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CAT 2023 Number System — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Number System

Difficulty

Medium

Question

Slot-1

Suppose Haruka has a special key Δ in her calculator called delta key: Rule 1: If the display shows a one-digit number, pressing delta key Δ replaces the displayed number with twice its value. Rule 2: If the display shows a two-digit number, pressing delta key Δ replaces the displayed number with the number equal to the sum of its digits. Suppose Haruka enters the value 1 and then presses delta key Δ repeatedly. After pressing the key for 68 times, what will be the displayed number?

7

4

10

2

8

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