Quantitative Aptitude: Simplification Questions Set 51

Directions: What value will come in place of question mark (?) in the following questions?

1. 8² * 1/4096 *512 = 8^?
   4
   2
   1
   3
   None
   Option C
   Solution:
   8² * 1/4096 *512= 8 ^x
   8² * 1/8 ⁴ *8 ³ = 8 ^x
   8² * 8 ^-4 *8 ³ = 8 ¹.
   
2. 24² + 18² – ?² = 416
   22
   26
   21
   20
   None
   Option A
   Solution:
   24² + 18²-x²=416
   576+324-x²=416
   576+324-416= x²
   x²=484.
   x=22.
   
3. 1/6 of 432/8 of 32/18 of 1/2 of ? = 600
   62
   75
   66
   48
   None
   Option B
   Solution:
   1/6 of 432/8 of 32/18 of 1/2 of x =600
   8x=600
   x=600/8
   x=75.
   
4. (2.6*48)/13 * ? = 576
   66
   55
   46
   60
   None
   Option D
   Solution:
   (2.6*48)/13 * x = 576
   124.8/13 * x= 576
   9.6x=576
   x=576/9.6=60.
   
5. 1/4* 5624 – 20% of ? = 106
   6500
   5430
   6200
   5650
   None
   Option A
   Solution:
   1/4* 5624 – 20% of x=106
   1406- 20/100*x=106
   1406-106=20/100x
   1300=1/5x
   x=6500.
   
6. 16.5% of 1700 – 13.8% of 1750 = ?
   24
   33
   29
   39
   None
   Option D
   Solution:
   16.5% of 1700 – 13.8% of 1750=x
   280.5-241.5=x
   x=39.
   
7. 4 1/2 + 1/2 (8/9 – 31/3) = ?
   2/9
   3/5
   -2/9
   -3/5
   None
   Option C
   Solution:
   4 1/2 + 1/2 (8/9 – 31/3) = x
   9/2 +1/2 (8/9- 31/3)=x
   9/2+ 1/2 (-85/9)=x
   9/2 – 85/18=x
   (81-85 )/ 18=x
   x=-4/18=-2/9.
   
8. (6√7+√7) (4√7+8√7) – 19² = ?
   245
   227
   238
   234
   None
   Option B
   Solution:
   (6√7+√7) (4√7+8√7) – 19²=x
   (24*7 ) + (48*7) + (4*7) + (8*7) – 19²=x
   (168+336+28+56) -361=x
   588-361=x
   x=227.
   
9. 3/8 of 4/7 of 7/9 of 738 = ?
   115
   133
   154
   123
   None
   Option D
   Solution:
   3/8*4/7*7/9*738=x
   738/6=x
   x=123.
   
10. 44% of 5025 + 56% of 2025 = ?
    3345
    2685
    3000
    3216
    None
    Option A
    Solution:
    44% of 5025 + 56% of 2025=x
    2211+ 1134=x
    x=3345.