Aptitude And Algebra Questions! Math Trivia Quiz

The value of g(-1) can be found by substituting -1 into the equation for g(x). When we do this, we get g(-1) = 3(-1)^2 - 2(-1) - 5 = 3 - (-2) - 5 = 3 + 2 - 5 = 5 - 5 = 0. Therefore, the value of g(-1) is 0.

The correct answer is -4

The given function f(x) = -3x - 5 represents a linear equation. To find the value of f(2), we substitute x = 2 into the equation. Therefore, f(2) = -3(2) - 5 = -6 - 5 = -11.

The set {4,8,12} is a subset of {2, 4, 6, 8, 10, 12} because all of its elements (4, 8, and 12) are also present in the larger set.

To find the value of ab, we can use the given equations. From the equation a - b = 3, we can rewrite it as a = b + 3. Substituting this into the equation a^2 + b^2 = 29, we get (b + 3)^2 + b^2 = 29. Expanding and simplifying this equation, we get 2b^2 + 6b - 20 = 0. Factoring this equation, we get (b + 5)(b - 2) = 0. Therefore, b = -5 or b = 2. Since ab is the product of a and b, the only possible value is ab = -5(2) = -10.

Let the present ages of the three persons be 4x, 7x, and 9x respectively. Eight years ago, their ages would have been (4x-8), (7x-8), and (9x-8) respectively. According to the given information, the sum of their ages eight years ago was 56. So, (4x-8) + (7x-8) + (9x-8) = 56. Simplifying this equation, we get 20x = 80, which implies x = 4. Therefore, the present ages of the three persons are 4x = 16, 7x = 28, and 9x = 36. Hence, the correct answer is 16, 28, 36.

Based on the given information, we know that the age difference between Sachin and Rahul is 7 years. If their ages are in the ratio of 7:9, we can set up the equation 7x = 9x - 7, where x represents the common ratio. Solving this equation, we find that x = 7.5. Therefore, Sachin's age is 7x = 7 * 7.5 = 52.5 years. However, since the answer options are in whole numbers, we can conclude that Sachin's age is 24.5 years.

The number of onto functions from set A to set B can be calculated by taking the number of elements in set B raised to the power of the number of elements in set A, and then subtracting the number of elements in set B. In this case, set A has 4 elements and set B has 3 elements, so the number of onto functions is 3^4 - 3 = 36.

Let's assume C's age to be x. According to the given information, B's age is twice as old as C, so B's age is 2x. A is two years older than B, so A's age is 2x + 2. The total of their ages is 27, so we can write the equation x + 2x + 2 + 2x = 27. Simplifying this equation, we get 5x + 2 = 27. Solving for x, we find that x = 5. Therefore, B's age is 2x = 2(5) = 10.

Let's assume Sameer's present age is 5x and Anand's present age is 4x. According to the given information, after three years, Sameer's age will be 5x+3 and Anand's age will be 4x+3. The ratio of their ages after three years is given as 11:9. Therefore, we can set up the equation (5x+3)/(4x+3) = 11/9. Solving this equation, we find x = 3. Substituting x = 3 into Anand's present age (4x), we get Anand's present age as 4*3 = 12. Therefore, Anand's present age is 12, which is not one of the given options. Hence, the answer cannot be determined.

The graph of the function y=2^x will never intersect the x-axis because the exponential function 2^x is always positive for any value of x. Since the x-axis represents the y-coordinate of 0, and the function is always positive, it will never cross or intersect the x-axis.

When Ayesha was born, her father was 38 years old. When her brother, who is four years younger than her, was born, her mother was 36 years old. This means that there is a two-year age difference between Ayesha and her brother. Since Ayesha's father is four years older than her mother, the age difference between her parents is 6 years.

The father's age at the time of the son's birth was 38 years. Since the father said "I was as old as you are at the present at the time of your birth", it means that the son's current age is also 38 years. Therefore, the son's age five years back would be 38 - 5 = 33 years.

Let the present age of the son be x years. According to the given information, the father's age 10 years ago was 3 times the son's age, so the father's age 10 years ago was 3x years. Ten years hence, the father's age will be twice that of his son, so the father's age 10 years from now will be 2(x+10) years.

From the above information, we can form the equation 3x + 10 = 2(x+10). Solving this equation, we get x = 10.

Therefore, the present age of the son is 10 years. The present age of the father is 3x = 30 years.

