CBSE X Questions

Write the principle of working of an electric motor

Write the principle of working of an electric motor. Explain the function of the following parts of an electric motor:

  1. Armature
  2. Brushes
  3. Split ring

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What is observed when a solution of sodium sulphate is added to a solution of barium chloride

What is observed when a solution of sodium sulphate is added to a solution of barium chloride taken in a test tube? Write equation for the chemical reaction involved and name the type of reaction in this case.

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A student added few pieces of aluminium metal to two test tubes

A student added few pieces of aluminium metal to two test tubes A and B containing aqueous solutions of iron sulphate and copper sulphate. In the second part of her experiment, she added iron metal to another test tubes C and D containing aqueous solutions of aluminium sulphate and copper sulphate.

In which test tube or test tubes will she observe colour change? On the basis of this experiment, state which one is the most reactive metal and why.

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An object of height 4.0 cm is placed at a distance of 30 cm

An object of height 4.0 cm is placed at a distance of 30 cm from the optical centre ‘O’ of a convex lens of focal length 20 cm. Draw a ray diagram to find the position and size of the image formed. Mark optical centre ‘O’ and principal focus ‘F’ on the diagram. Also find the approximate ratio of size of the image to the size of the object.

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List the steps of preparation of temporary mount of a leaf peel

List the steps of preparation of temporary mount of a leaf peel to observe stomata?

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How does the story ‘Two Gentlemen of Verona’ give hope to the society

How does the story ‘Two Gentlemen of Verona’ give hope to the society?

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What message is conveyed through the poem ‘The Frog and the Nightingale’

What message is conveyed by Vikram Seth through the poem ‘The Frog and the Nightingale’?

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Although Calpurnia revealed her fear after nightmare yet Caesar decided to go

Although Calpurnia revealed her fear after nightmare yet Caesar decided to go to senate house. Why?

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What did the sculptor want to portray through the statue of Ozymandias

What did the sculptor want to portray through the statue of Ozymandias?

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How can you say that Michael and his father had a passion for computer games

How can you say that Michael and his father had a passion for computer games?

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Getting admission into college wasn’t easy for Helen

Getting admission into college wasn’t easy for Helen. Moreover, she encountered a lot of problems while studying there. Bring out her problems.

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Miss Sullivan played a very important part in Helen’s life

Miss Sullivan played a very important part in Helen’s life. Discuss with reference to the novel.

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In the life of Helen Keller, Ms. Anne Sullivan acts as an inspiration

In the life of Helen Keller, Ms. Anne Sullivan acts as an inspiration behind her extraordinary life. Justify with suitable instances from the text.

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A bag contains 15 white and some black balls

A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.

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In the given figure, two concentric circles with centre O have radii 21 cm and 42 cm

In the given figure, two concentric circles with centre O have radii 21 cm and 42 cm. If ∠AOB = 60°, find the area of the shaded region.  [Use π = 22/7]

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The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm

The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

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The dimensions of a solid iron cuboid are 4.4 m × 2.6 m × 1.0 m. It is melted and recast into a hollow cylindrical pipe

The dimensions of a solid iron cuboid are 4.4 m × 2.6 m × 1.0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe.

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Two taps running together can fill a tank in 3 1/13 hours

Two taps running together can fill a tank in 3 1/13 hours. If one tap takes 3 hours more than the other to fill the tank, then how much time will each tap take to fill the tank?

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In an equilateral triangle ABC, D is a point on the side BC

In an equilateral triangle ABC, D is a point on the side BC such that BD = 1/3 BC. Prove that 9AD2 = 7AB2

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The angles of depression of the top and bottom of a building 50 metres high

The angles of depression of the top and bottom of a building 50 metres high as observed from the top of a tower are 30° and 60°, respectively. Find the height of the tower and also the horizontal distance between the building and the tower.

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If the ratio of the sum of the first n terms of two A.Ps is (7n+1) : (4n+27)

If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.

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An aeroplane is flying at a height of 300 m above the ground

An aeroplane is flying at a height of 300 m above the ground. Flying at this height, the angles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45° and 60° respectively. Find the width of the river. [Use √3 = 1.732]

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If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear

If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear, then find the value of k.

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Two different dice are thrown together

Two different dice are thrown together. Find the probability that the numbers obtained have

  1. even sum
  2. even product

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In the given figure, ABCD is a rectangle of dimensions 21 cm × 14 cm

In the given figure, ABCD is a rectangle of dimensions 21 cm × 14 cm. A semicircle is drawn with BC as diameter. Find the area and the perimeter of the shaded region in the figure.

 

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In a rain-water harvesting system, the rain-water from a roof of 22 m × 20 m drains

In a rain-water harvesting system, the rain-water from a roof of 22 m × 20 m drains into a cylindrical tank having diameter of base 2 m and height 3.5 m. If the tank is full, find the rainfall in cm.

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If the sum of the first 14 terms of an AP is 1050 and its first term is 10

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

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A rectangular park is to be designed whose breadth is 3 m less than its length

A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find its length and breadth.

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The sum of a two-digit number and the number obtained by reversing the digits is 66

The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?

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The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3

The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them manages to save Rs. 2000 per month, find their monthly incomes.

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Find the zeroes of the quadratic polynomial x^2 + 7x + 10

Find the zeroes of the quadratic polynomial x2 + 7x + 10, and verify the relationship between the zeroes and the coefficients.

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Find the HCF and LCM of 6, 72 and 120

Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.

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