# Aptitude Questions – Simplification Set 33

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1. √3840.56 × [(501.01)2 / 250] × 0.987 = ? *1000
A.56
B.76
C.43
D.51
E.62
Answer & Explanation
Answer – E.62
Explanation :
62*1000*1 = 62000
? = 62
2. 1/[2 + (1/(4+(1/(5 – 1/3))))] = ?
A.131/57
B.47/121
C.117/39
D.59/132
E.110/59
Answer & Explanation
Answer – D.59/132
Explanation :
1/[2 + (1/(4+(1/(5 – 1/3))))] = 1/[2+(1/(4+(3/14)))] = 1/[2+(14/59)] =1/[118+14/59] =1/(132/59)
=59/132
3. 11111.10 ÷ 989.88×88.88÷0.798 = ?
A.1010
B.1000
C.1100
D.1001
E.1011
Answer & Explanation
Answer – C.1100
Explanation :
10000 ÷ 1000 = 10
88÷0.8 = 110
10*110 = 1100
4. 3√ 0.000001728 = ?
A.0.012
B.0.12
C.0.014
D.0.0012
E.0.016
Answer & Explanation
Answer – A.0.012
Explanation :
0.012*0.012*0.012 = 0.000001728
5. 1(2/3) + 2(4/9)  – 3(7/15) =  ?
A.0.64
B.0.55
C.0.72
D.0.58
E.0.46
Answer & Explanation
Answer – A.0.64
Explanation :
5/3 +22/9 – 52/15 = 75 +110-156/45 = 29/45
6. √ 3/7 × 1124 – ? = 21
A.15
B.3
C.9
D.7
E.11
Answer & Explanation
Answer – C.9
Explanation :
0.4 *1124 = 449.6 = 450
450-9 = 441
441 = 21*21
7. If a – b = 7 and a2 + b2 = 53, find the value of ab.
A.5
B.3
C.0.5
D.1
E.2
Answer & Explanation
Answer – E.2
Explanation :
2ab = (a2 + b2) – (a – b)2
2ab = 53-49 =4
ab =4/2 = 2
8. 45% of 870 + 67% of 1250 – 21% of 540 = ?
A.1087
B.1115
C.1439
D.1560
E.1239
Answer & Explanation
Answer – B.1115
Explanation :
391+837-113 =1115
9. 17 × 756 ÷ √2916 = ? +540
A.312
B.-223
C.-302
D.-217
E.-421
Answer & Explanation
Answer – C.-302
Explanation :
17*756÷54 = ? +540
17*14 = ? +540
238 = ? + 540
? =238-540 = -302
10. √[16+(1/21)] ÷ √[16+(21/84)] × 702/27 = ?
A.26
B.32
C.43
D.17
E.31
Answer & Explanation
Answer – A.26
Explanation :
= √(337/21 )÷ √(1365/84) × 26
= 16÷16 ×26 = 26