# Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 104 - 111 of 119

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## Question number: 104

» Mathematics » Trigonometry

### Question

cos 4x is equal to

### Choices

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

a. | 1 + 8sin | |

b. | 2cos | |

c. | 1 + 2sin | |

d. | 1 - 8sin |

## Question number: 105

» Mathematics » Statistics

### Question

The mean of 78 numbers is 27. If each observation is divided by 3, the new mean is

### Choices

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

a. | 9 | |

b. | 27 | |

c. | 18 | |

d. | None of the above |

## Question number: 106

» Mathematics » Percentage

### Question

If cost price of 20 articles is equal to selling price of 12 articles, then the profit percentage is

### Choices

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

a. | 33.3% | |

b. | 66.7% | |

c. | 28% | |

d. | 50% |

## Question number: 107

» Mathematics » Trigonometry

### Question

In the figure below, PQ = QS, QR = RS and ∠SRQ = 100°. Find the value of ∠QPS.

### Choices

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

a. | 40° | |

b. | 15° | |

c. | 35° | |

d. | 20° |

## Question number: 108

» Mathematics » Statistics

### Question

If the mean and median of a set of numbers are 8.9 and 9 respectively, then the mode will be

### Choices

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

a. | 8.2 | |

b. | 9.2 | |

c. | 10.2 | |

d. | 7.2 |

## Question number: 109

» Mathematics » Probability

### Question

If an alphabet is selected from English alphabet, then probability of selecting a vowel is

### Choices

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

a. | 16/26 | |

b. | 5/26 | |

c. | 5/21 | |

d. | 21/26 |

## Question number: 110

» Mathematics » Quadratic Equations

### Question

If a and b are the roots of the equation , then the value of ) is equal to

### Choices

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

a. |
| |

b. |
| |

c. | 5 | |

d. | All of the above |

## Question number: 111

» Mathematics » Percentage

### Question

A shopkeeper purchased 300 pens and sold one out of four pens at no loss or profit. He sold the remaining pens at a profit of 20%. What is his overall profit or loss per cent on the whole transaction?

### Choices

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

a. | 12 % profit | |

b. | 15 % loss | |

c. | 15 % profit | |

d. | 12 % loss |