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- Question
What is the third proportional to 16 and 36 ?
Options- A. 81
- B. 79
- C. 84
- D. 88
- Correct Answer
- 81
Explanation
f C is the third proportional to A and B, then A/B = B/C If x is the third proportional to 16 and 36, then 16/36 = 36/x => 4/9 = 36/x => x = 36 * 9/4 => x = 9 * 9 => x = 81 - 1. The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio becomes 5 : 4 : 3?
Options- A. 1:3
- B. 2:1
- C. 3:4
- D. 2:3 Discuss
- 2. Alloy A contains 40% gold and 60% silver. Alloy B contains 35% gold and 40% silver and 25% copper. Alloys A and B are mixed in the ratio of 1:4 .What is the ratio of gold and silver in the newly formed alloy is?
Options- A. 20% and 30%
- B. 36% and 44%
- C. 25% and 35%
- D. 49% and 36% Discuss
- 3. The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2 , 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. what is the ratio of petrol and kerosene in the new mixture?
Options- A. 4:5
- B. 3:2
- C. 3:5
- D. 2:3 Discuss
- 4. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Options- A. 100
- B. 250
- C. 260
- D. 416 Discuss
- 5. A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Options- A. 9:5
- B. 2:3
- C. 4:7
- D. 5:6 Discuss
- 6. Divide Rs.6500 among A, B and C so that after spending 90%, 75% and 60% of their respective saving was in the ratio of 3: 5: 6
Options- A. A=1000, B=2000, C=1500
- B. A=3000, B=1000, C=1500
- C. A=3000, B=2000, C=1500
- D. A=3000, B=2000, C=1000 Discuss
- 7. The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?
Options- A. 4,12,480
- B. 3,67,500
- C. 5,44,700
- D. 2,98,948 Discuss
- 8. The third proportional to x2-y2 and x-y is :
Options- A. (x + y )
- B. (x - y)
- C. (x + y) / ( x - y)
- D. (x -y) / ( x + y) Discuss
- 9. If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
Options- A. 12
- B. 15
- C. 16
- D. 19 Discuss
- 10. The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?
Options- A. Rs. 5500
- B. Rs. 6000
- C. Rs. 6200
- D. Rs. 6350 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 2:1
Explanation:
Let, B1 : B2 : B3 = 3x : 4x : 5x
again B1 : B2 : B3 = 5y : 4y : 3y
Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket
Therefore, 5x = 3y
Hence 3x : 4x : 5x => = 9y:12y:15y
and 5y : 4y : 3y => 25x : 20x : 15x
Therfore, increment in first basket = 16
Increment in second basket = 8
Thus, required ratio = 16/8 = 2:1
Correct Answer: 36% and 44%
Explanation:
Assume the weight of alloy a is 100 kg
Therefore, The weight of alloy B is 400kg
Gold silver copper
A 40kg 60kg 0kg
B 140kg 160kg 100kg
total 180kg 220kg 100kg
Therefore, Ratio of gold and silver in new alloy = = 36% :44%
Correct Answer: 3:2
Explanation:
Concentration of petrol in A B C
1/2 3/5 4/5
Quantity of petrol taken from A = 1 litre out of 2 litre
Quantity of petrol taken from B = 1.8litre out of 3 litre
Quantity of petrol taken from C = 0.8 litre out of 1 litre
Therefore, total petrol taken out from A, B and C = 1+1.8+0.8 =3.6 litres
So, the quantity of kerosen =(2+3+1) - 3.6 =2.4 litre
Thus, the ratio of petrol to kerosene = 3.6/2.4 = 3/2
Correct Answer: 416
Explanation:
Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.
Correct Answer: 9:5
Explanation:
Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5.
Correct Answer: A=3000, B=2000, C=1500
Explanation:
A's spending 90% therefore saving = 10% B's spending 75% therefore saving = 25% C's spending 60% therefore saving = 40% Let us suppose A, B and C saves Rs. 3, 5 and 6 respectively. 10% of A's saving = Rs. 3 100% of A's saving = (3/10)*100 = Rs. 30 25% of B's saving = Rs. 5 100% of B's saving = (5/25)*100 = Rs. 20 40% of C's saving = Rs.6 100% of C's saving = (6/40)*100 = Rs. 15 Divide Rs. 6500 in the ratio of 30 : 20 : 15 A's Share = (30/65)*6500 = Rs. 3000 B's Share = (20/65)*6500 = Rs. 2000 C's Share = (15/65)*6500 = Rs. 1500
Correct Answer: 3,67,500
Explanation:
Let the total population be 'p'
Given ratio of male and female in a city is 7 : 8
In that percentage of children among male and female is 25% and 20%
=> Adults male and female % = 75% & 80%
But given adult females is = 156800
=> 80%(8p/15) = 156800
=> 80 x 8p/15 x 100 = 156800
=> p = 156800 x 15 x 100/80 x 8
=> p = 367500
Therefore, the total population of the city = p = 367500
Correct Answer: (x -y) / ( x + y)
Explanation:
Let the third proportional to and be z. Then,
=> z=
Correct Answer: 12
Explanation:
Given ratio = 7 : 5 : 3 : 4, Sum of ratio terms = 19.
Smallest part = (76*3/19) = 12
Correct Answer: Rs. 6000
Explanation:
The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000
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