6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$\frac{{(0.3)}^{3} + {(0.2)}^{3}}{{(0.3 - 0.2)}^{2}} = ?$

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

Answer & Explanation Answer: C) 7/2

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0 31195

Q:

What is the value of (sin45 - √3) ?

A) (1-√6)/√2	B) (4-√3)/2√3
C) -1/2√3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (1-√6)/√2

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Q:

If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
C) 35/12	D) 12/5

Answer & Explanation Answer: C) 35/12

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Q:

The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is:

A) 4.5	B) 5
C) 6	D) 9 1/3

Answer & Explanation Answer: C) 6

Explanation:

A : C

Efficiency 5 : 3

No of days 3x : 5x

Given that, 5x-6 =3x => x = 3

Number of days taken by A = 9

Number of days taken by C = 15

B : C

Days 2 : 3

Therefore, Number of days taken by B = 10

Work done by B and C in initial 2 days = $2 [\frac{1}{10} + \frac{1}{15}]$ = 1/3

Thus, Rest work =2/3

Number of days required by A to finish 2/3 work = (2/3) x 9 = 6 days

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81 31097

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

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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

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Q:

If x + y + z = 6 and xy + zx + zy = 10, then find the value of $x^{3} + y^{3} + z^{3} - 3 xyz$

A) 16	B) 26
C) 36	D) 46

Answer & Explanation Answer: C) 36

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Q:

ΔXYZ is right angled at Y. If sinX = 4/5, then what is the value of cosZ ?

A) 3/4	B) 5/3
C) 4/5	D) 4/3

Quantitative Aptitude - Arithmetic Ability Questions

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