Chapter Mock 16: Data Sufficiency Questions
Browse questions from Chapter Mock 16: Data Sufficiency. Each question has options and an explanation.
Questions — Page 1 of 3
- What is the value of $x$? Statement I: $2x=12$ Statement II: $x+4=10$ Choose from: A. Statement I alone is sufficient B. Statement II alone is sufficient C. Both together are sufficient, neither alone D. Either alone is sufficient E. Both together are insufficient
- Is $n$ even? Statement I: $n$ is divisible by $4$. Statement II: $n$ is divisible by $3$. Choose the standard data-sufficiency option.
- What is the area of a rectangle? Statement I: Length is $12$ cm. Statement II: Breadth is $5$ cm. Choose the standard data-sufficiency option.
- Is $x>y$? Statement I: $x-y=3$. Statement II: $x+y=11$. Choose the standard data-sufficiency option.
- In data sufficiency, you should stop checking once one statement is already sufficient on its own.
- Is the triangle right-angled? Statement I: Its sides are $3$, $4$, and $5$. Statement II: Its perimeter is $12$. Choose the standard data-sufficiency option.
- What is the ratio $a:b$? Statement I: $a+b=30$. Statement II: $a-b=6$. Choose the standard data-sufficiency option.
- Is $x$ positive? Statement I: $x^2=25$. Statement II: $x>0$. Choose the standard data-sufficiency option.
- 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.
- What is the rate of interest per annum? Statement I: Rs. <span class="math-inline" data-latex-source="2000" 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>2000</mn></mrow><annotation encoding="application/x-tex">2000</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">2000</span></span></span></span></span> becomes Rs. <span class="math-inline" data-latex-source="2420" 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>2420</mn></mrow><annotation encoding="application/x-tex">2420</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">2420</span></span></span></span></span> in <span class="math-inline" data-latex-source="2" 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</mn></mrow><annotation encoding="application/x-tex">2</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</span></span></span></span></span> years at compound interest compounded annually. Statement II: Rs. <span class="math-inline" data-latex-source="2000" 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>2000</mn></mrow><annotation encoding="application/x-tex">2000</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">2000</span></span></span></span></span> fetches an interest of 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>. Choose the standard data-sufficiency option.