# Numbers Questions

A) 1155 | B) 1145 |

C) 1040 | D) None |

Explanation:

The weight will be 250g plus (1.55 - 0.65)/0.10 units of 100g

250 + 900 = 1150

This is the maximum weight that can be sent at that price. But, weights exceeding

250 + 800 will also get charged this amount (that is what the ‘part thereof’ implies).

Hence a package weighing 1145 will be charged $1145

A) 32761 | B) 42437 |

C) 81225 | D) 20164 |

Explanation:

The square of a natural number never ends in 7.

42437 is not the square of a natural number

A) 4 | B) 3 |

C) 2 | D) 1 |

Explanation:

6)4456(742

42

--------

25

24

-------

16

12

-----

4

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Required number = (6-4) = 2.

A) 3 | B) 2 |

C) 1 | D) 0 |

Explanation:

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.

Thus when 2*n is divided by 4, the reminder is 2.

A) 8p | B) pq |

C) pq+27 | D) -p |

Explanation:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5

Consider the answer choices in turn.

8 is the cube of 2, and p is a cube, and so the product will also be a cube.

pq will also be a cube as shown above.

pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube.

-p will be a cube.

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).