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

Polycet Mock Test

16) A bag contains 4 black balls and 6 red balls, if one ball is drawn at random, then the probability of getting a red ball is

A) $\frac58$
B) $\frac35$
C) $\frac12$
D) $\frac9{13}$

View Answer

B) $\frac35$

Explanation:Let’s solve this using the shortcut method:
Step 1: Total number of balls
\= 4 (black) + 6 (red) = 10 balls
Step 2: Number of favorable outcomes (red ball)
\= 6 red balls
Probability =
$\frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{6}{10} = \frac{3}{5}$
Final Answer: $\frac{3}{5}$

17) E₁ and E₂ are mutually exclusive, then E₁∩E₂=

A) 1
B) 5
C) Φ
D) none of these

View Answer

C) Φ

Explanation:If events E₁ and E₂ are mutually exclusive, it means they cannot happen at the same time.
Shortcut Concept:
Mutually exclusive ⇒ No overlap ⇒
$E_1 \cap E_2 = \varnothing \ (\text{null set})$
Final Answer: Φ (null set)

18) If three coins are tossed, then the total number of outcomes are

A) 2
B) 4
C) 6
D) 8

View Answer

D) 8

Explanation:Shortcut Method:
When n coins are tossed, the total number of outcomes =
$2^n$
Here, n = 3 ⇒
$2^3 = 8$
Final Answer: 8

19) The formula for median in a grouped data is (with usual notation)

A) $L+\frac{{\displaystyle\frac N2}-F}f\times C$
B) $L-\frac{{\displaystyle\frac N2}-F}f$
C) $\frac{{\displaystyle\frac N2}-F}f\times L$
D) $L+\frac{{\displaystyle\frac N2}+F}f\times C$

View Answer

A) $L+\frac{{\displaystyle\frac N2}-F}f\times C$

20) Mode of 1, 2, 3, 8, 10, 11, 16 is

A) 11
B) 1
C) 16
D) none of these

View Answer

D) none of these

Explanation:Shortcut for Mode:
Mode = Number that appears most frequently
Given numbers:
1, 2, 3, 8, 10, 11, 16
Each number appears once → no repetition.
Final Answer: none of these
(Since no number repeats, there’s no mode)

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