Aptitude and Reasoning Questions

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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Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less B) Rs. 202 more
C) Rs. 175 more D) Rs. 168 less
 
Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) -  (12 x 250) = - Rs.168.

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Q:

What is one way to appeal to ethos?

A) By referencing trusted sources B) By starting with a specific argument
C) By creating a repetitive pattern D) By choosing descriptive nouns
 
Answer & Explanation Answer: C) By creating a repetitive pattern

Explanation:

The Three Rhetorical Appeals is an argument made by Aristotle in which he states that there are three elements to the art of persuasion: ethos, pathos and logos.

 

Ethos is the ethical appeal, which intends to persuade the audience of the author's credibility/character.

Pathos is the emotional appeal, which intends to persuade the audience by appealing to their emotions.

Logos is the logical appeal, which intends to persuade the audience using reason and logic.

 

In order to make an ethos, or ethical appeal, convince the audience that you are a reliable, intelligent and can be trusted. Here is how you can achieve this:

1. Provide personal experience or know someone whose experience can relate to what you are talking about

2. Use detailed and recent research in your argument

3. Use professional and appropriate vocabulary

4. Avoid sounding overly emotional

5. Only use first person when talking about personal experience; otherwise, write in third person.

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Q:

An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ?

A) Rs. 38000 B) Rs. 47000
C) Rs. 50000 D) Rs. 35000
 
Answer & Explanation Answer: C) Rs. 50000

Explanation:

Let 'x' be the amount he had in the bank.

=> 20/100(25/100(30/100(x))) = 750

x = 750 x 8000/120 = Rs. 50000

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Q:

19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?   

A) Rs. 1398.96 B) Rs. 1457.09
C) Rs. 1662.35 D) Rs. 1536.07
 
Answer & Explanation Answer: D) Rs. 1536.07

Explanation:

Let average expenditure was Rs. R

13 x 79 + 6x(R + 4) = 19R

=> R = Rs. 80.84

Total money = 19 x 80.84 = Rs. 1536.07.

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Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000       2. Rs.1900000       3. Rs.2160000       4. Rs.1850000       5.Rs.2250000

 

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000     2. Rs.16000     3. Rs.13000     4. Rs.15000     5. Rs.15500

 

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18           2. 34:37           3. 42:41           4. 31:27           5. 27:25

 

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000       2. Rs.6400000       3. Rs.5900000       4. Rs.8700000       5.Rs.7800000

 

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67%             2. 84%             3. 75%             4. 77%             5. 80%

Answer

1. Answer : 3 


Explanation : Expenditure of Company B = 60 lakh 


 Income of Company B = 60×180100= 108 lakh = 1 crore 8 lakh


 Income of Company A  = 10800000×45 = Rs. 8640000


 Therefore, Required differeence = 10800000 - 8640000 = Rs.2160000


 


  


2. Answer : 1


 Explanation :  Total expenditure on the employees of company A = 5000000×28100 = Rs.1400000


 Average Salary of the employees  = 1400000100 = Rs.14000


 


 3. Answer : 1


 Explanation : Tax paid by Company A : Tax paid by Company B


 = 5000000×141006000000×6100


 = 700000 : 3600000  = 35 : 18


  


4. Answer : 2 


Explanation : Difference = 6000000×34100-5000000×28100 


= 2040000 - 1400000 = Rs.640000


 


5. Answer : 5


 Explanation :  Expenditure on Machine and Electricity of Company B = 6000000×18100 = Rs.1080000 = 10.8 lakh


 Expenditure on Machine and Electricity of Company A = 5000000×12100 = Rs.600000 = 6 lakh


 Therefore, Required % = 1080000-600000600000×100  % = 4860×100% = 80%


 Hence expenditure of Company B is 80% more than Company A.

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Subject: Pie Charts

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Q:

Tile : Mosaic :: Knot : ?

A) Embroidery B) Abacus
C) Macrame D) Easle
 
Answer & Explanation Answer: C) Macrame

Explanation:

Just as tiles in mosaic make a pattern, so also the knots in a piece of macrame make a pattern.

Hence, Tile : Mosaic :: Knot : Macrame.

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Q:

Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ?

A) 23 B) 24
C) 25 D) 26
 
Answer & Explanation Answer: D) 26

Explanation:

Let, Hema attempted 'k' sum correctly, then

k x 3 -2 x(35-k) = 60
5k = 130
k = 26

so 26 correct sums.

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