Correct Answer: ablity

Solution : The third option is the correct answer.

The correct spelling is ability. Ability refers to the capacity to do something or the quality of being able to perform a particular action or task. It is the correct spelling for the word denoting capability or skill.

The meanings of other options are as follows:

• A pupil is a person who is taught by another, especially a schoolchild or student, about a teacher.
• Capacity means the maximum amount that something can contain.
• A teacher is a person who teaches, especially in a school.

Correct Answer: 5 : 61 : 213 : 997

Solution : Let the numbers be $x$, $2x$, $3x$ and $5x$ respectively. According to the question,
$⇒ 2(x + 2x + 3x + 5x) = 44$
$⇒ 11x = \frac{44}{2}$
$⇒ x = \frac{22}{11} = 2$
So, the numbers are 2, 4, 6 and 10 respectively.
Cube of the numbers are 8, 64, 216, and 1000
Subtracting 3 from each term to get the required ratio$= 5 : 61 : 213 : 997$
Hence, the correct answer is 5 : 61 : 213 : 997.

Correct Answer: Blasphemy

Solution : The second option is the correct choice.

Redemption refers to the action of saving or being saved from sin, error, or evil. It can also mean the act of regaining or gaining something back, often in a positive sense. Blasphemy refers to the act of speaking irreverently or contemptuously about sacred things, religious beliefs, or deities.

The meanings of the other words are as follows:

• Salvation refers to the act of saving or being saved from harm, danger, or a dire situation.
• Corrugation refers to the process or the result of forming a series of parallel ridges, folds, or grooves in a material, typically in a regular pattern.
• Conjunction is a part of speech in grammar that connects words, phrases, or clauses within a sentence.

Therefore, the correct answer is blasphemy.

Correct Answer: $\frac{25}{27}$

Solution : Here, $\cot \theta = \frac{\text {Base}} {\text{Perpendicular}}$
Let Base = 4 units and Perpendicular = 3 units
Now, Using the Pythagoras theorem,
$H^2 = P^2 + B^2$
⇒ $H = \sqrt{(P2 + B2)}$
⇒ $H = \sqrt{(32 + 42)}$
⇒ $H = \sqrt{(9 + 16)}$
⇒ $H = \sqrt{(25)}$
⇒ H = 5
So, $\cos \theta = \frac{4}{5}$ and $\sin \theta = \frac{3}{5}$
Now, $5 p \cos ^2 \theta \sin \theta=\cot ^2 \theta$
⇒ $5p (\frac{4}{5})^2\frac{3}{5} = (\frac{4}{3})^2$ 
⇒ $5p (\frac{16}{25})(\frac{3}{5}) = (\frac{16}{9})$ 
⇒ $p (\frac{3}{25})= (\frac{1}{9})$ 
⇒ $p = (\frac{1}{9})(\frac{25}{3})$ 
⇒ $p = (\frac{25}{27})$ 
Hence, the correct answer is $\frac{25}{27}$.

Correct Answer: Dhubri

Solution : The correct answer is Dhubri.

The Brahmaputra River runs west till it reaches Dhubri, Assam. From there, it divides south in the Garo highlands and flows close to Golpara, Bangladesh. It flows past Chilmari, Bangladesh, joins the Tista River on its right bank and continues straight south for 240 km (150 mi) as the Jamuna River.

Correct Answer:

Solution : In the 3D view of dice,
1. Each face out of the three faces in the 3D view should be from all the pairs.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure.
So, the opposite pairs of faces are as follows –

Thus,

is possible and will be formed by folding the dice. Hence, the third option is correct.

Correct Answer: 3

Solution : The correct choice is the third option.

Explanation: Here, will be a is the correct choice to convey that the conference is a celebration of women's achievements in the future. Will be a is the future tense of the verb to be followed by the indefinite article a, since the celebration starts with a consonant sound. The simple future tense is used for the action that will happen in the future.

Other options are as follows:

• Will been a is not grammatically correct. Been is the past participle form of the verb to be, and it doesn't fit in this context.
• Would be an is often used to express a conditional or hypothetical situation, which is not suitable in this context.

Therefore, the correct sentence would be: "The conference will be a celebration of women's achievements."

Correct Answer:

Solution : Because there is no restriction on the rotation of the figure, we will check all the possible angles where the question figure can fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the third option figure.

Hence, the third option is correct.

Correct Answer: Ionic

Solution : The correct answer is Ionic.

The interaction that takes place in ionic compounds is called ionic bonding, which is a kind of chemical bonding that involves the electrostatic attraction between oppositely charged ions or between two atoms with dramatically differing Electronegativity.

Correct Answer: 135

Solution : Let the number of failed students be $x$.
Total marks obtained = 180 × 50 = 9000
According to the question,
40$x$ + (180 – $x$) × 80 = 9000
⇒ 40$x$ + 14400 – 80$x$ = 9000
⇒ 40$x$ = 5400
⇒ $x$ = 135
Hence, the correct answer is 135.