Chapter Mock 16: Data Sufficiency Questions (Page 3)

Browse questions from Chapter Mock 16: Data Sufficiency. Each question has options and an explanation.

Questions — Page 3 of 3

  1. Is $x>0$? Statement I: $x^3=27$. Statement II: $x^2=9$. Choose the standard data-sufficiency option.
  2. What is the simple interest? Statement I: Principal is Rs. <span class="math-inline" data-latex-source="5000" 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>5000</mn></mrow><annotation encoding="application/x-tex">5000</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">5000</span></span></span></span></span>. Statement II: Rate is <span class="math-inline" data-latex-source="8\%" 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>8</mn><mi mathvariant="normal">%</mi></mrow><annotation encoding="application/x-tex">8\%</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8056em;vertical-align:-0.0556em;"></span><span class="mord">8%</span></span></span></span></span> per annum and time is <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> years. Choose the standard data-sufficiency option.
  3. What is the denominator of a fraction? Statement I: The numerator is <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> less than the denominator. Statement II: The fraction is equivalent to <span class="math-inline" data-latex-source="\frac{5}{8}" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>8</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{8}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1901em;vertical-align:-0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8451em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">8</span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">5</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>. Choose the standard data-sufficiency option.
  4. In data sufficiency, a statement that gives two possible values is still insufficient for a unique-value question.

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