# Basic Mathematics (KVPY Stream-SA Math): Questions 17 - 21 of 156

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## Question number: 17

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

### Question

Suppose S_{1} and S_{2} are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is

### Choices

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

a. | 9 | |

b. | 8 | |

c. | 11 | |

d. | 10 |

## Question number: 18

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

### Question

In a triangle ABC with ∠A = 90°, P is a point on BC such that PA: PB = 3: 4. If and , then BP: PC is.

### Choices

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

a. | 8: 7 | |

b. | 4: 3 | |

c. | 4: 5 | |

d. | 2: 1 |

## Question number: 19

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2009

### Question

The number of pairs of reals (x, y) such that and is

### Choices

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

a. | 4 | |

b. | 2 | |

c. | 3 | |

d. | 1 |

## Question number: 20

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2013

### Question

A person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. The time, expressed in seconds, taken by Y to complete one round is

### Choices

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

a. | 55 | |

b. | 12.5 | |

c. | 25 | |

d. | 24 |

## Question number: 21

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

### Question

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is

### Choices

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

a. | 10 | |

b. | 9 | |

c. | 8 | |

d. | infinitely many |