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A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

A.

30

B.

23

C.

17

D.

13

Answer with explanation

Answer: Option BExplanation

Let the number of apples be 100.

On the first day he sells 60% apples ie.,60 apples. Remaining apples =40.

He throws 15% of the remaining i.e., 15% of 40 = 6.Now he has 40 – 6 = 34 apples

The next day he throws 50% of the remaining 34 apples i.e., 17.

Therefore, in all, he throws 6 + 17 =23 apples.

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In an election two candidates contested. A candidate secured 70% of the valid votes and is elected by a majority of 172 votes. Find the total number of valid votes.

A.

570

B.

430

C.

430

D.

480

Answer with explanation

Answer: Option CExplanation

Let the total number of valid votes be ‘x’

70% of x = 70/100 *x = 7x/10

Number of votes secured by the other candidate = x-7x/10 = 3x/10

Given, 7x/10-3x/10 = 172

4x/10 = 172

4x = 1720

x = 1720/4 = 430

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What percentage of numbers from 1 to 70 have 1 or 9 in the unit’s digit?

A.

21

B.

14

C.

20

D.

1

Answer with explanation

Answer: Option CExplanation

Clearly, the numbers which have 1 or 9 in the unit’s digit, have squares that end in the digit 1.

Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.

Number of such number =14

Required percentage = (14/70 x 100)% = 20%.

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