SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions

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Choose the correct alternative answer for the following question.

The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.

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A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.

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If hypotenuse of a right angled triangle is 5 cm, find the radius of
the circle passing through all vertices of the triangle.

Diagonal of a square is 20 cm. Find the length and perimeter of the square.

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Out of the following which is a Pythagorean triplet? 

In ΔPQR, seg PM is a median, PM = 9 and PQ² + PR²  = 290. Find the length of QR. 

In ΔPQR, seg PM is the median. If PM = 9, PQ² + PR² = 290, Find QR. 

Draw the circumcircle of Δ PMT in which PM = 5.4, P = 60°, M = 70°.

In ΔABC, seg AP is a median. If BC = 18, AB² + AC² = 260, then find the length of AP. 

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Out of given triplets, which is not a Pythagoras triplet?

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Out of given triplets, which is not a Pythagoras triplet?

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Out of all numbers from given dates, which is a Pythagoras triplet?

Height and base of a right angled triangle are 24 cm and 18 cm. Find the length of its hypotenus?

"The diagonals bisect each other at right angles." In which of the following quadrilaterals is the given property observed?

Which of the following figure is formed by joining the mid-points of the adjacent sides of a square?

In the given figure, triangle ABC is a right-angled at B. D is the mid-point of side BC. Prove that AC² = 4AD² – 3AB².