- This is an assessment test.
- To draw maximum benefit, study the concepts for the topic concerned.
- Kindly take the tests in this series with a pre-defined schedule.

## Number System: Divisibility Test-2

Congratulations - you have completed

*Number System: Divisibility Test-2*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%% Your answers are highlighted below.

Question 1 |

If the divisor is 7 times the quotient and three times to the remainder .Then what will be the Dividend if the remainder is 28?

588 | |

784 | |

823 | |

1036 |

Question 1 Explanation:

Divisor = 7q

Divisor = 3r where q and r is the Quotient and Remainder respectively

Divisor = 3 x 28 = 84

So the value of q = 12

r = 28

q = 12

Divisor= 84

So the dividend = 12 x 84 + 28 = 1036

Divisor = 3r where q and r is the Quotient and Remainder respectively

Divisor = 3 x 28 = 84

So the value of q = 12

r = 28

q = 12

Divisor= 84

So the dividend = 12 x 84 + 28 = 1036

Question 2 |

A number when divided by 5 leaves 3 as remainder. What will be the remainder when 5 divide the square of the number?

0 | |

1 | |

2 | |

4 |

Question 2 Explanation:

Let us Assume the number is N

So N = 5q + 3

Therefore

N

So it will become 25q

When 5 divides this number, we get 4 as the remainder

So N = 5q + 3

Therefore

N

^{2}= (5q +3)^{2}So it will become 25q

^{2}+ 30q + 9When 5 divides this number, we get 4 as the remainder

Question 3 |

What is the smallest five-digit number that which is divisible by 476?

10004 | |

10472 | |

10476 | |

47600 |

Question 3 Explanation:

Smallest number of 5 digits =10000

When this number divided by 476, 4 will be the remainder

So the required number is 10000 + (476 – 4) = 10472

When this number divided by 476, 4 will be the remainder

So the required number is 10000 + (476 – 4) = 10472

Question 4 |

What is the largest five-digit number that which is divisible by 91?

99918 | |

99921 | |

99981 | |

99971 |

Question 4 Explanation:

Largest five-digit number = 99999

When this number divided by 91, 81 will be the remainder

So the required number is 99999 – 81 = 99918

When this number divided by 91, 81 will be the remainder

So the required number is 99999 – 81 = 99918

Question 5 |

When N is divided by 4 the remainder is 3 , what will be the remainder when 2N is divisible by 4?

1 | |

2 | |

3 | |

0 |

Question 5 Explanation:

N = 4q + 3

Therefore 2N = 8q + 6 = 4(2q +1) + 2

Hence when this number is divided by 4,

the remainder will be 2.

Therefore 2N = 8q + 6 = 4(2q +1) + 2

Hence when this number is divided by 4,

the remainder will be 2.

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.

There are 5 questions to complete.

List |