CAT Exam

Both roots of Quadratic eqn x^2-49x+a=0 are prime numbers. How many different values of a are possible?and what is/are the value of a may be possible?

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CAT Other Question

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least
a. 5
b. 103
c. 6
d. Cannot be determined HOW IT WILL BE SOLVED?
N is a positive integer ,which when divided by 16 ,17,18 giver remainders of 6,7,8 resp.find the rem when N^2+5N+6 is divided by 12