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$(2^7{)}^2\times (2^{-3}{)}^3$ = ___

Question 104

Solve the following question:

Find the square root of the following by long division method.

a) 27.04
b) 1.44

Raj was very late for the morning assembly. The principal asked him to run 0.616 km as a punishment. The shape of the ground is in the form of semi-circle mounted on the rectangle as shown below. How many times will Raj have to pass the starting point in order to complete the punishment?

Write the quotient and remainder when we divide.

$(15x^2+x-6)$ by $(3x+2)$

By just examining the units digits , can you tell which of the following cannot be whole squares ?
(i) 1026 (ii) 1028
(iii) 1024 (iv) 1022
(v) 1023 (vi) 1027

The height and radius of a cone is 6 cm and 3 cm respectively .The volume of cone is equal to___$\pi {cm}^3$.

Represent $\frac{-2}{11}$, $\frac{-11}{11}$ and $\frac{5}{11}$ on the number line. [2 MARKS]

Question 159(iii)

Find a single repeater machine that will do the same work as each hook-up.

If (a$\times$b) $\times$ c = a $\times$ (b $\times$c), where a,b and c are all whole numbers,then it follows which property?

There is a quadrilateral with 2 sides and 2 diagonals given. How many more pieces of data need to be provided to construct the quadrilateral ?

Find the height of the cylinder whose capacity is 1540 L and diameter of the base is 140 cm?

A,B and C are in partnership. A and C share profits in the ratio of 2:1, B was allowed to receive a salary of Rs. 3,500 per month and commission of 10% of profit after charging his commission of 1/2 of the profit of the firm whichever is more subject to the maximum share of profit i,e., Rs. 60,000. Any excess which he receive will be paid back to A and C in the ratio of 1 : 1. The profit of the firm after charging B's salary is Rs. 88,000. Distribute the profits by making Profit and Loss Appropriation Account. Show your workings clearly.

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$$\begin{array}{cc}ColumnA& ColumnB\\ 1.A\cup B& A.\{3,4,6,7\}\\ 2.A\cap B& B.\varnothing \\ 3.(B\cap C)\cup D& C.\{3,4\}\\ 4.B\cup C\cup D& D.\{3,4,5,6,7,8,9,10\}\\ 5.(A\cap B)\cap (B\cup C)& E.\{1,2,3,4,5,6,7\}\\ & F.\{6,7,8,9,10\}\\ & G.\{7\}\end{array}$$

What is the relation between commutativity and associativity?

The following is the Receipts and Payments Account of the Bombay Club for the year ending 31st Decemper, 2012.

RECEIPTS AND PAYMENTS CACCOUNT
for the year ending 31st December, 2012
Dr. Cr
$$\begin{array}{ccccc}\text{Receipts}& & \text{Amount}& \text{Payments}& \text{Amount}\\ & & \text{(Rs)}& & \text{(Rs)}\\ \text{To Balance b/d}& & \underset{–}{300}& \text{By Rent}& 5,200\\ \text{To Entrance Fees}& & 350& \text{By Stationery, Expenses etc.}& 3,068\\ \text{To Subscription :}& & & \text{By Wages}& 5,300\\ 2011& 200& & \text{By Billiards Table}& 3,900\\ 2012& 16,900& & \text{By Repairs and Renewals}& 806\\ 2013& 300& 17,400& \text{By Interest}& 1,500\\ \text{To Locker Rents}& & 500& \text{By Balance c/d}& 2,396\\ \text{Specilal Subscriptions for}& & & & \\ \text{Governor's Party}& & \underset{–}{3,450}& & \\ & & 22,200& & \overline{22,200}\end{array}$$

The percentage of 4 AH batteries sold to the total number of batteries sold was maximum in the year?

The ratio of edges of two cubes is 1:2, so the ratio of their surface areas is

In how many years will Rs 2000 amount to Rs 2662 at 10% p.a. compound interest?

How many bricks each of size $25cm\times 10cm\times 8cm$ will be required to build a wall $5m$ long, $3m$ high, and $16cm$ thick, assuming that the volume of sand and cement used in the construction is negligible?

1. 1

Factorise:
$x^3+2x^2+5x+10$

Each side of rectangle is doubled,find the ratio between the following:-

1) original perimeter and the resulting perimeter

2) original Area and the resulting area.

The value of the variable for which LHS and RHS of an equation are equal is called ___ of an equation.

1.6(4-y)-0.8(2y-3)=0

Draw a quadrilateral ABCD. Mark the mid-points E, F, G,H of the sides AB,BC,CD,DA respectively. Join EF,FG,GH and HE. Verify that the quadrilateral EFGH is a parallelogram.

Calculate the amount and compound interest on ₹10000 for 9 months at 4,℅ per annum compounded quarterly

Find the value of $a^3-b^3-3a^{2}b+3a{b}^2$ , when a = 5 and b = 3.

If 47.2506=4A+7/B+2C+5/D+6E then the product of A and D is?

______ is the reduction given on marked price by the shopkeeper.

How do we find the measure of EACH exterior angle and the measure of EACH interior angle of any polygon?

The equations of the tangents drawn from the origin to the circle $x^2+y^2-2rx-2hy+h^2=0$ are

‘-p’ and ‘q’ are the zeroes of the polynomial
$x^2–bx+c$.
The zeroes of the polynomial $x^2–bxy+c{y}^2$are

Amina thinks of a new number and subtracts 5/2 from IT .she multiply the result by 8 the result now obtained is three times the same number thought of what is the number

Find the amount and the compound interest on Rs 10,000 for $1\frac{1}{2}$ years at 10% per annum, compounded annually.

If $(a+b+c)$ is positive and $a^2+b^2+c^2=83$ and $ab+bc+ca=71$

then $a+b+c=$ ___

The parallel sides of a trapezium are 25 cm and 11 cm and the perpendicular distance between them is 13 cm. Find the area of the trapezium.

Find the difference between compound interest and simple interest on an amount of ₹ 20,000 for 2 years at 8 % per annum

The following pair of sets is:

A = {2, 3, 5, 7, 11}.

B = {prime numbers < 12}.

What does statistics as a subject mean?

One of the two digits of a two digit number is three times the other digit . If you interchange the digits of this two digit number and add the resulting number to the original number you get $88$.What is the original number ?

The least number by which 125 must be divided to make it a perfect square is

Find the value of (${10}^{-1}$ × $4^{-1}$) ÷ $2^{-2}$.

If the amount after Simple Interest on a sum of $\text{Rs.}10,000$ at $5\%$ per annum is $\text{Rs.}50,000$. Find the time for which the interest is computed.