SPSC 25 years Past Papers 2001 to 2025 - MCQs

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SPSC 25 years Past Papers 2001 to 2025

Q1391: Which ratio is used to measure profitability?

منافع کی پیمائش کے لئے کون سا تناسب استعمال کیا جاتا ہے؟

Q1392: Integral f (x^3 + x)^5 (3x^2 + 1)dx will be _____?

Explanation

Substitution Method:
Let $u = x^{3} + x$ . Then, the derivative of $u$ is:
$\frac{d u}{d x} = 3 x^{2} + 1 ⟹ d u = (3 x^{2} + 1) d x$
Rewrite the Integral:
The integral becomes:
$\int u^{5} d u$
Integrate:
$\int u^{5} d u = \frac{u^{6}}{6} + C$
Substitute Back:
Replace $u$ with $x^{3} + x$ :
$\frac{(x^{3} + x)^{6}}{6} + C$

Q1393: The lines which are neither parallel nor do they intersect are called?

Q1394: The Synonym of "Abstruse" is?

Q1395: The Antonym of Brawl is?

Q1396: If α, β are roots of the equation 2x^2 - 4x + 5 = 0, then α^2β + αβ^2 = ____?

Q1397: A laboratory reported a patient's fasting glucose level as 155 mg/dL (milligrams per deciliter). What is this value equal to in SI units?

Q1398: A satellite is revolving around the Earth. If its height is 4 times the height of a geo-stationary satellite, what will become its time period?

Q1399: The Antonym of "Copious" is?

Q1400: The purpose of a moderator in a nuclear reactor is to ______?

جوہری ری ایکٹر میں ماڈریٹر کا مقصد ______ ہے؟

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