Aptitude and Reasoning Questions

Given in municipality election 54% votes have won by 1080

Let the total number of votes be x.

 54x100 - 46x100 = 1080

8x = 108000

x = 13,500

Therefore, total number of votes = 13,500.

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones =  9 + 6 = 15

Hence,

3/4 ----- 15

 1   -----  ?

=> 15 x 4/3 = 20.

Hence, total number of stones in the box = 20.

The given series is 9 81 ? 6561 59049

It follows a pattern that

9

81 = 9 x 9

729 = 9 x 9 x 9

6561 = 9 x 9 x 9 x 9

59049 = 9 x 9 x 9 x 9 x 9

Hence, the missing number in the series is 729.

The letters move five steps forward.

We are not given a value of P in this problem, so either pick a value

for P and stick with that throughout the problem, or just let P = P.

We have that t = 1, and r = .055. To find the effective rate of interest,

first find out how much money we have after one year:

A = Pert

A = Pe(.055)(1)

A = 1.056541P.

Therefore, after 1 year, whatever the principal was, we now have 1.056541P.

Next, find out how much interest was earned, I, by subtracting the initial amount of money from the final amount:

I = A − P

  = 1.056541P − P

  = .056541P.

Finally, to find the effective rate of interest, use the simple interest formula, I = Prt. So,

I = Pr(1) = .056541P

.056541 = r.

Therefore, the effective rate of interest is 5.65%

Except mirage, all others are sources of water.

Let the distance travelled by Tilak in first case or second case = d kms

Now, from the given data,

d/20 = d/22 + 36 min

=> d/20 = d/22 + 3/5 hrs

=> d = 132 km.

Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.

The numbers in the first row form a series 1², 2², 3².
So, missing number in the first row = 4² = 16.
The number in the second row from the series, 1, 2, 3, 4.
The number in the third row from the series 2, 4, 6.
So, missing number in the third row = 6 + 2 = 8.