Correct Answer: for

Solution : The correct answer is the second option.

In this context, "for" is used as a preposition to indicate the duration or period of time during which the action or situation has been ongoing.

Therefore, the complete sentence should be: For the last ten years, we have been victims of abuse.

Correct Answer: Anjana Ghonasgi

Solution : The correct answer is Anjana Ghonasgi.

The Unblemished One, a dance film directed by Anjana Ghonasgi for Devi Diaries 2021, took home two prizes from the White Unicorn International Film Festival (WUIFF) in the categories of "Film on Women" and "Experimental Film."

Correct Answer: 40, 30

Solution : Let the speed of the car starting from A be $x$ km/hr and that from B be $y$ km/hr. ($x>y$)
In opposite direction, relative speed = $(x+y)$ km/hr
In same direction, relative speed = $(x-y)$ km/hr
Distance = 70 km
⇒ $\frac{70}{x-y}$ = 7 [Use: Time = $\frac{\text{Relative Distance}}{\text{Relative Speed}}$]
⇒ $x-y$ = 10 --------------(i)
Also, $\frac{70}{x+y}$ = 1 [Use: Time = $\frac{\text{Relative Distance}}{\text{Relative Speed}}$]
⇒ $x+y$ = 70 --------------(ii)
Adding (i) and (ii),
$2x$ = 80
⇒ $x$ = 40 km/hr
Subtracting (i) from (ii),
$2y$ = 60
⇒ $y$ = 30 km/hr
Hence, the correct answer is 40, 30.

Correct Answer: eutrophication

Solution : The correct answer is eutrophication.

When nutrient levels in any water body increase, especially that of phosphate and nitrate, which leads to increases in the biomass of the water body, this process is known as eutrophication. Its initial stage is characterised by the rapid growth of phytoplankton in the upper layer of the water body. It is caused because of agricultural runoff, and industrial waste, which increase nutrient levels. It is harmful and leads to the death of the aquatic ecosystem.

Correct Answer: ÷, −, =, −, ×

Solution : Given:
(440 * 11) * 85 * 57 * (34 * 3)

Let's check the given options –
First option: +, −, =, ÷, +
⇒ (440 + 11) − 85 = 57 ÷ (34 + 3)
L.H.S. = 451 − 85 = 366
R.H.S. = 57 ÷ 37 = 1.54
L.H.S. ≠ R.H.S.
Second option: ×, =, −, ÷, +
⇒ (440 × 11) = 85 − 57 ÷ (34 + 3)
L.H.S. = (440 × 11) = 4840
R.H.S. = 85 − 57 ÷ 37 = 85 − 1.54 = 83.46
L.H.S. ≠ R.H.S.
Third option: +, ×, =, ÷, +
⇒ (440 + 11) × 85 = 57 ÷ (34 + 3)
L.H.S. = 451 × 85 = 38335
R.H.S. = 57 ÷ 37 = 1.54
L.H.S. ≠ R.H.S.
Fourth option: ÷, −, =, −, ×
⇒ (440 ÷ 11) − 85 = 57 − (34 × 3)
L.H.S. = 40 − 85 = –45
R.H.S. = ​​​57 − 102 = –45
L.H.S. = R.H.S.

So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.

Correct Answer: 13 cm

Solution : Given: The height and the radius of the base of a right circular cone = 12 : 5
Let the height be $12x$ and the radius is $5x$.
Volume = 314 cm³
We know that,
Volume of a cone = $\frac{1}{3}\pi r^2 h$
⇒ $314 = \frac{1}{3} × 3.14 × 5x × 5x × 12x$
⇒ $100 = 100x^3$
⇒ $x=1$
Radius $=5x=5\times1=5$
Height $=12x=12\times1=12$
Slant height = $\sqrt{\text{height$^2$ + radius$^2$}}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13\ \text{cm}$
Hence, the correct answer is 13 cm.

Correct Answer: 4

Solution : The correct choice is the fourth option.

The sentence is grammatically accurate and doesn't need any change as per the rule of conditionals. The sentence conveys the idea that Sumithra didn't miss the cab because she had hurried.

Therefore, the given sentence requires no improvement.

Correct Answer: $8$

Solution : Given: Distance = 14 km
Let the speed of the boat be $x$ km/hr.
According to the question,
$\frac{14}{(x + 2)} + \frac{14}{(x - 2)} = 3\frac{44}{60}$
⇒ $\frac{14(x - 2 + x + 2)}{(x^2 - 4)} = 3 + \frac{44}{60}$
⇒ $\frac{28x}{(x^2 - 4)}= \frac{56}{15}$
⇒ $15x = 2x^2 - 8$
⇒ $2x^2 - 15x - 8 = 0$
⇒ $2x^2 - 16x + x - 8 = 0$
⇒ $2x(x - 8) + 1 (x - 8) = 0$
⇒ $(2x + 1) (x - 8) = 0$
⇒ $x - 8 = 0$ [Since speed can not be negative]
⇒ $x = 8$ km/hr
Hence, the correct answer is 8.

Correct Answer: 10%

Solution : Expenditure on interest + miscellaneous = 20 + 24 = 44
Expenditure on tax + salary = 25 + 15 = 40
Difference = 44 – 40 = 4
Required percentage = $\frac{4}{40}×100$ = 10%
Hence, the correct answer is 10%.

Correct Answer: Mahatma Gandhi National Rural Employment Guarantee Act

Solution : The correct answer is the Mahatma Gandhi National Rural Employment Guarantee Act.

Enacted on August 23, 2005, the Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) provides a crucial social safety net for rural India. Often termed the Right to Work, it ensures 100 days of guaranteed employment annually for those in rural areas seeking work. If the government fails to provide employment, the act also offers unemployment benefits. Implemented in February 2006 under the UPA government, it aims to enhance livelihoods and alleviate rural poverty.