Aptitude and Reasoning Questions

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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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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Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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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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Q:

How many ways can you select 17 songs for mix CD out of possible 38 songs?

A) 2878 B) 2878 x 10^2
C) 290183753 D) 2878 x 10^10
 
Answer & Explanation Answer: D) 2878 x 10^10

Explanation:

since it is a combination = 38C17 = 2878 x 10^10

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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. BMO, EOQ, HQS, ?

A) KSU B) SOV
C) SOW D) LMN
 
Answer & Explanation Answer: A) KSU

Explanation:

The first letter moves 3 steps forward. The second and third letters move 2 steps forward.

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Q:

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

A) 7.2 % B) 9.14 %
C) 7.13 % D) 6.709 %
 
Answer & Explanation Answer: D) 6.709 %

Explanation:

(100-x)%  of 88% of 8400 = 6896

 

=> 100-x10088100x8400 = 6896


=> x = 6.709%

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Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25 B) 3:25
C) 4:25 D) 6:25
 
Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

 

 

 

ratio of their areas = 12*2x2 :12*5x2 = 4:25

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