Discussion
Home ‣ Aptitude ‣ Ratio and Proportion Comments
- Question
- 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
- Correct Answer
- ad - bc/c - d
ExplanationLet 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) - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. The total number of student in a school is 8670. If the number of boys in the school is 4545, then what will be the ratio of the total number of boys to the total number of girls in the school?
Options- A. 303 : 275
- B. 275 : 303
- C. 11 : 12
- D. 12 : 11 Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Ratio and Proportion problems
Search Results
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: 303 : 275
Explanation:
Total number of student = 8670
Total number of boys = 4545
? Total number of girls = 8670 - 4545 = 4125
? Required ratio = 4545 : 4125 = 303 : 275
Correct Answer: ? 2400
Explanation:
Given, 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
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
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