Question:
The total number of natural numbers that lie between 10 and 300 and are divisible by 9 is
The total number of natural numbers that lie between 10 and 300 and are divisible by 9 is
Show Hint
Count multiples of 9 up to 300, subtract those up to 10: floor(300/9) - floor(10/9) = 33 - 1 = 32.
Updated On: Jul 15, 2026
- 32
- 30
- 33
- 34
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Find the first and last terms.
The first natural number greater than 10 that is divisible by 9 is 18. The last one less than 300 is 297 (since \(300/9=33.33\), so \(9\times33=297\)).
Step 2: Set up the arithmetic progression.
This forms an AP with first term 18, last term 297, and common difference 9.
Step 3: Solve for the number of terms.
\(297=18+(n-1)\times9 \Rightarrow 279=(n-1)\times9 \Rightarrow n-1=31 \Rightarrow n=32\).
Step 4: Final Answer.
There are 32 such numbers, so option A is correct.
The first natural number greater than 10 that is divisible by 9 is 18. The last one less than 300 is 297 (since \(300/9=33.33\), so \(9\times33=297\)).
Step 2: Set up the arithmetic progression.
This forms an AP with first term 18, last term 297, and common difference 9.
Step 3: Solve for the number of terms.
\(297=18+(n-1)\times9 \Rightarrow 279=(n-1)\times9 \Rightarrow n-1=31 \Rightarrow n=32\).
Step 4: Final Answer.
There are 32 such numbers, so option A is correct.
Was this answer helpful?
0
0
Top SNAP Quantitative Aptitude Questions
- Rahul starts a business with ₹ 8000. After $6$ months, Sanjay joins with some capital. If their profits after one year are equal, find Sanjay's investment.
- A watch is bought for ₹ 1950 in cash and sold for ₹ 2200 on one-year credit. If the interest rate is $10\%$ p.a., find the trader's gain/loss.
- An article is listed at ₹ 65. A customer bought this article for ₹ 56.16 and got two successive discounts, the first being $10\%$. What was the other discount rate allowed by the shopkeeper?
A company has $50{,}000$ preferred shares with dividend $20\%$ and $20{,}000$ common shares; par value of each share is ₹ 10. The total profit is $₹ 1{,}80{,}000$, of which $₹ 30{,}000$ is kept in reserve and the rest distributed to shareholders. Find the dividend percent paid to common shareholders.
A man buys apples at a certain price per dozen and sells them at eight times that price per hundred. What is his gain or loss percent?
View More Questions
Top SNAP Number System Questions
- In a division sum, the divisor \(d=457\), the quotient \(q=110\), and the remainder \(r=242\). Find the dividend.
- Three bells ring once every \(12\) minutes, \(20\) minutes and \(36\) minutes respectively. If all of them ring together at \(6{:}30\) a.m., at what time will they next ring together on the same morning?
- If \(a\) and \(b\) are whole numbers such that \(ab = 121\), find the value of \((a-1)b + 1\).
- Find the least number which, when divided by 12, 15, 20, and 54, leaves a remainder of 8 in each case.
- Find the smallest number between 2000 and 3000 that is exactly divisible by 21, 24 and 28.
View More Questions
Top SNAP Questions
- In a retail outlet, the average revenue was Rs.10,000 per day over a 30 day period. During this period, the average revenue on weekends (total 8 days) was Rs. 20,000 per day. What was the average daily revenue on weekdays?
- Two different prime numbers X and Y, both are greater than 2, then which of the following must be true?
- It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B alone takes 8 hours to fill the same tank. A, B and another pump C all together fill the tank in 2 hours. How long would pump C take, used alone, to fill the tank?
- A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pump working on its own. At 9 am, pump A is started. At what time will the swimming pool be filled if pump B is started at 10 am?
- The sum of prime numbers that are greater than 60, but less than 70 is :
View More Questions