Explanation

- Karachi – City in Pakistan  

- Kabul – Capital of Afghanistan  

- Tehran – Capital of Iran  

- Beijing – Capital of China

Karachi is the only one that is not a capital city.

The rest are national capitals.

Explanation

Karachi is different as it is the only one which is not the capital of any country.

Karachi is the former capital of Pakistan and is now the capital of the province of Sindh

Kabul is the capital of Afghanistan 

Delhi is the capital of India

Dhaka is the capital of Bangladesh

Explanation

 FIVE is different as it is an odd number

while

others are even. also, all others are divisible by 2 while 5 is not.

ND18-9-2023

Explanation

Explanation

So cos is positive in 1st and 4th quadrants.

In trigonometry:

- 1st Quadrant: All trigonometric functions (sin, cos, tan) are positive.  

- 2nd Quadrant: Only sin is positive.  

- 3rd Quadrant: Only tan is positive.  

- 4th Quadrant: Only cos is positive.

Explanation

sin(30°) = 1/2 is a standard trigonometric value.

Explanation

To find the determinant of a 2x2 matrix:

Matrix:

| a  b |  

| c  d |

Formula:  

Determinant = (a × d) − (b × c)

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Given Matrix:

| 1  3 |  

| 2  4 |

Step-by-step:

- a = 1, b = 3,  

- c = 2, d = 4  

Apply the formula:  

= (1 × 4) − (3 × 2)  

= 4 − 6  

= −2

Explanation

A × B = (A²)(B²)

2×2 → 2² = 4, 2² = 4 → 44 

3×2 → 3² = 9, 2² = 4 → 94 

Try 9×4:  

9² = 81, 4² = 16 → 8116

Explanation

The pattern in the series is: +9 each time.

- 1  

- 1 + 9 = 10  

- 10 + 9 = 19  

- 19 + 9 = 28  

- 28 + 9 = 37

Explanation

Kangaroo is different from the rest.

- Kangaroo is a marsupial (carries its young in a pouch).

- Goat, Cow, and Buffalo are ruminant mammals (they chew cud and have a similar digestive system).