# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 49 - 53 of 103

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## Question 49

Appeared in Year: *2014*

### Question

MCQ▾If , then the tangent at

### Choices

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

a. | passes through | |

b. | has a slope of | |

c. | Is parallel to the axis | |

d. | Has a slope of |

## Question 50

Appeared in Year: *2021*

### Question

MCQ▾If then, the value of the expression

### Choices

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

a. | 6 | |

b. | ||

c. | ||

d. | 7 |

## Question 51

Appeared in Year: *2020*

### Question

MCQ▾The figure below shows an annular ring with outer and inner radii as b and a, respect. The annular space has been painted in the form of blue colour circles touching the and inner periphery of annular space. If maximum n number of circles can be painted, then the unpainted area available in annular space is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 52

Appeared in Year: *2017*

### Question

MCQ▾The number of digit numbers such that the digit is never to the immediate right of is:

### Choices

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

a. | 781 | |

b. | 891 | |

c. | 881 | |

d. | 791 |

## Question 53

Appeared in Year: *2017*

### Question

MCQ▾Fatima starts from point , goes North for , and then East for to reach point . She then turns to face point and goes in that direction. She then goes North for . How far is she from point , and in which direction should she go to reach point ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |