SSC CGL 2024-24.09.2024-3 SSC Question Paper

SSC CGL 2024-24.09.2024-3 SSC Questions

51.
Quantitative Aptitude
` Ramu lent ₹3,000 to Raju and a certain sum to Ravi at the same time and at the same rate of simple interest of 8% per annum. After 5 years, he received a sum of ₹1,600 from Raju and Ravi together as interest. Find the sum lent to Ravi.
A.
₹1000
B.
₹1250
C.
₹1200
D.
₹1500
ANSWER :
A. ₹1000
52.
If two straight lines are coinciding with each other, then the number of points of intersection is/are:
A.
infinitely many points of intersection
B.
finite number of point of intersection
C.
no points of intersection
D.
unique point of intersection
ANSWER :
A. infinitely many points of intersection
53.
Simplify
A.
cos(θ/2)
B.
sin(θ/2)
C.
cot(θ/2)
D.
tan(θ/2)
ANSWER :
D. tan(θ/2)
54.
Refer the table and answer.
Jewellery was what % of the total exports? (rounded to 2 decimal places) India's exports in 2020 Value in USD Millions Elextronics 720 Cotton 680 Jewellery 500 Steel 450 Software 850
A.
14.63%
B.
15.63%
C.
15.78%
D.
14.34%
ANSWER :
B. 15.63%
55.
One year ago, the age of B was twice that of A. After 9 years, if the ratio of the ages of B and A would be 4 ∶ 3, then the sum of their present ages is _____ years.
A.
30
B.
15
C.
17
D.
21
ANSWER :
C. 17
56.
Find the gain percentage, given that Aditi sold her scooter for Rs.25,404 gaining 1/6th of the selling price.
A.
25%
B.
30%
C.
20%
D.
40%
ANSWER :
C. 20%
57.
Study the given pie chart carefully and answer the question that follows.
The given pie chart depicts the expenditure incurred towards different hobby classes of an institute.
If the total expenditure is ₹10,70,000, then find the central angle of the sector representing ‘drawing’.
A.
19°
B.
90°
C.
68.4°
D.
70°
ANSWER :
C. 68.4°
58.
IF 10Sin2θ+6Cos2θ=7, 0<θ<90°, then find the value of tanθ
A.
√3
B.
1
C.
1/√3
D.
1/2
ANSWER :
C. 1/√3
59.
The ratio of the length, the breadth, and the height of a solid cuboid is given as 3 : 2 : 1, and the breadth of this cuboid is given as 12 cm. Find the volume (in cm³) of the cuboid.
A.
1250
B.
1296
C.
1200
D.
1500
ANSWER :
B. 1296
60.
The angles of a triangle are in the ratio 1 : 2 : 3. The difference in the largest and smallest angle is (in degrees):
A.
60
B.
15
C.
45
D.
30
ANSWER :
A. 60