question: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2345
(B) 2790
(C) 3490
(D) 7389
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).


q: If x is a positive odd integer and y is a negative even integer, which of the following must be true?
Options:
(A) x^3 + y is a positive odd integer
(B) x^2 + y^2 is a negative odd integer
(C) x^0 + y^11 is a negative odd integer
(D) x + y is a positive odd integer
(E) x + y is a negative odd integer
a: Stream of consciousness: Anything power 0 is always 1 and given that Y is even and negative, then
1 + (-2) will be negative with odd power values for Y. The answer is (C).


question: Find the mean proportional between 25 & 36?
Options:
(A) A) 59
(B) B) 30
(C) C) 63
(D) D) 65
(E) E) 67
answer: Stream of consciousness: Formula = √a×b
A = 25 and B = 36
√25×36 = 5 × 6 = 30 The answer is (B).


q: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 49
(B) 88
(C) 25
(D) 18
(E) 11
a: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs The answer is (A).


question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 25
(C) 40
(D) 46
(E) 48
answer: Stream of consciousness: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).


question: Find the odd man out? 3, 7, 15, 17, 22, 27, 29
Options:
(A) 15
(B) 17
(C) 22
(D) 27
(E) 0
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: Each of the numbers is odd number except 22. The number 22 is the only even number. The answer is (C).