Rationale: Mother has a fixed place and father, so there are 2! ways to arrange the children, hence
The answer: (A)
Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Rationale: (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050
The answer: (E)
Question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220050

Rationale: Avg = [(x+1)^2 + (x-1)^2] / 2
Expanding and simplifying, (x^2 + 2x + 1 + x^2 -2x + 1 ) / 2 = x^2 + 1
The answer: (B)
Question: Which of the following is equal to the average (arithmetic mean) of (x+1)^2 and (x-1)^2?
Options:
(A) x^2
(B) x^2+1
(C) x^2 +4
(D) x^2+2x
(E) x^2+4x