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Which of the following options would be equal to $4x+16y$?

The age of 15 students in a class is given below:

10, 11, 12, 10, 10, 12, 13, 13, 11, 10, 12, 11, 12, 13, 10

Find the frequency of age 13.

If a = 3x − 5y, b = 6x + 3y and c = 2y − 4x, find

(i) a + b − c; (ii) 2a − 3b + 4c.

Find the square of 42.

Question 1 (iv)

What could be the possible ‘one’s’ digit of the square root of following number:

657666025

Ahmed repaid an amount of Rs. 9125 to the bank which includes an interest of Rs 625. What was the money that he borrowed from the bank ?

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

Question 32

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ___ its original area.

The LCM and HCF of three numbers are 515 and 5 respectively. If the two numbers are 25 and 105, then find the third number?

By what number should $(-15{)}^{-1}$ multiplied so that the product may equal to $(-5{)}^{-1}?$

Question 157

Ajay had a 1 cm piece of gum. He put it through repeater machine given below and it came out $\frac{1}{100000}cm$ long. What is the missing value ?

The factors of $(4x^3+12x^2+6x+18)$ is/are:

Find the following squares by using identities:
$(xy+3z{)}^2$

Question 17

Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is ${60}^{\circ }$. The amount he spends on food and house rent, is:

(a) Rs. 5000

(b) Rs. 2500

(c) Rs. 6000

(d) Rs. 9000

Two triangles ABC and DBC have common base BC. Suppose AB = DC and ∠ABC = ∠BCD. Prove that AC = BD.

Expansion of $-8(3a+5b)$ yields

Question 4

Write the correct answer from the given four options.

Which of the following will have 4 at the unit's place?

a) ${14}^2$
b) ${62}^2$
c) ${27}^2$
d) ${35}^2$

The volume of a cube is $4096{\text{m}}^3$. Find the length of the side of the cube.

Which of the following are factors of $(x^{2}y-x{y}^2{)}^2$?​​​​

Simplify: $x^2{y}^2{x}^5{y}^3$

Can’t you draw, trapeziums with the measurements given below?

(i) Parallel sides of length 7.5 centimetres and 5 centimetres; other two sides of length 6 centimetres and 5.5 centimetres.

(ii) Parallel sides of length 8 centimetres and 5.5 centimetres; angles on the longer side, 55° and 70°.

Ram sold a flower vase at 10% loss. The cost price of the vase was ₹ 120. Find the selling price of the flower vase.

Find the measure of each interior angle of a regular polygon having (i) 10 sides (ii) 15 sides

A coin is tossed 8 times, What is the probability of getting tails exactly 6 times?

Pavan tried to draw a line parallel to a given line, 'l'. Few steps are shown below. What will be the next step?

Step 1: Mark a point A, not on the line 'l'.

Step 2: Mark point B on line 'l'.

Step 3: Draw line segment joining points A and B.

Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.

Question 3(iv)

Identify the operations used (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed:

7m, - 7m +3, - 7m - 3

Find the number of sides in a regular polygon, if its each interior angle is :

(i) ${160}^o$

(ii) ${135}^o$

(iii) $1\frac{1}{5}$ of a right-angle.

The value of $y$ in $14y-8=13$ is

In the figure given $\Delta ABC$ is a right triangle $\angle A={90}^0$ and $CD$ is the median then $B{C}^2-C{D}^2=$

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

On dividing 24x$y^2$$z^2$by 6y$z^2$, we get