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- Question
- A sum of Rs. 1300 is divided between A, B and C and D such that ( A's share / B's share ) = ( B's share / C's share ) = ( C's share / D's share ) = 2 / 3, Then A's share is?
Options- A. Rs. 140
- B. Rs. 160
- C. Rs. 240
- D. Rs. 320
- Correct Answer
- Rs. 160
Explanation? A : B = 2 : 3, B : C = 2 : 3 and C:D = 2 : 3
? A : B = 8 : 12, B : C = 12 : 18 and C : D = 18 : 27
? A : B : C : D =8 : 12 : 18 : 27
So A's share = Rs. 1300 x ( 8 / 65) = Rs. 160 - 1. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What amount of water must be added to make the ratio 1 : 2?
Options- A. 42 litres
- B. 56 litres
- C. 60 litres
- D. 77 litres Discuss
- 2. The ratio between two numbers is 3 : 4 and their L.C.M. is 180. The first number is?
Options- A. 15
- B. 20
- C. 45
- D. 60 Discuss
- 3. 6 man, 8 woman, 6 children complete a job for a sum of Rs. 950. if their individuals wages are in ratio 4 : 3 : 2, the total money earned by the children is?
Options- A. Rs. 190
- B. Rs. 195
- C. Rs. 215
- D. Rs. 230 Discuss
- 4. A man has some hens and cows. If the number of heads be 48 and number of feet equal 140 the number of hens will be?
Options- A. 22
- B. 23
- C. 24
- D. 26 Discuss
- 5. The average age of 3 girls is 20 years and their ages are in the proportion 3 : 5 : 7. the age of youngest girl is?
Options- A. 4 years
- B. 6 years 8 months
- C. 8 years 3 months
- D. 12 years Discuss
- 6. Two equals glasses are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents mixed in a tumbler, The ratio of milk and water in the tumbler is?
Options- A. 7 : 5
- B. 7 : 17
- C. 3 : 7
- D. 11 : 23 Discuss
- 7. If a : b = c : d then, (ma + nc) / (mb + nd) is equal to?
Options- A. m : n
- B. na : mb
- C. a : b
- D. md : nc Discuss
- 8. A mixture contains milks and water in the ratio 5 : 1. On adding 5 litres of water the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is?
Options- A. 16 litres
- B. 25 litres
- C. 32.5 litres
- D. 22.75 litres Discuss
- 9. A's money is to B's money as 4 : 5 and B's money is to c's money as 2 : 3. If A has Rs. 800, C has?
Options- A. Rs. 1000
- B. Rs. 1200
- C. Rs. 1500
- D. Rs. 2000 Discuss
- 10. 15 litres of a mixture contains 20% alcohol and the rest water. If 3 litres of water be mixed in it. The percentage of alcohol in the new mixture will be?
Options- A. 17
- B. 162/ 3
- C. 181/ 2
- D. 15 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 60 litres
Explanation:
Milk = 60 x (2/3) litres =40 litres
Water = (60 - 40) litres = 20 litres
? 40 / (20 + x) = 1/2
? 20 + x = 80
? x = 60
Hence water to be added = 60 litres.
Correct Answer: 45
Explanation:
Let the numbers be 3x and 4x
Then, their L.C.M. = 12x
? 12x = 180
? x = 15
Hence, the first number = 45
Correct Answer: Rs. 190
Explanation:
Ratio of wages of 6 men, 8 women and 6 = (6 x 4) : (8 x 3) : (6 x 2) = 24: 24 : 12
= 2 : 2 : 1
? Total money earned by children = Rs. (950 x 1/5)
= Rs. 190
Correct Answer: 26
Explanation:
Let the numbers of hens = x and number of cows = y
Then x + y = 48 and 2x + 4y = 140
Solving these equations, we get 2y = 44
? y = 22
So, x = (48 - 22) = 26
? Number of hens = 26.
Correct Answer: 12 years
Explanation:
Their total age = (3 x 20) yeras = 60 years
Let their ages be 3x, 5x and 7x years.
Then 3x + 5x + 7x = 60
? x = 4
? yongest girl is = 3x = 12 years old.
Correct Answer: 7 : 17
Explanation:
First glass contains milk = 1/3 and water = 2/3
Second glass contains milk = 1/4 and water = 3/4
? Now tumbler contains water = (3/2 + 3/4) = 17/12
? Ratio of milk and water =7/12 : 17/12 =7 : 17
Correct Answer: a : b
Explanation:
Let (a/b) = (c/d) = k
Then, a = bk and c = dk.
? (ma + nc) / (mb + nd) = (mbk + ndk) / (mb + nd) = k(mb + nd/mb + nd)
= k = a/b = a : b.
Correct Answer: 25 litres
Explanation:
Let quantity of milk and water be 5x and x litres.
Then, 5x / (x + 5) = 5/2
? 10x = 5x + 25
? x =5
? Quantity of milk = 5x =25 litres
Correct Answer: Rs. 1500
Explanation:
A : B = 4 : 5 = 8 : 10 and B : C = 2 : 3 = 10 : 15
? A : B : C = 8 : 10 :15
If A has Rs. 8, C has Rs. 15
If A has Rs. 800 C has Rs. (15/8 x 100) = Rs. 1500
Correct Answer: 162/ 3
Explanation:
Alcohol = (20/100) x 15 litres = 3 litres,
Water = 12 litres
New mix, contains,
Alcohol = 3 litres,
Water = 15 litres
? Percentage of alcohol in new mix. = (3/18) x 100 % = 162/ 3%
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