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This mock test of Test: Ratio And Proportion, Indices, Logarithms - 1 for CA Foundation helps you for every CA Foundation entrance exam.
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QUESTION: 1

Choose the most appropriate option (a) (b) (c) or (d)

The inverse ratio of 11 : 15 is

Solution:

QUESTION: 2

The ratio of two quantities is 3 : 4. If the antecedent is 15, the consequent is

Solution:

QUESTION: 3

The ratio of the quantities is 5 : 7. If the consequent of its inverse ratio is 5, the antecedent is

Solution:

QUESTION: 4

The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is

Solution:

QUESTION: 5

The duplicate ratio of 3 : 4 is

Solution:

QUESTION: 6

The sub duplicate ratio of 25 : 36 is

Solution:

QUESTION: 7

The ratio compounded of 4:9, and the duplicate ratio of 3:4,the triplicate ratio of 2:3 and 9:7 is

Solution:

QUESTION: 8

The sub triplicate ratio of 8 : 27 is

Solution:

sub triplicate ratio of 8:27 is 3√8:3√27=2:3.

QUESTION: 9

The ratio compounded of 4 : 9 and the duplicate ratio of 3 : 4 is

Solution:

QUESTION: 10

The ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3 and 9 : 7 is

Solution:

QUESTION: 11

The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub triplicate ratio of 125 : 512 is

Solution:

QUESTION: 12

If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) is

Solution:

QUESTION: 13

Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5.The numbers are

Solution:

QUESTION: 14

The angles of a triangle are in ratio 2 : 7 : 11. The angles are

Solution:

QUESTION: 15

Division of Rs. 324 between X and Y is in the ratio 11 : 7. X & Y would get Rupees

Solution:

QUESTION: 16

Anand earns Rs. 80 in 7 hours and Promode Rs. 90 in 12 hours. The ratio of their earnings is

Solution:

Here find both persons earning in 1 hour.

As Anand earn Rs 80 in 7 hours , so he earn 80 /7 in one hour

And Pramod earn Rs 90 in 12 hours , so he earn 90/12 in one hour .

So the ratio of their earning is Anand : pramod = 807/9012/ =32:21

QUESTION: 17

The ratio of two numbers is 7 : 10 and their difference is 105. The numbers are

Solution:

QUESTION: 18

P, Q and R are three cities. The ratio of average temperature between P and Q is 11 : 12 and that between P and R is 9 : 8. The ratio between the average temperature of Q and R is

Solution:

QUESTION: 19

If x : y = 3 : 4, the value of x^{2}y + xy^{2} : x^{3} + y^{3} is

Solution:

QUESTION: 20

If p : q is the sub duplicate ratio of p–x^{2} : q–x^{2} then x^{2} is

Solution:

QUESTION: 21

If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then

Solution:

QUESTION: 22

If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px + 3qy : 10px + 4qy is

Solution:

P:q=2:3, x:y=4:5

Let the common multiple be 'a'

p=2a , q=3a ;x=4a , y=5a

5(2a) (4a) +3(3a) (5a) : 10 (2a) (4a) +4(3a) (5a)

40a+45a : 80a+60a

95a : 140a

19 : 28

QUESTION: 23

The number which when subtracted from each of the terms of the ratio 19 : 31 reducing it to 1 : 4 is

Solution:

QUESTION: 24

Daily earnings of two persons are in the ratio 4:5 and their daily expenses are in the ratio 7 : 9. If each saves Rs. 50 per day, their daily incomes in Rs. are

Solution:

QUESTION: 25

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 Kms. in 5 hours, the speed of the first train is

Solution:

Speed of second train = Distance travelled / time = 400 /5 = 80 km/hr

Ratio of speeds = 7 :8 = (7/8) :1

If speed of second train is x, then the speed of first train is 7x/8

7x/8 = 7 x 80/8 = 70

So, speed of first train is 70 km/hr

QUESTION: 26

The fourth proportional to 4, 6, 8 is

Solution:

QUESTION: 27

The third proportional to 12, 18 is

Solution:

QUESTION: 28

The mean proportional between 25, 81 is

Solution:

QUESTION: 29

The number which has the same ratio to 26 that 6 has to 13 is

Solution:

QUESTION: 30

The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father is

Solution:

QUESTION: 31

If four numbers 1/2, 1/3, 1/5, 1/x are proportional then x is

Solution:

QUESTION: 32

The mean proportional between 12x^{2} and 27y^{2} is

Solution:

QUESTION: 33

If A = B/2 = C/5, then A : B : C is

Solution:

QUESTION: 34

If a/3 = b/4 = c/7, then a+b+c/c is

Solution:

QUESTION: 35

If p/q = r/s = 2.5/1.5, the value of ps:qr is

Solution:

QUESTION: 36

If x : y = z : w = 2.5 : 1.5, the value of (x+z)/(y+w) is

Solution:

QUESTION: 37

If (5x–3y)/(5y–3x) = 3/4, the value of x : y is

Solution:

QUESTION: 38

If A : B = 3 : 2 and B : C = 3 : 5, then A:B:C is

Solution:

QUESTION: 39

If x/2 = y/3 = z/7, then the value of (2x–5y+4z)/2y is

Solution:

QUESTION: 40

If x : y = 2 : 3, y : z = 4 : 3 then x : y : z is

Solution:

Making y same, we get

x:y = 8 :12 (multiplied by 4)

y:z = 12:9 (multiplied by 3)

**x:y:z = 8:12:9**

### Ratio and Proportion, Indices, Logarithms (Part - 1)

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### Ratio and Proportion, Indices, Logarithms (Part - 1)

Doc | 13 Pages

### Ratio and Proportion, Indices, Logarithms (Part - 2)

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### Ratio and Proportion, Indices, Logarithms (Part - 2)

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