AP Polycet (Polytechnic) 2025 Previous Question Paper with Answers And Model Papers With Complete Analysis

27) 491400 =

A) 23 × 33 × 53 × 7 × 13
B) 23 × 33 × 52 × 7 × 13
C) 23 × 32 × 52 × 7 × 13
D) 22 × 32 × 52 × 7 × 13

View Answer
B) 23 × 33 × 52 × 7 × 13

Explanation:Prime factor 491400 =
Use divisibility:
491400 = 2^3 × 3^3 × 5^2 × 7 × 13

28) Which of the following is not irrational?

A) 5 – √3
B) 7 – √4
C) √2 + √3
D) √2 – √3

View Answer
B) 7 – √4

Explanation:7 − √4 = 7 − 2 = 5 (rational)
Answer: 7 − √4

29) Which of the following is true?

A) HCF(p × q × r) × LCM(p × q × r) = p × q × r
B) HCF(p × q × r) + LCM(p × q × r) = p × q × r
C) HCF(p × q × r) × LCM(p × q × r) ≠ p × q × r
D) HCF(p × q × r) – LCM(p × q × r) = p × q × r

View Answer
A) HCF(p × q × r) × LCM(p × q × r) = p × q × r

Explanation:HCF × LCM = product of numbers
Answer: HCF(pqr) × LCM(pqr) = pqr

30) A prime number p divides a2 where a is a positive integer, then

A) p divides a
B) p does not divide a
C) p is equal to a
D) All of these

View Answer
A) p divides a

Explanation:If p | a² ⇒ p | a (by prime property)
Answer: p divides a

31) The zero of linear polynomial ax + b is:

A) \frac{a}{b}
B) \frac{-a}{b}
C) \frac{b}{a}
D) \frac{-b}{a}

View Answer
D) \frac{-b}{a}

Explanation:Zero of ax + b = 0 ⇒ x = −b/a
Answer: \frac{-b}{a}

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