# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 7 of 218

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## Question number: 1

» Mathematics » Square and Cube Root

### Question

The ratio of the area of a square to that of the square drawn on its diagonal is

### Choices

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

a. | 1: 1 | |

b. | 1: 2 | |

c. | 1: 3 | |

d. | 2: 3 |

## Question number: 2

» Mathematics » Probability

### Question

The mid value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are

### Choices

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

a. | 47.5 and 37.5 | |

b. | 47 and 37 | |

c. | 37.5 and 47.5 | |

d. | 37 and 47 |

## Question number: 3

» Mathematics » Square and Cube Root

### Question

If the distance of the points (2, - 3) and (- 8, - 11) are equal from the point (fe, - 7), what is the value of fe?

### Choices

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

a. | 7 | |

b. | -3 | |

c. | -7 | |

d. | 3 |

## Question number: 4

» Mathematics » Trigonometry

### Question

In the given figure, if PQ|| RS, QPT = 115° and PTR = 20 °, then SRT is equal to

### Choices

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

a. | 95° | |

b. | 155° | |

c. | 150° | |

d. | 135° |

## Question number: 5

» Mathematics » Rational Numbers

### Question

A sum of Rs. 1550 was lent partly at 5 % and partly at 8 % simple interest. The total interest received after 3 year was Rs. 300. The ratio of money lent at 5 % to 8 % is

### Choices

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

a. | 11: 12 | |

b. | 11: 13 | |

c. | 16: 15 | |

d. | 12: 21 |

## Question number: 6

» Mathematics » Arithmetic

### Question

A man runs upstream 13 km and downstream 28 km taking 5 h time for each side. Then, the velocity of the current is

### Choices

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

a. |
1.5 km/h | |

b. |
2.5 km/h | |

c. | 2 km/h | |

d. | None of the above |

## Question number: 7

» Mathematics » Rational Numbers

### Question

If x + 5: 3x + 4 is the duplicate ratio of 5: 8, then the value of x is

### Choices

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

a. | 22 | |

b. | 18 | |

c. | 20 | |

d. | 16 |