6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of $x^{3} + y^{3} + z^{3}$ ?

A) 104	B) 144
C) 196	D) 288

Answer & Explanation Answer: D) 288

Explanation:

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Filed Under: Simplification
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Q:

On a machine there is 10% trade discount on the marked price of Rs 2,50,000. But the machine is sold at Rs 2,16,000 after giving a cash discount. How much is this cash discount (in %)?

A) 5	B) 4
C) 6	D) 7

Answer & Explanation Answer: B) 4

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

A) 3	B) 4
C) 5	D) 6

Answer & Explanation Answer: B) 4

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Q:

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$I . 2 x^{2} - 13 x - 189 = 0 II . 2 y^{2} - 3 y - 189 = 0$

A) x>y	B) x≥y
C) x<y	D) x≤y

Answer & Explanation Answer:

Explanation:

I. 2x2 - 13x - 189 = 0 2x2 - 27x + 14x - 189 = 0 x(2x - 27) + 7(2x - 27) = 0 x = -7, 27/2

II. 2y2 - 3y - 189 = 0 2y2 - 21y + 18y - 189 = 0 y(2y - 21) + 9(2y - 21) = 0 y = -9, 21/2

When x, as well as y, have both positive and negative values then no relationship can be established between them because if we consider x to be positive then the negative value of y will be lesser than x. If we consider x to be negative then positive value of y will be greater than x.

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Q:

A's income is Rs 140 more than B's income and C's income is Rs 80 more than D's. If the ratio of A's and C's income is 2:3 and the ratio of B's and D's income is 1:2, then the incomes of A, B, C and D are respectively

A) Rs 260, Rs 120, Rs 320 and Rs 240	B) Rs 300, Rs 160, Rs 600 and Rs 520
C) Rs 400, Rs 260, Rs 600 and Rs 520	D) Rs 320, Rs 180, Rs 480 and Rs 360

Answer & Explanation Answer: C) Rs 400, Rs 260, Rs 600 and Rs 520

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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

A does 30% of a work in 30 days. He then calls in B and they together finish the remaining work in 20 days. How long B alone would take to do the whole work?

A) 40 days	B) 80 days
C) 120 days	D) 20 days

Answer & Explanation Answer: A) 40 days

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Filed Under: Time and Work
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Q:

What is the simplified value of $\sec^{6} A - \tan^{6} A - 3 \sec^{2} A \tan^{2} A$ ?

A) -1	B) 0
C) 1	D) sec A tan A

Answer & Explanation Answer: C) 1

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Q:

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

A) 8	B) 6
C) 10	D) 9

Quantitative Aptitude - Arithmetic Ability Questions

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