A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 29
Answer and stream of consciousness: (E)
Stream of consciousness: (23/2) ( 2+3) * 2 = 29 =

Find the third proportional to 3 and 9?
Options:
(A) 10
(B) 12
(C) 27
(D) 19
(E) 20
Answer and stream of consciousness: (C)
Stream of consciousness: Formula = Third proportional = (b b)/a
A = 3 and B = 9
(9 x 9)/ 3 = 81/3 = 27

What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 757.48 = 443.095 + ?
Options:
(A) 870
(B) 790
(C) 680
(D) 770
(E) 890
Answer and stream of consciousness: (C)
Stream of consciousness: ? = 285 + 1895 755 745 or, ? = 680

45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?
Options:
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13
Answer and stream of consciousness:
(C)
Stream of consciousness: The intersection for two = 45 - 12 - 22 = 11 play both games.