Aptitude and Reasoning Questions

Q:

There are n boxes and m fruits. If we put 3 fruits in each box 3 fruits will be excess. If we put 4 fruits in each box 1 box will be excess. Find number of boxes and fruits ?

A) 3 & 9 B) 6 & 19
C) 7 & 24 D) 5 & 18
 
Answer & Explanation Answer: C) 7 & 24

Explanation:

7 boxes & 24 Balls.
Let, n = No. of boxes ; m = No. of fruits
3n+3 = m---------->(1)
4(n-1)= m---------->(2)
=>4n-4 = 3n+3;
=>4n-3n = 4+3
n = 7
Put n=7 in eqn(1)
=> 3(7)+3 = m
21+3 = m
m = 24;

Number of boxes = 7 and fruits = 24

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Filed Under: Arithmetical Reasoning
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Q:

A man travels 480 km in 4 hours, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he would have taken to travel by train and would have arrived at his destination 2 hours early. Find the distance he covered by travelling by train.

A) 80 km B) 120 km
C) 110 km D) 90 km
 
Answer & Explanation Answer: B) 120 km

Explanation:
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Filed Under: Time and Distance
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Q:

Consider the argument and decide which of the given assumptions is/are implicit.

 

Argument :

 

If you're a classical dancer we have an exciting job for you.

 

Assumptions :

 

1. We need a classical dancer.

2. You are a classical dancer.

 

A) Both 1 and 2 are implicit B) Only assumption 1 is implicit
C) Only assumption 2 is implicit D) Neither 1 nor 2 is implicit
 
Answer & Explanation Answer: B) Only assumption 1 is implicit

Explanation:
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Filed Under: Statement and Assumptions
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Q:

In how many ways can 4 sit at a round table for a group discussions?

A) 9 B) 3
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

Explanation:

We get this using the formula of circular permutations i.e., (4 - 1)! = 3! =6

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Q:

2, 16, 3, 81, 4, ?

A) 99 B) 125
C) 256 D) 396
 
Answer & Explanation Answer: C) 256

Explanation:

The given number series is 2, 16, 3, 81, 4, ?

2

2^4 = 16

3

3^4 = 81

4

4^4 = 256

 

Hence, the next number is 256.

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Filed Under: Number Series
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Q:

For S = $21,000, payments (R) of $1500 at the end of each 6-month periodi= 10% compounded semi-annually. Find the minimum number of payments to accumulate 21,000.

A) 10 B) 11
C) 12 D) 13
 
Answer & Explanation Answer: B) 11

Explanation:

S=R[(1+i)^n-1)/i]

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Filed Under: Compound Interest
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Q:

What is 15 of 80 with simple method and examples?

A) 12.5% B) 18.75%
C) 16.55% D) 17.80%
 
Answer & Explanation Answer: B) 18.75%

Explanation:

Given that to find 15 of 80

=> What % of 80 is 15

Let it be 'p'

=> p% of 80 = 15

=> p x 80100 = 15p = 15 x 10080p = 150080 = 18.75

 

Therefore, 15 is 18.75% of 80 => 18.75% of 80 = 15

 

Example::

Now, in the similar way we can find 15% of 80 =?

=> 15x80/100 = p

=> p = 4 x 3 = 12

 

Therefore, 15% of 80 = 12

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Filed Under: Percentage
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Q:

The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 30 years, what is father's age ?

A) 42 yrs B) 45 yrs
C) 36 yrs D) 38 yrs
 
Answer & Explanation Answer: B) 45 yrs

Explanation:

Let father's age be x year and son's age be y year.

According to question,

2(x+y) = 8y _______(I)

and (x+y)/2 = 30

=> x+y = 60 years__________(II)

From equation (I) and (II)

8 y = 120

y = 15 years,

Hence x = 45 years.

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Filed Under: Problems on Ages
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