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Aptitude miscellaneous
  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. The sum of first sixty numbers from one to sixty is divisible by








  1. View Hint View Answer Discuss in Forum

    As we know that ,

    Sum of first n numbers =
    n (n + 1)
    2

    Correct Option: D

    As we know that ,

    Sum of first n numbers =
    n (n + 1)
    2

    Sum of first 60 numbers =
    60 (60 + 1)
    		=
    60 × 61
    		 = 1830
    22

    The number 1830 is divisible by 61.

  1. How many natural numbers divisible by 7 are there between 3 and 200 ?








  1. View Hint View Answer Discuss in Forum

    Number just greater than 3 which is divisible by 7 = 7
    Number just smaller than 200
    which is divisible by 7 = 196
    Here, a = 7, an = 196,
    d = 7, n = 8

    Correct Option: B

    Number just greater than 3 which is divisible by 7 = 7
    Number just smaller than 200
    which is divisible by 7 = 196
    Here, a = 7, an = 196,
    d = 7, n = 8
    ∴ an = a + (n –1)d
    ⇒ 196 = 7 + (n – 1) × 7

    ⇒ n − 1 =
    196 − 7
    		 = 27
    7

    ⇒  n = 27 + 1 = 28
    2nd method to solve this question
    We can find the answer after dividing 200 by 7.
    The quotient is our answer.

  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. 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