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Test: Algebra - 2 - Software Development MCQ


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15 Questions MCQ Test - Test: Algebra - 2

Test: Algebra - 2 for Software Development 2024 is part of Software Development preparation. The Test: Algebra - 2 questions and answers have been prepared according to the Software Development exam syllabus.The Test: Algebra - 2 MCQs are made for Software Development 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Algebra - 2 below.
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Test: Algebra - 2 - Question 1

What is the value of x in the equation 3x + 7 = 22?

Detailed Solution for Test: Algebra - 2 - Question 1

Subtract 7 from both sides of the equation to get 3x = 15. Divide both sides by 3 to find x = 5.

Test: Algebra - 2 - Question 2

If a = 4 and b = 7, what is the value of 2a + 3b?

Detailed Solution for Test: Algebra - 2 - Question 2

Multiply a by 2 (8) and b by 3 (21), then sum them (29 + 21 = 46).

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Test: Algebra - 2 - Question 3

What is the value of x in the equation (x - 2)(x + 3) = 0?

Detailed Solution for Test: Algebra - 2 - Question 3

The equation can be factored as (x - 2) = 0, which implies x = 2.

Test: Algebra - 2 - Question 4

Which of the following is the solution to the inequality 2x + 5 > 10?

Detailed Solution for Test: Algebra - 2 - Question 4

Subtract 5 from both sides to get 2x > 5. Divide both sides by 2 to find x > 2.

Test: Algebra - 2 - Question 5

What will be the output of the following code?
#include <iostream>
using namespace std;

int main() {
    int x = 5;
    x += 3;
    cout << x << endl;
    return 0;
}

Detailed Solution for Test: Algebra - 2 - Question 5

The code increments the value of x by 3 using the += operator. Therefore, the output is 5 + 3 = 8.

Test: Algebra - 2 - Question 6

What will be the output of the following code?
#include <iostream>
using namespace std;

int main() {
    int x = 7;
    x *= 2;
    cout << x << endl;
    return 0;
}

Detailed Solution for Test: Algebra - 2 - Question 6

The code multiplies the value of x by 2 using the *= operator. Therefore, the output is 7 * 2 = 14.

Test: Algebra - 2 - Question 7

What will be the output of the following code?
#include <iostream>
using namespace std;

int main() {
    int x = 10;
    int y = 3;
    cout << x % y << endl;
    return 0;
}

Detailed Solution for Test: Algebra - 2 - Question 7

The code calculates the remainder when x is divided by y using the % operator. Therefore, the output is 10 % 3 = 1.

Test: Algebra - 2 - Question 8

What will be the output of the following code?
#include <iostream>
using namespace std;

int main() {
    int x = 15;
    int y = 2;
    cout << x / y << endl;
    return 0;
}

Detailed Solution for Test: Algebra - 2 - Question 8

The code performs integer division of x by y using the / operator. Therefore, the output is 15 / 2 = 7.

Test: Algebra - 2 - Question 9

Which of the following is a balanced ternary number?

Detailed Solution for Test: Algebra - 2 - Question 9

210 is a balanced ternary number because it consists of the digits -1, 0, and 1, where the sum of digits is zero.

Test: Algebra - 2 - Question 10

What is the Euler's totient function value of 12?

Detailed Solution for Test: Algebra - 2 - Question 10

The Euler's totient function value of 12 can be calculated as φ(12) = 12 * (1 - 1/2) * (1 - 1/3) = 4.

Test: Algebra - 2 - Question 11

Which of the following numbers is a prime number?

Detailed Solution for Test: Algebra - 2 - Question 11

29 is a prime number because it is only divisible by 1 and itself.

Test: Algebra - 2 - Question 12

Consider the following code snippet:
#include <iostream>
using namespace std;

int main() {
    int n = 9;
    int sum = 0;
    for (int i = 1; i <= n; i++) {
        if (n % i == 0) {
            sum += i;
        }
    }
    cout << sum << endl;
    return 0;
}
What will be the output of the code?

Detailed Solution for Test: Algebra - 2 - Question 12

The code calculates the sum of divisors of 9 using a for loop and conditional statement. Therefore, the output is 1 + 3 + 9 = 13.

Test: Algebra - 2 - Question 13

Which of the following is the correct expanded form of the expression (a + b)2?

Detailed Solution for Test: Algebra - 2 - Question 13

The expression (a + b)2 expands to a2 + 2ab + b2.

Test: Algebra - 2 - Question 14

Simplify the expression: (3x - 5) / (2x + 1) - (x + 4) / (2x + 1)

Detailed Solution for Test: Algebra - 2 - Question 14

Simplifying the given expression gives us (3x - 5) / (2x + 1) - (x + 4) / (2x + 1) = (3x - x - 5 - 4) / (2x + 1) = (2x - 9) / (2x + 1).

Test: Algebra - 2 - Question 15

Solve the equation for x: 2x - 7 = 11

Detailed Solution for Test: Algebra - 2 - Question 15

Solving the equation 2x - 7 = 11 gives us 2x = 11 + 7 = 18, and dividing both sides by 2, we get x = 18 / 2 = 9.

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