SSC CGL 2024-18.09.2024-3 SSC Question Paper

SSC CGL 2024-18.09.2024-3 SSC Questions

51.
Quantitative Aptitude
` Two equal circles pass through each other’s centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord?
A.
13√6cm
B.
7√3cm
C.
13√2cm
D.
13√3cm
ANSWER :
D. 13√3cm
52.
If the 9 digit number 5x79856y6 is divisible by 36, then what is the negative value of [√(2x+y)] for the largest possible value of y, gven x and y are natural numbers?
A.
-7
B.
-2
C.
-4
D.
-5
ANSWER :
D. -5
53.
Anna and Ben each have a collection of marbles. If Anna gives one marble to Ben, they will both have an equal number of marbles. Conversely, if Ben gives one marble to Anna, she will end up with three times the number of marbles that Ben has. What is the total number of marbles they both have?
A.
10
B.
8
C.
11
D.
9
ANSWER :
B. 8
54.
If A:B = 6 : 8 and B:C = 7 : 12, then A:B:C is:
A.
0.605092593
B.
0.897685185
C.
0.474768519
D.
0.895
ANSWER :
D. 0.895
55.
The value of :
A.
−8
B.
18
C.
−18
D.
8
ANSWER :
C. −18
56.
A man can row a distance of 6 km in 1 hour in still water. He can row the same distance in 45 minutes with the current. Find the total time taken by him to row a distance of 16 km with the current and to return to the starting point.
A.
4 hours and 40 minutes
B.
6 hours
C.
4 hours
D.
6 hours and 40 minutes
ANSWER :
B. 6 hours
57.
If 3a+2b=27 and 27a3+8b3=1458, then find 2ab
A.
72
B.
70
C.
77
D.
75
ANSWER :
D. 75
58.
The side MN of a parallelogram MNOP is produced to Q such that MN = NQ. PQ intersects ON at R. The point R divides ON in the ratio:
A.
0.125694444
B.
0.084027778
C.
0.043055556
D.
0.042361111
ANSWER :
D. 0.042361111
59.
The following table gives the total number of employees in 5 different companies A, B, C, D and E and the percentage of males and females. Study the table carefully and answer the question. Find the number of females in companies A, C and E put together. Copanies Total employees males % Females % A 600 75 25 B 570 65 35 C 700 70 30 D 800 55 45 E 850 60 40
A.
700
B.
675
C.
650
D.
725
ANSWER :
A. 700
60.
Simplify
A.
2y-3x
B.
3y-2x
C.
2x-3y
D.
3x-2y
ANSWER :
B. 3y-2x