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QUESTION: 1

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?

Solution:

Answer – C.13200 Explanation : 12a-7a = 3000 5a = 3000 a = 600 7a-4a = x 3a = x x = 1800 22*600 = 13200

QUESTION: 2

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

Solution:

A= 2/3 B; B= 1/3C;

A:B = 2:3 ; B:C = 1:3;

A:B:C = 2:3:9

C = 9/14 * 1638 = 1053

QUESTION: 3

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?

Solution:

Answer – C.X = 40; Z = 75 Explanation : 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

QUESTION: 4

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?

Solution:

Answer – D.Data inadequate Explanation : Total sum not given

QUESTION: 5

Two candles of the same height are lighted at the same time. The first is consumed in 4 hours and the second in 3 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted was the first candle twice the height of the second?

Solution:

QUESTION: 6

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?

Solution:

Answer – C.A = 1767; X = 2945 Explanation : 4/15 * A = 2/5 * B

A= 2/3 B;

A:B = 3:2;

A = 3/5 * 2945 = 1767

QUESTION: 7

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?

Solution:

Answer – C.40 Explanation : x+y=100 ————– (i) 44.50x + 55.25y = 4880 ————– (ii) Solving (i) and (ii) Y = 40

QUESTION: 8

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.

Solution:

4x – 2y = 5000 and 5x – 3y = 5000.

X = 2500, so income = 10000 and 12500.

QUESTION: 9

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,

Solution:

Answer – D.Sum = 98; B = 30 Explanation : A:B:C = 10:15:24

If sum = 98, B = 15/49 * 98 = 30

QUESTION: 10

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

Solution:

Answer – C.X = 840; Y = 280 Explanation : 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

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?

Solution:

Answer – c) 100:161 Explanation : Boys = 4x and girls = 7x Ratio = 4x*125/100 : 7x*115/100 = 100:161

QUESTION: 12

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?

Solution:

Answer – b) 1:2 Explanation : (40/100)*a + b = (120/100)*b a:b = 1:2

QUESTION: 13

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?

Solution:

Answer – d) data inadequate Explanation : Total sum not given

QUESTION: 14

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?

Solution:

Let height of both candles is ‘h’ and let after t times ratio between the height be h – t*(h/6) : h – t*(h/4) = 2:1

t = 3 hour

QUESTION: 15

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.

Solution:

Answer – b) decreases 21:20 Explanation : 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

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?

Solution:

Answer – b) 32 Explanation : 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

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?

Solution:

Answer – b) 10.5 Explanation : (3x – 3)/(4x – 3) = ½ x = 1.5 sum of the numbers = 7*1.5 = 10.5

QUESTION: 18

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?

Solution:

Answer – c) 42 Explanation : 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

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.

Solution:

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

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.

Solution:

Answer – b) 4000, 5000 Explanation : 4x – 2y = 2000 and 5x – 3y = 2000.

X = 1000, so income = 4000 and 5000

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