# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 552 - 560 of 1484

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## Question 552

### Question

MCQ▾If the mth term of an AP is and its nth term be , then its term is

### Choices

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

a. | 0 | |

b. | 1 | |

c. | ||

d. | None of the above |

## Question 553

### Question

MCQ▾For the expression , if and . Find the value of a, b and c

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 554

### Question

MCQ▾The sum of 20 terms of is

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 555

### Question

MCQ▾Find the value of ‘k’ if the expression p (x) = and q (x) = leave the same remainder when divided by .

### Choices

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

a. | - 1 | |

b. | - 2 | |

c. | 3 | |

d. | 2 |

## Question 556

### Question

MCQ▾A cone of radius 20 cm is divided into two parts by drawing a plane through the midpoints of its axis, parallel to its base. The ratio of volumes of the two parts formed is ________.

### Choices

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

a. | 6: 1 | |

b. | 1: 7 | |

c. | 1: 14 | |

d. | 9: 1 |

## Question 557

### Question

MCQ▾If and then = ________.

### Choices

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

a. | ||

b. | 2p | |

c. | 2 | |

d. | All of the above |

## Question 558

### Question

MCQ▾The difference of the roots of is

### Choices

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

a. | 23 | |

b. | ||

c. | - 3 | |

d. | None of the above |

## Question 559

### Question

MCQ▾and are three vertices of the parallelogram ABCD. The coordinates of the fourth vertex is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 560

### Question

MCQ▾If the sum of the first 15 terms and the sum of the first 150 terms of a given AP are 150 and 15 respectively, then the sum of the first 155 terms is

### Choices

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

a. | ||

b. | ||

c. | -155 | |

d. | -87 |