एक पासे की खुली हुई शीट पर विचार करें जहाँ फलक इस प्रकार व्यवस्थित हैं कि मानक एकांतर नियम लागू होते हैं: A, C के विपरीत है, B, E के विपरीत है, और D, F के विपरीत है। जब इस शीट को एक घन बनाने के लिए मोड़ा जाता है, तो 'F' वाले फलक के विपरीत फलक पर कौन सा अक्षर होगा?

A die has its faces marked with digits 1, 2, 5, 6, 8, and 9. Three positions of the die are given where 2 is opposite 8, 1 is opposite 9, and 5 is opposite 6. In one position, a face is masked with '#', showing '#' adjacent to 2 and 9 (making '#' equal to 6). Consider the statements: I) The product of '#' and the side opposite to it is 54. II) The sum of '#' and the side opposite to '6' is a prime number. III) The square root of the sum of all sides adjacent to '#' is a rational number. Which of the statements is/are true?

In a folded cube, if the layout of adjacent faces is such that N is opposite to S, R is opposite to T, and M is opposite to O, which face is opposite to the face with O?