CBSE X Questions
Show that exactly one of the numbers n, n + 2 or n + 4 is divisible by 3
Show that exactly one of the numbers n, n + 2 or n + 4 is divisible by 3.
Read more …If two positive integers p and q are written as p = a^2b^3 and q = a^3b
If two positive integers p and q are written as p = a2b3 and q = a3b; a, b are prime numbers, then verify:
LCM (p, q) × HCF (p, q) = pq
Use Euclid’s algorithm to find the HCF of 4052 and 12576
Use Euclid’s algorithm to find the HCF of 4052 and 12576.
Read more …Using Euclid’s division algorithm find the HCF of the numbers 867 and 255
Using Euclid’s division algorithm find the HCF of the numbers 867 and 255.
Read more …Divide 27 into two parts such that the sum of their reciprocals is 3/20
Divide 27 into two parts such that the sum of their reciprocals is 3/20.
Read more …The sum of first n terms of an AP is given by Sn = 2n^2 + 3n
The sum of first n terms of an AP is given by Sn = 2n2 + 3n. Find the sixteenth term of the AP.
Read more …An AP consists of 37 terms. The sum of the three middle most terms is 225
An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three terms is 429. Find the AP.
Read more …In an A.P if sum of its first n terms is 3n^2 + 5n and its kth term is 164
In an A.P if sum of its first n terms is 3n2 + 5n and its kth term is 164, find the value of k.
Read more …If coordinates of two adjacent vertices of a parallelogram are (3, 2), (1, 0)
If coordinates of two adjacent vertices of a parallelogram are (3, 2), (1, 0) and diagonals bisect each other at (2, –5), find coordinates of the other two vertices.
Read more …If the area of triangle with vertices (x, 3), (4, 4) and (3, 5) is 4 square units
If the area of triangle with vertices (x, 3), (4, 4) and (3, 5) is 4 square units, find x.
Read more …In figure, AB is a chord of length 8 cm of a circle of radius 5 cm
In figure, AB is a chord of length 8 cm of a circle of radius 5 cm. The tangents to the circle at A and B intersect at P. Find the length of AP.
The side of a square is 10 cm. Find the area between inscribed and circumscribed circles
The side of a square is 10 cm. Find the area between inscribed and circumscribed circles of the square.
Read more …If sin (A + 2B) = √3/2 and cos (A + 4B) = 0, A > B
If sin (A + 2B) = √3/2 and cos (A + 4B) = 0, A > B, and A + 4B ≤ 90º, then find A and B.
Read more …The following frequency distribution shows the distance thrown by 68 students
The following frequency distribution shows the distance (in metres) thrown by 68 students in a Javelin throw competition.
Draw a less than type Ogive for the given data and find the median distance thrown using this curve.
Read more …The following distribution shows the daily pocket allowance of children of a locality
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs.18. Find the missing frequency k.
By changing the following frequency distribution ‘to less than type’
By changing the following frequency distribution ‘to less than type’ distribution, draw its ogive.
Find the value(s) of k for which the pair of linear equations kx + y = k^2 and x + ky = 1
Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions.
Read more …For what values of m and n the following system of linear equations
For what values of m and n the following system of linear equations has infinitely many solutions.
3x + 4y = 12
(m + n)x + 2(m – n)y = 5m – 1
Find all the zeroes of the polynomial 3x^4 + 6x^3 - 2x^2 - 10x - 5
Find all the zeroes of the polynomial 3x4 + 6x3 - 2x2 - 10x - 5 if two of its zeroes are √(5/3) and – √(5/3)
Read more …Obtain all zeroes of 3x^4 – 15x^3 + 13x^2 + 25x – 30
Obtain all zeroes of 3x4 – 15x3 + 13x2 + 25x – 30, if two of its zeroes are √5/3 and – √5/3
Read more …A train travelling at a uniform speed for 360 km would have taken 48 minutes less
A train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same distance if its speed were 5 km/hour more. Find the original speed of the train.
Read more …Check whether the equation 5x^2 – 6x – 2 = 0 has real roots
Check whether the equation 5x2 – 6x – 2 = 0 has real roots and if it has, find them by the method of completing the square. Also verify that roots obtained satisfy the given equation.
Read more …A faster train takes one hour less than a slower train for a journey of 200 km
A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of slower train is 10 km/hr less than that of faster train, find the speeds of two trains.
Read more …Prove that the ratio of the areas of two similar triangles is equal to
Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
Read more …Two poles of equal heights are standing opposite to each other
Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide. From a point in between them on the road, the angles of elevation of the top of poles are 60º and 30º respectively. Find the height of the poles and the distances of the point from the poles.
Read more …If sin θ + cos θ = √2, then evaluate: tan θ + cot θ
If sin θ + cos θ = √2, then evaluate: tan θ + cot θ
Read more …The angle of elevation of the top of a hill at the foot of a tower is 60º
The angle of elevation of the top of a hill at the foot of a tower is 60º and the angle of depression from the top of tower to the foot of hill is 30º. If tower is 50 metre high, find the height of the hill.
