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