math quiz 3

QUIZ 3

 

Q 1 : If x + 1x= 2, then the value ( x2+ 1x2)(x3+1x3) is

  1. 20
  2. 4
  3. 8
  4. 16

 

Q 2 : The value of  cos 1 cos 2 cos 3 ……….cos 177 cos 178 cos 179 is  

  1. 0
  2. 12
  3. 1
  4. 12

 

Q 3: The value of sin225 + sin265 is

  1. 32
  2. 0
  3. 23
  4. 1

 

Q 4 : ABC is an equilateral triangle and AD perpendicular to BC. Then

          AB2+ BC2+ CA2= ?

  1. 2AD2
  2. 3AD2
  3. 4AD2
  4. 5AD2

 

Q 5 : The sides of a triangle are 3 cm, 4 cm, and 5 cm. The area of the triangle formed by joining the midpoints of this triangle is

  1. 6
  2. 3
  3. 1.5
  4. .75

 

Directions : Read the following pie-chart to answers the questions below:

Q 6: If the total amount spent during the year 1998 was Rs 46000. Find the amount which is spent on food ?

  1. Rs 2000
  2. Rs 10580
  3. Rs 23000
  4. Rs 2300

 

Q 7 : Total amount spent was Rs 46000, how much was spent on clothing and housing together?

  1. Rs 11500
  2. Rs 1150
  3. Rs 10000
  4. Rs 15000

 

Q 8 : The ratio of the total amount of money spent on housing to that spent on education was :

  1. 5 : 2
  2. 2 : 5
  3. 4 : 5
  4. 5 : 4

 

Q 9 : find, that the maximum amount was spent on ?

  1. Food
  2. Housing
  3. Clothing
  4. other

 

Q 10 : The total exp. Of family in  year 1998 was Rs 46000 the family saved during the year.

  1. Rs 1500
  2. Rs 15000
  3. Rs 6900
  4. Rs 3067

 

Answer key

 

  1. 2
2. 1 3. 4 4. 3 5. 3 6. 2 7. 1
8. 4 9. 1 10.  3

 

Solutions

 

1) (2) x2+ 1/x2=2  ;  x3+ 1/x3= 2

        When multiply both equations = 4 (ans)

 

2) (1)  cos1.cos2.cos3………….cos90…………………cos189

          Cos90 = 0

         So, value of equation = 0    (ans)

 

3)(4)  sin2A + sin2B = 1 (when A +B =90)

        sin225 + sin 265 =1 (ans)

 

4) (3)  in equilateral triangle 3 *side square = 4*perpendicular square  

 

5) (3) The area of the triangle formed by joining the midpoints of this triangle is one forth of the area of triangle.

   Area = ¼ (½ *3*4) = 1.5 (ans)

 

6) (2)   amount which is spent on food = 46000*23/100 = 10580 (ans)

 

7) (1)   amount spent on housing and clothing both = 46000* 25/100 = 11500 (ans)

 

8) (4) housing : education = 15 : 12 = 5 : 4 (ans)

 

9) (1)  maximum amount was spent on food.

 

10) (3) saving = 46000 * 15l100 = 6900 (ans)

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