question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 30
(C) 31
(D) 33
(E) 34
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (A).

q: Find the smallest number which should be multiplied with 1152 to make it a perfect square.
Options:
(A) 2
(B) 1
(C) 3
(D) 5
(E) 6
a: Stream of consciousness: 1152 = 2*2*2*2*2*2*2*3*3
Required smallest number = 2
2 is the smallest number which should be multiplied with 1152 to make it a perfect square. The answer is (A).

question: There are 9 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 4!*2!
(B) 7!*2!
(C) 6!*2!
(D) 2!*1!
(E) 5!*1!
answer: Stream of consciousness: Total number of ways = 6!*2!. The answer is (C).

q: Calculate the circumference of a circular field whose radius is 8 centimeters.
Options:
(A) 17 cm
(B) 18 cm
(C) 1 cm
(D) 16 cm
(E) 6 cm
a: Stream of consciousness: Circumference C is given by
C = 2r = 2*8 = 16 cm The answer is (D).

question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 22
(B) 88
(C) 27
(D) 89
(E) 287
answer: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (C).

question: Which one of the following is the least number of four digits divisible by 71?
Options:
(A) 1006
(B) 1065
(C) 1094
(D) 1056
(E) 1057
answer:
Stream of consciousness: 1000/71 = 14 6/71
1000 + 71 6 = 1065 The answer is (B).