Exponents
Exponents is an concept from the MPSC syllabus, tested in 2 past MPSC questions (2023, 2024). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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20 प्रश्नांची प्रश्नपत्रिका तयार केली आहे. प्रत्येक प्रश्नाला दोन अंतर्गत पर्याय आहेत. दिलेल्या सर्व प्रश्नातील एक किंवा अधिक प्रश्नांना उत्तरे देण्याच्या विद्यार्थ्याला शक्य असणाऱ्या मार्गांची संख्या निवडा.
Each of the 20 questions can be dealt with in 3 ways: answer the first internal option, answer the second, or leave it. That gives 3^20 combinations, one of which is 'no question answered'. Since at least one question must be answered, the number of ways is 3^20 − 1.
सोपे रूप द्या : (4/7)√147 + (3/8)√192 − (1/5)√75
Simplify each surd by breaking it into prime factors (e.g., √147 = √(49*3) = 7√3). Substitute these back and combine like terms to get the final answer.