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Byju's Answer
Other
Quantitative Aptitude
Functions
The value of ...
Question
The value of
30
∑
r
=
16
(
r
+
2
)
(
r
−
3
)
is equal to:
A
7775
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B
7785
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C
7770
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D
7780
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Solution
The correct option is
D
7780
30
∑
r
=
16
(
r
+
2
)
(
r
−
3
)
=
30
∑
r
=
16
(
r
2
−
r
−
6
)
=
30
∑
r
=
1
(
r
2
−
r
−
6
)
−
15
∑
r
=
1
(
r
2
−
r
−
6
)
=
(
30
×
31
×
61
6
−
30
×
31
2
−
6
×
30
)
−
(
15
×
16
×
31
6
−
15
×
16
2
−
6
×
15
)
=
8810
−
1030
=
7780
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