Recent puzzles under tag algebra

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An infinite geometric series has sum 2014. If the sum of their squares is also 2014, find the first term?

posted 4 hours ago by anonymous

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What is the greatest number of pieces you can buy for exactly Rs 50/-?

posted 1 day ago by Harshita Dhaliwal

+1 vote

If x=a+b+c then what is the value of (x-a)^3 + (x-b)^3 + (x-c)^3 - 3(x-a)(x-b)(x-c) = ?

posted 5 days ago by anonymous

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

posted Sep 4 by Mishthy Mukherjee

+1 vote

How do I write x times 7 is greater than or equal to 17 in algebraic expression?

posted Aug 26 by anonymous

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If one root of equation 5x^2 +13x + k = 0 is reciprocal of the other root, then what is the value of k?

posted Aug 26 by anonymous

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If log3 y = x and log2 z = x, then 72^x = ?

posted Aug 26 by anonymous

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Next three consecutive positive integers (after 1,2,3) where sum of individual cubes is equal to a perfect square?

posted Aug 16 by anonymous

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If x, y, z are natural numbers, then how many number of different solutions of the equation x+y+z=6 are possible?

posted Aug 6 by anonymous

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If 2x+2/x=3, then what is the value of x^3 + 1/x^3 + 2 = ?

posted Jul 31 by anonymous

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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 by anonymous

+1 vote

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

posted Jul 12 by Basabdatta Mukherjee

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

posted Jul 10 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 by anonymous

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How many boys and girls were in the group?

posted Jul 5 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 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