Correct Answer: (5, 60)

Solution : Let's check the options –
First option: (7, 89); (7 × 12) + (7 – 2) = 84 + 5 = 89
Second option: (8, 102); (8 × 12) + (8 – 2) = 96 + 6 = 102
Third option: (5, 60); (5 × 12) + (5 – 2) = 60 + 3 = 63 ≠ 60
Fourth option: (6, 76); (6 × 12) + (6 – 2) = 72 + 4 = 76

So, the third option does not follow the logic and is different from the others. Hence, the third option is correct.

Correct Answer: 2

Solution : The error lies in the second part of the sentence.

Explanation: The phrase, "the reason for his failure is because" is redundant. Both "the reason" and "because" convey the idea of causation. To correct this redundancy, we should use "the reason for his failure is that". In this case, using "that" results in a clearer and more concise sentence.

Therefore, the correct sentence should be: "The reason for his failure is that he did not work hard."

Correct Answer: no antibody

Solution : The correct option is no antibody.

Individuals with blood type AB do not naturally develop antibodies against the ABO blood group antigens. The four major blood types are A, B, AB, and O. Each blood type has different antigens on the surface of red blood cells, and people may have naturally occurring antibodies against antigens they don't have. Because type AB people have both A and B antigens on their red blood cells and do not normally create anti-A or anti-B antibodies, their plasma may be safely transfused to people with other blood types without provoking an immunological reaction.

Correct Answer: 3abc

Solution : Given: a + b + c = 0
a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)
⇒ a³ + b³ + c³ – 3abc = (0)(a² + b² + c² – ab – bc – ca)
⇒ a³ + b³ + c³ – 3abc = 0
⇒ a³ + b³ + c³ = 3abc
Hence, the correct answer is 3abc.

Correct Answer: Potable

Solution : The second option is the correct choice.

The meaning of the marked option is:

• Potable: Safe to drink; drinkable.

The meanings of the other options are:

• Delectable: Of food or drink delicious.
• Feasible: Possible to do easily or conveniently.
• Edible: Fit or suitable to be eaten.

Hence, the correct answer is potable.

Correct Answer: Indian National Congress

Solution : The correct answer is the Indian National Congress.

The Indian National Congress was established on December 28, 1885, and it was started by a retired British Civil Servant, A. O Hume. It was founded by a group of educated people in Bombay, with 72 founding members. The first president of the Indian National Congress was W. C. Banerjee. Mahatma Gandhi also became the President of this party in the 1924 session. Pandit Jawaharlal Nehru, the first prime minister of India, also belonged to this party.

Correct Answer: Khan Abdul Ghaffar Khan

Solution : The correct answer is Khan Abdul Ghaffar Khan.

The Red Shirt movement, also known as Khudai Khidmatgar (Persian for "Servants of God"), was founded in 1930 in India's North-West Frontier Province in support of the Indian National Congress. This organisation was formed under the leadership of Khan Abdul Ghaffar Khan, who was also known as "Bacha Khan" or "Frontier Gandhi." Khan Abdul Ghaffar Khan was a prominent leader and social reformer among the Pashtuns (Pathans) and played a significant role in the Indian independence movement.

Correct Answer: 1

Solution : $\frac{p^{2} - (q - r)^{2}}{(p + r)^{2} - (q)^{2}}$ + $\frac{q^{2} - (p - r)^{2}}{(p + q)^{2} - (r)^{2}}$ + $\frac{r^{2} - (p – q)^{2}}{(q + r)^{2} - (p)^{2}}$
= $\frac{(p + q - r)(p - q + r)}{(p + q + r)(p - q + r)} + \frac{(p + q - r)(-p + q + r)}{(p + q + r)(p + q - r)} + \frac{(p - q + r)(–p+ q + r)}{(p + q + r)(–p + q + r)}$
= $\frac{p + q - r - p + q + r + p -q + r}{p + q+ r}$
= $\frac{p + q + r}{p + q + r}$
= $1$
Hence, the correct answer is 1.

Correct Answer:

Solution : According to the given figure series, in every alternate box, the geometrical figures/ numbers/ letters shift their position following the below pattern –
1. From Box 1 to Box 2 – Top centre ⇔ Bottom centre; Bottom left ⇔ Bottom right; Top left→Centre of the box→Top right→Top left

2. From Box 2 to Box 3 – Top centre→Bottom centre→Centre of the box→Top centre; Top left→Top right→Bottom left→Bottom right

3. After every two boxes, the bottom right symbol changes to an uncommon symbol (not used previously in the given figure series) while shifting its position to the top left.
So, following the above pattern, the required figure will be –

Hence, the first option is correct.

Correct Answer: Diluted acetic acid

Solution : The correct answer is Diluted acetic acid.

Vinegar is a diluted acetic acid solution often comprising 4-8% acetic acid in water. Glacial acetic acid, on the other hand, is pure acetic acid in its concentrated state and often appears as a clear, colourless liquid. Although vinegar includes Acetic acid, it differs from glacial acetic acid due to its lower concentration and the presence of other components in the solution.