Question
'N' is the largest three-digit number which leaves 5 as a
remainder when divided by 6, 9, and 15. What is the smallest number that needs to be added to 'N' to make it a perfect square?Solution
ATQ,
LCM (6, 9, 15) = 90
90 × 10 = 900
N = 900 + 5 = 905
Next perfect square = 31² = 961
Required number = 961 - 905 = 56
How many numbers between 100 and 500 are divisible by both 4 and 6?
Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
Find the remainder obtained by dividing 961125 by 37.
A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for (p + q) is
Find the smallest 4-digit number which when divided by 10, 15, 20, 25, 30 leaves remainder 9.
What is the smallest perfect square that is divisible by each of 42, 48 and 60?
which of the following pairs of non-zeroes values of p and q make the 6-digit number 674pq0 divisible by both 3 and 11?
What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?
Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?
A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:
Relevant for Exams:
