Correct Answer: 5 m

Solution : As per the given information, the movement of X will look as follows –

According to the above figure, the distance that X has traveled from his original position = AE = 5 m.

Hence, the first option is correct.

Correct Answer: 73 : 116

Solution : Let the capacity of each bottle be $x$ units.
Bottle 1 has milk : water = 2 : 5
Bottle 2 has milk : water = 3 : 4
Bottle 3 has milk : water = 4 : 5
Bottle 1 contains milk = $\frac{2x}{7}$, water = $\frac{5x}{7}$
Bottle 2 contains milk = $\frac{3x}{7}$, water = $\frac{4x}{7}$
Bottle 3 contains milk = $\frac{4x}{9}$, water = $\frac{5x}{9}$
When mixed, the ratio of milk and water is:
$= (\frac{2x}{7}+\frac{3x}{7}+\frac{4x}{9}) : (\frac{5x}{7}+\frac{4x}{7}+\frac{5x}{9})$
$= (\frac{18x+27x+28x}{63}) : (\frac{45x+36x+35x}{63})$
$= 73: 116$
Hence, the correct answer is 73 : 116.

Correct Answer: poet

Solution : The correct answer is a poet.

Amir Khusrau was a famous poet, scholar, and musician in the Indian subcontinent during the 13th and 14th centuries. He was originally from Central Asia but spent most of his life in the Delhi Sultanate. Khusrau wrote extensively in Persian and is widely recognised for his contributions to the cultural, and literary heritage of the region.

Correct Answer: Mother’s father

Solution : Given:
A # B ⇒ A is the brother of B
A @ B ⇒ A is the daughter of B
A & B ⇒ A is the husband of B
A % B ⇒ A is the wife of B

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, H is D's mother’s father (maternal grandfather). Hence, the first option is correct.

Correct Answer: Santoor

Solution : The correct option is Santoor

Pandit Shiv Kumar Sharma was born in 1938 in Jammu. He was a famous Indian musician and Santoor player. It is believed that it was hiim who first used Santoor and included it in Indian classical music. He partnered with Indian flautist Hariprasad Chaurasia and composed music for numerous Indian movies under the moniker Shiv-Hari. 

Correct Answer: 21

Solution : Given:
5, 9, 13, 17, ?, 25

In the given series, add 4 to the previous term to get the next term.
5 + 4 = 9; 9 + 4 = 13; 13 + 4 = 17; 17 + 4 = 21; 21 + 4 = 25

So, the missing number is 21. Hence, the third option is correct.

Correct Answer: uncontrolled fusion reaction

Solution : The correct answer is uncontrolled fusion reaction.

The theory of uncontrolled nuclear fusion underpins a hydrogen bomb. The process by which the nuclei of two light atoms join to generate a new nucleus is known as nuclear fusion.

Correct Answer: Rs. 10,500

Solution : Given, Sum= Rs. 15500
Rate of interest (r) = 30% per annum
Time (t) = 7 years
Let the principal be P.
⇒ [P + (simple interest)] = sum
⇒ [P + $\frac{\text{Prt}}{100}$] = sum
⇒ [P + $\frac{\text{P} × 30 × 7}{100}$] = 15500
⇒ [P + $\frac{\text{P} × 210}{100}$] = 15500
⇒ [P + $\frac{\text{21P}}{10}$] = 15500
⇒ $\frac{31\text{P}}{10}$ = 15500
⇒ P = $15500 × \frac{10}{31}$
⇒ P = 5000
Simple interest = 15500 – 5000 = Rs. 10500
Hence, the correct answer is Rs. 10500.

Correct Answer: INR 28,335

Solution : Let the cost price of the dishwater and vacuum cleaner be INR $y$ and INR $x$, respectively.
Total cost price of a dishwasher and a vacuum cleaner = INR 78,750
$x$ + $y$ = $78750$-------------------(i)
Profit of vacuum cleaner = 37% of $x$ = $0.37x$
Selling price of vacuum cleaner = $x$ + $0.37x$ = $1.37x$
Also, the loss of dishwasher = 23% of $y$ = $0.23y$
So, selling price of dishwasher = $y$ – $0.23y$ = $0.77y$
Since both have the same selling price,
⇒ $1.37x = 0.77y$
From equation (i),
⇒ $1.37(78750-y) = 0.77y$
⇒ $2.14y =107887.5$
⇒ $y$ = INR $50414.7 $
So, $x=78750-y= 78750-50414.7=28335.3$ = INR 28,335 approx
⇒ Since the vacuum cleaner is less expensive than the dishwasher.
Hence, the correct answer is INR 28,335.

Correct Answer: $9\frac{3}{5}$ days

Solution : Time taken by $x$ to complete $\frac{1}{4}$ of a job = 6 days
Time taken by $x$ to complete whole work = 6 × 4 = 24 days
Part of work done by $x$ in a day = $\frac{1}{24}$
Time taken by $y$ to complete $\frac{3}{4}$ of a job = 12 days
Time taken by $y$ to complete whole work = $\frac{12 × 4}{3}$ = 16 days
Part of work done by $y$ in a day = $\frac{1}{16}$
Part of work done by $x$ and $y$ in a day = $\frac{1}{24}$ + $\frac{1}{16}$ = $\frac{4 + 6}{96}$ = $\frac{10}{96}$
Time taken by $x$ and $y$ together to complete whole work = $\frac{96}{10}$ = $9\frac{3}{5}$ days
Hence, the correct answer is $9\frac{3}{5}$ days.