Jee maths - take the quiz

5 (correct), B) 0.866, C) 1, D) 0.707 Explanation: The sine of 30 degrees is equal to 0.5. 2. Which of the following is a quadratic equation?
X^2 + 3x - 2 = 0
2x + 5 = 0
3x^3 + 2x^2 - x + 1 = 0
4x - 7 = 0
Options A and D are quadratic equations. 3. Solve the equation: 2x + 5 = 15 (Text: Score 2) Answer: x = 5 Variations: 5, x = 5, x=5, X=5, 5 is the solution, x equals 5, x = 5 is the answer, x=5 is the correct answer, x=5 is the solution Explanation: By subtracting 5 from both sides of the equation, we get 2x = 10. Dividing both sides by 2 gives us x = 5. 4: What is the derivative of f(x) = 3x^2 + 2x - 1?
6x + 2
3x^2 + 2x
6x - 2
3x^2 - 2x
Therefore, the derivative of f(x) = 3x^2 + 2x - 1 is 6x + 2. 5. Which of the following is a rational number?
V2
0.75
P
-5
Evaluate the expression: 4! (Text: Score 1) Answer: 24 Variations: 24, 4 factorial, 4!, 4 x 3 x 2 x 1, 4*3*2*1, 4 multiplied by 3 multiplied by 2 multiplied by 1, 4 times 3 times 2 times 1, 4 times 3 times 2 times 1 equals 24, 4! equals 24 Explanation: The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 4! Is equal to 4 x 3 x 2 x 1, which equals 24. 7: What is the value of log10(100)?
1
2
10
100
Solve the equation: 2x - 3 = 7 (Text: Score 2) Answer: x = 5 Variations: 5, x = 5, x=5, X=5, 5 is the solution, x equals 5, x = 5 is the answer, x=5 is the correct answer, x=5 is the solution Explanation: By adding 3 to both sides of the equation, we get 2x = 10. Dividing both sides by 2 gives us x = 5. 9. What is the area of a circle with a radius of 5 units?
25p
10p
50
25
Substituting the given radius of 5 units, we get A = p(5^2) = 25p. 10. Which of the following is an irrational number?
2x^2 - 5x - 12
V9
-v16
V2
0.5 11: Simplify the expression: (2x + 3)(x - 4) (Text: Score 3)
Combining like terms, we obtain 2x^2 - 5x - 12. 12: What is the value of tan(45°)?
1
0
V2
-1
13. Which of the following is a prime number?
x = 3
10
17
25
33
41 14: Solve the equation: 3(x + 2) = 15 (Text: Score 3)
Subtracting 2 from both sides gives us x = 3. 15: What is the value of cos(60°)?
0.5
1/2
V3/2
-1/2
16. Which of the following is a composite number?
3
7
11
12
13
17 17: Evaluate the expression: log2(8) (Text: Score 2)
18. Solve the equation: 5x - 2 = 3x + 10 (Text: Score 4) Answer: x = 6 Variations: 6, x = 6, x=6, X=6, 6 is the solution, x equals 6, x = 6 is the answer, x=6 is the correct answer, x=6 is the solution Explanation: By subtracting 3x from both sides of the equation and simplifying, we get 2x - 2 = 10. Adding 2 to both sides gives us 2x = 12. Dividing both sides by 2 yields x = 6. 19: What is the value of sin(60°)?
V3/2
1/2
0.5
-1/2
20. Which of the following is a perfect square?
6
9
15
16
21
25 21: Simplify the expression: 2(x + 3) - 4(x - 1) (Text: Score 3)
Combining like terms, we obtain -2x + 10. Further simplification gives us 6. 22: What is the value of tan(30°)?
V3/3
1/v3
0.5
-1/2
23. Which of the following is a rational number?
V25
-7
P
0.75
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