Quantitative Aptitude Quiz – 68

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1. The prices of sugar and rice are in the ratio 4 : 5. If the price of sugar is increased by 10% and that of rice is increased by 20%. Find the ratio between increased prices of sugar and rice?
a) 1 : 2
b) 5 : 6
c) 11 : 15
d) 11 : 12
e) 12 : 11

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Answer c) 11 : 15
Explanation:
Given Sugar : rice = 4 : 5
According to the question,
1.1 sugar / 1.2 rice = (1.1 / 1.2)*4/5 = 44/60 = 11 : 15.

2. Milk and water are in the ration 3 : 2 in a mixture of 180 litres. How much water should be added so that new ratio becomes 2 : 3?
a) 108
b) 90
c) 30
d) 72
e) None of these

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Answer b) 90
Explanation:
In 180 litres, milk = 108 ; water = 72
To be 2 : 3, 2X = 108 =>X = 54
=>New water = 3 * 54 = 162
So, water added = 162 – 72 = 90 litres.

3. In a college Seats for Mathematics, Physics and Biology are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
a) 2 : 3 : 4
b) 6 : 7 : 8
c) 6 : 8 : 9
d) 2 : 7 : 4
e) None of these

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Answer a) 2 : 3 : 4
Explanation:
Initial ratio = 5 : 7 : 8
After increase = 1.4 * 5 : 1.5 * 8 : 1.75 * 8 = 7 : 10.5 : 14
=>14 : 21 : 28 = 2 : 3 : 4.

4. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each in increased by Rs.4000, the new ratio becomes 40 : 57. What is Sumit’s salary?
a) 17,000
b) 20,000
c) 25,500
d) 38,000
e) None of these

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Answer d) 38,000
Explanation:
(2X + 4000) / (3X + 4000) = 40/57
=>6X = 68,000
=>3X = 34,000
Then, Present salary = 34000 + 4000 = 38,000.

5. If Rs.782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4, then the first part is:
a) 182
b) 190
c) 196
d) 204
e) None of these

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Answer d) 204
Explanation:
1/2 : 2/3 : 3/4 = 6 : 8 : 9
=>First part = 6/23 * 782 = 204.

6. In a bag there are coins of 25p, 10p and 5p in the ratio of 1 : 2 : 3. If there is Rs.30 in all, how many 5p coins are there?
a) 50
b) 100
c) 150
d) 200
e) None of these

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Answer c) 150
Explanation:
According to the question,
(1/4)X + (2/10)X + (3/20)X = 30
=>(12/20)X = 30
=>X = 50
So, number of 5p coins = 3X = 150.

7. By mistake, instead of dividing Rs.177 among three persons P, Q and R in the ratio 1/2 : 1/3 : 1/4, it was divided in the ratio 2 : 3 : 4. Who gains the most and how much?
a) P, Rs.28
b) Q, Rs.35
c) R, Rs.25
d) R, Rs.27
e) None of these

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Answer c) R, Rs.25
Explanation:
Ratio = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
So, In case P, Q and R would have got Rs.54, Rs.36 and Rs.27 respectively.
But actually the money was divided in the ratio 2 : 3 : 4
And Shares of P, Q and R in this case was = Rs.26, Rs.39 and Rs.52 respectively.
Therefore, Option C.

8. A cat takes 5 leaps for every 4 leaps of a dog but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speeds of the cat to that of the dog?
a) 11 : 15
b) 15 : 11
c) 16 : 15
d) 15 : 16
e) None of these

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Answer d) 15 : 16
Explanation:
4 leaps of cat = 3 leaps of dog
=>1 leap of cat = 3/4 leap of dog
Cat takes 5 leaps for every 4 leaps of dog(Given)
so, Required ratio = (5 * Cat’s leap) : (4 * Dog’s leap)
= (5 * 3/4 dog’s leap) : (4 * dog’s leap) = 15 : 16.

9. Rs.710 were divided among A, B and C in such a way that A had Rs.40 more than B and C had Rs.30 more than A. How much was C’s share?
a) 270
b) 300
c) 135
d) 235
e) None of these

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Answer a) 270
Explanation:
Let B gets = X.
Then, A gets (X + 40) and C gets (X + 70).
According to the question,
X + 40 + X + X + 70 = 710
=>3X = 600
=>X = 200
So, C’s share = 200 + 70 = 270.

10. Salary of Mr.X is 80% of the salary of Mr.Y and salary of Mr.Z is 120% of the salary of Mr.X. What is the ratio between the salaries of X, Y and Z, respectively?
a) 4 : 6 : 5
b) 16 : 24 : 25
c) 20 : 25 : 24
d) 4 : 5 : 6
e) None of these

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Answer c) 20 : 25 : 24
Explanation:
Let Y’s salary = 100
Then, X’s salary = 80
and Z’s salary = (80 * 120) / 100 = 96
Required ratio = 80 : 100 : 96 = 20 : 25 : 24.

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D2G’s Team..


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