900 boys and 600 girls appeared in an examination of which 70% of the boys and 85%of the girls passed out in the examination. Find the total percentage of students who did not pass.

When a number is decreased by 25% it becomes 120. Find the number.

In a leadership election between two persons A and B, A wins by a margin of 192 votes. If A gets 58% of the total votes, find the total votes polled.

If the population in a town has increased from 20000 to 25000 in a year, fi nd the percentage increase in population.

Find the C.I for the data given below:
(i) Principal = Rs. 4000, r = 5% p.a, n = 2 years, interest compounded annually.
(ii) Principal = Rs. 5000, r = 4% p.a, n = 1 \(\frac { 1 }{ 2 } \) years, interest compounded half-yearly.
(ii) Principal = Rs. 30000, r = 7% for I year, r = 8% for II year, compounded annually.
(iv) Principal = Rs. 10000, r = 8% p.a, n = 2 \(\frac { 3 }{ 4 } \) years, interest compounded yearly.

The value of a motor cycle 2 years ago was Rs.70000. It depreciates at the rate of 4% p.a. Find its present value.

Find the difference in C.I and S.I for
(i) P = Rs.5000, r = 4% p.a, n = 2 years.
(ii) P = Rs.8000, r = 5% p.a, n = 3 years.

The sum of 4 times a number and 18 is 28.

Solve the equation: 3x = 51

Solve \(\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y\)

Graph the equation y = x + 1.
Begin by choosing a couple of values for x and y. It will firstly help to see
(i) what happens to y when x is zero and
(ii) what happens to x when y is zero.
After this we can go on to find one or two more values.
Let us find at least two more ordered pairs. For easy graphing, let us avoid fractional answers. We shall make suitable guesses.

Relation between Principal and Simple Interest:
A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
(i) The annual interest obtainable for investment of Rs.450;
(ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.

In the figure, AB ⊥ AC
a) What type of Δ is ABC?
b) What are AB and AC of the Δ ABC?
c) What is CB called as?
d) If AC = AB then, what is the measure of ㄥB and ㄥC?

A 20- feet ladder leans against a wall at height of 16 feet from the ground. How far is the base of the ladder from the wall?

A junction where two roads intersect at right angles is as shown in the figure. Find AC if AB = 8 m and BC = 15 m.

Δ ABC is equilateral and CD of the right triangle BCD is 8 cm. Find the side of the equilateral Δ ABC and also BD.

Construct a parallelogram DUCK with DC = 8 cm, UK = 6 cm and ㄥDOU = 110⁰. Also find its area.

Given that one pair of new born rabbits they produce a new pair each month and from the second month, each new pair can breed themselves. Find how many pairs of rabbits are bred from one pair in a year, and find the relationship between the number of months and the number of pairs of rabbits by tabulation (a pair means (a male and a female)).

Use Ceasar Cipher table set + 4 and to try to solve the given secret sentence.
fvieo mr gshiw ger fi xvmgoc