# KVPY Stream-SA (Class 11) Math: Questions 65 - 69 of 251

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## Question number: 65

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

### Question

In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure.

### Choices

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

a. | any value ≤ 90 | |

b. | 15 | |

c. | 45 | |

d. | 30 |

## Question number: 66

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2010

### Question

A closed conical vessel is filled with water fully and is placed with its vertex down. The water is flow out at a constant speed. After 21 minutes, it was found that the height of the water column is half of the original height. How much more time in minutes does it require to empty the vessel?

### Choices

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

a. | 21 | |

b. | 7 | |

c. | 14 | |

d. | 3 |

## Question number: 67

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

### Question

In a quadrilateral ABCD, which is not a trapezium, it is known that ∠DAB = ∠ABC = 60^{0}. Moreover, ∠CAB = ∠CBD. Then

### Choices

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

a. | AB = AC + AD | |

b. | AB = BC + CD | |

c. | AB = AD + CD | |

d. | AB = BC + AD |

## Question number: 68

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2010

### Question

22. If x, y are real numbers such that , then the value of is

### Choices

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

a. | 3 | |

b. | 2 | |

c. | 0 | |

d. | 1 |

## Question number: 69

» Basic Mathematics » Arithmetic » Ratio and Proportion

### Question

In a concert, the charge of pass per person is Rs. 500. On the first day, only 40 % of the passes were sold. The owner decided to reduce the price by 30 % and there was an increase of 60 % in the number of passes sold on the next day. The percentage increase in the revenue on the second day was

### Choices

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

a. | 13 | |

b. | 12 | |

c. | 10 | |

d. | 11 |