6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a= $x^{\frac{1}{3}} y^{\frac{1}{3}} + x^{\frac{- 1}{3}} y^{\frac{- 1}{3}}$ then $a^{3} - 3 a y - x$ is equal to

A) y^2x	B) x^2y
C) a^2x	D) a^2y

Answer & Explanation Answer: A) y^2x

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

A) 2m –m^2/n	B) 2m –m/n
C) 2m	D) 2m –m

Answer & Explanation Answer: A) 2m –m^2/n

Explanation:

Mean of m observations is n

Mean of n-m observations is m

So total = nm+ (n-m)m

Total observations = n

Mean = Total / Total observations = (2mn-m^2)/n = 2m –m^2/n

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Mahesh rows to the place 80 km away and back in 20 hours. He finds that he can row 8 km downstream in the same time as 4 km upstream. The speed of the boat in stillwater is

A) 9 kmph	B) 7 kmph
C) 2 kmph	D) 5 kmph

Answer & Explanation Answer: A) 9 kmph

Explanation:

If Mahesh moves 8 km downstream in X hours

Downstream speed = 8/X kmph

upstream speed = 4/X kmph

Now 80/(8/X) + 80/(4/X)=20

X=2/3

downstream Speed = 8/(2/3)= 12 kmph

upstream Speed = 4/(2/3)= 6 kmph

Rate of the stream = (12+6)/2= 9 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?

A) 1125	B) 6750
C) 4500	D) 3375

Answer & Explanation Answer: D) 3375

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Can yoy guess the Age of Karthik & Kalyan ?

age_31499317915.jpg image

A) 68 & 44	B) 64 & 48
C) 58 & 54	D) 76 & 36

Answer & Explanation Answer: B) 64 & 48

Explanation:

Given Karthik + Kalyan = 112

Given that when karthik is at the age of kalyan he is twice of Kalyan's age

i.e When he was 48 means Kalyan is at 24

=> Present age of Kalyan is 48

And that of Karthik is 112 - 48 = 64

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

9 2281

Q:

If 3x + 2y = 7 and 4x - y = 24, then x - y = ______.

A) 9	B) 1
C) -9	D) -1

Answer & Explanation Answer: A) 9

Explanation:

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Q:

P started a business by the investing Rs 35000 and Q joined him after one year with an amount of Rs 21000. After two years from the starting of the business, they earned profit of Rs 26000. What will be the P’s share (in Rs) in the profit?

A) 15000	B) 18000
C) 20000	D) 16000

Answer & Explanation Answer: C) 20000

Explanation:

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Filed Under: Partnership
Exam Prep: Bank Exams

7 2279

Q:

Aayush's birthday is on Monday 22nd May. On what day of the week will be Neerav's Birthday in the same year if Neerav was born on 30th October?

A) Monday	B) Wednesday
C) Friday	D) Thursday

Quantitative Aptitude - Arithmetic Ability Questions

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