Question
Akhilesh has a collection of toys, and he tries
arranging them in different group sizes. Whenever he groups them in pairs (2s), triplets (3s), sets of four (4s), bundles of five (5s), or groups of six (6s), he always has one toy left over. However, when he arranges them in groups of seven (7s), there are no toys left ungrouped. What is the smallest number of toys Akhilesh could possibly have?Solution
L.C.M of (2, 3, 4, 5, 6) = 60
So according to the first condition total number of toys with Akhil = 60p + 1
Now according to the second condition, total number of toys = 7q
Since number of toys is same hence, 60p + 1 = 7q
When p = 5 then q = 43
Therefore minimum number of toys = 60 X 5 + 1 = 301
Who became the first player to win Player of the Match in two IPL finals?
Which Indian state celebrates the cultural festival of solidarity known as "Mera Hou Chongba," involving various indigenous ethnic groups such as the Me...
What is the striking range of the Rampage missile recently inducted by the Indian Air Force?
- Where was the Fourth India-UK Energy Dialogue held in 2025?
What is the name of India’s first-ever national weapons database launched at the Anti-Terror Conference 2025?
Infosys appointed tennis player Carlos Alcaraz as its Global Brand Ambassador. Which Infosys platform will be leveraged to develop AI-driven match analy...
- What initiative is India and the EU planning to collaborate on regarding outer space security?
Which project aims to reduce waste at Indore Airport by processing 750 kg of daily waste?         Â
The IRDAI amendment mandating adoption of Indian Accounting Standards (Ind AS) for insurers will be effective from:
What is the total outlay of the Karnataka Budget for FY2026–27 presented by CM Siddaramaiah?
Relevant for Exams:
