CAT Exam Logical Reasoning Mathematical Reasoning

The sum of the factors of the number N and N^2 is 34. How many such distinct numbers N exist upto 150 ?

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CAT Other Question

How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?
(A)1, 6
(B)2, 7
(C)3, 5
(D)4, 3
(E)5, 3
A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer, and -1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than
[A] 6 [B] 12 [C] 3 [D] 9