Read more …A cone of maximum size is carved out from a cube of edge 14 cm
A cone of maximum size is carved out from a cube of edge 14 cm. Find the surface area of the remaining solid after the cone is carved out.
Read more …A man donates 10 aluminum buckets to an orphanage. A bucket made of aluminum is of height 20 cm
A man donates 10 aluminum buckets to an orphanage. A bucket made of aluminum is of height 20 cm and has its upper and lowest ends of radius 36 cm and 21 cm respectively. Find the cost of preparing 10 buckets if the cost of aluminum sheet is Rs. 42 per 100 cm2.
Read more …Find the mean and mode for the following data
Find the mean and mode for the following data:
A box contains cards numbered from 1 to 20. A card is drawn at random
A box contains cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that number on the drawn card is
- a prime number
- a composite number
- a number divisible by 3
A box contains cards numbered 11 to 123. A card is drawn at random from the box
A box contains cards numbered 11 to 123. A card is drawn at random from the box. Find the probability that the number on the drawn card is
- a square number
- a multiple of 7
A box contains 12 balls of which some are red in colour
A box contains 12 balls of which some are red in colour. If 6 more red balls are put in the box and a ball is drawn at random, the probability of drawing a red ball doubles than what it was before. Find the number of red balls in the bag.
Read more …The King, Queen and Jack of clubs are removed from a pack of 52 cards
The King, Queen and Jack of clubs are removed from a pack of 52 cards and then the remaining cards are well shuffled. A card is selected from the remaining cards. Find the probability of getting a card
- of spade
- of black king
- of club
- of jacks
Carbon has four electrons in its valence shell
Carbon has four electrons in its valence shell. Which type of compounds can be formed by carbon atom and why ? Give any one example of such compounds.
Read more …An object is kept 40 cm in front of a concave mirror of focal length 20 cm
An object is kept 40 cm in front of a concave mirror of focal length 20 cm. Find the position and nature of the image. Draw a ray diagram to show the formation of image in this case.
Read more …In the reaction: MnO2 + 4HCl → MnCl2 + 2H2O + Cl2
In the reaction:
MnO2 + 4HCl → MnCl2 + 2H2O + Cl2
- Name the compound (i) oxidised, (ii) reduced.
- Define oxidation and reduction on its basis.
For the preparation of cakes, baking powder is used
(a) For the preparation of cakes, baking powder is used. If at home your mother uses baking soda instead of baking powder, how will it affect the taste of the cake and why?
(b) How is baking soda be converted into baking powder?
(c) What makes the cake soft and spongy?
Read more …In the electrolysis of water
In the electrolysis of water,
- Name the gas collected at anode and cathode?
- Why is the volume of gas collected at one electrode double than the other?
- What would happen if dil H2SO4 is not added to water?
pH has a great importance in our daily life
"pH has a great importance in our daily life". Explain by giving three examples.
Read more …A compound which is prepared from gypsum has the property of hardening
A compound which is prepared from gypsum has the property of hardening when mixed with a proper quantity of water. Identify the compound and write its chemical formula. Write the chemical equation for its preparation. Mention any one use of the compound.
Read more …1 g of solid sodium chloride is taken in a clean and dry test tube
1 g of solid sodium chloride is taken in a clean and dry test tube and 2 mL of conc. sulphuric acid is added to it. If the gas evolved is tested first with dry and then with wet blue litmus paper, in which case will the litmus paper change colour? Give reason for your answer. What inference can be drawn about the nature of the evolved gas ? Support your answer with chemical equation for the reaction.
Read more …What happens when hydrogen is added to a vegetable oil in the presence of nickel
What happens when hydrogen is added to a vegetable oil in the presence of nickel? Name the reaction and write one difference between the physical property of the vegetable oil and the product obtained in this reaction. Write the role of nickel in this reaction.
Read more …An object of height 1.2 m is placed before a concave mirror
An object of height 1.2 m is placed before a concave mirror of focal length 20 cm so that a real image is formed at a distance of 60 cm from it. Find the position of an object. What will be the height of the image formed?
Read more …Rohit focused the image of a candle flame on a white screen
Rohit focused the image of a candle flame on a white screen using a convex lens. He noted down the position of the candle, screen and lens as under:
Position of candle = 26.0 cm
Position of convex lens = 50.0 cm
Position of screen = 74.0 cm
i) What is the focal length of the convex lens?
ii) Where will the image be formed if he shifts the candle towards the lens at a position of 38 cm?
iii) Draw a ray diagram to show the formation of the image in case (ii) as said above?
How Did Mendel Explain That Trait Is Inherited But Not Expressed
How did Mendel explain that it is possible that a trait is inherited but not expressed in an organism?
Read more …Distinguish Between Acquired Traits And Inherited Traits
With the help of one example for each, distinguish between the acquired traits and the inherited traits. Why are the traits / experiences acquired during the entire lifetime of an individual not inherited in the next generation? Explain the reason of this fact with an example.
Read more …What are acquired traits? Why are these traits generally not inherited over generations
What are acquired traits? Why are these traits generally not inherited over generations? Explain.
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