# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 186 - 190 of 218

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## Question number: 186

» Mathematics » Arithmetic

### Question

A train T_{1} leaves a place P at 5 am and reaches another place Q at 9 am another train T_{2} leaves the place Q at 7 am and reaches the place P at 10: 30 am. The time at which the two trains cross each other is

### Choices

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

a. | 8: 26 am | |

b. | 8 am | |

c. | 7: 56 am | |

d. | 8: 15 am |

## Question number: 187

» Mathematics » Basic Geometry

### Question

In the given figure, PQRS is a square and ∠ABC = 90°. If AQ = BR = SC, then consider the following statements.

I. QB = RC II. AB = BC

III. ∠BAC = 45° IV. AC = PS

### Choices

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

a. | III, II and IV are correct | |

b. | I, II and III are correct | |

c. | I and IV are correct | |

d. | All a. , b. and c. are correct |

## Question number: 188

» Mathematics » Rational Numbers

### Question

ABC is a triangle and AD is perpendicular to BC. It is given that the length of AB, BC and CA are all rational numbers. Which of the following is correct?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | Neither |

## Question number: 189

» Mathematics » Coordinate Geometry

### Question

The coordinate of the point which divide the line segment joining A (2, l) and B (3, 5) internally in 2: 3 ratio is

### Choices

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

a. | (12, 13) | |

b. | (6, 13) | |

c. |
| |

d. | (6, 6.5) |

## Question number: 190

» Mathematics » Linear Equation

### Question

The quadratic equation whose roots are is

### Choices

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

a. | 4x | |

b. | 4x | |

c. | 4x | |

d. | 4x |