Question : Directions: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
Option 1: 12
Option 2: 22
Option 3: 21
Option 4: 24
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Correct Answer: 21
Solution : Given: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
The position values of A, F, and I are 1, 6, and 9 respectively. On combining the place values, we get 169. Now, $\sqrt{169}\ =\ 13$ Thus, $\sqrt{AFI}$ is coded as 13. Similarly, follow the same pattern for $\sqrt{DDA}\ :\ ?$ – The position values of D, D and A are 4, 4 and 1 respectively. On combining the place values, we get 441. Now, $\sqrt{441}\ =\ 21$
Thus, $\sqrt{DDA}$ is coded as 21. Hence, the third option is correct.
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Question : If $\cos \theta=\frac{9}{13}$, then what is the value of $\operatorname{cosec} \theta$?
Option 1: $\frac{13}{\sqrt{22}}$
Option 2: $\frac{13 \sqrt{22}}{44}$
Option 3: $\frac{2 \sqrt{22}}{13}$
Option 4: $\frac{\sqrt{22}}{13}$
Question : If $x^{4}+\frac{1}{x^{4}}=119$, then the values of $x^{3}+\frac{1}{x^{3}}$ are:
Option 1: $\pm 10\sqrt{13}$
Option 2: $\pm \sqrt{13}$
Option 3: $\pm 16\sqrt{13}$
Option 4: $\pm 13\sqrt{13}$
Question : Directions: If DEAR is coded as 6 – 8 – 3 – 21, how will you code TRACK?
Option 1: 22 – 21 – 3 – 6 – 11
Option 2: 22 – 21 – 3 – 6 – 13
Option 3: 22 – 21 – 4 – 5 – 10
Option 4: 20 – 21 – 3 – 6 – 17
Question : Directions: If P means ×, Q means +, R means ÷, and S means –, then 56 R 8 Q 13 S 42 R 21 P 5 = ?
Option 2: 8
Option 3: 24
Option 4: 10
Question : Directions: In the following question, select the missing number from the given responses. If (7 × 8 )/9 = 3; (8 × 9)/144 = 12; (10 × 11)/169 = 13; then (12 × 13)/441 = ?
Option 1: 196
Option 2: 225
Option 3: 144
Option 4: 21
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