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Numbers Test 32
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Numbers Test 32
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  • Question 1/10
    1 / -0

    What will be the Unit digit of 27!

    Solutions

    Explanation :

    1*2*3*………………………………26*27

    Factorial after 6 should end with 0

     

  • Question 2/10
    1 / -0

    x p × x q × x r = 1 then p3+q3+r3 is  equal to

    Solutions

    Explanation :

    x p × x q × x r = 1

    x p+q+r  = 1

    x 0 = 1 => p+q+r = 1

    p3+q3+r3 – 3pqr = (p+q+r)(p2+q2+r2-pq-qr-rp)

    p3+q3+r3 – 3pqr = 0

    p3+q3+r3 = 3pqr

     

  • Question 3/10
    1 / -0

    If the divisor is five times the quotient and six times the remainder, if the remainder is 5 then the dividend is:

    Solutions

    Explanation :

    Q=6, R = 5

    Dividend = divisor*Q + R

    Dividend = 30*6 + 5 = 180+5 = 185

     

  • Question 4/10
    1 / -0

    If the sum and the product of 2 numbers are 25 and 144 respectively then the difference of the number should be :

    Solutions

    Explanation :

    A+B = 25

    AB = 24

    (a-b)2 = (a+b)2 – 4ab

    (a-b)2 = 252 – 4(144)

    (a-b)2 = 625 – 576

    (a-b)2 = 49

    a-b =  7

     

  • Question 5/10
    1 / -0

    The sum of the two digit number is 11. The number obtained by reversing the digit is 27  less than the original number.Then the original number is:

    Solutions

    Explanation :

    4+7 = 11

    74-47 = 27

     

  • Question 6/10
    1 / -0

    The product of 2 consecutive even number is 1224, then one of the number is:

    Solutions

    Explanation :

    34*36 = 1224

     

  • Question 7/10
    1 / -0

    212+222+232+…………………302 = ?

    Solutions

    Explanation :

    12+22+32+…………………n2 = 1/6[n(n+1)(2n+1)] = 30*31*61/6 – 20*21*41/6

    = 9455 – 2870 = 6585

     

  • Question 8/10
    1 / -0

    A number when divided by 361 gives a remainder 47. If the Same number is divided by 19 ,the remainder is:

    Solutions

    Explanation :

    47÷19=> remainder 9

    Ex : 769 ÷ 361 => remainder 47

    769 ÷ 19 => remainder 9

     

  • Question 9/10
    1 / -0

    The respective ratio between the  two digit of a number is 5:3, if the digit at the one’s place is twice the digit at ten’s place.What is the number ?

    Solutions

    Explanation :

    2x/x = 5/3

    6x = 5x

     

  • Question 10/10
    1 / -0

    N is the smallest number which when added to the 2000 makes the resulting number divisible by 12, 16, 18 and 21, Then the N is:

    Solutions

    Explanation :

    LCM of 12, 16, 18, 21 = 1008

    1008*2 = 2016

    N = 16

     

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