## Quant Quiz 3

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Question 1 |

A number is selected at random from all possible four digit numbers that are formed using the digits 0, 2, 5, 7. If the number is even, what is the probability that it is divisible by 5?

A | 1/3 |

B | 1/5 |

C | None of the given options |

D | 1/2 |

E | 1/4 |

Question 2 |

A 30-litre bucket contains a mixture of milk and water in the ratio 2:1. A certain quantity of this mixture is replaced by water such that the ratio of milk and water becomes 8:7. This resultant mixture is added to 20 litres of another mixture containing milk and water in the ratio 3:1. What is the percentage of milk in the new mixture?

A | 44% |

B | 62% |

C | 54% |

D | 75% |

Question 3 |

If 16a²x² - 4 (4ab + 3a) x +16b² - 12b + 9 = 0, what is the value of 64a³x³ +27 - 14abx ?

A | -27 |

B | 16 |

C | None of the given options |

D | -16 |

E | 27 |

Question 4 |

A can do a job in 10 days, B in 40 days, C in 80 days and D in 20 days. B works on the job every day. A helps him on every second day starting from the second day. C helps him on every third day starting from the third day and D helps him on every fourth day starting from the fourth day. Approximately in how many days will the job be finished?

A | 13 days |

B | None of the given options is correct |

C | 19.5 days |

D | 11.5 days |

E | 9.5 days |

Question 5 |

From the first 25 natural numbers, two numbers are chosen at random. What are the odds against their product being even?

A | 13 : 37 |

B | 39 : 11 |

C | 12 : 13 |

D | 37 : 13 |

Question 6 |

A uniform cylindrical tank is initially filled to 60% of its capacity. The radius of the base of the tank is then increased by 10%. By what percent (approx) of the height of the tank does the level of water fall?

A | 21% |

B | 10% |

C | 17.35% |

D | 20% |

E | None of the options are correct |

Question 7 |

A job needs to be completed in 60 days. 50 men are employed for this job. After 30 days into the work, they realized that they would not be able to complete the work on time. Hence, 10 more workers are employed and they could finish the job on time. How many extra days would they have taken beyond the schedule in case additional workers were not employed?

A | None of the options |

B | 6 |

C | 11 |

D | 4 |

E | 10 |

Question 8 |

In how many ways can 3 prizes be given away to 2 boys when each boy is eligible for one or more prizes?

A | None of the given options are correct |

B | ³C₂ |

C | 3² |

D | ³P₂ |

E | 2³ |

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