# KVPY Stream-SA (Class 11) Math: Questions 99 - 103 of 251

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## Question number: 99

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

### Question

Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.

### Choices

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

a. | 60 < p < 65 | |

b. | 50 < p < 55 | |

c. | 65 < p < 70 | |

d. | 55 < p < 60 |

## Question number: 100

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

Appeared in Year: 2013

### Question

If a, b are natural numbers such that , then the minimum possible value of ab is.

### Choices

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

a. | 0 | |

b. | 2 | |

c. | 1 | |

d. | 3 |

## Question number: 101

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2012

### Question

In the adjacent figures, which has the shortest path?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question number: 102

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

### Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

### Choices

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

a. | 60 | |

b. |
| |

c. |
| |

d. | 49 |

## Question number: 103

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

### Question

If x, y are natural numbers such that , then the maximum possible value of xy is,

### Choices

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

a. | 5200 | |

b. | 41350 | |

c. | 40596 | |

d. | 51236 |