Quantitative Aptitude: Simplification Questions Set 82

  1. 4^4 * 9^3 / 2^3 * 3^2 = ?
    2592
    2345
    2564
    2568
    2266
    Option A
    4^4 * 9^3 / 2^3 * 3^2 = ?
    => ( 2^2)4 *( 3^2) 3/ 2^3 * 3^2
    =>2 ^8 * 3 ^6 / 2^3 * 3^ 2
    =>2 ^8-3 * 3^ 6-2
    =>32* 81
    =2592

     

  2. 120% of 4000 + ? = 125% of 2200
    2100
    2200
    2050
    2450
    2300
    Option C
    120% of 4000 + ? = 125% of 2200
    =>4800 – 2750
    =>2050

     

  3. ½ of ? + 2/3 of 117 = 20% 0f 400
    3
    4
    6
    5
    7
    Option B
    ½ of ? + 2/3 of 117 = 20% of 400
    ½ of ? + 2*39 =80
    1/2of ? +78 =80
    So ½ of ? = 2
    ?= 4

     

  4. 5 1/5 + 3 1/3 + 4 1/6 -1 4/9 =?
    11 23/90
    11 21/90
    11 25/90
    12 23/90
    14 23/90
    Option A
    5 1/5 + 3 1/3 + 4 1/6 -1 4/9 =?
    =>(5+3+4-1) +( 1/5 + 1/3 + 1/6 – 4/9)
    =>11 + (18+30+15-40)/90
    =>11+(23)/90
    =>11 23/90

     

  5. ½ of ¼ of 1/5 of 1/6 of 1000=?
    4.6
    4.4
    4.2
    4.5
    4.7
    Option C
    ½ * ¼ * 1/5 * 1/6 *1000
    =>1000/240= 4.2

     

  6. 16.67% of 36 + 33.33 % of 123*2 – √121 =?
    55
    66
    77
    88
    99
    Option C
    ?=1/6 of 36 + 1/3 of 123 *2 – 11 [16.67 % = 1/6, 33.33 % = 1/3]?= 6+41*2-11
    ?= 6+82-11
    ?=77

     

  7. 34*36 + √529 * √121 – 93= ?
    648
    548
    878
    748
    458
    Option D
    ? = (35 – 1) (35 + 1) + 23 *11 – 729 [a2 – b2 = (a + b) (a – b)]? = 352 – 12 + 23 *11 – 729
    ? =1225 – 1+ 253 – 729
    ? =748

     

  8. ?/√384 = √864/?
    22
    23
    24
    25
    26
    Option C
    ? * ? = √384 *√864
    ? * ? = √ (64x6x144x6)
    ? * ? =8x6x12 =576
    ? = 24

     

  9. (6 x 136÷8 +132) / (628 ÷ 16 – 26.25) =?
    17
    18
    19
    20
    21
    Option B
    (6 x (136/8) + 132) / (628/16 – 26.25) =?
    (102 + 132) / (39.25 – 26.25) = ?
    234 / 13 =?
    18 = ?

     

  10. 42.85 % of 140 + 62.5 % of 120 – 16.67 % of 36 =?
    123
    125
    127
    129
    131
    Option D
    3/7 of 140 + 5/8 of 120 – 1/6 of 36 =?
    [42.85 % = 3/7, 62.5 % = 5/8, 16.67 % = 1/6]? = 60 + 75 – 6 = 129

     

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