# RATIO PROPORTION INDICES AND LOGARITHMS CA FOUNDATION PRACTICE TEST

Problem 1 :

In 40 litres mixture of glycerine and water, the ratio of glycerine and water is 3 : 1. The quantity of water added in the mixture in order to make this ratio 2 : 1 is

(a) 15 litres    (b) 10 litres        (c) 8 litres     (d) 5 litres

Solution

Problem 2 :

pa-b × pb-c × pc-a is equal to

(a) p                (b) 1           (c) 0         (d) none of these

Solution

Problem 3 :

(a) m + n = 1     (b) m/n = 1      (c) m - n = 1    (d) m2 - n2 = 1

Solution

Problem 4 :

The compounded into of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3 and sub duplicate ratio of 9 : 64 is

(a) 2 : 7      (b) 7 : 2      (c) 1 : 36        (d) none of these

Solution

Problem 5 :

If 2x - 2x-1 = 32, then the value of x is

(a) 4     (b) 5     (c) 6     (d) 7

Solution

Problem 6 :

The integral part of a logarithm is called _____, and the decimal part of a logarithm is called _____.

(a) Mantissa, Characteristic       (b) Characteristic, Mantissa

(c) Whole, Decimal         (d) None of these

Solution

Problem 7 :

Given log 2 = 0.3010 and log 3 = 0.4771 then the value of log 24

(a) 1.3081     (b) 1.1038     (c) 1.3801      (d) 1.8301

Solution

Problem 8 :

(a) 3    (b) 0      (c) 2      (d) 1

Solution

Problem 9 :

In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is :

(a) 9      (b) 16       (c) 20        (d) 24

Solution

Problem 10 :

(a) 2         (b) 3          (c) 4         (d) 6

Solution

1)  x = 5 litres

2)  1

3)  m + n = 1

4)  1 : 96

5)  x = 6

6)  Characteristic, Mantissa

7)  1.3801

8)  a3+3a-2 = 0

9)  x = 16

10)  2

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