Chapter Mock 16: Data Sufficiency Questions (Page 2)
Browse questions from Chapter Mock 16: Data Sufficiency. Each question has options and an explanation.
Questions — Page 2 of 3
- What is the speed of the boat in still water? Statement I: The ratio of downstream speed to upstream speed is <span class="math-inline" data-latex-source="16:9" 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>16</mn><mo>:</mo><mn>9</mn></mrow><annotation encoding="application/x-tex">16:9</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">16</span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">:</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">9</span></span></span></span></span>. Statement II: The boat covers <span class="math-inline" data-latex-source="80" 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>80</mn></mrow><annotation encoding="application/x-tex">80</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">80</span></span></span></span></span> km downstream in <span class="math-inline" data-latex-source="2.5" 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>2.5</mn></mrow><annotation encoding="application/x-tex">2.5</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">2.5</span></span></span></span></span> hours. Choose the standard data-sufficiency option.
- Is $n$ a prime number? Statement I: $n$ is odd. Statement II: $n$ has exactly two distinct positive factors. Choose the standard data-sufficiency option.
- What is the average of $x$ and $y$? Statement I: $x+y=30$. Statement II: $x-y=4$. Choose the standard data-sufficiency option.
- Is the number represented by $ab$ divisible by $3$? Statement I: The sum of its digits is $15$. Statement II: The units digit is $4$. Choose the standard data-sufficiency option.
- What is the present age of A? Statement I: Five years ago, A was twice as old as B. Statement II: The present age of B is $15$ years. Choose the standard data-sufficiency option.
- What is the profit percentage? Statement I: Cost price is Rs. <span class="math-inline" data-latex-source="400" 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>400</mn></mrow><annotation encoding="application/x-tex">400</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">400</span></span></span></span></span> and selling price is Rs. <span class="math-inline" data-latex-source="460" 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>460</mn></mrow><annotation encoding="application/x-tex">460</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">460</span></span></span></span></span>. Statement II: Profit is Rs. <span class="math-inline" data-latex-source="60" 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>60</mn></mrow><annotation encoding="application/x-tex">60</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">60</span></span></span></span></span>. Choose the standard data-sufficiency option.
- Is the triangle equilateral? Statement I: All three sides are equal. Statement II: Each angle of the triangle is <span class="math-inline" data-latex-source="60^\circ" data-display-mode="false" contenteditable="false"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msup><mn>60</mn><mo>∘</mo></msup></mrow><annotation encoding="application/x-tex">60^\circ</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6741em;"></span><span class="mord">6</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.6741em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">∘</span></span></span></span></span></span></span></span></span></span></span></span>. Choose the standard data-sufficiency option.
- What is the value of $x$? Statement I: $x^2=36$. Statement II: $x$ is positive. Choose the standard data-sufficiency option.
- Is the average speed for the whole journey <span class="math-inline" data-latex-source="60" 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>60</mn></mrow><annotation encoding="application/x-tex">60</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">60</span></span></span></span></span> km/h? Statement I: The journey consists of equal distances covered at <span class="math-inline" data-latex-source="40" 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>40</mn></mrow><annotation encoding="application/x-tex">40</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">40</span></span></span></span></span> km/h and <span class="math-inline" data-latex-source="60" 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>60</mn></mrow><annotation encoding="application/x-tex">60</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">60</span></span></span></span></span> km/h. Statement II: The harmonic mean of <span class="math-inline" data-latex-source="40" 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>40</mn></mrow><annotation encoding="application/x-tex">40</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">40</span></span></span></span></span> and <span class="math-inline" data-latex-source="60" 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>60</mn></mrow><annotation encoding="application/x-tex">60</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">60</span></span></span></span></span> is <span class="math-inline" data-latex-source="48" 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>48</mn></mrow><annotation encoding="application/x-tex">48</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">48</span></span></span></span></span>. Choose the standard data-sufficiency option.
- What is the ratio of milk to water in a mixture? Statement I: The mixture contains <span class="math-inline" data-latex-source="40" 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>40</mn></mrow><annotation encoding="application/x-tex">40</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">40</span></span></span></span></span> litres of milk and <span class="math-inline" data-latex-source="10" 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>10</mn></mrow><annotation encoding="application/x-tex">10</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">10</span></span></span></span></span> litres of water. Statement II: Milk forms <span class="math-inline" data-latex-source="80\%" 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>80</mn><mi mathvariant="normal">%</mi></mrow><annotation encoding="application/x-tex">80\%</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">80%</span></span></span></span></span> of the mixture. Choose the standard data-sufficiency option.