Aptitude and Reasoning Questions

Q:

Choose the correct alternative that will continue the same pattern and replace 'x' in series 4,9,25,x,121,169,289,361

A) 81 B) 36
C) 64 D) 49
 
Answer & Explanation Answer: D) 49

Explanation:

The given series consists of squares of consecutive prime numbers
2*2, 3*3, 5*5,  . . . . , 11*11, 13*13, 17*17

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Filed Under: Number Series

39 11703
Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24% B) 29%
C) 34% D) 25%
 
Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = klx100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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12 11701
Q:

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

Cosmetics, Talc, Eyeliner

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

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

1 11698
Q:

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A) 7:4 B) 11:4
C) 4:7 D) 8:3
 
Answer & Explanation Answer: D) 8:3

Explanation:

Let the speed of the boat upstream be p kmph and that of downstream be q kmph

 

Time for upstream = 8 hrs 48 min = 845hrs

 

Time for downstream = 4 hrs

 

Distance in both the cases is same.

 

=> p x  845= q x 4

 

=> 44p/5 = 4q

 

=> q = 11p/5

 

 Now, the required ratio of Speed of boat : Speed of water current

 

q+p2:q-p2

 

=> (11p/5 + p)/2  : (11p/5 - p)/2

 

=> 8 : 3

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Filed Under: Boats and Streams
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25 11696
Q:

Read the given statements carefully and answer the question.

 

Statement :

 

The main reasons behind cyber criminals using international phone numbers to cheat the public, by asking their secured credit card details are

 

1) it is easy to convince people and

2) it is difficult to trace the calls coming from foreign countries.

 

Which of the following is true according to the given statement ?

 

A) There are only two reasons behind such calls B) People have full faith in foreign calls
C) It is not possible to trace foreign calls D) Cyber criminals prefer international calls to cheat gullible people
 
Answer & Explanation Answer: D) Cyber criminals prefer international calls to cheat gullible people

Explanation:
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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams

0 11672
Q:

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A) 8p B) pq
C) pq+27 D) -p
 
Answer & Explanation Answer: C) pq+27

Explanation:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5

Consider the answer choices in turn.

8 is the cube of 2, and p is a cube, and so the product will also be a cube.

pq will also be a cube as shown above.

pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube.

-p will be a cube.

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).

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Filed Under: Numbers

7 11667
Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12 B) 8 : 13
C) 9 : 4 D) 2 : 5
 
Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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19 11664
Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0 B) 10
C) 30 D) 60
 
Answer & Explanation Answer: B) 10

Explanation:

Angle traced by hour hand in 133hrs = 36012×13301300 

Angle traced by min. hand in 20 min = 36060×200 =1200 

Required angle = (130 - 120)º = 10º

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

18 11662