SPSC 25 years Past Papers 2001 to 2025

Q1371: Area of an equilateral triangle as function of triangle’s side length x will be?

A. None of these
B. 1/4x
C. √3/4x^2
D. √3/4x

Explanation

- The height $h$ of the equilateral triangle is $\frac{\sqrt{3}}{2} x$ .
- Using the area formula for a triangle ( $Area = \frac{1}{2} \times base \times height$ ):
  $A = \frac{1}{2} \times x \times \frac{\sqrt{3}}{2} x = \frac{\sqrt{3}}{4} x^{2}$

Q1372: Integral f (x^3 + x)^5 (3x^2 + 1)dx will be _____?

A. None of these
B. (x^3 + x)^6/6 + C
C. (x^3 + x)^5/5 + C
D. (x^3 + x)^4/4 + C

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 $x^{3} + x$ :
$\frac{(x^{3} + x)^{6}}{6} + C$

Q1373: Identify the false statement: Energy of IR is higher than the visible light, Energy of UV is higher than the visible light, Energy of IR is lower than the visible light, Energy of UV is higher than IR radiation

A. Energy of IR is higher than the visible light
B. Energy of UV is higher than IR radiation
C. Energy of UV is higher than the visible light
D. Energy of IR is lower than the visible light

Q1374: A racemic mixture is a equimolar mixture of ______?

ایک ریسکم مرکب ______ کا ایک مساوی مرکب ہے؟

A. Diastereomers
B. Enantiomers
C. None of these
D. Stereoisomers

Q1375: An equilibrium constant of 1 for a reaction means that the reaction is _______?

ایک ردعمل کے لئے 1 کا ایک مساوات کا مطلب یہ ہے کہ ردعمل _______ ہے؟

A. Not very favourable and will not form very much product
B. One that will yield 50% products and 50% reactants left over
C. None of these
D. Very favourable and proceeds to mostly products with very little reactions left over

Q1376: The records now used in most school systems are of the ___ variety.

اب زیادہ تر اسکول سسٹم میں استعمال ہونے والے ریکارڈ ___ مختلف قسم کے ہیں۔

A. Observing
B. Cumulative
C. None of these
D. Incidental

Q1377: The lines which are neither parallel nor do they intersect are called?

A. Skew
B. None of these
C. Systematic
D. Symmetric

Q1378: With increase in temperature, the velocity of _____?

درجہ حرارت میں اضافے کے ساتھ ، _____ کی رفتار؟

A. Gases decreases and liquids increases
B. None of these
C. Both gases and liquids increases
D. Gases increases and liquids decreases

Q1379: The formula of Chlorohydrin is ______?

کلوروہائڈرین کا فارمولا ______ ہے؟

A. None of these
B. CH(Cl)2 - CH(OH)(Cl)
C. C(OH)3 - C(OH)2Cl
D. HO-CH2-CH(OH)(Cl)

Q1380: Which of the following elements have the highest values of ionization energy?

مندرجہ ذیل میں سے کون سے عناصر میں آئنائزیشن توانائی کی اعلی اقدار ہیں؟

A. Alkaline earth metals
B. Transition elements
C. Inert gases
D. None of these

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SPSC 25 years Past Papers 2001 to 2025

Q1371: Area of an equilateral triangle as function of triangle’s side length x will be?

Explanation

Q1372: Integral f (x^3 + x)^5 (3x^2 + 1)dx will be _____?

Explanation

Q1373: Identify the false statement: Energy of IR is higher than the visible light, Energy of UV is higher than the visible light, Energy of IR is lower than the visible light, Energy of UV is higher than IR radiation

Explanation

Q1374: A racemic mixture is a equimolar mixture of ______?

Explanation

Q1375: An equilibrium constant of 1 for a reaction means that the reaction is _______?

Explanation

Q1376: The records now used in most school systems are of the ___ variety.

Explanation

Q1377: The lines which are neither parallel nor do they intersect are called?

Explanation

Q1378: With increase in temperature, the velocity of _____?

Explanation

Q1379: The formula of Chlorohydrin is ______?

Explanation

Q1380: Which of the following elements have the highest values of ionization energy?

Explanation

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