Other Maths · JEE Main previous year questions

2017 4 questions

1. Q132017 · 9 Apr 2017 · Shift 1

   If ${\int }_1^2\frac{dx}{(x^2-2x+4{)}^{\frac{3}{2}}}=\frac{k}{k+5}$, then k is equal to :

   1. A.$1$
   2. B.$2$
   3. C.$3$
   4. D.$4$
   Show answer

   Answer: A

2. Q142017 · 9 Apr 2017 · Shift 1

   A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle $30^{\circ }$ with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is :

   1. A.$2\sqrt{3}-1$
   2. B.$2\sqrt{3}-2$
   3. C.$\sqrt{3}-2$
   4. D.$\sqrt{3}-1$
   Show answer

   Answer: B

3. Q242017 · 9 Apr 2017 · Shift 1

   Let $$S_n=\frac{1}{1^3}+\frac{1+2}{1^3+2^3}+\frac{1+2+3}{1^3+2^3+3^3}+\dots \dots \cdots +\frac{1+2+\dots \cdots +n}{1^3+2^3+\dots \cdots +n^3}\cdot$$ If $100{\mathrm{S}}_n=n$, then n is equal to :

   1. A.$199$
   2. B.$99$
   3. C.$200$
   4. D.$19$
   Show answer

   Answer: A

4. Q72017 · 8 Apr 2017 · Shift 1

   If $(27{)}^{999}$ is divided by $7$, then the remainder is :

   1. A.$1$
   2. B.$2$
   3. C.$3$
   4. D.$6$
   Show answer

   Answer: D