5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Consider the following frequency distribution:

x f

8 6

5 4

6 5

10 8

9 9

4 6

7 4

What is the median for the distribution?

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: C) 8

Explanation:

Summation of frequencies = 6+4+5+8+9+6+4 = 42

Median = mid value = average of 21st and 22nd value

Arranging data in increasing order we get

x f

4 6

5 4

6 5

7 4

8 6

9 9

10 8

So mid value i.e 21st and 22nd value = 8

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Exam Prep: Bank Exams

0 28759

Q:

Find the volume (in cub.cm) of a hemisphere of diameter 28 cm.

A) 4789.67	B) 3675
C) 2732	D) 5749.33

Answer & Explanation Answer: D) 5749.33

Explanation:

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

1 28744

Q:

A train travelling at a speed of 75 mph enters a tunnel $3 \frac{1}{2}$ miles long. The train is $\frac{1}{4}$ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A) 2.5 min	B) 3 min
C) 3.2 min	D) 3.5 min

Answer & Explanation Answer: B) 3 min

Explanation:

Total distance covered = $(\frac{7}{2} + \frac{1}{4})$ miles = $\frac{15}{4}$ miles

Time taken = $(\frac{15}{4 * 75})$ hrs = $\frac{1}{20}$ hrs = $(\frac{1}{20} * 60) m i n$ = 3 min

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Filed Under: Problems on Trains

36 28697

Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is :

A) M	B) 3 M^2
C) 2 (M/3)	D) M^2

Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.

Now. ${(a + b + c)}^{2} = {(3 M)}^{2} = 9 M^{2}$ .

$< = > a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) = 9 M^{2}$

$a^{2} + b^{2} + c^{2} = 9 M^{2}, (a b + b c + c a = 0)$

Required mean = $(\frac{a^{2} + b^{2} + c^{2}}{3}) = \frac{9 M^{2}}{3} = 3 M^{2}$ .

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Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

35 28688

Q:

Read the statements and select a conclusion from the given alternatives.

Statements :

All Apples are leaves. Some leaves are lemons. No lemon is house.

Conclusions :

I. Some houses are Apples
II. Some lemons are Apples
III. No house is Apple

A) Only I follows	B) Only II follows
C) Both II & III follows	D) Either I or III follows

Answer & Explanation Answer: C) Both II & III follows

Explanation:

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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 28670

Q:

If a mirror is placed on the line MN, then which is the right image of the given figure?

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

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Image Analysis
Exam Prep: Bank Exams

1 28650

Q:

There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

A) 1/2	B) 3/4
C) 4/7	D) 3/8

Answer & Explanation Answer: D) 3/8

Explanation:

Total cases of checking in the hotels = 4 x 4 x 4 = 64 ways.

Cases when 3 men are checking in different hotels = 4×3×2 = 24 ways.

Required probability =24/64 = 3/8

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Filed Under: Probability

46 28636

Q:

Refer the below data table and answer the following question.

For which of the following pairs of years the total exports from the three companies together are equal? (in lakhs)

A) 2011 & 2013	B) 2013 & 2015
C) 2011 & 2012	D) 2014 & 2012

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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