MPSC PYQ

Arithmetic Progression

Arithmetic Progression is a Aptitude concept from the MPSC syllabus, tested in 3 past MPSC questions (2014, 2024). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.

Real questions
3
Years tested
2 · 2014–2024
In context
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What you need to know first

Formula for sum of n terms in APQuadratic equation solving

Real questions that test this

बांधकामाच्या भोवतीच्या मलबाच्या सफाईशी संबंधित करारात ठरलेल्या दिवसांत काम पुरे झाले नाही तर विशिष्ट दंडाची तरतूद पुढीलप्रमाणे केलेली आहे. 1 ल्या दिवसासाठी 250 रुपये; 2 व्या दिवसासाठी 310 रुपये; 3 व्या दिवसासाठी 370 रुपये या प्रमाणे. जर ठेकेदाराने 6960 रुपये दंड भरला असेल तर त्याने कामाला केलेल्या विलंबाचे दिवस निवडा.

1)10
2)11
3)12✓ Correct
4)13

The penalties form an AP where first term a = 250 and common difference d = 60. Using the sum of AP formula S_n = n/2 * [2a + (n-1)d], we substitute S_n = 6960 to find n = 15, representing the number of delayed days.

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 (?) :

a)44
b)35
c)39✓ Correct
d)42

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.

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

a)10
b)29
c)60✓ Correct
d)127

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.

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