Quantitative Aptitude: Simplification Questions Set 4

What approximate value should come in place of question mark (?) in the following questions?

1. 286.04×11.646+65.37×54.08=?+137.989
   A)  7000
   B)  6750
   C)  6800
   D) 6700
   E) 6680
   
   View Answer

     Option C
   Solution:
   ?+137.989=286.04×11.646+65.37×54.08
   286×12 + 65×54
   3432+3510 = 6942
   Or, ?+138 = 6942
   ?=6942-138=6804 = 6800
                 
2. 85943 – 71206 + 37517 – 3512 + 119 = ?
   A) 48870
   B) 43780
   C) 42680
   D) 46590
   E) None of these.
   
   View Answer

     Option A
   Solution:
   85940 – 71200 + 37520 – 3510 + 120 = 48870
                 
3. 20440÷639.890=√(?)
   A)  984
   B)  1110
   C) 900
   D) 1084
   E) 1200
   
   View Answer

     Option D
   Solution:
   √(?) = 20440÷640 = 31.99 = 32 = 32×32 = 1084
                 
4. 122.05% of 120+149.99% of 150=?
   A)  371
   B)  380
   C)  350
   D) 385
   E) 360
   
   View Answer

     Option A
   Solution:
   (122×120/100)+(150×150/100)
   = (146.4+225)
   = 371.4 = 371
                 
5. (9.899)³×(2.399)²×(4.005)⁴=?
   A)  144800
   B) 140000
   C) 1428200
   D) 1458000
   E) None of these.
   
   View Answer

     Option C
   Solution:
   (9.9)³×(2.4)²×(4)⁴ =
   (970.299)×(5.76)×256
   (970.3)×(5.75)×256 = 1428281.6 = 1428200
                 
6. 999.99÷25.012 = ? – 235.448
   A) 265
   B) 255 
   C) 275
   D) 285
   E) None of these.
   
   View Answer

     Option C
   Solution:
   1000/ 25 = ? – 235
   40 = ? – 235
   ? = 235+40 = 275
                 
7. 633.72-569.21÷(11.9% of 80)=?
   A)  6.667
   B)  575
   C) 7
   D) 600
   E) None of these.
   
   View Answer

     Option B
   Solution:
   ?=633.72-569.21÷(11.9% of 80)  = 634-570÷(80×12)/100 = 634-570/9.6 =634 – 59.375 =575 (appx)
                 
8. 67.99 -11.78 + 19.63 =? + 22.41
   A)  56
   B)  54
   C)  58
   D)  60
   E)  52
   
   View Answer

     Option B
   Solution:
   67.99 -11.78 + 19.63 =?+ 22.41
   68 – 12+20 = ? + 22  = 88-12 -22 = 54
                 
9. (49.999)²+(59.96)²+(64.501)² =?
   A)  16425
   B)  12369
   C)  10260
   D)  13425
   E)  None of these.
   
   View Answer

     Option C
   Solution:
   ?=(500)²+(60)²+(64.5)² = 2500+3600+4160.25 = 10260
                 
10. √1225 +  √2209 –  √5329 =  √?
    A)  81
    B)  9
    C) 18
    D) 729
    E) None of these.
    
    View Answer

      Option B
    Solution:
    √1225 +  √2209 –  √5329 =  √?
    35+47-73 = 9=  √81