Most answered puzzles under tag algebra

0 votes

If one of the roots of the quadratic equation 2x^2 + px + 4 = 0 is 2, then what is the other root of the equation?

posted Jul 31, 2018 by anonymous

+1 vote

How many days will 15 women and 5 men take to do it?

posted Jul 12, 2018 by Basabdatta Mukherjee

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If A = 3 and B = 4 + i, A/B = ?

posted Jul 10, 2018 by anonymous

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What would be the reminder when x^1001 - 1 is divided by x^4 + x^3 + 2x^2 + x + 1?

posted Jul 5, 2018 by anonymous

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How many boys and girls were in the group?

posted Jul 5, 2018 by Tapesh Kulkarni

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Find the number of positive integral ordered pairs a, b satisfying the equation a^b + b^a = 100

posted Jun 16, 2018 by anonymous

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What is the value of X?

posted Jun 15, 2018 by Aman

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If a^2 + b^2 + C^2 = 9 then what is the max value of 2(a + b + c) - abc where a,b,c are real numbers?

posted Jun 7, 2018 by anonymous

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How many factors of ********** are even numbers?

posted Jun 7, 2018 by anonymous

+1 vote

If a,b and c are positive real numbers, such that (1+a)(1+b)(1+c) = 8 then the maximum value of a.b.c

posted May 31, 2018 by Varuna Magar

+1 vote

If integers x and y are such that xy+1 is divisible by 24 then is x+y also divisible by 24?

posted May 31, 2018 by anonymous

+1 vote

A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?

posted May 25, 2018 by anonymous

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If log 27 = 1.935, then what is the value of log 9

posted May 23, 2018 by anonymous

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What would be the sum of all positive integers n such that 20n and 5n+275 both are perfect squares?

posted May 21, 2018 by Samardeep Acharya

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What is the least positive integer n such that n!(n+1)!(2n+1)! - 1 yields a number ending with thirty digits of 9's?

posted May 3, 2018 by anonymous

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What is the domain of the function log(log(sinx))?

posted May 2, 2018 by anonymous

+2 votes

Find natural number n such that (5n)! has 2018 trailing 0's?

posted Apr 30, 2018 by anonymous

+1 vote

If the difference between the roots of the equation x^2 + px + 8 = 0 is 2 then what is the possible value if P?

posted Apr 1, 2018 by anonymous

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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

+1 vote

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

posted Mar 12, 2018 by anonymous

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

posted Mar 8, 2018 by anonymous

+1 vote

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

+1 vote

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

+1 vote

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

+1 vote

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

+1 vote

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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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

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

posted Aug 1, 2017 by anonymous

+1 vote

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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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