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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

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The perimeter of a rectangular field is 28 m and its area is 40 sq. m. Its sides are ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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In the given figure, the value of x is ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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The area of the given rectangle is 60 sq. m and its longer side is 10 m, the perimeter of the rectangle is ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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The perimeter of a square is numerically equal to its area. The perimeter of the square is ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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If the width of the uniform shaded portion of x m; its area in terms of x is ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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The length of a rectangle is 3 m more than its width. If its area is 180 m2; the length of the rectangle is ______.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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If x, 2, 10 and y are in continued proportion, the values of x and y are respectively:

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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If x : y = y : z, then x2 : y2 is ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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The mean proportion between `3 + 2sqrt(2)` and `3 - 2sqrt(2)` is ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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If 2x, 9 and 18 are in continued proportion, the value of x is ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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If x + y + z = 0, the value of `x/(y + z)` is ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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If a, b, c and d are in proportion, the value of `(8a^2 - 5b^2)/(8c^2 - 5d^2)` is equal to ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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The mean proportional to `sqrt(3) + sqrt(2)` and `sqrt(3) - sqrt(2)` is ______.

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

x A 24 15
y 12 B 20

The values of A and B are:

[7] Ratio and Proportion
Chapter: [7] Ratio and Proportion
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ls – 8, – 8, – 8, – 8, ........, an A.P.?

[10] Arithmetic Progression
Chapter: [10] Arithmetic Progression
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If 5, 7 and 9 are in A.P., then which of the following is in A.P.?

[10] Arithmetic Progression
Chapter: [10] Arithmetic Progression
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A man bought an article for Rs. x and sold it for Rs. 16. If his loss was x per cent, find the cost price of the article.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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A trader bought an article for Rs. x and sold it for Rs. 52, thereby making a profit of (x – 10) per cent on his outlay. Calculate the cost price.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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By selling a chair for Rs. 75, Mohan gained as much per cent as its cost. Calculate the cost of the chair.

[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
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A trader buys x articles for a total cost of Rs. 600.

  1. Write down the cost of one article in terms of x. If the cost per article were Rs. 5 more, the number of articles that can be bought for Rs. 600 would be four less.
  2. Write down the equation in x for the above situation and solve it for x.
[6] Problems on Quadratic Equations
Chapter: [6] Problems on Quadratic Equations
Concept: undefined >> undefined
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