# Mathematics-Statistics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 1 - 6 of 8

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## Question number: 1

» Mathematics » Statistics

### Question

In a bag containing 5 red, 4 black and 6 orange balls and a ball is selected at random, what is the probability of getting a non-red ball?

### Choices

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

a. | 1/5 | |

b. | 1/3 | |

c. | 4/15 | |

d. | Question does not provide sufficient data or is vague |

## Question number: 2

» Mathematics » Statistics

### Question

If the mean of five observations *x, x + 2, x + 4, x + 6 * and x + 8 is 11, then the mean of first three observations is

### Choices

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

a. | 11 | |

b. | 13 | |

c. | 9 | |

d. | 12 |

## Question number: 3

» Mathematics » Statistics

### Question

If the geometric mean of three observations 40, 50 and x is 10, then the value of x is

### Choices

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

a. | 4 | |

b. | 2 | |

c. | 0.5 | |

d. | 6 |

## Question number: 4

» Mathematics » Statistics

### Question

A, B and C are three sets of value of x.

A: 2, 3, 7, 1, 3, 2, 3 B: 7, 5, 9, 12, 5, 3, 8 C: 4, 4, 11, 7, 2, 3, 4

Select the correct statement from among the following.

### Choices

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

a. | Median, mean and mode of | |

b. | Median of B is equal to mode of A | |

c. | Mean of C is equal to median of B | |

d. | Mean of |

## Question number: 5

» Mathematics » Statistics

### Question

The mean of a set of number is x. If each number is divided by 3, then the new mean is

### Choices

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

a. |
| |

b. | x | |

c. | 3x | |

d. | x + 3 |

## Question number: 6

» Mathematics » Statistics

### Question

The geometric mean of two numbers is 8 and their harmonic mean is 6.4. The numbers are

### Choices

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

a. | 4, 16 | |

b. | 2, 8 | |

c. | 4, 8 | |

d. | Question does not provide sufficient data or is vague |