Practice Algebra Questions and Answers

• If a = 2 + √3, then the value of  (a6 + a4 + a2 + 1)/a3   is
• If x² + y² + z² = xy + yz + zy (x≠0), then the value of  (5x+3y-4z)/2x is 
• If (x+1/x)2 = 3 Then the value of  x96 + x66 + x42 + x18 + x12 + 1 is
• Find the value of ‘x’ in the given expression (49/16)x × (64/343)x-1 = 4/7
• The length of a rectangle is four times its breadth. If its length is increased by 20 cm and breadth is increased by 20 cm, the area of the rectangle is in...
• 48       24        24          48           ?    &...
• (44² × 16²) ÷ (184.8 ÷ 8.4) =? × 64 
• (288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)
• ? + (35)² = (130)² - (45)² - 2850
• √(92×8 ×52+700) = ?
• (408 × 680)÷(20% of 680) = (250 × 260)÷ 10 + ? – 4500 
• √4096 + √(?) + 13 – 29 = 148 
• 189500 – 22650 + 48× ? – 352×18 = 162674
• Rs. 25200 is invested in 3 parts in such a way that Simple Interest on 1st Part at 4% per annum for 3 years, Simple Interest on 2nd part at 6% per annum fo...
• A carriage travelling in fog passed along a man who was walking @ 6 km/hr in the same direction. He could see the carriage for 8 minutes and it was visible...
• `25(2/3)+11(1/9)+16(4/5)xx6(5/12)`  = ? - `632/45`
• If x = 15, find x5 - 16x4 + 16x3 - 16x2 + 16x - 16 = ?
• If x = (2+√3)/(2-√3), y = (2-√3)/(2+√3). Then find out the value of (x²+y²-xy)/(x²+y²+xy)?
• If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 – 3(a – 4 ) (b – 2 ) (c – 3)?...
• If   1/(x+ 1/(y+ 1/z))  = 13/30, then find  x+y+z= ?
• Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
• If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
• If a = 2 + √3, then the value of `(a^(6) + a^(4) + a^(2) + 1)/(a^(3))`    is
• Find the value of ‘x’ in the given expression: (49/16)x × (64/343)x-1 = 4/7
• If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
• If  x/y = 5/3, Find (x+y)/(x-y)?
• If  (a3+1)/(a+1) = (a3-1)/(a-1) and a ≠ 1, -1. Find the value of  'a'
• (a+2 )² + (b-5)² + (c+3)² = 0 Find the value of  √ (a + b + c) ?...
• Find the value of (1 -  `1/(p+1)` ) + (1 - `2/(p+1)`  ) + (1 - `3/(p+1)`  ) + ........................... + (1 -  `p/(p+1)` )
• If a + `1/b`  = 1  and b + `1/c`  =1  , then the value of c + `1/a`  is
• If  a2+2 = 2a then find a4 - a3 + 2a2 -2a+ 9 = ?
• If  {1/(y + 1) + 1/(y + 5)} = {1/(y + 2) + 1/(y + 4)}. Find the value of y 
• If  x = 19 , find x 5 - 20  x 4 + 20  x 3 - 20x 2 + 20x  - 20 = ?
• If x   = 107, then find the value of  x(x2 - 12x + 48)  ?
• If ( m+n  ) : √ (mn) = 4, m>n  , Then find the value of m : n ?
• Fing the value of: [(1024)(n/5) × (4)(2n+1) ] / [(16)n × (4)(n-1) ]
• Find the value of ‘x’ in the given expression: (49/16)x × (64/343)x-1 = 4/7