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Which of the following points lies on the x-axis ?

The number of students joining a class prior to 20 minutes is 729. If the number of students joining the class triples every 10 minutes, what is the cube root of the number of students joining after 40 minutes from now?

Let pqr be a three digit number. Then, pqr + qrp + rpq is not divisible by:

The price of 7 pens is Rs. 42; find the price of 13 such pens.

Evaluate $\sqrt{0.9}$ correct up to two places of decimal.

A certain sum of money ,invested for 4 years at 8 % p.a. simple interest ,earns an interest of ₹ 10,000. Find

(a) the sum of money

(b) the compound interest earned by this money in two years at 12 % p.a. compound interest

Evaluate :

(i) (a+ 1)(a-1)(a^2 + 1)

(ii) (a + b)(a-b)(a^2 + b^2)

(iii) (2a-b)(2a +b)(4a^2 + b^2)

(iv) (3 - 2x)(3 + 2x)(9 + 4x^2)

(v) (3x - 4y)(3x + 4y)( 9x^2 + 16y^2)

Express 2pq + 4p + 5q + 10 in the factor form.

Question 64

State whether the following statement is true or false:

A perfect square can have 8 as its unit's digit.

Factorise:

$9a^2+\frac{1}{9a^2}-2-12a+\frac{4}{3a}$

By using the formula, find the amount and compound interest on:

The difference between the compound interest and the simple interest on a certain sum for 2 years at $6\%$ per annum is Rs 90. Find the sum.

If the area of an equilateral triangle is $16\sqrt{3}c{m}^2$, then the perimeter of the triangle is

The number 12,000 is first decreased by 25% and then increased by 25%. Find the resulting number.

Construct a quadrilateral ABCD in which AB=7.7 cm, BC=6.8 cm, CD=5.1 cm,AD=3.6 cm and $\angle C={120}^{\circ }$

Write a Pythagorean triplet whose smallest number is
(i) 6 (ii) 14 (iii) 16 (iv) 20

Find the compound interest on Rs. 8000 for 9 months at $20\%$ per annum compounded quarterly.

What least number should be subtracted from 893304 to get a perfect square? Find the square root of this perfect square?

Which of the following alphabets has at least one line of symmetry?

Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer and Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

In the given figure, if AB = CD and BC = DA, then which of the following is true?

The square of a number of the form 5 + a is equal to

The perimeter of an equilateral triangle with side 5 cm is:

Factorise Completely : $3x^2+15x-72$

Two taps $A$ and $B$ can fill an overhead tank in $10$ hours and $15$ hours respectively. Both the taps are opened for $4$ hours and then $B$ is turned off. How much time will $A$ take to fill the remaining tank?

Question 1(v)
Multiply the binomials:
$(2pq+3q^2)and(3pq-2q^2)$

The sum of all the numerical coefficients including constant, for a given algebraic expression 17x²y - 12xy³ + 31x³ - 37 is

103 × 97 =

The figure shows a regular pentagon, a regular hexagon and an equilateral triangle put together. The measure of $\angle PQR$ is

The authorised capital of Suhani Ltd. is Rs 45,00,000 divided into 30,000 shares of Rs 150 each. Out of these, the company issued 15,000 shares of Rs 150 each at a premium of Rs 10 per share. The amount was payable as follows Rs 50 per share on application, Rs 40 per share on allotment (including premium) Rs 30 per share on first call and balance on final call. Public applied for 14,000 shares. All the money was duly received.

Prepare an extract of Balance Sheet of Suhani Ltd. as per Schedule II of the Companies Act, 2013 disclosing the above information. Also prepare Notes to Accounts for the same.

Find a rational number between 2 and 3.

Will the value of $2x^2+12x+3$ for x = - 4 be greater than or less than 15? Explain. [3 MARKS]

Give two rational number lying between 0.232332333233332 and 0.212112111211112.

I buy apples, grapes and bananas for 2 days. I want to compare their prices using a graph. What type of graph should I use?

Question 92 (ii)

Radius of a cylinder is r and the height is h. Find the change in the volume if the height is doubled and the radius is halved.

When the pressure of a gas is increased, while maintaining a constant temperature, the volume of the gas decreases. What is the relation between pressure and volume of the gas?

Let a₁ not equal to a₂ not equal to 0. f(x) = a₁x²+b₁x+c₁ and g(x) = a₂x²+b₂x+c₂. If p(x) = f(x) - g(x). If p(x) =0 for x= - 1 only and p(-2)=2 then what is the value of p(2)?

Find compound interest on $Rs.8000$ at $15\%$ per annum for $2$ years $4$ months, compounded annually.

Which of the following combination of sides of a triangle represents a right angled triangle?

Thw teo adjacent sides of a rectangle are $2x^2-5xy+3z^2$ and $4xy-x^2-z^2$.Find its perimeter.

Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

The multiplicative inverse of 4-3i is

A pyramid is a solid figure, the base of which is.