10:[["$","title","0",{"children":"CUET Mathematics - The unit's digit of 2^2025 is | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined The unit's digit of powers of 2 follows a pattern. Looking at the first few powers: 2^1 = 2 → unit's digit is 2 2^2 = 4 → unit's digit is 4 2^3 = 8 → unit's digit is 8 2^4 = 16 → unit's digit is 6 2^5 = 32 → unit's digit is 2 2^6 = 64 → unit's digit is 4 2^7 = 128 → unit's digit is 8 2^8 = 256 → unit's digit is 6 The pattern of unit's digits repeats every 4 powers: 2, 4, 8, 6, 2, 4, 8, 6, ...

To find where 2^2025 falls in this cyc<=, divide the exponent by 4: 2025 4 = 506 remainder 1

The remainder determines the unit's digit: Remainder 1 → same unit's digit as 2^1 → 2 Remainder 2 → same unit's digit as 2^2 → 4 Remainder 3 → same unit's digit as 2^3 → 8 Remainder 0 → same unit's digit as 2^4 → 6

Since the remainder is 1, the unit's digit of 2^2025 is 2."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"CUETMAT,MAT,Arithmetic,Numericals"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"CUET Mathematics - The unit's digit of 2^2025 is | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined The unit's digit of powers of 2 follows a pattern. Looking at the first few powers: 2^1 = 2 → unit's digit is 2 2^2 = 4 → unit's digit is 4 2^3 = 8 → unit's digit is 8 2^4 = 16 → unit's digit is 6 2^5 = 32 → unit's digit is 2 2^6 = 64 → unit's digit is 4 2^7 = 128 → unit's digit is 8 2^8 = 256 → unit's digit is 6 The pattern of unit's digits repeats every 4 powers: 2, 4, 8, 6, 2, 4, 8, 6, ...

To find where 2^2025 falls in this cyc<=, divide the exponent by 4: 2025 4 = 506 remainder 1

Since the remainder is 1, the unit's digit of 2^2025 is 2."}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/cuet-mathematics/2025/slot-18/79"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | CUET Mathematics Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"CUET Mathematics - The unit's digit of 2^2025 is | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined The unit's digit of powers of 2 follows a pattern. Looking at the first few powers: 2^1 = 2 → unit's digit is 2 2^2 = 4 → unit's digit is 4 2^3 = 8 → unit's digit is 8 2^4 = 16 → unit's digit is 6 2^5 = 32 → unit's digit is 2 2^6 = 64 → unit's digit is 4 2^7 = 128 → unit's digit is 8 2^8 = 256 → unit's digit is 6 The pattern of unit's digits repeats every 4 powers: 2, 4, 8, 6, 2, 4, 8, 6, ...

To find where 2^2025 falls in this cyc<=, divide the exponent by 4: 2025 4 = 506 remainder 1

Since the remainder is 1, the unit's digit of 2^2025 is 2."}],"$L17","$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20"]

CUET Mathematics 2025 2 June Shift 1 PYQs

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