Practice Algebra Questions and Answers

• 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...
• if 2x +3y =7 and 2x+2 -3y+2 =7, then find the value of x and y.
• Find the value of the given expression- (4x+4 -5× 4x+2) / 15×4x – 22×4x
• What is the value of (a² + b²+4c²- ab-2bc-2ca) (a + b+2c):
• If a+1/a =9, then a5+1/a5 is equal to:
• 3x +3y =10 and 3x+y =5 then find the value of 3x-y +3y-x.
• If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
• If 5x - 13xy + 6y = 0, find x : y.
• If x =7+4√3. then find the value of x +1/ x
• Which of the following options gives the value of 2999² – 999²?
• If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
• when x =4 and y =-6 then find the value of 27x³ +58x²y +31xy² +8y³?
• If sin 28° = 15/17 , then tan 62° = ?
• The coefficient of ‘b2’ in (3a + b)3 is
• If (a + b) = 7 and ab = 9, then find the value of (a2 + b2).
• If x:y:z = 3:4:6, and (5x + 3z) = 132, then find the value of '3y'.
• If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?
• In a best-of-two chess match between Player X and Player Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses a g...
• What is the average of the first 20 multiples of 12?
• If 112 ÷28 x 22 –12 x 6 ÷ 3 +12 = z, then find the value of z.
• Find the number in place of ? 6, 14, 26, ?, 106, 214
• If there are a total of 1000 students in the school, how many students prefer Mathematics and science?
• A dishonest dealer claims to sell goods at cost price but uses a false weight of 900g instead of 1kg. What is his profit percentage?
• A train takes 25 seconds more to cross a 750 metres long platform than it does to cross a 350 metres long bridge. If the time taken by the train to cross a...
• If, p³ + q³= 485 and (p + q = 5), then find the value of [(1/p) + (1/q)]
• If 2x + y = 15 and xy = 18, then the value of (4x² - y²)
• A company’s expenditure on three departments over four years is as follows (in thousands): What is the total percentage increase in expenditure on R&D f...
• The mean age of 30 students was calculated as 15 years. However, it was later discovered that one student's age was mistakenly entered as 15 years instead ...
• 47.98 × 4.16 + √325 × 12.91 + ? = 79.93 × 5.91
• If p3 + 9p2 + 8p + 13 = 6p2 + 5p + 12, then find the value of {(p4 + 1/p2)}/(p2 + 3p + 1)....
• If x + 1/x = 3, find the value of x³ + 1/x³.