In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?
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What is the value of 2 consecutive natural numbers, sum of whose squares is 145?
Which smallest number must be subtracted from 400, so that the resulting number is completely divisible by 7?
A number is greater than twice its reciprocal by 31/4. Find the number.
What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?
Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?
Product of digits of a 2-digit number is 18. If we add 63 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.
The sum of three consecutive even integers is 84. Which is the least integer among them?
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