# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 13 - 19 of 218

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## Question number: 13

» Mathematics » Mensuration

### Question

A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is

### Choices

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

a. | 12 cm | |

b. | 11 cm | |

c. | 16 cm | |

d. | 14 cm |

## Question number: 14

» Mathematics » Quadratic Equations

### Question

If

*, * then the value of

is

### Choices

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

a. | 27/2 | |

b. | 9/2 | |

c. | 9/4 | |

d. | 25/4 |

## Question number: 15

» Mathematics » Quadratic Equations

### Question

Sum of the roots of the equation x ^{2} + 5x + 6 = 0 is

### Choices

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

a. | 4 | |

b. | -4 | |

c. | -5 | |

d. | 5 |

## Question number: 16

» Mathematics » Basic Geometry

### Question

The mean proportional between (2 + ) and (8 - ) is

### Choices

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

a. | 3 | |

b. | 2 | |

c. | 3: 1 | |

d. | 2: 3 |

## Question number: 17

» Mathematics » Trigonometry

### Question

AB and CD are two parallel lines. PQ cuts AB and CD at E and F irrespectively. EL is the bisector of ⦟FEB. If *⦟LEB * = 35°, then ⦟CFQ will be

### Choices

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

a. | 85° | |

b. | 95° | |

c. | 70° | |

d. | 110° |

## Question number: 18

» Mathematics » Arithmetic

### Question

Arjun bought two buffaloes for Rs. 30, 000, by selling one at a loss of 15 % and other at a gain of 19%, he found the selling price of both buffaloes is the same. The cost price of each buffalo is

### Choices

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

a. | Rs. 17500 and Rs. 12500 | |

b. | Rs. 16000 and Rs. 14000 | |

c. | Rs. 18000 and Rs. 12000 | |

d. | Rs. 17000 and Rs. 13000 |

## Question number: 19

» Mathematics » Basic Geometry

### Question

A person can run around a circular path of radius 21 m in 44 s. In what time will the same person run a distance of 3 km?

### Choices

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

a. | 16 min 30s | |

b. | 18 min 30s | |

c. | 16 min 40s | |

d. | 18 min 40s |