6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is

A) 35.55 km/hr	B) 36 km/hr
C) 71.11 km/hr	D) 71 km/hr

Answer & Explanation Answer: C) 71.11 km/hr

Explanation:

Total time taken = (160/64 + 160/8)hrs
= 9/2 hrs.

Average speed = (320 x 2/9) km.hr
= 71.11 km/hr.

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152 57213

Q:

If $y = 1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3}$ then find the value of y - 1.

A) 429	B) 439
C) 440	D) 441

Answer & Explanation Answer: C) 440

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 57186

Q:

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A) 1/15	B) 1/221
C) 25/57	D) 35/256

Answer & Explanation Answer: B) 1/221

Explanation:

Let S be the sample space

Then, n(S) = $52 C_{2}$ = 1326.

Let E = event of getting 2 kings out of 4.

n(E) = $\frac{52 * 51}{2 * 1}$ = 6.

$4 C_{2}$

=> $\frac{4 * 3}{2 * 1}$

$P (E) = \frac{n (E)}{n (S)} = \frac{6}{1326} = \frac{1}{221}$

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Filed Under: Probability

44 57085

Q:

The two equations x - 4y = 0 and 4x + 3y = 19 have a solution (a, b). Find the value of $\frac{ab}{a + 4 b}$ .

A) 1/4	B) 1/2
C) 1	D) 23

Answer & Explanation Answer: B) 1/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 57077

Q:

If Sinx = 4/5, then $1 + {Tan}^{2} x =$

A) 9/25	B) 25/16
C) 4/25	D) 25/9

Answer & Explanation Answer: D) 25/9

Explanation:

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1 57016

Q:

Find the factors of $(x^{2} + x - 42)$

A) (x + 14)(x - 3)	B) (x + 6)(x - 7)
C) (x - 6)(x + 7)	D) (x - 14)(x + 3)

Answer & Explanation Answer: C) (x - 6)(x + 7)

Explanation:

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Exam Prep: AIEEE , Bank Exams

0 56877

Q:

If x = 0.139, then what is the value of $\sqrt{4 x^{2} + 4 x + 1}$ ?

A) 1.39	B) 1.278
C) 2.139	D) 1.69

Answer & Explanation Answer: B) 1.278

Explanation:

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0 56800

Q:

What is the place value of 6 in 64?

A) 6	B) 60
C) 64	D) 10

Answer & Explanation Answer: B) 60

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

Hence, the place value of 6 in 64 = 6 x 10 = 60.

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Filed Under: Problems on Numbers
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229 56697

Quantitative Aptitude - Arithmetic Ability Questions

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