Math Chapter Wise

EnglishDSE TGT 2022

Q81.What is the area (in sq. cm) of a sector of a circle whose radius is 6 cm, if the sector makes an angle of 60º at the centre?

A144 B132 C132/7 D144/7

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EnglishDSE TGT 2022

Q82.Number of faces of a polyhedron with 30 edges and 20 vertices is

A13 B12 C8 D14

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EnglishDSE TGT 2022

Q83.A big sphere is melted and recasted to 8 identical small spheres of same radius. What is the ratio of new radius of each small sphere to that of the radius of big sphere?

A1:8 B1:4 C1:3 D1:2

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EnglishDSE TGT 2022

Q84.Volume (in cubic. cm.) of a largest sphere than can be inscribed in a cube of side 21 cm is

A4541 B4851 C4581 D4158

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EnglishDSE TGT 2022

Q85.If three sides of a right-angled triangle are integers in their lowest form, then the length of one of its sides is always a multiple of

A13 B7 C5 D11

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EnglishDSE TGT 2022

Q86.The number is divisible by 25 only, if

AThe last digit of the number is zero BThe last digit of the number is 5 Che last two digits of the number is divisible by 15 DThe last two digits of the number is either zeroes or divisible by 25

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EnglishDSE TGT 2022

Q87.The least number which is a perfect square and has 560 as a factor is

A19600 B18600 C17500 D19200

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EnglishDSE TGT 2022

Q88.What will be the remainder when 19100 is divided by 20?

A5 B3 C9 D1

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EnglishDSE TGT 2022

Q89.In a well shuffled pack of 52 playing cards, picking of two cards from it, can be done in

A52 ways B1326 ways C1258 ways D1542ways

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EnglishDSSSB PGT 2021

Q90.In the equation f(x) = 2x2 +3x+5 the value of x changes from 2 to 2.02 then the expectation will increase and decrease respectively

A0.2208 and 0.22 B0.2204 and 0.22 C0.2204 and 0.24 D0.2208 and 0.24

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EnglishDSSSB PGT 2021

Q91.Multiplication of the number 0.5321E5 and 0.4387E10 is

A0.2334323E15 B0.2334E15 C0.233433E15 D0.23343227E1

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EnglishDSSSB PGT 2021

Q92.If E = e1e2 with e1 = 5.43, e2 = 3.82 and if error in both e1, e2 is 0.01, then the relative error of E is–

A0.045 B0.0054 C0.0045 D0.0425

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EnglishDSSSB PGT 2021

Q93.The absolute error in approximate number xA = 0.333 when exact number r 1 x = 3 up to two significant digits is

A0.0003 B0.00033 C0.033 D0.0033

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EnglishOAVS TGT 2021

Q94.A ∆ ∆ ∆ABC has points D,E,F on the lines BC, CA and AB respectively, Lines AD, BE and CF intersect each other at P. If AF × BD × CE = 30, then 3FB × DC × AE is:

A90 B50 C60 D30

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EnglishOAVS TGT 2021

Q95.If 5 5 log x log (x 24) 2, then find x.

A24 B5 C1 D25

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EnglishOAVS TGT 2021

Q96.Two right triangles with triangles with length of sides 3, 4 and 5 are arranged with one common side to a quadrilateral. Find the area of the quadrilateral so formed.

A15 unit2 B10 unit2 C20 unit2 D12 unit2

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EnglishOAVS TGT 2021

Q97.A room consists of two windows of size 0.5 × 2 units and a door of 0.75 × 4 units. The interior walls of the room off length width and height 12, 10 and 8 units, respectively, are to be painted at the rate of 100 per square unit. Find the total cost of painting.

A` 23,500 B` 43, 700 C` 34,700 D` 35,200

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EnglishOAVS TGT 2021

Q98.The sum of three distinct natural numbers is 28. What is the maximum value of their product?

A784 B770 C796 D792

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EnglishOAVS TGT 2021

Q99.If the radius and height of a right circular cone is reduced by 1/3 times and 1/5 times respectively, then the volume of the cone is reduced by_____ times.

A1/15 B1/75 C1/30 D1/45

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EnglishOAVS TGT 2021

Q100.A solid cube of side 22 cm long is melted so as to make solid spheres of radius 10 mm. How many such spheres can be made?

A2514 B5082 C5802 D2541

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