Simplifications

  • 1. Find the value of 1/(3+1/(3+1/(3-1/3))) 
A.) 3/10
B.) 10/3
C.) 27/89
D.) 89/27

Answer: Option 'C'

1/[3 + (1/(3+1/(3 - 1/3)))] 
=> 1/[3 + 1/(3 + 1/(8/3))] 
=> 1/[3 + 1/(3 + 3/8)] 
=> 1/[3 + 8/27] 
=> 1/(89/27) 
=> 27/89

  • 2. Find the value of
A.) 3½ 99;
B.) 34/99
C.) 2.131313
D.) 3.141414

Answer: Option 'D'


6/9 + 7/9 + 9/9 + 69/99 
2/3 + 7/9 + 1 + 69/99 
(66 + 77 + 99 + 69)/99 
311/99 => 3.141414

  • 3. Find the value of
    ((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
A.) 14/10
B.) 1.35
C.) 13/10
D.) 0

Answer: Option 'A'

((0.1)3 + (0.6)3 + (0.7)3 − (0.3)(0.6)(0.7))/((0.1)2 + (0.6)2 + (0.7)2 − 0.006 − 0.42 − 0.07)
=> (0.1 + 0.6 + 0.7)3/(0.1 + 0.6 + 0.7)2
=> 0.1 + 0.6 + 0.7 => 1.4 = 14/10

  • 4. Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04) 
A.) 0.56
B.) 0.65
C.) 0.54
D.) 0.45

Answer: Option 'A'

0.56

  • 5. Find the value of × in the following 
    (1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7) 
A.) 4
B.) 3
C.) 3.6
D.) 3.06

Answer: Option 'C'

3.6

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