Number series
Number series is a Aptitude concept from the MPSC syllabus, tested in 8 past MPSC questions across 4 exam years between 2014 and 2025. Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.
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प्रश्नचिन्हाच्या जागी योग्य पर्याय निवडा. JEWQR : ? :: ? OYQFR Choose the correct option to replace the question mark. JEWQR : ? :: ? OYQFR
Analyzing the alphabetical shifts and backward/forward patterns between the given analogous pairs reveals the correct letter sequences.
एक अंक व्यवस्थापन यंत्र, संख्यांच्या इनपुट ला प्रत्येक चरणात विशिष्ट नियमानुसार पुनर्व्यवस्थित करते. खाली इनपुट आणि पुनर्व्यवस्थापनाचे चरण यांचे एक उदाहरण दिलेले आहे : इनपुट - 38, 28, 3, 7, 30, 5 चरण I - 3, 38, 28, 7, 30, 5 चरण II - 3, 28, 38, 7, 30, 5 चरण III - 3, 28, 5, 38, 7, 30 चरण IV - 3, 28, 5, 30, 38, 7 चरण V - 3, 28, 5, 30, 7, 38 चरण V या इनपुटचा अंतीम चरण आहे. जर 11, 58, 45, 17, 20, 38 हा एखाद्या इनपुटाचा प्रथम चरण असेल तर, 11, 45, 38, 20, 58, 17 हा, त्या इनपुटाचा कोणता चरण असेल? A number arrangement machine rearranges the input of numbers in each step according to some rule; the example of which is given as follows : In put - 38, 28, 3, 7, 30, 5 Step I - 3, 38, 28, 7, 30, 5 Step II - 3, 28, 38, 7, 30, 5 Step III - 3, 28, 5, 38, 7, 30 Step IV - 3, 28, 5, 30, 38, 7 Step V - 3, 28, 5, 30, 7, 38 Step V is the last step of this input. If 11, 58, 45, 17, 20, 38 is the first step of some input then, 11, 45, 38, 20, 58, 17 will be which step of that input?
The machine arrangement shifts numbers step by step following a specific sorting rule. Tracking the exact movement sequence for the given first step leads to Step IV as the match.
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.
पुढील मांडणीतील रिकामी चौकट भरण्यासाठी तर्कसंगत संख्या दिलेल्या पर्यायातून निवडा. Select the logical number for empty box in the following arrangement.
By observing the mathematical pattern or difference between the numbers in the given arrangement, option 4 (33) logically fits into the empty box.
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.