# Numerical Ability [GATE (Graduate Aptitude Test in Engineering) Aptitude]: Questions 76 - 78 of 103

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## Question 76

Appeared in Year: *2021*

### Question

MCQ▾A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is ________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 77

Appeared in Year: *2018*

### Question

MCQ▾P, Q, R and S crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available

i. The boat held two persons on each of the three forward trips across lake and one person on each of the two return trips.

ii. P is unable to row when someone else is in the boat.

iii. Q is unable to row with anyone else except R.

iv. Each person rowed for at least one trip.

v. Only one person can row during a trip.

Who rowed twice?

### Choices

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

a. | Q | |

b. | P | |

c. | R | |

d. | S |

## Question 78

Appeared in Year: *2019*

### Question

MCQ▾Given two sets and Y we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of element having minimum and maximum values in the set Z is ________.

### Choices

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

b. | ||

c. | ||

d. |