Correct Answer: 853

Solution : Here, in the given equations, each number is reduced by 1 and placed at hundreds, tens and units place respectively.

⇒ 8 x 7 x 6 = 765

⇒ 5 x 3 x 2 = 421

Similarily, 9 x 6 x 4 = 853

Hence,

Correct Answer: 90

Solution : Let the average score of boys as B and the average score of girls as G.
Given that $33 \frac{1}{3} \%$ of the students are boys.
The number of boys = 45 × $\frac{1}{3}$ = 15
The number of girls = 45 – 15 =

Correct Answer: Ore 

Solution : Given:

Garbage : House :: Gangue : ?

The relationship appears to be that garbage is typically found or associated with a house.

Now, let's apply the same logic to the second part of the analogy:

Gangue is a term used in mining to

Correct Answer: 27

Solution : (A + B) can do $\frac{1}{18}$th of the task in 1 hour.
In 6 hours that A and B worked together, they did $\frac{6}{18}=\frac{1}{3}$rd of the task.
What remained after that was $\frac{2}{3}$rd which was done by B alone, in 36 hours.
So, in 36

Correct Answer: Montreal

Solution : The correct option is Montreal.

the Secretariat of the Convention on Biological Diversity (CBD) was based in Montreal, Canada. The Convention on Biological Diversity (CBD) is an international treaty that aims to conserve biodiversity and promote sustainable use of biological resources.

Correct Answer: Absolution

Solution : The correct option is the second option.

Explanation:
Absolution refers to the formal forgiveness granted by a religious authority for a person's sins. It is often part of religious rituals like confession in Christianity.
The meanings of the other options are as follows:

• Ablutions refer

Correct Answer: 2

Solution : In the original sentence, the verb "make" is used, meaning to create or produce jokes. However, a more suitable verb is "crack," which means to tell or share jokes.

Therefore, the sentence should read, "I can't allow you to crack jokes in the class."

Correct Answer: $a^2+b^2$

Solution : Given: $x=a\cos\theta + b\sin\theta$ and $y=b\cos\theta-a\sin\theta$
To find: $x^{2}+y^{2}$
Putting the value of $x$ and $y$, we get
$(a\cos\theta+b\sin\theta)^{2}+(b\cos\theta-a\sin\theta)^{2}$
 $(a^2\cos^2\theta+b^2\sin^2\theta+2×a\cos\theta×b\sin\theta)+(b^2\cos^2\theta+a^2\sin^2\theta-2×b\cos\theta×a\sin\theta)$
$=a^2\cos^2\theta + b^2\sin^2\theta+b^2\cos^2\theta+a^2\sin^2\theta$
$=a^2(\cos^2\theta+sin^2\theta)+b^2(sin^2\theta+\cos^2\theta)$
We know that, $(sin^2\theta+\cos^2\theta)=1$
Thus, $a^2(1)+b^2(1)$= $a^2+b^2$
Hence, the correct answer is $a^2+b^2$.

Correct Answer: E

Solution : Given:
Q, O, M, K, I, G, ?

Subtract 2 to the place value of each letter to get the next letter of the series.
Q – 2 = O; O – 2 = M; M – 2 = K; K – 2 = I;

Correct Answer: 8400

Solution : Let the amount received by each son be Rs. $x$.
The amount received by each daughter = 1.5$x$
The amount received by wife = $x$ – 600
Total amount = Rs. 19000
According to the question,
$3x + 2(1.5x) + x- 600 = 19000$
⇒$