# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 207 - 211 of 218

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## Question number: 207

» Mathematics » Quadratic Equations

### Question

If and are the roots of the equation , then an equation whose roots are and is

### Choices

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

a. |
bx + c = 0 | |

b. |
b = 0 | |

c. |
| |

d. | cx |

## Question number: 208

» Mathematics » Basic Geometry

### Question

*S*_{1}and S_{2} are two circles on a plane with radius 4 cm and 2 cm, respectively and the distance between their centers is 3 cm. Which one of the following statements is true?

### Choices

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

a. | S | |

b. |
| |

c. |
| |

d. | S |

## Question number: 209

» Mathematics » Trigonometry

### Question

Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to

### Choices

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

a. | 90° | |

b. | 135° | |

c. | 45° | |

d. | 60° |

## Question number: 210

» Mathematics » Percentage

### Question

A man spends 75 % of his income. If his income is increased by 20 % and he increased his expenditure by 10%. His savings percentage is increased by

### Choices

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

a. | 10% | |

b. | 25% | |

c. | 75% | |

d. | Both a. and c. are correct |

## Question number: 211

» Mathematics » Number Systems

### Question

A three-digit number has digits h, t and *u * (from left to right) with h > *u. *If the digits are reversed and the number thus formed is subtracted from the original number, the unit’s digit in the resulting number is 4. What are the other two digits of the resulting number from left to right?

### Choices

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

a. | 5 and 9 | |

b. | 5 and 4 | |

c. | 9 and 5 | |

d. | 4and 5 |