Subject

Mathematics

Class

CBSE Class 10

Pre Boards

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Sample Papers

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 Multiple Choice QuestionsLong Answer Type

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31.

Sum of the first 20 terms of an AP is -240, and its first term is 7. Find its 24th term.


Given: S20 = -240  and a = 7

Consider,  S20 = -240

   Sn = n22a + (n-1) d  -240 =  2022 x 7 + (20-1) d -240 = 10 (14 + 19d) -24  = 14 + 19d   -24 - 14 = 19d  19d = -38 d= -2

Now, a24 = a + 23d

              = 7 + 23 x (-2)

              = -39

Hence, a24 = -39


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32.

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid.

Use π= 227


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