# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 411 - 416 of 1484

Access detailed explanations (illustrated with images and videos) to **1484** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. *Unlimited Access for Unlimited Time*!

View Sample Explanation or View Features.

Rs. 500.00 or

How to register?

## Question number: 411

» Mathematics » Quadratic Equations

### Question

The equation has

### Choices

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

a. | A real root between 20 and 23 | |

b. | An extraneous root between -10 and -5 | |

c. | Two extraneous roots | |

d. | An extraneous root between -6 and -1 |

## Question number: 412

» Mathematics » Surface Area and Volumes

### Question

A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 3 cm is dropped in it. After it was completely immersed, the raise in the level of water is ________.

### Choices

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

a. | 4.21 cm | |

b. | 2.66 cm | |

c. | 1.33 cm | |

d. | 2.28 cm |

## Question number: 413

» Mathematics » Surface Area and Volumes

### Question

A vessel is in conical shape. If its volume is 16.632 liters and height is 9 cm, the cost of repairing its CSA at Rs. 3/sq m is

### Choices

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

a. | 6.4 | |

b. | 5.1 | |

c. | 1.7 | |

d. | 3.4 |

## Question number: 414

» Mathematics » Quadratic Equations

### Question

If , then the value of x is

### Choices

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

a. | 2 or 5 | |

b. | 1 or 5 | |

c. | 0 or -7 | |

d. | 0 or -9 |

## Question number: 415

» Mathematics » Surface Area and Volumes

### Question

A cone of radius 30 cm is divided into two parts by drawing a plane through the midpoints of its axis, parallel to its base. The ratio of volumes of the two parts formed is ________.

### Choices

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

a. | 7: 1 | |

b. | 1: 6 | |

c. | 1: 7 | |

d. | 1: 14 |

## Question number: 416

» Mathematics » Surface Area and Volumes

### Question

The lateral surface area of a right circular cylinder with base radius 7 cm and height 15 cm is

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | All of the above |