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How many numbers between 1 and 250 are divisible by 5 but not by 9

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Important Questions on Numbers and Their Properties

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A and B are two distinct digits. If the sum of the two-digit numbers formed by using both the digits is a perfect square, what is the value of (A+B)?
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A number N=897324P64Q is divisible by both 8 and 9. Which of the following is the value of (P+Q) ?

i. 2

ii. 11

iii. 9
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Nitin had forgotten his 6 -digit bank account number but only remembered that it was of the form X 515 X 0 and was divisible by 36. What was the value of X?
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Students from the Delhi Public School are writing their exams in Kendriya Vidyalaya. There are 60 students writing their Hindi exams, 72 students writing French exam, and 96 students writing their English exams. The authorities of the Kendriya Vidyalaya have to make arrangements such that each classroom contains an equal number of students. What is the minimum number of classrooms required to accommodate all students of Delhi Public School?
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In the Jyotirmayi school, all classes started at 9:00 am. The school has three sections: primary, middle, and secondary. Each class for the primary section lasts for 30 min, for the middle section for 45 min, and for the secondary section for 30 min. A lunch break has to be given for the entire school when each of three sections has just finished a respective class and are free. What is the earliest time for the lunch break?
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In the firing range, 4 shooters are firing at their respective targets. The first, the second, the third and the fourth shooter hits the target once every 5 s, 6 s, 7 s and 8 s, respectively. If all of them hit their target at 10:00 am, when till they hit their target together again?
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Two friends Harry and Jayesh were discussing two numbers. They found the two numbers to be such that one was twice the other. However, both had the same number of prime factors, while the larger one had 4 more factors than the smaller one. What are the numbers?
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To celebrate their victory in the World Cup, the Sri Lankans distributed sweets. If the sweets were distributed among 11 players, 2 sweets were left. When the sweets were distributed to 11 players, 3 extra players, and 1 coach, even then 2 sweets were left. What is the minimum number of sweets in the box?