(Ans). (E)
(Question). The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 0
(C) 49
(D) 58
(E) 66
(CoT). It is clear that 22 x 48 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 66


(Ans). (E)
(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
(CoT). Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62


(Ans). (C)
(Question). The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 77
(C) 7
(D) 18
(E) 34
(CoT). Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7


(Ans). (A)
(Question).

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
In the following alphabet second half is written first and then the first half is arranged in reverse order.
Then which of the following will be the 5th letter to the left of 16th letter from the right?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Options:
(A) S
(B) Y
(C) U
(D) H
(E) K
(CoT). N O P Q R S T U V W X Y Z M L K J I H G F E D C B A
(16 + 5) = 21th letter from your right is S.