1. Question: which one of the following numbers is a multiple of 8 ?

    A
    `923972`

    B
    `923962`

    C
    `923872`

    D
    `923862`

    Note: From among the given numbers, 923872 is the only number, whose last 3 digit form 872, which divisible by 8.`
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  2. Question: what should be added to 18962 to make it exactly divisible by 13 ?

    A
    2

    B
    3

    C
    4

    D
    5

    Note: 18962 when divided by 13 leaves the remainder 8. :. Number to be added = (13 - 8) = 5
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  3. Question: The least number, which when increased by 1 is exactly divisible by 12, 18, 24, 32, 40 is :

    A
    1439

    B
    1440

    C
    1449

    D
    1459

    Note: Not available
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  4. Question: which the following numbers is divisible by 25 ?

    A
    `505520`

    B
    `437950`

    C
    `124505`

    D
    `500555`

    Note: 437950 is the only number among given numbers s.t 437950` = 5 xx 87590` `= 5 xx 5 xx 17518,` which has 25 as a factors
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  5. Question: Four prime numbers are in ascending order of their magnitudes. The product of the first three is 385 and that of last three is 1001. The largest given prime number is :

    A
    11

    B
    13

    C
    17

    D
    19

    Note: we note that `5 xx 7 xx 11 = 385` The prime number next to 11 is 13. Also `7 xx 11 xx 13 = 1001.` Hence, the required number is 13
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  6. Question: The nearest integer to 58701 which is exactly divisible by 567 is :

    A
    58068

    B
    55968

    C
    58968

    D
    None

    Note: Not available
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  7. Question: The number which when multiple by 17 increase by 640 is :

    A
    42

    B
    36

    C
    40

    D
    None

    Note: Let the number be x. Then `17x - x = 640 => x = 40.`
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  8. Question: The square of a number subtracted from its cube gives 100. The number is :

    A
    25

    B
    16

    C
    6

    D
    5

    Note: `: x^3 - x^2 = 100 => x^3 - x^2 - 100 = 0` Clearly x = 5 satisfies it.
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  9. Question: If two third of three - fourth of a number added to three-fourth of the four-fifth of the number is x times the number the value of x is :

    A
    `11/10`

    B
    `1 11/11`

    C
    `10/11`

    D
    `9/11`

    Note: Let the number be p. Then `2/3 of 3/4 of p + 3/4 of 4/5 of p = px` `=> 1/2 p + 3/5 p ` `= xp => x = (1/2 + 3/5) = 11/10`
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  10. Question: which of the following numbers dose not lie between` 7/13` and `4/5` ? `1/2, 2/3, 3/4, 5/7`

    A
    `1/2`

    B
    `2/3`

    C
    `3/4`

    D
    `5/7`

    Note: `(7/13 = 0.538, 4/5 = 0.8), (1/2 = 0.5, 2/3 = 0.666, 3/4 = 0.75, 5/7 = 0.714)` Clearly, 0.5 does not lie between 0.538 and 0.8.
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