CSIR NET –JUNE 2012

Part-A

1.      1) Find the area of the shaded region in the given fig.

Solution:

          Radius of  the circle = 2cm

          Sides of  the square =2√2

          Area of  the shaded region=(Area of  the circle-Area of  the square)/4

                                                            =  (πr² - a²)/4

                                                =  (4π - 8)/4

                                                = π-2

2.      2) The angles of  a  right angle triangular garden are in arithmetic progression. The smallest side of  the garden is 10m. Then Howmany meters  is needed to fence the garden ?

1)      10       2) 47       3) 60      4)

3. From  the following semicircle, AQ=2AP then which of  the following is correct?

1)      ∟AQP=2∟APB

2)      ∟AQB=∟APB

3)      ∟AQB > ∟APB

4)      ∟AQB < 2∟APB

4. Two types of rabbit community are A&B. Type A’s population is increasing 25% per year. Type B’s population is increasing 50% per year. In the present year both are equal. Then after two years  ratio of  the  population  of B and  A is ,

1)      1      

2)      1.72

3)      1.94

4)      1.47  

5. From the fig which of the following is correct?

1)      a + ab + ab² +………..= a/(1-b),  │b│<1

2)      a > b then a³ > b³

3)      (a+b)²  = a ² + 2ab + b²

4)      a > b then  -a < -b