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Practice Algebra Questions and Answers

If x2 – 5x + 1 = 0, then find the value of {x2 + (1/x2)}.
If a + b + c = 12 and ab + bc + ca = 50, then find the value of a2 + b2 + c2.
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
In a class of 70 students and 25 teachers, each student got gifts that were 20% of total number of students and each teacher got gifts that were 10% of tot...
125 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. H...
A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively. The value giv...
If x + y = 2 and 1/x + 1/y = 18/15, then find the value of (x3 + y3)?
If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C) is:...
If polynomial P(x) = x3 - 3x2 + 5x-3 is divided by polynomial G (x) = x2 - 2, the quotient and remainder are:
Out of total number of people in an office, 40% are males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of numbe...
Before servicing, a car runs at a speed of 25 km/hr while after servicing, it runs at a speed of 50 km/h. After servicing the car covers a certain distance...
If (x + y) = 35, then find the value of (x - 10)6 + (y - 25)6.
A shopkeeper marked his article 25% above its cost price and offered a discount of 30%. If cost price of the article is Rs. 560, then find profit or loss o...
Atul has Rs.500 with him. He invested 30% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 4 years. Find the sum of simple interests received ...
Average marks scored by Vineet in five subjects are 60. The average marks scored by him (excluding his highest and lowest marks) are 50 and lowest marks sc...
when x =5 and y =-7 then find the value of 27x³ +58x²y +31xy² +8y³?
What is the simplified form of the expression? (1 + x) (1 + x²) (1 + x⁴) (1 + x⁸) (1 – x)? A.(1-x40) B.(1-x16) C.(1-x 48) D.(1-x32)...
If 4x² + y² = 40 and x y = 6, then find the value of 2x + y?
If a + b + c = 6, a² + b² + c² = 14 and ab + bc+ ca = 11, then what is the value of a³ + b³ +c³ –3abc?
Which of the following statements is correct? I. If x = 12, y = –2 and z = –10, then x³ + y³ + z³ = 360 II. If x + y = 48 and 4xy = 124, then 4x² +...
If a = 901, b= 903, and c= 906, then find the value of a³ + b³ +c³ –3abc?
Which of the following statements is correct? I. If x = 12, y = –2 and z = –10, then x³ + y³ + z³ = 720 II. If x + y = 48 and 4xy = 124, then 4x² +...
If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
If x = 8.15, y = 9.06 and z = –17.21, then the value of x³ + y³ + z³ – 3xyz is:
If x + y + z = 10 and x² + y² + z² = 36, then what is the value of x y + y z + z x?
The certain sum amounts to Rs11313.5 in 2(1/2) years at 12% p.a., interest compounded 10 months. The sum (in Rs) is:
If 4x² + y² = 25 and x y = 6, then find the value of 2x + y?
If a + b + c = 8, a² + b² + c² = 18 and ab + b c+ ca = 12, then what is the value of a³ + b³ +c³ –3abc?
If a + b + c = 5, a³ + b³ + c³ = 95 and abc =15, then find the value of a² + b² + c² – ab –bc – ca
If a = 701, b= 703 and c= 706, then find the value of a³ + b³ +c³ –3abc?
If x + y + z = 30, x² + Y² + z² = 460 and x z = y², then find the value of x z?
If 3y-3/y=18 then find the value of y² +1/y²
Find the 36th term of the series 25, 29, 33……
if √1+x/121 = 13/11 then find the value of x.
If the ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4, then the ratio of the lengths of their bases will be

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