6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the probability of getting 53 Mondays in a leap year?

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

Answer & Explanation Answer: C) 2/7

Explanation:

1 year = 365 days . A leap year has 366 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364days

366 – 364 = 2 days

In a leap year there will be 52 Sundays and 2 days will be left.

These 2 days can be:

1. Sunday, Monday

2. Monday, Tuesday

3. Tuesday, Wednesday

4. Wednesday, Thursday

5. Thursday, Friday

6. Friday, Saturday

7. Saturday, Sunday

Of these total 7 outcomes, the favourable outcomes are 2.

Hence the probability of getting 53 days = 2/7

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Filed Under: Probability

148 33205

Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64	B) 57
C) 29	D) 14

Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ?

It follows a pattern that,

$96 96 - 1^{2} = 95 95 - 2^{3} = 95 - 8 = 87 87 - 3^{2} = 87 - 9 = 78 78 - 4^{3} = 78 - 64 = 14$

Hence, the next number in the given number series is 14.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 33204

Q:

Which of the following value of 'x' satisfies the equation

$4^{x - 1} . 9^{2 x - 6} = 5184$

A) 2	B) 3
C) 4	D) 6

Answer & Explanation Answer: C) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 33133

Q:

The angle between the minute hand and the hour hand of a clock when the time is 8:30

A) 80 Degrees	B) 75 Degrees
C) 60 Degrees	D) 105 Degrees

Answer & Explanation Answer: B) 75 Degrees

Explanation:

Angle traced by hour hand in 17/2 hrs = ${(\frac{360}{12} \times \frac{17}{2})}^{o}$ = 255

Angle traced by min hand in 30 min = ${(\frac{360}{60} \times 30)}^{o}$ = 180

Therefore, Required angle = (255 - 180) = $75^{o}$

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Filed Under: Clocks

76 33120

Q:

The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:

A) 25	B) 30
C) 45	D) cannot be determined

Answer & Explanation Answer: B) 30

Explanation:

pool : kerosene

3 : 2(initially)

2 : 3(after replacement)

$\frac{R e m a i n i n g Q u a n t i t y}{I n i t i a l Q u a n t i t y} = (1 - \frac{R e p l a c e d Q u a n t i t y}{T o t a l Q u a n t i t y})$

(for petrol) $\frac{2}{3} = (1 - \frac{10}{k})$

=> K = 30

Therefore the total quantity of the mixture in the container is 30 liters.

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Filed Under: Alligation or Mixture

83 33108

Q:

The diagonal of a rectangle is $\sqrt{41}$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

A) 18	B) 28
C) 38	D) 48

Answer & Explanation Answer: A) 18

Explanation:

$\sqrt{(l^{2} + b^{2})} = \sqrt{41}$ (or) $l^{2} + b^{2} = 41$

Also, $l b = 20$

${(l + b)}^{2} = l^{2 +} b^{2} + 2 l b$ = 41 + 40 = 81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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Filed Under: Area
Exam Prep: CAT , Bank Exams , AIEEE
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127 33087

Q:

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

A) 5600	B) 600
C) 6400	D) 7200

Answer & Explanation Answer: C) 6400

Explanation:

No. of bricks= volume of the wall/volume of 1 brick

= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

62 33070

Q:

Find the wrong number in the given number series?

5, 8, 40, 90, 664

A) 8	B) 40
C) 90	D) 664

Answer & Explanation Answer: B) 40

Explanation:

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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6 33062

Quantitative Aptitude - Arithmetic Ability Questions

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