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## Number System: Level 1 Test - 2

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Question 1 |

A tin of oil was 4/5 full. When six bottles of oil were taken out and four bottles of oil were poured into it, it was 3/4 full. How many bottles of oil can it contain?

20 | |

10 | |

30 | |

40 |

Question 1 Explanation:

Let the tin oil contain x number of bottles.

(4/5)x â€“ 6 + 4=(3/4)x

x/20 = 2

x= 40 bottles

(4/5)x â€“ 6 + 4=(3/4)x

x/20 = 2

x= 40 bottles

Question 2 |

To win an election, a candidate needs 3/4 of the votes cast. If after 2/3 of the votes have been
counted, a candidate has 5/6 of counted votes. Then what part of the remaining votes does he still need to ensure that he wins?

1/8 | |

7/12 | |

1/4 | |

3/8 |

Question 2 Explanation:

Let total number of votes cast be x.

Total number of counted votes =2/3 x

Votes that a candidate got = 5/6 . 2/3 x=5/9x

Votes still need to win = 3/4x-5/9x=7/36x

Remaining uncounted votes= 1/3 x

Required part 7/36.3/1=7/12

Total number of counted votes =2/3 x

Votes that a candidate got = 5/6 . 2/3 x=5/9x

Votes still need to win = 3/4x-5/9x=7/36x

Remaining uncounted votes= 1/3 x

Required part 7/36.3/1=7/12

Question 3 |

Find the sum of the place value of 3 in 503535

3300 | |

0.6 | |

60 | |

3030 |

Question 3 Explanation:

required sum will be = 3000 + 30 = 3030

Question 4 |

(999

^{2}- 998^{2}) is equal to1 | |

999 | |

1997 | |

998 |

Question 4 Explanation:

a

(999

=1997

^{2}-b^{2 }= (a-b )(a+b)(999

^{2}- 998^{2}) = (999 - 998) (999 + 998)=1997

Question 5 |

1000.01- 99.987 is equal to

901.023 | |

900.023 | |

0.14 | |

901.977 |

Question 5 Explanation:

1000.01 -99.987=900.023

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