Correct Answer: 6 and 4

Solution : Taking dice positions 1 and 2 with 7 as the common face –

Moving clockwise from the common face with 7 –

So, the opposite faces of the dice are –

The opposite face of 3 is 7, so, 7 cannot be the

Correct Answer: consumption by the citizens of the country 

Solution : The correct answer is consumption by the citizens of the country.

The term collective consumption was first used in 1977 by Manuel Castells. Collective consumption means the production or manufacturing of anything collectively for the consumption of all

Correct Answer: USA

Solution : Given:
Hockey : India :: Baseball : ?

Like, Hockey is the national sport of India.
Similarly, Baseball is the national sport of the USA.

Hence, the fourth option is correct.

Correct Answer: BOAST

Solution : Given:

Here, all the letters are coded with the equivalent code given in the question.
Therefore,

Thus, the decoded word is BOAST. Hence, the first option is correct.

Correct Answer: Shyam, so good with weapons, fail to find the words

Solution : The second option is correct.

The subject Shyam is singular, and so the verb should also be singular to match.

The verb fail is in the plural form, so it should be replaced with fails to

Correct Answer: (128, 949, 821)

Solution : Given:
(14, 55, 41); (36, 99, 63)

Here, (14, 55, 41)→14 + 41 = 55
(36, 99, 63)→36 + 63 = 99

Let's check the options –
First option: (76, 153, 67)→76 + 67 = 143 ≠ 153
Second option:(128, 949, 821)→128

Correct Answer: 752563

Solution : If the difference between the sum of the digits at the odd places and the sum of digits at even places of the number is 0 or divisible by 11, then the number is divisible by 11.
Option 1: 1735624
The sum of digits at

Correct Answer: 173

Solution : Given:
31, 97, ?, 259, 355, 461

The difference between the numbers of the given series holds the common difference of 10, as shown below –

So, 173 is the missing number of the series. Hence, the fourth option is correct.

Correct Answer: $\frac{5}{2}$

Solution : Given: $x+\frac{1}{x}=3$
To find: $\frac{3x^{2}-4x+3}{x^{2}-x+1}$
Dividing with $x$ on both numerator and denominator,
= $\frac{3x-4+\frac{3}{x}}{x-1+\frac{1}{x}}$
= $\frac{3(x+\frac{1}{x})-4}{(x+\frac{1}{x})-1}$
= $\frac{(3×3)-4}{3-1}$
= $\frac{5}{2}$
Hence, the correct answer is $\frac{5}{2}$.

Correct Answer: Cr

Solution : The correct answer is Cr.

The metal ion that is often released from the tannery industry and can cause acute water pollution is chromium. Specifically, it is usually hexavalent chromium (Cr(VI)) that poses a significant environmental concern. Tanneries use chromium in the tanning process,