# Mathematics [NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension]: Questions 1 - 5 of 112

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## Question 1

### Question

MCQ▾A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 m when it has traced out 72° at the center, then the length of the rope is

### Choices

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

a. | 72 m | |

b. | 70 m | |

c. | 80 m | |

d. | 85 m |

## Question 2

Appeared in Year: *2013*

### Question

MCQ▾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. | U > V | |

b. | V > U | |

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

d. | U = V |

## Question 3

Appeared in Year: *2013*

### Question

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

### Choices

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

a. | ac > b 0 and is zero | |

b. | ||

c. | a b c are integers | |

d. | All of the above |

## Question 4

Appeared in Year: *2013*

### Question

MCQ▾Which of the following statements holds always?

### Choices

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

a. | Every parallelogram is a rectangle. | |

b. | Every rectangle is a square | |

c. | Every parallelogram is a trapezium | |

d. | Every rhombus is a square |

## Question 5

Appeared in Year: *2013*

### Question

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

### Choices

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

a. | 0 | |

b. | 1 | |

c. | 0.5 | |

d. | 2 |