SSC CGL 2022-08.12.2022-1 SSC Question Paper

SSC CGL 2022-08.12.2022-1 SSC Questions

51.
Quantitative Aptitude
If sin Y = x, then what will be the value of cos 2Y (where 0 ≤ Y ≤ 90°)?
A.
2x-1
B.
2x
C.
1 - 2x
D.
1 - 2x²
ANSWER :
D. 1 - 2x²
52.
What is the value of (a + b)² - (a - b)²?
A.
2(a³ + b³)
B.
4(a³ + b₴)
C.
8ab
D.
4ab
ANSWER :
D. 4ab
53.

The table shows number of monuments in 5 different cities.

Cities Monuments
A 40
B 30
C 120
D 150
E 50

What is the ratio of number of monuments in B to the number of monuments in D?

A.

3:1

B.

1:4

C.

5:1

D.

1:5

ANSWER :

D. 1:5

54.

The table shows the production of different types of two wheelers from 1993 to 1998.

TYPE
YEAR
1993 1994 1995 1996 1997 1998
A 36 34 40 35 37.5 40
B 20 22 25 23 19.5 18
C 14 22 16 25 29 35
D 60 62 67.5 75 76 80
E 40 45 48 50 80 105
F 45 52 55 60 57.5 56
Total 215 237 251.5 268 299.5 334

What is the percentage increase in the total production of all types of two wheelers in 1998 in comparison to 1996 (rounded off to the nearest integer)?

A.

27%

B.

25%

C.

24%

D.

26%

ANSWER :

B. 25%

55.
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
A.
42 + 7p cm
B.
21p + 14 cm
C.
42 + 14p cm
D.
7 + 14p cm
ANSWER :
C. 42 + 14p cm
56.
A dealer marks his goods at 15% above the cost price and allows a discount of 5% for cash payment. His profit percentage is:
A.
9.25%
B.
7.25%
C.
11.25%
D.
10.25%
ANSWER :
A. 9.25%
57.
What is the area of the curved surface of a right circular cone with height 8 m and slant height 10 m?
A.
60 m²
B.
60π m²
C.
40 m²
D.
40π m²
ANSWER :
B. 60π m²
58.

The given table shows production of units of different products in different months.

Product March June September December
Z 15 18 12 19
Y 18 13 17 8
X 14 17 19 16
W 12 14 11 15

Y's total production is what percentage of Z's total production?

A.

88.5%

B.

89.5%

C.

87.5%

D.

114.2%

ANSWER :

C. 87.5%

59.
In Triangle ABC, P and Q are points on AB and BC, respectively, such that PQIIAC. Given that AB = 26, PQ = 7 and AC = 10 find the value of AP
A.
7.1
B.
7.8
C.
18.2
D.
16.4
ANSWER :
B. 7.8
60.
A shopkeeper advertises for selling cloth at 7% loss. However, by using a false scale of length 1 metre he actually gains 24%. What will be the actual length he uses instead of 1 metre?
A.
75 cm
B.
31 cm
C.
76 cm
D.
93 cm
ANSWER :
A. 75 cm