Aptitude Questions: Simplification Set 27

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What should come in place of question mark (?) in the following questions: –

1. (78125)^1.3× (15625)^1.25÷ (125)² = 5^?
   A.8.6
   B.6.5
   C.10.6
   D.12
   E.15
   
   Answer & Explanation

   Answer – C.10.6
   Explanation :
   5 ^7*1.3 * 5 ^6*1.25 ÷ 5^3*2  = 5^?
   5 ^9.1+7.5-6 = 5 ^10.6
   
   
   
2. 77.55 ÷ 0.03 + 70.2 ÷ 0.9 – 506.25 ÷0.75 = ?
   A.1966
   B.1950
   C.1988
   D.1945
   E.1997
   
   Answer & Explanation

   Answer – C.1988
   Explanation :
   7755/3 = 2585
   702/9 = 78
   506.25/0.75 = 675
   2585+78 – 675 = 1988
   
   
   
3. (1276/44) ÷ (23/805) * (1275/510) = ?
   A.2500
   B.2835.7
   C.2537.5
   D.2800
   E.2450
   
   Answer & Explanation

   Answer –
   Explanation :
   29 * 35 * 2.5 = 2537.5
   
   
   
4. √7580 * √1325 ÷ √665 – √6395 = ?
   A.34
   B.41
   C.53
   D.60
   E.67
   
   Answer & Explanation

   Answer – B. 41
   Explanation :
   √7580 = 87 ; √1325= 36; √665 = 26 ; √6395 = 80
   87 *1.4 = 121.8 – 80 = 41.8
   
   
   
5. 79.008% of 799.998 + 42.99% of 499.999 – 53.93% of 699.92 = ?
   A.459
   B.445
   C.456
   D.496
   E.469
   
   Answer & Explanation

   Answer –
   Explanation :
   79 * 800/100 + 43 * 500 / 100 – 54*700/100
   632 + 215 – 378 = 469
   
   
   
6. √7876 x √1532 ÷ √889= ?
   A.136
   B.128
   C.116
   D.112
   E.105
   
   Answer & Explanation

   Answer – C.116
   Explanation :
   √7876 ≈ 89; √1532 ≈ 39; √889 ≈ 30
   89 x 39 ÷ 30
   
   
   
7. 429.989 ÷ 19.998 + 37.997 – 49.0023 =?
   A.9.5
   B.12.75
   C.15.5
   D.18.25
   E.22.55
   
   Answer & Explanation

   Answer – A.9.5
   Explanation :
   430/20+ 38 – 50 = 9.5
   
   
   
8. 21333.759 + 129.097 * 229.679 – 49928.915= ?
   A.1529
   B.1530
   C.1295
   D.1305
   E.1925
   
   Answer & Explanation

   Answer – D.1305
   Explanation :
   21334+130*230 – 49929
   21334 + 29900 – 49929 = 1305
   
   
   
9. 19789.856 + 296.756 – 97.89 – X = 4965 ÷ 824 * 2939.572
   A.2350
   B.2400
   C.2530
   D.2553
   E.2535
   
   Answer & Explanation

   Answer – A.2350
   Explanation :
   19790 + 297 – 98 – X = 6 * 2940
   X= 2349 
   
   
   
10. (63.83)²+ (56.96)²– (77.81)²= ?
    A.1150
    B.1260
    C.1340
    D.1450
    E.1580
    
    Answer & Explanation

    Answer – B.1260
    Explanation :
    (63.83)² = 4096
    (56.96)² = 3249; (77.81)² = 6084;
    4096+3249 – 6084 = 1261