Quantitative Reasoning Online MCQS Test 3

1. Let f: R→R be given by f(x) =(1+x)²-1, x≥-1 then the set of values of x for which f(x)=f^-1 (x) is given by

2. If x is real, then the expression x²-x+1/x-1

3. If (a+b+2c+3d)(a-b-2c+3d)

=(a-b+2c-3d)×(a+b-2c-3d),

then 2bc is equal to.

4. If x≠ 1 and f(x) =x+1/x-1 is a real function, then f (f(f(2))) is?

5. If a,b are the two roots of a quadratic equation such that a+b=24 and a-b=8, then the quadratic equation having a and b as its roots is?

6. If f,g: R→R, f(x)=(1+x)², g(x)=1+x², then f(g(-3))=

7. The value of (1³+2³+3³+........+15³)-(1+2+3+........+15) is?

8. The difference between the logarithms of sum of the squares of two positive numbers A and B and the sum of logarithms of the individual numbers is a constant C. If A=B, then C is?

9. If f(x)= log(1+x/1-x), then f(2x/1+x²) is equal to

10. The term independent of x in the expansion of (2x+1/3x)⁶ is?

11. If the roots of the equation (c²-ab)x²-2 (a²-bc) x+ (b²-ac)=0 for a≠0 are real and equal, then the value of a³+b³+c³ is?

12. If g(f(x))=[sin x] and f(g(x))=(sin√x)², then

13. A box of light bulbs contains 24 bulbs. A worker replaces 17 bulbs in the shipping department and 13 bulbs in the accounting department. How many boxes of bulbs did the worker use?

14. If f (x)=2x+1/3x-2, then f (f(2)) is equal to

15. If f(x)=x²-1/x², then f(1/x) is equal to