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Using prime factorisation, find the square roots of 4761
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Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
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Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
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Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
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Radha takes some flowers in a basket and visits three temples one by one. At each temple, she offers one-half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning.
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Divide 54 into two parts such that one part is `2/7` of the other.
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The surface area of a cuboid formed by joining two cubes of side a face to face is ______.
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All six faces of a cuboid are ______ in shape and of ______ area.
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Opposite faces of a cuboid are ______ in area.
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The areas of any two faces of a cuboid are equal.
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The surface area of a cuboid formed by joining face to face 3 cubes of side x is 3 times the surface area of a cube of side x.
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Two cuboids with equal volumes will always have equal surface areas.
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Find the length of the largest pole that can be placed in a room of dimensions 12 m × 4 m × 3 m.



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A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
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Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8 m?
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Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.
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Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?

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External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm2 is Rs 11,750, find the dimensions of the box.
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A rectangular sheet of dimensions 25 cm × 7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.
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Let abc be a three-digit number. Then abc – cba is not divisible by ______.
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