MPSC PYQ

Algebra

Algebra is a Aptitude concept from the MPSC syllabus, tested in 2 past MPSC questions (2017, 2019). Below are those real questions with their correct answers and explanations, plus the concepts worth being comfortable with first.

Real questions
2
Years tested
2 · 2017–2019
In context
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What you need to know first

Basic algebraFractionsSubstitution methodNatural numbers definition

Real questions that test this

प्रश्नचिन्हाच्या जागी अचूक पर्याय निवडा. जर p/q = 5/4, तर (3p + 2q)/(3p - 2q) = ? Replace the question mark choosing the correct alternative. If p/q = 5/4, then (3p + 2q)/(3p - 2q) = ?

1)32/7
2)15/8
3)23/7✓ Correct
4)8/15

Substitute p = 5x and q = 4x into the expression (3(5) + 2(4)) / (3(5) - 2(4)) which evaluates to (15+8)/(15-8) = 23/7.

x च्या ज्या किंमतीसाठी x²/4 + x/2 - 4 या राशीचे मूल्य 0 ते 4 या दरम्यानची नैसर्गिक संख्या आहे ती निवडा.

a)3
b)4✓ Correct
c)5
d)6

Substitute the given options for x into the expression and find which one results in a natural number between 0 and 4. For x = 4, (16/4) + (4/2) - 4 = 4 + 2 - 4 = 2, which lies between 0 and 4.

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