# 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= ?

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

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

 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)