6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two numbers are in the ratio of 15 : 11.If their HCF is 13. Find the numbers.

A) 195, 143	B) 196, 143
C) 195, 141	D) 195, 142

Answer & Explanation Answer: A) 195, 143

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

6 14292

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 14289

Q:

P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ?

A) 5 (2/3)	B) 6 (3/4 )
C) 4 (1/2)	D) 3

Answer & Explanation Answer: C) 4 (1/2)

Explanation:

Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.

Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9

They would take 9/2 days = 4 (1/2) days to complete the work working together.

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

9 14286

Q:

12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ?

A) 2 days	B) 2.5 days
C) 2.25 days	D) 3 days

Answer & Explanation Answer: C) 2.25 days

Explanation:

1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

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

18 14280

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 14271

Q:

Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?

A) 60 sec	B) 48 sec
C) 45 sec	D) 34 sec

Answer & Explanation Answer: B) 48 sec

Explanation:

Relative speed = 42 + 36 = 78 km/hr = $\frac{65}{3}$ m/s

Distance = (520 + 520) =1040 mts.

Time = $1040 \times \frac{3}{65}$ = 48 sec

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

9 14270

Q:

A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed?

A) 56m	B) 65m
C) 34m	D) 36m

Answer & Explanation Answer: A) 56m

Explanation:

Length of the wire fencing = perimeter = 2(90 + 50) = 280 metres

Two poles will be kept 5 metres apart. Also remember that the poles will be placed along the perimeter of the rectangular plot, not in a single straight line which is very important.

Hence number of poles required = 280 / 5 = 56

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

19 14256

Q:

A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.

A) 1cm	B) 2cm
C) 3cm	D) 4cm

Answer & Explanation Answer: C) 3cm

Explanation:

$πr = \frac{66}{7}$

r =3

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

13 14249

Quantitative Aptitude - Arithmetic Ability Questions

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