The correct answer is option 1 i.e. 315.

2⁸ × 3⁶ × 5⁴ 

If N = x^a × y^b × z^c

Total number of factors = (a + 1)(b + 1)(c + 1) ------ (1)

Using the formula (1), we get

Total number of factors of 2⁸ × 3⁶ × 5⁴ = (8 + 1)(6 + 1)(4 + 1)

⇒ (9 × 7 × 5)

⇒ 315

The correct answer is option 4 i.e. Rs. 4800

Initial profit = Rs. 9000

A got an additional income of 20% = 20% of 9000

⇒ 1800

Rest profit = 9000 - 1800

⇒ 7200

Profit of A = 7200 × 5/(5 + 7)

⇒ 3000

Total profit of A = 3000 + 1800

⇒ Rs. 4800

The correct answer is option 4 i.e. Q

1) P sits second to the right of Q 

2) P sits second to the right of V. V faces the center.

3) R sits third to the right of P, who faces outside.

4) W sits third to the right of T, who is immediate right of P.

5) Only one person sits between W and Q and both (W and Q) face outside.

6) Immediate neighbors of Q face the same direction but opposite to Q.

7) U sits third to the right of W and faces toward the center of the table.

8) R faces the same direction as T.

Hence, Q sits third to the right of R.

Hence, the correct answer is "Q".

The correct answer is option 1 i.e. LD.

Given series: HF, JI, LD, NO, PR, RU

The logic followed here is:

First letter: H + 2 = J; J + 2 = L; L + 2 = N; N + 2 = P; P + 2 = R

Second letter: F + 3 = I; I + 3 = L not D; L + 3 = O; O + 3 = R; R + 3 = U

So, the wrong term is LD.

Hence, the correct answer is LD.

The correct answer is option 3 i.e. MoHeavy Industries.

The implementation of the PM E-Drive scheme of the Ministry of Heavy Industries (MoHI) recently got approved by the Union Cabinet chaired by Prime Minister of India Shri Narendra Modi. The scheme stands for PM Electric Drive Revolution in Innovative Vehicle Enhancement (PM E-DRIVE) and has a total budget outlay of 10,900 crores for two years. The scheme is aimed at promoting electric mobility in the country.

The correct answer is Option 3 i.e. Dachigam National Park.

Dachigam National Park, located in Jammu and Kashmir, India, is known for the endemic population of the Hangul, or Kashmir Stag, a critically endangered species. Covering an area of approximately 141 square kilometers, this park is situated in the western Himalayas and serves as a crucial habitat for the Hangul. Conservation efforts within Dachigam National Park aim to protect and restore the population of this rare and majestic deer species, making it a significant area for wildlife conservation in the region.

The correct answer is Option 1 i.e. Always conserved.

In a closed system without external forces, the total momentum before and after a collision is always conserved, meaning it remains constant. This is due to the law of conservation of momentum, which states that the total momentum of a system does not change unless acted upon by external forces. During a collision, individual objects may exchange momentum, but the overall momentum of the system as a whole stays the same, ensuring equilibrium in both elastic and inelastic collisions.

The correct answer is Option 4 i.e. m/s².

Acceleration, the rate of change of velocity with respect to time, is measured in meters per second squared (m/s²) in the International System of Units (SI). One meter per second squared represents an increase in velocity of one meter per second every second. This unit quantifies how quickly an object's velocity changes over time, whether it's speeding up, slowing down, or changing direction. It's a crucial concept in physics and is used extensively in mechanics, engineering, and everyday life.

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

The bacterial structure primarily responsible for adherence to surfaces is the pilus (plural: pili) or fimbria (plural: fimbriae). These hair-like appendages extend from the bacterial cell surface, allowing bacteria to attach to host tissues, surfaces, and other cells. This adherence is crucial for colonization, biofilm formation, and infection. Pili and fimbriae play a significant role in the pathogenicity of many bacteria by enabling them to establish and maintain infections within a host.

The correct answer is Option 3 i.e. 28/3.

We know that

⇒ (a + b + c)² = a² + b² + c² +2(ab + bc + ca)

⇒ (a + b + c)² = 70 + 2 × 63

⇒ (a + b + c)² = 70 + 126 = 196