# 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?

### Choices

Choice (4) | |
---|---|

a. | 27 |

b. | 18 |

c. | 6 |

d. | 9 |

### Answer

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

### 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.