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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
Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have?
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.
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
Let x be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which x should be multiplied to get a perfect square?
The number 3 divides X with a result of Y and a remainder of 2. The number 3 divides Y with a result of 2 and a remainder of 1. What is the value of X?
The number 3 divides X with a result to Y and a remainder of 2. The number 3 divides Y with a result of 2 and a remainder of 1. What is the value of X?
The number 3 divides 'a' with a result of 'b' and a reminder of 2. The number 3 divides 'b' with a result of 2 and 'a' reminder of 1. What is the value of 'a'?
Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let 'X' be the smallest initial number that results in a win for Amitabh. The sum of the digit of 'X' is: