Recent puzzles under tag algebra

0 votes

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

posted Apr 19, 2018 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, 2018 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, 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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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

+1 vote

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

posted Mar 8, 2018 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, 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

+1 vote

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

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

posted Jan 11, 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

0 votes

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

+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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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

+1 vote

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