Correct Answer: She said that she had to leave all the bad habits.

Solution : The correct choice is the third option.

In this case:

The reporting verb "said" remains unchanged.
The pronoun "she" is retained but shifted from the first person to the third person.
The verb "must" changes

Correct Answer: 252

Solution : Given:
21 : 196 :: 29 : ? :: 38 : 315

Here, multiply the first number by 7 and then add the square of 7 to the resultant.
21 : 196→(21 × 7) + (7)² = 147 + 49 = 196 
38 :

Correct Answer: Fungal

Solution : The correct option is Fungal.

Ringworm is a fungal infection. Despite its name, it is caused by fungus that can infect the skin, hair, or nails, rather than worms. Ringworm is also known as dermatophytosis, and it is caused by fungus such as Trichophyton, Microsporum,

Correct Answer: Protection

Solution : The correct choice is the third option.

Explanation: Hazard refers to something that poses a threat or danger, while protection refers to measures taken to prevent or shield against that danger.

The meanings of the other options are as follows:

• Peril and jeopardy are

Correct Answer: 12,320

Solution : Present value (P) = Rs. 10,000
Interest rate for 1st year,
$r_1$ = 10% per annum
Interest rate for 2nd year,
$r_2$ = 12% per annum
Time = 2 years
Amount(A) = P × (1 + $\frac{r_1}{100}$) × (1 + $\frac{r_2}{100}$)
= 10000 × (1

Correct Answer: $2 \sec \theta$

Solution : $\frac{(1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)}{(\sec \theta+\tan \theta)(1-\sin \theta)}$
$=\frac{(1+\frac{\sin \theta}{\cos \theta}+\frac{1}{\cos \theta})(1+\frac {\cos \theta}{\sin \theta}-\frac {1}{\sin \theta})}{(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta})(1-\sin \theta)}$
$=\frac{(\frac{\cos \theta+\sin \theta+1}{\cos \theta})(\frac {\sin \theta+\cos \theta-1}{\sin \theta})}{(\frac{1+\sin \theta}{\cos \theta})(1-\sin \theta)}$
$=\frac{(\cos \theta+\sin \theta+1)(\sin \theta+\cos \theta-1)}{\sin \theta(1-\sin \theta)}$
$=\frac{(\cos \theta+\sin \theta)^2-1}{\sin \theta\cos^2

Correct Answer: 245361

Solution : Given:
1. Subtract 2. Submerge 3. Subside 4. Submit 5. Subscribe 6. Subtle

Step 1: The first three letters of each word are same – s, u, b, so move to the next letter.
Step 2: The fourth letter of each word is – t,

Correct Answer:

Solution : According to the given figures –
1. The diamond-shaped figure and the circles inside and outside rotate by 90° in the anti-clockwise direction.
2. The number of circles around the diamond-shaped figure inside each box decreases by 1.
So, following the above pattern, the required figure

Correct Answer: CABD

Solution : The correct answer is the second option.

Sentence (C) introduces the olive tree and its significance in Mediterranean cuisine. The sentence (A) provides information about the growth and lifespan of the olive tree. Sentence (B) discusses the typical lifespan of an olive tree and highlights

Correct Answer: $2 \cos 3θ$

Solution : Given: $x+\frac{1}{x}=2 \cos \theta$.
Cubing both sides, we get:
$⇒\left(x^3+\frac{1}{x^3}\right) + 3\left(x+\frac{1}{x}\right) = 8\cos^3 \theta$
Putting the values, we get:
$⇒x^3+\frac{1}{x^3} = 8\cos^3 \theta- 3(2 \cos \theta)$
$⇒x^3+\frac{1}{x^3}= 8\cos^3 \theta- 6 \cos \theta$
$⇒x^3+\frac{1}{x^3}=2(4\cos^3 \theta- 3 \cos \theta)$
$⇒x^3+\frac{1}{x^3}=2 \cos 3 \theta$
Hence,