**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