In a right triangle, the square of hypotenuse is equal to twice t

Subject

Mathematics

Class

TET Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The alternate vertices of a regular pentagon are joined to form a star having five vertices. The sum of all five vertical angles of this star will be

  • 1500

  • 1800

  • 2100

  • 5400


2.

A cuboid is of dimensions 5 cm x 2 cm x 5 cm. How many such cuboids may be joined to form a cube ?

  • 32

  • 16

  • 25

  • 20


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3.

In a right triangle, the square of hypotenuse is equal to twice the product of remaining two sides. If the base of this triangle is 12 cm, then the perpendicular of triangle will be

  • 12cm

  • 10/2cm

  • 9cm

  • 6cm


A.

12cm

Given condition is,h2 = 26 × ph2 = 212 × p Here, p = perpendicularWe know that,h2 = b2 + p2 h2 = 144 + p2 24p = 144 + p2 p2 - 24p + 144 = 0 p2 - 12p - 12p + 144 = 0pp - 12 - 12p - 12 = 0 pp - 12 - 12p - 12 = 0Solving above equation, we getp = 12So, the perpendicular of triangle will be 12cm


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4.

In the given figure, both ABCD and PQRS are the parallelograms. The value of 0 will be

  • 500

  • 450

  • 400

  • 300


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5.

The difference between the simple interest and compound interest on a certain, sum of money at 4% per annum for two years is Rs. 10. The sum will be

  • 4500

  • 5500

  • 5750

  • 6250


6.

The wheel of an engine, 17.5 cm in radius, makes 1200 revolutions in 2 min. Speed of the engine is

  • 10m/s

  • 11m/s

  • 12m/s

  • 12.5m/s


7.

"The sum of two whole numbers is also a whole number." This property of whole numbers is known as

  • associative property of addition

  • commutative property of addition

  • closure property of addition

  • property of componendo-dividendo


8.

The mean of the median and mode of the observations 6, 6, 9, 14, 8, 9, 9, 8 is

  • 8.5

  • 8.625

  • 8.75

  • 8.9


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9.

The sum of the length, breadth and depth of a cuboid is 20 cm and its diagonal is 45 cm. The surface area of cuboid will

  • 320cm2

  • 365cm2

  • 3805cm2

  • 400cm2


10.

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be

  • 3

  • 5

  • 7

  • 9


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