If the Cost of Living Index rises by 10%, a wage earner's real income remains unchanged only if nominal wages increase by: MCQ with Answer and Explanation

If the Cost of Living Index rises by 10%, a wage earner's real income remains unchanged only if nominal wages increase by:
A. 10%
B. 20%
C. 15%
D. 5%
Answer: Option A
Solution (By JKSSB Mock Tests)
Real income = Nominal income / Price index. To keep real income constant when prices rise 10% (index ×1.10), nominal income must also rise 10% (×1.10), so the ratio remains unchanged.

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Practice More Statistics Questions

Question #1
Cumulative frequency curve is known as:
A. Ogive
B. Histogram
C. Bar chart
D. Frequency polygon

Correct Answer: Option A


Explanation:
An ogive is a graph showing cumulative frequencies plotted against class boundaries.

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Question #2
For a set of numbers, the sum of squared deviations from the arithmetic mean is 100 and n=10. The variance is:
A. 10
B. 11.11
C. 9
D. 1

Correct Answer: Option A


Explanation:
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.

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Question #3
A card is drawn from a standard deck. Probability it is a king or a heart is:
A. 17/52
B. 4/13
C. 16/52
D. 1/4

Correct Answer: Option C


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P(king ∪ heart) = P(king) + P(heart) - P(king of hearts) = 4/52 + 13/52 - 1/52 = 16/52.

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