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14 Jan 2024, 10:36
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D
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Difficulty:
25%
(medium)
Question Stats:
76% (01:16) correct
24%
(01:15)
wrong
based on 495
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If x = (0.0753)(1856), then x satisfies which of the following inequalities?
A. x ≤ 1
B. 1 < x ≤ 10
C. 10 < x ≤ 100
D. 100 < x ≤ 1,000
E. 1,000 < x ≤ 10,000
A. x ≤ 1
B. 1 < x ≤ 10
C. 10 < x ≤ 100
D. 100 < x ≤ 1,000
E. 1,000 < x ≤ 10,000
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24 Jan 2024, 19:59
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If x = (0.0753)(1856), then x satisfies which of the following inequalities?
a) x ≤ 1
b) 1 <x≤ 10
c) 10 <x≤ 100
d) 100 <x≤ 1,000
e) 1,000 <x ≤ 10,000
(0.0753)(1856) ≈ 0.75 × 186 ≈ 3 × 46 = 138
Correct answer: (D)
Alternative Approach
Check the high end:
(0.0753)(1856) < (0.08)(1900) = 8 x 19 = 152
Eliminate (E).
Check the low end:
(0.0753)(1856) > (0.07)(1800) = 7 × 18 = 126
Eliminate (A), (B), and (C).
Correct answer: (D)
a) x ≤ 1
b) 1 <x≤ 10
c) 10 <x≤ 100
d) 100 <x≤ 1,000
e) 1,000 <x ≤ 10,000
(0.0753)(1856) ≈ 0.75 × 186 ≈ 3 × 46 = 138
Correct answer: (D)
Alternative Approach
Check the high end:
(0.0753)(1856) < (0.08)(1900) = 8 x 19 = 152
Eliminate (E).
Check the low end:
(0.0753)(1856) > (0.07)(1800) = 7 × 18 = 126
Eliminate (A), (B), and (C).
Correct answer: (D)
General Discussion
14 Jan 2024, 11:06
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AnkurGMAT20
\(\frac{753}{10000}*1856\)
\(\approx \frac{750}{10000}*1860\)
\(\approx \frac{75}{100}*186\)
\(\approx \frac{13950}{100}\)
\(\approx 139.50\)
Option D
