Simple Arithmetic Questions and Answers for Competitive Exams - 1

Question: 1

An enterprising businessman earns an income of Re. 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. One the 10th day of business, his income is

(A) Rs. 2⁸

(B) Rs. 2⁹

(D) 10¹²

View Answer

Ans: B

Income on the first day = Re. 1.

Income on the 2nd day = Rs. (1 x 2) = Rs. 2¹.

Income of the 3rd day = Rs. (2¹ x 2) = Rs. 2² and so on.

Thus Income on the nth day = Rs. 2^n-1.

∴ Income on the 10th day = Rs. 2⁹.

Question: 2

Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?

(A) 10 years

(B) 37 years

(D) 39 years

View Answer

Ans: C

Clearly, we have to first find two numbers whose difference is 2 and of which the smaller one is a perfect square and the bigger one a perfect cube.

Such numbers are 25 and 27.

Thus, Nitin is now 26 years old. Since the next perfect cube after 27 is 64.

so required time period = (64 - 26) years = 38 years.

Question: 3

A shepherd had 17 sheep. All but nine died. How many was he left with?

(A) 7

(B) 8

(D) 10

View Answer

Ans: C

'All but nine died' means 'All except nine died' i.e. 9 sheep remained alive.

Question: 4

A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?

(A) 7

(B) 9

(D) 14

View Answer

Ans: B

'There were all sparrows but six' means that six birds were not sparrows but only pigeons and ducks. Similarly, number of sparrows + number of ducks = 6 and number of sparrows + number of pigeons = 6. This is possible when there are 3 sparrows, 3 pigeons and 3 ducks i.e. 9 birds in all.

Simple Arithmetic Questions and Answers for Competitive Exams - 1

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