Question:
The remainder obtained when a prime number greater than 6 is divided by 6 is:
The remainder obtained when a prime number greater than 6 is divided by 6 is:
Show Hint
Remember: All primes except 2 and 3 are neighbours of multiples of 6.
Updated On: Aug 6, 2025
- 1 or 3
- 1 or 5
- 3 or 5
- 4 or 5
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
All primes>3 are of form $6k\pm1$. So remainder when divided by 6 is 1 or 5.
Was this answer helpful?
0
0
Top Questions on Number System
- Find the next number in the series: 2, 6, 12, 20, .......
- The total number of factors of the square of a prime number is:
- CBSE Compartment X - 2025
- Mathematics
- Number System
- Find the units digit in $7^{295}$.
- Amongst all pairs of positive integers with product as 289, find which of the two numbers add up to the least.
- CBSE CLASS XII - 2025
- Mathematics
- Number System
- When \( 4^{157} \) is multiplied with \( 7^{113} \), what is the digit in the least significant place?
View More Questions
Questions Asked in CAT exam
- \( 10^{68} \) is divided by 13, the remainder is is
- CAT - 2024
- Divisibility and Remainder
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
- Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
- CAT - 2024
- Time, Speed and Distance
- The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
- CAT - 2024
- Profit and Loss
- Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?
- CAT - 2024
- Arithmetic Progression
View More Questions