Let x be the least number divisible by 1...

Let x be the least number divisible by 13, such that when x is divided by 4,5,6,7,8 and 12, the remainder in each case is 2. The sum of the digits of x is `:`

A

11

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

INSTALLMENT
GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTIONS|29 Videos
MIXTURE
GAGAN PRATAP |Exercise Questions|54 Videos

Similar Questions

Explore conceptually related problems

Let x be the greatest number such that when 12085, 16914 and 13841 are divided by it, the remainder in each case is same. The sum of digits of x is:

Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digits of x is .........

Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0. The sum of digits of x is:

Let x be the least number which when divided by 12, 15, 18, 20 and 27, the remainder in each case is 2, but x is divisible by 23. If x is divided by the sum of its digits then the quotient is:

GAGAN PRATAP -LCM (LEAST COMMON MULTIPLE)-Multiple Choice Questions

Find the least number which when divided by 12, 18, 24 and 30 leaves 4...
Text Solution
|
What is the sum of digit of the least number which when divided by 12,...
Text Solution
|
Let x be the least number divisible by 13, such that when x is divide...
Text Solution
|
Let x be the least 4-digit number which when divided by 2,3,4,5,6 and ...
Text Solution
|
What is the sum of the smallest number of digits, which divides by 15,...
Text Solution
|
When 12,16,18,20 and 25 divide the least number x, the remainder in ea...
Text Solution
|
Let x be the least number which when divided by 15,18,20 and 27, the r...
Text Solution
|
M is the largest 4 digit number which when divided by 4, 5, 6 and ...
Text Solution
|
The least number of 6-digit which when divide by 15, 25, 35, 42 and 70...
Text Solution
|
Which is the largest six digit number, which when divided by 12, 15, 2...
Text Solution
|
What least number should be deducted from 9847 so that it gives remain...
Text Solution
|
Find the sum of digit of a smallest number which when divided by 16, 2...
Text Solution
|
M is the largest three digit number which when divided by 6 and 5 leav...
Text Solution
|
LCM of three natural number 150, 144 and x is 10800. How many value of...
Text Solution
|
If the least common multiple of two numbers, 1728 and K is 5184, then ...
Text Solution
|
Five bells ring together at the intervals of 3,5,8,9 and 10 seconds. A...
Text Solution
|
Three electronic devices make a beep after every 48 sec, 72 sec and 10...
Text Solution
|
Four bells starts ringing together and then ring at an interval of 24 ...
Text Solution
|
A, B, C begin to run in the same sirection from the same point in a ci...
Text Solution
|
From a point on circular track 5 km long A, B and C started runnin...
Text Solution
|