ETEA CT PAST PAPER 20-06-2021
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- 3(a + b)³
- (a + b)³
- (3a + 3b)³
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
Explanation
The given expression is:
a³ + 3ab(a + b) + b³
Factor the expression:
(a + b)(a² - ab + b²) + 3ab(a + b)
Combine like terms:
(a + b)(a² - ab + b² + 3ab)
Simplify:
(a + b)(a² + 2ab + b²)
Recognize the perfect cube:
(a + b)³
پاکستان میں موجودہ وزیر مملکت برائے داخلہ اور منشیات کا کنٹرول کون ہے؟
- Talal Chaudhry
- Wajeeha Qamar
- Khalid Maqsi
- None of these
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Explanation
Talal Chaudhry is the Current Minister of State for Interior and Narcotics Control since March 2025
Last updated: 08-03-2025
Reference Click here
فلسفہ طریقوں کی نشاندہی کرتا ہے اور ______ اس کی پیروی کرتے ہیں۔
- Education
- Curriculum
- Psychology
- None of these
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Explanation
Philosophy provides the foundation for knowledge, ethics, and reasoning, guiding various fields, including education.
Education follows philosophy by implementing its principles in teaching, learning, and critical thinking.
تعلیم لاطینی لفظ "ایجوکیئر" سے اخذ کی گئی ہے جس کا مطلب کیا ہے؟
- To lead forth
- To nourish
- To acknowledge
- None of these
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Explanation
The Latin word "Educare" means "to nourish" or "to bring up", referring to the development of knowledge and character.
It emphasizes guiding and fostering growth, much like how education helps individuals develop intellectually and morally.
- (A.B)⁻¹
- A⁻¹.B⁻¹
- (B A)⁻¹
- None of these
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Explanation
The property of inverse matrices states that (A.B)⁻¹ = B⁻¹.A⁻¹.
This means that the inverse of the product of two matrices is the product of their inverses in reverse order.
- -1
- 1
- 0
- None of these
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Explanation
The slope of a line is given by rise/run. In a horizontal line, there is no rise (change in y), so the slope is 0/any number = 0.
A horizontal line has a constant y-value, meaning it does not incline or decline, resulting in a slope of 0.
- b - a < 0
- a < b
- a > b
- None of these
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Explanation
The condition a - b < 0 means that a is smaller than b because subtracting a larger number (b) from a smaller number (a) gives a negative result.
This directly translates to a < b as the correct inequality.
- 5
- 8
- 49
- None of these
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Explanation
The given equation a² - b² = 56 can be rewritten as (a - b)(a + b) = 56.
Since a + b = 7, substituting it gives (a - b) × 7 = 56, solving for a - b gives 8.
بیس 5 نمبر سسٹم میں استعمال ہونے والے نمبر ہندسے ______ ہیں؟
- 5
- 10
- 8
- None of these
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Explanation
A base-5 number system uses digits from 0 to 4, meaning there are 5 different digits in total.
Any number system in base-N uses N unique digits, so base 5 has 5 digits (0, 1, 2, 3, 4).
پاکستان میں کتنی بار مارشل لاء نافذ کیا گیا ہے؟
- 3
- 4
- 5
- None of these
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Explanation
List of Martial Laws Held in Pakistan from 1947 to 2025:
Sr# | Martial Law Number | Date of Martial Law | Martial Law Implemented by |
1 | First Martial Law | 7th October 1958 | Iskandar Mirza |
2 | 2nd Martial Law | 25th March 1969 | General Yahya Khan |
3 | 3rd Martial Law | 5th July 1977 | General Zia ul Haq |
4 | 4th Martial Law | 12th October 1999 | General Pervaiz Musharraf
|
There are total four martial laws Implemented in Pakistan from 1947 to 2025.
