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Simplified form of the algebraic expression $\frac{x^2}{4}-2x^2+\frac{3x^2}{4}$ is

Which of the following is not an example of 3D object?

Question 21

If two supplementary angles are in the ratio 1: 2 , then bigger angle is
(a) ${120}^{\circ }$
(b) ${125}^{\circ }$
(c) ${110}^{circ}$
(d) ${90}^{\circ }$

Find the value of
$-\frac{16}{3}÷-\frac{4}{3}.$

Allen was given a set of $7$ numbers and was asked to calculate the mean. She computed the value of mean as $14$. But later teacher informed her that she computed the wrong mean by taking $8$ in place of $6$ and asked her to obtain the correct mean. So, what will be the actual mean?

Simplify ${\left(256\right)}^{\frac{-1}{2}}$.

LCM of $15$ and $18$ is

Find the value of m in the figure given below.

Consider the number $146+x,$ where $x$ is a single-digit number. Find the value(s) of $x$ such that the given number is divisible by $4.$

Question 43

State whether the given statements are true or false
$1^0\times 0^1=1$

The value of $\int \frac{x\cos \alpha +1}{{(x^2+2x\cos \alpha +1)}^{3/2}}dx$ is

(where $C$ is constant of integration)

List three rational numbers between $–2$ and $–1$.

Question 3 (vi)

Find the product:
$\frac{3}{-5}\times \frac{-5}{3}$

1. 2

A man purchased a hair dryer for $\$300$. He marked them at a 20% higher price than the cost price. Finally he sold the hair dryer at 20% discount. Find the selling price of the hair dryer.

Which of the following congruency conditions is preferred to draw a triangle exactly congruent to a right angled triangle?

Sort the following in the ascending order of their values from top to bottom.

Which of the following shapes has the maximum number of lines of symmetry?

Question 82
State whether the statement is True or False.
A cone is a polyhedron.

You have to buy a pair of running shoes. You have 3 brands: Ruma, Peebok and Abibas. You go online and search for reviews of different brands. There you saw that on the basis of stars, brands are rated. More stars imply better rating. Find the average star rating for Ruma. (approx)

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Out of 40 cupcakes, Sally sold at least 25 cupcakes. If $s$ is the number of cupcakes sold, then .

Question 92 (a)

Write the following as rational number in their standard forms.
35%

सर-सर सर-सर उड़ी पतंग

घंटी बोली ............... ................ .......................

उड़ता कपड़ा ............... ................. .......................

..................... ..................... खन-खन-खन

You are given the measurement of two sides of a right angled triangle such that these sides enclose the right angle. What else do you need in order to draw a triangle?

Evaluate the product $(2x+3y)(4x+9y)$ using FOIL rule.

Which of the following points does not satisfy the equation $y=\frac{x}{2}-1?$

If the ratio of three angles of a triangle is 2: 3: 4, find the angles.

Find the top view of the figure below.

Three cubes of dimensions $5cm\times 5cm\times 5cm$ are placed side by side. The length of resulting cuboid is:

Value of $x$, if line $p||q$

While watching TV Ted came across an advertisement by Flipkart, The "Big Billion Day SALE". Ted wanted to know what ‘sale’ is and his mum told him that we get discounts during sales.

Ted’s mum selected a T-shirt for him as his birthday present during the sale which costs Rs.1625 and has 40% discount. What is the final amount she had to pay for the T-shirt?