CBSE X Questions
Find the ratio in which P(4, m) divides the line segment
Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.
Read more …Two different dice are tossed together. Find the probability of getting a doublet
Two different dice are tossed together. Find the probability:
- of getting a doublet
- of getting a sum 10, of the numbers on the two dice
An integer is chosen at random between 1 and 100
An integer is chosen at random between 1 and 100. Find the probability that it is:
- divisible by 8
- not divisible by 8
Find all zeroes of the polynomial (2x^4 – 9x^3 + 5x^2 + 3^x – 1)
Find all zeroes of the polynomial (2x4 – 9x3 + 5x2 + 3x – 1) if two of its zeroes are (2 + √3) and (2 – √3).
Read more …If A(–5, 7), B(–4, –5), C(–1, –6) and D(4, 5) are the vertices of a quadrilateral
If A(–5, 7), B(–4, –5), C(–1, –6) and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
Read more …If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD
If A(–2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides.
Read more …A plane left 30 minutes late than its scheduled time
A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase its speed by 100 km/h from the usual speed. Find its usual speed.
Read more …Prove that the area of an equilateral triangle described on one side of the square
Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle described on one of its diagonal.
Read more …Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region.
If the area of two similar triangles are equal, prove that they are congruent
If the area of two similar triangles are equal, prove that they are congruent.
Read more …If tan 2A = cot (A - 18°), where 2A is an acute angle
If tan 2A = cot (A - 18°), where 2A is an acute angle, find the value of A.
Read more …Find the area of the shaded region, where arcs drawn with centres A, B, C and D intersect
Find the area of the shaded region in Figure, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points P, Q, R and S of the sides AB, BC, CD and DA respectively of a square ABCD of side 12 cm. [Use π = 3.14]
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm. Find the total surface area of the article.
A heap of rice is in the form of a cone of base diameter 24 m
A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?
Read more …The table below shows the salaries of 280 persons
The table below shows the salaries of 280 persons:
| Salary (In thousand Rs.) | No. of persons |
| 5-10 | 49 |
| 10-15 | 133 |
| 15-20 | 63 |
| 20-25 | 15 |
| 25-30 | 6 |
| 30-35 | 7 |
| 35-40 | 4 |
| 40-45 | 2 |
| 45-50 | 1 |
Calculate the median salary of the data.
Read more …A train travels at a certain average speed for a distance of 63 km
A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete total journey, what is the original average speed?
Read more …A motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream
A motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Read more …The sum of four consecutive numbers in an AP is 32 and the ratio of the product
The sum of four consecutive numbers in an AP is 32 and the ratio of the product of the first and the last term to the product of two middle terms is 7 : 15. Find the numbers.
Read more …
The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone
The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24 cm, find:
- The area of the metal sheet used to make the bucket.
- Why we should avoid the bucket made by ordinary plastic? [Use π = 3.14]
As observed from the top of a 100 m high light house from the sea-level, the angles of depression of two ships
As observed from the top of a 100 m high light house from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. [Use √3 = 1.732]
Read more …The mean of the following distribution is 18. Find the frequency f of the class 19 - 21
The mean of the following distribution is 18. Find the frequency f of the class 19 - 21.
| Class | 11-13 | 13-15 | 15-17 | 17-19 | 19-21 | 21-23 | 23-25 |
| Frequency | 3 | 6 | 9 | 13 | f | 5 | 4 |
The following distribution gives the daily income of 50 workers of a factory
The following distribution gives the daily income of 50 workers of a factory.
| Daily income (in Rs.) | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
| Number of workers | 12 | 14 | 8 | 6 | 10 |
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.
Read more …Everybody wants to succeed in life
Everybody wants to succeed in life. For some, success means achieving whatever they desire or dream. For many it is the name, fame and social position. Whatever be the meaning of success, it is success which makes a man popular.
All great men have been successful. They are remembered for their great achievements. But it is certain that success comes to those who are sincere, hardworking, loyal and committed to their goals.
Read more …Globalization is the way to open businesses, improve technological growth, economy
Globalization
Globalization is the way to open businesses, improve technological growth, economy, etc, at the international level for all countries. It is the way in which manufacturers and producers of the products or goods sell their products globally without any restriction. It provides huge profits to the businessmen as they get low cost labour in poor countries easily. It provides a big opportunity to the companies to deal with the worldwide market.
Globalization helps to consider the whole world as a single market. Traders are extending their areas of business by treating the world as a global village. Earlier till the 1990s, there was a restriction on importing certain products which were already manufactured in India like agricultural products, engineering goods, food items and toiletries. However, during the 1990s there was a pressure from the rich countries on the poor and developing countries to allow them to spread their businesses by opening their markets. In India the globalization and liberalization process was started in 1991.
Read more …What is a dam? Why do we seek to build large dams
What is a dam? Why do we seek to build large dams? While building large dams, which three main problems should particularly be addressed to maintain peace among local people ? Mention them.
