Subject: FPSC 5 Years Past Papers Subject Wise (Solved With Details)

Explanation
I have never seen him after that unfortunate incident. اس ناخوشگوار واقعے کے بعد میں نے اسے کبھی نہیں دیکھا The phrase " I have never seen him " implies the last meeting was before a specific point in time. " After " fits best to indicate that the incident marks the point since which there has been no meeting.

Explanation
" Since " is used to indicate the time from a past event up to now or another point in the past. The sentence refers to events that occurred after the speaker left school — so " since I left the school" is correct.

Explanation
The matter is between  him and me معاملہ اس کے اور میرے درمیان ہے " Between " is a preposition and is followed by objective pronouns . " Him " and " me " are correct objective forms.

Explanation
" Have had " is the correct present perfect tense to show ownership continuing from the past to the present. " Have been " requires a verb ending in - ing , which is not present here.

Explanation
The Ever Given was a Panama-flagged cargo ship operated by th e Evergreen Marine Corporation. It ran aground in the Suez Canal on March 23, 2021, and blocked one of the world’s busiest trade routes for 6 days.

Explanation
Equating the two expressions and simplifying gives:
x cdot 200 = y cdot 250 Rightarrow frac{y}{x} = frac{200}{250} = frac{4}{5}
Rightarrow y : x = 4 : 5 x ⋅ 200 = y ⋅ 250 ⇒ y ​/x = 200 / 250 = 4 ​/5 ⇒ y : x = 4 : 5

Explanation
Let number of coins = 3x, 5x, 4x
→ Total value = 264
→ 3 x + 10 x + 20 x = 33 x = 264 ⇒ x = 8 2 coins = 5x = 5 × 8 = 40 coins
→ Value = 40 × 2 = 80  So to get 66 , x = 6 33x = 264 → x = 8
33x = 198 → x = 6 → 3x = 18 coins → 1 coins = 18 So likely in your example:

Ratio = 3:5:4

Total = 198

x = 6

2 coins = 5x = 30 coins

Value = ₹60

So if 2 coins value = 66 , x = 6.6, which is not clea

Explanation
Option A: 42 : 72

Find the GCD (Greatest Common Divisor) of 42 and 72

GCD of 42 and 72 = 6

Now simplify:
42/ 6 = 7 , 72/ 6 = 12  So, 42 : 72 = 7 : 12

Explanation
Sum of two numbers: − 3 + ( − 5 ) = − 8 -3 + (-5) = -8

Product: ( − 3 ) × ( − 5 ) = + 15 (-3) times (-5) = +15

Let’s now write an algebraic expression where the sum is − 8 -8 and the product is + 15 +15 . This is a quadratic expression of the form:

x 2 + 8 x + 15 x^2 + 8x + 15

Explanation
( 44 x + 35 y ) + ( 34 x − 25 y ) = ( 44 x + 34 x ) + ( 35 y − 25 y ) = 78 x + 10 y

Explanation
I have never seen him after that unfortunate incident. اس ناخوشگوار واقعے کے بعد میں نے اسے کبھی نہیں دیکھا The phrase " I have never seen him " implies the last meeting was before a specific point in time. " After " fits best to indicate that the incident marks the point since which there has been no meeting.

Explanation
" Since " is used to indicate the time from a past event up to now or another point in the past. The sentence refers to events that occurred after the speaker left school — so " since I left the school" is correct.

Explanation
The matter is between  him and me معاملہ اس کے اور میرے درمیان ہے " Between " is a preposition and is followed by objective pronouns . " Him " and " me " are correct objective forms.

Explanation
" Have had " is the correct present perfect tense to show ownership continuing from the past to the present. " Have been " requires a verb ending in - ing , which is not present here.

Explanation
The Ever Given was a Panama-flagged cargo ship operated by th e Evergreen Marine Corporation. It ran aground in the Suez Canal on March 23, 2021, and blocked one of the world’s busiest trade routes for 6 days.

