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IBPS RRB Officer Prelims 09 Sep 2017 Shift 1 Paper
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© examsnet.com
Question : 46
Total: 80
There are three consecutive odd numbers and three consecutive even numbers. The smallest even number is 9 more than largest odd number. If the square of average of all the three given odd numbers is 507 less than the square of the average of all the three given even numbers, what is the smallest odd number?
11
13
17
19
9
Validate
Solution:
(1) Let the three consecutiveodd numbers be 2x + 1, 2x + 3and 2x + 5.
∴ Three consecutive evennumbers will be :
2x + 14, 2x + 16 and 2x + 18.
According to the question,
[
2
x
+
14
+
2
x
+
16
+
2
x
+
18
3
]
2
–
[
2
x
+
1
+
2
x
+
3
+
2
x
+
5
3
]
2
= 507
⇒
(
2
x
+
16
)
2
–
(
2
x
+
3
)
2
=
507
⇒
(
2
x
+
16
+
2
x
+
3
)
(
2
x
+
16
–
2
x
–
3
)
=
507
⇒
(
4
x
+
19
)
×
13
=
507
⇒
4
x
+
19
=
507
13
=
39
⇒
4
x
=
39
–
19
=
20
⇒
x
=
20
4
=
5
∴Smallest odd number
=
2
x
+
1
=
2
×
5
+
1
=
11
© examsnet.com
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