**Aptitude** is another part of **mathematical reasoning**, which tests you ability to measure numerical facts with your accuracy metrics in mathematical calculations. This includes wide range of mathematical reasoning including *pure numerical calculations, graph and table reading, percentage analysis* etc.

Below you can find 10 *aptitude questions with their best possible solutions*, which will help you strongly to prepare yourself for various type of competitive exams like IBPS, Clerical, LIC, UPSC, PSC, and other corporate job.

**Q1.** Sameer divided a number by 2/3 when he required to multiply by 3/2. Which percentage of errors are there in his calculation?

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**Q2.**Randeep engaged on a job for 1 months (30 days) on the condition that he would get a wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for each day of his absence. If he gets Rs. 216 at the end, he was absent for work for how many days?

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Then, 10 * x – 2 * (30 – x) = 216 aaccording to the above condition.

Then, x = 23. So, the number of days he was absent was (30-23) = 7 days.

**Q3.**what is x percent of y divided by y percent of x?

(a) x (b) 1 (c) 5 (d) 20 (d) 100

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y percent of x : (y/100) * x

x percent of y divided by y percent of x : ((x / 100 )*y) / (y/100) * x )) = 1

**Q4.**A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available. males – a, b and c; females – m, n, o and p. All players are of equal ability and there must be at least two males in the team. For a team of four, all players must be able to play with each other under the following restrictions:

b should not play with m,

c should not play with p,

and a should not play with o

Which of the following statements must be false?

1. b and p cannot be selected together

2. c and o cannot be selected together

3. c and n cannot be selected together

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**Q5.**If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?

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**Q6.**If point P is on line segment AB, then which of the following is always true?

(1) AP = PB (2) AP > PB (3) PB > AP (4) AB > AP (5) AB > AP + PB

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**Q7.**Which of the following statements drawn from the given statements are correct?

Given:

All watches sold in that shop are of high standard. Some of the Titan watches are sold in that shop.

a) All watches of high standard were manufactured by Titan.

b) Some of the Titan watches are of high standard.

c) None of the Titan watches is of high standard.

d) Some of the Titan watches of high standard are sold in that shop.

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**Q8.**Eight friends Neelima, Jackson, Rameej, Mangal, Vipin, Milan, Sania, and Ramchandran are sitting in a circle facing the center. Rameej is sitting between Sania and Vipin. Neelima is third to the left of Rameej and second to the right of Ramchandran. Milan is sitting between Ramchandran and Sania. Rameej and Mangal are not sitting opposite to each other. Who is third to the left of Vipin?

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Mangal Rameej

Vipin

**Q9.**The length of the side of a square is represented by y+4. The length of the side of an equilateral triangle is 4y. If the square and the equilateral triangle have equal perimeter,then what will be the value of y will be?

(a) 2 (b) 4 (c) 8 (d) 10 (e) 12

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Since the side of the equilateral triangle is 4y, its perimeter = 3 * 4y = 12y

Also, the perimeters of both are equal.

(i.e.) 4y + 16 = 12y

(i.e.) 8y = 16

(i.e.) y = 2

**Q10.**Which of the following four numbers doesn’t have a reciprocal?

(a) 1 (b) 2 (c) 5 (d) 7 (e) 19