# Basic Mathematics (KVPY Stream-SA (Class 11) Math): Questions 1 - 4 of 156

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## Question number: 1

» Basic Mathematics » Arithmetic » Ratio and Proportion

### Question

Two friends P and Q are 50 km apart and they start simultaneously on cycles to meet each other. The speed of P is 4 times than that of Q. The distance between them decreases at the rate of 2 km per minute. Fifteen minutes after they start, P’s cycle breaks down and P stops and waits for Q to arrive. After how much time (in minutes) P started riding, does Q meet P?

### Choices

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

a. | 55 | |

b. | 70 | |

c. | 60 | |

d. | 65 |

## Question number: 2

» Basic Mathematics » Arithmetic » Rates

Appeared in Year: 2011

### Question

Three taps A, B, C fill up a tank independently in 10 hr, 20 hr, 30 hr respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour. What is the minimum number of hours required to fill the tank?

### Choices

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

a. | 9 | |

b. | 11 | |

c. | 8 | |

d. | 10 |

## Question number: 3

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

### Question

A man wants to reach a certain destination. One-sixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water, on tar road is in the ratio 3: 4: 5. The ratio of the durations he requires to cross the patch of mud, stream and tar road is

### Choices

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

a. |
| |

b. | 3: 8: 15 | |

c. | 10: 15: 18 | |

d. | 1: 2: 3 |

## Question number: 4

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

### Question

Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A’s vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?

### Choices

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

a. | 20 | |

b. | 30 | |

c. | 25 | |

d. | 15 |