Question Paper from: IBPS Clerk Prelims 2017

Sum of 4 consecutive even number is greater than three consecutive odd numbers by 81. If a sum of least odd and even number is 59, then find the sum of largest odd and even numbers.

None of these

Solution:

Chapter Name: Number System

Let least even number = x

Consecutive even numbers ⇒ x, x+2, x+4, x+6

Let least odd number = y

Consecutive odd numbers = y, y + 2, y + 4

ATQ

[x + (x + 2) + (x + 4) + (x + 6)] – [y + (y + 2) + (y + 4)] = 81

4x + 12 – 3y – 6 = 81

4x – 3y = 75 …(i)

Now, sum of smallest even and odd numbers x + y = 59 …(ii) (given)

solving (i) and (ii) x = 36, y = 23

Now sum of largest even number and largest odd number ⇒ (36 + 6) + (23 + 4)

= 69

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