Question : The greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$

Option 1: $\frac{7}{8}$

Option 2: $\frac{11}{15}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{2}{3}$

Question : In ΔABC with sides 8 cm, 9 cm and 12 cm, the angle bisector of the largest angle divides the opposite sides into two segments. What is the length of the shorter segment?

Option 1: $5 \frac{11}{17} {~cm}$

Option 2: $4\frac{11}{17} {~cm}$

Option 3: $6\frac{13}{17} {~cm}$

Option 4: $3\frac{9}{17} {~cm}$

Question : The sides of a triangular field are 62 m, 186 m, and 279 m. Find the greatest length of tape that would be able to exactly measure each of them without any fractions.

Option 1: 62 m

Option 2: 93 m

Option 3: 31 m

Option 4: 30 m

Question : Find the greatest number that exactly divides 15, 30, and 40.

Option 1: 3

Option 2: 40

Option 3: 5

Option 4: 15

Question : Arrange the given ratios in descending order
15 : 7, 5 : 11, and 21 : 77.

Option 1: 21 : 77 > 5 : 11 > 15 : 7

Option 2: 15 : 7 > 5 : 11 > 21 : 77

Option 3: 15 : 7 > 21 : 77 > 5 : 11

Option 4: 5 : 11 > 15 : 7 > 21 : 77