Number System Questions Practice Question and Answer

Q:

In an examination, a student was asked to find 3/11 of a certain number, by mistake, he found 3/4 of it. His answer was 315 more than the correct answer. The given number is –

905 0

  • 1
    629
    Correct
    Wrong
  • 2
    660
    Correct
    Wrong
  • 3
    617
    Correct
    Wrong
  • 4
    576
    Correct
    Wrong
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Answer : 2. "660"

Q:

The product of the zeroes of the quadratic polynomial x2+7x+ 10 is

439 0

  • 1
    12
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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Answer : 2. "10"

Q:

What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?

646 0

  • 1
    1
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 3. "5"

Q:

When (6767 +67) is divided by 68, the remainder is-

599 0

  • 1
    13
    Correct
    Wrong
  • 2
    63
    Correct
    Wrong
  • 3
    66
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 3. "66"
Explanation :

(6767+ 67) = 67(6766 + 166)

As 66 is an even number

We know   6766 is an even number

We know   (6766 + 1) is perfectly divisible by (67 + 1)

i.e. 68

We know   The remainder = 66

(6767+ 67) = 67(6766 + 166)

Q:

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

434 0

  • 1
    24
    Correct
    Wrong
  • 2
    32
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    28
    Correct
    Wrong
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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 __

585 0

  • 1
    3
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    8.2
    Correct
    Wrong
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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 –

483 0

  • 1
    74
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    80
    Correct
    Wrong
  • 4
    90
    Correct
    Wrong
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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.

572 0

  • 1
    13
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 1. "13 "

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