Correct Answer: 90

Solution : Let the number of girls be and the number of boys be .

The ratio of the number of girls to the number of boys in a town is 90%.

The total number of boys and girls in the town is 190.

Put the value

Correct Answer: 14

Solution : Given:
76 : 11 :: 88 : ? :: 68 : 9

In the above-given pairs, divide the first number by 4 and subtract 8 from the resultant to obtain the second number.
Like, 76 : 11→76 ÷ 4 = 19 – 8 = 11

Correct Answer: AHNSG

Solution : Given:
FACES is written as AFCSE, and JEANS is written as EJASN.

Here, the position of the letters are being shuffled following a certain pattern as shown below –
FACES is written as AFCSE→

JEANS is written as EJASN→

Similarly, follow the same pattern for

Correct Answer: relinquished

Solution : The correct option is the third option.

It means to give up or surrender something, often a position or responsibility. In the context of the sentence, "relinquished" is the correct word because it means that the father willingly gave up the throne for his son.

Correct Answer: $\frac{5}{4}$

Solution : We know that,
$\operatorname{cosec}^2\theta-\operatorname{cot}^2\theta=(\operatorname{cosec}\theta-\operatorname{cot}\theta)(\operatorname{cosec}\theta+\operatorname{cot}\theta)=1$
$⇒(\operatorname{cosec}\theta-\operatorname{cot}\theta)=\frac{1}{2}$ ----------------(1)
Given,
$\operatorname{cosec} \theta+\cot \theta=2$ ------------------(2)
Solving the above equations, we get,
$\operatorname{cosec} \theta=\frac{5}{4}$
Hence, the correct answer is $\frac{5}{4}$.

Correct Answer: by improvisation

Solution : The correct choice is the second option.

The underlined idiom "by the ear" in the sentence means to do something without a plan or itinerary, relying on spontaneity and making decisions as one goes along.

The idiom "by the ear" implies doing something

Correct Answer: MASTER

Solution : Given:
MANUSCRIPT

Let's compare all the options —

First option: MASTER
E is not present in the word MANUSCRIPT. Hence, it's the odd one out.

Second option: PRIMUS
All the letters of PRIMUS are present in the word MANUSCRIPT.

Third option: SMART

Correct Answer: 206

Solution : Given:
54 : 90 :: 134 : ?

The sum of the digits of the numbers given in each pair is equal.
Like, 54 : 90 – 54→5 + 4 = 9
90→9 + 0 = 9
Similarly, follow the same pattern for 134 :

Correct Answer: disconsolate

Solution : The most appropriate choice is the second option.

Explanation: Disconsolate is the correct choice as an antonym. It means feeling extremely sad, dejected, or hopeless. It is the opposite of feeling joyous and exultant.

The meanings of the other options are as follows:

• Rejoicing: It

Correct Answer: Alauddin Khalji – Jalaluddin Khalji

Solution : The correct option is Jalaluddin Khalji – Alauddin Khalji.

Jalaluddin Khalji was the founder of the Khalji dynasty and, the first ruler of the Khalji dynasty. He ruled from 1290 to 1296. After his assassination, Alauddin Khalji, his nephew, ascended to