Aptitude and Reasoning Questions

Q:

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?

 

A) 5/12   B) 13/5  
C) 5/13 D) 13/12
 
Answer & Explanation Answer: D) 13/12

Explanation:
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Exam Prep: Bank Exams

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Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A) 4050 B) 3600
C) 1200 D) 5040
 
Answer & Explanation Answer: D) 5040

Explanation:

'LOGARITHMS' contains 10 different letters.

 

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.

 

10P4

 

= 5040.

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Q:

The two equations x - 4y = 0 and 4x + 3y = 19 have a solution (a, b). Find the value of aba + 4b.

 

A) 1/4 B) 1/2
C) 1 D) 23
 
Answer & Explanation Answer: B) 1/2

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Q:

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by

A) 21 m B) 26 m
C) 28m D) 29m
 
Answer & Explanation Answer: C) 28m

Explanation:

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Q:

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

A) 20 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: B) 200

Explanation:

Let length of plot = L meters, then breadth = L - 20 meters

and perimeter = 2[L + L - 20] = [4L - 40] meters

[4L - 40]  * 26.50 = 5300

[4L - 40] = 5300 / 26.50 = 200

4L = 240

L = 240/4= 60 meters. 

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Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:

i) Let the ages of the five members at present be a, b, c, d & e years. 

And the age of the new member be f years. 

ii) So the new average of five members' age = (a + b + c + d + f)/5 ------- (1) 

iii) Their corresponding ages 3 years ago = (a-3), (b-3), (c-3), (d-3) & (e-3) years 

So their average age 3 years ago = (a + b + c + d + e - 15)/5 = x ----- (2) 

==> a + b + c + d + e = 5x + 15 

==> a + b + c + d = 5x + 15 - e ------ (3) 

iv) Substituting this value of a + b + c + d = 5x + 15 - e in (1) above, 

The new average is: (5x + 15 - e + f)/5 

Equating this to the average age of x years, 3 yrs, ago as in (2) above, 

(5x + 15 - e + f)/5 = x 

==> (5x + 15 - e + f) = 5x 

Solving e - f = 15 years. 

Thus the difference of ages between replaced and new member = 15 years.

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Q:

In each of the following questions find out the alternative which will replace the question mark.

Graceful : Clumsy :: ?:?

A) Horror : Sympathy B) Laugh : Cry
C) Recapitulate : Synopsis D) Encumber : Burden
 
Answer & Explanation Answer: B) Laugh : Cry

Explanation:

Graceful means showing elegance and clumsy means ungraceful or awkward. Both are opposite to each other. Similarly, laugh and cry are opposite to each other.

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Filed Under: Analogy

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Q:

Solve the following :

 

 

24 - [25 - 26 - 27 - 28 - 29¯] = ?

 

 

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

Explanation:
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Exam Prep: Bank Exams

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