# KVPY Stream-SB-SX Math: Questions 117 - 120 of 155

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## Question number: 117

» Limits, Continuity, Differential Calculus » Continuity

Appeared in Year: 2013

### Question

For real with define , where for a real number we denote by the largest integer less than or equal to . The number of points of discontinuity of in the interval is – (Model Paper)

### Choices

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

a. | 18 | |

b. | 10 | |

c. | 0 | |

d. | 19 |

## Question number: 118

» Integral Calculus » Fundamental Theorem of Calculus

Appeared in Year: 2013

### Question

For a real number let denote the largest integer less than or equal to and . The smallest possible integer value of for which exceeds 2013 is – (Model Paper)

### Choices

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

a. | 90 | |

b. | 64 | |

c. | 63 | |

d. | 91 |

## Question number: 119

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

### Question

For given two functions,

and .

Which of the following statement are true?

Domain of Domain of

Domain of Domain of

Domain of Domain of

Domain of Domain of (Model Paper)

### Choices

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

a. | Only (i) and (iv) | |

b. | Only (i) | |

c. | Only (i) and (ii) | |

d. | Only (iii) and (iv) |

## Question number: 120

» Coordinate Geometry » Equations of a Line

Appeared in Year: 2013

### Question

If are positive real numbers such that the lines and are parallel, then the least possible value of is – (Model Paper)

### Choices

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

a. | 6 | |

b. | 13 | |

c. | 12 | |

d. | 8 |