# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 232 - 239 of 1484

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## Question 232

### Question

MCQ▾If the sum of the first p terms of an AP is the same as the sum of its first q terms (where ) , then the sum of its first terms is

### Choices

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

a. | 1 | |

b. | 0 | |

c. | ||

d. | pq |

## Question 233

### Question

MCQ▾The roots of are

### Choices

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

a. | 1,2 and 3 | |

b. | 3 | |

c. | 0 and 3 | |

d. | 0, -1, -2 and 3 |

## Question 234

### Question

MCQ▾If is divisible by then ________.

### Choices

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

a. | ||

b. | Either or | |

c. | Neither nor | |

d. |

## Question 235

### Question

MCQ▾A man saves ₹ 150 in a certain year and in each year thereafter he saves ₹ 50 more than the preceding year. In how many years will his total savings amount to ₹ 18,750?

### Choices

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

a. | 29 years | |

b. | 30 years | |

c. | 23 years | |

d. | 25 years |

## Question 236

### Question

MCQ▾If and are the midpoints of the sides of , the area of the triangle is ________.

### Choices

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

a. | 48 sq units | |

b. | 24 sq units | |

c. | 6 sq units | |

d. | 12 sq units |

## Question 237

### Question

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

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 238

### Question

MCQ▾The first four terms of an arithmetic sequence are 2x, a, 6x, b. The ratio of a to b is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 239

### 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 |