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Aptitude miscellaneous
  1. When two numbers are separately divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be








  1. View Hint View Answer Discuss in Forum

    Here , d = 33
    If two numbers are separately divided by a certain divisor (d) leaving remainders r1 and r2, then remainder after their sum is divided by the same divisor.

    Correct Option: D

    Here , d = 33
    If two numbers are separately divided by a certain divisor (d) leaving remainders r1 and r2, then remainder after their sum is divided by the same divisor.
    Required Remainder = r1 + r2 – d
    Required Remainder = 21 + 28 – 33 = 16

  1. When a number is divided by 387, the remainder obtained is 48. If the same number is divided by 43, then the remainder obtained will be–








  1. View Hint View Answer Discuss in Forum

    According to question ,


    ∴  
    Number
    		 , Remainder = 48
    387

    Here, 387 is a multiple of 43.

    Correct Option: C

    According to question ,


    ∴  
    Number
    		 , Remainder = 48
    387

    Here, 387 is a multiple of 43.
    ∴ Remainder obtained on dividing 48 by 43 = 5
    Hence 5 is the required remainder.

  1. A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been








  1. View Hint View Answer Discuss in Forum

    Let the number be p.
    According to question ,


    ∴  
    p + 12
    		 = 112
    6

    Correct Option: B

    Let the number be p.
    According to question ,


    ∴  
    p + 12
    		 = 112
    6

    ⇒   p + 12 = 672
    ⇒   p = 672 – 12 = 660

    ∴  Correct answer =
    660
    		 + 112
    6

    Correct answer =  110 + 12 = 122

  1. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be








  1. View Hint View Answer Discuss in Forum

    Let two numbers are P and Q.
    According to question ,
    First number (P) = 17p + 13
    Second number (Q) = 17q + 11

    ∴ 
    P + Q
    		 =
    17(p + q)
    		 +
    13 + 11
    171717

    Correct Option: C

    Let two numbers are P and Q.
    According to question ,
    First number (P) = 17p + 13
    Second number (Q) = 17q + 11

    ∴ 
    P + Q
    		 =
    17(p + q)
    		 +
    13 + 11
    171717

    ∴  Required remainder
    = Remainder obtained on dividing
    11 + 13 = 24
    ⇒ 24 = ( 17 × 1 ) + 7
    Hence , Required remainder = 7

  1. When ‘n’ is divisible by 5 the remainder is 2. What is the remainder when n2 is divided by 5 ?








  1. View Hint View Answer Discuss in Forum

    If n is divisible by 5 then remainder = 2.
    Required remainder = Remainder obtained by dividing 22 by 5.

    Correct Option: D

    If n is divisible by 5 then remainder = 2.
    Required remainder = Remainder obtained by dividing 22 by 5.
    Hence Remainder = 4