# KVPY Stream-SA (Class 11) Math: Questions 80 - 84 of 251

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## Question number: 80

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

### Question

On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 16, 24 and 31. The volume of the cuboid lies between.

### Choices

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

a. | 21 and 28 | |

b. | 28 and 35 | |

c. | 7 and 14 | |

d. | 14 and 21 |

## Question number: 81

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2012

### Question

Let S = {1, 2, 3 … 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?

### Choices

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

a. | 20 | |

b. | 13 | |

c. | 10 | |

d. | 17 |

## Question number: 82

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2014

### Question

The number of 6-digit numbers of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is

### Choices

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

a. | 15 | |

b. | 10 | |

c. | 13 | |

d. | 8 |

## Question number: 83

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2010

### Write in Short

In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification,

## Question number: 84

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

### Question

Suppose Q is a point on the circle with centre P and radius 1, as shown in the figure; R is a point outside the circle such that QR = 1 and ∠QRP = 2? . Let S be the point where the segment RP intersects the given circle. Then measure of ∠RQS equals.

### Choices

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

a. | 89 | |

b. | 87 | |

c. | 88 | |

d. | 86 |