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If ABB ×999=ABC123(where A, B, C are digits) find the values of A, B, C

From the following extracts of the Receipts and Payments Account and the additional information, you are required to compute the income from subscription for the year ending on December 31, 2012 and show the subscription items in the income and Expenditure Account and the Balance Sheet as on 31-12-2012

AN EXTRACT OF RECEIPTS AND PAYMENTS ACCOUNT

for the year ending on 31st December, 2012

$\begin{array}{cccc}\text{Receipts}& \text{Amount}& \text{Payments}& \text{Amount}\\ & \left(\text{Rs}\right)& & \left(\text{Rs}\right)\\ \text{To Subscriptions :}& & & \\ 2011& 9,000& & \\ 2012& 1,34,400& & \\ 2013& 5,200& & \end{array}$

Information : Subscription outstanding as on 31-12-2011 Rs 9,200. Subscription received in advance as on 31-12-2011 Rs 2,800 (including Rs 800 for 2012). There are 1,440 members each playing an annual subscription of Rs 100.

Question 54

The sum of areas of two squares with sides 4a and 4b is ___

Study the layout given in the figure and answer the question.

Write an expression for the total area covered by both the bedrooms and the kitchen?

Question 101

Find the value of $x^{-3},ifx=(100{)}^{1-4}÷(100{)}^0.$

Find the compound interest on ₹ 10,000 in one year at 4$\%$ per annum, the interest being compounded quarterly.

If the length of a rectangle is "l” and width is "b”, then the perimeter of the rectangle will be:

Solve for $x$:
$\frac{x-2}{3}=\frac{2x}{7}$

Sum of all the interior angles of a polygon is _____________ .

Find the value of unknown $x$ in the following diagram.

Where will the parallel rays meet?​

During his initial days of stay in Earth 2, Bill had got his accommodation with “1/5” and “1/2” in “House of Rational Numbers, Q”. Having located these occupants, he wanted to locate other occupants satisfying the following conditions:

1. They lie between 1/5 and 1/2.

2. They have a denominator 10.

Which of the following occupants satisfy these properties?

If $x+y=5$ and $xy=6$ If $x>y$ then $x-y$ is equal to

Vignesh has two angles, $\angle$A and $\angle$B. He arranged these angles on a paper such that they are complementary. Which of the following arrangements did he make?

The product of three rational numbers is10. The first number is 2 and the second number is such that numerator is twice of first number and denominator is thrice of additive inverse of first number. Find the third number?

Find the compound interest on Rs. 10,000 in 2 years at 4$\%$ per annum , the interest being compounded half yearly.

The value of g at a place decreases by 2%. The barometric height of mercury:

8 women or 6 men can finish a piece of construction work in 12 days. 4 women and 9 men will finish the same work in ___days.

Find A, B and C [3 MARKS]

$\begin{array}{c}4A\\ +98\\ CB3\end{array}$

Let U be the universal set and $A\cup B\cup C=U$. Then $(A-B)\cup (B-C)\cup (C-A)$ = ____

What is the difference between total surface area and lateral surface area of a cube whose edge length is 1 cm?

S, T and V shared profit in the ratio of 3:2:1. On December 31, 2016 their Balance Sheet was as follows:

$\begin{array}{cccc}\text{Liabilities}& \text{Amount}& \text{Assets}& \text{Amount}\\ & \text{(Rs)}& & \text{(Rs)}\\ \text{Capitals:}& & \text{Plant}& 90,000\\ \text{S}1,00,000& & \text{Debtors}& 60,000\\ \text{T}1,00,000& & \text{Furniture}& 32,000\\ \text{V}\underset{–}{70,000}& 2,70,000& \text{Stock}& 60,000\\ \text{Creditors}& 80,000& \text{Investments}& 70,000\\ \text{Bills Payable}& 30,000& \text{Bills Receivable}& 36,000\\ & & \text{Cash in Hand}& 32,000\\ & 3,80,000& & 3,80,000\end{array}$

On this date firm was dissolved. S was appointed to realise the assets. S was to receive 6% of the amount realised on sale of assets. He was also to bear the expenses. S realised the assets as follows:

Plant Rs 72,000; Debtors Rs 54,000; Furniture Rs 18,000; Stock 90% of the book value, Investments Rs 76,000 and Bills Receivable Rs 31,000. Expenses of Realisation amounted to Rs 4,500.

Prepare Realisation Account.

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of $14\%$ p.a. and $11\%$ p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? [4 MARKS]

Generalised form of a three-digit number abc is

The value of ‘x’, when $3^x=\frac{\sqrt{3}}{9}$ is:

The square of 35 is ? + 25.

The question mark in the above statement can be replaced by which of the following numbers?

If the square of 30 is 900 then the square of 300 is:

Estimated value of the square root of 120 to the nearest whole number is:

What is the basic shape of the tessellation used in the following figure?

Simplify
$\sqrt{\sqrt{81}}$ =

In a test of x questions , y(<x) answers are correct. Assuming all questions were answered, the number of incorrect answers are

Number of zeros in the square of 4000 is :

If the volume of a one metre iron rod is 1386 cu. cm, then its diameter is ______ .

8 pumps can fill a tank in 20 mins. How much time will it take to fill the tank if only 5 of them are engaged?

Which among the following angles cannot be constructed just by using a ruler and a compass?

Calculate the perimeter of a circle (of radius 'r') and a square (of side 'a').

$\text{Which of the following are the factors of}$
$23x+46x^{2}y?$

Find the value of x if $2^x=32$.

Statement 1: In the figure areas of both parallelogram ABCD and the triangle ABE are equal.

Statement 2: Both the triangle and parallelogram have same base and height.

Pick the correct option