Analyst Questions

Udaipur, a city in the state of Rajasthan which was named after the Maharana Udai Singh - II, is known for its beautiful artificial lakes around the city and lavish royal residences.

Thus, Udaipur nickname is City of Lakes in India.

Given in the question that, there are 7 boys and 6 girls. 

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team = 

$$\begin{gathered} 6C3 x 7C2 + 6C4 x 7C1 + 6C5 \\ = 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1 \\ = 420 + 105 + 6 \\ = 531. \end{gathered}$$

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

Hence, probability = 1/2.

Q = mc∆T refers to Specific Heat formula.

When heat energy is added to a substance, the temperature will change by a certain amount.

The relationship between heat energy and temperature is different for every material, and the specific heat is a value that describes how they relate.

Q = mc∆T

Q = heat energy (Joules, J)

m = mass of a substance (kg)

c = specific heat (units J/kg∙K)

∆T = change in temperature (Kelvins, K)

Parallel structure means using the same pattern of words to show that two or more ideas have the same level of importance and to help the reader comprehend what is being written.. This can happen at the word, phrase, or clause level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or."

Metal Aluminium is present in chocolate wrappers.

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

Here the two sides are 8 & 12

Angle = 150

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

The answer is 'X'.

1. It is the 24th letter in the alphabetical order.

2. XX (20 in Roman)

3. XXX is used to refer dirty.