ratio proportion and partnership Model Questions & Answers, Practice Test for ssc chsl tier 1 2023
ssc chsl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Powers Surds & Indices
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Which number should replace both the question marks in the following equation? $?/84$ = ${189}/?$
Answer: (a)
$?/84=189/?$
or $?^2$ = 84 × 189
or $?^2$ = 21 × 4 × 21 × 9
or $?^2 = 21^2 × 2^2 × 3^2$
∴ ? = 21 × 2 × 3 = 126
A hound pursues a hare and takes 5 leaps for every 6 leaps of the hare, but 4 leaps of the hound are equal to 5 leaps of the hare. Compare the rates of the hound and the hare.
Answer: (b)
4 leaps of hound = 5 leaps of hare
∴ 5 leaps of hound = ${25}/4$ leaps of hare
∴ the rate of hound : rate of hare = ${25}/4$ : 6 = 25 : 24
Or,
Ratio of | Hound | Hare |
Leap frequency | 5 | 6 |
Leap length | 4 | 5 |
Then the required ratio of speed is the ratio of the cross product.
That is, speed of hound : speed of hare
= 5 × 5 : 6 × 4 = 25 : 24
The ages of A and B are in the ratio 3 : 1. 15 year hence the ratio will be 2 : 1. Their present ages are
Answer: (a)
Let Age of A = 3x
Age of B = x
∴${3x + 15}/{x + 15}$ = $2/1$
3x + 15 = 2x + 30
x = 15
∴Present Age of A = 45 years
Present Age of B = 15 years
28% members of a certain group are married. What is the respective ratio between the number of married members to the number of unmarried members?
Answer: (b)
28% are married it implies that 72% are unmarried.
Ratio = 28 : 72
= 7 : 18
A and B started a business by investing Rs. 35,000 and Rs. 20,000 respectively. B left the business after 5 months and C joined the business with a sum of Rs. 15,000. The profit earned at the end of the year is Rs. 84,125. What is B's share of profit?
Answer: (b)
Ratio of equivalent capitals of A, B and C for 1 month
= 35000 × 12 : 20000 × 5 : 15000 × 7
= 35 × 12 : 20 × 5 : 15 × 7 = 84 : 20 : 21
Sum of the ratios = 84 + 20 + 21 = 125
∴ B's share = Rs.$({{20}/{125}} × 84125)$ = Rs. 13460
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