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Aptitude and Reasoning Questions

Q:

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

A) 427 B) 531
C) 651 D) 714
 
Answer & Explanation Answer: B) 531

Explanation:

Given in the question that, there are 7 boys and 6 girls. 

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team = 

(6C3  x 7C2)  + (6C4 x 7C1) + (6C5)= [6x5x43x2x1 x 7x62x1] + [6x5x4x34x3x2x1 x 7] + [6x5x4x3x25x4x3x2x1]= 420 + 105 + 6= 531.

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Q:

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

A) 48 sq units B) 24 sq units
C) 12 sq units D) 6 sq units
 
Answer & Explanation Answer: B) 24 sq units

Explanation:

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

 

Here the two sides are 8 & 12

Angle = 150

 

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

 

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

 

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Filed Under: Area
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Q:

The population of a city is 415600.It increased by 25% in the first year and decreased by 30% in the second year.What is the population of the city at the end of second year?

Answer

As per given data, P = 415600, R1= 25% incresed, R2 = 30% decreased


Population of the city at the end of the second year= 



363650.

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Subject: Percentage Exam Prep: CAT
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12 3983
Q:

If 5+237+43 = a + b3 then a & b = ?

A) a=-11,b=-6 B) a=-11,b=6
C) a=11,b=-6 D) a=11,b=6
 
Answer & Explanation Answer: C) a=11,b=-6

Explanation:
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Filed Under: Square Roots and Cube Roots
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Q:

Maheshwari wants to buy 7 floors in an 68 storied building whose numbering stars from 1 upto 68. But she has to follow certain rules which are as follows :

1) None of the floor should be a prime number

2) None of the digit of the floor should be a prime number

3) Maheshwari cannot buy the 1st floor as it is being assigned to the architect.

So how many options are left with Maheshwari to buy the floors ?

A) 11 B) 17
C) 13 D) 19
 
Answer & Explanation Answer: B) 17

Explanation:

Since floor starts form the 1 therefore 2 will be the 1st floor.
Form 1 to 10 only 4,6,8,9,10 are not prime.
Form 11 to 20 only 14 ,16,18 are not prime also non of their digits are prime.
From 21 to 30 each number has a prime number so it must no be consider.
In between 40 to 49 we have to consider only 40,44,46,48,49.
50 to 59 follow either of the condition so we have too neglect it.
In between 60 to 68 60,64,66,68.
total option = 17.

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Filed Under: Numbers
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4 3981
Q:

The first of April is a Wednesday. What day of the week will it be on the first of May of the same year?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: B) Friday

Explanation:
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Filed Under: Calendar
Exam Prep: Bank Exams

29 3976
Q:

Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?

A) 3 hrs B) 3.5 hrs
C) 2.5 hrs D) 2 hrs
 
Answer & Explanation Answer: D) 2 hrs

Explanation:

Given Prabhas is twice as good a workman as Rana.

Prabhas finishes the work in 3 hrs

=> Rana finishes the work in 6 hrs.

Number of hours required together they could finish the work

= 3 x 6 / 3 + 6

= 18/9

= 2 hrs.

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Filed Under: Time and Work
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Q:

Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence.

In which part of the sentence there is an error ?

A) He is B) Not agreeing
C) To me. D) No error
 
Answer & Explanation Answer: C) To me.

Explanation:

Replace 'to' by 'with'.

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Filed Under: Analogy
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