Aptitude and Reasoning Questions

Q:

A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ?

A) 8 m/h B) 5 m/h
C) 7 m/h D) 6 m/h
 
Answer & Explanation Answer: B) 5 m/h

Explanation:

As the distance travelled is constant, the time taken is inversely proportional to speed.

Let 'u' be the speed of the current and 'v' be the speed of the boat.

Speed of the boat downstream = v + u & upstream = v - u

=> v+u/v-u = 30/20 => v/u = 5 => v = 5u

=> v + u = 6u = 10/20/60 miles/hr

=> 6u = 30 m/h

=> u = 5 m/h

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Filed Under: Boats and Streams
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20 7906
Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph B) 3 kmph
C) 5 kmph D) 4 kmph
 
Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

 

From the given data,

 

 129+x+129-x=3 hrs

3x2 = 27

 

=> x = 3 kmph

 

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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25 7900
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×18100=234000     x=1300000


 


Let the borrowing of Company B = y 


Interest of Company B = 576000


Rate of interest = 24%


y×24100=576000     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 = 100400×100 = 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 7900
Q:

Find the number of triangles in the given figure?

A) 18 B) 20
C) 24 D) 27
 
Answer & Explanation Answer: C) 24

Explanation:

The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number.

The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.

Total number of triangles in the figure = 8 + 10 + 6 = 24.

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Filed Under: Analytical Reasoning

37 7896
Q:

A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8m, the volume of the box (in m3) is:

A) 4830 B) 5120
C) 6420 D) 8960
 
Answer & Explanation Answer: B) 5120

Explanation:

ke

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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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12 7888
Q:

Satheesh is two years older than Goutham who is twice as old as Sai. If the total of the ages of Satheesh, Goutham and Sai is 27, then how old is Goutham?

A) 12 B) 10
C) 11 D) 13
 
Answer & Explanation Answer: B) 10

Explanation:
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Filed Under: Problems on Ages
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26 7887
Q:

Sweety is 54 years old and her mother is 80. How many years ago was Sweety's mother three times her age?

A) 20 B) 41
C) 26 D) 33
 
Answer & Explanation Answer: B) 41

Explanation:

Given P = 54 and M = 80

According to the question,

Let ‘A’ years ago, M = 3P

=> M - A/P - A = 3

=> 80 - A = 3(54 - A)

=> 80 - A = 162 - 3A

=> 2A = 82

=> A = 41

Therefore, A = 41 years ago Sweety’s mother was 3 times of Sweety’s age.

Hence, at the age S = 13 and M = 39.

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