GATE CE 2014 Set 1 — Question 10
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumData Interpretation (Bar, Pie, Graphs, Tables)Quantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
Last updated
Question
The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? ( percentile is the value such that percent of the data fall below that value)
(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall
Correct answer
(B) (i) and (iii)
Solution
Step-by-step analysis of the statements based on the provided rainfall chart:
1.Statement (i): The 'Average' line (blue squares) shows that rainfall in July is approximately 650 mm, while in December it is approximately 50 mm. Since , it is true that on average it rains more in July than in December. (True)
2.Statement (ii): Percentiles represent a distribution over 50 years. The 5th percentile for August is mm and the 95th percentile for January is mm. While the bands do not overlap, percentiles do not account for 'every year' (the remaining 10% of data outside the 5th-95th range). In statistical aptitude questions, 'every year' is an absolute claim that cannot be definitively proven by percentile bands alone. (False/Unverifiable)
3.Statement (iii): Confidence in estimation is inversely proportional to the spread of the data. In the graph, the 5th and 95th percentile lines for July are very close to the average line (a tight band), whereas for February, the spread between the percentiles is much larger relative to its mean. A tighter band indicates higher confidence in the estimate. (True)
4.Statement (iv): The 5th percentile line for August is clearly below the 500 mm mark (at approximately 450 mm). This means that in at least 5% of the years, the rainfall was less than 500 mm. Therefore, it is not true that there is 'at least 500 mm' in August. (False)
Since statements (i) and (iii) are true, the correct option is (B).Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Quantitative Aptitude
2026 Set 2 Q1'The team ____ more than 300 runs in 20 overs ____ rains. However, some players needed to…2026 Set 1 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 2 Q2If a positive real satisfies the following equation then…2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 2 Q3The next figure (indicated by ‘?’) in the sequence is