PRATICE TEST ON RATIO AND PROPORTION FOR CA FOUNDATION

Problem 1 :

If 23=46, then if 24=36 is by

(a) invertendo  (b) componendo        (c) dividend

(d) alternendo

Solution

Problem 2 :

If the salary of P is 25% lower than that of Q and salary of R is 20% highest than that of Q the ratio of the salary of R and P will be.

(a) 5 : 8     (b) 5 : 3         (c) 8 : 5        (d) 3 : 5

Solution

Problem 3 :

log(1/5) 625 = 

(a) 4      (b) -4       (c) 25     (d) -25

Solution

Problem 4 :

If x = 1 + √2, then (1 + x)(1 - x) is equal to

(a) -2 - 2√2     (b) 2 + √2       (c) 2 + 2√2         (d) 2 - 2√2

Solution

Problem 5 :

The third proportional to 49 and 21 is

(a) 49        (b) 21          (c) 9           (d) 3

Solution

Problem 6 :

If 14log2 a=16log2 b=-124log2 c the value of a3b2c is

(a) 0           (b) 1          (c) -1        (d) None

Solution

Problem 7 :

Find the value of : [1 - {1 - (1 - x2)-1}-1]-1/2 

(a) 1/x         (b) x            (c) 1          (d) none of these

Solution

Problem 8 :

4, *, 9, 13 1/2 are in proportion. Then * is

(a) 6            (b) 8               (c) 9           (d) none of these

Solution

Problem 9 :

The value of log66 is

(a) 0           (b) 1              (c) 2         (d) none of these

Solution

Problem 10 :

Simplified value of (27)2/3×9×393×912 is

(a) 9           (b) 1/9          (c) 1       (d) none of these

Solution

Answer Key

1) alternendo property

2)  8 : 5

3)  -4

4)  -2√2 - 2

5)  C=9

6)  1

7)  x

8)  6

9)  1

10)  729

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