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

Polycet Mock Test

21)Which of the following cannot be a probability?

A) $\frac{2}{3}$

B) 15%

C) 0.7

D) -1.5

View Answer

D) -1.5
Explanation:Probability must be between 0 and 1
Answer: −1.5 (Not valid)

22)If P(E) =, then:

A) 1 – P(E)

B) 1 + P(E)

C) P(E) – 1

D) None of these

View Answer

A) 1 – P(E)
Explanation:The question is incomplete, assuming it meant: If P(E) = p, then P(not E) = ?
Answer: 1 − P(E)

23)Which of the following has equally likely outcomes?

A) Tossing a coin

B) Tossing two coins simultaneously

C) Rolling two dice

D) All of the above

View Answer

D) All of the above
Explanation:All listed have equally likely outcomes
Answer: All of the above

24)A card is drawn from a set of 52 cards. The probability of getting a queen card is:

A) $\frac{4}{53}$

B) $\frac{1}{26}$

C) $\frac{1}{13}$

D) $\frac{4}{13}$

View Answer

C) $\frac{1}{13}$

Explanation:4 Queens in 52 cards → P = 4/52 = 1/13
Answer: $\frac{1}{13}$

25)Ram and Syam are friends. Probability that both will have same birthday is:

A) $\frac{364}{365}$

B) $\frac{1}{365}$

C) $\frac{1}{364}$

D) $\frac{363}{365}$

View Answer

B) $\frac{1}{365}$

Explanation:Probability of same birthday: 1/365
Answer: $\frac{1}{365}$

26)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 = $2^3 × 3^3 × 5^2 × 7 × 13$

27)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

28)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

29)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

30)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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