Directions: Study the following information carefully and answer the questions based on it. Comprehension: Seven boxes are kept one above another to make up a stack. The topmost box is numbered as 1, while the bottommost box is numbered as 7. Each box contains different fruits, including Apples, Oranges, Cherries, Bananas, Melons, Kiwis, and Mangoes. Each box contains a different number of fruit: 10, 20, 30, 40, 50, 60, and 70. There are 20 Oranges. The box of Bananas is two boxes above the box of Melon. There are 70 Melons. There are 20 and 60 fruits in the topmost and bottommost boxes respectively. The box of Apples is just above the box of bananas. The box of Kiwi is just above the box of Mango. There are 30 Cherries in the box. The box containing 50 fruits is just above the box containing 10 fruits. There are ____ Apples.
50
Box 1 (top) has 20 fruits and box 7 (bottom) has 60. Oranges number 20, so box 1 holds Oranges.
Apples are just above Bananas, and Bananas are two boxes above Melon. So if Apples are in box k, Bananas are in box k + 1 and Melon in box k + 3. Since box 1 is Oranges, k ≥ 2; and Melon (70 fruits) cannot be box 7 (60 fruits), so k + 3 ≤ 6.
Case k = 3: Apples 3, Bananas 4, Melon 6. Boxes left are 2, 5 and 7, and no two of them are consecutive, so Kiwi cannot be just above Mango. This case fails.
Case k = 2: Apples 2, Bananas 3, Melon 5. Boxes left are 4, 6 and 7. Kiwi just above Mango gives Kiwi 6 and Mango 7, so Cherries are in box 4 with 30 fruits.
Counts used: box 1 = 20, box 4 = 30, box 5 = 70, box 7 = 60. Remaining counts 10, 40, 50 go to boxes 2, 3 and 6.
The box with 50 is just above the box with 10; among boxes 2, 3 and 6 only boxes 2 and 3 are consecutive, so box 2 has 50 and box 3 has 10, leaving 40 for box 6.
Box 2 holds Apples with 50 fruits.
Hence, there are 50 Apples.
Important Questions from Box Puzzle
Five boys A, B, C, D and E eat five different types of food F1, F2, F3, F4 and F5 (not necessarily in the same order). Each also likes a bird named B1, B2, B3, B4 and B5 (not necessarily in the same order). B eats F2. A does not like B3. E eats F1 but does not like B1 or B2. C does not eat F4 but likes B5. The one who eats F3 likes B3. B does not like B2. Which of the following statements are correct?
I. A likes B2.
II. C eats F5.
III. E likes B4.
Branches of five banks A,B,C,D and E are as follows:
1. A, B and C are in Indore and Bhopal.
2. A, B and E are in Indore and Gwalior
3. B, C and D are in Raipur and Bhopal.
4. A, E and D are in Gwalior and Jabalpur
5. C,E and D are in Raipur and Jabalpur
Branch of which bank is in all places except Gwalior?
Which box is the first from the left?
A. Red
B. White
C. Blue
D. GreenWhich of the following statements is true?
A. The black box is second from the left.
B. The white box is second from the left.
C. The green box is third from the left.
D. The white box is third from the right.
Which box is in the middle of the row?
A. Black
B. Blue
C. Green
D. Red
