Two boats start from the opposite banks of a river simultaneously. They meet at a distance of 410 m from one of the banks and continue sailing further till they reach the opposite banks. They take rest for 1 hr each and start off the return journey. Now they meet at a distance of 230 m from the other bank. Find the distance between the two banks. Note: (Assume that river water is almost still)
An ‘n’ digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible ‘n’ digits numbers exceeds 10000, then what is the minimum value of n?
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
If a2b3c = 256/27 then find the minimum value of (a + b + c), where a, b and c are positive real numbers.
What is the remainder when 36001 is divided by 13?
Three triangular pyramid shaped dice, each having the faces numbered 1, 2, 3 and 4 were rolled simultaneously. What is the probability that the sum of the numbers on the three faces appearing at the bottom is at least 8?
Four digit numbers are formed using digits 3, 5, 6 and 8 without any repetition of digit in any number. Out of all such numbers formed, how many are divisible by 4 but neither divisible by 8 nor by 11?
A person used to save 20% of his income. Since his income has increased by 20%, he started giving 10% of the income to a charity. Now he is saving16(2/3)% of his net income (after donation to the charity). Find the percentage change in his “Saving percent”. [“Saving percent” is defined as the savings of the person as a percentage of his income]
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