SSC MTS 2021-06.10.2021-3 SSC Question Paper

SSC MTS 2021 Question Papers

SSC MTS 2021-06.10.2021-3 SSC Questions

51.
Quantitative Aptitude
If x% of 180 is 25% less than (x + 350), then 18% of (x + 50) is what percentage more than 12% of x?
A.
60
B.
75
C.
72
D.
80
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ANSWER :
D. 80
52.
The average of the 2-digit numbers 49, 6x, x4 and 70 is 65. What is the average of (x + 8) and (x + 12)?
A.
16
B.
17
C.
18
D.
19
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ANSWER :
B. 17
53.
84 persons take 56 days to complete a certain task. When one-fourth of the task was completed, one-seventh of the workers left. How many days in all does it take to complete the entire task?
A.
63
B.
60
C.
64
D.
66
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ANSWER :
A. 63
54.
The amount obtained by investing a certain sum at r% p.a. for 3 years at simple interest is equal to the simple interest on the same sum at the same rate for 13 years. The value of r is:
A.
16
B.
8
C.
12
D.
10
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ANSWER :
D. 10
55.
The value of 79 – [128 – {75 – (72 ÷ 16 × 4) + (18 ÷ 2 of 6) × 4}] is:
A.
15
B.
10
C.
14
D.
17
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ANSWER :
C. 14
56.
The average of 18 numbers is 65. The average of the first 10 numbers is 72 and that of the last 9 numbers is 58. If the 10th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?
A.
65.4
B.
66.6
C.
65.2
D.
64.6
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ANSWER :
D. 64.6
57.
The ratio of A and B is 2 : 3, and B is 8 more than A. If a certain number k is added to each of A and B, then the ratio becomes 7 : 9. The value of k is:
A.
12
B.
16
C.
10
D.
8
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ANSWER :
A. 12
58.

Pipes A and B can fill a tank in 8 hours and 12 hours, respectively. C is an outlet pipe. When all the three are opened together, the tank is filled in \(13\tfrac{1}{3}\text{ hours}\). C alone can empty the full tank in:

A.

\(6\tfrac{1}{2}\text{ hours}\)

B.

\(7\tfrac{1}{2}\text{ hours}\)

C.

8 hours

D.

6 hours

😑 View Answer Rough Work
ANSWER :

B. \(7\tfrac{1}{2}\text{ hours}\)

59.
A sum of Rs. 3,780 is divided between A, B and C such that if their shares are decreased by Rs. 130, Rs. 150 and Rs. 200, respectively, then they are in the ratio of 5 : 2 : 4. What is the original share of C?
A.
Rs. 1,430
B.
Rs. 1,400
C.
Rs. 1,330
D.
Rs. 1,350
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ANSWER :
B. Rs. 1,400
60.
The ratios of acid and water in the solutions in vessels A and B are 4 : 5 and 5 : 1, respectively. A new solution is obtained by mixing 5 litres and 4 litres of the solutions from A and B, respectively. What is the ratio of acid and water in the new solution?
A.
50:31
B.
25:16
C.
9:4
D.
15:8
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ANSWER :
A. 50:31