General Mathematics
 

  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. Question: Which of the following fractions is less than `7/8` and greater than `1/3 ?`

    A
    `1/4`

    B
    `22/24`

    C
    `11/12`

    D
    `17/24`

    Note: `7/8 = 0.875,1/3` `= .333,1/4` `= 0.25,23/24` `= 0.958,11/12` `= 0.916,17/24` `= 0.708` `clearly,`0.708` lies between `0.333`& 0.875`. `:.Required fraction is` `17/24`
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  8. Question: A Metre is taken to be equal to `39.3701` inches . If the value is approximated to `39 (7)/(20)` inches ,the relative percentage erro is :

    A
    `5%`

    B
    `0.5%`

    C
    `.05%`

    D
    `0.005%`

    Note: Exact value`= 39.3701` inches Approximate value = `39 + 7/20` `= 39 + 0.35` `= 39.35`.
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  9. Question: ` 0.393939`... is equivalent to the fraction :

    A
    `39/100`

    B
    `39/99`

    C
    `93/100`

    D
    None

    Note: `0.393939....` `= 0.bar39` `= 39/99`
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  10. Question: The fraction for `0.535353....`is :

    A
    `6/53`

    B
    `27/53`

    C
    `28/53`

    D
    `53/99`

    Note: `0.5353...` `= 0.bar53` `= 53/99`.
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