# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 201 - 207 of 1484

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## Question 201

### Question

MCQ▾The equation has

### Choices

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

a. | One real and one imaginary root | |

b. | One real root | |

c. | Two real roots | |

d. | Two imaginary roots |

## Question 202

### Question

MCQ▾The sum of all two digit natural numbers is

### Choices

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

a. | 4509 | |

b. | 4905 | |

c. | 4590 | |

d. | 4950 |

## Question 203

### Question

MCQ▾In a geometric series of positive terms the difference between the fifth and fourth terms is 224 and the difference between the second and first terms is 28. What is the sum of the first five terms of the series?

### Choices

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

a. | 862 | |

b. | 686 | |

c. | 434 | |

d. | 868 |

## Question 204

## Question 205

### Question

MCQ▾If 5, , are in AP, then k must be equal to

### Choices

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

a. | ||

b. | ||

c. | 0 | |

d. |

## Question 206

### Question

MCQ▾A vessel is in conical shape. If its volume is 33.264 liters and height is 18 cm, the cost of repairing its CSA at ₹ 6/sq m is

### Choices

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

a. | 8.54 | |

b. | 7.34 | |

c. | 3.62 | |

d. | 3.12 |

## Question 207

### Question

MCQ▾A cylindrical vessel of diameter 14 cm has some water in it. A cylindrical iron piece of diameter 28 cm and height 7 cm is dropped in it. After it was completely immersed, the raise in the level of water is ________.

### Choices

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

a. | 14 cm | |

b. | 7 cm | |

c. | 18 cm | |

d. | 28 cm |