Question
A metal plate with a circular hole at the centre is
heated. What will happen to the area of the hole?Solution
Assuming the disc is uniform and isotropic (the same in different directions), the hole will expand in the same ratio as the metal. It is because the thermal expansion equation applies to all lengths associated with the metal, including the circumference of the hole, since the edge of the hole is made out of metal. And if the circumference of the hole expands, so does the diameter.
A number 'N' when divided by 14 leaves 5 as remainder. If 3N2 is divided by 14, then find the remainder.Â
Find the third proportion of 22 and 11.
A sum of money is shared in the ratio of 2:3:5. The smallest share is divided again in the ratio of 1:3. What fraction of the total sum of money is the ...
When the digits of a two-digit number are interchanged, the new number becomes 23 more than 150% of the original number. If the sum of the digits is 8, ...
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The product of two positive numbers is 192. If one of the numbers is twice the other, then find the difference between the given two numbers.
Some pencils were distributed among (x + 2) students such that each student received 10 pencils. If there had been 5 students more, then pencils receive...
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...Nine numbers are arranged in decreasing order. The average of the first eight numbers is 50, and the average of the last eight numbers is 45. What is th...
- If '81x4y' is a five-digit number which is divisible by 72, then find the value of (3x + 5y).
