CUET PG 2022 — Reasoning PYQ

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Question

CUET PG 2022 — Reasoning PYQ

CUET PG | Reasoning | 2022

Complete the series by filling the missing number

2, 5, 14, 57, 284, ?

Choose the correct answer:

Explanation

Series ka Pattern:

Maan lijiye series ke terms $T_1, T_2, T_3, \dots$ hain:

Pehla Term ( $T_1$ se $T_2$ ):

$2 \times 2 + 1 = 5$
Doosra Term ( $T_2$ se $T_3$ ):

$5 \times 3 - 1 = 14$
Teesra Term ( $T_3$ se $T_4$ ):

$14 \times 4 + 1 = 57$
Chautha Term ( $T_4$ se $T_5$ ):

$57 \times 5 - 1 = 284$

Missing Number ki Ganana (Calculation):

Pattern ke anusar, agla step hoga pichle number ko 6 se multiply karna aur usme 1 jodna ( $+1$ ):

\text{Missing Number} = 284 \times 6 + 1

Isse solve karte hain:

284 \times 6 = 1704

1704 + 1 = 1705

Final Result:

Sahi sequence niche di gayi equation se pura hota hai:

2, 5, 14, 57, 284, \mathbf{1705}

Sahi Answer: 1705