Online Quiz in Ratio and Proportions For Quantitative Aptitude for Competitive exams like IBPS BANK PO/Clerical,SBI,RRB,SSC,LIC,UPSC-CSAT,SCRA.MAT,CMAT,MBA,SNAP,CAT,NTSE,CLAT
Ratio and Proportions-Test 1
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Subject :- Quantitative Aptitude
Chapter :- Ratio and Proportion- Test 1
Questions :- 25
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An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the
difference between the shares of P and Q is Rs.X, and the difference between Q and R’s
share is Rs.3000. Find the total amount of money?
Correct
12a-7a = 3000
5a = 3000
a = 600
7a-4a = x
3a = x
x = 1800
22*600 = 13200
Incorrect
12a-7a = 3000
5a = 3000
a = 600
7a-4a = x
3a = x
x = 1800
22*600 = 13200
Question 2 of 25
2. Question
1 points
If a certain amount X is divided among A, B, C in such a way that A gets 2/3 of what B
gets and B gets 1/3 of what C gets, which of the following is true
Seats for Mathematics, Science and arts in a school are in the ratio 5:7:8. There is a
proposal to increase these seats by X%, Y% and Z% respectively. And the ratio of
increased seats is 2:3:4, which of the following is true?
Correct
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x)
i.e., (140/100 * 5x), (150/100 * 7x) and (175/100 * 8x)
i.e., 7x, 21x/2 and 14x
Required ratio = 7x:21x/2:14x
= 14x : 21x : 28x = 2:3:4
Incorrect
Question 4 of 25
4. Question
1 points
An amount of money is to be distributed among P, Q and R in the ratio of 7:4:5
respectively. If the total share of P and R is 4 times the share of Q, what is definitely Q’s
share?
Correct
Total sum not given
Incorrect
Total sum not given
Question 5 of 25
5. Question
1 points
Two candles of same height are lighted at the same time. The first is consumed in 3 hours
and second in 2 hours. Assuming that each candles burns at a constant rate, in how many
hours after being lighted, the ratio between the first and second candles becomes 2:1?
Correct
Height of both candles are same i.e. h
First one takes 6 hours to burn completely, so in one hour = h/3
Similarly second one will burn in one hour = h/2
Let after t time, ratio between their height is 2:1
so, remaining height of first candle = h – t*(h/3)
similarly for second candle = h – t*(h/2)
ratio given 2:1,
h – t*(h/3) / h – t*(h/2) = 2/1
Solving we get t = 9/2 = 4.5
Incorrect
Height of both candles are same i.e. h
First one takes 6 hours to burn completely, so in one hour = h/3
Similarly second one will burn in one hour = h/2
Let after t time, ratio between their height is 2:1
so, remaining height of first candle = h – t*(h/3)
similarly for second candle = h – t*(h/2)
ratio given 2:1,
h – t*(h/3) / h – t*(h/2) = 2/1
Solving we get t = 9/2 = 4.5
Question 6 of 25
6. Question
1 points
If A and B together have a certain amount X and if 4/15 of A’s amount is equal to 2/5 of
B’s amount, which of the following is true?
Correct
4/15 * A = 2/5 * B
A= 2/3 B;
A:B = 3:2;
A = 3/5 * 2945 = 1767
Incorrect
4/15 * A = 2/5 * B
A= 2/3 B;
A:B = 3:2;
A = 3/5 * 2945 = 1767
Question 7 of 25
7. Question
1 points
A sum of Rs.4880 was divided among boys and girls in such a way that each boy gets
Rs.44.50 and each girl get Rs. 55.25. If the total number of girls and boys is 100, find the
number of girls?
Correct
x+y=100 ————– (i)
44.50x + 55.25y = 4880 ————– (ii)
Solving (i) and (ii) Y = 40
Incorrect
x+y=100 ————– (i)
44.50x + 55.25y = 4880 ————– (ii)
Solving (i) and (ii) Y = 40
Question 8 of 25
8. Question
1 points
The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the
ratio of 2:3. If each of them saves 5000, then find their income.
Correct
4x – 2y = 5000 and 5x – 3y = 5000.
X = 8750, so income = 8750 and 15000
Incorrect
4x – 2y = 5000 and 5x – 3y = 5000.
X = 8750, so income = 8750 and 15000
Question 9 of 25
9. Question
1 points
If the ratio of the first to second is 2:3 and that of the second to the third is 5: 8, then
which of the following is true,
Correct
A:B:C = 10:15:24
If sum = 98, B = 15/49 * 98 = 30
Incorrect
A:B:C = 10:15:24
If sum = 98, B = 15/49 * 98 = 30
Question 10 of 25
10. Question
1 points
A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of
8:4:2.If the total values of coins isX and the total amount in rupees is Y,thenwhich of the
following is true
Correct
Value is given in the ratio 8:4:2.
(8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount, Y = 14*20 = 280
Incorrect
Value is given in the ratio 8:4:2.
(8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount, Y = 14*20 = 280
Question 11 of 25
11. Question
1 points
In a school the number of boys and girls are in the ratio of 4:7. If the number of boys are
increased by 25% and the number of girls are increased by 15%. What will be the new
ratio of number of boys to that of girls?
Correct
Boys = 4x and girls = 7x
Ratio = 4x*125/100 : 7x*115/100 = 100:161
Incorrect
Question 12 of 25
12. Question
1 points
When 40% percent of a number is added to another number the second number
increases to its 20%. What is the ratio between the first and second number?
Correct
(40/100)*a + b = (120/100)*b
a:b = 1:2
Incorrect
(40/100)*a + b = (120/100)*b
a:b = 1:2
Question 13 of 25
13. Question
1 points
An amount of money is to be distributed among P, Q and R in the ratio of 5:4:7
respectively. If the total share of P and R is 3 times the share of Q, what is definitely Q’s
share?
