# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 161 - 166 of 218

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **1042** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 161

» Mathematics » Probability

### Question

A bag contains 20 balls out of which x are black. If 10 more black balls are put in the box, the probability of drawing a black ball is double of what it was before. The value of x is

### Choices

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

a. | 40 | |

b. | 10 | |

c. | 5 | |

d. | 0 |

## Question number: 162

» Mathematics » Basic Geometry

### Question

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is

### Choices

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

a. | 15 cm | |

b. | 12 cm | |

c. | 10 cm | |

d. | 14 cm |

## Question number: 163

» Mathematics » Percentage

### Question

A shopkeeper mixes 80 kg sugar worth of Rs. 6.75 per kg with 120 kg of sugar worth of Rs. 8 per kg. He earns a profit of 20 % by selling the mixture. He sells it at the rate

### Choices

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

a. | Rs. 7.50 per kg | |

b. | Rs. 8.20 per kg | |

c. | Rs. 9 per kg | |

d. | Rs. 8.85 per kg |

## Question number: 164

» Mathematics » Algebraic Expressions

### Question

If then the value of is

### Choices

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

a. | 322 | |

b. | 114 | |

c. | 364 | |

d. | 927 |

## Question number: 165

» Mathematics » Percentage

### Question

A shopkeeper prefers to sell his goods at the cost price but uses a weight of 800 g instead of 1 kg. He earns profit of

### Choices

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

a. | 20% | |

b. | 25% | |

c. | 8% | |

d. | 2% |

## Question number: 166

» Mathematics » Coordinate Geometry

### Question

Coordinates of P and Q are (4, -3) and (- 1, 7). The abscissa of point R on the line segment PQ such that is

### Choices

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

a. | 1 | |

b. | 18/5 | |

c. | 17/5 | |

d. | 17/8 |