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Question

A watch at a particular time indicates that it is Monday 1 pm. What will be indication in the watch after completing 101 hours ?

The correct answer is

Friday, 6 pm

The day of the week repeats every 24 hours, so break the 101 hours into whole days plus a remainder.

\(101 = 24 \times 4 + 5\), so 101 hours is 4 complete days and 5 hours.

Add the 4 complete days first. Four days after Monday 1 pm is Friday 1 pm, and the clock time is unchanged because whole days leave the time of day exactly as it was.

Now add the remaining 5 hours to Friday 1 pm, which gives Friday 6 pm. The addition stays within the same afternoon, so there is no further roll-over into the next day.

Hence the watch will indicate Friday, 6 pm.

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Important Questions from Number System

  1. What is the value of 1 2 + 2 2 + 3 2 + ......21 2 ?

  2. Which sequence is correct to represent the hierarchical chain of number system?

    (Where N - Natural Numbers

    W - Whole Numbers

    Q - Rational Numbers

    Z - Integers)

  3. What must be added to 45680 to make it exactly divisible by 9?

  4. How many zeroes are there at the end of the following product? 

    1 x 5 x 10 x 15 x 20 x 25 x 30 x 35 x 40 x 45 x 50 x 55 x 60

  5. Let XYZ be a three-digit number, where (x + y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

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