# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 97 - 100 of 103

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## Question 97

Appeared in Year: *2021*

### Question

MCQ▾The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 98

Appeared in Year: *2020*

### Question

MCQ▾a, b, c are real numbers. The quadratic equation has equal roots, which is , then.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 99

Appeared in Year: *2019*

### Question

MCQ▾Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests.

Request by X: Due to pollen allergy, I want to avoid a wing next to the garden.

Request by Y: I want to live as far from the washrooms as possible, since I am very sensitive to smell.

Request by Z: I believe in Vaastu and so want to stay in the South-west wing.

The shaded rooms are already occupied. WR is washroom.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 100

Appeared in Year: *2018*

### Question

MCQ▾A designer uses marbles of four different colours of his designs. The cost of each marble is the same, irrespective of the colour. The table below shows the percentage of marbles of each colour used in the current design. The cost of each marble increased by 25 % . Therefore, the designer decided to reduce equal numbers of marbles of each colour to keep the total cost unchanged. What is the percentage of blue marbles in the new design?

Blue | Black | Red | Yellow |

40 % | 25 % | 20 % | 15 % |

### Choices

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

a. | 43.75 | |

b. | 35.75 | |

c. | 46.25 | |

d. | 40.25 |