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

16) How many two-digit numbers are divisible by 3?

A) 30
B) 35
C) 40
D) 45

View Answer

A) 30

Explanation:How many two-digit numbers are divisible by 3?
Solution:
The smallest two-digit number divisible by 3 is 12, and the largest is 99.
Number of terms:
$\frac{99 - 12}{3} + 1 = \frac{87}{3} + 1 = 29 + 1 = 30$ .
Answer: 30

17) In an A.P if the first term is 4 and 9th term is 20 then 15th term is

A) 16
B) 32
C) 18
D) 36

View Answer

B) 32

Explanation:In an A.P., if the first term is 4 and the 9th term is 20, then the 15th term is:
Solution:
Given:
First term ( $a_1$ ) = 4
9th term ( $a_9$ ) = 20
In an A.P.,
$a_n = a_1 + (n-1)d$
So,
$a_9 = 4 + 8d = 20$
8d = 16
d = 2
Now,
15th term ( $a_{15}$ )
= 4 + 14 × 2
= 4 + 28
= 32.
Answer: 32

18) The pair of equations x=0 and x=5 has

A) Unique solutions
B) Infinitely many solutions
C) Two solutions
D) No solutions

View Answer

D) No solutions

Explanation:The pair of equations x=0 and x=5 has:
Solution:
x = 0 and x = 5 are two parallel vertical lines, so they never intersect.
Answer: No solutions

19) The degree of a quadratic equation ax² + bx+c=0, a≠0 is

A) 2
B) √2
C) 3√2
D) 2√2

View Answer

A) 2

Explanation:The degree of a quadratic equation ax² + bx + c = 0, a≠0 is:
Solution:
The degree of a quadratic equation is 2 (highest power of x.
Answer: 2

20) The distance between the points (2,3) and (4,1) is

A) 2
B) √2
C) 3√2
D) 2√2

View Answer

D) 2√2

Explanation:The distance between the points (2,3) and (4,1) is:
Solution:
Using the distance formula:
$d = \sqrt{(4-2)^2 + (1-3)^2} = \sqrt{4 + 4} = \sqrt{8} = 2\sqrt{2}$ .
Answer: 2√2
Here are the correct answers with brief explanations for questions 21 to 40 from the TS POLYCET 2022 Mathematics section:

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