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Numbers Test 31
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Numbers Test 31
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  • Question 1/10
    1 / -0

    The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2nd largest number ?

    Solutions

    Explanation :

    X+x+2+x+4 = 40+(x+x+2+x+4)/3

    3x+6 = 40+ (3x+6)/3

    (9x+18 – 3x-6)/3= 40

    6x + 12 = 120

    X = 108/6 = 18

    18+2 = 20

     

  • Question 2/10
    1 / -0

    The sum of 3 consecutive number is 1251, Find the largest even number ?

    Solutions

    Explanation :

    X+x+1+x+2 = 1251

    3x+3 = 1251

    X = 1248/3 = 416

    X+2 = 416+2 = 418

     

  • Question 3/10
    1 / -0

    What is the least number that can be added to 7218 make it a perfect square ?

    Solutions

    Explanation :

    85*85 = 7225

     

  • Question 4/10
    1 / -0

    If a = -2 and b = -5 then find the value of  a3 + b3 – a2 + b2 + 2a – 3b

    Solutions

    Explanation :

    a3 + b3 – a2 + b2 + 2a – 3b

    (-2)3 + (-5) 3 – (-2)2 + (-5)2 + 2(-2) – 3(-5) = -8 -125-4+25-4+15 = -101

     

  • Question 5/10
    1 / -0

    x+(1/x) = 2, then find the value of x10 + (-1/x)10

    Solutions

    Explanation :

    X2+1 = 2x

    X2– 2x+1 = 0

    X= 1

    x10 + (-1/x)10 = 1+1 = 2

     

  • Question 6/10
    1 / -0

    The average of 7 consecutive number is n, if the next 2 number also included then the new average will be increased by ?

    Solutions

    Explanation :

    Avg of 7 no= (7+1)/2 = 8/2 = 4

    Avg of 9 no = (9+1)/2 = 5

    5- 4 = 1

    Hence increased by 1

     

  • Question 7/10
    1 / -0

    When a positive number n is divided by 7 leaves the remainder 2, when 3n is divided by the same number, then the remainder is:

    Solutions

    Explanation :

    N = 7+2 =9

    3n = 27

    27/7 = 6

     

  • Question 8/10
    1 / -0

    The number of prime factors of 510510.

    Solutions

    Explanation :2*3*5*7*11*13*17 = 510510

     

  • Question 9/10
    1 / -0

    Which one cannot be the square of a natural number ?

    Solutions

    Explanation :Square number can never end in 2,7

     

  • Question 10/10
    1 / -0

    25% of a number is 2 time 65% of another number.Find the ratio of the second no to the first number ?

    Solutions

    Explanation :

    (a*25)/100 = b(2*65)/100

    a*25 = b*130

    a/b = 130/25 = 26/5

    b:a = 5:26

     

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