# Basic Mathematics (KVPY Stream-SA Math): Questions 113 - 117 of 156

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **251** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

## Question number: 113

» Basic Mathematics » Geometry » Advanced Therorems and Properties

### Question

Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7, 11, 16 is –

### Choices

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

a. | 64 | |

b. | 36 | |

c. | 77 | |

d. | 44 |

## Question number: 114

» Basic Mathematics » Algebra » Solving Equations

### Question

Which of the following can be true if and only if for x, y and z are positive and real?

### Choices

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

a. |
| |

b. |
| |

c. |
| |

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

## Question number: 115

» Basic Mathematics » Arithmetic » Rates, Speeds and Unitary Method

### Question

Two workers A and B are engaged to do a piece of work. Working alone, A takes 12 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 3 hours more to complete the work than if both worked together. How much time would they take to complete the job working together?

### Choices

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

a. |
| |

b. | 9 hr | |

c. | 8 hr | |

d. | 6 hr |

## Question number: 116

» Basic Mathematics » Arithmetic » Ratio and Proportion

### Question

I carried 500 kg of watermelon in summer by train. In the beginning, the water content was 95%. By the time I reached the destination, the water content had dropped to 92%. The reduction in the weight of the watermelon was-

### Choices

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

a. | 312.5 | |

b. | 150.5 | |

c. | 163 | |

d. | 187.5 |

## Question number: 117

» Basic Mathematics » Arithmetic » Simplifying Expressions

### Question

If *x* is real, the value of will not be less than,

### Choices

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

a. | 5 | |

b. | 8 | |

c. | 7 | |

d. | 6 |