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Data Sufficiency - Distance — Data Sufficiency Questions & Practice

Practise 85 Data Sufficiency - Distance questions from Data Sufficiency for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Data Sufficiency - Distance — with answers

Try each question first, then open the answer. Explanations are included.

1. What distance did Manoj travel? Statement I: The sum of Manoj's and Pooja's distance travelled is 675 km. Statement II: The ratio of Pooja's distance travelled to Rakesh's distance travelled is 7:2.

  1. AStatement I alone is sufficient to answer the question, while Statement II alone is not sufficient
  2. BStatement II alone is sufficient to answer the question, while Statement I alone is not sufficient
  3. CBoth statements together are sufficient to answer the question, but neither statement alone is sufficient
  4. DBoth statements together are not sufficient to answer the question
Show answer

Answer: D

Statement I gives only the combined total of Manoj and Pooja (two unknowns, not sufficient alone). Statement II relates Pooja and Rakesh, neither of which pins down Manoj's distance travelled on its own. Even combining both statements, Manoj's distance travelled cannot be uniquely determined, since the information about Rakesh does not connect back to Manoj. Hence both statements together are not sufficient.

2. What distance did Priya travel? Statement I: The sum of Priya's and Rohan's distance travelled is 122 km. Statement II: The ratio of Rohan's distance travelled to Meena's distance travelled is 8:7.

  1. AStatement I alone is sufficient to answer the question, while Statement II alone is not sufficient
  2. BStatement II alone is sufficient to answer the question, while Statement I alone is not sufficient
  3. CBoth statements together are sufficient to answer the question, but neither statement alone is sufficient
  4. DBoth statements together are not sufficient to answer the question
Show answer

Answer: D

Statement I gives only the combined total of Priya and Rohan (two unknowns, not sufficient alone). Statement II relates Rohan and Meena, neither of which pins down Priya's distance travelled on its own. Even combining both statements, Priya's distance travelled cannot be uniquely determined, since the information about Meena does not connect back to Priya. Hence both statements together are not sufficient.

3. What distance did Anil travel? Statement I: The sum of Anil's and Sarita's distance travelled is 238 km. Statement II: The ratio of Sarita's distance travelled to Gopal's distance travelled is 3:5.

  1. AStatement I alone is sufficient to answer the question, while Statement II alone is not sufficient
  2. BStatement II alone is sufficient to answer the question, while Statement I alone is not sufficient
  3. CBoth statements together are sufficient to answer the question, but neither statement alone is sufficient
  4. DBoth statements together are not sufficient to answer the question
Show answer

Answer: D

Statement I gives only the combined total of Anil and Sarita (two unknowns, not sufficient alone). Statement II relates Sarita and Gopal, neither of which pins down Anil's distance travelled on its own. Even combining both statements, Anil's distance travelled cannot be uniquely determined, since the information about Gopal does not connect back to Anil. Hence both statements together are not sufficient.

4. What distance did Amit travel? Statement I: The sum of Amit's and Bina's distance travelled is 592 km. Statement II: The ratio of Bina's distance travelled to Chetan's distance travelled is 3:9.

  1. AStatement I alone is sufficient to answer the question, while Statement II alone is not sufficient
  2. BStatement II alone is sufficient to answer the question, while Statement I alone is not sufficient
  3. CBoth statements together are sufficient to answer the question, but neither statement alone is sufficient
  4. DBoth statements together are not sufficient to answer the question
Show answer

Answer: D

Statement I gives only the combined total of Amit and Bina (two unknowns, not sufficient alone). Statement II relates Bina and Chetan, neither of which pins down Amit's distance travelled on its own. Even combining both statements, Amit's distance travelled cannot be uniquely determined, since the information about Chetan does not connect back to Amit. Hence both statements together are not sufficient.

5. What distance did Priya travel? Statement I: The sum of Priya's and Rohan's distance travelled is 587 km. Statement II: The ratio of Rohan's distance travelled to Meena's distance travelled is 7:8.

  1. AStatement I alone is sufficient to answer the question, while Statement II alone is not sufficient
  2. BStatement II alone is sufficient to answer the question, while Statement I alone is not sufficient
  3. CBoth statements together are sufficient to answer the question, but neither statement alone is sufficient
  4. DBoth statements together are not sufficient to answer the question
Show answer

Answer: D

Statement I gives only the combined total of Priya and Rohan (two unknowns, not sufficient alone). Statement II relates Rohan and Meena, neither of which pins down Priya's distance travelled on its own. Even combining both statements, Priya's distance travelled cannot be uniquely determined, since the information about Meena does not connect back to Priya. Hence both statements together are not sufficient.

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