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1. If $n$ is a natural number, then 6n^{2} + 6n is always divisible by:

6 only | 6 and 12 both | 12 only | by 18 only |

2. 107 x 107 + 93 x 93 = ?

19578 | 19418 | 20098 | 21908 |

3. What will be remainder when (67^{67} + 67) is divided by 68 ?

1 | 63 | 66 | 67 |

4. On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?

0 | 1 | 2 | 4 |

5. How many 3-digit numbers are completely divisible 6 ?

149 | 150 | 151 | 166 |

6. How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

8 | 11 | 12 | 13 |

7. How many of the following numbers are divisible by 3 but not by 9 ?

2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

5 | 6 | 7 | None of these |

8. $\dfrac{(963 + 476)^2 + (963 - 476)^2}{(963 \times 963 + 476 \times 476)}$=?

1449 | 497 | 2 | 4 |

9. How many 3 digit numbers are divisible by 6 in all ?

149 | 150 | 151 | 166 |

10. A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a +b) = ?

10 | 11 | 12 | 15 |

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