Question:
A number when divided by 7 leaves a remainder x. When divided by 19 it leaves a remainder 2x. Also, when divided by 39 it leaves a remainder 3x. If x = 3, then what is the least possible value of such number?
A number when divided by 7 leaves a remainder x. When divided by 19 it leaves a remainder 2x. Also, when divided by 39 it leaves a remainder 3x. If x = 3, then what is the least possible value of such number?
Updated On: Jul 26, 2024
- 101
- 211
- 633
- 844
- 1266
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct answer is option (C): 633
Was this answer helpful?
0
0
Top Questions on Number Systems
- Prove that $\sqrt{3}$ is an irrational number.
- CBSE Class X - 2024
- Mathematics
- Number Systems
- Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b.
Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4- digit number is divisible by a? - Prove that $\sqrt{3}$ is an irrational number.
- CBSE Class X - 2024
- Mathematics
- Number Systems
- If abc > 0, such that a,b,c are integers then which of the following must be true?
- A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels.
How many rare jewels does the king have?
View More Questions
Questions Asked in IBSAT exam
- An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?
- IBSAT
- Set Theory
- Given quadratic equation is \(x^2-|x|-30=0 . \)Then which of the following statements is/are incorrect?
- IBSAT
- Quadratic Equation
- P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of `10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns ` 60,000 more than Q, then how much does P earn?
- IBSAT
- Profit sharing ratio
- Sugar worth 15 per kg and 16 per kg is mixed with a third variety of some other cost in the ratio 1 : 1 : 2. If the mixture is of worth 20 per kg, what would be the cost of the third variety of sugar per kg?
- IBSAT
- Mixtures and Allegations
- Gopi constructed a right-angled triangle. By modifying the dimensions of first triangle, he drew another triangle. The modifications are - the largest side is increased by 5 cm, the smallest side is doubled and the third side is increased by 50%. If the triangle formed with these new dimensions has equal angles, then what is the perimeter of the new triangle?
- IBSAT
- Triangles, Circles & Quadrilaterals
View More Questions