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CTET Paper II (Mathematics and Science) 23 Dec 2021 Solved Paper

Question : 56 of 150

Marks: +1, -0

A middle school mathematics teacher wanted to check the readiness of learners for introducing the topic of Algebraic Equations. She gave the following questions to assess their concepts. Which of these problems would be least relevant for the given purpose?

if you want to distribute 100 candies equally among 15 students, after keeping 5 for yourself, how many candies will finally be left?
There are 6 candies and 8 chocolates in a bag. If you pick one sweet randomly, what is the chance that it will be a candy?
Plot the following on a (x - y) graph: (4, 3), (0, 2), (6, 10)
In a sale, the price of an electric fan decreases by 10%, if the decreased price is Rs 1200, what was the original price of the fan?

Validate

Solution:

Concept:

Algebra involves using variables and operations to form mathematical expressions and equations. Probability deals with chance and random events.

Explanation:

Option A: Keep 5 from 100 candies, then distribute the remaining 95 equally among 15 students. This gives

95 \div 15

leaves remainder 5. This uses arithmetic that leads to forming equations — relevant for algebra.

Option B: Finding the chance (probability) of picking a candy from 6 candies and 8 chocolates. This is a probability question, not an algebraic one — least relevant for introducing equations.

Option C: Plotting points on the

x

y

graph uses coordinates with variables

x

and

y

— directly linked to algebra.

Option D: A 10% decrease gives final price Rs 1200. To find original price, form an equation like

\text{original} - 0.1 \times \text{original} = 1200

0.9 \times \text{original} = 1200

. This is algebraic reasoning.

Only option B deals with probability and does not require forming or solving equations.

Answer:

Option B is the least relevant for assessing readiness for algebraic equations.

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