Explanation
Equating the two expressions and simplifying gives:
x cdot 200 = y cdot 250 Rightarrow frac{y}{x} = frac{200}{250} = frac{4}{5}
Rightarrow y : x = 4 : 5 x ⋅ 200 = y ⋅ 250 ⇒ y ​/x = 200 / 250 = 4 ​/5 ⇒ y : x = 4 : 5

Explanation
Let number of coins = 3x, 5x, 4x
→ Total value = 264
→ 3 x + 10 x + 20 x = 33 x = 264 ⇒ x = 8 2 coins = 5x = 5 × 8 = 40 coins
→ Value = 40 × 2 = 80  So to get 66 , x = 6 33x = 264 → x = 8
33x = 198 → x = 6 → 3x = 18 coins → 1 coins = 18 So likely in your example:

Ratio = 3:5:4

Total = 198

x = 6

2 coins = 5x = 30 coins

Value = ₹60

So if 2 coins value = 66 , x = 6.6, which is not clea

Explanation
Option A: 42 : 72

Find the GCD (Greatest Common Divisor) of 42 and 72

GCD of 42 and 72 = 6

Now simplify:
42/ 6 = 7 , 72/ 6 = 12  So, 42 : 72 = 7 : 12

Explanation
Sum of two numbers: − 3 + ( − 5 ) = − 8 -3 + (-5) = -8

Product: ( − 3 ) × ( − 5 ) = + 15 (-3) times (-5) = +15

Let’s now write an algebraic expression where the sum is − 8 -8 and the product is + 15 +15 . This is a quadratic expression of the form:

x 2 + 8 x + 15 x^2 + 8x + 15

Explanation
( 44 x + 35 y ) + ( 34 x − 25 y ) = ( 44 x + 34 x ) + ( 35 y − 25 y ) = 78 x + 10 y

Explanation
I have never seen him after that unfortunate incident. اس ناخوشگوار واقعے کے بعد میں نے اسے کبھی نہیں دیکھا The phrase " I have never seen him " implies the last meeting was before a specific point in time. " After " fits best to indicate that the incident marks the point since which there has been no meeting.

Explanation
" Since " is used to indicate the time from a past event up to now or another point in the past. The sentence refers to events that occurred after the speaker left school — so " since I left the school" is correct.

Explanation
The matter is between  him and me معاملہ اس کے اور میرے درمیان ہے " Between " is a preposition and is followed by objective pronouns . " Him " and " me " are correct objective forms.

Explanation
" Have had " is the correct present perfect tense to show ownership continuing from the past to the present. " Have been " requires a verb ending in - ing , which is not present here.

Explanation
The Ever Given was a Panama-flagged cargo ship operated by th e Evergreen Marine Corporation. It ran aground in the Suez Canal on March 23, 2021, and blocked one of the world’s busiest trade routes for 6 days.

Explanation
Equating the two expressions and simplifying gives:
x cdot 200 = y cdot 250 Rightarrow frac{y}{x} = frac{200}{250} = frac{4}{5}
Rightarrow y : x = 4 : 5 x ⋅ 200 = y ⋅ 250 ⇒ y ​/x = 200 / 250 = 4 ​/5 ⇒ y : x = 4 : 5

Explanation
Let number of coins = 3x, 5x, 4x
→ Total value = 264
→ 3 x + 10 x + 20 x = 33 x = 264 ⇒ x = 8 2 coins = 5x = 5 × 8 = 40 coins
→ Value = 40 × 2 = 80  So to get 66 , x = 6 33x = 264 → x = 8
33x = 198 → x = 6 → 3x = 18 coins → 1 coins = 18 So likely in your example:

Ratio = 3:5:4

Total = 198

x = 6

2 coins = 5x = 30 coins

Value = ₹60

So if 2 coins value = 66 , x = 6.6, which is not clea

Explanation
Option A: 42 : 72

Find the GCD (Greatest Common Divisor) of 42 and 72

GCD of 42 and 72 = 6

Now simplify:
42/ 6 = 7 , 72/ 6 = 12  So, 42 : 72 = 7 : 12

Explanation
Sum of two numbers: − 3 + ( − 5 ) = − 8 -3 + (-5) = -8

Product: ( − 3 ) × ( − 5 ) = + 15 (-3) times (-5) = +15

Let’s now write an algebraic expression where the sum is − 8 -8 and the product is + 15 +15 . This is a quadratic expression of the form:

x 2 + 8 x + 15 x^2 + 8x + 15

Explanation
( 44 x + 35 y ) + ( 34 x − 25 y ) = ( 44 x + 34 x ) + ( 35 y − 25 y ) = 78 x + 10 y

Explanation
I have never seen him after that unfortunate incident. اس ناخوشگوار واقعے کے بعد میں نے اسے کبھی نہیں دیکھا The phrase " I have never seen him " implies the last meeting was before a specific point in time. " After " fits best to indicate that the incident marks the point since which there has been no meeting.

