A hand-held gaming device takes and as two input values. These values get updated as and at each iteration and the game stops when is greater than or equal to . For , and , what would be the final value of when the game stops?

9450 Explanation: To find the final value of , we must perform the calculations iteration by iteration until the stopping condition is met. Given: Initial Initial Stopping Condition: Update Rule: and Step-by-Step Iteration: Iteration Calculation for X Value of X Value of Y Start - 1 2 3 4 5 6 7 Conclusion: In the 7th iteration, the value of becomes . Since , the game stops. The final value of is . Correct Answer: The correct option is 2 ( ).

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NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

A hand-held gaming device takes $X$ and $Y$ as two input values. These values get updated as $X = X Y /2$ and $Y = Y + 1$ at each iteration and the game stops when $X$ is greater than or equal to $N$ . For $X = 2$ , $Y = 4$ and $N = 3000$ , what would be the final value of $X$ when the game stops?

Iteration	Calculation for X	Value of X	Value of Y
Start	-	$2$	$4$
1	$\frac{2 \times 4}{2}$	$4$	$5$
2	$\frac{4 \times 5}{2}$	$10$	$6$
3	$\frac{10 \times 6}{2}$	$30$	$7$
4	$\frac{30 \times 7}{2}$	$105$	$8$
5	$\frac{105 \times 8}{2}$	$420$	$9$
6	$\frac{420 \times 9}{2}$	$1890$	$10$
7	$\frac{1890 \times 10}{2}$	$9450$	$11$

Iteration	Calculation for X	Value of X	Value of Y
Start	-	$2$	$4$
1	$\frac{2 \times 4}{2}$	$4$	$5$
2	$\frac{4 \times 5}{2}$	$10$	$6$
3	$\frac{10 \times 6}{2}$	$30$	$7$
4	$\frac{30 \times 7}{2}$	$105$	$8$
5	$\frac{105 \times 8}{2}$	$420$	$9$
6	$\frac{420 \times 9}{2}$	$1890$	$10$
7	$\frac{1890 \times 10}{2}$	$9450$	$11$

Choose the correct answer: