# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 5 of 119

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## Question number: 1

» Mathematics » Basic Geometry

Appeared in Year: 2013

### Question

An open box A is made from a square piece of tin by cutting equal squares S at the corners and folding up the remaining flaps. Another open box B is made similarly using one of the squares S. If U and V are the volumes of A and B respectively, then which of the following is not possible?

### Choices

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

a. | V > U | |

b. | U = V | |

c. | Minimum value of U > maximum value of V. | |

d. | U > V |

## Question number: 2

» Mathematics » Quadratic Equations

Appeared in Year: 2013

### Question

, where *a, b, c * are real, has real roots if

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |

## Question number: 3

» Mathematics » Trigonometry

Appeared in Year: 2013

### Question

∆ ABC is an equilateral triangle of side cms.

P is any point in the interior of ∆ ABC. If *x, y, z * are the distances of P from the sides of the triangle, then x + y + z =

### Choices

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

a. | 2 + | |

b. | 4 cms. | |

c. | 3 | |

d. | 5 |

## Question number: 4

» Mathematics » Basic Geometry

Appeared in Year: 2013

### Question

Which of the following statements holds always?

### Choices

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

a. | Every rectangle is a square | |

b. | Every parallelogram is a trapezium | |

c. | Every parallelogram is a rectangle. | |

d. | Every rhombus is a square |

## Question number: 5

» Mathematics » Trigonometry

Appeared in Year: 2013

### Question

The value of tan 1° tan2° tan3°……. tan 89° is

### Choices

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

a. | 0 | |

b. | 0.5 | |

c. | 2 | |

d. | 1 |