Question Details

What will come in the place of question (?) mark in the following number series.

40, 66, 116, 198, 320, ?

Options

A

470

B

490

C

510

D

480

E

520

Show Answer

Correct Answer :

Option B

490

Solution :

The correct option is 490.

To find the missing number in the given series, let us analyze the pattern by calculating the differences between consecutive terms.

The given number series is:
40, 66, 116, 198, 320, ?

Step 1: Calculate the first-level differences between consecutive terms:
66-40=26
116-66=50
198-116=82
320-198=122

Step 2: Calculate the second-level differences (the differences between the first-level differences):
50-26=24
82-50=32
122-82=40

Step 3: Determine the pattern in the second-level differences:
Notice that the second-level differences increase consistently by 8:
24+8=32
32+8=40

Step 4: Calculate the missing term:
The next second-level difference will be:
40+8=48
Adding 48 to the last first-level difference (122) gives the next difference to be added:
122+48=170
Finally, add 170 to the last term of the series (320) to find the missing term:
320+170=490

Therefore, the number that replaces the question mark (?) is 490.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CLAT
  • intermediate
  • 2 hours
  • current affairs, general knowledge, legal reasoning, logical reasoning, quant

  • CLAT
  • intermediate
  • 2 hours
  • current affairs, english, general knowledge, legal reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...