# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 545 - 551 of 1484

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## Question 545

### Question

MCQ▾A top is of the shape of a cone over a hemisphere. The radius of the hemisphere is 7 cm. The total height of the top is 31 cm. The total area of top is ________.

### Choices

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

b. | ||

c. | ||

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

## Question 546

### Question

MCQ▾If f (x) = and g (x) = have a common factor, then =

### Choices

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

b. | ||

c. | ||

d. |

## Question 547

### Question

MCQ▾If are the factors of then the other factor is ________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 548

### Question

MCQ▾A man saves ₹ 100 in a certain year and in each year thereafter he saves ₹ 40 more than the preceding year. In how many years will his total savings amount to ₹ 20,400?

### Choices

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

a. | 29 years | |

b. | 23 years | |

c. | 30 years | |

d. | 25 years |

## Question 549

### Question

MCQ▾A piece of metal pipe is 154 cm long with inside diameter of the cross section as 8 cm. If the outer diameter is 9 cm and the metal weighs the weight of pipe is ________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 550

### Question

MCQ▾If , then 16x equals

### Choices

Choice (4) | Response | |
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a. | 0 | |

b. | - 2 | |

c. | 52 | |

d. |

## Question 551

### Question

MCQ▾A circle with area is contained in the interior of a larger circle with area . If the radius of the larger circle is 6 and are in AP, then the radius of the smaller circle is

### Choices

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

b. | 1 | |

c. | ||

d. |