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questions.json
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questions.json
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[
{
"level": "Easy",
"question": "If a function is even, what property does it satisfy?",
"options": {
"A": "f(-x) = -f(x)",
"B": "f(-x) = f(x)",
"C": "f(x) = -f(x)",
"D": "f(x) = f(-x)"
},
"answer": "B"
},
{
"level": "Easy",
"question": "What is the square root of 144?",
"options": {
"A": "10",
"B": "12",
"C": "14",
"D": "16"
},
"answer": "B"
},
{
"level": "Easy",
"question": "What is the value of log(1)?",
"options": {
"A": "0",
"B": "1",
"C": "-1",
"D": "Undefined"
},
"answer": "A"
},
{
"level": "Easy",
"question": "Which of the following is the identity element for addition?",
"options": {
"A": "0",
"B": "1",
"C": "-1",
"D": "None of the above"
},
"answer": "A"
},
{
"level": "Easy",
"question": "What is the sum of angles in a triangle?",
"options": {
"A": "90 degrees",
"B": "180 degrees",
"C": "270 degrees",
"D": "360 degrees"
},
"answer": "B"
},
{
"level": "Easy",
"question": "If a function is odd, what does it satisfy",
"options": {
"A": "f(-x) = -f(x)",
"B": "f(-x) = f(x)",
"C": "f(x) = -f(x)",
"D": "None of the above"
},
"answer": "A"
},
{
"level": "Easy",
"question": "Which of the following is a rational number?",
"options": {
"A": "5√2",
"B": "√2",
"C": "-3",
"D": "None of the above"
},
"answer": "C"
},
{
"level": "Easy",
"question": "What is the value of cos(0)?",
"options": {
"A": "0",
"B": "1",
"C": "-1",
"D": "Undefined"
},
"answer": "B"
},
{
"level": "Easy",
"question": "What is the value of tan(1/4)?",
"options": {
"A": "1",
"B": "0",
"C": "-1",
"D": "Undefined"
},
"answer": "A"
},
{
"level": "Hard",
"question": "What is the rank of the following 2x3 matrix?",
"options": {
"A": "2",
"B": "3",
"C": "1",
"D": "0"
},
"answer": "A"
},
{
"level": "Hard",
"question": "Which of the following is an example of a scalar in linear algebra?",
"options": {
"A": "A vector",
"B": "A matrix",
"C": "A real number",
"D": "A complex number"
},
"answer": "C"
},
{
"level": "Hard",
"question": "What is the determinant of a 3x3 matrix with the following entries?",
"options": {
"A": "2 0 1, 3 1 -2, 4 3 5",
"B": "-26",
"C": "26",
"D": "34"
},
"answer": "D"
},
{
"level": "Hard",
"question": "What is the derivative of sin(x) with respect to x?",
"options": {
"A": "cos(x)",
"B": "-sin(x)",
"C": "sec(x)",
"D": "csc(x)"
},
"answer": "A"
},
{
"level": "Hard",
"question": "What is the eigenvalue of the matrix [3]?",
"options": {
"A": "[1]",
"B": "1",
"C": "3",
"D": "[3]"
},
"answer": "A"
},
{
"level": "Hard",
"question": "What is the result of the following operation: 3! + 4!?",
"options": {
"A": "17",
"B": "20",
"C": "24",
"D": "28"
},
"answer": "C"
},
{
"level": "Hard",
"question": "What is the Laplace transform of sin(at)?",
"options": {
"A": "a/(s^2 + a^2)",
"B": "s/(s^2 + a^2)",
"C": "a/s^2 + a^2",
"D": "s/a^2 + s^2"
},
"answer": "B"
},
{
"level": "Hard",
"question": "Which of the following is the derivative of ln(x)?",
"options": {
"A": "1/x",
"B": "x",
"C": "-1/x",
"D": "None of the above"
},
"answer": "A"
},
{
"level": "Hard",
"question": "What is the integral of e^x dx?",
"options": {
"A": "e^(x+1) + C",
"B": "e^(x-1) + C",
"C": "e^x + C",
"D": "e^(2x) + C"
},
"answer": "C"
}
]