Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 4 : $74$

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Detailed Solution

सही उत्तर $74$ है।

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Question:

Find the next term in the series: $2, 6, 12, 22, 40, ?$ / श्रेणी में अगला पद ज्ञात कीजिए: $2, 6, 12, 22, 40, ?$

1.
$66$
2.
$70$
3.
$78$
4.
$74$

Correct Answer: $74$

Successive differences are $4, 6, 10, 18$; each difference exceeds the previous by a doubling increment ($+2, +4, +8$), so the next difference is $18+16 = 34$, giving $40+34 = 74$. / अंतर $4, 6, 10, 18$; अगला अंतर $34$, अतः पद $74$। Option (a) is the trap of adding a constant $+8$ difference pattern ($40+26$).

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