Question Details

Select the number from among the given options that can replace the question mark (?) in the following series.
115, 140, 160, 175, 185, ?

Options

A

193

B

195

C

192

D

190

Show Answer

Correct Answer :

Option D

190

Solution :

The correct answer is 190.

To find the missing number that replaces the question mark (?) in the series, let's analyze the differences between consecutive terms:
115, 140, 160, 175, 185, ?

Let's calculate the difference between each term and the preceding one:
First difference: 140-115=25
Second difference: 160-140=20
Third difference: 175-160=15
Fourth difference: 185-175=10

Looking at the differences: 25, 20, 15, 10, we can see that they form a decreasing arithmetic progression where each difference decreases by 5.
Following this pattern, the next difference must be:
10-5=5

To find the next term (?) in the series, we add this difference to the last term (185):
185+5=190

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