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Number System: Divisibility Test-2
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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
N2 = (5q +3)2
So it will become 25q2 + 30q + 9
When 5 divides this number, we get 4 as the remainder
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?
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.
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