Recent puzzles under tag algebra

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What is the remainder in terms of x when x^1999 is divided by (x^2 - 1)?

posted Apr 1, 2018 by anonymous

+1 vote

If a + b + c = 7, a^2 + b^2 + c^2= 35 and a^3 + b^3 + C^3 = 151 then find the value of abc?

posted Apr 1, 2018 by anonymous

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L.C.M of two numbers is 156 and their H.C.F is 2. If the sum of the numbers is 38, then what is their difference?

posted Mar 13, 2018 by anonymous

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Find the remainder when 23^23 is divided by 53?

posted Mar 12, 2018 by anonymous

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If 2014 ^ 2014 mod 7 = n mod 7 where 0<= n <= 7 then what is n?

posted Mar 12, 2018 by anonymous

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What is the remainder when 19^92 is divided by 92?

posted Mar 12, 2018 by anonymous

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Area bounced by the curve xy^2=a^2 between (a-x) and y-axis?

posted Mar 9, 2018 by Bharadwaj Dasu

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1/2! + 2/3! + 3/4! + 4/5! ...= ?

posted Mar 8, 2018 by anonymous

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If a^b - c ^d = 2018 where a, b, c and d are distinct primes a<b and c < d then find a + b + c + d = ?

posted Mar 3, 2018 by anonymous

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What is the value of (n!)^1/n where n tends to the infinity?

posted Feb 27, 2018 by anonymous

+1 vote

Initially, 60% of all attendees in a school party were girls. A while later, with 8 girls and 12 boys gone...

posted Feb 21, 2018 by anonymous

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Below is a multiplication table up to y*y. Find y such that the sum of all the products in the table equals 44488900?

posted Feb 6, 2018 by anonymous

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Find the middle term of the sequence formed by all three digits numbers which leave a reminder 3, when divided by 4....

posted Jan 30, 2018 by anonymous

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If 5.**********...=a/b then find the value of a and b?

posted Jan 30, 2018 by anonymous

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If a^2−b^2=2352 and a^2+b^2=5090 then what is the value of 29ab?

posted Jan 30, 2018 by anonymous

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If a^2−b^2=2352 and a^2+b^2=14210 then what is the value of 13ab?

posted Jan 23, 2018 by anonymous

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Find the number of positive integral solutions for a,b,c such that a.b.c = 45?

posted Jan 11, 2018 by anonymous

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True or False: 1/0! + 1/1! + 1/2! + 1/3!.... = 0/0! + 1/1! + 2/2! + 3/3!....

posted Jan 9, 2018 by anonymous

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If C is coefficient of x^2 in the equation (1-x)(1+2x)(1-3x)(1+4x)...(1+14x)(1-15x) , fine the value of |C|

posted Jan 4, 2018 by anonymous

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x is a positive integer such that the sum of its digits times 5 equals itself. What is x?

posted Dec 15, 2017 by anonymous

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a^2 + b^2 = ab, a = b = 0 satisfies the equation. But is there another pair of real numbers satisfying this equation? [MCQ]

posted Dec 15, 2017 by anonymous

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x, y, z are integer. How many solution for (x, y, z) we get from this equation: x.y.z=2017 [MCQ]

posted Nov 26, 2017 by anonymous

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What is the smallest positive integer n such that x^n - 1 is factored into precisely five irreducible factors?

posted Nov 26, 2017 by anonymous

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How many apples were in the crate originally?

posted Nov 13, 2017 by Varuna Magar

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If r is a root of the equation x^2 + 2x+6 = 0 then what is the value of (r+2)(r+3)(r+4)(r+5)?

posted Nov 12, 2017 by anonymous

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if a,b,c,d are positive real numbers and a^2+b^2=c^2+d^2=2 then what is the max value of ac+bd?

posted Nov 9, 2017 by anonymous

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What is the sum of all the real roots of the equation: |x−2|^2+|x−2|−2=0

posted Nov 6, 2017 by anonymous

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Take number 1000 and then add 20 to it. Now add 1000 one more time. Now add 30. Now add.............What is the total?

posted Oct 11, 2017 by Tapesh Kulkarni

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What is the range of the values of k such that k Cos A - 3 Sin A = k + 1 has a real solution?

posted Oct 6, 2017 by anonymous

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How many factors of ********** are perfect squares and which are those factors?

posted Sep 20, 2017 by anonymous

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If a/b + b/a = 1 then what is the value of a^3 + b^3 = ?

posted Sep 7, 2017 by anonymous

+1 vote

If x^3+y^3+z^3 = x^2+y^2+z^2 = x+y+z = 1 then what would be the max value of xyz?

posted Sep 7, 2017 by anonymous

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If x(x+y) = y(y+z) = z(z+x) and x,y,z are positive integers, then is it definitely true that x=y=z?

posted Sep 1, 2017 by anonymous

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Find the value of: (7)^1.35 * (13)^0.35 * (91)^0.65 = ?

posted Aug 18, 2017 by anonymous

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If 273xy is divisible by 80 then what will be value of (x + y)?

posted Aug 7, 2017 by anonymous

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If x + 1/x = 4 then what is x^3 + 1/x^3 = ?

posted Aug 1, 2017 by anonymous

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How many factors of 878800000 are perfect squares and which are those factors?

posted Jul 19, 2017 by anonymous

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If 5^x * 2^3 = 36 then find 5^(x+1) =?

posted Jul 4, 2017 by anonymous

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Find the number of ordered pairs (x,y) satisfying the system of equations - a) x+y^2 = 12 b) x^2 + y = 12

posted Jun 27, 2017 by anonymous

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If a + b + c = 8 and a.b.c = 27 then is there exist solution/s in (a,b,c) where a, b and c are positive real numbers?

posted Jun 16, 2017 by anonymous

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Find sum of all the positive integral values of x and y such that 2^x + 3^y is a perfect square?

posted Jun 9, 2017 by anonymous

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Find the number of distinct fractions a/b, where both a & b are integers with 0<=a<=b<=50 and gcd(a,b) = 1?

posted Jun 9, 2017 by anonymous

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Given that A is a matrix of order 5x3 and B is a matrix of order 3x5, then what is the value of |C| if A x B = C?

posted May 29, 2017 by anonymous

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Which of the statements given is/are correct?

posted May 22, 2017 by anonymous

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x and y are 2 digit numbers where y is obtained by reversing x. If x^2 - y^2 = m^2 then find the value of x+y+m?

posted May 22, 2017 by anonymous

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How many positive integers n have the property that the remainder of dividing 2003 by n is equal to 23?

posted May 15, 2017 by Pushpak Chauhan

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If x+1/x=-1 then x^2016+1/x^2016=?

posted May 7, 2017 by anonymous

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Find the angle in which these two curves intersect each other: 1) xy=1 2) x^2-y^2=1

posted May 4, 2017 by anonymous

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If X - Y = XY = 10 then find the value of X^4 + Y^4

posted May 4, 2017 by anonymous

+1 vote

If ONE = $1, TWO = $2 and ELEVEN = $11 then what will be the worth of TWELVE?

posted Apr 30, 2017 by Tejas Naik