Number System Questions Practice Question and Answer

Q:

If the number x3339 is divisible by 11, what is the face value of x?

1339 0

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

Q:

Three numbers are such that if the average of any two of them is added to the third number, the sums obtained are 168, 174 and 180 respectively. What is the average of the original three numbers?

1337 0

  • 1
    84
    Correct
    Wrong
  • 2
    87
    Correct
    Wrong
  • 3
    89
    Correct
    Wrong
  • 4
    86
    Correct
    Wrong
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Answer : 2. "87"

Q:

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

1333 0

  • 1
    8
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    11
    Correct
    Wrong
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Answer : 2. "1 "
Explanation :

Let number (dividend) be X.

∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.

= 37 × 8 × Q + 37 × 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

Hence, divide 75 by 37, the remainder is 1].

Q:

The greatest number which when divided by 989 and 1327 leaves remainder 5 and 7 respectively is

1328 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 3. "24 "

Q:

What value will come in place of question mark (?) in the questions given below?

837 ÷ ? × 0.8 = 9.3 

1323 0

  • 1
    72
    Correct
    Wrong
  • 2
    78
    Correct
    Wrong
  • 3
    76
    Correct
    Wrong
  • 4
    75
    Correct
    Wrong
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Answer : 1. "72 "

Q:

The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?

1322 0

  • 1
    2
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    +1
    Correct
    Wrong
  • 4
    -1
    Correct
    Wrong
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Answer : 4. "-1"

Q:

96-11 when divided by 8 would leave a remainder of :

1319 0

  • 1
    6
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 1. "6"
Explanation :

Q:

What is the sum of two consecutive even numbers, the difference of whose square is 84? 

1319 0

  • 1
    42
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    38
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 1. "42 "

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