Factors
Factors is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2018, 2025). Below are those real questions with their correct answers and explanations.
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Real questions that test this
102 सेमी, 136 सेमी, 153 सेमी व 289 सेमी लांबी असलेल्या चार कांबी आहेत. सगळ्या कांबीचे समान कमाल लांबीचे तुकडे केले. सर्व कांबीच्या एकूण तुकड्यांची संख्या दर्शवणारा पर्याय निवडा. There are four metal rods of lengths 102 cm, 136 cm, 153 cm and 289 cm each. They are all cut into parts having equal maximum length. Select the option showing the total number of parts of all the rods.
First, find the HCF of the rod lengths (102, 136, 153, 289) to get the maximum length of equal parts, which is 17 cm. Then divide each rod's length by 17 and sum the number of parts to get the total.
दोन संख्यांचा लसावि हा त्यांच्या मसाविच्या 45 पट आहे. जर एक संख्या 125 असून त्यांच्या मसावि आणि लसाविची बेरीज 1150 आहे, तर दुसरी संख्या _______ . The LCM of two numbers is 45 times their HCF. If one of the number is 125 and sum of their HCF and LCM is 1150, then the other number is _______ .
Given LCM = 45 * HCF and LCM + HCF = 1150, we get 46 * HCF = 1150, so HCF = 25 and LCM = 1125. Using Product = LCM * HCF, second number = (25 * 1125) / 125 = 225.