What is the speed of the car? Statement I: The car covers <span class="math-inline" data-latex-source="135" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>135</mn></mrow><annotation encoding="application/x-tex">135</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">135</span></span></span></span></span> km in <span class="math-inline" data-latex-source="3" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>3</mn></mrow><annotation encoding="application/x-tex">3</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">3</span></span></span></span></span> hours. Statement II: The car covers <span class="math-inline" data-latex-source="270" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>270</mn></mrow><annotation encoding="application/x-tex">270</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">270</span></span></span></span></span> km in <span class="math-inline" data-latex-source="6" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>6</mn></mrow><annotation encoding="application/x-tex">6</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">6</span></span></span></span></span> hours. Choose the standard data-sufficiency option.

Question

What is the speed of the car?

Statement I: The car covers <span class="math-inline" data-latex-source="135" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>135</mn></mrow><annotation encoding="application/x-tex">135</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">135</span></span></span></span></span> km in <span class="math-inline" data-latex-source="3" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>3</mn></mrow><annotation encoding="application/x-tex">3</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">3</span></span></span></span></span> hours.

Statement II: The car covers <span class="math-inline" data-latex-source="270" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>270</mn></mrow><annotation encoding="application/x-tex">270</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">270</span></span></span></span></span> km in <span class="math-inline" data-latex-source="6" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>6</mn></mrow><annotation encoding="application/x-tex">6</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">6</span></span></span></span></span> hours.

Choose the standard data-sufficiency option.

Option A

A

Option B

B

Option C

C

Option D — Correct answer

D

Correct choice.

Option E

E

Explanation

Statement I alone gives speed $=135\div3=45$ km/h. Statement II alone also gives $270\div6=45$ km/h. Either statement alone is sufficient, so the answer is D.

Chapter Mock 16: Data Sufficiency