Aptitude and Reasoning Questions

Q:

Identify the diagram that best represents the relationship among the given classes.

Cricketer, Footballer, Indian

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

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Q:

fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ?

A) 3/91 B) 2/73
C) 1/91 D) 3/73
 
Answer & Explanation Answer: A) 3/91

Explanation:

In a circle of n different persons, the total number of arrangements possible = (n - 1)!
Total number of arrangements = n(S) = (15 – 1)! = 14 !
Taking three persons as a unit, total persons = 13 (in 4 units)
Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!
In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =
n(E) = 12! X 3!
Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!
= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91

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

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Q:

 

The given table represents the marks obtained by four students W, X, Y and Z in four subjects P, C, B and M, with the maximum marks in each subject being 100. Based on the given data, the student who got the lowest percentage in P, C, M and B combined is

A) Y B) X
C) Z D) W
 
Answer & Explanation Answer: A) Y

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

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Q:

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

  Ratio of Value of Imports to Exports by a Company Over the Years.

1. If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?

A. Rs. 250 cr         B. Rs. 300 cr         C. Rs. 357 cr         D. Rs. 420 cr

 

2. The imports were minimum proportionate to the exports of the company in the year ?

A. 1995                 B. 1996                 C. 1997                 D. 2000

 

3. What was the percentage increase in imports from 1997 to 1998 ?

A. 72                     B. 56                     C. 28                     D. Data Inadequate

 

4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A. Rs. 370 cr         B. Rs. 320 cr         C. Rs. 280 cr         D. Rs. 275 cr

 

5. In how many of the given years were the exports more than the imports ?

A. 1                       B. 2                       C. 3                       D. 4

Answer

1. ANSWER : D 


Explanation - The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively. 


Let the exports in the year 1999 = Rs. x crores.  


Then, the exports in the year 1998 = Rs. (500 - x) crores. 


 250500-x = 1.25 => x = 300 crores      [ Using ratio for 1998 ]  


Thus, the exports in the year 1999 = Rs. 300 crores. 


 


Let the imports in the year 1999 = Rs. y crores.  


Then, Imports in the year 1999 = y300=1.4 => y = 420= Rs. 420 crores.


 


2. ANSWER : C


Explanation - The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.


Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997. 


 


3. ANSWER : D 


Explanation - The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. 


Hence, the data is inadequate to answer this question. 


 


4. ANSWER : B 


Explanation -  Ratio of imports to exports in the year 1996 = 0.85. 


Let the exports in 1996 = Rs. x crores. 


Then , 272x = 0.85 => x = 320  


Exports in 1996 = Rs. 320 crores.  


 


5. ANSWER : D  


Explanation - The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000. 


Thus, there are four such years.

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Subject: Line Charts Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

38 12654
Q:

A, B, C, D and E are sitting in a row. B is between A and K Who among them is in the middle ? 

I. A is left of 13 and right of D. 

II.C is at the right end. 

A) If the data in statement I alone are sufficient to answer the question B) If the data in statement II alone are sufficient answer the question
C) If the data either in I or II alone are sufficient to answer the question; D) If the data in both the statements together are needed.
 
Answer & Explanation Answer: D) If the data in both the statements together are needed.

Explanation:

Clearly, we have the order : A. a E. From I, we have the order : D, A, B. E.

From II, we get the complete sequence as D, A, B. E, C.

Clearly. B is in the middle. So, both I and II are required. 

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Filed Under: Data Sufficiency

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Q:

The positions of the first and sixth digits in the number 5109238674 are interchanged. Similarly the positions of the second and the seventh digits are interchanged and so on . which of the following will be the third digit from the right end after the after the rearrangement?

A) 9 B) 0
C) 6 D) 3
 
Answer & Explanation Answer: B) 0

Explanation:

There are 10 digits. Now, third digit from the right means (10-3+1 = ) 8th digit from the left.  But, from the question , third  and eighth digits are interchanged. Hence, the required digit is the third digit of the given number, ie 0.

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Q:

A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by

A) 54 kms B) 32 kms
C) 45 kms D) 60 kms
 
Answer & Explanation Answer: D) 60 kms

Explanation:

Let the distance be d.

 d8-2-d8+2 = 4

 

=> 2d = 120 

 

=> d = 60 kms.

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

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Q:

The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is

A) 1200 B) 1764
C) 1600 D) 1354
 
Answer & Explanation Answer: B) 1764

Explanation:

ke

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Filed Under: True Discount

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