SSC CGL 2024-18.09.2024-2 SSC Question Paper

SSC CGL 2024-18.09.2024-2 SSC Questions

51.
Quantitative Aptitude
On a circle of radius 7 units, PQ and QR are chords of length 7 units each. What is the length of the chord PR in units?
A.
28/√3
B.
7/√3
C.
14/√3
D.
21/√3
ANSWER :
D. 21/√3
52.
In a circular race of 4800m, A and B start from the same point and at the same time with speeds of 36 km/h and 54 km/h.
When will they meet again for the first time on the track if they are running in the opposite direction?
A.
200 second
B.
205 second
C.
178 second
D.
192 second
ANSWER :
D. 192 second
53.
Refer the table and answer the question.
What percentage of students who chose medical are boys? Discipline Boys Girls Engineering 120 80 Medical 80 120
A.
30%
B.
50%
C.
40%
D.
45%
ANSWER :
C. 40%
54.
The average weight of 10 students is increased by half a kg when one of the students weighing 51 kg is replaced by a new student. Find the weight of the new student.
A.
56 kg
B.
75 kg
C.
45 kg
D.
66 kg
ANSWER :
A. 56 kg
55.
Pipes A and B can fill a tank in 6 hours and 8 hours, respectively. Both pipes are opened together for 3 hours. After that pipe A is closed, and B continues to fill the tank. In how many hours will the tank be filled?
A.
2
B.
4
C.
3
D.
6
ANSWER :
B. 4
56.
Find the gain %, given that Siddhi sold her scooter for Rs.71,785 gaining 1/5th of the selling price.
A.
20%
B.
25%
C.
10%
D.
15%
ANSWER :
B. 25%
57.
Find the value of
A.
Cos35°
B.
1
C.
Sec55°
D.
0
ANSWER :
B. 1
58.
From the given data, find the ratio of the cost prices of a shirt and a trouser. Item Selling Price Profit Shirt 1200 20% Trouser 660 10%
A.
2:1
B.
1:3
C.
3:4
D.
5:3
ANSWER :
D. 5:3
59.
The mean proportional of 4a2 and x is 1/5a, where a is a positive number, then the value of x is ?
A.
1/100a4
B.
1/100a2
C.
1/25a2
D.
1/25a4
ANSWER :
A. 1/100a4
60.
After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%, what is the value of the second discount?
A.
21%
B.
18%
C.
20%
D.
22%
ANSWER :
C. 20%