SSC CHSL 2021-12.04.2021-2 SSC Question Paper

SSC CHSL 2021-12.04.2021-2 SSC Questions

61.
AB and AC are tangents to a circle with centre O from an external point A. The tangents AB and AC touch the circle at B and C, respectively, such that ∠BAC = 118°. Find the measure of ∠OCB.
A.
59°
B.
62°
C.
60°
D.
54°
ANSWER :
A. 59°
62.
Varun and Syan can do a work in 3 days, Syan and Anil can do it in 4 days, and Anil and Varun can do it in 6 days. How many days will Anil alone take to do the work?
A.
22
B.
18
C.
20
D.
24
ANSWER :
D. 24
63.
What is the value of sin2 60 + tan2 45 + sec2 45 - cosec2 30 ?
A.
4
B.
C.
D.
-4
ANSWER :
C. undefined
64.
Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. What is the distance (in km) between the two stations?
A.
1100
B.
1120
C.
980
D.
1200
ANSWER :
B. 1120
65.
What is the area (in m², up to 1 place of decimal) of an equilateral triangular field of sides 8.5 m?
A.
B.
18.1√3
C.
D.
72.25√3
ANSWER :
B. 18.1√3
66.
A's salary increases in the ratio 8 : 11. If his new salary is ₹33,000, then what was his original salary (in ₹)?
A.
20000
B.
18000
C.
22000
D.
24000
ANSWER :
D. 24000
67.
Students of Primary, Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750, then what would be the total amount of money collected by Secondary and Sr. Secondary classes?
A.
9675
B.
11700
C.
9450
D.
12825
ANSWER :
B. 11700
68.
The sum of two numbers is 59 and their product is 1150. Find the sum of their squares.
A.
1183
B.
1178
C.
1176
D.
1181
ANSWER :
D. 1181
69.
A shopkeeper sells two refrigerator sets at the same price. He gains 40% on one refrigerator and loses 40% on the other. What is his net loss percentage in the whole transaction?
A.
18%
B.
14%
C.
12%
D.
16%
ANSWER :
D. 16%
70.
If 2 tan x + 3 cot x = 5, then the value of 4 tan2 x + 9 cot2 x is:
A.
11
B.
15
C.
17
D.
13
ANSWER :
D. 13