# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 571 - 579 of 1484

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## Question 571

### Question

MCQ▾The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

### Choices

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

a. | 39.3 cm | |

b. | 37.1 cm | |

c. | 27.6 cm | |

d. | 22.9 cm |

## Question 572

### Question

MCQ▾Find a positive integral solution to the equation

### Choices

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

a. | 110 | |

b. | 116 | |

c. | 115 | |

d. | 240 |

## Question 573

### Question

MCQ▾If the and terms of an AP are P, Q and R respectively, then = ________.

### Choices

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

a. | pqr | |

b. | ||

c. | 0 | |

d. | 1 |

## Question 574

### Question

MCQ▾= ________.

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 575

### Question

MCQ▾If then = ________.

### Choices

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

a. | ||

b. | 37 | |

c. | 6 | |

d. | All of the above |

## Question 576

## Question 577

### Question

MCQ▾Area of triangle enclosed between the coordinate axes with vertices and is ________.

### Choices

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

a. | 7 sq units | |

b. | 14 sq units | |

c. | 21 sq units | |

d. | 23 sq units |

## Question 578

### Question

MCQ▾If there are ‘n’ AMs between a and b, then common difference d = ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 579

### Question

MCQ▾If , then 36x equals

### Choices

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

a. | -3 | |

b. | 18 | |

c. | ||

d. | 85 |