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## Number System: Level 1 Test -12

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Question 1 |

Three different containers contain different quantities of a mixture of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What biggest measure be there to measure all the different quantities exactly?

7 kg | |

1 kg | |

31 kg | |

41 kg |

Question 1 Explanation:

Here 434-403 = 31 Kg

Similarly 465-434=31 Kg.

As we can see 31 Kg is actually the HCF of (403,434,465) Correct option is (c)

Similarly 465-434=31 Kg.

As we can see 31 Kg is actually the HCF of (403,434,465) Correct option is (c)

Question 2 |

If 6 yr. are subtracted from the present age of Randheer and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 yr. younger to Mahesh whose age is 5 yr. what is the age of Randheer?

84 yr. | |

48 yr. | |

60 yr. | |

96 yr. |

Question 2 Explanation:

Anupâ€™s age is 3 yrs.

Then the age of Randheer = (18 x 3)+6=60

Correct option is (c)

Then the age of Randheer = (18 x 3)+6=60

Correct option is (c)

Question 3 |

For numbers a and b, define * as $ \displaystyle a*b=\left( a+b \right)\,\div \left( a-b \right).$

Then the value of (1* 2) * 3 is

Then the value of (1* 2) * 3 is

-2/3 | |

-1/5 | |

0 | |

1/2 |

Question 3 Explanation:

(1* 2) * 3 = -3*3=0

Correct option is (c)

Correct option is (c)

Question 4 |

The unitâ€™s digit of 13

^{2003}is 1 | |

3 | |

7 | |

9 |

Question 4 Explanation:

This is equal to findÂ 3

Correct option is (c)

^{3}Â =_7Correct option is (c)

Question 5 |

The fuel indicator in a car shows one-fifth of the fuel tank as full. When 22 more litres of fuel are poured into the tank, the indicator rests at the three-fourth of the full mark. Find the capacity of the fuel tank.

25 L | |

35 L | |

30 L | |

40 L |

Question 5 Explanation:

$ \displaystyle \begin{array}{l}Given,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{p}{5}+22=\frac{3}{4}p\\\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( \frac{3}{4}-\frac{1}{5} \right)\,p=22\\\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{11}{20}p=22\\\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,p=40\,L\end{array}$

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