SSC CGL Statistics – Index Numbers – Level 1 · Warm-up

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SSC CGL Statistics – Index Numbers – Level 1 · Warm-up – 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.  
An index number is best described as:

Correct Answer: D [A relative measure of change in a group of related variables over time or place]

Explanation:

Index numbers compare a group of items with a base, usually in %.

2.  
The index number of the base period is always taken as:

Correct Answer: C [100]

Explanation:

By convention the base is 100.

3.  
Laspeyres' price index uses as weights the:

Correct Answer: B [Base-year quantities (q₀)]

Explanation:

Answer: Base-year quantities (q₀). L = Σp₁q₀/Σp₀q₀.

4.  
Paasche's price index uses as weights the:

Correct Answer: A [Current-year quantities (q₁)]

Explanation:

Answer: Current-year quantities (q₁). P = Σp₁q₁/Σp₀q₁.

5.  
Fisher's price index is the:

Correct Answer: B [Geometric mean of Laspeyres' and Paasche's indices]

Explanation:

F = √(L × P); the arithmetic mean is Dorbish–Bowley.

6.  
Prices of three items rise from ₹ 20, ₹ 30, ₹ 50 to ₹ 25, ₹ 36, ₹ 59. The simple aggregative price index is:

Correct Answer: C [120]

Explanation:

Σp₁/Σp₀ × 100 = 120/100 × 100 = 120.

7.  
The price of an item rises from ₹ 40 to ₹ 50. Its price relative is:

Correct Answer: D [125]

Explanation:

p₁/p₀ × 100 = 50/40 × 100 = 125.

8.  
Statement-basedWhich is/are correct?
I. Fisher's index satisfies the time reversal test.
II. Fisher's index satisfies the circular test.

Correct Answer: A [Only I]

Explanation:

Fisher passes the time and factor reversal tests, not the circular test.

9.  
Fill in the blankA consumer price index is also called a ______ index.

Correct Answer: B [cost of living]

Explanation:

It measures the change in the cost of a fixed basket bought by a group of consumers.

10.  
Match the followingMatch:
P. Laspeyres Q. Paasche R. Marshall–Edgeworth
1. weights q₀ + q₁ 2. weights q₀ 3. weights q₁

Correct Answer: D [P-2, Q-3, R-1]

Explanation:

Base, current and the sum of both.

11.  
A worker's money wage is ₹ 18,000 and the consumer price index is 150 (base 100). The real wage is:

Correct Answer: A [₹ 12,000]

Explanation:

Answer: ₹ 12,000. 18,000 × 100/150 = 12,000.

12.  
Odd one outWhich of these is the odd one out among tests of adequacy of an index formula?

Correct Answer: C [Test of dispersion]

Explanation:

The four tests are unit, time reversal, factor reversal and circular.

➤ 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

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