Explanation

Let's find the purchase price (cost price):

Selling price = Rs 25,000

Loss percentage = 20%

Let the cost price be x.

Since Naeem suffered a 20% loss:

Selling price = Cost price - Loss

25,000 = x - 0.20x

25,000 = 0.80x

Divide both sides by 0.80:

x = 25,000 / 0.80

x = 31,250

Explanation

Given:

4x/6 = 2

Multiplying both sides by 6/4:

x = 2 × 6/4

x = 12/4

x = 3

Explanation

30% = 30/100 = 0.3

Explanation

To evaluate the expression:

Log₁₀ √10

First, rewrite the square root as an exponent:

√10 = 10^(1/2)

Now, apply the logarithm:

Log₁₀ 10^(1/2)

Using the property of logarithms that states logₐ a^x = x:

Log₁₀ 10^(1/2) = 1/2

Explanation

(+5) - (+7) = 5 - 7 = -2

Subtracting a larger positive number from a smaller one gives a negative result.

Explanation

tan 45° = 1 in trigonometry.

Explanation

The multiplicative inverse of a number is the number that, when multiplied by the original number, gives a product of 1.

The multiplicative inverse of 0 does not exist, because:

0 × x = 0 ≠ 1

for any real number x.

The correct answer is: 0

Explanation

Let's simplify the expression:

log6 25 − 2 log6 5 + log6 a

Since 25 = 5^2:

log6 25 = log6 (5^2) = 2 log6 5

So, the expression becomes:

2 log6 5 - 2 log6 5 + log6 a

= log6 a

If this expression equals 0 (assuming that's the goal):

log6 a = 0

This implies:

a = 6^0

a = 1

Explanation

Cardinality refers to the number of elements in a set.

Set A has 4 elements, so its cardinality is 4.

Explanation

To complete the square for x⁴ + 64, recognize that:

(x²)² + 2(x²)(8) + 8² = (x² + 8)²

So, the missing term to complete the square is:

2(x²)(8) = 16x²