If r, s, and t arethe tenths, hundredths,and the thousandths digit respectively of decimal d = 26.rst, is t 4 positive?(1) If 10d were rounded to the nearest tenths, the result would be 260.3(2) s is evena)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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If r, s, and t are the tenths, hundredths, and the thousandths digit respectively of decimal d = 26.rst, is t – 4 positive?

(1) If 10d were rounded to the nearest tenths, the result would be 260.3

(2) s is even

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'C'. Can you explain this answer?

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Test: Estimation And Rounding- 1

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If r, s, and t arethe tenths, hundredths,and the thousandths digit res...

Step 1 & 2 – Understand the question and draw inferences from the question statement.

Given: d = 26.rst

To find: If t – 4 > 0

r, s, t are digits
This means that, r, s are t are integers such that 0 ≤ r, s, t ≤ 9

We need to find if t – 4 > 0

i.e. if t > 4

Thus, we need to find if 5 ≤ t ≤ 9

Step 3 – Analyze Statement 1 Independently

Statement 1 – If 10d were rounded to the nearest tenths, the result would be 260.3

d = 26. rst

10d = 26r.st

Let’s round 10d to the nearest tenths:

Marking the digit at the tenths place: 26r.st

The digit on s’s right is t

i. If t ≥ 5, we will add 1 to s.

ii. If t < 5, we will keep s as it is

Therefore, 26r. st may be rounded to 26r.s0 (if t < 5) or 26r.(s+1)0 (if t ≥ 5)

Comparing this with the number 260.3, we get:

s = 2, if t ≥ 5
s = 3, if t < 5

Thus, information provided in Statement 1 is not sufficient to arrive at a unique answer.

Step 4 – Analyze Statement 2 Independently

Per Statement 2, s is even.

However, to answer the given question, we need to find if 5 ≤ t ≤ 9

Thus, information provided in Statement 2 is not sufficient to arrive at a unique answer.

Step 5 – Analyze Both Statements Together

Per Statement 1, we have:

s = 2, if t ≥ 5 and s = 3, if t < 5

Per Statement 2, we have:

s is even.

Combining both statements, we have s = 2

t ≥ 5

Since t is a digit, t cannot be greater than 9.

5 ≤ t ≤ 9

Therefore statement 1 and statement 2 together are sufficient to arrive at a unique answer.

Answer: Option (C)

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If r, s, and t arethe tenths, hundredths,and the thousandths digit respectively of decimal d = 26.rst, is t – 4 positive?(1) If 10d were rounded to the nearest tenths, the result would be 260.3(2) s is evena)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

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If r, s, and t arethe tenths, hundredths,and the thousandths digit respectively of decimal d = 26.rst, is t – 4 positive?(1) If 10d were rounded to the nearest tenths, the result would be 260.3(2) s is evena)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If r, s, and t arethe tenths, hundredths,and the thousandths digit respectively of decimal d = 26.rst, is t – 4 positive?(1) If 10d were rounded to the nearest tenths, the result would be 260.3(2) s is evena)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If r, s, and t arethe tenths, hundredths,and the thousandths digit respectively of decimal d = 26.rst, is t – 4 positive?(1) If 10d were rounded to the nearest tenths, the result would be 260.3(2) s is evena)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?.

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