JNU SSS 2013 Question 100: Quantitative aptitude and data reasoning
There are two experts, X1 and X2, employed by the Planning Commission of Hubble Bubble to calculate the annual rate of growth of output in the country. Given that Y(t) denotes output in year t and Y(t−1) denotes output in the previous year (t−1), X1 calculates the rate of growth in year t using the formula [Y(t)−Y(t−1)]/Y(t) and X2 calculates it using the formula [Y(t)−Y(t−1)]/Y(t−1).
Suppose X1’s calculations show that the rate of growth in 2012 was –5%. Which of the following numbers is the closest to X2’s calculated value for the rate of growth in 2012?
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Plain-text version
There are two experts, X₁ and X₂, employed by the Planning Commission of Hubble Bubble to calculate the annual rate of growth of output in the country. Given that Y(t) denotes output in year t and Y(t-1) denotes output in the previous year (t-1), X₁ calculates the rate of growth in year t using the formula [Y(t) - Y(t-1)]/Y(t) and X₂ calculates it using the formula [Y(t) - Y(t-1)]/Y(t-1). Suppose X₁ ’s calculations show that the rate of growth in 2012 was –5%. Which of the following numbers is the closest to X₂ ’s calculated value for the rate of growth in 2012? (A) –4·76 (B) –4·79 (C) –5·21 (D) –5·26
Also written as: There are two experts, X_1 and X_2, employed by the Planning Commission of Hubble Bubble to calculate the annual rate of growth of output in the country. Given that Y(t) denotes output in year t and Y(t-1) denotes output in the previous year (t-1), X_1 calculates the rate of growth in year t using the formula [Y(t) - Y(t-1)]/Y(t) and X_2 calculates it using the formula [Y(t) - Y(t-1)]/Y(t-1). Suppose X_1 ’s calculations show that the rate of growth in 2012 was –5%. Which of the following numbers is the closest to X_2 ’s calculated value for the rate of growth in 2012?
Quantitative aptitude and data reasoning has come up 92 times in 6 exams since 2008.
What this question tests
This question is on Interest, growth rates and compounding, part of Quantitative aptitude and data reasoning in Mathematics.
Simple and compound interest and the growth-rate measures used for economies.
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