Exams

 Vowels are A I A I O, 

 C    A   S    T   I    G   A    T   I    O   N

(O) (E) (O) (E) (O) (E) (O) (E) (O) (E) (O)

So there are 5 even places in which five vowels can be arranged and in rest of 6 places 6 constants can be arranged as follows :

n(E)=5P52!*2!(A,I are 2 times)*6P62!(T is 2 times)=21600

n(S)=11!2!*2!*2!(A, I are 2 times)=4989600

216004989600=0.043

DESIGN = 6 letters

No consonants appear at either of the two ends. 

= 2 x 4P4 =  2 x 4 x 3 x 2 x 1=  48

Blueberries are the saddest fruits.

Reason ::

In English some colors are associated with feelings. Blue is associated with sadness. When you "feel blue" it means that you are feeling sad.

Hence, as blueberries has blue in its name it indicates that that is the saddest fruit in logic.

The phrase ‘between the cup and lip’ needs to be replaced with ‘between the cup and the lip’. It means a situation where things did not happen at the last minute the way they were expected to due to unforeseen reasons. Thus, the correct formation would be, ‘There is many a slip between the cup and the lip’.