# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 71 - 76 of 218

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## Question number: 71

» Mathematics » Trigonometry

### Question

Two posts are *K * m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is

### Choices

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

a. |
| |

b. |
| |

c. | 3K | |

d. | 2K |

## Question number: 72

» Mathematics » Basic Geometry

### Question

Let D and E be the points on sides AB and AC, respectively of a ∆ A B C

such that DE is parallel to BC. Let AD = 2 cm, DB = 1 cm, AE = 3 cm and area of ∆ A D E = 3 c m 2

. What is the value of EC?

### Choices

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

a. | 1.5 cm | |

b. | 2.1 cm | |

c. | 1.8 cm | |

d. | 1.6 cm |

## Question number: 73

» Mathematics » Simple Interest and Compound Interest

### Question

A sum amount to Rs. 9680 in 2 year and to Rs. 10648 in 3 year compounded annually. Then, the sum and rate of interest respectively are

### Choices

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

a. | Rs. 8500, 9% | |

b. | Rs. 8500, 10% | |

c. | Rs. 8000, 10% | |

d. | Rs. 8000, 9% |

## Question number: 74

» Mathematics » Linear Equation

### Question

The sum of two numbers is 15. If the sum of their reciprocals is , then the numbers are

### Choices

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

a. | 7, 8 | |

b. | 10, 5 | |

c. | 8, 7 | |

d. | 6, 9 |

## Question number: 75

» Mathematics » Linear Equation

### Question

The value of x satisfying the equation is

### Choices

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

a. | 5 | |

b. | 0, 5 | |

c. | 0, 4 | |

d. | Question does not provide sufficient data or is vague |

## Question number: 76

» Mathematics » Basic Geometry

### Question

If AB is parallel to CD, *EF * intersects them at M and N. The bisectors of ⦟BMN and ⦟MND meet at Q. If then ⦟MQN is

### Choices

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

a. | 80° | |

b. | 90° | |

c. | 70° | |

d. | 60° |