6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24	B) 45
C) 72	D) 30

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

16 5017

Q:

Rishi bought 30 kg of sugar at the rate of Rs. 9 per kg and 45 kg of sugar at the rate of Rs. 10 per kg. He mixed both type of sugar and sold the mixture at the rate of Rs. 9.75 per kg. What was his gain or loss in the selling of whole sugar?

A) Rs. 10.75	B) Rs. 11.25
C) Rs. 12	D) Rs. 13.50

Answer & Explanation Answer: B) Rs. 11.25

Explanation:

Total quantity of sugar = 45 + 30 = 75

Gain or loss can be calculated as

9.75 x 75 - (30 x 9 + 45 x 10)

= 731.25 - 720

= 11.25

Hence, in the overall transaction, Rishi got Rs. 11.25 gain.

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

7 5016

Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time

A) Rs.51.25	B) Rs.61.25
C) Rs.51	D) Rs.42

Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum = Rs.(50*100)/2*5=Rs.500

Amount=Rs.[500*(1+5/100)2]

= Rs. 551.25

C.I = Rs.(551.25-500)= Rs.51.25

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

0 5015

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
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10 5008

Q:

At the beginning of March, Ryan had $621 in his savings bank account. On 10 March he deposited $60. If the bank pays 8% p.a. interest paid monthly and calculated on the minimum monthly balance, calculate the interest Ryan earns in March.

A) 2.14	B) 3.14
C) 5.14	D) 4.14

Answer & Explanation Answer: D) 4.14

Explanation:

I = (P x T x R) /100

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

2 5005

Q:

The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ?

A) 15 cm	B) 18 cm
C) 34 cm	D) 26 cm

Answer & Explanation Answer: C) 34 cm

Explanation:

Let the side of the square be 's' cm

length of rectangle = (s+5) cm

breadth of rectangle = (s-3)cm

(s+5) (s-3) =

$s^{2}$ - 5s - 3s - 15 = $s^{2}$

2s = 15

Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2)

= 2(15 + 2) = 34 cm

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Filed Under: Area
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

28 4992

Q:

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit ?

A) 60%	B) 50%
C) 70%	D) 45%

Answer & Explanation Answer: C) 70%

Explanation:

Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.

Profit = Rs. (420 - 125) = Rs. 295

Required percentage = (295/420) * 100
= 70%(approx)

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

2 4988

Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A) 11/91

B) 4/11

C) 1/11

D) 90/91

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14

= $C_{4}^{14}$ ways = $\frac{14 \times 13 \times 12 \times 11}{4 \times 3 \times 2 \times 1}$ = 1001

Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

$\Rightarrow C_{1}^{5} + C_{4}^{4} + C_{1}^{5}$ = 5+1+5 =11

P(E) = $\frac{n (E)}{n (S)} = \frac{11}{1001} = \frac{1}{91}$

Required probability = $1 - \frac{1}{91} = \frac{90}{91}$

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Filed Under: Permutations and Combinations
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

8 4986

Quantitative Aptitude - Arithmetic Ability Questions

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