Correct
Total sum not given
Incorrect
Total sum not given
Question 14 of 25
14. Question
1 points
Two candles of same height are lighted at the same time. The first is consumed in 6 hours
and second in 4 hours. Assuming that each candles burns at a constant rate, in how many
hours after being lighted, the ratio between the first and second candles becomes 2:1?
Correct
Let height of both candles is ‘h’ and let after t times ratio between the height be 2:1
h – t*h/6 : h – t*h/4 = 2:1
t = 3
Incorrect
Let height of both candles is ‘h’ and let after t times ratio between the height be 2:1
h – t*h/6 : h – t*h/4 = 2:1
t = 3
Question 15 of 25
15. Question
1 points
An employer reduces the number of his employees in the ratio of 7:4 and increases their
wages in the ratio 3:5. State whether his bill of total wages increases or decreases and in
what ratio.
Correct
Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y
so total wage = 21xy initially and then 20xy
so wages decreases and ratio = 21:20
Incorrect
Let initial employees be 7x and then 4x similarly initial wages be 3y and then 5y
so total wage = 21xy initially and then 20xy
so wages decreases and ratio = 21:20
Question 16 of 25
16. Question
1 points
A vessel contains milk and water in the ratio of 4:3. If 14 litres of the mixture is drawn
and filled with water, the ratio changes to 3:4. How much milk was there in the vessel
initially?
Correct
milk = 4x and water = 3x
milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14
4x – 8: 3x + 8 = 3:4
X = 8, so milk = 8*4 = 32 litres
Incorrect
milk = 4x and water = 3x
milk = 4x – 14*4/7 and water = 3x – 14*3/7 + 14
4x – 8: 3x + 8 = 3:4
X = 8, so milk = 8*4 = 32 litres
Question 17 of 25
17. Question
1 points
The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio
becomes 1:2. Find the sum of the two numbers?
Correct
(3x – 3)/(4x – 3) = ½
x = 1.5
sum of the numbers = 7*1.5 = 10.5
Incorrect
(3x – 3)/(4x – 3) = ½
x = 1.5
sum of the numbers = 7*1.5 = 10.5
Question 18 of 25
18. Question
1 points
The sum of three numbers is 210. If the ratio between the first and second number be 2:3
and that between the second and third be 4:5, then the difference between the first and
third number?
Correct
a: b = 2:3 and b:c = 4:5
a:b:c = 8:12:15
Difference between first and third number = (7/35)*210 = 42
Incorrect
a: b = 2:3 and b:c = 4:5
a:b:c = 8:12:15
Difference between first and third number = (7/35)*210 = 42
Question 19 of 25
19. Question
1 points
A bag contains 25p coins, 50p coins and 1 rupee coins whose values are in the ratio of
8:4:2. The total values of coins are 840. Then find the total amount in rupees.
Correct
Value is given in the ratio 8:4:2.
(8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount = 14*20 = 280
Incorrect
Value is given in the ratio 8:4:2.
(8x/0.25) + (4x/0.5) + (2x/1) = 840.
X = 20. Total amount = 14*20 = 280
Question 20 of 25
20. Question
1 points
The income of Neha and Hitesh are in the ratio of 4:5 and their expenditure is in the
ratio of 2:3. If each of them saves 2000, then find their income.
Correct
4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
Incorrect
4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
Question 21 of 25
21. Question
1 points
A company reduces his employee in the ratio 14 : 12 and increases their wages in the ratio 16:18, Determine whether the bill of wages increases or not and in what ratio.
Correct
Let initial employee be 14a and final employee be 12a similarly initial wage is 16b and final wage be 18b
Total initial wage = 14a * 16b = 224ab, total final wage = 12a* 18b = 216ab
So clearly wages decreases and ratio = 224ab: 216ab = 28:27
Incorrect
Let initial employee be 14a and final employee be 12a similarly initial wage is 16b and final wage be 18b
Total initial wage = 14a * 16b = 224ab, total final wage = 12a* 18b = 216ab
So clearly wages decreases and ratio = 224ab: 216ab = 28:27
Question 22 of 25
22. Question
1 points
A bucket contains liquid A and B in the ratio 4:5. 36 litre of the mixture is taken out and
filled with 36 litre of B. Now the ratio changes to 2:5. Find the quantity of liquid B initially.
Correct
Let A = 4x and B = 5x
Now, A = 4x – 36*4/9 and B = 5x – 36*5/9 + 36 Now, ratio between A and B = 2:5
X = 11.2 now B = 11.2*5 = 56
Incorrect
Let A = 4x and B = 5x
Now, A = 4x – 36*4/9 and B = 5x – 36*5/9 + 36 Now, ratio between A and B = 2:5
X = 11.2 now B = 11.2*5 = 56
Question 23 of 25
23. Question
1 points
Two numbers are in the ratio of 5:6 and if 4 is added to the first number and 4 is
subtracted from the second number then the ratio becomes 3:2. Find the difference
between two numbers.
Correct
(5x + 4)/ (6x -4) = 3/2
Incorrect
(5x + 4)/ (6x -4) = 3/2
Question 24 of 25
24. Question
1 points
The income of riya and priya are in the ratio of 4:5 and their expenditure is in the ratio
of 2:3. If each of them saves 2000, then find their income.
Correct
4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
Incorrect
4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
Question 25 of 25
25. Question
1 points
A 50 litre of mixture contains milk and water in the ratio 2:3. How much milk must be
added to the mixture so that it contains milk and water in the proportion of 3:2.