AP Polycet (Polytechnic) 2021 Previous Question Paper with Answers And Model Papers With Complete Analysis

21) The arithmetic mean of a-3d,a-d,a+d and a+3d

A) a
B) d
C) 2a
D) 2d

View Answer
A) a

Explanation:To find the arithmetic mean, use the formula:
\text{Mean} = \frac{\text{Sum of terms}}{\text{Number of terms}}

Given terms:a – 3d, a – d, a + d, a + 3d
Step 1: Add them all
(a – 3d) + (a – d) + (a + d) + (a + 3d) = 4a
Step 2: Divide by number of terms (4)
\frac{4a}{4} = a
Final Answer: a

22) Which of the following is not a measure of central tendency

A) Mean
B) Median
C) Range
D) Mode

View Answer
C) Range

23) The product of two numbers is 30. If their HCF is 5, then LCM is

A) 5
B) 6
C) 4
D) 8

View Answer
B) 6

Explanation:Use the shortcut formula:
\text{HCF} \times \text{LCM} = \text{Product of the numbers}
Given:
Product = 30
HCF = 5
So:
5 \times \text{LCM} = 30 \Rightarrow \text{LCM} = \frac{30}{5} = 6
Final Answer: 6

24) The smallest odd composite number is

A) 3
B) 5
C) 7
D) 9

View Answer
D) 9

Explanation:A composite number has more than two factors (not prime), and an odd number is not divisible by 2.
Check options:
3 → Prime
5 → Prime
7 → Prime
9 → 3 × 3 → More than 2 factors → Composite and odd
Final Answer: 9

25) √2 is

A) a rational number
B) an irrational number
C) a prime number
D) a composite number

View Answer
B) an irrational number

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