Adding 25 and 17 gives 42. This is the basic arithmetic sum of the two numbers.

Multiplying 8 by 7 yields 56. This multiplication fact is a fundamental component of basic arithmetic.

The word 'joyful' means happy or full of joy. It is the best synonym among the options provided.

By substituting x = 3 into 2x + 5, the equation becomes 2(3) + 5 = 6 + 5, which equals 11. This demonstrates a basic algebraic substitution.

An apple is classified as a fruit, and similarly, a carrot is classified as a vegetable. This analogy tests basic categorization skills in verbal reasoning.

Since 3/4 of the number equals 12, multiplying 12 by 4/3 gives the whole number, which is 16. This applies proportional reasoning with fractions.

Subtracting the second polynomial from the first involves combining like terms: 2x² - x² gives x², -3x - x gives -4x, and 4 - (-5) gives 9. The simplified expression is x² - 4x + 9.

The formula for the perimeter of a rectangle is 2(length + width). Setting 2(15 + width) equal to 50 and solving yields a width of 10 units. This exercise incorporates basic algebra with geometry.

Using the ratio 2:3, if 12 cups of water are used, then the amount of flour is (2/3) times 12, which equals 8 cups. This question tests understanding of proportions.

The primary purpose of a book is to be read, and similarly, the primary purpose of food is to be eaten. This analogy assesses basic verbal reasoning skills.

The word 'brief' means short in duration or concise, making 'long' its antonym. This question checks vocabulary fundamentals.

Subtracting 2y from both sides results in y - 7 = 5, and then adding 7 gives y = 12. This problem reinforces basic principles of equation solving.

A clock is used to measure time just as a thermometer is used to measure temperature. This analogy examines the practical applications of common instruments.

Let the three consecutive integers be n, n+1, and n+2. Solving 3n + 3 = 48 gives n = 15, so the largest integer is 17. This problem utilizes elementary algebra.

By factoring 6, 8, and 12 into primes and taking the highest powers, the LCM is determined to be 24. This tests knowledge of number theory basic concepts.

After a 25% discount, the price becomes 75% of the original, and applying a 12% tax multiplies this discounted price by 1.12. The equation 0.75 * 1.12 * original price = 84 resolves to an original price of $100.

The area of a sector is proportional to its central angle relative to 360 degrees. Since 60° is 1/6 of 360°, the sector occupies 1/6 of the circle's area.

A semicolon serves to link two independent clauses that are closely related in thought. This use avoids the abrupt separation of ideas while maintaining sentence clarity.

Using the trigonometric identity sin²θ + cos²θ = 1, substituting sin(θ) = 0.6 gives cos(θ) = √(1 - 0.36) = 0.8. This calculation is valid in the first quadrant where cosine is positive.

For any quadratic equation ax² + bx + c = 0, the product of the roots is given by c/a. Here, c = -5 and a = 2, so the product of the solutions is -5/2.