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Vidhi has account in Bank of India. The entries in the pass book of a Savings Bank Account are as follows:

If the rate of interest is 5% per annum, and it is paid at the end of March, find the interest earned by the account holder at the end of March 2002 on the above account.

The following are products obtained from _______.

The triangle ABC has a line AP and the Perpendicular AO.

If Ratio of BO and OC is 10 : 7 and Area of Triangle AOC = $42c{m}^2$ , Find the Area of full triangle ABC

What will be the volume of the following figure?

From the salary of an officer, 10% is deducted as house rent, 15% the rest he spends on children’s education and 10% of the balance, he spends on clothes. After this expenditure he is left with Rs 1377. His salary is:

An open tank is $3m$ long and $2m$ wide and $1m50cm$ deep. Find the amount of paint required to paint its inside and outside, if $1kg$ of paint covers $20$ square metre.

Solve each of the following equations and also verify your solution :

$x-2x+2-\frac{16}{3}x+5=3-\frac{7}{2}x$

Question 9 (ii)

How many numbers lie between squares of the following numbers?

25 and 26

If we start at (0, 0) on a rectangular coordinate system, and move 3 units left and 6 units up, where are we?

What would be the value of $x$ for the equation $2^x=\sqrt{2}$ ?

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last ?

4 toy-makers can make 4 toys in 4 days. At the same rate, how many toys would be made by 8 toy-makers in 8 days? [ 3 MARKS ]

The product of two numbers is $-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4$. If one number is $7m^2{n}^2$, then find the other number.

For $a,b\ne 0,$ select the correct statement(s).

In the given figure OABC is a rhombus, three of whose vertices lie on a circle with center O.

If the area of the rhombus is $50\sqrt{3}c{m}^2$, then the area of the circle

is _____ sq cm. (Take $\pi =3.14$)

Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm.

A rope of length 71 1\2 m is cut into 26 pieces. What is the length of each piece

The Receipts and Payments Account for the year ending 31st December, 2010 of the Pandit Nehru Club is as follows:

Dr Cr.
$\begin{array}{ccccc}\text{Receipts}& & \text{Amount}& \text{Payments}& \text{Amount}\\ & & \text{(Rs)}& & \text{(Rs)}\\ \text{To Opening Cash Balance}& & 50,000& \text{By Salaries}& 20,000\\ \text{To Membership Subscription :}& & & \text{By Rent}& 15,000\\ 2009& 10,000& & \text{By Printing and Stationery}& 8,000\\ 2010& 1,00,000& & \text{Water and Power}& 15,000\\ 2011& \underset{–}{5,000}& 1,15,000& \text{By Newspapers and Periodicals}& 18,000\\ \text{To Income from Entertainment}& & 2,000& \text{By Furniture}& 50,000\\ \text{To Interest}& & 1,500& \text{By Repairs to Furniture}& 2,000\\ & & & \text{Refreshments}& 10,000\\ & & & \text{By Closing Cash Balance}& 30,500\\ & & \overline{1,68,500}& & \overline{1,68,500}\end{array}$

(a) The number of members of the club was Rs 500 and the membership subscription was Rs 20 per month.

(b) The rent of the club house was Rs 1,500 per month.

(c) At the end of the year, prepaid salary was Rs 2,000.

(d) In 2009, Rs 50,000 were deposited in Fixed Deposit Account for three years in a bank, carrying 6% interest p.a.

(e) The other assets on 1st January, 2010 were as follows : Furniture Rs 80,000 and Sports Equipment Rs 40,000.

(f) Depreciation is to be provided 10% p.a. on furniture and sports equipment.

Prepare Income and Expenditure Account for the year ending 31st December, 2010 and Balance Sheet as on that date.

A two digit number becomes five sixth of itself when its digits are reversed the two digit differ by 1 find the number

Solve:

Question 5 (ii)

A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:
The cost of planting grass in the remaining portion of the garden at the rate of ₹ 40 per $m^2$

If the triangle is equilateral and the diameter of the circle is $4\sqrt{3}$ cm, find the area of the yellow region in $c{m}^2$.

The count of a particular element occuring in a dataset is called its:

What is the width of the class interval 50-90?

Question 136

Evaluate: $\{5^2+({12}^2{)}^{\frac{1}{2}}{\}}^3$

The value of π up to 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
Then,

$\text{statement 1: The most frequently occurring}\text{digits are 3 and 9}$

$\text{statement 2: The least frequently occurring digit is 1}$