Question Details

Identify the number that should replace the question mark (?) in the sequence given below to complete the pattern.

120, 208, 286, ?, 412, 460

Options

A

360

B

348

C

354

D

340

E

364

Show Answer

Correct Answer :

Option C

354

Solution :

The correct answer is 354.


To find the missing number in the sequence, let us analyze the differences between consecutive terms:


1st difference: 208 - 120 = 88


2nd difference: 286 - 208 = 78


Notice the pattern in the differences: each successive difference decreases by 10.


Following this pattern, the next difference should be:


3rd difference: 78 - 10 = 68


Now, add this difference to the term preceding the question mark (286):


286+68=354


Let us verify the remaining terms using the same decreasing difference pattern:


4th difference: 68 - 10 = 58


Check next term: 354 + 58 = 412 (Matches the given sequence)


5th difference: 58 - 10 = 48


Check final term: 412 + 48 = 460 (Matches the given sequence)


Thus, the number that replaces the question mark (?) is 354.

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
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

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