Correct Answer:

Solution : Ornaments can be made from both gold and silver. Therefore, both circles will be inside the circle of ornaments. But there is no direct relationship between gold and silver. So, both the circles will not overlap with each other.
Based on the above conclusions, the following

Correct Answer: 8 : 3

Solution : Let the first number as $x$ and the second number as $y$.
According to the question,
$\frac{45x}{100} = \frac{6y}{5}$
$⇒\frac{x}{y} = \frac{6×20}{5×9}$
$\therefore \frac{x}{y} = \frac{8}{3}$
Hence, the correct answer is 8 : 3.

Correct Answer: emulation

Solution : The fourth option is the correct choice.

"Emulation" means striving to surpass the achievements of someone, and it fits perfectly in the sentence.

The meanings of the other options are as follows:

• "Copying" means the act of duplicating.
• "Aping" means to imitate.
• "Simulation" means replicating.

Correct Answer: 30 cm

Solution : Length of median of the equilateral triangle = $\frac{\sqrt{3}}{2}$ × side
Let the side of the equilateral triangle be a cm.
Length of median of the triangle = $\frac{\sqrt{3}}{2}$ × a
⇒ $\frac{\sqrt{3}}{2}$ × a = 15$\sqrt{3}$
$\therefore$ a = 30 cm
Hence, the

Correct Answer: 67

Solution : Given:
24 – 3 ÷ 4 × 45 + 5 = ?

After interchanging the signs as per the instructions, the equation becomes –
= 24 × 3 + 4 – 45 ÷ 5 
= 24 × 3 + 4 – 9 
= 72 +

Correct Answer: 108000

Solution : Total number of taxis = 25 +120 + 35 + 75 + 95 + 10 = 360
If each taxi runs 100 km daily, and cost of fuel is Rs. 3.
Then, total cost on fuel = 360 × 100 × 3 = Rs. 108000

Correct Answer: $45^{\circ}$

Solution :
Exterior angles obtained on producing the base $BC$ of a $\triangle ABC$ in both ways are $120^{\circ}$ and $105^{\circ}$.
⇒ $\angle ABC = 180^{\circ} -120^{\circ}=60^{\circ}$
⇒ $ \angle ACB= 180^{\circ}-105^{\circ}=75^{\circ}$
In $\triangle ABC$,
$\angle ABC+\angle ACB+\angle BAC=180^{\circ}$
⇒ $\angle BAC=180^{\circ}-60^{\circ}-75^{\circ}=45^{\circ}$
Hence, the correct answer is

Correct Answer: Only conclusion II follows

Solution : The possible Venn diagram according to the statements given in the question is –

Let's check each conclusion –
Conclusion (I): Some tulips are orchids – According to the Venn diagram, there is no definite relation between tulips and orchids. So, this

Correct Answer: Vajji

Solution : The correct answer is Vajji.

Vajji was a confederation of 8 clans known as atthakula, of which the Vajji, Licchavis, Jnatrikas, and Videhas are the most prominent. Vajji was one of the 16th mahajanapadas, and the Vajjis were part of a gaṇastha (aristocratic oligarchy) republic.

Correct Answer: Article 14

Solution : The correct option is Article 14.

Article 14 of the Indian Constitution states: "The State shall not deny to any person equality before the law or the equal protection of the laws within the territory of India". This article ensures that every individual