# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 402 - 409 of 1484

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## Question 402

### Question

MCQ▾The equation has

### Choices

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

a. | Two imaginary roots | |

b. | One real root | |

c. | Two real roots | |

d. | One real and one imaginary root |

## Question 403

### Question

MCQ▾The nth term in the series

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 404

### Question

MCQ▾The first four terms of an arithmetic sequence are p, 2x, q, 4x. The ratio of p to q is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 405

### Question

MCQ▾Express in lowest terms.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 406

### Question

MCQ▾From a circle of radius 15 cm a sector with angle is cut out and its bounding radii are bent so as to form a cone. Then its volume is

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 407

### Question

MCQ▾A circus tent is in the form of a cone over a cylinder. The diameter of the base is 6 m, the height of cylindrical part is 3.2 m and the total height of the tent is 7.2 m. The canvas required for the tent is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 408

### Question

MCQ▾If , then the value of x is

### Choices

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

a. | 1 or -6 | |

b. | -1 or 6 | |

c. | -5 or 4 | |

d. | 3 or 5 |

## Question 409

### Question

MCQ▾The measures of the interior angles of a convex polygon are in AP. If the smallest angle is and the largest angle is , then the number of sides of the polygon is

### Choices

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

a. | 4 | |

b. | 12 | |

c. | 6 | |

d. | 8 |