Home
Class 12
MATHS
With teams divided to get back the infin...

With teams divided to get back the infinity stones, Captain America and Tony are going after the Tesseract containing the space stone. They have realized that the tesseract is secured in a two-level cage, each level containing 9 sections. The tesseract is somewhere in the two central sections, which is surrounded by security guards in the surrounding 16 sections, 8 on the upper level and 8 on the lower level. While the guards start marching towards the cage, Cap and Tony get hold of three of the guards outside and obtain the following information about the arrangement of the security in the cages :
1. All 16 sections must be occupied.
2. No section can hold more than 3 guards.
3. Each of the four outer sides (total of both levels) must hold 11 guards.
4. The whole upper leve-l must hold twice as many guards as the whole lower level.
Although 3 fewer guards than expected have reached the cage, all the guards were able to house in the cage in conformity with the four conditions.
If the sum of the guards in the 8 corner cells for the present arrangement is N and that of the original arrangement if the 3 guards were also present is M, what is M + N?

Promotional Banner

Similar Questions

Explore conceptually related problems

With teams divided to get back the infinity stones, Captain America and Tony are going after the Tesseract containing the space stone. They have realized that the tesseract is secured in a two-level cage, each level containing 9 sections. The tesseract is somewhere in the two central sections, which is surrounded by security guards in the surrounding 16 sections, 8 on the upper level and 8 on the lower level. While the guards start marching towards the cage, Cap and Tony get hold of three of the guards outside and obtain the following information about the arrangement of the security in the cages : 1. All 16 sections must be occupied. 2. No section can hold more than 3 guards. 3. Each of the four outer sides (total of both levels) must hold 11 guards. 4. The whole upper leve-l must hold twice as many guards as the whole lower level. Although 3 fewer guards than expected have reached the cage, all the guards were able to house in the cage in conformity with the four conditions. Help Cap and Tony to find out how many total guards were marching for the security (including the 3 they captured in the beginning).

Agrabah never sleeps peacefully! A robbery has taken place at Agrabah's palace the previous night and one of the most precious treasures, a rare diamond is missing. Information received from the sources has pointed out that Essos, an allied nation is behind this robbery. Aladdin and Genie left for Essos as soon as they heard the news. On reaching there they find out that the diamond is guarded by a two-level cage, each having 9 sections. The guards placed there have to occupy 16 sections, 8 on the upper level and 8 on the lower. (The two central sections are set aside for storing weapons). There are 4 conditions for placing guards: 1. All 16 sections must be occupied. 2. No section can hold more than 3 guards. 3. Each of the four outer sides (total of both levels) must hold 11 guards. 4. The whole upper level must hold twice as many guards as the whole lower level. Although the cage facility received 3 fewer guards than expected. The facility placed the guards in conformity with these four conditions. The Aladdin asked Genie to bring back the diamond but in order to do so, Genie needs some information. He needs to find out how many guards were expected?

In which species is the central atom not surrounded by exactly 8 valence electrons?

In which of the following species central atom is NOT surrounded by exactly 8 valence electrons ?

In figure the upper wire is made of steel and the lower of copper. The wires have equal cross section. Find the ratio of the longitudinals strains developed in the two wires.