6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $3 x + 7 = x^{2} + p = 7 x + 5$ , what is the value of P ?

A) 17/2	B) 25/3
C) 33/4	D) 41/5

Answer & Explanation Answer: A) 17/2

Explanation:

$3 x + 7 = 7 x + 5 = > 7 x - 3 x = 2 = > 4 x = 2 = > x = 2$

Now, $3 x + 7 = x^{2} + p = \frac{3}{2} + 7 = \frac{1}{4} + p = > p = \frac{17}{2}$

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Filed Under: Simplification

11 12643

Q:

Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is

A) 22m/s	B) 33m/s
C) 44m/s	D) 55m/s

Answer & Explanation Answer: A) 22m/s

Explanation:

let each wheel make x revolutions per sec. Then $[(2 π * \frac{7}{2} * x) + (2 π * 7 * x)] * 10 = 1980$ $(2 * \frac{22}{7} * \frac{7}{2} * x) + (2 * \frac{22}{7} * \frac{7}{2} * x) = 198$

$66 x = 198$

distance moved by smaller wheel in 3 revolutions

= $2 * \frac{22}{7} * \frac{7}{2} * 3 = 66 c m$

speed of smaller wheel = $\frac{66}{3}$ m/s = 22m/s

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

5 12643

Q:

Select the odd figure out of the given series.

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

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 12641

Q:

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A) 4	B) 10
C) 15	D) 16

Answer & Explanation Answer: D) 16

Explanation:

L.C.M. of 2, 4, 6, 8, 10, 12 is 120.

So, the bells will toll together after every 120 seconds(2 minutes).

In 30 minutes,they will together (30/2)+1=16 times

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Filed Under: HCF and LCM

20 12632

Q:

The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?

A) 225 deg	B) 210 deg
C) 205 deg	D) 245 deg

Answer & Explanation Answer: A) 225 deg

Explanation:

Angle of triangle = 180 × 3/12

= 45 deg

Other angles of the triangle are = 60 deg, 75 deg

Angle of quadrilateral

= 360 - (45 + 60 + 75)

= 180 deg

Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.

Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 12625

Q:

Select the odd term out of the following.

0.02, 0.020, 2/100, 0.002

A) 0.002	B) 0.020
C) 0.02	D) 2/100

Answer & Explanation Answer: A) 0.002

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 12620

Q:

The total surface area of a hemisphere is 1039.5 cm2. Find its diameter (in cm).

A) 21	B) 10.5
C) 42	D) 31.5

Answer & Explanation Answer: A) 21

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 12607

Q:

Which of the following represents the sides of an acute angled triangle?

A) 6, 9, 16	B) 7, 8, 10
C) 5, 12, 13	D) None of these

Quantitative Aptitude - Arithmetic Ability Questions

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