Number System Questions and answers

  1. Aptitude
    1. Compound interest
    2. Boat and Stream
    3. Trains
    4. Percentage
    5. Discount
    6. Mixture and Allegation
    7. Unitary Method
    8. Work and Wages
    9. Pipes and Cisterns
    10. Linear Equations
    11. Approximation
    12. Word problems
    13. Number System
    14. Time and Distance
    15. Average
    16. Ratio and Proportions
    17. Profit and Loss
    18. Partnership
    19. Permutation and combination
    20. Probability
    21. Problem on ages
    22. Time and work
    23. Simple and compound interest
    24. Mensuration
    25. Number series
101). Index form of \( \Large \frac{27}{125} \) is
A). \( \Large \left(\frac{3}{5}\right)^{3} \)
B). \( \Large \left(\frac{5}{3}\right)^{3} \)
C). \( \Large \left(\frac{4}{5}\right)^{3} \)
D). None of these
102). The value of \( \Large \left(-\frac{5}{11}\right)^{3} \) is
A). \( \Large \frac{125}{1331} \)
B). \( \Large -\frac{125}{1331} \)
C). \( \Large \frac{1331}{125} \)
D). None of these
103). The value of \( \Large \sqrt[3]{\frac{27}{64}} \) is
A). \( \Large \frac{3}{4} \)
B). \( \Large \frac{4}{3} \)
C). \( \Large \frac{5}{4} \)
D). \( \Large \frac{5}{3} \)
104). \( \Large \frac{ \left(52\right)^{3} - \left(42\right)^{3} }{52 \times 52 + 52 \times 42 + 42 \times 42} = ? \)
A). 10
B). 20
C). -10
D). -20
105). If a dividend and divisor have unlike signs, then quotient will be
A). +ve
B). -ve
C). zero
D). none


106). \( \Large 25 - \frac{1}{2} \{ 5 + 4 - \left(3 + 2 - 1 + 3\right) \} \) is equal to
A). -12
B). 12
C). -21
D). 21
107). Mathematical expression for "two multiplied by one less than the difference of nineteen and six" is
A). \( \Large 2 \times \{ 6 - 19 + 1 \} \)
B). \( \Large 2 \times \{ \left(19 - 6\right) + 1 \} \)
C). \( \Large 2 \times \{ \left(19 - 6\right) - 1 \} \)
D). none of these
108). The expanded notation form of \( \Large a^{8} \) is
A). \( \Large 8 \times a \)
B). \( \Large a \times a \times a \times a \)
C). \( \Large a + a + a + a + a + a + a + a \)
D). \( \Large a \times a \times a \times a \times a \times a \times a \times a\)
109). Fifth power of \( \Large - 4 \) is
A). 1024
B). -1024
C). 64
D). none of these
110). Compare \( \Large - 28 + 45 \  and \   -32 + 5\)
A). >
B). <
C). =
D). None of these
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