The correct answer is option 4 i.e. 5.33 hours.

Suppose a man is doing 'm' units/hour, a woman is doing 'w' units/hour and a child is doing 'c' units/hour

According to the question,

8 × m × 2 = 4 × w × 3 = 6 × c × 4

Thus, the ratio of the work done by a man, woman, and child = 3 : 4 : 2 respectively.

Let the work done by man = 3 units/day

Let the work done by women = 4 units/day

Let the work done by the child = 2 units/day

So total work done = 8 × 3 × 2 = 48 units

Thus, if the same work is done by a man, a woman, and a child then the total time taken = 48/(3 + 4 + 2) = 48/9 = 5.33 hours

The correct answer is option 2 i.e. 6657.5.

CI - SI (for 2 years) = P × R²/10000

Compound interest = P(1 + R/100)^T - P

577.6 = P × 19²/100

577.6 = P × 361/10000

P = Rs. 16000

Compound interest = 16000(1 + 19/100)² - 16000

Compound interest = 16000(1.19)² - 16000 = 22657.6 - 16000 = Rs. 6657.6

The correct answer is option 2 i.e. P

Two people sit between A and T. So, there are two possible cases i.e. Case 1 and Case 2.

M sits to the immediate right of T. O sits at the corner of the table. R sits second to the left of O. So, Case 1 will be invalid.

Hence, the final arrangement:

Hence, P sits to the immediate right of O.

Hence, the correct answer is P.

The correct answer is option 1 i.e. HVG

Given series: ECR, PLU, AUX, LDA, WMD, ?

The logic used here is:

E +11 = P, P + 11 = A, A + 11 = L, L + 11 = W, W + 11 = H

C + 9 = L, L + 9 = U, U + 9 = D, D + 9 = M, M + 9 = V

R + 3 = U, U + 3 = X, X + 3 = A, A + 3 = D, D + 3 = G

The correct answer is option 3 i.e. Mission Mausam.

The Mission Mausam of the Ministry of Earth Sciences has been approved recently by the Union Cabinet chaired by PM Narendra Modi. The total budget outlay of the initiative is 2000 crores over two years and it will be implemented jointly by IMD, Indian Institute of Tropical meteorology and National Centre for Medium-Range weather forecasting. The initiative will boost India's weather and climate related science and exponentially expound capacity in atmospheric sciences.

The correct answer is Option 1 i.e. 1, 2 and 3.

Hinduism, Buddhism, and Jainism all believe in reincarnation, the concept that individuals undergo a cycle of birth, death, and rebirth. In Hinduism, reincarnation is tied to karma, where one's actions determine the form of rebirth. Buddhism shares the idea of rebirth but emphasizes achieving Nirvana to escape the cycle. Jainism also supports reincarnation, teaching that the soul undergoes multiple lives, and liberation (moksha) is attained through self-discipline and non-violence, freeing the soul from the cycle.

The correct answer is option 2 i.e. Coulomb’s Law.

• Coulomb's law deduces the expression for the force between two stationary point charges in a vacuum or free space.
• It was propounded by a French scientist named Coulomb in the 1780s. This law served as the basis for the development of the theory of electromagnetism.
• According to this law, "the electrostatic force between two point charges is proportional to the product of the two charges and inversely proportional to the square of the distance between those charges."
• Coulomb's law is true only for point charges.
• This rule is also not true for distances less than 10^-15 meters, because this force becomes unsuitable due to the predominance of nuclear force at distances less than 10^-15 meters.

The correct answer is Option 2 i.e. Siemens.

The SI unit for measuring electrical conductance is the Siemens (S). Named after the German inventor Ernst Werner von Siemens, one Siemens is equal to one ampere per volt (A/V). It quantifies how easily an electrical current can flow through a substance. Higher conductance values indicate better conductivity, while lower values indicate greater resistance to electrical flow. Siemens is widely used in various fields, including electronics, electrical engineering, and physics, to characterize the conductive properties of materials and components.

The correct answer is option 3 i.e. Ileum.

• The ileum, the final part of the small intestine, is specifically responsible for the absorption of vitamin B12.
• Vitamin B12 binds with intrinsic factor (a glycoprotein produced in the stomach) and is absorbed in the ileum through receptor-mediated endocytosis.
• A deficiency in vitamin B12 can lead to conditions such as pernicious anemia and neurological issues. The ileum's ability to absorb vitamin B12 is critical for maintaining adequate levels of this vitamin in the body.

The correct answer is option 1 i.e. 225

Given = 4a + 9b = 3

Squaring both sides, we get;

16a² + 81b² + 2 × 36ab = 9

Or, 16a² + 81b² = 9 – 2 × 36 × (-3)

Or, 16a² + 81b² = 9 + 216

So, 16a² + 81b² = 225