6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A sum is being lent at 20 % per annum compound interest.what is the ratio of increase in amount of 4th year to 5th year?

A) 4:5	B) 5:4
C) 5:6	D) can't be determined

Answer & Explanation Answer: C) 5:6

Explanation:

$\frac{P {(1 + \frac{r}{100})}^{4}}{P {(1 + \frac{r}{100})}^{5}} = \frac{1}{(1 + \frac{r}{100})} = \frac{100}{100 + r} = \frac{100}{120} = \frac{5}{6}$

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Filed Under: Compound Interest

49 14055

Q:

A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

A) 200m	B) 300m
C) 400m	D) 100m

Answer & Explanation Answer: A) 200m

Explanation:

Let the triangle and parallelogram have common base b,

let the Altitude of triangle is h1 and of parallelogram is h2(which is equal to 100 m), then

Area of triangle = $\frac{1}{2} \times b \times h 1$

Area of rectangle = b*h2

As per Given,

$\frac{1}{2} * b * h 1 = b * h 2$

$\frac{1}{2} * b * h 1 = b * 100$

h1=200

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

13 14022

Q:

If n is natural number , then $(6 n^{2} + 6 n)$ is always divisible by :

A) 6 only	B) 6 and 12 both
C) 12 only	D) by 18 only

Answer & Explanation Answer: B) 6 and 12 both

Explanation:

$(6 n^{2} + 6 n) = 6 n (n + 1)$ , which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

12 14010

Q:

A sum at simple interest at $13 \frac{1}{2}$ % per annum amounts to Rs. 2502.50 after 4 years. Find the sum

A) Rs.1625	B) Rs1525
C) Rs.1425	D) Rs.1325

Answer & Explanation Answer: A) Rs.1625

Explanation:

Let sum be Rs.x then, S.I. =Rs. [ x * (27/2) * 4 * (1/100) ] = Rs. 27x/50

Amount =Rs [ x + (27x/50)] = Rs.77x/50

=> 77X/50 = 2502.50

=>X= (2502.50 * 50)/77 = 1625

Hence Sum = Rs.1625

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

11 13994

Q:

Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?

A) Rs. 17.80	B) Rs. 16.30
C) Rs. 14	D) Rs. 15.40

Answer & Explanation Answer: B) Rs. 16.30

Explanation:

C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.

S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.

S.P. per kg = 819/50 = Rs. 16.38 = 16.30.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

20 13989

Q:

123 typists typeed 984 papers in 1/15 hour. The number of papers typed for minute by a average typist is:

A) 1	B) 2
C) 3	D) 5

Answer & Explanation Answer: B) 2

Explanation:

Use unitary method:

In $\inline \frac{1}{15}$ hours, 123 typists can type 984 paper

In 1 minute, 123 typists can type $\inline \frac{984}{4}$ = 246 papers

In 1 minute, 1 typist can type $\inline \frac{246}{123}$ =2 papers [ Hint $\inline \frac{1}{15}$ hours = 4 minutes]

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Filed Under: Average

20 13960

Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts	B) 150 mts
C) 120 mts	D) 100 mts

Answer & Explanation Answer: D) 100 mts

Explanation:

We know that $S p e e d = \frac{d i s \tan c e}{t i m e}$

distance= speed * time

$\Rightarrow$ $d = (40 \times \frac{5}{18}) \times 9$

d= 100 mts.

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

11 13941

Q:

The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan?

A) 6548	B) 5667
C) 7556	D) 8457

Answer & Explanation Answer: C) 7556

Explanation:

Let ratio of the incomes of Pavan and Amar be 4x and 3x

and Ratio of their expenditures be 3y and 2y

4x - 3y = 1889 ......... I

and

3x - 2y = 1889 ...........II

I and II

y = 1889

and x = 1889

Pavan's income = 7556

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

41 13906

Quantitative Aptitude - Arithmetic Ability Questions

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