## Quant Quiz 2

Quiz on Algebra

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Question 1 |

300! is divisible by (24!)^n. What is the max. possible integral value of n?

A | 13 |

B | 12 |

C | 11 |

D | 10 |

Question 2 |

Let A denote the set of positive integers each of which when divided by 2,3,4,5, and 6 leaves remainder 1,2,3,4 and 5 resp..How many nos are possible between 0 & 100 ?

A | 3 |

B | 0 |

C | 1 |

D | 2 |

Question 3 |

There are 8436 steel balls, each with a radius of 1 cm, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 balls in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is :

A | 38 |

B | 34 |

C | 32 |

D | 36 |

Question 4 |

A train travelling at 36 kmph crosses a platform in 20 sec and a man standing on the platform in 10 seconds.What is the length of the platform in metres?

A | 300m |

B | 200m |

C | 240m |

D | 100m |

Question 5 |

For What values of c does the following system of equations have no solution?
1) 2x+y+3z=4
2) 3x+y-z=5
3) x+y+7z=c

A | 4 |

B | any other than 3 |

C | 3 or 4 |

D | 3 |

Question 6 |

If log10 (y 21) + log10y = 2, which of the following is the value of y?

A | -4 |

B | 4 |

C | 10 |

D | 25 |

Question 7 |

Find the number of ways in which the letters of the word INCLUDE be permuted so that no two vowels appear together?

A | 1440 |

B | 720 |

C | 5040 |

D | 4320 |

Question 8 |

What will be the remainder when 1212121212.....300 times is divided by 99?

A | 18 |

B | 36 |

C | 81 |

D | 54 |

Question 9 |

60% of the students of a class are boys and in an examination , 80% of the girls scored more than 40 marks( out of a maximum of 150 marks )If 60% fo the total students scored more tahn 40 marks in the same examination , find the fraction of boys who score dmore than 40 marks or less.

A | 4/5 |

B | 7/15 |

C | 1/5 |

D | 8/15 |

Question 10 |

f f(x) = x^2 + 6 and g(x) = x^3 - 11, then h(x) = f(x) - g(x) is a/an

A | Neither even nor odd function |

B | Data Insufficient |

C | Odd function |

D | Even function |

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