Explore topic-wise InterviewSolutions in .

The quadrilateral formed by the vertices (-1,1), (0,-3), (5,2) and (4,6) will be

Using distributive property of multiplication then simplify 3/5(10/11-40).

Match the values with the corresponding laws of exponents.

Factorize 15x + 3y + xy + 45 and give its value for x = 2 and y = 3.
[3 MARKS]

A box contains balls of 3 different colors. The ratio of white to red is 3 : 5 and that of black to red is 3 : 2.

Find the ratio Black : Red : White

Which among the following is not a factor of $4y(y+3)$?

Factorise the expressions and divide them as directed.

(i) (y² + 7y + 10) ÷ (y + 5)

(ii) (m² − 14m − 32) ÷ (m + 2)

(iii) (5p² − 25p + 20) ÷ (p − 1)

(iv) 4yz(z² + 6z − 16) ÷ 2y(z + 8)

(v) 5pq(p² − q²) ÷ 2p(p + q)

(vi) 12xy(9x² − 16y²) ÷ 4xy(3x + 4y)

(vii) 39y³(50y²− 98) ÷ 26y²(5y+ 7)

Factors of $27x^3+y^3+z^3-9xyz$ are:

Question 4 (a)

Using divisibility test, determine whether the given number is divisible by 11:
5445

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ABC=${60}^{\circ }$. Can you draw the quadrilateral?

$\text{Factorise}x{y}^2-x{z}^2,\text{Hence, find the value of :}\left(i\right)9\times 8^2-9\times 2^2\left(ii\right)40\times {5.5}^2-40\times {4.5}^2$

ABCD is a parallelogram. DK is perpendicular to BA produced at K and DM is perpendicular to BC produced at M. Find the measure of $\angle KDM.$

Construct a triangle MNP in which MN = 4.5 cm, MP = 5.2 cm and length of perpendicular from M on NP is 3.8 cm.

With A and B as centres and any radius greater than half of AB, draw arcs on either side of AB so that they meet in X and Y as shown. Join XY

These are the two statements:
Statement 1: AB is the perpendicular bisector of XY
Statement 2: XY is the perpendicular bisector of AB
Choose the correct option from below.

Use the formula and find the product:

In a college, there are 10 periods per day each of 40 minutes. Students were shouting to reduce the number of periods but the principal does not want to reduce the working hours. How will you help the principal to reduce the number of periods to 8 without changing the total working hours?

Evaluate: $\left(i\right)69\times 71$, (ii) $94\times 106$.

The ratio of the number of men and women who attended a meeting is 3 : 5. After some time, half the men and one-third the women left. What is the ratio of men to women now?

Three numbers are to one another 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.

Daniel is painting the walls and ceiling of a cuboidal hall with
length, breadth and height of 15 m, 10 m and 7 m respectively. From
each can of paint 100 m² of area is painted. How many cans
of paint will she need to paint the room?

Observe the dot pattern arranged in triangles. How many dots will be there in the next triangle?

Question 65

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

The denominator of a fraction is 1 more than its numerator.

Question 2(ii)

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:

256

A cuboidal wooden block contains 36 $c{m}^3$ wood . If it be 4 cm long and 3 cm wide, find its height.

An article marked Rs 800 is sold for Rs 704. Find the discount and discount percent.

Perimeter of an equilateral triangle whose side is 7.5 cm.