# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 1 - 4 of 103

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## Question 1

Appeared in Year: *2011*

### Question

MCQ▾The variable cost of manufacturing a product varies according to the equation , where is the quantity produced. The fixed cost of production of same product reduces with according to the equation . How many units should be produced to minimize the total cost ?

### Choices

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

a. | 5 | |

b. | 4 | |

c. | 7 | |

d. | 6 |

## Question 2

Appeared in Year: *2010*

### Question

MCQ▾Given digits . How many distinct digit numbers greater than can be formed?

### Choices

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

a. | 52 | |

b. | 51 | |

c. | 54 | |

d. | 50 |

## Question 3

Appeared in Year: *2020*

### Question

MCQ▾The revenue and expenditure of four different companies P, Q, R and S in 2015 are shown in the figure. If the revenue of company Q in 2015 was 20 % more than that in 2014, and company Q had earned a profit of 10 % on expenditure in 2014, then its expenditure (in million rupees) in 2014 was ________.

### Choices

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

a. | 35.1 | |

b. | 32.7 | |

c. | 33.7 | |

d. | 34.1 |

## Question 4

Appeared in Year: *2010*

### Question

MCQ▾persons are in a room. of them play hockey, of them play football and of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

### Choices

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

a. | 2 | |

b. | 17 | |

c. | 3 | |

d. | 13 |