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 : Directions: Select the correct option that indicates the arrangement of the following terms in a logical and meaningful order.
1. Answer writing
2. Answer book
3. Admit card
4. Question paper
5. Examination form

Option 1: 3–5–2–4–1

Option 2: 5–3–2–4–1

Option 3: 3–2–4–1–5

Option 4: 5–2–3–1–4

Question : Directions: Select the correct option that indicates the arrangement of the following words as they appear in an English dictionary.
1. Boatyard
2. Boathouse
3. Boater
4. Boatman
5. Boating

Option 1: 2–5–3–1–4

Option 2: 3–2–5–1–4

Option 3: 3–2–5–4–1

Option 4: 2–3–5–4–1