Quantitative Aptitude: Simplification Questions Set 75

Directions(1-10): What will come in place of question mark ‘?’ in the following questions.

  1. (13)^54 * (13)^(-51) = (169)^2 * ?
    13^-2
    13^1
    13^0
    13^-1
    13^2
    Option D
    (13)^54 * (13)^(-51) = (169)^2 * ?
    => ? = [ 13^(54-51)]/13^4
    => ? = 13^-1

     

  2. 748 × ? × 9 = 861696
    128
    150
    120
    115
    100
    Option A
    748 × ? × 9 = 861696
    ? = 128

     

  3. 8(1/3)% × 240 + 8(1/3) % × 384 = 25/100 ×?
    190
    178
    200
    180
    208
    Option E
    8(1/3)% × 240 + 8(1/3) % × 384 = 25/100 ×?
    =>? /4 = 25/300 *[624]
    =>? = 208

     

  4. 2115 ÷ ? = 94 × 15
    2.2
    1.8
    3.9
    3.2
    1.5
    Option E
    2115 ÷ ? = 94 × 15
    =>? = 2115/94*15
    => ? = 1.5

     

  5. ? = √(273 − 119 × 3 + 280)
    14
    10
    15
    13
    12
    Option A
    ? = √(273 − 119 × 3 + 280)
    ? = √(273 − 357 + 280) = √196 = 14

     

  6. 74156 – ? – 321 – 20 + 520 = 69894
    4114
    4000
    4441
    4040
    4253
    Option C
    74156 – ? – 321 – 20 + 520 = 69894
    ? = 74676 – 69894 – 341 = 4441

     

  7. 6573 ÷ 21 × (0.2)^2 =?
    10.50
    14.30
    11.11
    12.52
    10.12
    Option D
    6573 ÷ 21 × (0.2)^2 =?
    ? = [6573*0.04]/21 = 12.52

     

  8. (4)^? = 32 × 512 ÷ 128 × 8
    1
    5
    2
    3
    4
    Option B
    (4)^? = 32 × 512 ÷ 128 × 8
    =>(4)^? = (32 × 512 × 8)/ 128 = 1024
    => (4)^? = (4)^5
    ⇒ ? = 5

     

  9. 75% of 450 + 25% of 850 = ?
    500
    430
    550
    450
    470
    Option C
    75% of 450 + 25% of 850 = ?
    75% × 450 + 25% × 850 = ?
    => ? = 25/100[3 × 450 + 850] = 1/4 [2200] = 550

     

  10. ? +2(1/3) + 5(1/6) – 7(8/11) = 3(3/11) + 8(1/2)
    17
    14
    12
    15
    11
    Option C
    ? +2(1/3) + 5(1/6) – 7(8/11) = 3(3/11) + 8(1/2)
    =>? + 2 + (1/3) + 5 + 1/6 – 7 – 8/11 = 3 + 3/11 + 8 + 1/2
    =>? = 11 + 3/11 + 8/11 + 1/2 – 1/3 – 1/6
    => 12 + (3 – 2 – 1)/ 6 = 12

     


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