from 250 to 50 for the purpose of an Internal Assessment. The highest marks scored were 170 and lowest marks were 70. What is the difference between the maximum and minimum marks scored in the Internal Assessment?
A.
15
B.
17
C.
20
D.
24
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ANSWER :
C. 20
38.

Directions (Next 3 Questions): Read the following information and answer the three items that follow:
The following data presents count of released convicts who have served prison terms (X), those who have received some educational or technical training during their term (Y) and those who were offered Company placement (Z) respectively, from six different jails A, B, C, D, E and F, in the year 2010.

  X Y Z
A 86 45 25
B 1305 903 461
C 2019 940 474
D 1166 869 416
E 954 544 254
F 1198 464 174



Jails with highest and smallest percentage of trained convicts are respectively

A.

F and D

B.

D and F

C.

C and A

D.

D and A

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ANSWER :

B. D and F

39.
Jail with highest placement rate of trained convicts is
A.
F
B.
D
C.
B
D.
A
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ANSWER :
D. A
40.
Jails from which more than half of the trained convicts are offered jobs, are
A.
A, B and C
B.
A, B and D
C.
A, D and E
D.
A, E and F
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ANSWER :
A. A, B and C
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