Question : How many numbers are there between 501 and 701 which are divisible by 10 but are not divisible by 3?
Option 1: 20
Option 2: 14
Option 3: 15
Option 4: 13
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 13
Solution : The number of terms ($n$) in an arithmetic progression where $d$ is the common difference is given by the formula: $n = \frac{\text{last term - first term}}{d} + 1$ The numbers between 501 and 701 that are divisible by 10 are: 510, 520, ..., 700. The common difference = 10 $⇒n_1 = \frac{700 - 510}{10} + 1 = 20$ So, there are 20 numbers between 501 and 701 that are divisible by 10. Next, we exclude the number that are also divisible by 3. These numbers are 510, 540, ..., 690. The common difference = 30 $⇒n_2 = \frac{690 - 510}{30} + 1 = 7$ So, the required numbers = $n_1 - n_2$ = 20 – 7 = 13 Hence, the correct answer is 13.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : How many numbers are there between 201 and 401 which are divisible by 5 but not by 4?
Question : How many numbers are there between 1 and 200 which are divisible by 3 but not by 7?
Question : The number 76050 is NOT divisible by which of the following numbers?
Question : What is the sum of all three digits numbers which are divisible by 20?
Question : The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile