SSC CGL 2024-17.09.2024-3 SSC Question Paper

SSC CGL 2024-17.09.2024-3 SSC Questions

61.
In triangle ABC, D is the mid-point of BC. If DL perpendicular to AB and DM perpendicular to AC such that DL = DM, then the triangle will be:
A.
isosceles triangle
B.
right angled triangle
C.
obtuse angle triangle
D.
equilateral triangle
ANSWER :
A. isosceles triangle
62.

The marked price of a TV set is ₹18,500. If the dealer allows two successive discounts of 20% and 5%, for how much is the TV available?

A.

₹14000

B.

₹15000

C.

₹15060

D.

₹14060

ANSWER :

D. ₹14060

63.

Ajay spends \( 66\tfrac{2}{3}\% \) of his income on different household items.
If his income increases by 25% and expenditure increase by 20%, then the effect on his savings will be:

A.

28%

B.

61%

C.

49%

D.

35%

ANSWER :

D. 35%

64.
A function of two variable varies directly with x and inversely with y. Determine function when x = 5 and y = 3. Given that, for x = 0 and y = 1, f = 15 and for x = 1 and y = 15, f = 2.
A.
10
B.
2
C.
5
D.
15
ANSWER :
A. 10
65.
In how many years will ₹7,200 amount to ₹8,928 at a simple interest rate of 8% per annum?
A.
Four
B.
Three
C.
Two
D.
Five
ANSWER :
B. Three
66.

If tan(A)=\( \frac{3}{5} \) , then cos(A) is equal to?

A.

\( \frac{5}{\sqrt{34}} \)

B.

\( \frac{9}{\sqrt{34}} \)

C.

\( \frac{3}{\sqrt{34}} \)

D.

\( \frac{25}{\sqrt{34}} \)

ANSWER :

A. \( \frac{5}{\sqrt{34}} \)

67.

The below table shows the sales of motorbikes of four manufacturers from 2016-2020 (all the figures are in thousands), Study the table and answer the questions that follows.

Swipe →
Manufacturer 2016 2017 2018 2019 2020
P 220 225 235 240 260
Q 280 290 310 310 330
R 350 375 385 390 400
S 400 420 430 440 450

Find the ratio of the toal number of sales of the motorbike of the manufacturer Q to the total number of sales of the motorbikes of manufacturer S from 2016-2020. 

A.

72 : 105

B.

76 : 107

C.

74 : 103

D.

78 : 107

ANSWER :

B. 76 : 107

68.

If sinθ+cotθ=√3cosθ, then the value of cotθ is ?

A.

\( \sqrt{3} - 1 \)

B.

\(\frac{\sqrt{3} + 1}{2}\)

C.

\(\frac{\sqrt{3} - 1}{2}\)

D.

\( \sqrt{3} + 1 \)

ANSWER :

B. \(\frac{\sqrt{3} + 1}{2}\)

69.

Simplify  
\(-\frac{7}{6} + \frac{4}{9} \div \frac{5}{3} \times \frac{1}{16}\)

A.

\(-\frac{23}{20}\)

B.

\(-\frac{23}{18}\)

C.

\(-\frac{20}{23}\)

D.

\(-\frac{18}{23}\)

ANSWER :

A. \(-\frac{23}{20}\)

70.
A circular arc makes an angle of 15° at the centre. If the radius of the circular arc is 14 cm, what is the perimeter (correct up to two decimal places) of the sector so formed? (π = 3.14)?
A.
17.66 cm
B.
21.32 cm
C.
35.32 cm
D.
31.66 cm
ANSWER :
D. 31.66 cm