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- Question
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
- Correct Answer
- 9
ExplanationHere the number of cogs is inveresly proportional to number of revolutions
=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9 - 1. 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
- 2. 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
- 3. On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?
Options- A. Rs. 5422
- B. Rs. 10,500
- C. Rs. 12,800
- D. Rs. 15,000 Discuss
- 4. What will be the average of the first 5 positive even numbers divisible by 9?
Options- A. 50
- B. 54
- C. 48
- D. 62 Discuss
- 5. The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?
Options- A. 32
- B. 36
- C. 44
- D. 52 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Ratio and Proportion problems
Search Results
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: Rs. 10,500
Explanation:
The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500
Correct Answer: 54
Correct Answer: 32
Explanation:
Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = 13200/110 = 120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32
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: 1 : 4 : 6
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: 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.
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