# Numbers Questions

A) 4 | B) 2 |

C) 0 | D) 6 |

Explanation:

When we divide 1234 by 8, remainder is 2

When we divide 1235 by 8, remainder is 3

When we divide 1237 by 8, remainder is 5

As 30 will not be the remainder because it is greater than 8,

when 30 divided by 8, remainder = 6.

A) 8 | B) 2 |

C) 6 | D) 4 |

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)^{2} - (2x + 1)^{2}

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)

= 8 (x + 1), which is always divisible by 8

A) 2 | B) 3 |

C) 4 | D) 5 |

Explanation:

By trial and error method, we get

2880/3 = 960 is not a perfect square

2880/4 = 720 is not a perfect square

2880/5 = 576 which is perfect square of 24

Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

A) 4 | B) 1 |

C) 5 | D) 7 |

Explanation:

1 1

8 A 9

+ 4__ C 6 __

- 6__ B 2 __

__ 7 2 3 __

We may represent the given sum, as shown below:

1 + A + C - B = 12

A + C - B = 11

Now,giving the maximum values to A and C, i.e.

A = 9 and C = 9, we get B = 7.

A) 12 | B) 8 |

C) 6 | D) 4 |

Explanation:

Two digit numbers: The two digits can be 2 and 9: Two possibilities 29 and 92.

Three-digit numbers: The three digits can be 1, 2 and 9 3! Or 6 possibilities.

We cannot have three digits as (3, 3, 2) as the digits have to be distinct.

We cannot have numbers with 4 digits or more without repeating the digits.

So, there are totally 8 numbers.