SSC CGL Statistics – Index Numbers – Level 3 · Challenge
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(440 + 18 + 14)/(400 + 12 + 8) × 100 = 472/420 × 100 ≈ 112.38 – a change of units changes the answer, so the unit test fails.
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SSC CGL Statistics – Index Numbers – Level 3 · Challenge – 8 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.
For an index formula, the time reversal test requires (indices written as ratios, not %):
Correct Answer: D [P₀₁ × P₁₀ = 1]
Explanation:
Reversing base and current periods must give the reciprocal.
2.
Fisher's price index is 120 and the value index Σp₁q₁/Σp₀q₀ × 100 is 156. Fisher's quantity index is:
Correct Answer: C [130]
Explanation:
Factor reversal: P × Q = V → Q = 156/120 × 100 = 130.
3.
Statement-basedWhich of the statements are correct?
I. The simple aggregative index fails the unit test.
II. Laspeyres' index satisfies the time reversal test.
III. The simple geometric mean of price relatives satisfies the circular test.
I. The simple aggregative index fails the unit test.
II. Laspeyres' index satisfies the time reversal test.
III. The simple geometric mean of price relatives satisfies the circular test.
Correct Answer: D [Only I and III]
Explanation:
I: changing the unit of one item changes Σp – true.
4.
Laspeyres' and Paasche's price indices are always equal when:
Correct Answer: A [All prices change in the same proportion]
Explanation:
Then every relative equals the same t, so both indices equal t.
5.
The CPI rises from 160 to 200. To keep the same real wage, a salary of ₹ 32,000 must become:
Correct Answer: B [₹ 40,000]
Explanation:
Increase in the same ratio: 32,000 × 200/160 = 40,000.
6.
The CPI moves from 240 to 252 in a year. The rate of inflation is:
Correct Answer: D [5%]
Explanation:
Answer: 5%. (252 − 240)/240 × 100 = 5%.
7.
Arrange in orderArrange the steps of the family budget method in order:
(i) find the weighted mean of the group indices (ii) conduct a family budget enquiry to fix weights (iii) collect retail prices in the base and current periods (iv) compute price relatives for each group
(i) find the weighted mean of the group indices (ii) conduct a family budget enquiry to fix weights (iii) collect retail prices in the base and current periods (iv) compute price relatives for each group
Correct Answer: B [(ii), (iii), (iv), (i)]
Explanation:
Weights → prices → relatives → weighted mean.
8.
Base prices ₹ 40, ₹ 12, ₹ 8 and current prices ₹ 44, ₹ 18, ₹ 14 give a simple aggregative index of about 126.67. If the first item is quoted per 10 units (₹ 400 → ₹ 440), the index becomes about:
Correct Answer: C [112.38]
Explanation:
(440 + 18 + 14)/(400 + 12 + 8) × 100 = 472/420 × 100 ≈ 112.38 – a change of units changes the answer, so the unit test fails.
➤ 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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