Practice Algebra Questions and Answers

• If  (x 3/2  - x.y 1/2 + x 1/2 .y-y 3/2 )  is divided by  (x 1/2 -y 1/2 ) ,  the quotient  is: ...
• If the 14th term of an arithmetic series is 6 and 6th term is 14, then what is  the 95th term?
• If P3 + 3P2 + 3P = 7, then the value of P2+ 2P  is – ...
• If a + b + c + d = 4,  then the value of   ...
• If (x² + 1)/x = 3, what is the value of (x¹² + 1)/x ⁶ ?
• If for non-zero x, x² - 4x - 1 = 0, what is the value of x² + 1/x²?
• What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
• What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
• If x3 + y3 = 9 and x + y=3 then the value of x4 + y4 is:
• If x = 15 find x 5 - 16 x 4 + 16 x 3 - 16 x 2 + 16 x  - 16 = ?
• If x = (2+√3)/(2-√3), y = (2-√3)/(2+√3) Then find out the value of (x²+y²-xy)/(x²+y²+xy)
• x = 7 - 4√3 then the value of x³+1/x³ is equal to?
• Find ‘x’ if (x³+3x)/(3x²+1) = 189/61
• If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
• In a club of singers and dancers, 10% of the artists are absent on a particular day and 90% of the present artists are dancers. If 2,250 singers are presen...
• If  x = √7 + √6 and  y =  √7 - √6 , then the value of  is (x2 + y2)/(x3 + y3)....
• If  x = a(b - c), y = b(c – a) and z = c(a - b) , find the value of  (x/a)3 + (y/b)3 + (z/c)3?
• If ab + bc + ca = 0 Find the value of 1/(a2 - bc) + 1/(b2 - ca)  + 1/(c2 - ab)
• If x² + x = 11 find (x+4)³ +1/((x+4)³)
• 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= ?