Aptitude and Reasoning Questions

Q:

The probability that a card drawn at random from the pack of playing cards may be either a queen or an ace is:

A) 9/13 B) 11/13
C) 2/13 D) None of these
 
Answer & Explanation Answer: C) 2/13

Explanation:

Number of queen cards = 4

Number of ace cards = 4

 P(either a queen or ace) = 4/52 + 4/52= 8/52 = 2/13

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Filed Under: Probability

3 8392
Q:

A shopkeeper gives 20% discount on the marked price of a book. He provides 1 pair of books free with the sale of 9 pair of books. In the whole transaction, he gets profit of 26%. Find the percentage increase in marked price from the cost price.

A) 35% B) 65%
C) 75% D) 26%
 
Answer & Explanation Answer: C) 75%

Explanation:

Given,Let the cost price of single book be Rs. 100.

The cost price of (9 + 1) = 10 pair i.e. 20 books = Rs. (100 × 20) = Rs. 2000.He gets profit of 26%.

So, the selling price of 9 pair i.e. 18 books = Rs. 2000 × (126/100) = Rs. 2520

Then,the selling price of single book = Rs. 2520/18 = Rs. 140

He gives 20% discount on the marked price of a book.

That means, when the selling price is Rs. 80 then the marked price is Rs. 100.

∴When the selling price of single book is Rs. 140, the marked price = Rs. 140 × (100/80) = Rs. 175

∴The percentage increase in marked price from the cost price = (175 –100)% = 75%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

7 8391
Q:

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ?

A) 2(6!) B) 6! x 7
C) 6! x ⁷P₆ D) None
 
Answer & Explanation Answer: C) 6! x ⁷P₆

Explanation:

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

6 8387
Q:

If a parallelogram with area p, a triangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then

A) P=R B) P=A
C) P=A/2 D) P=2R
 
Answer & Explanation Answer: A) P=R

Explanation:

let each have base = b and height = h
then p = b*h, R = b*h and T = (1/2) * b*h
so P = R, P = 2T and T = (1/2)*R are all correct statements

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

2 8380
Q:

The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

A) 18 cm B) 12 cm
C) 16 cm D) 14 cm
 
Answer & Explanation Answer: D) 14 cm

Explanation:

circumference of a circle = 2πr

 

=> 2 × 22/7 × r – r = 37

 

=> 37/7 × r = 37

 

=> r = 7 cm.

 

Diameter D = 2r = 7×2 = 14 cm.

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

17 8372
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:

The present ages of Kavitha, Rajitha and Haritha are in the ratio of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A) 16,36,28 B) 16,28,36
C) 20,35,45 D) 12,21,27
 
Answer & Explanation Answer: B) 16,28,36

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

33 8361
Q:

A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

A) 400 B) 600
C) 900 D) 700
 
Answer & Explanation Answer: C) 900

Explanation:

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

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

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