5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

1. 1 : 3 2. 3 : 1 3. 2 : 1 4. 1 : 2

2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

1. 2 2. 1 3. 3 4. 4

3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ?

1. 20.16 2. 19.02 3. 18.51 4. 18.59

4. The overall average speed of the entire trip excluding stoppage time is nearly :

1. 75 km/h 2. 81 km/h 3. 46 km/h 4. 65 km/hr

5. What percent of time of the entire trip was actually spent travelling between the cities ?

1. 91.8% 2. 7.6% 3. 76% 4. 24%

Answer

1. Answer : 4

Explanation : Required ratio = $\frac{10 + 2 + 5}{10 + 15 + 10} = \frac{17}{35} \approx \frac{1}{2} = 1 : 2$

2. Answer : 1

Explanation :

A to B Speed = $\frac{140 \times 3}{5}$ = 84

B to C Speed = $\frac{91 \times 3}{4}$ = 68.25

C to D Speed = $\frac{149 \times 60}{103}$ = 86.796

D to E Speed = $\frac{88 \times 3}{4}$ = 66

E to F Speed = $\frac{106 \times 4}{5}$ = 84.8

F to G Speed = $\frac{176}{2}$ = 88

G to h Speed = $\frac{110 \times 4}{5}$ = 88

Average speed of entire trip = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83

3. Answer : 3

Explanation : Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52

Total half time, if the train stops at each city for 50% more= $52 \times \frac{150}{100}$ =78

Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51

4. Answer : 2

Explanation : Average speed = $\frac{84 + 68.25 + 86.796 + 66 + 84.8 + 88 + 88}{7}$ =80.83=81 km/hr

5. Answer : 1

Explanation : Required percentage of time = $\frac{1.40 + 1.20 + 1.43 + 1.20 + 1.15 + 2 + 1.15}{18.25 - 7} \times 100$ = $\frac{10.23}{11.25} \times 100$ = 91.8 %

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Subject: Line Charts

11 8027

Q:

Find the perimeter of the rectangle or square with the given dimensions l = 5 feet, w = 2 feet?

A) 11ft	B) 13ft
C) 14ft	D) 15ft

Answer & Explanation Answer: C) 14ft

Explanation:

We know that,

Perimeter of rectangle = 2(L+W) = 2(5 + 2) = 2 (7) = 14 fts.

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

1 8027

Q:

If it is possible to form a number with the second, the fifth and the eighth digits of the number 31549786, which is the perfect square of a two - digit even number, which of the following will be the second digit of that even number ?

A) 1	B) 4
C) 6	D) None of these

Answer & Explanation Answer: B) 4

Explanation:

The 2nd, 5th and 8th digits of the number 31549786 are 1, 9 and 6 respectively.

The perfect square of a two - digit even number, formed using the digits 1, 9 and 6 is 196.

And, 14 x 14 = 196

So, the required even number is 14. Clearly, its second digit is 4.

Hence, the answer is (b).

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Filed Under: Number, Ranking and Time Sequence Test

12 8026

Q:

Study the table below to answer these questions.

Rate of Interest, Dividend Payout Ratio and the Retained Earnings of Five Companies

Profit earned is either paid out as dividend or ploughed back in business as retained earnings. Interest is paid on borrowings.

1. By how much do the borrowings of Company B exceed that of Company A ?

1. Rs. 1,210,000 2. Rs.1,320,000 3. Rs.1,000,000 4. Rs.1,100,000

2. By how much does the dividend paid by Company D exceed the dividend paid by Company B ?

1. Rs.23 lakh 2. Rs.32 lakh 3. Rs.320 lakh 4. Rs.230 lakh

3. The profit of E is more/less than that of C by _____ %

1. 33.3% less 2. 33.3% more 3. 25% less 4. 25% more

4. What is the sum of profits made by Companies A and B ?

1. Rs.500 lakh 2. Rs.600 lakh 3. Rs.700 lakh 4. Rs.800 lakh

5. What is the sum of the borrowings of all five companies ?

1. Rs.146 lakh 2. Rs.14.6 lakh 3. Rs.14.6 crore 4. None of these

Answer

1. Answer : 4

Explanation : Let the borrowing of Company A = x

Interest of Company A = 234000

Rate of Interest = 18%

$∴ x \times \frac{18}{100} = 234000 \Rightarrow x = 1300000$

Let the borrowing of Company B = y

Interest of Company B = 576000

Rate of interest = 24%

$∴ y \times \frac{24}{100} = 576000 \Rightarrow y = 2400000$

Required difference = y - x = 2400000 - 1300000 = Rs. 1100000

2. Answer : 2

Explanation :

