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Practice Algebra Questions and Answers

If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.
Find the value x2 + y2, if xy = 13 and x + y = 7.
Evaluate (998)3 without multiplying directly.
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) is ...
If (x + y) = 6 and (x2 + y2) = 20, then the value of (x – y)2 is equal to:
If a – b – c = 0, then the value of (a2 + b2 + c2)/(b + ac) is:
If a3 + b3 = 6240 and a + b = 30, then find the value of {(a + b)2 – 3ab}
If x2 – 8√2x + 1 = 0, then what is the value of x3 + 1/x3.
If A = (7)1/3 + (7) -1/3, then the value of {3A3 – 9A} will be:
If 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
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:
4, 10, 19, 30, 43, ?
105, 111, 123, 141, ?, 195
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?
If a + b + c = 5, a³ + b³ + c³ = 85 and abc =25, then find the value of a² + b² + c² – ab –bc – ca
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?
If x = 222, y = 223 and z = 224, then find the value of x³ + y³ + z³ – 3xyz

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