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A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
If the number of perfect square factors and perfect cube factors of 3000 is x and y respectively, then what is the ratio of the sum of total perfect square factors and the perfect cube factors to that of the total number of factors of 3000? Session Expired We will redirect you to login 1page in 5 secs. Please login again and resume your work
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.
The accompanying image shows a large cube made of dark and white small sugar cubes. Small cubes of the diagonally arranged row of the bottom surface of the large cube, small cubes of the row with one face on the right-hand surface of the large cube, small cubes of the row with one face on the front surface of the large cube, and small cubes of the column with one face on the top of large cube surface are all dark. Select the number of small white cubes of the large cube.
Find the smallest number by which 3600 is multiplied to make a perfect cube.
A and B are the largest two-digit co-prime numbers, whose digits are also co-prime to each other. If A + B is divided by 11, the remainder is r ? A. r2 is a perfect cube B. r + 1 is a perfect square C. r is a perfect cube D. r – 1 is a prime number
What is the smallest number that must be multiplied by 385875 to make it a perfect cube?
What is that least number that must be added to the product 684 × 686 to make it a perfect square?
What is that least number that must be added to the product 684 × 686 to make it a perfect square?
Four  matrices  M1, M2, M3 and M4 of dimensions p×q, q×r, r×s and s×t respectively can be multiplied in several ways with different number of total scalar multiplications. For example when multiplied as [(M1 × M2) × (M3 × M4)] the total number of scalar multiplications is  pqr + rst + prt. When multiplied as [((M1 × M2)× M3)) × M4], the total number of scalar multiplications is pqr + prs + pst. If p = 10, q = 100, r = 20, s = 5 and t = 80, then the minimum number of scalar multiplications needed is: