6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

A) 50	B) 40
C) 45	D) 10

Answer & Explanation Answer: D) 10

Explanation:

Let the number of workers be x.

Now, Using work equivalence method,

X + (X-1) + (X-2)+ . . . . + 1 = X *55% of X

=> [X * (X+1)] / 2 = X * (55X/100) [because, Series is in AP. Sum of AP = {No. of terms (first term+ last term)/2} ]

Therefore, X = 10

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Filed Under: Time and Work

63 24285

Q:

Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

A) 19/34	B) 5/4
C) 20/34	D) 25/34

Answer & Explanation Answer: D) 25/34

Explanation:

The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl.

So the required probability:
= $(\frac{8}{17} * \frac{9}{16}) + (\frac{9}{17} * \frac{8}{16}) + (\frac{8}{17} * \frac{7}{16})$

= $\frac{9}{34} + \frac{9}{34} + \frac{7}{34}$
= $\frac{25}{34}$

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Filed Under: Probability

21 24281

Q:

Consider the circle as shown in the figure and choose the correct option for this case.

A) QC \|\| PB	B) QC = 1/2 PB
C) QC is never parallel to PB	D) QC \|\| PB, QC = 1/2 PB

Answer & Explanation Answer: A) QC || PB

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 24216

Q:

A sequence $a, ax, {ax}^{2}, . . . . . ., {ax}^{n}$ , has odd number of terms. Then the median is

A) axn2+1	B) axn2-1
C) axn-1	D) axn2

Answer & Explanation Answer: D) axn2

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

9 24204

Q:

The present worth of Rs.169 due in 2 years at 4% per annum compound interest is

A) Rs.156.25	B) Rs.150
C) Rs.140	D) Rs125.25

Answer & Explanation Answer: A) Rs.156.25

Explanation:

Present Worth

= $\frac{P}{{(1 + \frac{R}{100})}^{2}}$

= $\frac{169}{{(1 + \frac{4}{100})}^{2}}$

= Rs.156.25

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

30 24197

Q:

A man walks 6 km at a speed of $1 \frac{1}{2}$ kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

$A) 4 \frac{3}{14}$

B) $4 \frac{2}{13}$

C) $2 \frac{4}{13}$

D) $3 \frac{4}{14}$

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

Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

Average speed of man= total distance/ total time
=> 54/13 = $4 \frac{2}{13}$ kmph

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

17 24171

Q:

The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is :

A) 60	B) 70
C) 80	D) 90

Answer & Explanation Answer: A) 60

Explanation:

We have : x + (x% of 150 )= 150

=> x+(x/100)*150] = 150

=> $\frac{5}{2} x = 150$

=> x = (150*2)/5 = 60

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Filed Under: Percentage

43 24124

Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567	B) 3452
C) 3087	D) 3544

Quantitative Aptitude - Arithmetic Ability Questions

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