Direction: Find the missing series?

?, 154, 147, 136, 123, 106

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RRB Clerk Prelims Memory Based Paper (Held On: 17 August 2024 Shift 2)
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  1. 159
  2. 160
  3. 132
  4. 154
  5. 205

Answer (Detailed Solution Below)

Option 1 : 159
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Detailed Solution

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Calculation:

154 - 147 = 7

147 - 136 = 11

136 - 123 = 13

123 - 106 = 17

The differences between consecutive terms are 7, 11, 13, and 17. These differences are increasing by prime numbers.

The next difference should be 5 (the previous prime number before 7).

Now, add 5 to 154 to find the missing number:

154 + 5 = 159

∴ The missing term in the series is 159.

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