Explanation

A mantrap is a small space with two interlocking doors — only one opens at a time — used to control access to secure areas.

It prevents tailgating (unauthorized entry by following an authorized person) by ensuring only one person can enter at a time.

Explanation

When will a car be bought by you?

In passive voice, the structure is: "When + will + object + be + past participle + by subject."

"A car" (object) comes after "will", followed by "be bought" (passive form), and "by you" (subject).

Explanation

Quran's Surah Al Tauba fortieth verse was revealed.

Also known as Ghar Thawr, the Cave of Thawr

آپ صَلَّی اللہُ تَعَالٰی عَلَیْہِ وَاٰلِہٖ وَسَلَّمَ کتنے دن غار ثور میں قیام کیا: تین دن

غار یار کس صحابی کو کہا جاتا ہے: حضرت ابو بکر رَضِیَ اللہُ تَعَالٰی عَنْہُ

Explanation

Given sum of roots = 55 and product of roots = 66.

The quadratic equation is:

x² - (sum of roots)x + (product of roots) = 0

x² - 55x + 66 = 0

Explanation

The meeting is scheduled for 3:00 p.m. on Tuesday, October 5th.

The correct time format uses a colon: 3:00 p.m., not a period.

A comma is placed after the day of the week (Tuesday) when followed by the full date (October 5th).

Explanation

Given:  

y = 5  

Expression: 10y × √(y³ − y²)

Step-by-step:

1. y³ = 5³ = 125  

2. y² = 5² = 25  

3. y³ − y² = 125 − 25 = 100  

4. √(100) = 10  

5. 10y = 10 × 5 = 50  

6. Final result: 50 × 10 = 500

Explanation

"Ultimately" means in the end or eventually, which fits the idea of gradual conversion over time.

It contrasts with the Germanic tribes initially resisting but eventually accepting Christianity while keeping their traditions.

Explanation

Given:

3x : 2y = 6 : 5

Cross-multiply:

(3x) × 5 = (2y) × 6

15x = 12y

Divide both sides by 3y:

5x/y = 4

x/y = 4/5

So, x : y = 4 : 5

Explanation

 "Each mother has to bring her artwork."

Correct: "Each" is singular, and "her" matches in number and gender.

Explanation

Let son's current age be x and father's current age be y.

x + y = 70 ... (1)

Three years ago,

son's age = x - 3

father's age = y - 3

Given y - 3 = 3(x - 3)

y - 3 = 3x - 9

y = 3x - 6 ... (2)

Putting (2) in (1):

x + 3x - 6 = 70

4x = 76

x = 19