## Averages, Ratio and Proportion Test 1

Instructions

For the following questions answer them individually

Q 1

Two parties A and B contested the 2009 and 2014 elections. B polled twice as many votes in 2014 as in 2009 and its victory margin was three times its loss margin in 2009. If the total number of voters was 3,00,000 in both the elections, how many votes did B poll in 2009?(Assume everyone voted in elections)

Q 2

If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?

Q 3

A ratio is equal to 19:29 and the sum of its antecedent and consequent is 1872, then find difference between squares of antecedent and consequent?

Q 4

Two poles 4m and 6m length are inclined 45° towards the east. If P is the point of intersection of lines joining the top of each pole to the bottom of other pole, what is the vertical distance (in meters)of P from the ground?

Q 5

Consider three mixtures — the first having water and liquid A in the ratio 1:2, the second having water and liquid B in the ratio 1:3, and the third having water and liquid C in the ratio 1:4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4: 3: 2. Then the resulting mixture has