Aptitude Questions: Simplification Set 24

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1. (29.8% of 260) + (60.01% of 510) – 103.57 = ?
   A. 450
   B. 320
   C. 210
   D. 280
   E. None of these
   

   Answer & Explanation

   Answer – D. 280
   Explanation :
   30% of 260 + 60% of 510 – 103 = 281≈ 280
   
   
2. (21.98)² – (25.02)² + (13.03)² = ?
   A. 85
   B. 25
   C. 75
   D. 65
   E. None of these
   

   Answer & Explanation

   Answer – B. 25
   Explanation :
   (21.98)² – (25.02)² + (13.03)² = 484 – 625 + 169 = 28
   
   
3. (0.064)*(0.4)⁷ = (0.4)^? * (0.0256)²
   A. 7
   B. 2
   C. 8
   D. 3
   E. None of these
   

   Answer & Explanation

   Answer – B. 2
   Explanation :
   (0.4)^? = (0.064)*(0.4)⁷ / (0.0256)² = (0.4)²
   
   
   
4. 572 ÷ 26 * 12 – 200 = (2)^?
   A. 5
   B. 6
   C. 8
   D. 7
   E. None of these
   

   Answer & Explanation

   Answer – B. 6
   Explanation :
   572 ÷ 26 * 12 – 200
   = 22 * 12 – 200 = 264 – 200 = 64 = (2)⁶
   
   
   
5. 350% of ? ÷ 50 + 248 = 591
   A. 4700
   B. 4900
   C. 4100
   D. 4600
   E. None of these
   

   Answer & Explanation

   Answer – B. 4900
   Explanation :
   350% of ? ÷ 50 + 248 = 591
   x = (343 * 100 * 50) / 350 = 4900
   
   
6. 534.596 + 61.472 – 496.708 = ? + 27.271
   A. 126.631
   B. 62.069
   C. 72.089
   D. 132.788
   E. None of the above
   

   Answer & Explanation

   Answer –C. 72.089
   Explanation :
   = 534.596 + 61.472 – 496.708 – 27.271
   = 596.068 – 523.979 = 72.089
   
   
7. (√5 – 2)² = ? – √80
   A. 5
   B. 6
   C. 7
   D. 1
   E. 9
   

   Answer & Explanation

   Answer – E. 9
   Explanation :
   = 5 + 4 – 4√5 + 4√5 = 9
   
   
8. (√3 – 2)² = ? – √12 – √36
   A. 13 – 2√3
   B. 13 – 4√3
   C. 13 – 6√3
   D. 13 – 9√3
   E. None of these
   

   Answer & Explanation

   Answer A. 13 – 2√3
   Explanation :
   (√3 – 2)² = ? – √12 – √36
   3 + 4 – 4√3 = x – 2√3 – 6
   13 – 2√3 = x
   
   
9. (9 ÷ 2 * 27 ÷ 9)/(18 ÷ 7.5 * 5 ÷ 4)
   A. 3.5
   B. 2.5
   C. 5.5
   D. 4.5
   E. None of these
   

   Answer & Explanation

   Answer – D. 4.5
   Explanation :
   (9 ÷ 2 * 27 ÷ 9)/(18 ÷ 7.5 * 5 ÷ 4) = 27/6 = 4.5
   
   
10. 64¹² ÷ 4¹⁵ = 64^?
    A. 6
    B. 8
    C. 7
    D. 5
    E. None of these
    

    Answer & Explanation

    Answer – C. 7
    Explanation :
    64¹² ÷ 4¹⁵ = 64^?
    64^{12 – 5} = 64⁷