Let the profit of Comapny B = 100%

Dividend Payout ratio(%) of B = 19.60

Remaining percent i.e retained earning = 100 - 19.60 = 80.4%

According to question, 80.4% = Rs.402 lakh

100% = Rs.500 lakh

Therefore, Total dividend paid by Company B = 500 - 402 = Rs. 98 lakh

Let the profit of company D = 100%

Dividend payout ratio (%) of D = 32.50

Remaining percent i.e retained earning = 100 - 32.50 = 67.5%

According to question, 67.5% = Rs. 270 lakh

100% = Rs. 400 lakh

Therefore, Total dividend paid by company D = 400 - 270 = Rs. 130 lakh

Required difference = 130 - 98 = Rs. 32 lakh

3. Answer : 3

Explanation :

Let the profit of Company C = 100%

Dividend payout ratio of C = 8.75%

Remaining percent i.e, retained earning = 100 - 8.75 = 91.25

According to question, 91.25% = Rs. 365 lakh

100% = Rs. 400 lakh

Therefore, Profit of C = Rs. 400 lakh

Let the profit of company E = 100%

Dividend payout ratio of E = 28%

Remaining percent i.e retained earning = 100 - 28 = 72%

According to question, 72% = Rs.216 lakh

100% = Rs.300 lakh

Therefore, Profit of E = Rs. 300 lakh

Required percentage = $\frac{100}{400} \times 100$ = 25% less

4. Answer : 3

Explanation :

Profit made by company A = Rs. 200 lakh

Profit made by company B = Rs. 500 lakh

Required Sum = 200 + 500 = Rs. 700 lakh

5. Answer : 4

Explanation :

Required Sum = 1300000 + 2400000 + 810000 + 1600000 + 1200000 = 7310000 = Rs. 73.1 lakh

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Subject: Table Charts

8 8021

Q:

How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ?

A) 59	B) 60
C) 61	D) 64

Answer & Explanation Answer: B) 60

Explanation:

The given digits are 1, 2, 3, 5, 7, 9

A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.

Number of even numbers = ⁵P₃ = 60.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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1 8009

Q:

A person can row 8 1/2 km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream ?

A) 1.78 kmph	B) 2.35 kmph
C) 2.83 kmph	D) 3.15 kmph

Answer & Explanation Answer: C) 2.83 kmph

Explanation:

Given speed of the person = 8 1/2 = 17/2 kmph
Let the speed of the stream = x kmph
speed of upstream = 17/2 - x
speed of downstream = 17/2 + x
But given that,
2(17/2 - x) = 17/2 + x
=> 3x = 17/2
=> x = 2.83 kmph.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

14 8008

Q:

You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do ?

A) Jump out quickly to avoid embarrassment.	B) call the conductor, give him the money and get the ticket.
C) Hand the money to someone sitting nearby to give it to the conductor	D) Give the money to the driver.

Answer & Explanation Answer: B) call the conductor, give him the money and get the ticket.

Explanation:

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Filed Under: Situation Reaction Test

126 8008

Q:

The average of marks in 3 subjects is 224. The first subject marks is twice the second and the second subject marks is twice the third. Find the second subject marks ?

A) 384	B) 96
C) 192	D) 206

Answer & Explanation Answer: C) 192

Explanation:

Let the third subject marks be 'x'
=> Second subject marks = 2x
=> Third subject marks = 4x
Given avg = 224
x + 2x + 4x = 224 x 3
=> 7x = 224 x 3
=> x = 96
Hence, Second subject marks = 2x = 2 x 96 = 192.

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

12 8007

Aptitude and Reasoning Questions

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Quantitative Aptitude - Arithmetic Ability

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