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Figure depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the distance around the track around the inner edge.

Choose the correct answer from the given alternative:

In an equilateral triangle, each exterior angle is ____________.

A. 60°

B. 90°

C. 120°

D. 150°

Find the product of $5m^{2}n,-3mnp$ and $-5n^{2}p$.

1. 30

Question 60

The central angle of a sector in a pie chart cannot be more than ${180}^{\circ }$.

Question 95

A cuboidal tin box opened at the top has dimensions $20cm\times 16cm\times 14cm$. What is the total area of metal sheet required to make 10 such boxes?

Solve for $x$:
$2x+5=3(x+2)$

1. 5

Which of the following function satisfies the given mapping diagram?

Volume of cylinder with radius 5cm and height 14cm is __

Divakaran deposited a sum of Rs 6250 in the Allahabad Bank for 1 year, compounded half-yearly at $8\%$ per annum. Find the compound interest he gets.

Choose the correct number line that shows what comes after 65.

How many distinct four digit numbers can be formed from the digits $4,5,6,7,8,9$?

A can do a piece of work in 40 days. He works at it for 8 days and then B fineshes the remaining work in 16 days. How long will they take to complete the work if they do it together.

Probability of getting a head when a coin is tossed is ___.

Question 2

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:

$(p,q);(10m,5n);(20x^2,5y^2);(4x,3x^2);(3mn,4np)$

Find the amount and interest on ₹ 1000 for 2 years at 8 % p.a compounded annually

Question 84 (c)

Simplify and express each of the following in exponential form.
$(3^7÷3^5{)}^4$

Base of an isoscles triangle is 5/8 cm .Perimeter of the triangle is 3 5/12 cm. Find the Length of equal sides

Question 42

Fill in the blanks to make the statements true.

$(1.2{)}^3=$ ___

Convert $\frac{27}{4}$ into a mixed fraction.

Question 2 (iv)

Without doing any calculation, find the numbers which are surely not perfect squares:

441

Question 3 (ii)

Find the square root of the following decimal numbers:

7.29

Question 4(iii)

Simplify:

$(7m-8n{)}^2+(7m+8n{)}^2$

1 micron equals to :

a) 1/10000 m. b) 10⁶ dm.

c) 10^-6 m. d) 10^-4cm.

Arithmetic mean of 5 numbers in a series is 16. If 2 numbers (mean numbers) are removed from this series and replaced with 20 and 24, what will be the new mean?

Which of the following is/are the point(s) of inflection for $f\left(x\right)=x^2\cdot e^{-x}?$

In how many ways can a student choose 6 courses out of 10 courses?

Factorize the following:

$2x^3{y}^2-4x^2{y}^3+8x{y}^4$

For a square KLMN, which of the following statements is not correct?

A dealer wanted to buy 30 tables and 50 chairs by spending $\$1,500.$ If cost of each chair is equal to cost of each table, find the cost of each chair. Evaluate using the graphical method.

$5x\times (-4yz)\times 3xz$ = _____________________

Suppose ABC is an isosceles triangle with AB = AC; BD and CE are bisectors of ∠B and ∠C. Prove that BD = CE.