6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Explanation:

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1 43808

Q:

If $x^{2} + kx + k = 0$ has repeated roots, then the value of k will satisfy :

A) k<0 or k>4	B) k=4 only
C) 0<k<4	D) k=4 or k=0

Answer & Explanation Answer: D) k=4 or k=0

Explanation:

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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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Q:

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :

A) 4000	B) 5000
C) 6000	D) 7000

Answer & Explanation Answer: A) 4000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

Let their capitals be 5x, 3x and 2x respectively.

Then, 5x = 10000

=> x = 2000.

C's capital = 2x = Rs. 4000.

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Filed Under: Partnership

39 43747

Q:

Determine the value of $\frac{x + y}{x + 2 y} when \frac{2 x + y}{x + 4 y} = 3 .$

A) 3/5	B) 7/10
C) 4/5	D) 9/10

Answer & Explanation Answer: D) 9/10

Explanation:

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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
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

3 43670

Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph	B) 25 kmph
C) 30 kmph	D) 50 kmph

Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

49 43668

Q:

$What is the value of (2 + \tan 60^{0}) ?$

A) 3	B) 2/√3
C) 4/√3	D) 2+√3

Quantitative Aptitude - Arithmetic Ability Questions

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