CAFC C-1 Ratio,Proportion, Indices and Logarithm

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

• 12,18

• 16, 24

• 14, 21

• None of these

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

•  $\frac{p}{p+q}$  

•  $\frac{q}{p+q}$  

•  $\frac{q}{p-q}$  

• None of these

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

• $10\frac{2}{3}Kgs$

• $10\frac{1}{3}\ Kgs$

• $9\frac{2}{3}\ Kgs$

• $9\ Kgs$

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

• 0

• 1

• Log 2

• Log 3

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

• 14, 16

• 24, 27

• 21, 24

• 16, 18

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:

• 64

• 32

• 16

• 14

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:

• 1/56

• 1/8

• 1/7

• None of these

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:

• 102, 136, 170

• 136, 102, 170

• 170, 102, 136

• None of these

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?

• Rs. 21000

• Rs. 26000

• Rs. 28000

• Data In adequate

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:

• 22:27

• 27:22

• 32:33

• Data In adequate