Free Printable CAFC C-1 Ratio,Proportion, Indices and Logarithm

1.

Two numbers in the ratio 2:3 & the difference of their squares is 320. The numbers are:

a)

12,18

b)

16, 24

c)

14, 21

d)

None of these

2.

If p:q is the sub-duplicate ratio of p – x2: q – x2, then x2 is:

a)

$\frac{p}{p+q}$

b)

$\frac{q}{p+q}$

c)

$\frac{q}{p-q}$

d)

None of these

3.

An alloy is to contain copper and zinc in the ratio 9:4. The zinc required to melt with 24kg of copper is:

a)

$10\frac{2}{3}Kgs$

b)

$10\frac{1}{3}\ Kgs$

c)

$9\frac{2}{3}\ Kgs$

d)

$9\ Kgs$

4.

7 log (16/15) + 5 log (25/24) + 3 log (81/80) is equal to:

a)

0

b)

1

c)

Log 2

d)

Log 3

5.

Two numbers are in the ratio 7:8. If 3 is added to each of them, their ratio becomes 8:9. The numbers are:

a)

14, 16

b)

24, 27

c)

21, 24

d)

16, 18

6.

A box contains Rs. 56 in the form of coins of one rupee, 50 paise and 25 paise. The number of 50 paise coin is double the number of 25 paise coins & four times the numbers of one rupee coins. The number of 50 paise coins in the box is:

a)

64

b)

32

c)

16

d)

14

7.

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement & the others share equally entire cost of the car, then the share of each of the remaining persons increased by:

a)

1/56

b)

1/8

c)

1/7

d)

None of these

8.

A bag contains Rs. 187 in the form of 1 rupee, 50 paise & 10 paise coins in the ratio 3:4:5. Find the number of each type of coins:

a)

102, 136, 170

b)

136, 102, 170

c)

170, 102, 136

d)

None of these

9.

Ratio of earnings of A & B is 4:7. If the earnings of A increase by 50% & those of B decrease by 25%, the new ratio of their earning becomes 8:7. What is A’s earning?

a)

Rs. 21000

b)

Rs. 26000

c)

Rs. 28000

d)

Data In adequate

10.

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

a)

22:27

b)

27:22

c)

32:33

d)

Data In adequate

11.

Two numbers are in ratio 6:13 and the least Common multiple is 312, the sum of the number is

a)

75

b)

57

c)

76

d)

67

12.

If 2^x x 3^y x 5^z = 360 Then what is value of x, y, z.?

a)

3, 2, 1

b)

1, 2, 3

c)

2, 3, 1

d)

1, 3, 2

13.

Find the value of $\left\{\log_{10}\sqrt{25}\ -\ \log_{10}\ \left(2^3\right)\ +\ \log_{10}\left(4^2\right)\right\}^x$

a)

x

b)

10

c)

1

d)

9

14.

If 2^x-2^x-1= 4 then x^x is equal to:

a)

7

b)

3

c)

27

d)

9

15.

If log_ab + log_ac = 0 then

a)

b = c

b)

b = -c

c)

b = c = 1

d)

b and c are reciprocals

16.

What must be added to each term of the ratio 49:68, so that it becomes 3:4?

a)

3

b)

5

c)

8

d)

9

17.

The students of two classes are in the ratio 5:7, if 10 students left from each class, the remaining students are in the ratio of 4:6 then the number of students left in each class is:

a)

30 , 40

b)

25 , 24

c)

40 , 60

d)

50, 70

18.

The value of

2 log x + 2 log x² + 2 log x³ + -------- = 2 log xⁿ will be:-

a)

$\frac{n\ \left(n\ +\ 1\ \right)\ Log\ x}{2}$

b)

$n\ \left(n\ +\ 1\ \right)\ Log\ x$

c)

$n^{2\ }Log\ x$

d)

None of these

19.

The recurring decimal 2.7777………. can be expressed as

a)

24/9

b)

22/9

c)

26/9

d)

25/9

20.

If A:B = 2:5, then (10A+3B): (5A+2B) is equal to

a)

7:4

b)

7:3

c)

6:5

d)

7:9

CAFC C-1 Ratio,Proportion, Indices and Logarithm

Total questions: 20

Worksheet time: 20mins

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