# Aptitude [3i Infotech Placement]: Sample Questions 11 - 13 of 76

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## Question 11

Aptitude
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### Write in Short

A wizard named Nepo says “I am only three times my son՚s age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old.” How old is Nepo?

### Explanation

Nepo said that he is three times my son՚s age.

Nepo՚s father is 40 years more than twice of Nepo՚s age.

let՚s say, Nepo՚s present age be n years, his son be s years old and his father be f years old.

So, from given information, and

We are given that sum of their ages is 1240 years.

We are asked to find the age of Nepo.

So,

So, Nepo՚s present age is 360 years.

## Question 12

Aptitude

### Question

MCQ▾

Which of the following equations can be used to find a number x, if the difference between the square of this number and 21 is the same as the product of 4 times the number?

Choice (4)

a.

b.

c.

d.

b.

### Explanation

The difference between the square of this number and 21 is the same as the product of 4 times the number.

The number x square is x2. So,

This is the same equation as given in option b.

## Question 13

Aptitude

### Question

MCQ▾

In a class of 40 students, 30 speak French and 20 speak German. What is the lowest possible number of students who speak both languages?

Choice (4)

a.

20

b.

15

c.

5

d.

10

d.

### Explanation

In a class of 40 students, 30 can speak French and 20 can speak German.

As there are only 40 students, there are some students who can speak both the languages.

We know,

So,

So, lowest possible numbers of students who can speak both the languages are 10.

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