Number Puzzles
Number Puzzles is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2014). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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बाहेरच्या बाजूला चार संख्या असलेली तीन वर्तुळे आहेत. त्यापैकी पहिल्या दोन वर्तुळात विशिष्ट नियमानुसार संख्या भरलेल्या आहेत. परंतु तिसऱ्या वर्तुळात प्रश्नार्थक चिन्ह (?) आहे. दिलेल्या पर्यायांपैकी एक संख्या, त्या नियमानुसार त्या प्रश्नार्थक चिन्हा (?) ची जागा घेऊ शकते. ती संख्या शोधा : There are three circles, with four numbers outside them. In the first two circles, numbers have been filled according to a rule. But in the third circle a question mark (?) is given. Out of the given alternatives one number can occupy the place of (?) ; according to that rule. Find it :
The mathematical relationship between the outer numbers in the first two circles (e.g., sum, product, difference operations combined) gives the central or missing number, which evaluates to 17 for the third circle.
प्रश्नचिन्हाच्या (?) जागी कोणती संख्या असेल? [Diagram showing a stack of triangles with numbers: 3, 5, 8, 13, 22, ?] Which number will replace the question mark (?) :
The differences between the numbers are 2, 3, 5, 9, and those differences themselves grow by 1, 2, 4. The next difference is 9 + 8 = 17, so the missing number is 22 + 17 = 39.