Correct Answer: 936

Solution : Given:
1. I like chocolates ⇒ 958
2. We bought chocolates ⇒ 153
3. We like them ⇒ 816

By comparing all the above–coded sentences, we find that –
In sentences 1 and 2, chocolates is a common word and 5 is a common code.
In sentences 2 and 3, We are a common word and 1 is a common code.
In sentences 1 and 3, like is a common word and 8 is a common code.
The remaining word and code are in sentence 1 I and 9; in sentence 2 bought, and 3; and in sentence 3 them and 6.
Finally, chocolates ⇒ 5; We ⇒ 1, like ⇒ 8, I ⇒ 9, bought ⇒ 3, them ⇒ 6

So, I bought them will be coded as 936. Hence, the first option is correct.

Correct Answer: (2)

Solution : The correct choice is the second option.

The error was in the use of, "in" instead of "into".

"Jumped into the river" is the correct phrase to indicate the action of entering the river, which involves motion.

Therefore, the correct sentence is: The beautiful, young girl jumped into the river in a state of depression.

Correct Answer: 1969

Solution : The correct answer is 1969

Raja Harishchandra, the first Indian feature film, was directed by Dadasaheb Phalke, regarded as the Father of Indian Cinema, in 1913. In 1969, the Indian government instituted the Dadasaheb Phalke Award in his honour. The first recipient of the government-instituted Dadasaheb Phalke Award was Devika Rani, dubbed "the first lady of Indian cinema."

Correct Answer: 2

Solution : The correct option is the second option.

Explanation: 

Respectably means in a manner that is worthy of respect or in a respectable manner. In the context of the sentence, it indicates that the businessman is connected in a respectable or proper way.

The meanings of the other options are as follows:

• Respectfully is used to indicate polite or courteous behaviour towards someone.
• Receptively means being open to receiving or accepting something, such as ideas or information.

Therefore, the correct sentence is: The businessman is respectably connected.

Correct Answer: Andhra Pradesh

Solution : The correct answer is Andhra Pradesh.

The eastern coast of India, particularly the coastal areas of Andhra Pradesh, is more prone to the impact of violent tropical cyclones. The Bay of Bengal, located to the east of India, is a hotspot for cyclone formation, and cyclones originating in this region often make landfall along the eastern coast, affecting states like Andhra Pradesh and Odisha.

Correct Answer: 7

Solution : Given:
FIRE is coded as 7391, and AGED is coded as 8247.

To obtain the required code compare both words and find out the common alphabet and number.
On comparing, both words the alphabet E and the number 7 are common.

So, E is coded as 7. Hence, the second option is correct.

Correct Answer: Only 4

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs of faces are as follows –

As per the above diagram and rules, the below figure can be formed.

Hence, the first option is correct.

Correct Answer: $4$

Solution : It is known that the area of the equilateral triangle = $\frac{\sqrt{3}}{4}a^2$
Where $a$ is the side of the equilateral triangle.
It is given that the area of the equilateral triangle is $4\sqrt{3}$ cm$^2$
So, $\frac{\sqrt{3}}{4}a^2$ = $4\sqrt{3}$
⇒ $a^2 = 16$
⇒ $a = 4$ cm
Hence, the correct answer is 4.
.

Correct Answer: 5

Solution : The Venn diagram given below shows the artists in a music school. The Triangle represents Pianists, the Circle represents Drummers, the Rectangle represents Guitarists and the Square represents Singers.
In the diagram, the shaded parts represent the singers are also pianists and guitarists but not Drummers.

Thus, the number of singers who are also pianists and guitarists but not drummers is 5. Hence, the second option is correct.

Correct Answer: 1 : 2

Solution : The radius of the sphere ($R$) = 6.3 cm
The height of the cone ($h$) = 25.2 cm
Volume of sphere = $\frac{4}{3} \pi R^3$
Volume of cone = $\frac{1}{3} \pi r^2h$
According to the question
$\frac{4}{3} \pi R^3$ = $\frac{1}{3} \pi r^2 h$
⇒ ($\frac{4}{3}$) × 6.3 × 6.3 × 6.3 = $\frac{1}{3} \times r^2 \times 25.2$
⇒ $r = \sqrt{\frac{4 \times 6.3 \times 6.3 \times 6.3}{25.2}}$
⇒ $r = 6.3$
Diameter = 2 × 6.3 = 12.6 cm
So, the required ratio = 12.6 : 25.2 = 1 : 2
Hence, the correct answer is 1 : 2.