2 Mark Question

Question 12 Marks

Rahul scores 80 marks in English and x marks in Hindi. What is his total score in the two subject?

Answer

Marks obtained in English = 80
Marks obtained in hindi = x
Total marks obtained = 80 + x

Question 22 Marks

One pencil costs Rs. 2 and one fountain pen costs Rs. 15. What is the cost of x pencils and y fountain pens?

Answer

Cost of one pencil = Rs. 2
Cost of x pencils = Rs. 2x
Cost of one fountain pen = Rs. 15
Cost of y fountain pens = Rs. 15y
Total cost of x pencils and y fountain pens = Rs. (2x + 15y)

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Question 32 Marks

Think of a number. Multiply it by 5. Add 6 to the result. Subtract y from this result. What is the result?

Answer

Let the number be x.
On multiplying the number by 5, we get:
5x
Further, adding 6 to 5x, we get:
5x + 6
Finally, on subtracting y from 5x + 6, we get:
5x + 6 - y

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Question 42 Marks

The number of rooms on the ground floor of a building is 12 less than the twice of the number of rooms on first floor. If the first floor has x rooms, how many rooms does the ground floor has?

Answer

Let the number of rooms on the ground floor be y.
It is given that the number of rooms on the first floor is x; therefore, we have:
y = 2 × x - 12
= 2x - 12
Thus, the number of rooms on the ground floor is 2x - 12.

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Question 52 Marks

The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is two-third of its breadth. Find its area if its breadth is x cm.

Answer

Breadth of the given rectangle = x cm.
Length of the rectangle $=\frac{2}{3}\text{x cm}$
$\therefore$ Area of rectangle $=\frac{2}{3}\text{x}\times\text{x}=\frac{2}{3}\text{x}^2\ \text{cm}^2$

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Question 62 Marks

The number of bacteria in a culture is x now. If becomes square of itself after one week. What will be its number after two weeks?

Answer

Present number of bacteria in a culture $=x$
Number of bacteria in the culture after one week $=x^2$
Number of bacteria in the culture after two weeks $=\left(x^2\right)^2=x^4$

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Question 72 Marks

Write down $7 x y^2 \times 3 x^2 y \times 5 y^4$ in the exponential form.

Answer

$7 x y^2 \times 3 x^2 y \times 5 y^4=(7 \times 3 \times 5) \times\left(x \times x^2\right) \times\left(y^2 \times y \times y^4\right)=105 x^3 y^7$

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Question 82 Marks

One apple weighs 75 grams and one orange weighs 40 grams. Determine the weight of x apples and y oranges.

Answer

Weight of an apply = 75 grams.
Weight of an orange = 40 grams.
Weight of x apples = 75 × x = 75x grams.
Weight of y oranges = 40 × y = 40y grams.
Total weight of x apples and y oranges = (75x + 40y) grams.

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Maths 2 Mark Question

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