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Three cubes, each with 4 cm edge, are joined end to end. Then, the total surface area of the resultant cuboid is ___.${\text{cm}}^2$

1. 7

The angle subtended by the diamete at the centre of a circle is

Steps of construction:

Step 1: Draw a line segment BC=5 cm

Step 2: Find the mid –point O of BC

Step 3 will be

A buys an article for Rs.8,000 and sold it to B at 20% profit. If the rate of tax under VAT is 8%, find : (i) tax paid by A (ii) tax charged by A (iii) VAT paid by A

If we start at (0,0) on a rectangular coordinate system and move left 7 and up 1 where are we?

Out of $8$ consonants and $3$ vowels, how many set of letters of $3$ consonants and $2$ vowels can be formed?

The following shows the marks obtained by students of a class in a math test (out of 10 marks).

Which of the below statement is/are correct as per the above tally marks table?

$\text{A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring}(22cm\times 12.5cm\times 7.5cm).If\frac{1}{12}\text{of the total volume of the wall consists of mortar, how many bricks are there in the wall ?}$

In the given figure,



$O$ is the centre of the circle and $X$, $Y$ and $Z$ are points on circumferemce of the circle such that $\angle XZY={23}^o$. Then $\angle XOY$ is

Which of the following is equivalent to $\sqrt{75}\times \sqrt{65}÷\sqrt{13}$

Two dice are rolled simultaneously . Find the probability of

A) getting a sum more than $10$

B) getting a sum more than $6$ and a multiple of $3$

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

Neha borrowed Rs 24000 from the State Bank of India to buy a scooter. If the rate of interest be $10\%$ per annum compounded annually. What payment will she have to make after 2 years 3 months ?

What is x if (2x+2) = (5x-1)?

A sum of Rs.9,600 is invested for three years at 10% per annum C.I.

A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle R={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

There are two numbers such that their difference is 3 and the difference of their squares is 69.

Find the sum of the numbers.

Question 105(ii)

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools :



How many teachers are having the maximum teaching experience and how many have the least teaching experience ?

If $x-y=2$ and $xy=3$, what is the value of the expression $(x^2+y^2{)}^2+4x^2{y}^2-4xy(x^2+y^2).$

Question 11

In the following question, out of the four options, only one is correct. Write the correct answer:

The multiplicative inverse of ${(-\frac{5}{9})}^{-99}$ is:

(a) ${(-\frac{5}{9})}^{99}$

(b) ${\left(\frac{5}{9}\right)}^{99}$

(c) ${(-\frac{9}{-5})}^{99}$

(d) ${(-\frac{9}{5})}^{99}$

Question 40

In the following question, fill in the blanks to make the statements true.

Very small number can be expressed in standard from by using ___ exponents.

x(x + 1)(x + 2)(x + 3) ÷ x(x + 1) = ______

If $\frac{4}{5}÷\frac{-2}{3}$ follows closure property of division then the resultant number ____ is a Rational number.

If three angles a quadrilateral are ${100}^{\circ }$,${90}^{\circ }$ and ${60}^{\circ }$, then the fourth angle will be ________.

Which of the following could be the cube of 37?

0.8$\%$ when expressed as a decimal, is (a) 0.08 (b) 0.008 (c) 8 (d) 0.8

If dc's of two intersecting lines $(l,m,n)$ are connected by relations $l+m+n=0,lm=0,$ then angle between the lines is:

(where $n<0$)

What is the value 9.4 - 2.6?

Question 92 (xi)

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$y^3-\frac{y}{9}$