Correct Answer: Peaceful together

Solution : The first option is correct.

• Replace peaceful with peacefully to make the sentence correct.
• Peacefully refers to an adverb that means to act in a peaceful manner.
• Peaceful is an adjective, while peacefully is an adverb.

Therefore, the correct sentence would

Correct Answer: Secret

Solution : Given:
Clear is related to Open.

Like, the synonym of clear is open.
Similarly, the synonym of confidential is secret.

Hence, the fourth option is correct.

Correct Answer: 1463

Solution : Given:
4 : 84 :: 11 : ? :: 13 : 2379

Find the cube of the first number and add this to the product of the first number and the number preceding the first number –
⇒ 4 : 84→4³ + (4 ×

Correct Answer: 28 : 5

Solution : Given: Total examinees = 132
Number of pass students = $\frac{9}{11}$ × 132 = 108
Number of fail students = 132 – 108 = 24
If 4 more students pass, the number of pass students = 108 + 4 = 112
The number

Correct Answer: 56.25

Solution : Effective change = $x+y+\frac{xy}{100}$
The increase takes the positive percentage values and the decreases take the negative percentage values of $x$ and $y$.
⇒ $x-20-\frac{20x}{100} = 25$
⇒ $x-\frac{x}{5} = 45$
⇒ $\frac{4x}{5} = 45$
⇒ $x = \frac{45×5}{4}= \frac{225}{4}=56.25$%
Hence, the correct answer is

Correct Answer: at rest

Solution : The correct option is at rest.

Static equilibrium is the state in which all of the forces acting on an object are balanced, and it is not moving concerning the relative plane. A book at rest on top of a table and a ball

Correct Answer: Allmost

Solution : The correct choice is the third option.

The correct spelling is almost, and the wrong word contains an extra 'l' in it. It is an adverb that means very nearly, but not exactly or entirely.

The meanings of the other options are as follows:

• Treble 

Correct Answer: $12\frac{1}{2}\ \text{km/hr}$

Solution : Given:
Total distance = 100 km
The distance covered in the first 2 hours at 20 km/hr:
Distance = Speed × Time = 20 × 2 = 40 km
Distance left to cover is (100 – 40) = 60 km
Time taken to cover

Correct Answer: centroid

Solution : In a $\triangle ABC$, AD, BE and CF are the medians from vertices A, B, and C.
The point of intersection of AD, BE and CF is called the centroid.
Hence, the correct answer is the centroid.

Correct Answer: 9

Solution : Given: $(x+\frac{1}{x})\neq 0$ and $(x^3+\frac{1}{x^3})=0$
$(x+\frac{1}{x})^3=x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})$
Substitute the value of $(x^3+\frac{1}{x^3})=0$ in above equation, we get,
⇒ $(x+\frac{1}{x})^3=0+3(x+\frac{1}{x})$
⇒ $(x+\frac{1}{x})^3=3(x+\frac{1}{x})$
⇒ $(x+\frac{1}{x})^{3–1}=3$
⇒ $(x+\frac{1}{x})^2=3$
On squaring both sides of the above equation, we get,
⇒ $((x+\frac{1}{x})^2)^2=3^2$
⇒ $(x+\frac{1}{x})^4=9$
Hence, the correct answer is 9.