Madhya Pradesh Police Exam Model Paper 3

Question : 51 of 100

Marks: +1, -0

The sum of 6 consecutive odd numbers is 144. What will be the product of first number and the last number?

Solution:

GIVEN:
The sum of 6 consecutive odd numbers is 144.
CALCULATION:
Let six consecutive odd numbers be

x, x + 2, x + 4, x + 6, x + 8 \and x + 10

.
Now,

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 144

⇒ 6x + 30 = 144

⇒ 6x = 144 – 30

⇒ x = 114{/}6

⇒ x = 19

∴ x + 10 = 29

Hence,
Product of the first number and the last number

= 19 × 29 = 551

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