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Byju's Answer
Standard VIII
Mathematics
Properties of Multiplication of Integers
888+777+555=1...
Question
(888 + 777 + 555) = (111 × ?)
(a) 120
(b) 280
(c) 20
(d) 140
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Solution
(c) 20
(888 + 777 + 555) = (111 × ?)
⇒ (888 + 777 + 555) = 111 × (8 + 7 + 5) [By taking 111 common]
= 111 × (20) = 2220
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Similar questions
Q.
Find the next term of the pattern 111/3, 333/9, 555/15, 777/21.
Q.
In each of the following, fill in the blanks, so that the statement is true:
(i) (500 + 7) (300 − 1) = 299 × ...
(ii) 888 + 777 + 555 = 111 × ....
(iii) 75 × 425 = (70 + 5) (... + 85)
(iv) 89 × (100 − 2) × 98 × (100 − ....)
(v) (15 + 5) (15 − 5) = 225 − ....
(vi) 9 × (10000 + ...) = 98766
Q.
Assertion :
(
666.....
n
d
i
g
i
t
s
)
2
+
(
888....
n
d
i
g
i
t
s
)
=
(
444....2
n
d
i
g
i
t
s
)
Reason:
⎧
⎨
⎩
111...1
12
t
i
m
e
s
⎫
⎬
⎭
is a prime number
Q.
Assertion :Statement 1:
(
666......
n
d
i
g
i
t
s
)
2
+
(
888......
n
d
i
g
i
t
s
)
=
(
444....2
n
d
i
g
i
t
s
)
and Reason: Statement 2 :
⎛
⎝
111....1
12
t
i
m
e
s
⎞
⎠
is a prime number
Q.
In the figure, O is the centre of circle and ∠AOC = 160
0
. Find value of 3∠y – 2∠
.
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