# Aptitude [Tech Mahindra Placement]: Sample Questions 25 - 26 of 42

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## Question 25

Aptitude

### Question

MCQ▾

Numerator and denominator are in the ratio of 2: 3. If 6 is subtracted from the Numerator, thee result will be a fraction that has a value of the original fraction. Then what will be the numerator of original fraction?

Choice (4)

a.

27

b.

18

c.

6

d.

9

d.

### Explanation

• Let initially numerator and denominator be 2x and 3x respectively. If 6 is subtracted from the Numerator, the result will be a fraction that has a value 2/3 of the original fraction.
• After subtracting 6 from numerator, it will be
• Now result is, 2/3 times of the original fraction.

• Numerator of the original fraction will be 9.

## Question 26

Aptitude
Edit

### Write in Short

What will be the next term of the series?

2, 5, 9,19, 37, (?)

### Explanation

• First term of the series is 2.
• Second term of the series is 5, which can be expressed as
• Third term of the series is 9, which can be expressed as 5 2 - 1 = 9
• Fourth term of the series is 19, which can be expressed as 9 2 + 1 = 19
• Fifth term of the series is 37, which can be expressed as 19 2 - 1 = 37
• Applying the same pattern,
• Sixth term will be twice of previous term plus one.
• So, sixth term will be 37 2 + 1 = 75.
• Next term of the series is 75.

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