Aptitude Questions – Simplification Set 32

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1. (√3 + 1)² = ? + √12
   A. 2
   B. 6
   C. 3
   D. 4
   E. None of these
   
   Answer & Explanation

   Answer – D. 4
   Explanation :
   (√3 + 1)² = ? + √12
   3 + 2√3 + 1 = ? + 2√3 = 4
   
   
2. 621 ÷ 27 * 2 – 37 = √?
   A. 3
   B. 9
   C. 81
   D. 121
   E. None of these
   
   Answer & Explanation

   Answer – C. 81
   Explanation :
   621 ÷ 27 * 2 – 37 = √?
   23 * 2 – 37 = √? = 9
   x = 81
   
   
3. √? + 43 = √19881
   A. 9216
   B. 8464
   C. 9604
   D. 8836
   E. None of these
   
   Answer & Explanation

   Answer – C. 9604
   Explanation :
   √? + 43 = √19881
   √? = 141 – 43
   x = 9604
   
   
4. 325 – (12)² + 75 = (?)² – 68
   A. 324
   B. 384
   C. 12
   D. 18
   E. None of these
   
   Answer & Explanation

   Answer – D. 18
   Explanation :
   325 – (12)² + 75 = (?)² – 68
   325 – 144 + 75 + 68 = (?)²
   (?)² = 324
   x = 18
   
   
5. (62.5 * 14 * 5) ÷ 25 + 41 = (?)³
   A. 4
   B. 6
   C. 5
   D. 8
   E. None of these
   
   Answer & Explanation

   Answer – B. 6
   Explanation :
   (62.5 * 14 * 5) ÷ 25 + 41 = (?)³
   4375 ÷ 25 + 41 = (?)³
   (?)³ = 216
   x = 6
   
   
6. 48356 + 5412 – 736 = ? * 40
   A. 1302.6
   B. 1218.9
   C. 1325.8
   D. 1412.5
   E. None of these
   
   Answer & Explanation

   Answer –C. 1325.8
   Explanation :
   48356 + 5412 – 736 = x * 40
   53032 = x * 40
   x = 1325.8
   
   
7. 538.24 – 193.42 + 343.91 = ?
   A. 725.63
   B. 851.13
   C. 688.73
   D. 648.63
   E. None of these
   
   Answer & Explanation

   Answer – C. 688.73
   Explanation :
   538.24 – 193.42 + 343.91 = 882.15 – 193.42 = 688.73
   
   
8. (32.4 * 8 * 5 + 4) ÷ 26 + 14 = (?)²
   A. 8
   B. 2
   C. 18
   D. 12
   E. None of these
   
   Answer & Explanation

   Answer – A. 8
   Explanation :
   32.4 * 8 * 5 + 4 = 1300
   1300 ÷ 26 + 14 = 64 => x = 8
   
   
9. 3/8 of 4/5 of 5/6 of 7450 = ?
   A. 1862.5
   B. 2862.5
   C. 1634.5
   D. 1734.5
   E. None of these
   
   Answer & Explanation

   Answer – A. 1862.5
   Explanation :
   3/8 of 4/5 of 5/6 of 7450 = 3/8 * 4/5 * 5/6 * 7450
   = 7450/4 = 1862.5
   
   
10. 44616 ÷ √? = 143 * 6
    A. 2504
    B. 2704
    C. 1504
    D. 1404
    E. None of these
    
    Answer & Explanation

    Answer – B. 2704
    Explanation :
    44616 ÷ √? = 143 * 6
    √?  = 2704