Q5. 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was:
Sol. Let the total number of votes be 100.
Number of cast votes = 100-8 = 92
so Number of votes obtained by the winner = 48
Number of votes obtained by the loser = 92 – 48 = 44
If the difference of win be 4 votes, total voters = 100
so When the difference be 1100 votes, total voters
= 100/4 * 1100 = 27500
Q6. Which of the following number is exactly divisible by both 5 and 9?
Sol. For divisibility of 5 last number must be divisible by 0 or 5
So only option (b) and (c) satisfied.
For divisibility of 9, sum of digit must be divisible by 9, but here 3 + 9 + 2 + 0 is not divisible by 9 4275; It being the only option left, is the answer.
Q7. The largest number of four digit exactly divisible by 88 is.
Sol. A number is divisible by 88. If it is divisible by 8 and 11.
So only number 9944 and 8888 only.
Bigger number between them = 9944
Hence, option (a) is correct.
Q8. A is thrice as good as workman as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in:
(a) 120/7 days
(c) 25 days
(d) 30 days
Sol. Let A can finish the whole work in x days
so B can finish the same work in 3x days.
According to question.
3x – x = 60
so x = 30 days
so A can finish the work in 30 days and B can finish the same work in 90 days.
so (A + B)’s one day’s work = 1/30 + 1/90 = 4/90
so (A + B)’s can finish the complete work in = 90/4 days.
Q9. Area of a rectangular field is 3584 m^2 and the length and the breadth are in the ratio 7: 2, respectively. What is the perimeter of the rectangle?
(a) 246 m
(b) 292 m
(c) 286 m
(d) 288 m
Sol. Area of rectangular = length × breadth
So, perimeter =2(l+b)=2(7x+2x)