If 5y/2=25/4, then the value of 3y² + 2y is

Correct Answer is : 2334233/42343

Correct Answer is : 2334233/42343

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CTET Paper II (Mathematics and Science) 5 Jan 2022 Solved Paper

Question : 36 of 150

Marks: +1, -0

\frac{5y}{2}=\frac{25}{4}

, then the value of 3y^{2} + 2y is

Solution:

Concept:

Solve the given equation for

y

, then substitute the value into the expression

3y^2 + 2y

and simplify.

Explanation:

Start with

\frac{5y}{2} = \frac{25}{4}

. Multiply both sides by

2

to get

5y = \frac{25}{2}

. Then divide by

5

y = \frac{25}{2 \times 5} = \frac{5}{2}

Now substitute

y = \frac{5}{2}

into

3y^2 + 2y

3y^2 = 3 \times \left(\frac{5}{2}\right)^2 = 3 \times \frac{25}{4} = \frac{75}{4}

2y = 2 \times \frac{5}{2} = 5

Add them:

\frac{75}{4} + 5 = \frac{75}{4} + \frac{20}{4} = \frac{95}{4}

Convert to mixed number:

95 \div 4 = 23

remainder

3

, so

23\frac{3}{4}

Answer:

Option B:

23\frac{3}{4}

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