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The length of a rectangle is 10 cm and breadth is 5 cm. If the breadth is decreased by 2 cm, the decrease in the area is equal to

When the circumference of a circle is divided by its diameter we get a constant value and it is called as ____

Simplify:

(2x + 1)² + (2x – 1)²

Simplify:

1. 6

The cube of an even natural number is

What is the additive inverse of (-9)?

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

If a + b + c = 11 and $a^2+b^2+c^2=81$, find ; $ab+bc+ca$.

For the above figure,

F + V - E = ___?

where,

F is the number of faces,

V is the number of vertices and

E is the number of edges.

In the equation $y=\frac{1}{x-1}+\frac{1}{x+1}$, find the value of y when x = -2

Square root of 256 is __.

Question 52

Find the value of the letters in the following question:

$1BA+ABA\_\_\_\_\_\_\_\_8B2$

In the given figure, find $a+b+c+d$.

''Ignore the zeros after the decimal point' Why??

If ${\left[{\left\{{\left(\frac{1}{7^2}\right)}^{-2}\right\}}^{-\frac{1}{3}}\right]}^{\frac{1}{4}}=7^m$ then find the value of m.

Find the area of the figure given below.

Find two rational numbers between $\frac{-2}{3}$ and $\frac{1}{4}$

A line is PQ of length 5 m is drawn. With P as a centre of circle of radius 6m is drawn and with Q as centre a circle of radius 13 m is drawn. Where do both the circles intersect?

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star

Which of the above are polyhedrons?

If a certain number when decreased by $21$ becomes $81$, what is the number?

Suppose P is a point with coordinates (−8, 3) with respect to a coordinate system X’OX ↔ Y′OY. Let be another system with X′OX || and suppose Q₁ has coordinates (9, 5) with respect to X′OX ↔ Y′OY. What are the coordinates of P in the system?

Solve the equation: $\frac{y-4}{3}+3y=4$

Sohan bought a second-hand refrigerator for ₹ 2500 and spent ₹ 1500 on its repair. He then sold it for ₹ 3300. What is the gain or loss percentage?

1. 8

If $a$ is the digit in unit place of the sum $1!+2!+\cdots +39!,b$ is the digit in unit place of $(16{)}^{256}$ and $c$ is the digit in unit place of $(3{)}^{400},$ then $a+b+c$ is equal to

Arrange $\sqrt[3]{327},\sqrt[3]{3343},4\sqrt{5},\sqrt{96}$ in ascending order.

Solve for $x$ in the following equation:

$\frac{x+5}{6}-\frac{x+1}{9}=\frac{x+3}{4}$

$3x^3{y}^2+2x^{2}y+15xyby3xy$

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______.

ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

The graph below shows the average height of girls at different ages. What will be the age of a girl whose height is 65 inches?

Question 6

In the given figure, which of the following is a regular polygon?

(a) (i)
(b) (ii)
(c) (iii)
(d) (iv)

The value of a machinery is Rs.10000, which is depreciating at the rate of 15% annually. The value of the machinery after 2 years in rupees will be ___.