A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 122456
(B) 145778
(C) 456678
(D) 235467
(E) 220030

(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 So the answer is: (E).

At a meeting of the 3 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 3 Chiefs of Staff be seated around a circular table?
Options:
(A) 120
(B) 480
(C) 960
(D) 2520
(E) 5040

Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer C (960), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? So the answer is: (C).

What is the are of an equilateral triangle of side 16 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 643 cm2
(D) 645 cm2
(E) 143 cm2

Area of an equilateral triangle = 3/4 S2
If S = 16, Area of triangle = 3/4 * 16 * 16 = 643 cm2; So the answer is: (D).

How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
D = 110 + 150 = 260
S = 36 * 5/18 = 10 mps
T = 260/10 = 26 sec So the answer is: (E).