CAT 2017 Number System Question (Medium)

Question

Let a , a , a , a , a be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a . If the sum of the numbers in the new sequence is 450, then a is TITA

Accepted Answer

Step 1 Let the five consecutive odd numbers be a , a , a , a , a Since they are consecutive odd numbers, we can write a x a x 2 a x 4 a x 6 a x 8 Step 2 Now we are given a new sequence of five consecutive even numbers ending with 2a . So the even numbers are y, y 2, y 4, y 6, y 8 2a So, y 8 2a y 2a

CAT 2017

Quantitative

Number System

Medium

Let a₁, a₂, a₃, a₄, a₅ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a₃. If the sum of the numbers in the new sequence is 450, then a₅ is [TITA]

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