# GATE (Graduate Aptitude Test in Engineering) Aptitude: Questions 41 - 45 of 105

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## Question 41

Appeared in Year: *2015*

### Question

MCQ▾Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches?

### Choices

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

a. | 10 | |

b. | 8 | |

c. | 20 | |

d. | 5 |

## Question 42

Appeared in Year: *2015*

### Question

MCQ▾Given Set and Set two numbers are randomly selected one from each set. What is the probability that the sum of the 2 numbers equals 16?

### Choices

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

a. | 0.33 | |

b. | 0.20 | |

c. | 0.25 | |

d. | 0.3 |

## Question 43

Appeared in Year: *2021*

### Question

MCQ▾Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q.

The number of distinct seating arrangements possible is:

### Choices

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

a. | 16 | |

b. | 10 | |

c. | 8 | |

d. | 4 |

## Question 44

Appeared in Year: *2013*

### Question

MCQ▾Select the pair that best expresses a relationship similar to that expressed in the pair:

### Choices

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

a. | Wealth: Peace | |

b. | Money: Happiness | |

c. | Education: Knowledge | |

d. | Science: Experiment |

## Question 45

Appeared in Year: *2016*

### Question

MCQ▾The binary operation is defined as , where and are any two real numbers. The value of the identity element of this operation, defined as the number such that , for any is

### Choices

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

a. | 1 | |

b. | 0 | |

c. | 2 | |

d. | 10 |