SSC CGL 2024-11.09.2024-1 SSC Question Paper

SSC CGL 2024 Question Papers

SSC CGL 2024-11.09.2024-1 SSC Questions

61.
If asin3 X + bcos3 X = sinXcosX and asinX = bcosX, then find the value of a2 + b2, provided that x is neither 0° nor 90°.
A.
0
B.
1
C.
a² - b²
D.
a² + b²
😑 View Answer Rough Work
ANSWER :
B. 1
62.
A dishonest merchant sells his grocery using weights that are 12% less than the true weights and makes a profit of 10%. Find his total gain percentage.
A.
10%
B.
20%
C.
15%
D.
25%
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ANSWER :
D. 25%
63.
Atul gives Vishu a head-start of 20 seconds in a 900 m race and beats him by 135 m. While running the same race again Atul gives a start of 189 m and beats him by 8 seconds. In how much time can Vishu complete the full race of 900 m?
A.
3 minutes 30 seconds
B.
2 minutes 50 seconds
C.
3 minutes 20 seconds
D.
3 minutes 10 seconds
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ANSWER :
C. 3 minutes 20 seconds
64.
The following pie chart shows the distribution of the percentage of students in various courses at the university. The total number of students (boys and girls only) in the university is 7000. In B.Com, there are 60% girls and in B.Sc. C.Sci, there are 40% boys. The total number of girls who took admission in B.Sc C.Sci and B.Com courses is what percentage of the total students admitted to the university?
A.
25%
B.
29%
C.
23%
D.
27%
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ANSWER :
D. 27%
65.
In a division problem, the divisor is 4 times the quotient and 2 times the remainder. If the remainder is 32, then find the dividend.
A.
1056
B.
1650
C.
3240
D.
1065
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ANSWER :
A. 1056
66.
The interest accrued on a sum of ₹16,000 lent at a simple interest rate of 14% p.a. for the time in those many years, which gives a simple interest of three-fifths of a certain sum at 10% p.a., is:
A.
13440
B.
12970
C.
15360
D.
14280
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ANSWER :
A. 13440
67.
A group of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 62. What is the average score of the group?
A.
62
B.
63
C.
60
D.
61
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ANSWER :
A. 62
68.
In a rhombus ABCD, O is any interior point such that OA = OC. What is five-ninths of the degree measure of ∠DOB?
A.
120°
B.
150°
C.
100°
D.
90°
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ANSWER :
C. 100°
69.
The bar graph below shows the production of coffee (in lakh tons) by four companies A, B, C and D over a period of four years from 2010 to 2013. Study the graph and answer the question that follows. The combined average production for four years of companies A and C is what percentage (rounded off to 2 decimal places) more/less than the combined average production for four years of companies B and D?
A.
Less, 7.81%
B.
More, 10.51%
C.
More, 7.81%
D.
Less, 10.51%
😑 View Answer Rough Work
ANSWER :
A. Less, 7.81%
70.
Solve the given set of three equations to get the value of the unknowns:
x + 2z = 3
x + 2y + 3z = 5
3x - 5z = -13
A.
x = 0,y = -1,z = 2
B.
x = -1,y = 0,z = 2
C.
x = -1,y = 2,z = 0
D.
x = 2,y = 0,z = -1
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ANSWER :
B. x = -1,y = 0,z = 2