List-I (Idioms) | List-II (Meanings) |
(A) blow the gaff | (I) feel unable to deal with something |
(B) at the end of your tether | (II) feel terribly ashamed and embarrassed |
(C) be full of beans | (III) divulge a secret |
(D) want to curl up and die | (IV) be full of energy |
List-I (Idiom) | List-II (Meaning) |
---|---|
(A) To cool one’s heels | (I) with great difficulty |
(B) To bury the hatchet | (IV) to forget the enmity |
(C) By the skin of his teeth | (I) with great difficulty |
(D) To meet one’s Waterloo | (II) one’s final defeat |
The value of $ \frac{1}{1 + p^{(y-z)} + p^{(x-z)}} + \frac{1}{1 + p^{(x-y)} + p^{(z-y)}} + \frac{1}{1 + p^{(y-x)} + p^{(z-x)}}, $ is:
Simplify the following expression: $ \frac{2^{n+5} - 4 \cdot 2^{n}}{2 \cdot (2^{n+4})} $.