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- Question
If y/(x - z) = (y + x)/z = x/y then find z : y : x ?
Options- A. 1:2:3
- B. 3:2:4
- C. 4:3:2
- D. 2:3:4
- Correct Answer
- 3:2:4
ExplanationGiven, y/(x - z) = (y + x)/z = x/y
Also
Using (1) and (2), we get yz = xy - yz +
2yz = xy +
2z = x + y
Only option (B) satisfies the equation. - 1. If A : B = 1 : 4 and B : C = 2 : 3, then what is A : B : C?
Options- A. 1 : 4 : 6
- B. 2 : 8 : 7
- C. 2 : 8 : 5
- D. 1 : 4 : 5 Discuss
- 2. The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2. Find their incomes ?
Options- A. 200, 400
- B. 100, 300
- C. 100, 200
- D. 150, 200 Discuss
- 3. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?
Options- A. 11
- B. 7
- C. 9
- D. 13 Discuss
- 4. Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ?
Options- A. Rs. 1595.14
- B. Rs. 1793.4
- C. Rs. 595.14
- D. Rs. 1551.5 Discuss
- 5. A Product is supported each week by the same three Product supporters. Last month the first supporter took 440 calls, the second took 360 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three supporters each increase their work proportionately, how many more calls will the second supporter take this month than last month ?
Options- A. 131 calls
- B. 160 calls
- C. 491 calls
- D. 600 calls Discuss
- 6. At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?
Options- A. 11/24
- B. 1/5
- C. 16/25
- D. 6/5 Discuss
- 7. Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ?
Options- A. 25 : 114
- B. 35 : 103
- C. 15 : 108
- D. 41 : 94 Discuss
- 8. The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8 : 9 : 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock?
Options- A. 1 : 1 : 2
- B. 6 : 6 : 13
- C. 12 : 15 : 19
- D. 4 : 9 : 13 Discuss
- 9. 6 pumps of kirlosker can fill a tank in 7 days and 2 similar pumps of USHA can fill the same tank in 18 days. what is the ratio of the efficiency of a kirlosker pump and a USHA pump?
Options- A. 6:7
- B. 7:6
- C. 7:54
- D. None of these Discuss
- 10. If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?
Options- A. 5
- B. 4
- C. 20
- D. 28 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 1 : 4 : 6
Correct Answer: 150, 200
Explanation:
The incomes of A and B be 3P and 4P.
Expenditures = Income - Savings
(3P - 100) and (4P - 100)
The ratio of their expenditure = 1:2
(3P - 100):(4P - 100) = 1:2
2P = 100 => P = 50
Their incomes = 150, 200
Correct Answer: 9
Explanation:
Here the number of cogs is inveresly proportional to number of revolutions
=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9
Correct Answer: Rs. 1595.14
Explanation:
Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3
No of ladies, gents and girls are 5, 3, 3
Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9
so part of gents = (12/56) x 7444 = Rs. 1595.142
so part of 1 gents = 1595.142/3 = Rs. 531.71.
Correct Answer: 131 calls
Explanation:
1st supporter recieve 440 calls
2nd supporter recieve 360 calls
3rd supporter recieve 300 calls
So total calls = 1100 calls ;
Calls this month= 1500
So remaining calls to be distributed is 400
So Now Ratio 1st:2nd:3rd ==> 440:360:300
=> 22:18:15
Now No. of More Calls 2nd supporter will get => [18/(22+18+15)] x 400
=> (18/55) x 400
=> 131 Calls
So 131 more Calls than last month.
Correct Answer: 16/25
Explanation:
If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.
Correct Answer: 35 : 103
Explanation:
Santhosh's investment = 6000 x 70/100 = Rs.4200
Rajitha's investment = 4200 x 5/4 = Rs.5250
Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.
Required ratio = 5250 : 15450 = 35 : 103.
Correct Answer: 1 : 1 : 2
Correct Answer: 6:7
Explanation:
The number of days required by a single kirlosker pump to fill the tank = 6 x 7 =42 days and the number of days required by a single USHA pump to fill the same tank = 2 x 18 =36 days.
Now , since efficiency is inversely proportional to the number of days. Hence,
Correct Answer: 20
Explanation:
Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.
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