Question : Let $x$ be the least number which, when divided by 5, 6, 7, and 8, leaves a remainder of 3 in each case, but when divided by 9, leaves no remainder. The sum of the digits of $x$ is:
Option 1: 21
Option 2: 22
Option 3: 18
Option 4: 24
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 18
Solution : Given: The least number which, when divided by 5, 6, 7, and 8, leaves a remainder of 3, and when divided by 9, leaves no remainder. LCM of 5, 6, 7, 8 = (2 × 5 × 3 × 7 × 2 × 2) = 840 It leaves the remainder of 3 in each case ⇒ 840 + 3 = 843 Now, check if it is divisible by 9 ⇒ $\frac{843}{9}$ It is not divisible by 9. So, the next number is 840 × 2 + 3 = 1683 Now, check if it is divisible by 9 ⇒ $\frac{1683}{9}$ = 187 So, the sum of the digits of the number 1683 is (1 + 6 + 8 + 3) = 18 Hence, the correct answer is 18.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Find the least number which when divided by 12, 18, 24, and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.
Question : If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed and the resulting number is divided by the sum of the digits, the quotient is 4 and the remainder is 9. The sum of the digits of the
Question : The largest five-digit number which when divided by 7, 9, and 11, leaves the same remainder as 3 in each case, is:
Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
Question : The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainder 16, 52, 60 and 68, respectively, are:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile