Correct Answer: riegn

Solution : The correct choice is the fourth option.

The incorrectly spelt word is "riegn". Reign is the correct spelling. It means to rule as a monarch or authority.

The meanings of the other options are as follows:

• Pierce means to go into or through something.
• Relieve 

Correct Answer: Whimsical

Solution : Given:
Alluring : Beautiful :: Playful : ?

Like, alluring and beautiful are synonyms of each other.
Similarly, the synonym for playful is whimsical.

Hence, the first option is correct.

Correct Answer: (13, 7, 273)

Solution : Given:
(17, 12, 612); (6, 14, 252)

Multiply the product of the first and second numbers by 3, to get the third number –
(17, 12, 612)→17 × 12 × 3 = 612
(6, 14, 252)→6 × 14 × 3 = 252

Let's

Correct Answer: $(x - 5) (x - 2) (x - 3)$

Solution : Given: The equations are $x^2- 8x + 15$ and $x^2- 5x + 6$.
LCM is the product of every prime factor that is present in the numbers to the greatest power.
The factors of $x^2-8x+15$ is given

Correct Answer: 2

Solution : The correct option is 2.

The minimum of forces needed to maintain a particle in equilibrium is two. This is because a particle in equilibrium is not accelerating. The net force acting on a particle must be zero for it not to accelerate. A single

Correct Answer: Kannada

Solution : The correct answer is Kannada.

Kavirajamarga is the oldest known grammar, rhetoric, and poetics text on Kannada grammar. The renowned Rashtrakuta King Amoghavarsha inspired it or contributed to its writing, and other historians believe it was partially inspired by the Sanskrit text Kavyadarsha.

Correct Answer: 10 km

Solution : Firstly, we will draw the diagram as per the given instructions –

In the above figure, O is the starting point and C is the finishing point. So, OC is the distance from the starting point. Here, OC = AB = 10 km.

So,

Correct Answer: 0.25 and 0.35

Solution : Given:
$\frac{0.325 \times 0.325+0.175 \times 0.175-25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}$
$=\frac{0.325 \times 0.325+0.175 \times 0.175-2 \times 0.325\times0.175}{(0.325)^2- (0.175)^2 }$
$=\frac{(0.325 -0.175)^2}{(0.325+0.175)(0.325-0.175) }$
$=\frac{(0.325 -0.175)}{(0.325+0.175) }$
$=0.3$
Hence, the correct answer is 0.25 and 0.35.

Correct Answer: 25

Solution : Let the speed of the boat be $x$ km/h.
Given: The speed of current = 5 km/h
Therefore, upstream speed of boat = $(x-5)$ km/h
Downstream speed of the boat = $(x + 5)$ km/h
According to the question,
$ \frac{10}{x-5}+\frac{10}{x+5}=\frac{50}{60} $
⇒ $10 \left(\frac{x+5+x-5}{x^{2}-25}\right)=\frac{5}{6}$

Correct Answer: 50000

Solution : Let the number of tickets be $3n, 2n,$ and $5n$.
According to the question,
$(3n×1000)+(2n×500)+(5n×200) = 25000000$
⇒ $3000n+1000n+1000n = 25000000$
⇒ $5000n = 25000000$
⇒ $n = \frac{25000000}{5000}$
$\therefore n= 5000$
So, total number of tickets $=(3n+2n+5n) = 10n= (10 × 5000) = 50000$