Algebra
161 questions available
FILTER BY SUBTOPIC
Q121.If 12 years are added to 2/7 of the age of JAVED he will be 3 years younger to the present age of his elder brother OW AIS who is now 30 years. What is the present age of JAVED?
Correct Answer: D
Let Javed's age be j. Elder brother Owais is 30, and 3 years younger is 27. Equation: (2/7)j + 12 = 27 => (2/7)j = 15 => 2j = 105 => j = 52.5.
Q122.If 2x + y = 5, then 4x + 2y is equal to ____?
Correct Answer: A
Multiplying both sides of the equation 2x + y = 5 by 2 yields 2(2x + y) = 2(5), which simplifies to 4x + 2y = 10.
Q123.If T³ - 3T + 1 = 0, find the value of T³ + 1/T³?
Correct Answer: D
Dividing T³ - 3T + 1 = 0 by T gives T² - 3 + 1/T = 0, so T + 1/T = 3. Using the algebraic identity (T + 1/T)³ = T³ + 1/T³ + 3(T + 1/T), we substitute 3: 3³ = T³ + 1/T³ + 3(3) => 27 = T³ + 1/T³ + 9 => T³ + 1/T³ = 18.
Q124.Evaluate: (a + b) – (a – b)
Correct Answer: B
(a + b) - (a - b) = a + b - a + b = 2b.
Q125.Solve the equation: 2x + 5 = 3
Correct Answer: A
2x + 5 = 3 => 2x = -2 => x = -1.
Q126.14 dozen eggs cost Rs. 100. If another 48 eggs are bought at Rs. 12 per dozen, what is the total cost?
Correct Answer: C
48 eggs = 4 dozen. Cost of additional eggs = 4 × Rs. 12 = Rs. 48. Total cost = Rs. 100 + Rs. 48 = Rs. 148.
Q127.If A = 1 and H = 8, then what is the value of A + H - 2?
Correct Answer: A
Substituting the values: A + H - 2 = 1 + 8 - 2 = 7.
Q128.What is the result of 9 × 8 - 5?
Correct Answer: B
Multiplication before subtraction: 9 × 8 - 5 = 72 - 5 = 67.
Q129.Simplify: x + x - 2 =?
Correct Answer: A
Combine like terms: x + x - 2 = 2x - 2.
Q130.Solve for X: X/12 = -3
Correct Answer: C
Multiplying both sides by 12 yields X = -3 × 12 = -36.
Q131.If x² - x = 12 and y² - y = 12, what is the possible value of x - y?
Correct Answer: B
Solving the quadratic z² - z - 12 = 0 gives (z - 4)(z + 3) = 0, so roots are 4 and -3. Thus x and y can be 4 or -3. If x=4 and y=-3, then x-y = 7. If x=-3 and y=4, then x-y = -7. Therefore, possible values are 0 or ±7.
Q132.5x - 4 = 4x - 4. Value of x
Correct Answer: D
5x - 4 = 4x - 4. Subtracting 4x from both sides gives: x - 4 = -4. Adding 4 to both sides gives: x = 0.
Q133.What number when multiplied by itself gives 5 more than 20 ?
Correct Answer: C
Let the number be x. x * x = 20 + 5 => x^2 = 25 => x = 5 (since 5 is the positive option).
Q134.What number when multiplied by itself gives 6 more than 30 ?
Correct Answer: B
Let the number be x. x^2 = 30 + 6 => x^2 = 36 => x = 6.
Q135.What number when multiplied by itself gives 4 more than 60 ?
Correct Answer: C
Let the number be x. x^2 = 60 + 4 => x^2 = 64 => x = 8.
Q136.If a value is added on both sides of the equation, it is called?
Correct Answer: D
The Addition Property of Equality states that if you add the same value to both sides of an equation, the equation remains balanced and true.
Q137.Eliminate t from x = t and y = t²?
Correct Answer: B
Substitute t = x into y = t^2. This gives the equation: y = x^2, which can be written as x^2 = y.
Q138.A relation in which the equality is true only for a number of unknowns is called an?
Correct Answer: B
An equation is a mathematical statement of equality containing variables that is true only for specific values of those variables (the unknowns), whereas an identity is true for all values of the variables.
Q139.If x = t and y = m, then what is the value of (y − x)ⁿ?
Correct Answer: C
Substituting x = t and y = m into the expression (y − x)ⁿ yields (m − t)ⁿ.
Q140.If x = √2 − 1, then find x²?
Correct Answer: B
x² = (√2 − 1)² = 2 − 2√2 + 1 = 3 − 2√2.