# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 79 - 82 of 103

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## Question 79

Appeared in Year: *2019*

### Question

MCQ▾It takes two hours for a person X to mow the lawn. Y can move the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to move the lawn?

### Choices

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

a. | 120 | |

b. | 60 | |

c. | 90 | |

d. | 80 |

## Question 80

Appeared in Year: *2019*

### Question

MCQ▾A person divided an amount of ₹ 100,000 into two parts and invested in two different schemes. In one he got 10 % profit and in the other he got 12 % . If the profit percentages are interchanged with these investments, he would have got ₹ 120 less. Find the ratio between his investments in the two schemes.

### Choices

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

a. | 11: 14 | |

b. | 47: 53 | |

c. | 37: 63 | |

d. | 9: 16 |

## Question 81

Appeared in Year: *2020*

### Question

MCQ▾A circle with centre O is shown in the figure. A rectangle PQRS of maximum possible area is inscribed in the circle. If the radius of the circle is a, then the area of the shaded portion is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 82

Appeared in Year: *2020*

### Question

MCQ▾A super additive function satisfies the following property

Which of the following functions is a super additive function for ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |