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English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Data Sufficiency

English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency

Directions: Each of the questions below consists of a question and...

Directions: Each of the questions below consists of a question and two or more statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
I.& Kavita correctly remembers that her brother’s birthday is before fifteenth April but after twelfth April.

II. Kavita’s father correctly remembers that his son’s birthday is before seventeenth April but after ninth April.

III. Kavita’s mother correctly remembers that Kavita’s brother’s birthday is before sixteenth April but after thirteenth April.&
Which date in April was definitely Kavita’s brother’s birthday?

Options

  1. A
    Statement (I) and Statement (III) together are sufficient.
  2. B
    Any two statements together are sufficient.
  3. C
    Either statement (I) statement and (II) together or statement (III) are statement
  4. D
    All the statement (I), statement (II) and statement (III) together are sufficient.

Correct answer

A.

Statement (I) and Statement (III) together are sufficient.

Step-by-step solution

Statement I. Kavita correctly remembers that her brother’s birthday is before fifteenth April but after twelfth April.

According to Kavita, her brother’s birthday → 13th or 14th April.

Statement II. Kavita’s father correctly remembers that his son’s birthday is before seventeenth April but after ninth April.

According to Kavita’s father, his son’s birthday → 10th, 11th, 12th, 13th, 14th, 15th, or 16th April.

Statement III: Kavita’s mother correctly remembers that Kavita’s brother’s birthday is before sixteenth April but after thirteenth April.

According to Kavita’s mother, Kavtia’s brother’s birthday → 14th or 15th April.

From statement I and III, we get:

Kavita’s brother’s birthday is on 14th April.

Hence, Only statement I and III are sufficient to answer the question. So the correct answer is option A.
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