6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::

sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image

Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Subject: Simplification Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 2441

Q:

If A is 6 times more than B, then by what percentage is B is less than A?

A) 64.82	B) 83.33
C) 28.56	D) 85.71

Answer & Explanation Answer: D) 85.71

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

4 2439

Q:

A wholesaler sold a water purifier at a loss of 40%. If the selling price has been increased by Rs. 125, then wholesaler will get the profit of 10%. What was the cost price of the purifier?

A) Rs. 250	B) Rs. 225
C) Rs. 275	D) Rs. 300

Answer & Explanation Answer: B) Rs. 225

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

5 2437

Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km	B) 600 m
C) 4.8 km	D) 1.2 km

Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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

2 2435

Q:

A trader had 16 quintals of wheat. He sold a part of it at 17% profit and the rest at 27% profit, so that he made a total profit of 21%. How much wheat did he sell at 27% profit?

A) 960 kg	B) 640 kg
C) 320 kg	D) 1280 kg

Answer & Explanation Answer: B) 640 kg

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

4 2434

Q:

If $a^{x} = b^{y} = c^{z}$ and $b^{2} = ac$ , then what is $\frac{1}{x} + \frac{1}{z}$ equal to ?

A) 1/y	B) -1/y
C) 2/y	D) -2/y

Answer & Explanation Answer: C) 2/y

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2434

Q:

The quadratic equation $(1 + a^{2}) x^{2} + 2 abx + (b^{2} - c^{2}) = 0$ has only one root. What is the value of $c^{2} (1 + a^{2})$ ?

A) a2	B) b2
C) c2	D) ab

Answer & Explanation Answer: B) b2

Explanation:

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Exam Prep: Bank Exams

0 2433

Q:

How many pairs (A, B) are possible in the number 479865AB if the number is divisible by 9 and it is given that the last digit of the number is odd?

A) 5	B) 6
C) 9	D) 11

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