Correct Answer: $\frac{3}{4}$

Solution : Given: $\sec x + \cos x = \frac{5}{2}$
Now, $\cos\theta = \frac{1}{\sec\theta}$
⇒ $\frac{1}{\cos x} + \cos x = \frac{5}{2}$
The above equation satisfies for $x = 60^\circ$
Thus, $\sin^2x = \sin^2 60^\circ= (\frac{\sqrt3}{2})^2$
$\therefore \sin^2x = \frac{3}{4}$
Hence, the correct answer is $\frac{3}{4}$.

Correct Answer: 376

Solution : To find the last three digits of a product, we can ignore the first two digits and multiply the remaining digits.
Ignoring the first two digits of 654321 and 123456, we have 321 × 456.
Multiplying these digits, we get 146376.
Hence, the correct answer

Correct Answer: (4)

Solution : The correct choice is the fourth option, No improvement.

The verb form used is correct in the sentence and conveys the intended meaning.

Correct Answer: Amorphous

Solution : The correct choice is the first option.

Shapeless means not having a clear shape. Amorphous is an appropriate synonym, as it denotes having no fixed form or shape.

The meaning of the other options is:

• Amortisation: It is an accounting technique used to periodically lower

Correct Answer: Father's brother

Solution : Given:
D – E means D is the brother of E,
F – G means F is the brother of G,
E # F means E is the father of F.

As per the given information, the family tree will be as follows –

Correct Answer: 10th

Solution : The correct answer is 10th.

Ganga Dussehra happens every year on the 10th day (Dashami) of the Shukla Paksha (waxing phase of the moon) of the Jyeshtha month in the Hindu calendar. This festival is dedicated to the worship of the Ganges River and

Correct Answer:

Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the first option figure.

Hence, the first option is correct.

Correct Answer: INR 6,400

Solution : Investment Ratio = $3:2$
The profit ratio will also be the same.
$\therefore$ Profit ratio of Anam and Bikash = $3:2$
Profit Anam got = INR 3,840
⇒ Profit got by Bikash = $3840 \times \frac{2}{3}=2560$
$\therefore$ Total profit = INR 3,840 + INR

Correct Answer: retrieve

Solution : The first option is the correct choice.

Retrieve means to get or bring something back from somewhere, as per the context of the question.

The meanings of the other options are as follows:

• Retrace means to get or bring something back from somewhere.
• Retract means

Correct Answer: Gujarat

Solution : The correct option is Gujarat.

Gujarat features the longest coastline of any Indian state, extending approximately 1,600 kilometres along the country's western coast, with the Arabian Sea to its west. In comparison, Andhra Pradesh spans about 974 kilometres of coastline, Maharashtra has approximately 720 kilometres,