Number System Questions Practice Question and Answer

Q:

Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:

597 0

  • 1
    1558
    Correct
    Wrong
  • 2
    1458
    Correct
    Wrong
  • 3
    1585
    Correct
    Wrong
  • 4
    1485
    Correct
    Wrong
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Answer : 4. "1485"
Explanation :

Given :- Two positive numbers differ by 1280 

When the greater number is divided by the smaller number The quotient is 7 and the remainder is 50 

Concept :- Dividend = Quotient × divisor + remainder 

Calculation :- Let greater number = a and Smaller number = b From question, ⇒ a - b = 1280 ....(1) Again from question, ⇒ a = 7b + 50 ....(2) 

Put the value of a from equation (2) into equation (1) ⇒ 7b + 50 - b = 1280 ⇒ 6b = 1280 - 50 ⇒ 6b = 1230 ⇒ b = (1230/6) ⇒ b = 205 

Put the value of b in equation (1) ⇒ a - 205 = 1280 ⇒ a = 1280 + 205 ⇒ a = 1485 ⇒ Greater number = 1485 ∴ Greater number is 1485

Q:

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

589 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:

When a number is divided by 192 the remainder is 54. What will be the remainder when the same number is divided by 16?

586 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 3. "6"

Q:

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

585 0

  • 1
    -5
    Correct
    Wrong
  • 2
    -13
    Correct
    Wrong
  • 3
    -17
    Correct
    Wrong
  • 4
    -9
    Correct
    Wrong
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Answer : 4. "-9"

Q:

The product of 1.7 ´ 104 and 12.5 ´ 10–6 is expressed in the standard form as k ´ 10n . The value of (2k + n) is

584 0

  • 1
    2.125
    Correct
    Wrong
  • 2
    1.125
    Correct
    Wrong
  • 3
    2.25
    Correct
    Wrong
  • 4
    3.25
    Correct
    Wrong
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Answer : 4. "3.25"

Q:

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be

580 0

  • 1
    10
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "5"
Explanation :

Solution: 

=> remainder (शेषफल)=5

Q:

If , then the value of is:

572 0

  • 1
    20
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 4. "18"

Q:

Direction: What value will come in place of the question mark (?) in the following question?

32, 50, 86, ?, 212, 302

571 0

  • 1
    168
    Correct
    Wrong
  • 2
    126
    Correct
    Wrong
  • 3
    140
    Correct
    Wrong
  • 4
    158
    Correct
    Wrong
  • 5
    160
    Correct
    Wrong
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Answer : 3. "140"

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