SSC CGL Statistics – Index Numbers – Exam-Level Drill

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SSC CGL Statistics – Index Numbers – Exam-Level Drill – 12 questions, subject: Statistics (Tier II Paper II). Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  

Directions (Q 36–43): Prices (₹ per unit) and quantities of four items in the base year 2020 and the current year 2025:

Item p₀ q₀ p₁ q₁
A 60 2 62 4
B 10 8 15 6
C 30 3 32 2
D 15 2 30 1
Data tableΣp₀q₀ (the cost of the base-year basket at base prices) is:

Correct Answer: A [320]

Explanation:

Answer: 320. 120 + 80 + 90 + 30 = 320.

2.  
(Use the directions above – Q 36–43)
Data tableLaspeyres' price index is:

Correct Answer: B [125]

Explanation:

Σp₁q₀ = 124 + 120 + 96 + 60 = 400; 400/320 × 100 = 125.

3.  
(Use the directions above – Q 36–43)
Data tablePaasche's price index is:

Correct Answer: D [115.2]

Explanation:

Σp₀q₁ = 375, Σp₁q₁ = 432; 432/375 × 100 = 115.2.

4.  
(Use the directions above – Q 36–43)
Data tableFisher's ideal price index is:

Correct Answer: C [120]

Explanation:

Answer: 120. √(125 × 115.2) = 120.

5.  
(Use the directions above – Q 36–43)
Data tableThe Marshall–Edgeworth price index (to two decimals) is:

Correct Answer: A [119.71]

Explanation:

(400 + 432)/(320 + 375) × 100 = 832/695 × 100 ≈ 119.71.

6.  
(Use the directions above – Q 36–43)
Data tableLaspeyres' quantity index Σq₁p₀/Σq₀p₀ × 100 (to two decimals) is:

Correct Answer: A [117.19]

Explanation:

Answer: 117.19. 375/320 × 100 ≈ 117.19.

7.  
(Use the directions above – Q 36–43)
Data tableThe value index Σp₁q₁/Σp₀q₀ × 100 is:

Correct Answer: C [135]

Explanation:

Answer: 135. 432/320 × 100 = 135.

8.  
(Use the directions above – Q 36–43)
Data tableUsing the factor reversal test, Fisher's quantity index is:

Correct Answer: D [112.5]

Explanation:

V/P = 135/120 × 100 = 112.5 (also √(117.19 × 108)).

9.  
Fixed-base indices (2020 = 100) for 2020–2024 are 100, 125, 140, 168, 210. The link relative for 2024 is:

Correct Answer: B [125]

Explanation:

Link relative = this year's index ÷ last year's × 100 = 210 ÷ 168 × 100 = 125.

10.  
A series has index 140 in 2022 and 126 in 2025 (base 2015). On base 2022 the 2025 index is:

Correct Answer: A [90]

Explanation:

126/140 × 100 = 90 – prices fell 10% after 2022.

11.  
Pay was ₹ 20,000 when the CPI was 100 and is ₹ 36,000 now with CPI 144. The real pay has risen by:

Correct Answer: B [25%]

Explanation:

Real pay = 36,000 × 100/144 = 25,000, i.e.

12.  
For a formula that satisfies the circular test, P₀₁ = 125 and P₁₂ = 128 (as %). Then P₂₀ (as %) must be:

Correct Answer: D [62.5]

Explanation:

P₀₁ × P₁₂ × P₂₀ = 1 → 1.25 × 1.28 × P₂₀ = 1 → P₂₀ = 1/1.6 = 0.625, i.e.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Statistics (Tier II Paper II) book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-statistics

📘 SSC CGL 2026 – Statistics (Tier II Paper II)
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