Explanation

tanθ = opposite/adjacent

- p = perpendicular, b = base → tanθ = p/b

Explanation

secθ = h/b

- secθ = 1/cosθ

- cosθ = b/h → secθ = h/b

Explanation

cosθ = b/h

- cosθ = adjacent/hypotenuse

- Here, b = base (adjacent), h = hypotenuse

Explanation

cosecθ = h/p

- cosecθ is the reciprocal of sinθ

- sinθ = p/h → cosecθ = 1/sinθ = h/p

Explanation

Definition: In a right-angled triangle, sinθ = opposite/hypotenuse

- So, p = perpendicular (opposite), h = hypotenuse

Explanation

Transpose of a matrix means converting rows into columns.  

Original matrix:  

[ 2 9 ]  

[ 3 4 ]  

Transpose:  

[ 2 3 ]  

[ 9 4 ]

Explanation

To find the correct option for the code 2098, let's reverse the logic from the given:

LAME → 3425  

L → 3  

A → 4  

M → 2  

E → 5  

COOK → 4006  

C → 4  

O → 0  

O → 0  

K → 6  

TEST → 8598  

T → 8  

E → 5  

S → 9  

T → 8  

Now decode 2098 using above logic:

- 2 → M  

- 0 → O  

- 9 → S  

- 8 → T  

So, 2098 = MOST

Correct answer: B. MOST 

Explanation

One quarter of 250 = 250 ÷ 4 = 62.5  

- One tenth of 62.5 = 62.5 ÷ 10 = 6.25  

- One fifth of 6.25 = 6.25 ÷ 5 = 1.25

Explanation

If a man is moving north and turns right, he will be facing east.

This is because the cardinal directions are arranged in a clockwise manner, and a right turn from north is a 90-degree clockwise movement to east. 

Here's why:

Starting Direction: The man is facing North.

The Turn: He turns right, which is a 90-degree clockwise turn.

New Direction: When you face North and turn 90 degrees to the right, you are looking East. 

Explanation

The given series is: 3/5, 5/7, 7/9, ?

We can observe the pattern:

- Numerators: 3, 5, 7, ... → increasing by 2 → next is 9

- Denominators: 5, 7, 9, ... → increasing by 2 → next is 11

Next term = 9/11