Advertisements
Advertisements
प्रश्न
Show that 107 is of the form 4q +3 for any integer q
उत्तर
107 = 4 × 26 + 3.
This is of the form a = bq + r.
Hence it is proved.
APPEARS IN
संबंधित प्रश्न
Show that every positive integer is of the form 2q and that every positive odd integer is of the from 2q + 1, where q is some integer.
During a sale, colour pencils were being sold in packs of 24 each and crayons in packs of 32 each. If you want full packs of both and the same number of pencils and crayons, how many of each would you need to buy?
An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beeped together at 10 a.m. At what time will they beep together at the earliest?
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `129/(2^2× 5^7 × 7^5)`
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `9/35`
If a and b are two prime numbers then find the HCF(a, b)
The HCF to two numbers is 16 and their product is 3072. Find their LCM.
Show that the following numbers are irrational.
If two positive integers m and n are expressible in the form m = pq3 and n = p3q2, where p, q are prime numbers, then HCF (m, n) =
When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13