Hence, the ratio of their present ages is 30:10, which simplifies to 3:1 or 7:3.

The man's age is 24 years older than his son's age, so let's assume the son's age is x. The man's age would then be x + 24. In two years, the man's age will be x + 24 + 2, and the son's age will be x + 2. According to the given information, the man's age in two years will be twice the age of his son, so we can write the equation x + 24 + 2 = 2(x + 2). Solving this equation, we get x = 20. Therefore, the present age of the son is 20 years.

Let the present age of the person be x and the present age of the mother be y. According to the given information, x = (2/5)y. After 8 years, the person's age will be x+8 and the mother's age will be y+8. It is also given that x+8 = (1/2)(y+8). By substituting x = (2/5)y in this equation, we get (2/5)y + 8 = (1/2)(y+8). Solving this equation, we find y = 40. Therefore, the mother is currently 40 years old.

The sum of the ages of the 5 children is 50 years, and they are born at intervals of 3 years each. This means that the age difference between each child is 3 years. If we assume the age of the youngest child to be x, then the ages of the other children would be x+3, x+6, x+9, and x+12. Adding these ages together gives us the equation x + (x+3) + (x+6) + (x+9) + (x+12) = 50. Simplifying this equation, we get 5x + 30 = 50. Solving for x, we find that x = 4. Therefore, the age of the youngest child is 4 years.

Six years ago, the father's age was five times the age of the son. This means that if we subtract 6 from the father's current age and divide it by 5, we will get the son's current age. Let's call the son's current age S. So, (F-6)/5 = S, where F is the father's current age. We also know that the sum of their present ages is 60 years, so F + S = 60. We can substitute the value of S from the first equation into the second equation to solve for F. (F-6)/5 + F = 60. Solving this equation gives us F = 35. Therefore, the son's current age is 25. After 6 years, the son's age will be 25 + 6 = 31 years. Therefore, the correct answer is 20 years.

Let's assume the present age of Arun is 4x and the present age of Deepak is 3x. After 6 years, Arun's age will be 4x + 6 = 26 years. Solving this equation, we find that 4x = 20, which means x = 5. Therefore, the present age of Deepak is 3x = 3 * 5 = 15 years.

The given question states that Q is as much younger than R as he is older than T. However, no specific ages are given for any of the individuals. Without knowing the actual ages of Q, R, and T, it is impossible to determine the difference between R and Q's age. Therefore, the data provided is inadequate to answer the question.

Let's assume the present age of Kunal and Sagar as 6x and 5x respectively. Six years ago, their ages would have been 6x-6 and 5x-6. Four years from now, their ages will be 6x+4 and 5x+4. According to the given information, (6x+4)/(5x+4) = 11/10. Solving this equation, we get x = 4. Therefore, Sagar's present age is 5x = 5*4 = 20 years. However, this contradicts the given answer. Hence, the correct answer cannot be determined.

The graph at the right shows a U-shaped curve, which is characteristic of a quadratic function. A quadratic function is a polynomial function of degree 2, and its graph is a parabola. Therefore, the correct answer is quadratic.

The given equation f(x + y) = f(x)f(y) implies that the function f is multiplicative. We are given that f(4) = 3, so we can substitute x = 4 and y = -12 (since 4 + (-12) = -8) into the equation to find f(-8). This gives us f(-8) = f(4)f(-12) = 3f(-12). Since f(-8) is equal to 1/9 according to the answer choices, we can conclude that f(-12) must be equal to 1/3. Therefore, f(-8) = 3f(-12) = 3(1/3) = 1, which does not match any of the answer choices. Hence, the correct answer is 1/9.

The given relation is not a function because there are multiple y-values for a given x-value. In a function, each input (x-coordinate) should have only one output (y-coordinate), but in this case, there are multiple outputs for some inputs. Therefore, the relation does not satisfy the definition of a function.

The question states that the father is currently aged three times more than his son Ronit. This means that if Ronit's age is x, then the father's age is 3x. After 8 years, the father would be two and a half times Ronit's age. So, the father's age after 8 years would be 2.5(x+8). We can set up an equation: 2.5(x+8) = 3x. Solving this equation, we find that x = 20. Therefore, Ronit's current age is 20 and the father's current age is 60. After a further 8 years, Ronit's age would be 20+8 = 28 and the father's age would be 60+8 = 68. Therefore, the father would be 2 times Ronit's age.