What should come in place of the question mark (?) in the given series? 5 14 22 48 56 ?
What should come in place of the question mark (?) in the given series?
दी गई श्रृंखला में प्रश्नचिह्न (?) के स्थान पर क्या आएगा?
5 14 22 48 56 ?
Detailed Solution & Logic
116
दी गई श्रृंखला:
5, 14, 22, 48, 56, ?
अब पैटर्न देखें:
$5 \times 2 + 4 = 14$
$14 \times 2 - 6 = 22$
$22 \times 2 + 4 = 48$
$48 \times 2 - 40 = 56$ ✘
अब अंतर देखें:
14 - 5 = 9
22 - 14 = 8
48 - 22 = 26
56 - 48 = 8
यहाँ पैटर्न है:
+9, +8, +26, +8
अर्थात हर दूसरे चरण में $+8$ जुड़ रहा है और बीच के अंतर लगभग तीन गुना हो रहे हैं:
9, 26, ?
$9 \times 3 - 1 = 26$
$26 \times 3 + 1 = 79$
अब:
56 + 79 = 135 ✘
अब दूसरे तरीके से देखें:
श्रृंखला को दो भागों में बाँटें:
5, 22, 56
14, 48, ?
दूसरी श्रृंखला:
14 to 48 = +34
अब अगला:
48 + 68 = 116
अतः सही उत्तर है:
116
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