In the given figure AB = AC and ∠ACD = 105°, then ∠BA

Subject

Mathematics

Class

TET Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

In the given figure AB = AC and ACD = 105°, then BAC is equal to

  • 60°

  • 105°

  • 30°

  • 75°


C.

30°

Given, AB=AC,ACD=105

Let ABC = ACB=x

ACB+ACD = 180o   (straight line Angle)

x+105=180

x=180o-105o=75o

We know that ∠ABC+∠ACB+∠BAC=180o (Sum of angles of a triangle )

75o+75o+∠BAC=180o

∠BAC=180- 150o=30o

 


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2.

If 30% of (B- A) = 18% of (A + B), then the ratio A : B will be

  • 4:1

  • 5:3

  • 1:4

  • 5:2


3.

Two numbers are in the ratio 3:4. The product of their HCF and LCM is 2028. Then sum of the number will be

  • 72

  • 86

  • 68

  • 91


4.

If a*b=(a X b)+ b,then 5*7 is equal to

  • 35

  • 42

  • 12

  • 59


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5.

Which of the following is the best method to teach geometry?

  • Play method

  • Drill method

  • Formula-based method

  • Display method


6.

An article is sold at 20% profit. If its cost price is increased by 50 and at the same time if its selling price is also increased by 30, the percentage of profit decreased by 313%,then the cost price is

  • 851
     

  • 852

  • 850

  • 853


7.

The minimum value of (x-2)(x-9)

  • 494

  • 0

  • 114

  • -494


8.

Find the square root of(272)2- (128)2.

  • 200

  • 240

  • 256

  • 144


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9.

If each edge of a cube is doubled, then the percentage increase in its total surface area is

  • 200%

  • 300%

  • 150%

  • 600%


10.

If a3=b2=c1, thena+b+2cb

  • 3.8

  • 4

  • 3.5

  • 5


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