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English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Series Completion

English and Logical Reasoning Prep Guide · Logical Reasoning · Series Completion

Find the wrong term in the series given below: 15, 16, 22, 29, 45,...

Find the wrong term in the series given below: 15, 16, 22, 29, 45, 70,…70, \ldots

Options

  1. A22
  2. B70
  3. C29
  4. D16

Correct answer

A. 22

Step-by-step solution

Given series is, 15,16,22,29,45,70,…15,16,22,29,45,70, \ldots The difference between two terms of the series, ⇒16−15=1=12⇒22−16=6= Not a square term ⇒29−22=7= Not a square term ⇒45−29=16=42⇒70−45=25=52\begin{aligned} & \Rightarrow 16-15=1=1^2 \\ & \Rightarrow 22-16=6=\text { Not a square term } \\ & \Rightarrow 29-22=7=\text { Not a square term } \\ & \Rightarrow 45-29=16=4^2 \\ & \Rightarrow 70-45=25=5^2 \end{aligned} Here, difference of terms is a perfect apart from 6 and 7. Also, this difference is increasing with value 1. So, there is difference of 12,22,32,421^2, 2^2, 3^2, 4^2 and 525^2 among the terms. By this difference, the new numbers of series we get, 77015+12=16⇒16+22=20⇒20+32=29⇒29+42=45⇒45+52=. 7{ }_{70}^{15+1^2=16 \Rightarrow 16+2^2=20 \Rightarrow 20+3^2=29 \Rightarrow 29+4^2=45 \Rightarrow 45+5^2=. ~} Here, 20 should come in the series in place of 22. So, the wrong term in the series is 22 . Hence, the correct option is 1.
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