6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

A) 1/7	B) 2/7
C) 3/7	D) 2/5

Answer & Explanation Answer: B) 2/7

Explanation:

P(getting prize) = 10/ (10 + 25) =2/7

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Filed Under: Probability

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Q:

Two concentric circles form a ring. The inner and outer circumferences of ring are $\frac{518}{7}$ m and $\frac{352}{7}$ m respectively. Find the width of the ring.

A) 4	B) 5
C) 6	D) 7

Answer & Explanation Answer: A) 4

Explanation:

Let the inner and outer radii be r and R metres.

Then $2 πR = \frac{352}{7} = > R = \frac{352}{7} * \frac{7}{22} * \frac{1}{2} = 8 m$

$2 πR = \frac{528}{7} = > R = \frac{528}{7} * \frac{7}{22} * \frac{1}{2} = 12 m$

=> Width of the ring = (R - r) = (12 - 8) m = 4 m.

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Filed Under: Area
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0 7743

Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm	B) 5cm
C) 3cm	D) 4cm

Answer & Explanation Answer: A) 6cm

Explanation:

A=lb

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Exam Prep: Bank Exams
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0 7739

Q:

Ishikha got married 9 years ago. Today her age is 4/3 times her age at the time of marriage. At present her daughter’s age is one-sixth of her age. What was her daughter’s age three years ago?

A) 4 years	B) 3 years
C) 2 years	D) 1 year

Answer & Explanation Answer: B) 3 years

Explanation:

Let Ishika and her daughter present ages be p and q

From the given data,

p = 4/3(p - 9)

=> p = 36 years

Hence, Ishika's present age = 36 years and

Her daughter's present age = 1/6 x 36 = 6 years

Now, required her daughter’s age three years ago = 6 - 3 = 3 years.

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Filed Under: Problems on Ages
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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13 7737

Q:

A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

A) 1/6	B) 2/3
C) 14/33	D) 5/6

Answer & Explanation Answer: B) 2/3

Explanation:

Possible outcomes = (RY, YP, PR)

2C1 4C1 + 4C1 6C1 + 6C1 2C1

Required probability = (2C1 4C1 + 4C1 6C1 + 6C1 2C1)/(12C2)

= 8 + 24 + 12/66

= 44/66

= 2/3.

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Filed Under: Probability
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54 7734

Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32	B) 42
C) 62	D) 92

Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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Filed Under: Area
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0 7723

Q:

Arrange the fractions in ascending order

A) 5/8 < 7/12 < 3/4 < 13/16	B) 5/8 < 7/12 < 13/16 < 3/4
C) 5/8 < 3/4 < 13/16 < 7/12	D) 7/12 < 5/8 < 3/4 < 13/16

Answer & Explanation Answer: D) 7/12 < 5/8 < 3/4 < 13/16

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4 < 13/16

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Filed Under: Decimal Fractions

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Q:

54.327 x 357.2 x 0.0057 is same as

A) 5.4327 x 3.572 x5.7	B) 5.4327 x 3.572 x0.57
C) 54327 x 3572 x 0.0000057	D) None of these

Answer & Explanation Answer: A) 5.4327 x 3.572 x5.7

Explanation:

Number of decimal places in the given expression = 8

Number of decimal places in (A) = 8

Number of decimal places in (B) = 9

Number of decimal places in (C)= 7

Clearly , the expresssion in (A) is the same as the given Expression.

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Filed Under: Decimal Fractions

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Quantitative Aptitude - Arithmetic Ability Questions

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