Quantitative Aptitude: Simplification Questions Set 50

  1. 45% of 840 – 65% of 420 – 2 * ? = 43
    28
    31
    35
    22
    None
    Option B
    Solution:
    45% of 840 – 65% of 420 – 2 * x = 43
    378-273-2x=43
    105-2x=43
    2x=105-43
    2x=62
    x=31.
  2. [6/4 × 32/8 × 6/16] + [6/16 × 24/8 × 36/4] = ?
    83/8
    94/5
    99/8
    99/5
    None
    Option C
    Solution:
    [6/4 × 32/8 × 6/16] + [6/16 × 24/8 × 36/4] = x
    9/4+81/8=x
    x=(18+81)/8
    x=99/8.
  3. 522/29*10 + 126 = ? + 250
    55
    58
    56
    66
    None
    Option C
    Solution:
    522/29*10+126= x + 250
    180+126-250=x
    x=56.
  4. 3521 + 320.6 + 1215.35 – 4522.62 + 1455.3 = ?
    1877.45
    1926.30
    1845.33
    1989.63
    None
    Option D
    Solution:
    3521+320.6+1215.35-4522.62+1455.3=x
    6512.25-4522.62=x
    x=1989.63.
  5. 3/9 of 2520 + 75% of 550 = ?2 – 38
    36
    34
    26
    44
    None
    Option A
    Solution:
    3/9 of 2520 + 75% of 550 = x2 – 38
    840+418+38=x2
    1296=x2
    x=36.
  6. [2√392 – 21] + (√8-7)2 = ?2
    8
    6
    9
    11
    None
    Option B
    Solution:
    [2√392 – 21] + (√8-7)2 = x2
    [2 √49*8 -21] + 8+ 49 -14√8= x2
    14√8 -21 +57 -14√8= x2
    x2=36
    x=6.
  7. (2 5/3 + 4 1/6 + 5 5/6 ) + ? = 13
    2/3
    1/3
    2/5
    3/5
    None
    Option A
    Solution:
    (2 5/3 + 4 1/6+ 5 5/6 )+ x = 13
    11/3+25/6+35/6 +x=13
    x=(22+25+35-78)/6
    =4/6=2/3.
  8. (82 * 52)/200√2 = ?
    6√2
    8√2
    8/√2
    6/√2
    None
    Option C
    Solution:
    (82 * 52) / 200√2 = x
    =(64*25) / 200√2
    x=8/√2.
  9. 172 – 212 + 132 = ?
    17
    22
    34
    28
    None
    Option A
    Solution:
    17 2 -212 +132=x
    289 – 441 + 169=x
    x=17.
  10. 1.62/0.82 = [2.42/0.42] – ?
    28
    32
    36
    24
    None
    Option B
    Solution:
    1.62/0.82 = [2.42/0.42] – x
    (1.6*1.6)/(0.8*0.8) = (2.4*2.4)/(0.4*0.4)-x
    4 = 36– x
    x=32.


 

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