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Arithmetic Aptitude :: Square Root and Cube Root

  1. The cube root of .000216 is:

  2. A.
    .6
    B.

    .06

    C.

    77

    D.
    87

  3. What should come in place of both x in the equation \(\frac { X } { \sqrt{128} }\)=\(\frac { \sqrt{162}} { X } \)

  4. A.

    12

    B.

    14

    C.

    144

    D.

    196


  5. The least perfect square, which is divisible by each of 21, 36 and 66 is:

  6. A.

    213444

    B.

    214344

    C.

    214434

    D.

    231444


  7. \(\sqrt{1.5625}=?\)

  8. A.

    1.05

    B.

    1.25

    C.

    1.45

    D.

    1.55


  9. If ,3\( \sqrt{5}\) + \( \sqrt{125}\)=17.88, then what will be the value of \( \sqrt{80}\) + 6\( \sqrt{5}\) ?

  10. A.

    13.41

    B.

    20.46

    C.

    21.66

    D.

    22.35


  11. If a = 0.1039, then the value of \(\sqrt{4a^2-4a+1+3a}\) is :

  12. A.

    0.1039

    B.

    0.2078

    C.

    1.1039

    D.

    2.1039


  13. If x =\(\frac { \sqrt{3} +1} {\sqrt{3}-1 } \) and  Y = \(\frac { \sqrt{3} -1} {\sqrt{3}+1 } \) ,then the value of (x2 + y2) is:

  14. A.

    10

    B.

    13

    C.

    14

    D.

    15


  15. A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is

  16. A.

    57

    B.

    67

    C.

    77

    D.

     87


  17.  The  square root of (7 + 3 \(\sqrt{5}\)) (7 - 3\(\sqrt{5}\)) is 

  18. A.

    \(\sqrt{5}\)

    B.

    2

    C.

    4

    D.

    3\(\sqrt{5}\)


  19. If \(\sqrt{5}\)= 2. 236 ,  then value of \(\frac {\sqrt{5} } { 2 }\)\(\frac {10 } { \sqrt{5} }\)\(\sqrt{125}\) is equal to :

     

     

  20. A.

    5.59

    B.

    7.826

    C.

    8.944

    D.

    10.062


  21. If \(\sqrt{5}\)= 2. 236 ,  then value of \(\frac {\sqrt{5} } { 2 }\)\(\frac {10 } { \sqrt{5} }\)\(\sqrt{125}\) is equal to :

     

  22. A.

    5.59

    B.

    7.826

    C.

    8.944

    D.

    10.062


  23. [\(\frac { \sqrt{625} } {11} \)x\(\frac { 14 } { \sqrt{25}} \)\(\frac { 14 } { \sqrt{196}} \)] is equal to :

  24. A.

    5

    B.

    6

    C.

    8

    D.

     11


  25. \(\sqrt{0.0169}\) x  ?  =1.3

  26. A.

    10

    B.

    100

    C.

    1000 

    D.

    None of these


  27. [\(\sqrt {3}\) - \(\frac { 1 } {\sqrt{3} }]^2\)  simplifies to: 

  28. A.

    \( \frac {3 } { 4 } \)

    B.

    \( \frac {4 } { \sqrt{3}} \)

    C.

    \( \frac {4 } { 3} \)

    D.

    None of these


  29.  

    How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?

  30. A.

    1

    B.

    2

    C.

    3

    D.

    None of these