Correct Answer: 0.0096

Solution : The area of a trapezium = $\frac{1}{2}$ × sum of lengths of parallel sides × height
Substituting the given values,
The area of the trapezium = $\frac{1}{2}$ × (17 + 15) × 6 = 96 cm² 
We know that, 1 m² = 10,000

Correct Answer: 2340

Solution : HCF of two numbers = 12
Ratio of two numbers = 13 : 15
Let $13x$ and $15x$ be the two numbers.
HCF of $13x$ and $15x = x$
$\therefore x =12$
LCM of $13x$ and $15x = 13×15×x = 13×15×12 = 2340$
Hence, the

Correct Answer: As

Solution : The correct option is As.

The chemical symbol of Arsenic is As. A metalloid in Group 15 of the periodic table has atomic number 33. Arsenic is known for its toxic properties and various allotropes. It is used in certain alloys and technologies

Correct Answer: SOAP

Solution : Given:
GOSSIPING

Now, let's compare all the option words with the word GOSSIPING –
First option: SOAP; A is not present in the word GOSSIPING. Therefore, all the letters of SOAP are not present in the word GOSSIPING.
Second option: PING; All the letters of

Correct Answer: All conclusions follow

Solution : The possible Venn diagram for the given statements –

Let's analyse the conclusions –
Conclusion (I): Some intelligent are beautiful – According to the Venn diagram, the circle of intelligent and the circle of beautiful intersect and have a common area between them.

Correct Answer: 1

Solution : The correct choice is the first option.

• The phrase is being seeping, should be replaced with is seeping to convey the intended meaning that gas is leaking out of the rocks.
• Is being seeping is grammatically incorrect. Is seeping uses the present continuous tense,

Correct Answer: 1

Solution : Given: $x = 19$ and $y= 18$
Since, $x^{3}-y^{3} = (x-y)(x^{2}+y^{2}+xy)$
$\therefore\frac{x^{2}+y^{2}+xy}{x^{3}-y^{3}}=\frac{x^{2}+y^{2}+xy}{ (x-y)(x^{2}+y^{2}+xy)}=\frac{1}{x-y}=\frac{1}{19-18}= 1$
Hence, the correct answer is 1.

Correct Answer: honorary

Solution : The correct choice is the second option.

Explanation:
The term honorary is specifically used to describe a situation where someone holds a position, title, or office without receiving payment or remuneration for their services. It signifies that the individual is serving in an honorary capacity

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

Correct Answer: were seen

Solution : The correct answer is the first option.

Explanation: The correct option is "were seen" because it maintains subject-verb agreement. In the sentence, the subject "lots of kids" is plural, so the verb should also be in the plural form, which is "were" in this