Cube patterns
Cube patterns is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2014, 2025). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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खालील संख्या क्रमाने लावून प्रश्नचिन्हाच्या जागेवर संख्या द्या. Arrange the following number in sequence and replace the question mark. 48 : 513 :: 63 : ?
48 = 7² − 1 and 513 = 8³ + 1: the first number is one less than a square, and the second is the next number cubed plus one. In the same way 63 = 8² − 1, so the answer is 9³ + 1 = 729 + 1 = 730.
खाली एक संख्या मालिका दिलेली आहे. त्यापैकी एक पद चुकीचे आहे. चुकीचे पद दिलेल्या पर्यायामधून निवडा. 3, 10, 29, 60, 127, 218, 345 A number series is given, with one wrong term. Select the wrong term from the given alternatives : 3, 10, 29, 60, 127, 218, 345
The series follows the pattern n³ + 2: 1³+2=3, 2³+2=10, 3³+2=29, 4³+2=66 (given is 60), 5³+2=127, 6³+2=218, 7³+2=345. Thus, 60 is the wrong term.