CUET PG 2024 — Reasoning PYQ

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Question

CUET PG 2024 — Reasoning PYQ

CUET PG | Reasoning | 2024

Amit was counting down from 34, Punit was counting upwards the numbers starting from 2 and he was calling out only the even numbers. What common number will they call out at the same time if they were calling out at the same speed?

Choose the correct answer:

Explanation

Logic Breakdown

Maana ki dono vyakti ek hi samay par $n$ -ve (nth) number ko pukaarte hain.

Amit ki counting: Woh 34 se niche gin raha hai ( $34, 33, 32, \dots$ ).
- Amit ka $n$ -va number: $A_n = 34 - (n - 1) = 35 - n$
Punit ki counting: Woh 2 se shuru karke sirf even numbers (sam sankhya) pukaar raha hai ( $2, 4, 6, \dots$ ).
- Punit ka $n$ -va number: $P_n = 2 + (n - 1) \times 2 = 2n$

Equation Solution

Dono ka common number nikaalne ke liye hum dono equations ko barabar (equal) rakhenge:

A_n = P_n

35 - n = 2n

35 = 2n + n

3n = 35

n = \frac{35}{3} = 11.66\dots

n = \frac{35}{3} = 11.66\dots