Discussion
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- Question
- A sum of ? 7000 is divided among A, B, and C in such a way that the shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4 : 5, The ahare of B is
Options- A. ? 1600
- B. ? 2000
- C. ? 2400
- D. ? 3000
- Correct Answer
- ? 2400
ExplanationGiven, A : B = 2 : 3
and B : C = 4 : 5
Then, A : B : C = 8 : 12 : 15
7there4; Share of B = [12/(8 + 12 + 15)] x 7000
= (12 x 7000)/35
= 2400
= ? 2400 - 1. The quantity that must be added to each term of a : b, so as to make it c : d, is
Options- A. ab - cd/a - b
- B. ac + bd/c + a
- C. ad + bc/c + d
- D. ad - bc/c - d Discuss
- 2. Divide ? 990 into 3 parts in such a way that half of the first part, one - third of the second part and one -fifth of the third part are equal .
Options- A. 198, 494, 298
- B. 198, 297 , 495
- C. `200, 300 , 490
- D. 196, 298, 496 , Discuss
- 3. A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1 / 4 : 1/5 : 1/6. What is the minimum number of pens that the person should have?
Options- A. 75
- B. 45
- C. 57
- D. 65 Discuss
- 4. A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is
Options- A. 4 : 1
- B. 1 : 4
- C. 2 : 1
- D. 1 : 2 Discuss
- 5. A truck covers a distance 640 km in 10 h. A car covers the same distance in 8 h. What is the respective ratio of speed of the truck to that of car?
Options- A. 3 : 4
- B. 1 : 2
- C. 4 : 5
- D. None of these Discuss
- 6. A sum of money is divided among A, B, C and D in the ratio of 3 : 7 : 9 : 13 . If the share of B is ?, then what will be the total amount of money of A and C together?
Options- A. ? 8352
- B. ? 6998
- C. ? 9784
- D. ? 7456 Discuss
- 7. The ratio between the ages of A and B is 3 : 5 and the sum of their ages is 56 yr. The ratio between their ages 7 yr ago was
Options- A. 3 : 4
- B. 3 : 5
- C. 1 : 2
- D. 2 : 3 Discuss
- 8. The ratio of the ages of a father to that of their ages (in years) is 1000, then find the father's age after 10 yr.
Options- A. 50 yr
- B. 60 yr
- C. 80 yr
- D. 100 yr Discuss
- 9. 35% of a number is two times 75% of another number. What is the ratio between the first and the second number, respectively?
Options- A. 35 : 6
- B. 31 : 7
- C. 23 : 7
- D. 32 : 9 Discuss
- 10. The ratio of milk and water in 85 kg of adulterated milk is 27 : 7. The amount of water which must be added to make the ratio 3 : 1 is?
Options- A. 5 kg
- B. 6.5 kg
- C. 7.25 kg
- D. 8 kg Discuss
Ratio and Proportion problems
Search Results
Correct Answer: ad - bc/c - d
Explanation:
Let the quantity be k.
Then, (a + k) / (b + k) = c/d
? (a + k)d = (b + k)c
? ad + dk = bc + ck
? ad - bc = ck - dk
? ad - bc = k(c - d)
? k = (ad - bc) / (c - d)
Correct Answer: 198, 297 , 495
Explanation:
If three parts be P, Q and R,
then, P/2 = Q/3 = R/5
? P : Q : R = 2 : 3 : 5
? P = (2/10) x 990 = 198
Q = (3/10) x 990 = 297 and
R = (5/10) x 990 = 495
Correct Answer: 57
Explanation:
The ratio among A, B, C and D = 1/3 : 1 / 4 : 1/5 : 1/6
On rearranging the ratio = 60/3 : 60/4: 60/5 : 60/6 = 20 : 15 : 12 : 10
So minimum number of pens can be when the common ration is 1.
So minimum number of pen = 20 + 15 + 12 + 10 = 57
Correct Answer: 1 : 4
Explanation:
Case I Speed = Distance/ Time
Case II Speed = (Distance/2) / (2 x Time) = Distance / (4 x Time)
? Required ratio = 1/4 = 1:4
Correct Answer: 4 : 5
Explanation:
Speed of truck 640/10 = 64 km/h
Speed of car = 640/8 = 80 km/h
So, the required ratio = 64/80 = 4/5 = 4 : 5
Correct Answer: ? 8352
Explanation:
Let A's share = 3N
B's share = 9N
and D's share = 13N
According to the question
7N = 4872
? N = 4872/7 = 696
Share of A and C = 3N + 9N = 12N
= 12 x 696 = ? 8352
Correct Answer: 1 : 2
Explanation:
Age of A = (3/8) x 56 = 21 yr
Age of B = (5/8) x 56 = 35 yr
Before 7yr, ration of the ages of A and B
= (21 - 7) : (35 - 7)
= 14 : 28
= 1 : 2
Correct Answer: 60 yr
Explanation:
Let the age of father = 5k
and the age of son = 2k
According to the question,
5k x 2k = 1000
? 10k2 = 1000
? k2 = 100
? k = ?100 = 10
? Father's age after 10 yr = (5k + 10)
= 5 x 10 + 10
= 60 yr
Correct Answer:
Explanation:
Let first number is P and second number is Q.
Then, according to the question,
P x 35% = 2 x Q x 75%
? (P x 35)/100 = (2 x Q x 75)/100
? P/Q = (2 x 75)/35 = (2 x 15)/7 = 30/7
? P : Q = 30 : 7
Correct Answer: 5 kg
Explanation:
Milk = 85 x (27/34) kg = 135/2 kg = 67.5 kg
Water = 85 x (7/34) kg = 35/2 kg = 17.5 kg
Let Amount of water to be added is x,
? 67.5 / (17.5 + x) = 3/1
? 3 (17.5 + x) = 67.5
? x =5
? Water to be added = 5 kg.
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