# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 493 - 501 of 1484

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## Question 493

### Question

MCQ▾If then

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 494

### Question

MCQ▾Liquid is full in a hemisphere of inner diameter 12 cm. This is to be poured into cylindrical bottles of diameter 8 cm and height 3 cm. The number of bottles required are ________.

### Choices

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

a. | 3 | |

b. | 9 | |

c. | 12 | |

d. | 6 |

## Question 495

### Question

MCQ▾One end of a diameter of a circle is and the center is . The coordinates of the other end is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 496

## Question 497

### Question

MCQ▾If P (x) = , Q (x) = and their HCF is then LCM of P (x) and Q (x) is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 498

### Question

MCQ▾A hollow sphere of internal and external diameters 8 cm and 16 cm respectively is melted into a cone of base diameter 16 cm. Find the height of the cone.

### Choices

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

a. | 14 cm | |

b. | 7 cm | |

c. | 56 cm | |

d. | 28 cm |

## Question 499

### Question

MCQ▾What should be added to to get ?

### Choices

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

b. | ||

c. | ||

d. |

## Question 500

## Question 501

### Question

MCQ▾The equation has

### Choices

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

a. | Two imaginary roots | |

b. | One real and one imaginary root | |

c. | One real root | |

d. | No root |