Ratio and Proportion & Mixture and Allegation SSC MTS Questions

Ratio and Proportion & Mixture and Allegation MCQ Questions

7.
A vessel contains liquid A and B in the ratio 4:9. If 8 litres if liquid A is added to the vessel, the new ratio becomes 8:9. Find the quantity of liquid A (in litres) in the original mixture
SSC MTS 2021-04.09.2023-2
A.
12
B.
9
C.
8
D.
6
ANSWER :
C. 8
8.
If A:B = 7:9 and B:C = 5:6, find the ratio of C and A respectively.
SSC MTS 2021-04.09.2023-2
A.
15:14
B.
14:15
C.
54:35
D.
35:54
ANSWER :
C. 54:35
9.
₹3,600 is divided such that half of the first part, one third of the second part, one fifth of the third part are the same. The value of the third part is ?
SSC MTS 2021-04.09.2023-3
A.
1080
B.
1000
C.
2400
D.
1800
ANSWER :
D. 1800
10.
If 15x = 24y = 32z, then x:y:z is equal to ?
SSC MTS 2021-05.09.2023-1
A.
32:15:20
B.
15:24:32
C.
32:20:15
D.
24:15:04
ANSWER :
C. 32:20:15
11.
Arrange the ratios in ascending order \(5 : 3\tfrac{1}{3},\; 6\tfrac{1}{4} : 3\tfrac{1}{8} \text{ and } 3.5 : 4.5.\)
SSC MTS 2021-05.09.2023-1
A.
\(3.5 : 4.5 < 5 : 3\tfrac{1}{3} < 6\tfrac{1}{4} : 3\tfrac{1}{8}\)
B.
\(6\tfrac{1}{4} : 3\tfrac{1}{8} < 5 : 3\tfrac{1}{3} < 3.5 : 4.5\)
C.
\(5 : 3\tfrac{1}{3} < 3.5 : 4.5 < 6\tfrac{1}{4} : 3\tfrac{1}{8}\)
D.
\(5 : 3\tfrac{1}{3} < 6\tfrac{1}{4} : 3\tfrac{1}{8} < 3.5 : 4.5\)
ANSWER :
A. \(3.5 : 4.5 < 5 : 3\tfrac{1}{3} < 6\tfrac{1}{4} : 3\tfrac{1}{8}\)
12.
If two varieties of a grain worth ₹202 per kg and ₹250 per kg, respectively, are mixed in the ratio of 7 : 5, then what is the cost (in ₹) of the resulting mixture per kg?
SSC MTS 2021-05.09.2023-1
A.
225
B.
218
C.
222
D.
220
ANSWER :
C. 222