PGT Maths

PGT Maths Interview Questions and Answers

Updated 6 Jan 2023

Q1. Difference between derivatives and integrals, Why tangent is zero at maximum point. Integrals formula and property related questions.

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Explanation of derivatives, integrals, tangent at maximum point, and integral formulas and properties.

Derivatives are the rate of change of a function, while integrals are the accumulation of a function over an interval.
The tangent at the maximum point of a function is zero because it is a horizontal line and has no slope.
Integral formulas include the power rule, product rule, and chain rule, while integral properties include linearity and the fundamental theorem of calculus.

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To convert sine inverse graph to cosec inverse graph, use the formula: cosec inverse x = sine inverse (1/x)

The graph of sine inverse x and cosec inverse x are mirror images of each other about the line y=x.
To convert the sine inverse graph to cosec inverse graph, replace x with 1/x in the sine inverse formula.
The domain and range of the two graphs are different.
The domain of sine inverse x is [-1, 1] while the domain of cosec inverse x is (-∞, -1] U [1, ∞].
The range of sine i...read more

PGT Maths Interview Questions and Answers for Freshers

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The number of persons present in the party can be determined by solving a mathematical equation.

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I would try to make the online classes more engaging and interactive to bring the students back in a happy mood.

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Permutations and combinations are different mathematical concepts used to count and arrange objects.

Permutations involve arranging objects in a specific order.
Combinations involve selecting objects without considering the order.
Permutations use factorial notation, while combinations use binomial coefficients.
Permutations have a larger number of possibilities compared to combinations.
Example of permutation: arranging letters in a word (e.g., 'cat' can be rearranged as 'act' or...read more

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Teachers are preferable than online teaching because they provide personalized guidance, interactive learning experiences, and social interaction.

Teachers provide personalized guidance and support to students, addressing their individual learning needs.
Teachers create interactive learning experiences through hands-on activities, discussions, and group work.
Teachers facilitate social interaction among students, promoting collaboration, teamwork, and communication skills.
Teache...read more

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Education should focus on practical implementation and real-world skills.

Education should not just be about theoretical knowledge but also practical application.
Real-world skills such as critical thinking, problem-solving, and communication should be emphasized.
Technology should be integrated into education to enhance learning and prepare students for the digital age.
Education should be accessible to all, regardless of socioeconomic status or background.
Teachers should be tra...read more

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0 factorial is defined as 1 because it represents the number of ways to arrange 0 objects.

0! is the product of all positive integers less than or equal to 0, which is 1.
It is a convention in mathematics to define 0! as 1.
0! is used in various mathematical formulas and calculations.
For example, in combinatorics, 0! represents the number of ways to arrange 0 objects.