Read more …Students in a school listened to the news read in the morning assembly
Students in a school listened to the news read in the morning assembly that the mountain of garbage in Delhi, suddenly exploded and various vehicles got buried under it. Several people were also injured and there was traffic jam all around. In the brain storming session the teacher also discussed this issue and asked the students to find out a solution to the problem of garbage. Finally they arrived at two main points - one is self management of the garbage we produce and the second is to generate less garbage at individual level.
(a) Suggest two measures to manage the garbage we produce.
(b) As an individual, what can we do to generate the least garbage ? Give two points.
(c) List two values the teacher instilled in his students in this episode.
Read more …If the image formed by a spherical mirror for all positions
If the image formed by a spherical mirror for all positions of the object placed in front of it is always erect and diminished, what type of mirror is it? Draw a labelled ray diagram to support your answer.
Read more …A compound ‘X’ on heating with excess conc. sulphuric acid
A compound ‘X’ on heating with excess conc. sulphuric acid at 443 K gives an unsaturated compound ‘Y’. ‘X’ also reacts with sodium metal to evolve a colourless gas ‘Z’. Identify ‘X’, ‘Y’ and ‘Z’. Write the equation of the chemical reaction of formation of ‘Y’ and also write the role of sulphuric acid in the reaction.
Read more …Write a and b in the given flow chart of neuron
Write a and b in the given flow chart of neuron through which information travels as an electrical impulse.
What is meant by power of a lens
What is meant by power of a lens? Write its SI unit. A student uses a lens of focal length 40 cm and another of –20 cm. Write the nature and power of each lens.
Read more …State the laws of refraction of light
State the laws of refraction of light. Explain the term 'absolute refractive index of a medium' and write an expression to relate it with the speed of light in vacuum.
Read more …Name the hormones secreted by the following endocrine glands
Name the hormones secreted by the following endocrine glands and specify one function of each:
(a) Thyroid (b) Pituitary (c) Pancreas
Read more …Write one main difference between asexual and sexual mode of reproduction
Write one main difference between asexual and sexual mode of reproduction. Which species is likely to have comparatively better chances of survival - the one reproducing asexually or the one reproducing sexually? Give reason to justify your answer.
Read more …Why are alloys commonly used in electrical heating devices
Why are alloys commonly used in electrical heating devices? Give reason.
Read more …Why are metals good conductors of electricity whereas glass is a bad conductor
Why are metals good conductors of electricity whereas glass is a bad conductor of electricity? Give reason.
Read more …List the factors on which the resistance of a conductor
List the factors on which the resistance of a conductor in the shape of a wire depends.
Read more …Why are most carbon compounds poor conductors of electricity?
Why are most carbon compounds poor conductors of electricity?
Read more …2 mL of sodium hydroxide solution is added to a few pieces of granulated zinc
2 mL of sodium hydroxide solution is added to a few pieces of granulated zinc metal taken in a test tube. When the contents are warmed, a gas evolves which is bubbled through a soap solution before testing. Write the equation of the chemical reaction involved and the test to detect the gas. Name the gas which will be evolved when the same metal reacts with dilute solution of a strong acid.
Read more …Decomposition reactions require energy either in the form of heat or light or electricity
Decomposition reactions require energy either in the form of heat or light or electricity for breaking down the reactants. Write one equation each for decomposition reactions where energy is supplied in the form of heat, light and electricity.
Read more …Mention components of blood. Trace the movement of oxygenated blood
(a) Mention any two components of blood.
(b) Trace the movement of oxygenated blood in the body.
(c) Write the function of valves present in between atria and ventricles.
(d) Write one structural difference between the composition of artery and veins.
Read more …Describe in brief the structure and function of placenta
Describe in brief the structure and function of placenta?
Read more …Write the function of following parts in human female reproductive system
Write the function of following parts in human female reproductive system:
- Ovary
- Oviduct
- Uterus
Write the steps involved in the extraction of pure metals
Write the steps involved in the extraction of pure metals in the middle of the activity series from their carbonate ores.
Read more …The modern periodic table has been evolved through the early attempts of Dobereiner, Newland and Mendeleev
(a) The modern periodic table has been evolved through the early attempts of Dobereiner, Newland and Mendeleev. List one advantage and one limitation of all the three attempts.
(b) Name the scientist who first of all showed that atomic number of an element is a more fundamental property than its atomic mass.
(c) State Modern periodic law.
Read more …Write the function of each of the following parts of human eye
Write the function of each of the following parts of human eye:
- Cornea
- Iris
- Crystalline lens
- Ciliary muscles
A student is unable to see clearly the words written on the black board
A student is unable to see clearly the words written on the black board placed at a distance of approximately 3 m from him. Name the defect of vision the boy is suffering from. State the possible causes of this defect and explain the method of correcting it.
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