Jamb 2015 Mathematics Questions
Question 46:
Evaluate log5(\( y^2x^5 ÷ 125b½) \)
- A 2 log<sub style='font-size: smaller;'>5</sub>y + 5log<sub style='font-size: smaller;'>5</sub> y<sup style='font-size: smaller;'>2</sup> − 3
- B Log<sub style='font-size: smaller;'>5</sub> y<sup style='font-size: smaller;'>2</sup> + 5log<sub style='font-size: smaller;'>5</sub> x + 3
- C 25log<sub style='font-size: smaller;'>y</sub> 5 + 3
- D 2log<sub style='font-size: smaller;'>5</sub>y + 5log<sub style='font-size: smaller;'>5</sub>x − ½ log<sub style='font-size: smaller;'>5</sub>b −3
Question 47:
Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
- A \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
- B \( \frac{5x}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
- C \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
- D \( \frac{2x^2}{3} + \frac{x}{5} - C \)
Question 48:
Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)
- A 17.1cm<sup style='font-size: smaller;'>2</sup>
- B 27.2cm<sup style='font-size: smaller;'>2</sup>
- C 47.1cm<sup style='font-size: smaller;'>2</sup>
- D 37.3cm<sup style='font-size: smaller;'>2</sup>
Question 49:
Simplify \( \frac{1}{(x + 1)} + \frac{1}{(x − 1)} \)
- A 2x/(x + 1)(x−3)
- B 2/(x + 1)(x−1)
- C 2x/(x + 1)2
- D 2x(x+1)2
Question 50:
The area of a circle of radius 4cm is equal to (Take π = 3.142 )
- A 10.3cm<sup style='font-size: smaller;'>2</sup>
- B 15.7cm<sup style='font-size: smaller;'>2</sup>
- C 50.3cm<sup style='font-size: smaller;'>2</sup>
- D 17.4cm<sup style='font-size: smaller;'>2</sup>