Correct Answer: 16

Solution : Given:
$(-\frac{1}{2}) \times (x-5) + 3 = -\frac{5}{2}$
⇒ $-\frac{1}{2}x + \frac{5}{2} + 3 = -\frac{5}{2}$
⇒ $-\frac{1}{2}x + \frac{11}{2} = -\frac{5}{2}$
⇒ $-\frac{1}{2}x = -\frac{16}{2}$
⇒ $x = 16$
Hence, the correct answer is 16.

Correct Answer: GREEN

Solution : Given:
INTELLIGENCE

Now, let's compare all the option words with the word INTELLIGENCE –
First option: GENTLE; All the letters of GENTLE are present in the word INTELLIGENCE.
Second option: TEEN; All the letters of TEEN are present in the word INTELLIGENCE. 
Third option: GREEN;

Correct Answer: 1

Solution : Given:
$⇒x+ \frac{1}{x} =\sqrt{13}$
By squaring both sides,
$⇒({x}+ \frac{1}{x})^{2} =(\sqrt{13})^{2}$
$⇒{x}^{2}+ \frac{1}{x^{2}}+2×x×\frac{1}{x} =13$
$⇒{x}^{2}+ \frac{1}{x^{2}}=13-2 =11$ ---(1)
Also, $({x}- \frac{1}{x})^{2} ={x}^{2}+ \frac{1}{x^{2}}-2×x×\frac{1}{x}$
By using the value of equation (1), we get,
$⇒({x}- \frac{1}{x})^{2} = 11 - 2=9$
$⇒({x}- \frac{1}{x}) = \sqrt{9}=3$
Multiplying by $x$

Correct Answer: Lawyer

Solution : Given:
School : Teacher :: Court : ?

A teacher is someone who is employed at a school to educate students.
Similarly, a lawyer is someone who works in a court.

Hence, the first option is correct.

Correct Answer: it has high specific heat

Solution : The correct option is it has a high specific heat.

Water is used in a hot water bag because it has a high specific heat capacity, which allows it to absorb and maintain a substantial quantity of heat energy while

Correct Answer: Cemetery

Solution : The correct one-word substitute is the second option.

Explanation: Cemetery is the correct choice. It refers to a place where the deceased is buried, consisting of graves and often tombstones or markers.

The meanings of the other options are as follows:

• Courtyard: A courtyard is

Correct Answer: by time

Solution : The error lies in the third option.

"By time" implies that evacuation was done according to a schedule or deadline, which may not be the intended meaning. "In time" indicates that the evacuation was done with enough time to spare before a particular

Correct Answer: Ooty

Solution : The correct option is Ooty.

Ooty, often known as Udhagamandalam and short for Ootacamund, is a charming hill station in Tamil Nadu, India's Nilgiri Hills. Known for its natural beauty, temperate atmosphere, and lush terrain, it is one of South India's most sought-after tourist

Correct Answer: 2.3

Solution : Given:
In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at speeds of 2.85 m/s and 5.4 km/h, respectively.
Rohit's speed in m/s is $5.4×\frac{5}{18}=1.5$ m/s
So, their relative speed is (2.85 + 1.5) =

Correct Answer: 1

Solution : The correct answer is the first option.

In this sentence, the verb "teach" is in the present tense, but it should be in the past tense to match the context. Here, taught is the correct alternative as it uses the correct past form of