Recent puzzles under tag algebra

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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 by anonymous

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What is the value of X?

posted Jun 15 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 by anonymous

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How many factors of 1907980272 are even numbers?

posted Jun 7 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 by Varuna Magar

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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 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 by anonymous

+1 vote

The temperature on a unit sphere x^2 + y^2 + z^2 = 1, is given by a temperature distribution T(x,y,z) = 50.(xy + yz)...

posted May 24 by Rahul Chandel

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

posted May 23 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 by Samardeep Acharya

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If A != B and A^n + B^n is an integer for all positive integers n, must A and B both be the integers? [MCQ]

posted May 17 by Mohammad

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If a^b = 1; b^c = 2 and c^a = 3 and a,b,c are rational number then what is a + b + c = ?

posted May 16 by anonymous

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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 by anonymous

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

posted May 2 by anonymous

+2 votes

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

posted Apr 30 by anonymous

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Find the minimum value of n such that the equation 10^n/x = 1989 has an integer solution x where n is a natural number?

posted Apr 25 by anonymous

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What is the coefficient of x^203 in the expression: (x-1)(x^2-2)(x^3-3)...(x^20-20)

posted Apr 22 by anonymous

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Find the value of each and then find the value of the missing number.

posted Apr 19 by Akriti

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A line makes angles A, B, C, D with four diagonals of a cube, then find value of Cos^2 A + Cos^2 B + Cos^2 C + Cos^2 D

posted Apr 7 by anonymous

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Let a1 and a2 be the roots of equation (x- a)(x - b) = c then what are the roots of equation (x - a1)(x - a2) + c = 0?

posted Apr 1 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 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 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 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 by anonymous

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

posted Mar 12 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 by anonymous

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

posted Mar 12 by anonymous

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

posted Mar 9 by Bharadwaj Dasu

+1 vote

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

posted Mar 8 by anonymous

+1 vote

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 by anonymous

+1 vote

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

posted Feb 27 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 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 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 by anonymous

+1 vote

If 5.23457457457...=a/b then find the value of a and b?

posted Jan 30 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 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 by anonymous

+1 vote

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

posted Jan 11 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 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 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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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