5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A) 8p	B) pq
C) pq+27	D) -p

Answer & Explanation Answer: C) pq+27

Explanation:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5

Consider the answer choices in turn.

8 is the cube of 2, and p is a cube, and so the product will also be a cube.

pq will also be a cube as shown above.

pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube.

-p will be a cube.

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).

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Filed Under: Numbers

7 11752

Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0	B) 10
C) 30	D) 60

Answer & Explanation Answer: B) 10

Explanation:

Angle traced by hour hand in $\frac{13}{3}$ hrs = ${(\frac{360}{12} \times \frac{13}{3})}^{0}$ = $130^{0}$

Angle traced by min. hand in 20 min = ${(\frac{360}{60} \times 20)}^{0}$ = $120^{0}$

Required angle = (130 - 120)º = 10º

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

18 11722

Q:

Refer the below data table and answer the following question.

If the imports in 2012 was Rs. 1500 crores and the total exports in the years 2012 and 2013 together was Rs. 2000 crores, then the imports in 2013 was ?

A) 573	B) 636
C) 1364	D) 707

Answer & Explanation Answer: A) 573

Explanation:

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Filed Under: Table Charts
Exam Prep: Bank Exams

0 11720

Q:

In what time will Rs. 1860 amount to Rs. 2641.20 at simple interest 12% per annum?

A) 2.9 years	B) 3.5 years
C) 4.2 years	D) 4.7 years

Answer & Explanation Answer: B) 3.5 years

Explanation:

Given that Rs. 1860 will become Rs. 2641.20 at 12%

=> Simple Interest = 2641.20 - 1860 = Rs. 781.20

We know I = PTR/100

=> 781.20 x 100 = 1860 x T x 12

=> T = 78120/1860x12

=> T = 78120/22320

=> T = 3.5 years.

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

30 11715

Q:

Karthik read $\frac{6}{13}$ th of a book in 1st week and $\frac{5}{9}$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404	B) 415
C) 418	D) 420

Answer & Explanation Answer: C) 418

Explanation:

Let the total book be 1

Then, in the 1st week $\frac{6}{13}$ th of book is read

i.e remaining pages = $1 - \frac{6}{13} = \frac{7}{13}$

in 2nd week he read $\frac{5}{9}$ th of it

i.e $\frac{5}{9} \times \frac{7}{13} = \frac{35}{117}$
Remaining pages after 2nd week = $\frac{7}{13} - \frac{35}{117} = \frac{28}{117}$

But given remaining pages after 2nd week = 100

$\frac{28 x}{117} = 100$

--> x = 418

The total pages in the book are 418

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Filed Under: Decimal Fractions
Exam Prep: GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

17 11699

Q:

The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is

A) 4m	B) 5m
C) 6m	D) 7m

Answer & Explanation Answer: A) 4m

Explanation:

Let width = x

Then, height = 6x and length = 42x

42x * 6x * x = 16128

x = 4

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

12 11699

Q:

Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is ?

A) 387 kms	B) 242 kms
C) 145 kms	D) 444 kms

Answer & Explanation Answer: D) 444 kms

Explanation:

1h ----- 5 kms
? ------ 60 kms

Time = 12 hrs

Relative Speed = 16 + 21 = 37 kmph

T = 12 hrs

D = S x T = 37 x 12 = 444 kms.

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

11 11692

Q:

First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?

A) January	B) February
C) March	D) August

Answer & Explanation Answer: B) February

Explanation:

We know that the day repeats after every seven days.

Given that first day of the month is Tuesday

i.e 1st - Tuesday

1+7 = 8 - Tuesday

8+7 =15- Tuesday

15+7=22-Tuesday

22+7=29-Tuesday

But given that last day of the same month is Monday

It is possible only in he month of Febuary with 28 days.

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Filed Under: Data Sufficiency
Exam Prep: Bank Exams
Job Role: Bank PO

16 11679

Aptitude and Reasoning Questions

What are Different sections in Aptitude and Reasoning Question and Answers?

Why Aptitude and Reasoning Questions?

What type of questions are there in Aptitude and Reasoning tests?

Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Data Interpretation

Verbal Reasoning - Logical Deduction

Verbal Reasoning - Mental Ability

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