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Quantitative Aptitude

SIMPLIFICATION MCQs

Simplication

Total Questions : 1537 | Page 154 of 154 pages
Question 1531. Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ____________?
  1.    x = 4, y = 8
  2.    x = 4, y = 4
  3.    x = 2, y = 4
  4.    x = 8, y = 4
 Discuss Question
Answer: Option D. -> x = 8, y = 4
3 1/X * Y 2/5 = 13¾
=> (3X + 1) / X + (5Y + 1) / 2 += 55 / 4
ONLY CHOICE (4) I.E X = 8 AND Y = 4 SATISFIES THE GIVEN EQUATION.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13¾
Question 1532. (6 – 2 * 3 + 6) / (2 + 6 * 3 – 4) = _____________?
  1.    9/8
  2.    3/10
  3.    3/5
  4.    3/8
 Discuss Question
Answer: Option D. -> 3/8
(6 – 2 * 3 + 6) / (2 + 6 * 3 – 4) = (6 – 6 + 6) / (2 + 18 – 4)
= 6/16 = 3/8
Question 1533. (830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16
  1.    24
  2.    36
  3.    48
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these
(830 + ? * 3 * 14 / 100) – (830 * 14 * 3 / 100) = 20.16
=> 830 + ? * 42 – 830 * 42 = 2016
=> ? * 42 = 2016 + 830 * 42 – 830
=> ? * 42 = 42 * 48 + 830 * 42 – 830
=> ? = 48 + 830 – (830 / 42)
=> ? = 48 + 830 – 19.76
=> ? = 858.24
Question 1534. 6 – [5/6 + {3 7/8 – 2 1/3 + 1 7/9}] = _____________?
  1.    3 9/13
  2.    1 9/11
  3.    2 11/72
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these
6 – [5/6 + {3 7/8 – 2 1/3} + 1 7/9] => 6 – [5/6 + {3 1/8 – 7/3} + 16/9]
=> 6 – [5/6 + {(279 – 168 + 128)/72}] => 6 – 5/6 + 239/72
=> 6 – (60 + 239)/72 => 6 – 46 – 11/72
=> 2 – 11/72 => 1 + 1 – 11/72 => 1 + 61/72 = 1 61/72
Question 1535. 2/3 * 5 1/2 * 2 * 7 5/6 * 9/11 = ______________?
  1.    4 9/11
  2.    37
  3.    47
  4.    74
 Discuss Question
Answer: Option C. -> 47
2/3 * 5 1/2 * 2 * 7 5/6 * 9/11
2/3 * 11/2 * 2 * 47/6 * 9/11 = 47
Question 1536. If x % of 80 = 20% of y, then x = ? and y = ?
  1.    x = 20, y = 20
  2.    x = 20, y = 40
  3.    x = 20, y = 80
  4.    Cannot be determined
 Discuss Question
Answer: Option D. -> Cannot be determined
X % OF 80 = 20 % OF Y => X / 100 (80) = 20 / 100 (Y)
=> 4X = Y
I.E X / Y = ¼
Question 1537. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓
  1.    100
  2.    300
  3.    90,000
  4.    10,000
 Discuss Question
Answer: Option A. -> 100
(84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓
=> (6 ÷ 2 ÷ 9) * ? = 100 / 3
=> 3 / 9 * ? = 100 / 3
=> ? = 100

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