6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x(2x + 3) = 90 and $7 y^{- 1 / 2} + 2 y^{- 1 / 2} = y^{1 / 2}$ (x and y are positive numbers), then what is the value of $x^{2} + y^{2}$ ?

A) 45	B) 109
C) 117	D) 126

Answer & Explanation Answer: C) 117

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If m+n=1, then the value of $m^{3} + n^{3} + 3 m n$ is equal to

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

3/5 as a decimal fraction?

A) 0.25	B) 0.45
C) 0.60	D) 0.75

Answer & Explanation Answer: C) 0.60

Explanation:

Given fraction is 3/5

Now, multiply with 2 for numerator and denominator

we get,

3/5 x 2/2 = 6/10

When we divide, 6 with 10, we get 0.6 as quotient.

Hence, 3/5 as a decimal fraction is 0.6.

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Filed Under: Decimal Fractions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

Ravi invested Rs.P in a scheme A offering simple interest at 10% p.a. for two years. He invested the whole amount he received from scheme A, in another scheme (B) offering simple interest at 12% p.a. for five years. If the difference between the interests earned from schemes A and B was Rs. 13,00/, what is the value of P ?

A) 2500	B) 2000
C) 3000	D) 3500

Answer & Explanation Answer: A) 2500

Explanation:

It is given that the initial amount invested in scheme A is Rs P at 10%per Annum S.I. =PTR/100 = P x 10 x 2/100 Now the total amount after 2 years is = 1.2P New Rate of interest = 12% per annum Time = 5 years S.I for next 5 years when new principal amount is 1.2 P = 1.2Px12x5/100 = 0.72P Total amount after 5 years at 12% per annun = 1.72P Given that 1.72P - 1.2P = 1300 P = 1300/0.52 P = Rs. 2500

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Filed Under: Simple Interest

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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

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A) 75 days	B) 37.5 days
C) 17.5 days	D) 35 days

Answer & Explanation Answer: B) 37.5 days

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?

A) 12/π+4	B) 6/π+4
C) 3/π+4	D) 6/π+2√2

Answer & Explanation Answer: B) 6/π+4

Explanation:

As it is clear that 2r = a where a is the side of the square and

R is the radius of circle

It is given that 2πr + 4a = 12

a = 12/(π+4)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a = √2 + 1, b = √2 - 1 then the value of $((\frac{1}{a + 1} + \frac{1}{b + 1}))$ ?

A) 0	B) 1
C) 2	D) 3

Quantitative Aptitude - Arithmetic Ability Questions

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