# Aptitude [3i Infotech Placement]: Sample Questions 23 - 25 of 76

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## Question 23

### Question

MCQ▾A man speaks the truth out of times. He throws a die and reports it to be a . What is the probability of it being a ?

### Choices

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

a. | |

b. | |

c. | |

d. | All of the above |

### Answer

a.### Explanation

Probability of getting on a die

Probability of not getting

Probability of the man getting on a die and reporting it as

Truth .

Probability of the man NOT getting in a die and reporting it as

Lying

Required probability is the probability of getting the and the man not lying,

## Question 24

### Question

MCQ▾If R, S, and Q can wallpaper a house in 8 hours and R and S can do it in 12 hours, how long will it take Q alone to wallpaper the house?

### Choices

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

a. | 12 hours |

b. | 8 hours |

c. | 20 hours |

d. | 24 hours |

### Answer

d.### Explanation

R, S and Q together can complete the work in 8 hours.

R and S can do the same work in 12 hours.

We are asked to find the time taken by Q to complete the same work.

Let Q is taking x hours to complete the work.

So, Q alone will take 24 hours to complete the work.

## Question 25

### Write in Short

Short Answer▾Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

### Explanation

Three cards are drawn at random from a pack of 52 cards.

So, probability of sample space,

We are asked to find the probability that card will be a king, a queen and an ace.

We know that there are total 4 kings, 4 queens and 4 aces in the pack of 52 cards.

So, probability of event,

So, probability of getting a king, a queen and an ace