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Question : Directions: Select the missing number from the given responses.

121 81 49
100 64 36
15 16 25
? 31 41

Option 1: 11

Option 2: 29

Option 3: 24

Option 4: 15


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 29


Solution : Given:

121 81 49
100 64 36
15 16 25
? 31 41

The pattern is running horizontally along the rows.
Row 1: [(121 + 49) ÷ 2] – 4 = [170 ÷ 2] – 4 = 85 – 4 = 81
Row 2: [(100 + 36) ÷ 2] – 4 = [136 ÷ 2] – 4 = 68 – 4 = 64
Row 3: [(15 + 25) ÷ 2] – 4 = [40 ÷ 2] – 4 = 20 – 4 = 16
Row 4: [((?) + 41) ÷ 2] – 4 = 31
⇒ [((?) + 41) ÷ 2] = 31 + 4
⇒ ((?) + 41) ÷ 2 = 35
⇒ (?) + 41 = 35 × 2
⇒ (?) + 41 = 70
⇒ (?) = 70 – 41
⇒ (?) = 29

So, 29 is the missing number. Hence, the second option is correct.

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