6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task?

A) 111	B) 117
C) 123	D) 139

Answer & Explanation Answer: C) 123

Explanation:

We know that, $\frac{M 1 \times D 1}{W 1} = \frac{M 2 \times D 2}{W 2}$

Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845

$\frac{1 \times 6}{1} = \frac{M \times 90}{1845}$

=> M = 123

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

8 4765

Q:

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A) 40 units	B) 30 units
C) 13 units	D) 24 units

Answer & Explanation Answer: D) 24 units

Explanation:

Ratio of length and breadth is 6 : 5
∴ Length = 6x
Breadth = 5x
∴ Area = l x b = 30x2
∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x
∴ (30*x*x)/(22x)= 60/11
∴ X = 4
∴ Length = 6x = 6 x 4 = 24 units

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Filed Under: Area
Exam Prep: Bank Exams

2 4765

Q:

On simple interest an amount becomes Rs. 812 in two years and Rs. 924 in four years. What is the rate of interest on that amount?

A) 7.2%	B) 8%
C) 8.5%	D) 9.3%

Answer & Explanation Answer: B) 8%

Explanation:

We know,

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

Hence, the rate of interest R = 8%.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 4764

Q:

A person walking 6/7 of his usual rate is 30 minutes late. What is his usual time ?

A) 2 hrs 50 min	B) 3 hrs 25 min
C) 3 hrs	D) 2 hrs 5 min

Answer & Explanation Answer: C) 3 hrs

Explanation:

Let t be the usual time. If the usual rate is 1 unit, then the unusual rate is 6/7.
Balance by the distance,
1 x t = (6/7)(t + 30)
7t = 6(t + 30)
we get t as,
t = 180 minutes = 3 hrs.

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

2 4760

Q:

Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?

A) 5:3	B) 3:5
C) 25:9	D) 9:25

Answer & Explanation Answer: A) 5:3

Explanation:

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

0 4758

Q:

A 200 m long train passes a motorcycler, running in the same direction at 12 km/hr, in 15 second and a jeep travelling in the same direction in 20 s. At what speed is the car travelling (length of both the motorcycler and jeep is negligible)?

A) 36 kmph	B) 32 kmph
C) 29 kmph	D) 24 kmph

Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the speed of the train be 'S' kmph

From the given data,

Distance = Length of train = D = 200 mts = 200 x 18/5 kms

Time = 10 sec

given speed of the motorcycler = 12 kmph

Relative speed as they are moving in the same direction = (S - 12) kmph

$(S - 12) = \frac{200 x \frac{18}{5}}{15} S - 12 = 48 S = 60 kmph$

Hence, the speed of the train = S = 60 kmph

Now,

Let the speed of the jeep be 'x' kmph

$60 - x = \frac{200 x \frac{18}{5}}{20} 60 - x = 36 x = 60 - 36 x = 24 kmph$

Therefore, the speed of the jeep = x = 24 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

10 4752

Q:

If 3a=4b=6c and $a + b + c = 27 \sqrt{29}$ , then $\sqrt{a^{2} + b^{2} + c^{2}} = ?$

A) 81	B) 83
C) 87	D) None of these

Answer & Explanation Answer: C) 87

Explanation:

$4 b = 6 c \Rightarrow b = \frac{3}{2} c a n d 3 a = 4 b \Rightarrow a = \frac{4}{3} b = \frac{4}{3} (\frac{3}{2} c) = 2 c$

$a + b + c = 27 \sqrt{29} \Rightarrow 2 c + \frac{3}{2} c + c = 27 \sqrt{29} \Rightarrow c = 6 \sqrt{29}$

$∴ \sqrt{a^{2} + b^{2} + c^{2}} = \sqrt{(a + b + b)^{2} - 2 (a b + b c + c a)}$

$= \sqrt{(27 \sqrt{29})^{2} - 2 (2 c \times \frac{3}{2} c + \frac{3}{2} c \times c + c \times 2 c)}$

$= \sqrt{(729 \times 29) - 2 \times \frac{13}{2} c^{2}}$

= 87

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Filed Under: Square Roots and Cube Roots

12 4750

Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres	B) 14 litres
C) 16 litres	D) 17 litres

Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

2 4745

Quantitative Aptitude - Arithmetic Ability Questions

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