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What should come in place of question mark (?) in the following number series? 132 156 ? 210 240 272
Question

What should come in place of question mark (?) in the following number series?
132 156 ? 210 240 272

A.

182

B.

204

C.

199

D.

196

Correct option is A

Given:

Number series: 132, 156, ?, 210, 240, 272 We need to determine the missing number (?).

Formula Used:

  • Observe the relationship between consecutive terms and find a logical or arithmetic pattern.

Solution:

  1. Analyze the relationship between terms:
    • From 132 to 156, the difference is 24.
    • From 210 to 240, the difference is 30.
    • From 240 to 272, the difference is 32.
  2. Identify the increasing pattern of differences:
    • The differences between terms increase gradually: 24,26,28,30,32
  3. Apply the increasing difference pattern:
    • After 156, the difference should be 26.
    • Missing term = 156 + 26 = 182 
  4. Verify:
    • From 182 to 210, the difference is 28, which fits the observed pattern.

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