# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 267 - 275 of 1484

Access detailed explanations (illustrated with images and videos) to **1484** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 500.00 -OR-

How to register? Already Subscribed?

## Question 267

### Question

MCQ▾If and the sequence x, y and x, y each are in AP, then = ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | 1 |

## Question 268

### Question

MCQ▾If is exactly divisible by , then p = ________.

### Choices

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

a. | 12 | |

b. | -2 | |

c. | 3 | |

d. | All of the above |

## Question 269

### Question

MCQ▾If then = ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 270

### Question

MCQ▾The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of diameter 0.6 cm. The length of wire is ________.

### Choices

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

a. | 985.14 cm | |

b. | 984.15 cm | |

c. | 948.15 cm | |

d. | 945.18 cm |

## Question 271

## Question 272

### Question

MCQ▾If the sum of the first 5 terms and the sum of the first 50 terms of a given AP are 50 and 5 respectively, then the sum of the first 55 terms is

### Choices

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

a. | 110 | |

b. | 75 | |

c. | -55 | |

d. | -65 |

## Question 273

### Question

MCQ▾The difference of the roots of is

### Choices

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

a. | -7 | |

b. | ||

c. | 5 | |

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

## Question 274

### Question

MCQ▾The number of roots satisfying the equation is/are

### Choices

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

a. | 2 | |

b. | 3 | |

c. | 1 | |

d. | Unlimited |

## Question 275

### Question

MCQ▾The sum of the first 100 positive integers exactly divisible by 4 is

### Choices

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

a. | 20020 | |

b. | 20200 | |

c. | 40400 | |

d. | 40040 |