SSC CGL 2024-17.09.2024-2 SSC Question Paper

SSC CGL 2024-17.09.2024-2 SSC Questions

51.
Quantitative Aptitude
Study the following table and answer the question that follows.
Expenditures of a Company (in Lakh Rupees) Per Annum over Different Heads in the Given Years The total amount of bonus paid by the company during the given period is approximately what percentage of the total amount of salary paid during this period? (Rounded off to the nearest integer.) Item of expenditure Year Salary Fuel & Transport Bonus Interest on loans Taxes 2010 310 98 3.84 23.4 83 2011 324 112 3.68 32.5 108 2012 338 101 3.00 41.6 74 2013 346 133 2.52 36.4 88 2014 410 142 3.96 49.4 98
A.
2%
B.
1.5%
C.
2.55
D.
1%
ANSWER :
D. 1%
52.
Two candidates contested in an election. 80% of the voters cast their votes, out of which 5% of the polled votes were invalid. The winning candidate got 70% of valid votes and won by a majority of 36,480 votes. Find the total number of voters.
A.
1,15,000
B.
1,20,000
C.
1,25,000
D.
1,18,000
ANSWER :
B. 1,20,000
53.
The given bar graph shows the actual production and targeted production of electric cars from 2019 to 2022. What is the ratio of the total targeted production of cars in 2021 and 2022 to the actual production of cars from 2019 to 2022 taken together?
A.
32:25
B.
25:36
C.
36:25
D.
25:32
ANSWER :
D. 25:32
54.
M and N are, respectively, the centres of two circles of radii 12 cm and 8 cm. QR is the common tangent to the circles. If MN = 16 cm, then what will be the length of QR?
A.
5√17cm
B.
4√15cm
C.
3√19cm
D.
6√8cm
ANSWER :
B. 4√15cm
55.
Simplify the following.
A.
7(13/16)
B.
7(11/16)
C.
5(13/16)
D.
5(11/16)
ANSWER :
A. 7(13/16)
56.
A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 76. What is the average score of the group?
A.
71.4
B.
68.4
C.
69.4
D.
70.4
ANSWER :
D. 70.4
57.
AB and CD are two parallel chords drawn in a circle with centre O. The distance between the two chords is 21 cm. If the lengths of AB and CD are 24 cm and 18 cm, respectively, then the radius of the circle is equal to:
A.
15 cm
B.
20 cm
C.
18 cm
D.
24 cm
ANSWER :
A. 15 cm
58.
A cistern can be filled by two pipes in 8 minutes and 10 minutes, separately. Both the pipes are opened together for a certain time, but due to an obstruction, only 5/8 of the full quantity of water flowed through the former pipe and 3/5 through the latter pipe. However, the obstruction was suddenly removed, and the cistern was filled in 3 minutes from that moment. How long did it take before the full flow began?
A.
3(1/16)minutes
B.
2(6/17)minutes
C.
9(6/7)minutes
D.
2(30/37)minutes
ANSWER :
B. 2(6/17)minutes
59.
If a = x Cos θ + y Sin θ and b= x Sin θ - y Cos θ, then a2+b2 is equal to
A.
x+y
B.
x2-y2
C.
x2+y2
D.
x-y
ANSWER :
C. x2+y2
60.
For what value of k, the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 has an infinite number of solutions?
A.
20
B.
25
C.
22
D.
15
ANSWER :
D. 15