​At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together ?

Correct option is D

Given:

7 and 8 o'clock will the hands of a clock be in the same straight line but, not together.

Formula Used:

$$\theta= |30H - \frac{11}{2}M|$$

Where;

H is hand,

M is minutes

Logic: 

$$\theta = 180\degree$$

H = 7 

​$$180\degree = |30\times 7 - \frac{11}{2}M|$$

$$180 = 210 - \frac{11}{2}M$$

$$\frac{11}{2}M = 210 - 180$$

$$\frac{11}{2}M = 30$$

$$M = \frac{60}{11}$$

M = $$5\frac{5}{11}$$ minutes

Thus, the correct answer is (d).