Explanation
" Since " is used to indicate the time from a past event up to now or another point in the past. The sentence refers to events that occurred after the speaker left school — so " since I left the school" is correct.

Explanation
The matter is between  him and me معاملہ اس کے اور میرے درمیان ہے " Between " is a preposition and is followed by objective pronouns . " Him " and " me " are correct objective forms.

Explanation
" Have had " is the correct present perfect tense to show ownership continuing from the past to the present. " Have been " requires a verb ending in - ing , which is not present here.

Explanation
The Ever Given was a Panama-flagged cargo ship operated by th e Evergreen Marine Corporation. It ran aground in the Suez Canal on March 23, 2021, and blocked one of the world’s busiest trade routes for 6 days.

Explanation
Equating the two expressions and simplifying gives:
x cdot 200 = y cdot 250 Rightarrow frac{y}{x} = frac{200}{250} = frac{4}{5}
Rightarrow y : x = 4 : 5 x ⋅ 200 = y ⋅ 250 ⇒ y ​/x = 200 / 250 = 4 ​/5 ⇒ y : x = 4 : 5

Explanation
Let number of coins = 3x, 5x, 4x
→ Total value = 264
→ 3 x + 10 x + 20 x = 33 x = 264 ⇒ x = 8 2 coins = 5x = 5 × 8 = 40 coins
→ Value = 40 × 2 = 80  So to get 66 , x = 6 33x = 264 → x = 8
33x = 198 → x = 6 → 3x = 18 coins → 1 coins = 18 So likely in your example:

Ratio = 3:5:4

Total = 198

x = 6

2 coins = 5x = 30 coins

Value = ₹60

So if 2 coins value = 66 , x = 6.6, which is not clea

Explanation
Option A: 42 : 72

Find the GCD (Greatest Common Divisor) of 42 and 72

GCD of 42 and 72 = 6

Now simplify:
42/ 6 = 7 , 72/ 6 = 12  So, 42 : 72 = 7 : 12

Explanation
Sum of two numbers: − 3 + ( − 5 ) = − 8 -3 + (-5) = -8

Product: ( − 3 ) × ( − 5 ) = + 15 (-3) times (-5) = +15

Let’s now write an algebraic expression where the sum is − 8 -8 and the product is + 15 +15 . This is a quadratic expression of the form:

x 2 + 8 x + 15 x^2 + 8x + 15

Explanation
( 44 x + 35 y ) + ( 34 x − 25 y ) = ( 44 x + 34 x ) + ( 35 y − 25 y ) = 78 x + 10 y

Explanation
I have never seen him after that unfortunate incident. اس ناخوشگوار واقعے کے بعد میں نے اسے کبھی نہیں دیکھا The phrase " I have never seen him " implies the last meeting was before a specific point in time. " After " fits best to indicate that the incident marks the point since which there has been no meeting.

Explanation
" Since " is used to indicate the time from a past event up to now or another point in the past. The sentence refers to events that occurred after the speaker left school — so " since I left the school" is correct.

Explanation
on 15 August 2021,  the  Taliban  entered  Afghanistan's capital city  of  Kabul,  and took control of the country. Over the past  12 months,  human rights violations against  women and girls  have mounted steadily. After 20 years, the Taliban fully re-captured Afghanistan on  15 August 2021. ND04-08-2023

Explanation
not a member of the NPT : India, Israel, North Korea , Pakistan   South Sudan   **** Leaders  ( members ) of the five NPT nuclear-weapon states: China France Russia the United Kingdom and the United States *** The Treaty on the Non-Proliferation of Nuclear Weapons, commonly known as the Non-Proliferation Treaty or NPT, NPT stands for  Non-Proliferation Treaty NPT signed :  1968 Languages : English Russian French Spanish Chinese ** Iran threatened to withdraw from the Treaty on the NPT  ** Parties : 190 (complete list) non-parties: India, Israel, North Korea, Pakistan  South Sudan **** ND06-08-2023

Explanation
The Congress of Vienna of 1814–1815 was a series of international diplomatic meetings The Congress of Vienna   began in September 1814 , five months after Napoleon I’s first abdication The Congress of Vienna  completed its “Final Act” in June 1815, shortly before the Waterloo campaign and the final defeat of Napoleon . Participants : Austria France Portugal Prussia Russia Spain Sweden United Kingdom   ND07-3-2023

Explanation
Global warming is increasing the surface of the earth . It increases carbon dioxide , methane , and other greenhouse gases in the atmosphere. ND-8-08-2023