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01 Jan 2025, 01:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:12) correct
26%
(02:36)
wrong
based on 362
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A box contains n shirts, of which 60% are white in color. Three out of every four non-white shirts have a tailoring defect. What percentage of white shirts do not have a tailoring defect?
(1) If one shirt is selected at random from the box, the probability that it will have a tailoring defect is 0.5
(2) The probability that a shirt with tailoring defect will be white in color is 2/5
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) If one shirt is selected at random from the box, the probability that it will have a tailoring defect is 0.5
(2) The probability that a shirt with tailoring defect will be white in color is 2/5
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
01 Jan 2025, 03:11
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Bunuel
Let n = 100 and W be white, NW be not white, D be defect and ND be no defect then we are given below details in the question
| W | NW | T | |
| D | 40*3/4 = 30 | ||
| ND | ? | 10 | |
| T | 60 | 40 | 100 |
Calculate \(\frac{100 * ND_W}{T_W}\)?
Statement 1 => D = 50
| W | NW | T | |
| D | 20 | 30 | 50 |
| ND | 40 | 10 | |
| T | 60 | 40 | 100 |
Percentage = 100*40/60 = 66.67%
Hence, this statement is sufficient.
Statement 2 => Let total shirts with tailoring defect be x, then
| W | NW | T | |
| D | 2x/5 | 30 | x |
| ND | ? | 10 | |
| T | 60 | 40 | 100 |
2x/5 + 30 = x
30 = 3x/5
x = 50
| W | NW | T | |
| D | 20 | 30 | 50 |
| ND | 40 | 10 | |
| T | 60 | 40 | 100 |
Percentage = 100*40/60 = 66.67%
Hence, this statement is sufficient.
IMO: D
General Discussion
04 Aug 2026, 02:38
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