6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An amount doubles itself in 15 years. what is the rate of interest ?

A) 7.85 %	B) 9.41%
C) 6.66 %	D) 4.21 %

Answer & Explanation Answer: C) 6.66 %

Explanation:

Let the principle be Rs. P
As the amount double itself the interest is Rs. P too
So P = P x r x 15/100
=> r = 100/15 = 20/3 % = 6.66 %.

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Filed Under: Simple Interest
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5 10686

Q:

Two trains of equal length are running on parallel lines in the same direction at 36 km/hr and 26 km/hr. The faster train passes the slower train in 36 sec. The length of each train is ?

A) 28 mts	B) 54 mts
C) 24 mts	D) 50 mts

Answer & Explanation Answer: D) 50 mts

Explanation:

Let the length of each train be x mts.

Then, distance covered = 2x mts.

Relative speed = 36 - 26 = 10 km/hr.

= 10 x 5/18 = 25/9 m/sec.

2x/36 = 25/9 => x = 50 mts.

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Filed Under: Problems on Trains
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8 10685

Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 110	B) 120
C) 130	D) 140

Answer & Explanation Answer: C) 130

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in $\frac{11}{3}$ hrs = ${(\frac{360}{12} \times \frac{11}{3})}^{0}$ = $110^{0}$

Angle traced by minute hand in 60 min. = $360^{0}$

Angle traced by it in 40 min = ${(\frac{360}{60} \times 40)}^{0}$ = $240^{0}$

$\therefore$ Required angle (240 - 110)º = $130^{0}$

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

16 10680

Q:

There is 50% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate ?

A) Rs. 5422	B) Rs. 5489
C) Rs. 3972	D) Rs. 6145

Answer & Explanation Answer: C) Rs. 3972

Explanation:

Let p = Rs. 100.

Then, S.I is Rs. 50 and time = 5 years.

$∴ R = \frac{100 \times 50}{100 \times 5}$ = 10% p.a.

Now, p = Rs. 12,000 , T = 3 years and R = 10% p.a.

C.I. = Rs. $12000 \times \{{(1 + \frac{10}{100})}^{3} - 1\}$ = Rs. 3972

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Filed Under: Compound Interest
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7 10663

Q:

If 6 men and 3 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?

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

Answer & Explanation Answer: A) 1 : 2

Explanation:

6M + 3B = 4(1M + 1B)
6M + 3B = 4M + 4B
2M = 1B

M/B = 1/2

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Filed Under: Ratios and Proportions
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19 10630

Q:

How many days are there in k weeks k days ?

A) 8+k days	B) 7+1k days
C) 8k days	D) 7/k days

Answer & Explanation Answer: C) 8k days

Explanation:

As we know that a week has 7 days,

k weeks k days = (7k + k) days = 8k days.

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Filed Under: Calendar
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11 10626

Q:

88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ?

A) 112 mts	B) 84 mts
C) 96 mts	D) 108 mts

Answer & Explanation Answer: B) 84 mts

Explanation:

Vol of silver = ${πR}^{2} h$ = 66 C.C

Given D= 1mm => R = D/2 = 1/20 cm

=> $\frac{22}{7} \times {(\frac{1}{20})}^{2} \times h$ = 66

= 66 x 400 x (7/22) = 8400 cm = 84 mtrs.

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Filed Under: Volume and Surface Area
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11 10604

Q:

The calendar for the year 2020 will be the same for the year

A) 2040	B) 2076
C) 2096	D) 2044

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