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:
(a) 21000
(b) 23500
(c) 22000
(d) 27500
S5. Ans.(d)
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?
(a) 2468
(b) 3920
(c) 4725
(d)3789
S6. Ans.(c)
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.
(a) 9944
(b) 8888
(c) 9988
(d) 9999
S7. Ans.(a)
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
(b) 90/4days
(c) 25 days
(d) 30 days
S8. Ans.(b)
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
S9. Ans.(d);
Sol. Area of rectangular = length × breadth
3584=7x×2x
x=16 m
So, perimeter =2(l+b)=2(7x+2x)
=288 m
