# KVPY Stream-SA (Class 11) Math: Questions 85 - 88 of 251

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## Question number: 85

» Basic Mathematics » Geometry » Lines and Angles

Appeared in Year: 2013

### Question

Ten points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions each containing four of the remaining points is,

### Choices

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

a. | 10 | |

b. | 1 | |

c. | 5 | |

d. | Dependent on the configuration of points |

## Question number: 86

» Coordinate Geometry » Section Formula

Appeared in Year: 2010

### Question

A rectangle is divided into 16 sub-rectangles as in the figure; the number in each sub rectangle represents the area of that sub-rectangle. What is the area of the rectangle KLMN?

### Choices

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

a. | 30 | |

b. | 40 | |

c. | 50 | |

d. | 20 |

## Question number: 87

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

### Question

The number of all 3-digit numbers abc (in base 10) for which,

is

### Choices

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

a. | 6 | |

b. | 14 | |

c. | 10 | |

d. | 18 |

## Question number: 88

» Sequence and Series » Arithmetico - Geometric Progression

Appeared in Year: 2013

### Question

Let a, b, c, d, e be natural numbers in an arithmetic progression such that a + b + c + d + e is the cube of an integer and b + c + d is square of an integer. The least possible value of the number of digits of c is.

### Choices

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

a. | 5 | |

b. | 2 | |

c. | 4 | |

d. | 3 |