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Let x and y be positive real numbers such that
log_{5} (x + y) + log_{5} (x – y) = 3, and log_{2} y – log_{2} x = 1 – log_{2} 3. Then xy equals
(2019)
If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be
(2019)
If (2n + 1) + (2n + 3) + (2n + 5) + ... + (2n + 47) = 5280, then what is the value of 1 + 2 + 3 + ... + n?
(2019)
Let A be a real number. Then the roots of the equation x^{2} – 4x – log_{2}A = 0 are real and distinct if and only if
(2019)
Let a_{1}, a_{2}, ... be integers such that a_{1} – a_{2} + a_{3} – a_{4} + ... + (–1)^{n–1}. an = n, for all n ≥ 1.
Then a_{51} + a_{52} + . . . + a_{1023} equals
(2019)
Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is
(2018)
If x is a positive quantity such that 2^{x} = 3log _{5}^{2}, then × is equal to
(2018)
Given that X^{2018}Y^{2017} = 1/2 and X^{2016}Y^{2019} = 8, the value of x^{2} + y^{3} is
(2018)
If log2(5 + log_{3} a) = 3 and log5(4a + 12 + log_{2} b) = 3, then a + b is equal to
(2018)
Let a_{1}, a_{2}...., a_{2n} be an arithmetic progression with a_{1} = 3 and a_{2} = 7. If a_{1} + a_{2} + ... + a_{3n }= 1830, then what is the smallest positive integer m such that m(a_{1} + a_{2 }+ ... + a_{n}) > 1830?
(2017)
If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is
(2017)
The value of log _{0.008} √5 + log _{√3} 81  7 is equal to
(2017)
Two positive real numbers, a and b, are expressed as the sum of m positive real numbers and n positive real numbers respectively as follows:
a = s_{1} + s_{2} +…+ s_{m} and b = t_{1} + t_{2} +…+ t_{n}
If [a] = [s_{1}] + [s_{2}] +…+ [s_{m}] + 4 and [b] = [t_{1} ] + [t_{2} ] +…+ [t_{n}] + 3,
Where [x] denotes the greatest integer less than or equal to x, what is the minimum possible value of m + n?
(2016)
P_{1}, P_{2}, P_{3}, ..., P_{11} are 11 friends. The number of balls with P_{1 }through P_{11} in that order is in an Arithmetic Progression. If the sum of the number of balls with P_{1}, P_{3}, P_{5}, P_{7}, P_{9} and P_{11} is 72, what is the number of balls with P_{1}, P_{6} and P_{11} put together?
(2014)
If log_{3}2, log_{3}(2^{x} – 5) and log_{3} are in Arithmetic Progression, then x is equal to
(2014)
A ray of light along the line gets reflected on the xaxis to become a ray along the line
(2014)
If where p ≤ n, then the maximum value of X for n = 8 is :
(2014)
If x + y = 1, then what is the value of (x^{3} + y^{3} + 3xy)?
(2012)
If log_{16}5 = m and log_{5}3 = n, then what is the value of log_{3}6 in terms of ‘m’ and ‘n’?
(2011)
If a = b^{2} = c^{3} = d^{4} then the value of log_{a} (abcd) would be :
(2010)
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43 docs31 tests

Test: Percentage, Profit And Loss Test  30 ques 
Test: Geometry Test  30 ques 
Test: Mensuration Test  20 ques 
Test: Time, Distance & Work Test  30 ques 
Test: Permutation, Combination & Probability Test  10 ques 