Number system Practice Question and Answer

Q:

The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is –

755 0

  • 1
    24
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "28"
Explanation :

Let the consecutive odd numbers be x and (x+2)

We know that x2 + (x + 2)2 = 394

We know   x2 + x2 + 4x + 4 = 394

We know   2 x2 +4x – 390 = 0

We know   x2 + 2x – 195 = 0

We know  (x +15) (x-13) = 0

We know   x = 13

We know    Required sum = 13 +15 =28

Q:

The value of (81)3.6 * (9)2.7/ (81)4.2 * (3) is __

1021 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    8.2
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "9"
Explanation :

(81)3.6 * (9)2.7/(81)4.2 * (3) = (3)14.4 * (3)5.4/(3)16.8 * (3)

= 314.4+5.4-16.8-1

= 32

= 9 

Q:

The product of 2 numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is –

736 0

  • 1
    74
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    80
    Correct
    Wrong
  • 4
    90
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "80"
Explanation :

Let the numbers be x and y .

We know   xy = 1575

And  x/y = 9/7

We know   xy/x/y = 1575/9/7

We know    y2  = 1225

We know  y = 35 and x = 45

We know   The sum of the numbers = 45+35

= 80

Q:

Find the greatest value of (a + b) such than an 8-digit number 4523a60 b is divisible by 15.

894 0

  • 1
    13
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "13 "

Q:

Find the greatest value of k for which the 6-digit number 24312k is divisible by 6.

877 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "6 "

Q:

If an 8-digit number 1862383A is divisible by 22, find the value of A.

1526 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "6"

Q:

The 4th term of an arithmetic progression is 15, 15th term is -29, find the 10th term?

711 0

  • 1
    -5
    Correct
    Wrong
  • 2
    -13
    Correct
    Wrong
  • 3
    -17
    Correct
    Wrong
  • 4
    -9
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "-9"

Q:

Which of the following numbers is not a prime number?

842 0

  • 1
    347
    Correct
    Wrong
  • 2
    461
    Correct
    Wrong
  • 3
    731
    Correct
    Wrong
  • 4
    227
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "731"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully