Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard VII
Mathematics
Question
What is the sum of all
2
-digit numbers.which when divided by
3
leave
2
as remainder ?
1565
1585
1635
1655
A
1565
B
1635
C
1585
D
1655
Open in App
Solution
Verified by Toppr
The first and the last
2
-digit number which leaves
2
as remainder when divided by
3
are
11
and
98
.
Let there are
n
number between
11
and
98
which leaves
2
as remainder when divided by
3
.
Then
11
+
(
n
−
1
)
3
=
98
or,
(
n
−
1
)
3
=
87
or,
n
=
30
.
∴
the sum of all these numbers
=
30
2
(
11
+
98
)
=
15
×
109
=
1635
.
Was this answer helpful?
2
Similar Questions
Q1
What is the sum of all
2
-digit numbers.which when divided by
3
leave
2
as remainder ?
View Solution
Q2
What is the sum of all two-digit numbers which when divided by
3
leave
2
as the remainder?
View Solution
Q3
The sum of all three-digit natural numbers which leave a remainder
2
when divided by
3
View Solution
Q4
Find the sum of all
2
-digit numbers which when divided by
5
leave remainder
1
.
View Solution
Q5
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
View Solution