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Aptitude miscellaneous
  1. In a division problem, the divisor is 4 times the quotient and 3 times the remainder. If remainder is 4, the dividend is








  1. View Hint View Answer Discuss in Forum

    Given , Remainder = 4
    According to question ,
    Divisor = 3 × Remainder
    ⇒ Divisor = 3 × 4 = 12
    Again, divisor = 4 × quotient
    ⇒ 4 × quotient = 12

    Correct Option: B

    Given , Remainder = 4
    According to question ,
    Divisor = 3 × Remainder
    ⇒ Divisor = 3 × 4 = 12
    Again, divisor = 4 × quotient
    ⇒ 4 × quotient = 12

    ⇒ Quotient =
    12
    		 = 3
    4

    ⇒ Dividend = 3 × 12 + 4 = 40

  1. Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was 3042. The number of members present in the party was








  1. View Hint View Answer Discuss in Forum

    Let the required number of persons be N.
    According to the question,
    2N2 = 3042

    Correct Option: A

    Let the required number of persons be N.
    According to the question,
    2N2 = 3042

    ⇒   N2 =
    3042
    		 = 1521
    2

    ⇒   N = √1521 = 39

  1. A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?








  1. View Hint View Answer Discuss in Forum

    The least number (dividend) x is obtained as follows :

    Correct Option: B

    The least number (dividend) x is obtained as follows :

    y = 2 × 1 + 1 = 3
    x = 3 × 3 + 1 = 10
    When we divide 10 by 6, the remainder = 4

  1. A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of :








  1. View Hint View Answer Discuss in Forum

    On dividing the given number by 119, let k be the quotient and 19 as remainder.
    Then, number = 119k + 19

    Correct Option: D

    On dividing the given number by 119, let k be the quotient and 19 as remainder.
    Then, number = 119k + 19
    number = 17 × 7k + 17 × 1 + 2
    number = 17 (7k + 1) + 2
    Hence, the given number when divided by 17, gives (7k + 1) as quotient and 2 as remainder.
    Hence , required remainder is 2.

  1. The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :








  1. View Hint View Answer Discuss in Forum

    Let the numbers be p and q and p is greater than q.
    As given,
    The product of two numbers = 9375
    pq = 9375     .......(i)
    Again,

    p
    		 = 15
    q

    Correct Option: C

    Let the numbers be p and q and p is greater than q.
    As given,
    The product of two numbers = 9375
    pq = 9375     .......(i)
    Again,

    p
    		 = 15
    q

    ⇒ p = 15q
    ∴ From equation (i),
    15q × q = 9375
    ⇒  q2 =
    9375
    		 = 625
    15

    ⇒ q = √625 = 25
    ∴ p = 15y = 15 × 25 = 375
    ∴ p + q = 375 + 25 = 400
    Hence , The sum of the numbers is 400 .