# Aptitude [3i Infotech Placement]: Sample Questions 32 - 34 of 76

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## Question 32

### Question

MCQ▾If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream?

### Choices

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

a. | 34 km/hr |

b. | 13 km/hr |

c. | 26 km/hr |

d. | None of the above |

### Answer

b.### Explanation

Boat is moving in upstream with velocity of 14 kmph and downstream with a velocity of 40 kmph.

Upstream speed, b = 14 kmph

Downstream speed, a = 40 kmph

We are asked to find the speed of stream.

Speed of stream will be,

= 13 kmph

So, speed of stream is 13 kmph.

## Question 33

### Question

MCQ▾A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?

### Choices

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

a. | 144 sq. m |

b. | 155 sq. m |

c. | 38.5 sq. m |

d. | 19.25 sq. m |

### Answer

c.### Explanation

A goat is tied to one corner of a square plot of side 12 m by a rope of 7 m long.

We are asked to find the area that goat can graze.

As goat is tied at one corner of the square, it can cover only (1/4) (pi x r2) area.

Here, r = 7m

So, area that can be grazed by goat

= 38.5 sq. m

## Question 34

### Question

MCQ▾If , then =

### Choices

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

a. | |

b. | 2 |

c. | 1 |

d. |

### Answer

c.### Explanation

The given equation is

We are asked to find the value of , which will be = = 1