Q.Which of the following expressions in Python evaluates to True ? (A) 2>3 and 2<3 (B) 3>1 and 2 (C) 3>1 and 3>2 (D) 3>1 and 3<2

Concept — how and really works

x and y in Python does not always return a boolean:

• If x is falsy (False, 0, None, empty containers), it returns x immediately — the right side is never evaluated (short-circuit).
• If x is truthy, it returns y — whatever value y is.

A comparison such as 3>1 always evaluates to a real boolean (True/False), so an and of two comparisons yields a boolean. But an and whose right operand is a plain number returns that number, not True.

Evaluating each option

Why each wrong option fails:

• (A) — the left comparison 2>3 is already False, so the whole expression is False. …

When evaluating an expression like 14%3**2*4 in Python, the order of operations is decided by operator precedence, which is similar to BODMAS/PEMDAS but tailored to Python's operators.

For the operators here:

• ** (exponentiation) has the highest precedence.
• * (multiplication) and % (modulo) share the same, lower precedence.
• Operators of equal precedence are evaluated left to right.

Let's break it down step by step.

1. Exponentiation (**) first. 3**2 means 3 raised to the power 2, i.e. 3 x 3 = 9. The expression becomes 14 % 9 * 4.

2. Modulo (%) and multiplication (*), left to right. Both have equal precedence, so we go left to right. …

The question tests your understanding of Python’s identity operators — is and is not. These are different from equality operators (== and !=). While == compares the value of two objects, is compares their identity — that is, whether they are the same object in memory.

Think of it like two people with identical names. == asks “Do they have the same name?” — yes, they do. is asks “Are they the same person?” — no, they are two different individuals. In Python, two variables can hold equal values but point to different memory locations (e.g., two separate lists with the same elements). The is operator returns True only when both variables refer to the exact same object.

Now let’s go through the options:

1. Option (A): is

   This operator evaluates to True if the two operands refer to the same memory location (same object). For example:

   a = [1, 2, 3]
   b = a
   print(a is b)   # True — both point to the same list object
   

   This matches the description in the question exactly.

2. Option (B): is not

   This is the negation of is. It returns True if the operands point to different memory locations. So it does the opposite of what the question asks.

3. Option (C): and

   This is a logical operator that returns True only if both operands are truthy. It has nothing to do with memory location.

4. Option (D): or …

Concept — precedence and associativity

In Python, * and / share the same precedence level and are left-associative: with no parentheses, the interpreter simply works through them in the order they appear. - (subtraction) has lower precedence, so it is applied last. One more Python-3 fact decides the form of the answer: the / operator performs true division and always returns a float, so the final result is 0.0, not the integer 0.

Step-by-step evaluation

Expression: 16*5/4*2/5-8

Runnable check:

print(16*5/4*2/5-8)

Expected output:

0.0

Why the other options are wrong …

Concept — logical-operator precedence in Python

Among Python's logical operators the precedence order is: not (highest) → and → or (lowest), and all comparison operators (<, >) bind tighter than any of them. So the expression is implicitly bracketed as:

((5 < 10) and (12 > 7)) or (not (7 > 4))

Step-by-step trace

Run it:

print(5<10 and 12>7 or not 7>4)

Output:

True

(Short-circuit view: the left side of the or is already True, so the whole expression is True no matter what not 7>4 gives.)

Why the other options are wrong …

Concept and Intuition

In programming, operators perform operations on variables and values. These operations can broadly be categorized by what they do and what type of result they produce. Some operators perform assignments, changing the value of a variable. Others perform calculations. Crucially, a specific category of operators, known as comparison operators (or relational operators), are designed to evaluate a relationship between two values and always return a boolean result: True if the relationship holds, and False otherwise.

The question asks which operator returns True or False. This immediately points us towards comparison operators, as they are the only ones whose direct output is a boolean value. Assignment operators, on the other hand, primarily perform a side effect (changing a variable's value) and do not return a boolean.

Step-by-step Analysis

Let's examine each option:

1. (a) += (Augmented Assignment Operator)

   • This is an augmented assignment operator. It combines an arithmetic operation (addition) with an assignment.
   • For example, x += 5 is equivalent to x = x + 5.
   • Its purpose is to update the value of the variable x. It does not return a boolean value. The expression itself evaluates to None in many contexts, but its primary effect is the assignment.

2. (b) != (Comparison Operator: Not Equal To)

   • This is a comparison operator that checks if two values are not equal.
   • For example, 5 != 3 would return True, while 5 != 5 would return False.
   • Comparison operators, by definition, evaluate to a boolean value (True or False) based on the comparison. This matches the requirement of the question.

   Comparison operators like ==, !=, <, >, <=, >= always return a boolean value.

3. (c) = (Assignment Operator) …

When Python evaluates an arithmetic expression it does not simply read left to right — it follows operator precedence (which operations happen first) and associativity (the order among operators of equal precedence). This is the same BODMAS/PEMDAS idea from mathematics.

The operators here rank as follows:

*, / and % share the same (higher) precedence, so they run left to right first; then + and - run left to right.

Step by step for 4 + 3 * 5 / 3 - 5 % 2:

1. 3 * 5 = 15 → 4 + 15 / 3 - 5 % 2 …

This is a question about operator precedence in boolean logic, exactly as implemented in most programming languages (Python, C, Java). You need to know which operators "grab" their operands first.

The precedence hierarchy for logical operators is:

1. not (highest - unary, binds to the immediate right)
2. and (middle - binary)
3. or (lowest - binary)

Think of it like arithmetic: not behaves like exponentiation, and like multiplication, and or like addition. Just as 2 + 3 * 4 means 2 + (3 * 4), the expression A or B and C means A or (B and C).

Let me parse the given expression step by step.

Given: 7<4 or 6>3 and not 10==10 or 17>4

1. Evaluate all comparison operators first (they have higher precedence than logical operators):

   • 7 < 4 -> False
   • 6 > 3 -> True
   • 10 == 10 -> True
   • 17 > 4 -> True

   So the expression becomes:

   False or True and not True or True

2. Apply not (highest precedence among logical operators):

   • not True -> False

   Now we have:

   False or True and False or True

3. Apply and (next precedence):

   The and operator sits between True and False:

   • True and False -> False …

Concept and Intuition

In Python, every object lives somewhere in memory. When you create a variable, it holds a reference to that memory location. Two variables might hold the same value but point to different objects in memory — or they might point to the exact same object.

Identity operators (is and is not) answer the question: "Do these two names refer to the same object in memory?" This is different from the == operator, which checks whether the values are equal. For example, a == b could be True even when a is b is False, because Python might create two separate objects with the same value.

The other operators listed — in and not in — are membership operators, not identity operators. They check whether a value exists inside a container (like a list, string, or tuple). The option on is not a Python operator at all.

Step-by-Step Solution

1. Identify what Python identity operators are.

   Python has exactly two identity operators: is and is not. They return True if the two operands refer to the same object in memory, and False otherwise.

2. Examine each option against this definition.

   • (a) is — This is a valid identity operator. …

Concept — precedence and result types

Two rules decide this question:

1. Precedence: ** (exponent) binds tightest; then / and // (evaluated left to right); + and - come last.
2. Types: true division / always returns a float in Python 3 (6/3 is 2.0, not 2), while // between two ints returns an int. Any arithmetic mixing a float with an int produces a float.

Step-by-step trace

Run it:

print(6/3 + 4**3//8-4)

Output:

6.0

Why the other options are wrong …