SSC CGL 2023-18.07.2023-3 SSC Question Paper

SSC CGL 2023 Question Papers

SSC CGL 2023-18.07.2023-3 SSC Questions

51.

Quantitative Aptitude
A alone can finish a work in 15 days. A works only for the first two days and last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?

A.

 \( \frac{90}{8} \)

B.

 \( \frac{80}{9} \)

C.

 \( \frac{80}{7} \)

D.

 \( \frac{70}{8} \)

😑 View Answer Rough Work
ANSWER :

B.  \( \frac{80}{9} \)

52.

If \(
\left( x + \frac{1}{x} \right) = 5, \quad \text{and } x > 1,
\)  then what is the value of \(
\left( x^8 - \frac{1}{x^8} \right)
\)

A.

60615\(\sqrt{21}\)

B.

60725\(\sqrt{21}\)

C.

60605\(\sqrt{21}\)

D.

60705\(\sqrt{21}\)

😑 View Answer Rough Work
ANSWER :

C. 60605\(\sqrt{21}\)

53.
By selling a watch for ₹2,000, a shopkeeper loses 20%. How much would he gain or lose by selling it for ₹3,000?
A.
25% gain
B.
15% loss
C.
25% loss
D.
20% gain
😑 View Answer Rough Work
ANSWER :
D. 20% gain
54.
Find the value of the following expression.
12 (sin⁴θ + cos⁴θ) + 18 (sin⁶θ + cos⁶θ) + 78sin²θ cos²θ
A.
10
B.
40
C.
30
D.
20
😑 View Answer Rough Work
ANSWER :
C. 30
55.
Which of the following is a FALSE statement?
A.
cos A × sec A = 1
B.
cosec²A − 1 = cot²A
C.
sin A = tan A × cos A
D.
tan²A = 1 − sec²A
😑 View Answer Rough Work
ANSWER :
D. tan²A = 1 − sec²A
56.
The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. Find the positive difference between the squares of these two given numbers.
A.
360
B.
630
C.
540
D.
450
😑 View Answer Rough Work
ANSWER :
C. 540
57.
A conical tent with radius 6 units and height 8 units is to be made by canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
A.
166.57 units
B.
188.57 units
C.
177.55 units
D.
155.87 units
😑 View Answer Rough Work
ANSWER :
B. 188.57 units
58.
In how many years will a sum of ₹9,500 amount to ₹11,780 at the rate of 8% per annum at simple interest?
A.
2
B.
4
C.
3
D.
5
😑 View Answer Rough Work
ANSWER :
C. 3
59.
If Sin(5x - 25°) = Cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles, then the value of (x+y) is
A.
50°
B.
40°
C.
18°
D.
16°
😑 View Answer Rough Work
ANSWER :
C. 18°
60.
If in △XYZ, XY = 4 and XZ = 5 cm, and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:
A.
5:4
B.
2:3
C.
3:2
D.
4:5
😑 View Answer Rough Work
ANSWER :
D. 4:5