Explanation

Identify the specific instance:

The word "Black" refers to a specific, singular color.

Recognize the class:

All specific colors are members of the more general class of "Color".

Perform the logical grouping:

Because "Black" is an instance of "Color," it is logically consistent to move up the hierarchy and substitute the specific term ("Black") with its more general, categorical term ("Color"). 

Explanation

- If 6 men invest 33,000 → 1 man invests = 33,000 / 6 = 5,500  

- 18 men invest = 18 × 5,500 = Rs. 99,000  

Explanation

Given: (x + 1/x)(x − 1/x)

Use the formula for difference of squares:  

(a + b)(a − b) = a² − b²

Here, a = x and b = 1/x

So, (x + 1/x)(x − 1/x) = x² − (1/x)²  

= x² − 1/x²

Explanation

We are given the expression:

100² − 99²

This is a difference of squares:

a² − b² = (a − b)(a + b)

So:

100² − 99² = (100 − 99)(100 + 99) = 1 × 199 = 199

Explanation

7 + 2 - 1 = 8 → H  

22 + 8 - 6 = 24 → W

Now match the number to alphabet (A = 1, B = 2, ..., Z = 26):

- 8 = H

- 24 = X, not W (W = 23) → So seems like small mistake here in example.

Let’s check:

7 + 2 - 1 = 8 → H (correct)  

22 + 8 - 6 = 24 → should be X, not W

Now solve:

11 + 6 - 1 = 16 → 16th letter is P

Explanation

Work is inversely proportional to the number of men.  

So,  

(120 men × 90 days) = (270 men × x days)  

⇒ 10800 = 270x  

⇒ x = 10800 / 270  

⇒ x = 40 days

Explanation

Total parts = 4 + 3 + 5 = 12
One part = 4800 ÷ 12 = 400

C’s share = 5 × 400 = 2000

Explanation

There are 4 alphabets between T and Y:

U, V, W, X.

Explanation

To find the smaller price, we can calculate each of the multiplication problems:

8003 × 8006 = 64,072,018

3088 × 6002 = 18,534,176

8008 × 2001 = 16,024,008

6009 × 3001 = 18,033,009

Comparing the results, the smallest number is 16,024,008.

Explanation

Boxing is different from tennis, cricket, and basketball primarily

Because it is a one-on-one combat sport where the objective is to physically incapacitate or outscore a single opponent.