10:[["$","title","0",{"children":"CUET Mathematics - The unit's digit of 12^12 is equal to: | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined When finding the unit's digit of any number, only the unit's digit of the base number matters. Since 12 ends in 2, we only need to find the pattern of unit's digits for powers of 2.

The first few powers of 2 and their unit's digits: 2^1 = 2 (unit's digit: 2) 2^2 = 4 (unit's digit: 4) 2^3 = 8 (unit's digit: 8) 2^4 = 16 (unit's digit: 6) 2^5 = 32 (unit's digit: 2) 2^6 = 64 (unit's digit: 4) The unit's digits repeat in a cyc<=: 2 4 8 6 2 4 8 6... This cyc<= has <=ngth 4.

To find the unit's digit of 2^12, divide the exponent by 4: 12 4 = 3 with remainder 0 When the remainder is 1: unit's digit is 2 (1st position) When the remainder is 2: unit's digit is 4 (2nd position) When the remainder is 3: unit's digit is 8 (3rd position) When the remainder is 0: unit's digit is 6 (4th position)

Since the remainder is 0, the unit's digit corresponds to the 4th position of the cyc<=. Therefore, the unit's digit of 12^12 is 6."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$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"}],["$","meta","7",{"property":"og:title","content":"CUET Mathematics - The unit's digit of 12^12 is equal to: | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined When finding the unit's digit of any number, only the unit's digit of the base number matters. Since 12 ends in 2, we only need to find the pattern of unit's digits for powers of 2.

Since the remainder is 0, the unit's digit corresponds to the 4th position of the cyc<=. Therefore, the unit's digit of 12^12 is 6."}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/cuet-mathematics/2025/slot-6/78"}],["$","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"}],["$","meta","15",{"name":"twitter:title","content":"CUET Mathematics - The unit's digit of 12^12 is equal to: | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined When finding the unit's digit of any number, only the unit's digit of the base number matters. Since 12 ends in 2, we only need to find the pattern of unit's digits for powers of 2.

Since the remainder is 0, the unit's digit corresponds to the 4th position of the cyc<=. Therefore, the unit's digit of 12^12 is 6."}],"$L17","$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20"]

CUET Mathematics 2025 15 May Shift 2 PYQs

Keyboard Shortcuts