Solve the SCRA Exam Question Paper of the previous year. Prepare better.

**Mathematics**

**2. In an examination of a certain class, at least 70% of the students failed in Physics, at least 72% failed in Chemistry, at least 80% failed in Mathematics and at least 85% failed in English. How many at lest must have failed in all the four subjects ?**

**(a) **5%

**(b)** 7%

**(c)** 15%

**(d) **Cannot be determined due to insufficient data

**3. If a≠0 and the line 4bx+3cy+2d=0 passes throught the points of intersection of the paraboals y ^{2}=4ax and x^{2}=4ay, then which one of the following is correct ?**

**(a)** d^{2}+(3b-4c)^{2}=0

**(b)** d^{2}+(3b=4c)^{2}=0

**(c)** d^{2}+(4b+3C)^{2}=a^{2}

**(d)** d^{2}+(4b+3c)^{2}=0

**5. Which one of the following represents the curve in the xy-plane passing through the point (2,2) and having at each of its points the slope equal to -x ^{-2} ?**

**(a)** y=x=1.5

**(b)** y=1.5x

**(c) **xy=1.5

**(d)** xy=1.5x+1

**7. What is the range of the function f (x)=x-[x] where [x] is the greatest integer function ?**

**(a)** [0,1)

**(b)** (0, 1]

**(c) **(0,1)

**(d)** [0,1]

**8. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to the circle, then what is the radius of the circle ?**

**(a)** 3/4

**(b)** 4/3

**(c) **3/2

**(d)** 3

Click on the link below to download the complete paper.

**SCRA Exam Paper on Mathematics - 2011**