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A square is a

The number of cups of coffee drank by 20 people on a particular day in the XYZ organisation is given below:

2, 5, 3, 5, 4, 5, 3, 6, 5, 3, 5, 4, 6, 4, 5, 6, 4, 4, 6, 5.

The ungrouped frequency table for the above data is

If the ratio of capacities of 3 water tanks is 3: 5: 7 and the largest of them can hold 3500 litres of water then what is the total volume of water that can be held by all the three?

The price of a washing machine, inclusive of sales tax is Rs.13,530. If the sales tax is 10%, find its basic price.

Given figure EFGH is a rhombus. Choose the statement which is not correct.

Find the volume of a cuboid of length 20 cm, breadth 15 cm and height 10 cm. ___

Construct a quadrilateral ABCD given AB = 5.1 cm, AD = 4 cm, BC = 2.5 cm, $\angle A={60}^{\circ }$ and $\angle B={85}^{\circ }$ [2 MARKS]

Find the value of angles 2,3,4 if the value of angle 1 is 45. [4 MARKS]

Two Quantities are in the ratio 3 : 7. If the smaller one is made 4 times it's size and the larger one is doubled , what would be the new ratio?

Write correct sequence of the following steps to draw perpendicular bisector of a line AB.

a. Join XY to cut AB at O. XY is called the perpendicular bisector of AB.

b. To construct the perpendicular bisector of the line segment AB, we first take A and

then B as centre and radius greater than half of AB.

c. Draw arcs above and below AB such that the arcs cut each other at X and Y.

Question 2
For each of the given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

$\frac{x}{4}=5+\frac{x}{3}$, value of `x`

The cost price of an article is 90% of its selling price. What is the profit or the loss as percent ?

Calculate the amount and the compound interest on Rs. 12000 in 2 years and at 10% per year.

Rohit borrowed Rs. 24000 at 7.5 percent per year. How much money will he pay at the end of 4th years to clear his debt?

The marked price of a dinning table is Rs. 23,600 and is available at a discount of 8%. Find its selling price.

Question 75 (a)

Find the value of $2^5$

If I construct a quadrilateral by putting triangles together, the minimum number of triangle(s) I would need is/are ___.

A man who is running has half the kinetic energy of the boy of half his mass. The man speeds up by $1m/s$ and then has the same kinetic energy as the boy. The original speed of the man was

Question 84 (ix)

Simplify

$(a-b)(a^2+b^2+ab)-(a+b)(a^2+b^2-ab)$

Find the greatest common factor of the terms in each of the following expressions:

$2xyz+3x^{2}y+4y^2$

The sides of a rectangle are in the ratio of 6:5 and its area is 750 sq.m. Find the perimeter of rectangle (in m).

Which of the following is false regarding the given figure?

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4,347. Find the period for which the interest is calculated (in years).

If $\frac{2}{9}$ of a property costs Rs. 2,52,000; find the cost of $\frac{4}{7}$ of it.

A cuboid has length, breadth and height of 6cm, 4 cm and 2 cm respectively. The total surface area of cuboid is:

If two figures are identical in shape as well as size, then they are said to be ___.

($a^2$ + $b^2$) $\times$ (${-a}^2$ + $b^2$) = ?

Factorise:

$y^2-6y-135$

In the figure, BDEF and DCEF are each a parallelogram, It is true that BD = DC?
Why or Why not?

The water in a cubical tank (whose dimensions are 10 m) is transferred to completely fill a cuboidal tank of length 5m, breadth 10 m, and height h. Then, the height of the cuboidal tank (in metres) is ___

In a sale, the price of a dress was reduced by 30%. If Lucky paid ₹38.50 for the dress, what was its original price?

The compound interest on Rs. 1800 at $10\%$ per annum for a certain period of time is Rs. 378. Find the time in years.

Subtract

$-3p^2+3pq+3px$ from $3p(-p-a-r)$

Question 67

State whether the following statement is true or false:

For an integer a, $a^3$ is always greater than $a^2$.

45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below.

Find the remainder when 981547 is divided by 5. Do this without doing actual division.

Find the value of x in the equation 0.25(3x - 1) = 0.05(8x - 6)