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Practice Algebra Questions and Answers

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
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
A boat covers 540 km upstream and downstream in 't' time. If the speed of the stream is 8 km/h and the speed of the boat is 10 km/h then find the value of ...
If a3 — b3 = 602 and a— b = 2, then find the value of( a2 + b2)
22% of ‘x’ is equal to 66% of ‘y’, then find the value of x: y.
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
A sum of Rs. 25,000 is invested in SIP 'G' which offers 7% p.a. simple interest for 7 years. The interest received from SIP 'G' is invested in SIP 'H' whic...
For a =-4 and b = 5, value of a² – b² is:
Present age of Vikrant is 20% less than the present age of Priya. Age of Vikrant 5 years ago was 50% the present age of Priya. Find the present average age...
A boat covers a distance of 75 km downstream in 2.5 hours. If the ratio of upstream speed to downstream speed of the boat is 3:5, then find the distance tr...
Three mixtures: A, B, and C containing 25%, 35%, and X% of water, respectively. If all these mixtures are mixed in the ratio of 1:3:2 to form a resultant m...

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