Step 1: Find the elements of set .
Step 2: Find the elements of set .
Step 3: Find the intersection of and .
Step 4: Compare with the given options. The correct intersection is not present in any of the options.
02
PYQ 2024
medium
mathematicsID: lpunest-
The symbolic form of logic of the circuit given below is
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Official Solution
Correct Option:
(1)
Step 1: Examine the diagram conceptually. The circuit shows the following gate sequence: - Input goes to a NOT gate → . - Input goes to a NOT gate → . Step 2: The upper branch combines with using an AND operation as per diagram marking:
Step 3: This output is joined with through an OR gate:
Step 4: The final stage ANDs with :
Step 5: Compare options—only option (A) matches this exact Boolean trace. Hence → (A).
03
PYQ 2025
medium
mathematicsID: lpunest-
In how many ways can the number be resolved into two factors?
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4
Official Solution
Correct Option:
(3)
Step 1: Express as a perfect square. Step 2: Find the prime factorisation of . Step 3: Find the total number of factors. If , then number of factors:
Step 4: Find the number of ways to resolve into two factors. Since is a perfect square, the number of distinct factor pairs is:
Step 5: Final conclusion. The number can be resolved into two factors in ways.
About Boolean Algebra - LPUNEST
Boolean Algebra is a vital chapter for LPUNEST aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Boolean Algebra PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Boolean Algebra carry the most weight. Then, tackle the questions iteratively to solidify your understanding.
