Basic Math & Logic Puzzles

Ginger, Onion, Beetroot, and Potato all grow underground as roots, tubers, or bulbs. Coriander is a leafy herb where the leaves are used above ground. This makes it the odd one out.

Bake, Fry, Boil, and Roast are all cooking methods that apply heat to cook food. Peel is a preparation step that removes skin, not a cooking method itself. This makes it the odd one out.

Pistol, Gun, Rifle, and Cannon are all firearms that discharge projectiles. Sword is a bladed weapon that does not use explosive propulsion. This makes it the odd one out.

Cathedral, Mosque, Church, and Temple are all primary places of public worship for various religions. A monastery is primarily a place of residence for religious communities (monks or nuns) rather than a general public house of worship.

To solve this question, the user needs to use algebraic equations to represent the given information and solve for the number of chickens.

Let's denote the number of chickens as "c" and the number of cows as "x." We know that the total number of animals is 30, so:

c + x = 30

We also know that the total number of legs is 74. Since each chicken has 2 legs and each cow has 4 legs, we can represent the total number of legs as:

2c + 4x = 74

Now we have two equations with two variables. We can use substitution or elimination to solve for "c."

Using substitution, we can solve for "x" in the first equation and substitute it into the second equation:

x = 30 - c

2c + 4(30 - c) = 74

Simplifying the equation, we get:

-2c + 120 = 74

-2c = -46

c = 23

Therefore, the farmer has 23 chickens.

Now let's go through each option and explain why it is right or wrong:

A. 23: This option is correct. As we just showed, the farmer has 23 chickens.

B. 24: This option is incorrect. The number of chickens is 23, not 24.

C. 21: This option is incorrect. The number of chickens is 23, not 21.

D. 20: This option is incorrect. The number of chickens is 23, not 20.

The Answer is: A. 23

A standard chess board is an 8x8 grid, resulting in 64 individual squares. While there are more squares if you count larger composite squares (like 2x2 or 3x3), the question refers to the basic grid units.

The area of a circle is pi * R^2. Using 22/7 as the standard approximation for pi, the formula is (22/7) * R^2. Option 407792 is the correct representation of this area formula.

The area of a square is calculated by squaring the length of its side (L * L or L^2). Option 407795 is the correct mathematical formula, whereas L x B is for rectangles and other options are irrelevant.

The perimeter (circumference) of a circle is 2 * pi * R. Using 22/7 as an approximation for pi, the formula becomes 2 * (22/7) * R. Option 407798 correctly identifies this geometric formula.

The square of a binomial (A+B)^2 is calculated as (A+B)(A+B) = A^2 + AB + BA + B^2, which simplifies to A^2 + B^2 + 2AB. Option 407806 is the standard mathematical identity.

The algebraic identity (A - B)² expands to A² - 2AB + B², which can be written as A² + B² - 2AB. This is derived by multiplying (A - B)(A - B) using the distributive property. Option A incorrectly shows +2AB instead of -2AB.