5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24	B) 20
C) 26	D) 34

Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

2 5991

Q:

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

A) 20%	B) 25%
C) 30%	D) 15%

Answer & Explanation Answer: A) 20%

Explanation:

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

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

6 5989

Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400	B) 525
C) 325	D) 475

Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

=> 40x + 34x + 10400 = 100x

=> 26x = 10400

=> x = 400.

Hence, total pages in the book are 400.

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

7 5988

Q:

How many numbers amogst the numbers 9 to 54 are there which are exactly divisible by 9 but not by 3 ?

A) 5	B) 6
C) 0	D) 9

Answer & Explanation Answer: C) 0

Explanation:

Any number divisible by 9 is also divisible by 3.

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Filed Under: Number, Ranking and Time Sequence Test

15 5987

Q:

In the following question, various terms of an alphanumerical series are given with one or more terms missing as shown by (?). Choose the missing terms out of the given alternatives. EJO, TYD, INS, XCH ?

A) NRW	B) NSX
C) MRW	D) MSX

Answer & Explanation Answer: C) MRW

Explanation:

There is a gap of four letters between the first and second, the second and third letters.
There is a gap of four letters between the last letter and the first letter of the next term.

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Filed Under: Number Series

17 5982

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250	B) Rs. 600
C) Rs. 900	D) Rs. 1500

Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference =

$\frac{6 - 5}{6 + 5} (\frac{88}{100} x 7500) + \frac{12}{100} x 7500 = \frac{1}{11} x 88 x 75 + 12 x 75 = 600 + 900 = 1500$

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

8 5981

Q:

The following bar graph indicates the production of sugar (in lakh tonnes) by three different sugar companies P, Q and R over years 2009 to 2013.

Production of Sugar by Companies P, Q and R during 2009 - 2013

1. The percentage increase in production of Company Q from the year 2009 to the year 2013 is :

1. 80% 2. 90% 3. 60% 4. 100%

2. The average production over the years 2009 - 2013 was maximum for the Company(ies):

1. Q 2. P 3. R 4. P and R

3. The percentage rise or fall in production of Company Q as compared to the previous year is the maximum in the year :

1. 2011 2. 2010 3. 2013 4. 2012

4. The percentage of production of Company R to Production of Company Q is the maximum in the year

1. 2010 2. 2009 3. 2011 4. None of these

5. The ratio of the average production of Company P during the years 2011 to 2013 to the average production of Company Q for the same period is :

1. 23 : 25 2. 27 : 29 3. 15 : 17 4. 9 : 11

Answer

1. Answer : 4

Explanation : Required Percentage = $\frac{100 - 50}{50} \times 100$ = 100%

2. Answer : 4

Explanation : The average production of P = $\frac{60 + 90 + 50 + 100 + 80}{5}$ = 76

The average production of Q = $\frac{50 + 70 + 70 + 80 + 100}{5}$ = 74

The average production of R = $\frac{70 + 80 + 90 + 70 + 70}{5}$ = 76

Maximum average production = P and R both

3. Answer : 2

Explanation : The percentage rise in 2010 = $\frac{70 - 50}{50} \times 100$ = 40%

The percentage rise in 2011 = $\frac{70 - 70}{70} \times 100$ = 0%

The percentage rise in 2012 = $\frac{80 - 70}{70} \times 100$ = 14.28%

The percentage rise in 2013 = $\frac{100 - 80}{80} \times 100$ =25%

4. Answer : 2

Explanation : The percentage of production of Company R to production of Company Q

in 2009 = $\frac{70}{50} \times 100$ = 140

in 2010 = $\frac{80}{70} \times 100$ = 114.28

in 2011 = $\frac{90}{70} \times 100$ = 128.57

in 2012 = $\frac{70}{80} \times 100$ = 87.5

in 2013 = $\frac{70}{100} \times 100$ = 70

5. Answer : 1

Explanation : Average production of company P during the years 2011 to 2013 = $\frac{50 + 100 + 80}{3}$ = $\frac{230}{3}$

Average production of company Q during the years 2011 to 2013 = $\frac{70 + 80 + 100}{3}$ = $\frac{250}{3}$

Required ratio = 23 : 25

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Subject: Bar Charts

14 5979

Q:

At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?

A) 11/24	B) 1/5
C) 16/25	D) 6/5

Answer & Explanation Answer: C) 16/25

Explanation:

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO

5 5970

Aptitude and Reasoning Questions

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Non Verbal Reasoning

Quantitative Aptitude - Arithmetic Ability

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