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- Question
A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.
Options- A. 8 Liters
- B. 10 Liters
- C. 18 Liters
- D. 22 Liters
- Correct Answer
- 10 Liters
ExplanationLet the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,
(4x)/(3x+5) = 4/5
=> 20x = 4(3x+5)
=> x = 2.5
Quantity of alcohol = (4 * 2.5) liters = 10 liters.
- 1. In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?
Options- A. 910
- B. 1000
- C. 970
- D. None of the above Discuss
- 2. Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?
Options- A. 6 : 8 : 9
- B. 8 : 6 : 9
- C. 9 : 8 : 6
- D. 6 : 5 : 4 Discuss
- 3. Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number of graduates having experience?
Options- A. 12:1
- B. 5:1
- C. 1:5
- D. 1:12 Discuss
- 4. In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio of 4:5, while the weight of an orangeis 150gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets
Options- A. 90:75:42
- B. 180:150:82
- C. 75:42:90
- D. None of these Discuss
- 5. The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?
Options- A. 225 deg
- B. 210 deg
- C. 205 deg
- D. 245 deg Discuss
- 6. A, B and C have amounts in the ratio of 3 : 4 : 5. First B gives 1/4th to A and 1/4th to C then C gives 1/6th to A. Find the final ratio of amount of A, B and C respectively.
Options- A. 4:3:5
- B. 5:4:3
- C. 3:4:5
- D. 5:2:5 Discuss
- 7. At a casino in mumbai, there are three tables A, B and C. The payoffs at A is 10:1, at B is 20:1 and at C is 30:1. If a man bets Rs 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be?
Options- A. Rs.2500
- B. Rs.2000
- C. Rs.4000
- D. None of these Discuss
- 8. What is the equivalent compound ratio of 5:6::7:10::6:5 ?
Options- A. 7 : 9
- B. 9 : 7
- C. 7 : 4
- D. 7 : 10 Discuss
- 9. The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of ?
Options- A. 4:5
- B. 6:5
- C. 3:2
- D. 1:3 Discuss
- 10. If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?
Options- A. 18 : 24 : 11
- B. 9 : 15 : 1
- C. 20 : 15 : 9
- D. 21 : 7 : 3 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: None of the above
Explanation:
504/M = 384/800
(504 x 800) / 384 = M
M = 1050
Correct Answer: 9 : 8 : 6
Explanation:
Given the salaries are in the ratio of 4 : 5 : 6
Now the salaries are increased by 50%, 60% and 50% respectively
The New ratio of salaries will be
4 x (150/100) : 5 x (160/100) : 6 x (150/100)
= 6 : 8 : 9
The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6
Correct Answer: 1:12
Explanation:
Given total applicants = 135
Given graduates are G=60
Otherthan graduates=135-60 = 75
Given experienced candidates = 80
1) For maximum number of graduates have experience
Total graduates to have experience = 60
2) For minimum number of graduates have experience
Remaining after taking other than graduates in experience= 80-75 = 5
Correct Answer: None of these
Explanation:
Ratio of fruits (by dozen) = 3:2:7
Ratio of fruits (by weight) = 120 :150: 24
Therefore, Ratio of fruits (combined) by weight = 3 x 120 : 2 x 150 : 7 x 24 = 30 : 25 : 14
Correct Answer: 225 deg
Explanation:
Angle of triangle = 180 × 3/12
= 45 deg
Other angles of the triangle are = 60 deg, 75 deg
Angle of quadrilateral
= 360 - (45 + 60 + 75)
= 180 deg
Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.
Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.
Correct Answer: 5:2:5
Explanation:
A B C
3x 4x 5x
(3x+x) 2x (5x+x) (B Gives 1/4 to A and 1/4 to C)
=4x 2x 6x
(4x+x) 2x 5x ( C Gives 1/6 to A)
=5x 2x 5x
Therefore, 5 : 2 : 5
Correct Answer: Rs.4000
Explanation:
Maximum earning will be only when he will won on the maximum yielding table.
A ----> 10:1
B ----> 20:1
C ----> 30:1
i.e, he won on B and C but lost on A
20 x 200 + 30 x 200 -1 x 200 = 9800
minimum earning will be when he won on table A and B and lose on that table 3.
Therefore, 10 x 200 + 20 x 200 - 1 x 200 = 6000-200 = 5800
Therefore, Difference= 9800 - 5800 = 4000
Correct Answer: 7 : 10
Explanation:
Given 5:6 :: 7:10 :: 6:5
We know that compound ratio is calculated as
a:b :: c:d :: e:f
(axcxe):(bxdxf)
=> (5x7x6):(6x10x5)
=> (210):(300)
= 7:10
Correct Answer: 6:5
Explanation:
4:5
3:2
-------
=> 12:15:10
12:10
=> 6:5
Correct Answer: 20 : 15 : 9
Explanation:
Given k : l = 4 : 3
l : m = 5 : 3
Then k : l : m = 20 : 15 : 9
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