Question : If $p=\frac{5}{18}$, then $27p^{3}–\frac{1}{216}–\frac{9}{2}p^{2}+\frac{1}{4}p$ is equal to:

Option 1: $\frac{4}{27}$

Option 2: $\frac{5}{27}$

Option 3: $\frac{8}{27}$

Option 4: $\frac{10}{27}$

Question : Three cars travelled a distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is:

Option 1: 3 : 9 : 1

Option 2: 1 : 3 : 9

Option 3: 1 : 2 : 4

Option 4: 4 : 3 : 2

Question : The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will the ratio become if six is added to each?

Option 1: 9 : 14

Option 2: 5 : 7

Option 3: 5 : 9

Option 4: 7 : 9

Question : If A : B = 3 : 4 and B : C = 6 : 5, then A : ( A + C) is equal to:

Option 1: 9 : 10

Option 2: 10 : 9

Option 3: 9 : 19

Option 4: 19 : 9

Question : Directions: In a certain code language, GOURD is written as 21–4–5–10–24. How will BRINJAL be written in the same code language?

Option 1: 2–10–3–14–18–1–12

Option 2: 26–10–3–14–18–1–16

Option 3: 26–10–5–14–18–2–16

Option 4: 25–9–3–14–18–1–15