SPSC 25 YEARS PAST PAPERS 2001 TO 2026
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چار آپشن میں سے کسی ایک پر کلک کرنے سے جواب سرخ ہو جائے گا۔
- 2√3
- √2
- √3
- None of these
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Explanation
Calculation: First, compute -2u + 2v:
−2u=(−4,4,−6)
2v=(2,−6,8)
−2u+2v=(−4+2,4−6,−6+8)=(−2,−2,2)
Norm Calculation: The norm (magnitude) of −2u+2v is:
∣∣−2u+2v∣∣=(−2)2+(−2)2+22=4+4+4=12=23
Answer: 23
- ≥
- ≤
- ≠
- None of these
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Explanation
An order on a set "S" is typically denoted by the symbol "≤" (less than or equal to).
It representing a relation that establishes a sense of ordering between elements within the set.
ایک کمپاؤنڈ تجویز جو ہمیشہ سچ ہے ، اس سے قطع نظر کہ اس میں پیش آنے والی تجویزات کی سچائی کی قدر کہا جاتا ہے؟
- Contingency
- Equivalence
- Tautology
- None of these
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Explanation
A compound proposition that is always true, regardless of the truth values of its components, is called a tautology.
The statement "P ∨ ¬P" (P or not P) is a tautology because it is always true, whether P is true or false.
- Romantic designs
- Fanciful schemes
- Ideal projects
- None of these
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Explanation
The phrase "Castles in the air" refers to fanciful schemes or unrealistic plans that are unlikely to be achieved.
It is often used to describe dreams or ideas that are imaginative but not grounded in reality.
- Eliminete
- Eliminate
- Eleminate
- Elementate
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Explanation
Eliminate means ختم کریں
- Was stolen/has offered
- Was stolen/was offered
- Has been stolen/has been offered
- None of these
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Explanation
The correct verb tenses to use are "was stolen" and "was offered".
This indicates that the bike was stolen (past event) and the reward was offered (past event) to recover it.
"My bike which was stolen was brought back only when a 20-pound-reward was offered."
میری موٹرسائیکل جو چوری کی گئی تھی اسے صرف اس وقت واپس لایا گیا جب 20 پاؤنڈ کا بدلہ پیش کیا گیا تھا۔
- Parasite
- Eligible
- Independent
- None of these
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Explanation
A parasite is an organism that lives on or inside another organism (host) and depends on it for survival.It harms the host while benefiting itself, such as fleas on animals or tapeworms in intestines.
- Bitter
- Provocative
- Cheap
- Volatile
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Explanation
Acrimonious means تکلیف دہ
Bitter means تلخ
دنیا کے کل شعبے میں سے ، انٹارکٹیکا میں ______ ہے؟
- 8.9%
- 8.2%
- 7.9%
- None of these
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Explanation
Antarctica covers about 8.9% of Earth's total land area.It is the southernmost continent.It is mostly covered by ice.
چیونوفوبیا _____ کے خوف سے کھڑا ہے؟
- Thunder
- Snakes
- Snow
- None of these
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Explanation
Chionophobia refers to the fear of snow.
The word "chionophobia" comes from the Greek word "chioni" which means snow.
So, someone with chionophobia experiences extreme anxiety or panic when they encounter snow or even think about it.
