6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simplify: (157 x 157 + 143 x 143)

A) 45098	B) 46098
C) 90196	D) 91196

Answer & Explanation Answer: A) 45098

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

0 22513

Q:

If the compound interest on a certain sum at $16 \frac{2}{3}$ % to 3 years is Rs.1270, find the simple interest on the same sum at the same rate and f or the same period.

A) 1080	B) 1090
C) 1180	D) 1109

Answer & Explanation Answer: A) 1080

Explanation:

Let the sum be Rs. x. Then,

$C . I = [x * {(\frac{50}{300 * 100})}^{3} - x] = (\frac{343 x}{216} - x) = \frac{127 x}{216}$

$\Leftrightarrow \frac{127 x}{216} = 1270$

$x = 2160$

Thus, the sum is Rs. 2160

$S . I = R s . [2160 * \frac{50}{3} * 3 * \frac{1}{100}] = R s 1080$

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

15 22512

Q:

A Certain sum of money an amounts to Rs 2500 in a span Of 5 years and further to Rs.3000 in a span of 7 years at simple interest The sum is ?

A) Rs. 1800	B) Rs. 2000
C) Rs. 1400	D) Rs. 1250

Answer & Explanation Answer: D) Rs. 1250

Explanation:

2500 in 5th year and 3000 in 7th year
So in between 2 years Rs. 500 is increased => for a year 500/2 = 250
So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250
Hence, the initial amount must be 2500 - 1250 = Rs. 1250

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

16 22493

Q:

The volume of a hemisphere is 89.83 cm³. Find its diameter (in cm).

A) 3.5	B) 7
C) 14	D) 10.5

Answer & Explanation Answer: B) 7

Explanation:

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

0 22480

Q:

A train moves with a speed of 108 kmph. Its speed in metres per second is :

A) 10.8	B) 18
C) 30	D) 38.8

Answer & Explanation Answer: C) 30

Explanation:

108 kmph = 108*[5/18] m/sec = 30 m / s.

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Filed Under: Problems on Trains

42 22446

Q:

A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is:

A) 28 litres	B) 32 litres
C) 35 litres	D) 42 litres

Answer & Explanation Answer: C) 35 litres

Explanation:

Let the capacity of the tank be x litres.

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

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Filed Under: Simplification

34 22436

Q:

Prove that any date in March of a year is the same day of the week corresponding date in November that year.

A) Same day	B) Not same day
C) Next day	D) Previous day

Answer & Explanation Answer: A) Same day

Explanation:

We will show that the number of odd days between last day of February and last day of October is zero. .

March April May June July Aug. Sept. Oct.

31 + 30 + 31 + 30 + 31 + 31 + 30 + 31

= 241 days = 35 weeks = 0 odd day. ,Number of odd days during this period = 0.

Thus, 1st March of an year will be the same day as 1st November of that year. Hence, the result follows

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Filed Under: Calendar

102 22396

Q:

The ratio of the areas of a square and a regular hexagon, both inscribed in a circle is?

A) 4 : 3√3	B) 1 : √3
C) 3√3 : 2	D) 2 : 3

Quantitative Aptitude - Arithmetic Ability Questions

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