On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8,
what will be the remainder?
a. 4
b.5
c.6
d.7
Answers
Answered by
2
Answer:
Solution 1
Number
=
56
x
+
29
=56x+29 (∵ since the number gives 29 as remainder on dividing by 56)
=
(
7
×
8
×
x
)
+
(
3
×
8
)
+
5
=(7×8×x)+(3×8)+5
Hence, if the number is divided by 8, we will get 5 as remainder.
Solution 2
Number
=
56
x
+
29
=56x+29
Let
x
=
1
x=1.
Then number
=
56
×
1
+
29
=
85
=56×1+29=85
85
÷
8
=
10
85÷8=10, remainder = 5
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