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

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Polycet Mock Test

16) The value of k for which the pair of linear equations ky-y=2 and 6x-2y=3 has a unique solution, is

A) k=3
B) k≠3
C) k=0
D) k≠0

View Answer
B) k≠3

Explanation:Given equations:
kx – y = 2
6x – 2y = 3
For unique solution, the ratio of coefficients must not be equal:
Check: \frac{k}{6} \neq \frac{-1}{-2} = \frac{1}{2} ⇒ k \neq 3
Answer:k ≠ 3

17) The pair of equations y=7 and y=-7 has

A) unique solution
B) two solutions
C) infinitely many solutions
D) no solution

View Answer
D) no solution

Explanation:y = 7 and y = -7 are parallel lines, never intersect →
Answer:no solution

18) If the sum of the ages of a father and his son is 65 years and twice the difference of their ages is 50 years, then the age of the father in years is

A) 45
B) 40
C) 50
D) 55

View Answer
A) 45

Explanation:Let father’s age = x, son’s = y
Given:
x + y = 65
2(x – y) = 50 ⇒ x – y = 25
Solve:
Add equations:
→ 2x = 90 ⇒ x = 45
Answer:45

19) The 15th term of an AP=10,-5,0,5….. is

A) 55
B) 60
C) 65
D) None of these

View Answer
D) None of these

Explanation:AP: 10, -5, 0, 5…
This seems wrong because 10 to -5 is a difference of -15, not an AP. But let’s assume:
Correct AP: 10, 5, 0, -5… then a = 10, d = -5
an = a + (n – 1)d = 10 + 14×(-5) = 10 – 70 = -60
But that doesn’t match options.
If AP is -5, 0, 5…, then a = -5, d = 5
15th term = -5 + 14×5 = 65

20) If the first and fourth terms of a GP are 1 and 27 respectively, then the common ratio is

A) 2
B) 4
C) 3
D) 6

View Answer
C) 3

Explanation:First term a = 1, fourth term = ar3 = 27
→ r3 = 27 ⇒ r = 3

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