Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks.
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks. Correct Answer Any one of them alone is sufficient.
Time taken by X and Y together to make 25% of total bricks = 4.8 days
Time taken by X and Y together to make 25% of total bricks = 4.8 × 4 = 19.2days
(1/X) + (1/Y) = (1/19.2) ----(1)
Total number of bricks made by Z in a day = 50
From I:
Total number of bricks = (72cm × 80cm × 50cm) / (3cm × 4cm × 5cm) = 4800
Total time taken by Z = 4800/50 = 96 days
Let number of days taken by X and Y alone is 3a and 2a respectively.
From equation (1)-
(1/3a) + (1/2a) = (1/19.2)
(2 + 3)/6a = (1/19.2)
a = 16
Time taken when X and Z work together =
1/ = 1/ = 32 days
Statement I alone is sufficient.
From II:
Total time taken by Z = 4800/50 = 96 days
Total time taken by Y = 4800/150 = 32 days
From equation (1)
(1/X) + (1/32) = (1/19.2)
(1/X) = (4/192)
X = 48 days
Time taken when X and Z work together =
1/ = 32 days
Statement II alone is sufficient.
From III:
Total number of bricks = (1.008 × 1003)/(5cm × 6cm × 7cm) = 4800
Total time taken by Z = 4800/50 = 96 days
Total time taken by Y = 96 × (100/300) = 32 days
From equation (1)
(1/X) + (1/32) = (1/19.2)
(1/X) = (4/192)
X = 48 days
Times taken when X and Z work together =
1/ = 32 days
Statement III alone is sufficient.