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AP Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

AP Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis
AP Polycet (Polytechnic) Previous Year Question Papers And Model Papers:
While preparing for AP Polycet (Polytechnic), candidates must also refer to the previous year question papers of the same. Scoring well in AP Polycet (Polytechnic) and understanding weaknesses and strengths in the respective sections.

AP Polycet (Polytechnic) Previous Year Question Papers can be found on this page in PDF format. Students taking the exam to get into some of the best Polytechnic colleges/institutes in the state of Andhra Pradesh may practice these papers to get a clear idea of the structure of the exam, marking scheme, important topics, etc.

AP Polycet Mock Test

AP POLYCET
Section — A
MATHEMATICS

1)Which of the following rational numbers has terminating decimal expansion?

A) $\frac7{40}$

B) $\frac{11}{35}$

C) $\frac5{21}$

D) $\frac2{15}$

View Answer

A) $\frac7{40}$

Explanation:A rational number has a terminating decimal if its denominator (after simplification) has only 2 and/or 5 as prime factors.
$\frac{7}{40}$

: 40 = 2³ × 5 → TerminatingOthers (35, 21, 15) have 3 or 7 → Non-terminating
Answer: $\frac{7}{40}$

2)Which of the following is not an irrational number?

A) √2

B) √3

C) √4

D) √5

View Answer

C) √4
Explanation: $\sqrt{2}, \sqrt{3}, \sqrt{5}$

are irrational $\sqrt{4} = 2$

, which is rational
Answer: $\sqrt{4}$

3)If p and q are two positive integers such that p=a³b² and q=ab³, where a and b are prime numbers, then HCF(p,q) is

A) ab

B) ab²

C) a³b³

D) a²b²

View Answer

B) ab²
Explanation:Given:
p = a³b²
q = ab³
HCF = lowest powers of common primes:
$a^1b^2$

4)The sum of exponents of the prime factors in the prime factorization of 196 is

A) 1

B) 2

C) 6

D) 4

View Answer

D) 4
Explanation:196 = 2² × 7² → sum of exponents = 2 + 2 = 4

5)According to the fundamental theorem of arthimetic, if p (a prime number) divides a², where a is +ve integer, then

A) a divides p

B) a² divides p

C) p divides a

D) None of these

View Answer

C) p divides a
Explanation:If a prime p divides a², then p must divide a (from Fundamental Theorem of Arithmetic)

6)If log $\frac ab$ +log $\frac ba$ = log(a+b), then

A) a+b=1

B) a=b

C) a-b=1

D) None of these

View Answer

A) a+b=1
Explanation:Use log laws:
$\log\frac{a}{b} + \log\frac{b}{a} = \log(a+b)$

$\log\left(\frac{a}{b} × \frac{b}{a}\right) = \log(1) = 0$

So, log(a+b) = 0 ⇒ a+b = 1

7)Which of the following collections is not a set?

A) The collection of all boys in a class

B) The collection of all even integers

C) The collection of ten most talented writers of India

D) None of the above

View Answer

C) The collection of ten most talented writers of India
Explanation:”A collection of ten most talented writers of India” is not well-defined (subjective) → not a set

8)Match the following:

A) A-(i),B-(ii),C-(iii)

B) A-(iii),B-(ii),C-(i)

C) A-(ii),B-(i),C-(iii)

D) A-(ii),B-(iii),C-(i)

View Answer

D) A-(ii),B-(iii),C-(i)
Explanation:a) Null set → (ii) {x: x is a whole number and x < 0} = Ø
b) Singleton set → (iii) {x: x is an even prime number} = {2}
c) Infinite set → (i) {x: x is a real number}
Answer:A-(ii), B-(iii), C-(i)

9)If A and B are disjoint sets, then

A) AUB=A

B) A∩B=A

C) A∩B={0}

D) A∩B=Φ

View Answer

D) A∩B=Φ
Explanation:Disjoint sets → no common elements → intersection = empty set
Answer:A ∩ B = Φ

10)In a class of 60 students, 45 students like music, 50 students like dance and 5 students like neither. Then the number of students in the class who like both music and dance is

A) 35

B) 40

C) 50

D) 55

View Answer

B) 40
Explanation:Let M = students liking music = 45
D = dance = 50
Total = 60, 5 like neither → 55 like music or dance
Use:
n(M ∪ D) = n(M) + n(D) – n(M ∩ D)
→ 55 = 45 + 50 – x → x
= 40

Your Score: 0 / 0

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AP POLYCET Section — A MATHEMATICS

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AP POLYCET
Section — A
MATHEMATICS