Correct Answer: Manganese

Solution : The correct answer is Manganese.

Pyrolusite is a mineral, essentially containing Manganese dioxide, and is an important ore of Manganese. The colour of Pyrolusite is darkish or black-grey. It has a chemical formula MnO₂. Manganese is a chemical element with atomic number 25, and it is represented by the symbol Mn.

Correct Answer: (2)

Solution : The correct answer is the second option.

"Did" and "had" are in the past tense, but the sentence is set in the present tense. Hence, "do" and "have" must be used as per simple present tense.

Therefore, the correct statement should be "One of my drawbacks is that I do not have tolerance of ambiguity".

Correct Answer: indeed

Solution : The correct choice is the second option.

It is used to emphasise a statement, indicating that something is true or accurate. In the given sentence, it adds emphasis to the extraordinariness of the discovery.

The meanings of the other options are as follows:

• Novelly: It is derived from "novel", which means new or unique.
• Always: It refers to all instances or at all times.
• Beautifully: It describes something in a beautiful manner.

Therefore, the complete sentence is: The new discovery is indeed phenomenal.

Correct Answer: Haryana

Solution : The correct option is Haryana.

The state of Haryana had the lowest sex ratio in India, according to the 2011 Census. The sex ratio is the number of females per 1000 males. The sex ratio in Haryana was 879 females per 1000 males. This ratio reflects a significant gender imbalance, with fewer females compared to males in the population.

Correct Answer: –1

Solution : Given: $x(x-5)=-1$
⇒ $x-5=-\frac{1}{x}$
⇒ $x+\frac{1}{x}=5$
Cubing both sides, we get:
⇒ $(x+\frac{1}{x})^3=5^3$
⇒ $x^3+\frac{1}{x^3}+3(x\times\frac{1}{x})(x+\frac{1}{x})=125$
⇒ $x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=125$
​​​​​​​⇒ $x^3+\frac{1}{x^3}+3\times5=125$
​​​​​​​​​​​​​​​​​​​​​​​​​​​​⇒ $x^3+\frac{1}{x^3}=110$
​​​​​​​​​​​​​​​​​​​​​​​​​​​​⇒ $x^3-110=-\frac{1}{x^3}$
$\therefore x^3(x^3-110)=-1$
Hence, the correct answer is –1.

Correct Answer: XSSPQEOIV

Solution : Given: 
HARMONIUM is coded as LEVQSRMYQ.

Add 4 to the place value of each letter of HARMONIUM to obtain the required code –
H + 4 = L; A + 4 = E; R + 4 = V; M + 4 = Q; O + 4 = S; N + 4 = R; I + 4 = M; U + 4 = Y; M + 4 = Q
Thus, HARMONIUM is coded as LEVQSRMYQ.
Similarly, follow the same pattern for TOOLMAKER –
T + 4 = X; O + 4 = S; O + 4 = S; L + 4 = P; M + 4 = Q; A + 4 = E; K + 4 = O; E + 4 = I; R + 4 = V

So, TOOLMAKER is coded as XSSPQEOIV. Hence, the second option is correct.

Correct Answer: 1,04,025

Solution : The total number of votes is 1,46,000. Given that 5% of the votes were invalid, the number of invalid votes is 5% of 1,46,000, which is 0.05 × 1,46,000 = 7,300 votes
Therefore, the total number of valid votes is 1,46,000 – 7,300 = 1,38,700 votes
The candidate received 75% of the total valid votes, which is 75% of 1,38,700, or 0.75 × 1,38,700 = 1,04,025 votes
Hence, the correct answer is 1,04,025.

Correct Answer: Article 127

Solution : The correct option is Article 127.

In the Indian Constitution, the appointment of ad hoc judges is covered by Article 127 for the Supreme Court and Article 224A for the High Courts. These articles outline the situations where such appointments can be made, the eligibility criteria for the chosen judges, and the duration of their tenure. In both cases, ad-hoc judges are appointed to maintain a quorum for vital proceedings when sufficient permanent judges are unavailable.

Correct Answer: ascorbic acid

Solution : The correct option is ascorbic acid.

Scurvy is caused by insufficient ascorbic acid, also known as vitamin C, in the diet. Ascorbic acid is essential for synthesising collagen, a protein crucial for maintaining the integrity of connective tissues. Without adequate vitamin C intake, collagen synthesis is impaired, leading to symptoms such as general weakness, anaemia, gum disease, and skin bleeding characteristic of scurvy.

Correct Answer: With another person in their presence rather than, say, by phone or lelter

Solution : The correct choice is the first option.

Explanation: The idiom "face to face" means having a direct conversation with someone in their presence, typically in person, as opposed to using alternative forms of communication like phone calls or letters. In this context, the correct option emphasises discussing matters directly with another person rather than using other means.
  
Therefore, the correct answer would be: with another person in their presence rather than, say, by phone or letter.