Suppose the words GATE, FAST, SAND and READ can be written in numbers as 2938, 6921, 0798 and 5917, but not necessarily in that order. The positions of the letters in a word and the corresponding digits in the respective number are the same. Then the word NEGATE will be written as

Correct option is C

Solution:
The common letter in all four words is A. The common digit in all four numbers is 9. So, A = 9.
Now check which number has 9 in the third position (since A is the third letter in READ).
Only 0798 has 9 in the third position. So, READ = 0798 R = 0, E = 7, A = 9, D = 8
Now check GATE (A is third letter): GATE = 5917 fits G = 5, A = 9, T = 1, E = 7
Now check FAST: FAST = 6921 fits F = 6, A = 9, S = 2, T = 1
Remaining word: SAND = 2938 S = 2, A = 9, N = 3, D = 8
Now write NEGATE:
N = 3 E = 7 G = 5 A = 9 T = 1 E = 7
So, NEGATE = 375917
Correct answer:
(c) 375917