SSC CGL 2021-11.04.2022-3 SSC Question Paper

SSC CGL 2021 Question Papers

SSC CGL 2021-11.04.2022-3 SSC Questions

61.
If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q)
A.
140
B.
126
C.
90
D.
104
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ANSWER :
A. 140
62.

A sum of money was borrowed and paid back in two equal annual instalments of Rs.980, allowing 4% compound interest. The sum (in ₹, to the nearest tens) borrowed was:

A.

1,850

B.

1,960

C.

1,760

D.

2,050

😑 View Answer Rough Work
ANSWER :

A. 1,850

63.
Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42°. ∠PQT (in degrees) is:
A.
48
B.
45
C.
42
D.
60
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ANSWER :
A. 48
64.

If sec A = \(\dfrac{17}{8}\) given that A < 90°, what is the value of the following?
\[ \frac{34 \sin A + 15 \cot A}{68 \cos A - 16 \tan A} \]

A.

23

B.

19

C.

30

D.

38

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ANSWER :

B. 19

65.
AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB, such that ∠CAB = 42° and ∠ABD = 57°. What is difference (in degrees) between the measures of ∠CAD and ∠CBD?
A.
105 and 75
B.
75 and 105
C.
81 and 99
D.
99 and 81
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ANSWER :
B. 75 and 105
66.
If a² + b² + c² = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?
A.
±2.7
B.
-2.7
C.
-2.8
D.
±2.8
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ANSWER :
B. -2.7
67.
What is the greatest number by which when 156, 181 and 331 are divided, the remainder is 6 in each case?
A.
26
B.
17
C.
25
D.
13
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ANSWER :
C. 25
68.
A can finish a piece of work in 48 days and B can finish it in 60 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?
A.
6 days 4 hours
B.
8 days 8 hours
C.
6 days 6 hours
D.
8 days 6 hours
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ANSWER :
D. 8 days 6 hours
69.

The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400 in academic years 2019 and 2020 respectively.
What is the percentage increase or decrease in the number of students of Engineering in 2020 as compared to 2019?
(correct to two decimal places)

A.

10.55%

B.

11.77%

C.

10.77%

D.

10.25%

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ANSWER :

C. 10.77%

70.

A 35 cm high bucket in the form of a frustum is full of water. Radii of its lower and upper ends are 12 cm and 18 cm respectively. If water from this bucket is poured in a cylindrical drum, whose base radius is 20 cm, then what will be the height of water (in cm) in the drum?

A.

16.25

B.

18.25

C.

19.95

D.

20.50

😑 View Answer Rough Work
ANSWER :

C. 19.95