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If x and y are positive integers, what is the remainder when y is divided by x?
If a, b and x are integers such that , what is the value of a  b
A function for positive integers x and y. Is F(a, b) > a, where a and b are positive integers?
Is the sum of x^{y} and y^{x} positive?
(1) xy > 0
(2) x + y > 0
What is the remainder obtained when 10^{10} + 10^{5} – 24 is divided by 36?
The distance between celestial bodies is expressed in terms of light years, where 1 light year is the distance travelled by light in one year and is equal to 9.46 X 10^{17 }centimetres. If light takes 499 seconds to travel from the Sun to the Earth, which of the following is the closest to the distance, in million kilometres, between the Earth and the Sun?
James deposited $1,000 each in two investment schemes X and Y. Scheme X doubles the invested amount every 7 years and scheme Y doubles the invested amount every 14 years. If James withdraws $500 from scheme X at the end of every 7th year, how many years will it take for the total amount invested in schemes X and Y to amount more than $40,000?
If x is a positive integer less than 100 such that x is divisible by 2^{y}, where y is a positive integer, what is the value of y?
Does a^{b} lie between 0 and 1, exclusive?
(1) a < 1
(2) b is a positive odd integer
Z=2^{a}×5^{b}×7^{c}
A positive integer Z can be expressed in terms of its prime factors as above, where a, b and c are positive integers. Is 3^{a−b}<9?
(1) Z is divisible by 40 but not by 50
(2) Z^{a−b}=2^{6}×5^{2}×7^{4}
What is the maximum possible power of 4 in the number that is obtained when the product of the first 15 positive integers is subtracted from the product of the first 20 positive integers?
For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD (15) completely?
I. 3^{8}
II. 5^{5}
III. 7^{3}
If x and y are distinct positive integers, such that
What is the value of (x)^{(y+1)} ?
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95 videos84 docs107 tests
