Build a question paper in 60 seconds.

1. A
   ${SO}_{4}^{2 -}$
2. B
   ${Ba}^{2 +}$
3. C
   ${Na}^{+}$
4. D
   ${PO}_{4}^{3 -}$

Tap an option to check your answer.

1. A
   (A) only
2. B
   (C) only
3. C
   (B) and (D) only
4. D
   (D) only

Tap an option to check your answer.

1. A
   Carbocation B is more stable and formed relatively at faster rate
2. B
   Carbocation A is more stable and formed relatively at slow rate
3. C
   Carbocation B is more stable and formed relatively at slow rate
4. D
   Carbocation A is more stable and formed relatively at faster rate

Tap an option to check your answer.

1. A
   (A), (B), (C) and (D) only
2. B
   (B) and (C) only
3. C
   (A) and (E) only
4. D
   (A), (C) and (E) only

Tap an option to check your answer.

1. A
   $\left\lbrack \frac{327}{360},\frac{329}{360} \right\rbrack$
2. B
   $\left\lbrack \frac{330}{360},\frac{331}{360} \right\rbrack$
3. C
   $\left\lbrack \frac{331}{360},\frac{334}{360} \right\rbrack$
4. D
   $\left\lbrack \frac{335}{360},\frac{336}{360} \right\rbrack$

Tap an option to check your answer.

1. A
   0
2. B
   20
3. C
   25
4. D
   10

Tap an option to check your answer.

1. A
   $2\log_{e}\left( \frac{2\sqrt{3} + 9}{6} \right)$
2. B
   $2\log_{e}\left( \frac{2\sqrt{3} + 10}{11} \right)$
3. C
   $2\log_{e}\left( \frac{\sqrt{3} + 7}{2} \right)$
4. D
   $2\log_{e}\left( \frac{3\sqrt{3} - 8}{4} \right)$

Tap an option to check your answer.

1. A
   1124
2. B
   1324
3. C
   1024
4. D
   924

Tap an option to check your answer.

1. A
   $\frac{r}{2}$
2. B
   $r$
3. C
   $2r$
4. D
   0

Tap an option to check your answer.

1. A
   2
2. B
   0
3. C
   4
4. D
   Infinite

Tap an option to check your answer.

1. A
   $\frac{1}{18}$
2. B
   $\frac{1}{3}$
3. C
   $\frac{1}{6}$
4. D
   $\frac{1}{9}$

Tap an option to check your answer.

1. A
   3
2. B
   4
3. C
   2
4. D
   5

Tap an option to check your answer.

1. A
   is a singleton
2. B
   has exactly two elements
3. C
   has infinitely many elements
4. D
   has exactly three elements

Tap an option to check your answer.

1. A
   $4\left( \frac{31}{3} + \frac{8}{3}\log_{e}3 \right)$
2. B
   $\left( \frac{31}{3} + \frac{8}{3}\log_{e}3 \right)$
3. C
   $4\left( \frac{31}{3} - \frac{8}{3}\log_{e}3 \right)$
4. D
   $\left( \frac{31}{3} - \frac{8}{3}\log_{e}3 \right)$

Tap an option to check your answer.

1. A
   364
2. B
   240
3. C
   333
4. D
   360

Tap an option to check your answer.

1. A
   72
2. B
   12
3. C
   36
4. D
   6

Tap an option to check your answer.

1. A
   7
2. B
   9
3. C
   2
4. D
   1

Tap an option to check your answer.

1. A
   $11:4$
2. B
   $9:4$
3. C
   $3:1$
4. D
   $2:1$

Tap an option to check your answer.

1. A
   monotonic on $( - \infty,0) \cup (0,\infty)$
2. B
   not monotonic on $( - \infty,0)$ and $(0,\infty)$
3. C
   monotonic on $(0,\infty)$ only
4. D
   monotonic on $( - \infty,0)$ only

Tap an option to check your answer.

1. A
   11
2. B
   14
3. C
   16
4. D
   20

Tap an option to check your answer.

1. A
   $- \frac{1}{2}$
2. B
   $- \frac{1}{4}$
3. C
   0
4. D
   $\frac{1}{4}$

Tap an option to check your answer.

1. A
   $\frac{529}{64}$
2. B
   $\frac{125}{72}$
3. C
   $\frac{625}{72}$
4. D
   $\frac{585}{66}$

Tap an option to check your answer.

1. A
   $\rightarrow , \rightarrow$
2. B
   $\land , \vee$
3. C
   $\vee , \rightarrow$
4. D
   $\land , \rightarrow$

Tap an option to check your answer.

1. A
   20
2. B
   19
3. C
   18
4. D
   21

Tap an option to check your answer.

1. A
   $- 15 - 20\sqrt{3},15 - 20\sqrt{3}$
2. B
   $15 + 20\sqrt{3},15 - 20\sqrt{3}$
3. C
   $15 - 20\sqrt{3},15 + 20\sqrt{3}$
4. D
   $- 15 + 20\sqrt{3},15 + 20\sqrt{3}$

Tap an option to check your answer.