In how many different ways can the letters of the word 'DIVIDED' be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 420
(E) 360
Answer and stream of consciousness: (D)
Stream of consciousness: Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420

Find the third proportional to 2 and 10?
Options:
(A) 10
(B) 12
(C) 16
(D) 19
(E) 50
Answer and stream of consciousness: (E)
Stream of consciousness: Formula = Third proportional = (b b)/a
A = 2 and B = 10
(10 10)/ 2 = 100/2 = 50

3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?
Options:
(A) 46%
(B) 49%
(C) 57%
(D) 59%
(E) 61%
Answer and stream of consciousness: (A)
Stream of consciousness: Total number of votes polled = (6136 + 7636 + 11628) = 25400
So, Required percentage = 11628/25400 * 100 = 46%

The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 1299
(C) 1000
(D) 10000
(E) 11600
Answer and stream of consciousness:
(E)
Stream of consciousness: 100 * 100 = 10000
145 * 80 = 11600