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## 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?
 A 588 B 784 C 823 D 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
 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?
 A 0 B 1 C 2 D 4
Question 2 Explanation:
Let us Assume the number is N
So N = 5q + 3
Therefore
N2 = (5q +3)2
So it will become 25q2 + 30q + 9
When 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?
 A 10004 B 10472 C 10476 D 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 â€“ 4) = 10472
 Question 4
What is the largest five-digit number that which is divisible by 91?
 A 99918 B 99921 C 99981 D 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 â€“ 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?
 A 1 B 2 C 3 D 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.
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