1. Question: ` 14.3 + 16.78 - ? = 9.009`

    A
    `40.089`

    B
    ` 22.071`

    C
    ` 21.810`

    D
    None

    Note: Let ,`14.3 + 16.78 - x` `=9.009.` Then, `31.08 - x` `=9.009` :.x` = (31.08 - 9.009)` `22.071`
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  2. Question: ` 852.2109` + 106.78 - 59.157 = ?`

    A
    ` 899.8339`

    B
    ` 889.8339`

    C
    ` 899.9833`

    D
    ` 804.5879`

    Note: `852.2109 + 106.78 - 59.157` `=985.9909 - 59.157` `=899.8339`
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  3. Question: ` 5463 + 546.3 - 54.63 ÷ ? = 5999.3`

    A
    ` .05463`

    B
    ` .5463`

    C
    ` 5.463`

    D
    `None

    Note: Let, `5463 + 546.3 - 54.63 ÷ x` `= 5999.3` Then,`5463 + 546.3 - (54.63)/x` `= 5999.3` or `6009.3 - (54.63)/x` `= 5999.3` or `54.63/x` `= 6009.3 - 5999.3` or ` 54.63/x` `=10` or x `= 54.63/10` `=5.463`.
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  4. Question: Which of the following sets of fractions is in descending oder ?

    A
    `3/5, 7/9, 6/7`.

    B
    `7/9, 3/5, 6/7`

    C
    `7/9, 6/7, 3/5`

    D
    `6/7, 7/9, 3/5`

    Note: Coverting each one of the fiven fraction in decimal form ,we get : `5/6=0.833, 6/8` `0.75, 7/9` `= 0.777, 11/13` `= 0.846` Clearly, `0.75 < 0.777 < 0.833 < 0.846` or `6/8 < 7/9 < 5/6 < 11/13`
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  5. Question: Which of the following sets of fraction is in ascending oder ?

    A
    ` 5/6, 6/8, 7/9, 11/13`

    B
    ` 6/8, 7/9, 5/6, 11/13`,

    C
    ` 11/13, 5/6, 7/9, 6/8`.

    D
    ` 11/13, 7/9, 6/8, 5/6`

    Note: Not available
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  6. Question: Which part contain the fraction in ascending order ?

    A
    `11/14, 16/19, 19/21`,

    B
    `16/19, 11/14, 19/21`,

    C
    `19/21, 11/14, 16/19`,

    D
    `16/19, 19/21, 11/14`

    Note: Converting each into decimal form,we get : `11/14 = 0.785,16/19` `= 0.842 & 19/21` `= 0.904`. Clearly , `0.785<0.842<0.904` or `11/14<16/19<19/21`/
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  7. Question: Which of the following fraction is the smallest ?

    A
    `13/16`

    B
    `15/19`

    C
    `17/21`

    D
    `7/8`

    Note: We have :`13/16 = 0.8125,15/19` `= 0.7894,17/21` `= 0.8095 & 7/8` `= 0.875`.
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  8. Question: ` 0.000006723`when expressed in scientific notation, is :

    A
    `6723 xx 10^-5`

    B
    `67.23 xx 10^-7`

    C
    `6.723 xx 10^-6`

    D
    None

    Note: `0.000006723` `= (0.00000723 xx 10^6)/10^6` `= 6.723/10^6` `= 6.723 xx 10^-6`
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  9. Question: What decimal of an hour is a second ?

    A
    `.0025`

    B
    `.0256`

    C
    `.00027`

    D
    `.000126`

    Note: Required decimal `= 1/(60 xx 60)` `= 1/3600` `= .00027`.
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  10. Question: If `1.125 xx 10^k = 0.001125`, then the value of k is :

    A
    `-4`

    B
    `-3`

    C
    `-2`

    D
    `-1`

    Note: `10^k = 0.001125/1.125` `= 1.125/1125` `= (1.125 xx 10^3)/(11125 xx 10^3)` `= 1/10^3` `= 10^-3` :. k `= -3`.
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