Bissoy.com
Doctors Medicines MCQs Q&A

Boxes A and B contain unbreakable hearts and breakable hearts in the ratio of 7 ∶ 2 and 3 ∶ 2 respectively. In what ratio should quantities of hearts be taken from A and B and added into Box C so that unbreakable hearts and breakable hearts in box C will be in the ratio of 2 ∶ 1.

Boxes A and B contain unbreakable hearts and breakable hearts in the ratio of 7 ∶ 2 and 3 ∶ 2 respectively. In what ratio should quantities of hearts be taken from A and B and added into Box C so that unbreakable hearts and breakable hearts in box C will be in the ratio of 2 ∶ 1. Correct Answer 3 ∶ 5

Given:

Ratio of unbreakable and breakable hearts in box A = 7 ∶ 2

Ratio of unbreakable and breakable hearts in box B = 3 ∶ 2

Ratio of unbreakable and breakable hearts in box C = 2 ∶ 1

Concept used:

Calculations:

The ratio of unbreakable and breakable heart in box A = 7 ∶ 2

⇒ 7 × 5 ∶ 2 × 5

⇒ 35 ∶ 10

The ratio of unbreakable and breakable heart in box B = 3∶ 2

⇒ 3 × 9 ∶ 2 × 9

⇒ 27 ∶ 18

The ratio of unbreakable and breakable heart in box C = 2 ∶ 1

⇒ 2 × 15 ∶ 1 × 15

⇒ 30 ∶ 15

According to allegation rule (For unbreakable heart)

[ alt="F1 Sachin.T 19-09-20 Savita D2" src="//storage.googleapis.com/tb-img/production/20/09/F1_Sachin.T_19-09-20_Savita_D2.png" style="width: 149px; height: 159px;">

∴ The ratio of quantities of heart taken out from A and B and added into Box C is 3 ∶ 5.

Related Questions

Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?
Five boxes B1, B2, B3, B4 and B5 are placed one above the other in racks. The lowermost rack is numbered as one and just above the lowermost is numbered as two and so on. Each box is coloured with different colour such as L1, L2, L3, L4 and L5 (not necessarily in the same order). Two boxes are placed between L2 coloured box and L5 coloured box. Box B1 is not placed immediately above box B3. Box B4 is placed in the top most rack. L1 coloured box is placed immediate above L5 coloured box. Box B3 is coloured with L4. L5 coloured box is placed above L4 coloured box. Box B2 is coloured with L1. Which of the following boxes are placed immediately above and immediately below B5 box respectively?
Five vegetable boxes containing onion, tomato, garlic, ginger and potato respectively are arranged in a horizontal rack. Tomato and ginger boxes are placed at the extreme ends of the rack. Two boxes are placed between tomato box and potato box. Onion box is placed at the right of the garlic box. Boxes of onion and tomato are not placed adjacent to each other. Which box is placed between the boxes of garlic and potato?
Six boxes, M, N, O, P, Q and R, are kept one above the other but not necessarily in the same order. There is only one box between box N and box R. Box Q is immediately below box N. There are only two boxes between box Q and box M. There is no box above box P. Box R is third from the bottom. Which box is third from the top?
There is a pile of six boxes. The weight of the topmost box i.e., 6th box is one fifth of the second box, the weight of the fourth box is \(33\frac{1}{3}\)% more than the weight of the first box, whose weight is thrice that of fifth box’s weight. Also, weight of second box is 2.5 times the fifth box. The third box whose weight is 720 gm is 60% heavier than the fifth box. What is the average weight of the three lightest boxes?
A man sells chocolates which are in the boxes. Only either full box or half a box of chocolates can be purchased from him. A customer comes and buys half the number of boxes which the seller had plus half box more. A second customer comes and purchases half the remaining number of boxes plus half a box. After this the seller is left with no chocolate boxes. How many chocolate boxes the seller had initially?
Each of the three kids gets at least one color box out of 6 color boxes, at least one tiffin box out of 6 tiffin box and at least one chocolate box out of 6 chocolate boxes so that the total number of the items that each of them gets is the same. No one gets the same number of tiffin boxes, color boxes and chocolate boxes. Then which of the following can be TRUE?
Six boxes - A, B, C, D, E and F are placed around a circular table. Box C is placed fifth to the left box E. Box D is opposite to the box E. Box A is placed between box C and box D. Box B is placed adjacent to box E. Which box is exactly placed between box F and E?
A man ordered several boxes of sweets for Diwali. He gave 25% of the boxes to his friends and 80% of the remaining to his relatives. He takes 12 boxes with him and distributes the remaining boxes to the poor people. If the number of boxes distributed in poor people is 10% of the total boxes order, then how many boxes of sweets did he ordered?
Seven boxes J, K, L, M, N, O, and P are kept in a stack from top to bottom but not necessarily in the same order. Box J is kept at fifth position from bottom of the stack. Three boxes are kept between M and J. Box K is just above J. There are two boxes between N and L which is just above box O. Box N is at one of the positions above box L. which of the following pair denotes boxes kept at the topmost and bottommost position?