6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the missing number in the given number series?

514, 470, ?, 415, 404

A) 441	B) 437
C) 426	D) 420

Answer & Explanation Answer: B) 437

Explanation:

Given number series is 514 470 ? 415 404

Here the pattern it follows is

514

514 - 44 = 470

470 - 33 = 437

437 - 22 = 415

415 - 11 = 404

Hence, the missing number in the given number series is 437.

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Q:

Find the wrong number in the given number series?

10, 21, 54, 109, 189

A) 189	B) 109
C) 54	D) 21

Answer & Explanation Answer: A) 189

Explanation:

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

Hence the wrong number in the given number series is 189.

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Q:

Solve the following :

(-4){19 - (-2) x (-8)} = ?

A) 12	B) -140
C) 140	D) -12

Answer & Explanation Answer: D) -12

Explanation:

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Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

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

Answer & Explanation Answer: C) 3

Explanation:

Area of the park = (60 x 40) = 2400 $m^{2}$

Area of the lawn = 2109 $m^{2}$

Area of the crossroads = (2400 - 2109) = 291 $m^{2}$

Let the width of the road be x metres. Then,

$60 x + 40 x - X^{2} = 291$

$x^{2} - 100 x + 291 = 0$

(x - 97)(x - 3) = 0
x = 3.

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86 79674

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

A) one	B) two
C) three	D) four

Answer & Explanation Answer: C) three

Explanation:

Sec of any number can never be less than 1

tan can take any value from -∞ to + ∞

cosec of any number can never be less than 1

cos of any number can never be greater than 1

so option 1,3,4 are not possible

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Q:

Solve the following : 80÷[48−56−(60−36÷12×4)]=?

A) 5	B) 8
C) 4	D) 2

Answer & Explanation Answer: D) 2

Explanation:

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Q:

If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: B) 120

Explanation:

let length = x and breadth = y then

2(x+y) = 46 => x+y = 23

x²+y² = 17² = 289

now (x+y)² = 23²

=> x²+y²+2xy= 529

=> 289+ 2xy = 529

=> xy = 120

area = xy = 120 sq.cm

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287 79226

Q:

Find the odd man out in the following number series?

71, 88, 113, 150, 203, 277

A) 277	B) 203
C) 150	D) 113

Answer & Explanation Answer: A) 277

Explanation:

The given number series is

71 88 113 150 203 277

+17 +25 +37 +53 +74

+8 +12 +16 +21

+4 +4 +5

The series should be 71 88 112 150 203 276 i.e, the differences of the difference should be +4.

Hence, the odd man in the given series is 277.

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