What is the side of the largest possible square brick which can be paved on the floor of a room 4m 96cm long and 4m 3cm broad?

• A. 9 cm
• B. 25 cm
• C. 31 cm
• D. 16 cm

Answer: (C)

Converting given measurements into centimeters             4m 96 cm = 400+96 = 496 cm              4m 3cm   = 400+3    =403 cmTo find the side of the largest possible brick , the side of brick must divide length as well as breadth exactly.            Using division method         403)496(1                403                  93) 403 (4                        370                           31) 93 (3                                 93                                   0HCF = 31      Side of the largest possible square brick =31cm