Number properties
Number properties is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2022, 2025). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
📅 Today's Daily Challenge
Five fresh MPSC questions, the same for everyone today — free, no signup.
Asked in
What you need to know first
Real questions that test this
जर 357*25* या संखेेला 3 आणि 5 ने भाग जातो, तर अनुक्रमे एकक व हजार स्थानासाठी, उचित अंकजोडी निवडा. (1) 0, 4 (2) 5, 4 (3) 5, 6 (4) 0, 6 If the number 357*25* is divisible by both 3 and 5, then select the appropriate pair of digits in units and thousandth place respectively. (1) 0, 4 (2) 5, 4 (3) 5, 6 (4) 0, 6
For divisibility by 5, the units place must be 0 or 5. For divisibility by 3, the sum of all digits must be divisible by 3. Testing option (3) with units=5 and thousandth=6 satisfies both rules.
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.