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- Question
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
- Correct Answer
- 16/25
ExplanationIf 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. - 1. 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 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?
Options- A. 5
- B. 4
- C. 20
- D. 28 Discuss
- 10. What is the third proportional to 9 and 45?
Options- A. 405
- B. 225
- C. 5
- D. 81 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 3:2:4
Explanation:
Given, 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.
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: 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.
Correct Answer: 225
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