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Square Root Practice Problems: Level 01

Solve the given practice questions based on square roots. Also, the answer key and explanations are given for the same.
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  1. What approximate value will come (?) in the following equation?
    [image]
    A. 498
    B. 369
    C. 611
    D. 513

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    Answer : Option D
    Take 15.01 = 15, 81.009 = 81, 152 + √81 × 32 = 513
  2. What approximate value will come (?) in the following equation?
    84.95% of 280 + √? = 253.001
    A. 256
    B. 324
    C. 18
    D. 225
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    Answer : Option D
    253.001=253, 84.95% of 280 + √? =253. Hence, answer is 225
  3. √1.5625 = ?
    A. 125
    B. 12.5
    C. 1.05
    D. 1.25

    Answer : Option D
    [image]
  4. What approximate value will come (?) in the following equation?
    [image]
    A. 3,000
    B. 3,00,000
    C. 30, 00,000
    D. 5000

    Answer : Option B
    Take 10008.99 = 10009, 10009.001=10009, 0.4987 = 0.5
    Solving 10009 × √3589 × .5 = 10000 × 60 × 0.5 = 300000
  5. √45796 = ?
    A. 196
    B. 216
    C. 186
    D. 214

    Answer : Option D
    √45796 = 214
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  1. √484 + √529
    A. 43
    B. 47
    C. 45
    D. 23

    Answer : Option C
    Square root of 484 is 22 and square root of 529 is 23. So adding the two we get the answer as 45.
  2. What approximate value will come (?) in the following equation?
    [image]
    A. 20
    B. 2
    C. 45
    D. 16

    Answer : Option B
    Square root 570 × 580 is almost middle of these two i.e. 575. Also take 2 instead of 1.98. Solving it further, we get the answer as 2.
  3. In a class each of the students contributed as many paise as there are number of students. If the total collection was Rs. 64, what is the number of students in the class?
    A. 90
    B. 82
    C. 80
    D. None of these

    Answer : Option C
    Let the number of students in the class be x. Now each of these students contributed ‘x’ paise each. So the total collection will be x2 paise. Now the total collection is given to be Rs. 64, which is 6400 paise. As per the statement of the question x2 = 6400 ⇒ x = 80. Thus there are 80 students.
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  4. [image]
    A. 14
    B. 15
    C. 18
    D. 24

    Answer : Option B
    Given exp. = √176 + 49 = √225 = 15
  5. [image]
    A. 5
    B. 6
    C. 8
    D. 11

    Answer : Option A
    Given exp. = (25/11) x (14/5) x (11/14) = 5
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