Correct Answer: Brother

Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, E is the brother of G. Hence, the first option

Correct Answer:

$10\%$

Solution : Let the selling price of one orange = Re. 1
The selling price of 36 oranges = Rs. 36
Loss on 36 oranges = Rs. 4
The cost price of 36 oranges = 36 + 4 = Rs. 40
Loss percentage = $\frac{\text{Loss}}{\text {Cost Price}}$

Correct Answer: 64 – 4032

Solution : Let's check each option –
First option: (64 – 4032); 64² = 4096 ≠ 4032
Second option: (38 – 1444); 38² = 1444
Third option: (42 – 1764); 42² = 1764
Fourth option: (52 – 2704); 52² = 2704

Correct Answer: 33

Solution : Given:
183, 173, 153, 123, 83, ?

Subtract multiples of 10 to the previous number to obtain the next number.
183 – 10 = 173, 173 – 20 = 153, 153 – 30 = 123, 123 – 40 = 83, 83 – 50 = 33

Correct Answer: $\frac{13}{12},\frac{13}{5}$

Solution : Given, $\tan A=\frac{12}{5}$
$\tan A = \frac{\text{perpendicular}}{\text{base}}$
Using pythagoras theorem,
$\small\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$
⇒ $h^2=5^2+12^2$
⇒ $h^2=25+144$
⇒ $h^2=169$
⇒ $h=13$
$\therefore$ $\operatorname{cosec A}=\frac{\text{Hypotenuse}}{\text{Perpendicular}}=\frac{13}{12}$
And, $\sec A=\frac{\text{Hypotenuse}}{\text{Base}}=\frac{13}{5}$
Hence, the correct answer is $\frac{13}{12},\frac{13}{5}$.

Correct Answer: $\sqrt2-\sqrt3$

Solution : Given: $\operatorname{cosec}\theta=\sqrt3$
$⇒\frac{1}{\sin\theta}=\sqrt3$
$⇒\sin\theta=\frac{1}{\sqrt3}$
We know that,
$\cos\theta = \sqrt{1-\sin^2\theta}=\sqrt{1-(\frac{1}{\sqrt3})^2}=\sqrt{1-\frac{1}{3}}=\sqrt\frac{2}{3}$
So, $\cot\theta-\operatorname{cosec}\theta$
$=\frac{\cos\theta}{\sin\theta}-\operatorname{cosec}\theta$
$=\frac{\sqrt\frac{2}{3}}{\frac{1}{\sqrt3}}-\sqrt3$
$=\sqrt\frac{2}{3}×\sqrt3-\sqrt3$
$=\sqrt2-\sqrt3$
Hence, the correct answer is $\sqrt2-\sqrt3$.

Correct Answer: ZDW

Solution : Given:
HPA, FMZ, DJY, BGX, ?

Here, subtract 2, 3, and 1 in the first, second, and third letters respectively to obtain the letters of the next term.
HPA→H – 2 = F; P – 3 = M; A – 1 = Z→FMZ
FMZ→F –

Correct Answer: MONR

Solution : Let's check the options –
First option: VNHK; None of the letters V, N, H, and K are vowels.
Second option: MONR; The letter O is a vowel.
Third option: NQMJ; None of the letters N, Q, M, and J are vowels.
Fourth option: NBJM;

Correct Answer: euphemism

Solution : The correct choice is the third option.

The most appropriate option to substitute the underlined segment in the sentence is euphemism.
Euphemism
 refers to the use of a word or phrase in place of one that might be considered too harsh, blunt, or unpleasant.

The

Correct Answer: into Indian equities have pushed

Solution : The correct answer is the fourth option.

According to the subject-verb agreement rule, the verb must agree with the subject in number. If the subject is singular, the verb should be singular, and if the subject is plural, the verb should