Aptitude and Reasoning Questions

Q:

If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is  ?

A) 1 B) 1/2
C) 0 D) 3/5
 
Answer & Explanation Answer: B) 1/2

Explanation:

The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.

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Filed Under: Probability
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Q:

An unbiased die is tossed.Find the probability of getting a multiple of 3.

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

Explanation:

Here S = {1,2,3,4,5,6}

Let E be the event of getting the multiple of 3

Then, E = {3,6}

P(E) = n(E)/n(S) = 2/6 = 1/3 

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Q:

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ?

A) 5 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.

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Filed Under: Numbers
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26 18211
Q:

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?

A) 180 B) 220
C) 240 D) 160
 
Answer & Explanation Answer: A) 180

Explanation:

Number of ways of choosing 2 black pens from 5 black pens in 5C2 ways.

 

Number of ways of choosing 2 white pens from 3 white pens in 3C2 ways.

 

Number of ways of choosing 2 red pens from 4 red pens in 4C2ways.

 

By the Counting Principle, 2 black pens, 2 white pens, and 2 red pens can be chosen in 10 x 3 x 6 =180 ways.

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Q:

In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg ?

Answer


= 4 : 2 = 2 : 1


Thus, the two varieties should be mixed in the ratio 2 : 1

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Q:

Should cutting of trees be banned altogether?

Arguments:

I. Yes. It is very much necessary to do so to restore ecological balance.

II. No. A total ban would harm timber based industries.

A) Only argument I is strong B) Only argument II is strong
C) Neither I nor II is strong D) Both I and II are strong
 
Answer & Explanation Answer: D) Both I and II are strong

Explanation:
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Filed Under: Statement and Arguments
Exam Prep: GRE

6 18201
Q:

Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).

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

Explanation:
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Filed Under: Image Analysis

69 18191
Q:

Use each of the following figures only once and form three groups. The three groups so formed are

 

 

A) (1,3,5), (2,6,8), (4,7,9) B) (1,3,5), (2,7,8), (4,6,9)
C) (1,3,9), (2,6,8), (4,7,5) D) (1,3,5), (2,6,9), (4,7,8)
 
Answer & Explanation Answer: A) (1,3,5), (2,6,8), (4,7,9)

Explanation:
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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

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