Question
Find the smallest number greater than 300 which leaves a
remainder 1 when divided by 4, 5 and 6.Solution
Let the number be N. N ≡ 1 (mod 4), (mod 5), (mod 6) So (N − 1) is divisible by 4, 5 and 6 LCM(4, 5, 6) = 60 So, N − 1 = 60k N = 60k + 1 Smallest N > 300: 60 × 5 = 300 → 300 + 1 = 301 (not greater than 300? it is greater) So, N = 301 Answer: 301
Determine the mean of the following observations:
24, 26, 22, 25, 20, 21, 24, 25A person 'P' invested a total amount of Rs. 1800 in two SIPs, A and B, maintaining a ratio of 3:2. SIP A provides simple interest at a rate of 10% per a...
The sides of a triangle measure 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
A businessman bought goods for Rs 1050 and sold them on the same day for Rs 1228.5 on credit for 10 months, thus earning a profit of 4%. Find the rate o...
What is the function of the "SUM" function in Microsoft Excel?
Three numbers are in HP. Their sum is 37 and the sum of their reciprocals is 1/4. The numbers are:
A parallelogram has two adjacent angles measuring 110° and 70°. What is the difference of the other two angles?
‘P’ who is 20% more efficient than ‘Q’ can finish a work in 15 days. ‘P’ and ‘Q’ start working together, but ‘Q’ leaves after 6 days...
A certain number of men can complete a work in 50 days. If 10 more men are added, the work can be completed in 40 days. Find the original number of men.
13, 91, 108, 756, ?, 5411
Relevant for Exams:
