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Quantitative Aptitude: Simplification Questions Set 12

Directions: What value should come in place of the x in the following questions? 

  1. 24 × 35 + 34% of 250 – 35% of 240  = x2
    A) 31
    B) 39
    C) 46
    D) 29
    E) 21
    View Answer
      Option D
  2. 2304 ÷ 3 × 18 + 173160 ÷ 8 ÷ 5 ÷ 9 ÷ 13 = x
    A) 303
    B) 325
    C) 362
    D) 263
    E) 298
    View Answer
      Option B
  3. 472 – 53 × 34 + 54% of 650 = x
    A) 758
    B) 745
    C) 633
    D) 822
    E) 840
    View Answer
      Option A
  4. 63 × 1118 ÷ 26 – 76% of 750 – 18 × 46 = x
    A) 1160
    B) 1337
    C) 1638
    D) 1311
    E) 1243
    View Answer
      Option D
     
  5. √(5)x = 46% of 1550 – 2288 ÷ 26
    A) 16
    B) 4
    C) 5
    D) 9
    E) None of these
    View Answer
      Option B
    Solution:
    46% of 1550 – 2288 ÷ 26 = 625 = (5)
    √(5)x = ((5)x)1/2 = (5)x/2
    So x/2 = 4, x = 8
  6. 6x-1 = 24 × 108 × 648
    A) 2
    B) 4
    C) 9
    D) 8
    E) 6
    View Answer
      Option C
    Solution:

    24 = 23 * 31
    108 = 22 * 33
    648 = 23 * 34
    So 24 × 108 × 648 = 23+2+3 * 31+3+4 = 28 * 38 = 68
    6x-1 = 68
    x – 1 = 8
    Solve, x = 9
  7. 4 1/2 + 2 2/3 + 3 5/6 + 4 2/5 = x
    A) 15 2/5
    B) 17 2/6
    C) 12 2/10
    D) 16 2/5
    E) 16 2/12
    View Answer
      Option B
    Solution:

    4 1/2 + 2 2/3 + 3 5/6 + 4 2/5
    = 4+2+3+4 + (1/2 + 2/3 + 5/6 + 2/5) = 13 + 12/5 = 13 + 2 2/5 = 15 2/5
  8. 125x+2 = 162 × 1442x+1 × 81
    A) 7
    B) 6
    C) 5
    D) 2
    E) 4
    View Answer
      Option E
    Solution:

    125x+2 = 162 × 1442x+1 × 81
    12 can be break down as 4*3
    162 = (42)2 = 44
    1442x+1 = 124x+2
    81 = 34
    so 44 * 34 = 124
    Now 124x+2 * 124 = 124x+2+4 = 124x+6
    Now 125x+2 = 124x+6
    So 5x+2 = 4x+6
    Solve, x = 4
  9. 3 1/4 + 2 1/5 – 2 3/10 – 1 1/6 = x
    A) 3 11/60
    B) 2 41/60
    C) 1 29/60
    D) 2 23/60
    E) 1 59/60
    View Answer
      Option E
    Solution:
    3 1/4 + 2 1/5 – 2 3/10 – 1 1/6
    = 3+2-2-1 + (1/4 + 1/5 – 3/10 – 1/6)
    = 2 + (-1/60) = 2 – 1/60 = 1 59/60
  10. 35% of 180 + 45% of 240 – 65% of 160
    A) 67
    B) 75
    C) 73
    D) 62
    E) 66
    View Answer
      Option A

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