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Directions: Study the following information carefully and answer the questions that follow:
There are 15 boxes numbered from 2 to 16 arranged one above another in ascending order from top to bottom. The letters of the word "MATE" are written in the same order as given in word against the boxes which are multiple of 3, starting from 3. Further arrangement of letters P, Q, R, S, U, V and symbols @, #, $, % is as given below.
V is written below R but not below box numbered 12. There is a gap of 2 boxes between the letter the U and symbol %. Symbols P and Q are written in alphabetical order against the multiples of 7 starting from 7. Symbols # and @ are written immediate to each other. Vowels are written immediate to the third letter of the word. There is a gap of 4 boxes between the symbols # and $. S is written against the bottommost box.
If a and b are box numbers of the letters M and P respectively, then find the value of (a + b)2
99
101
10
100
52
- The boxes are numbered from 2 to 16.
- The letters of "MATE" go to boxes multiple of 3: M (3), A (6), T (9), E (12).
- The vowels of "MATE" (A, E) are placed immediately near to the third letter, T (9), so A (6) and E (12).
- V is below R but not at box 12.
- There is a 2 box gap between U and %.
- The symbols P and Q are ordered alphabetically on multiples of 7: boxes 7 and 14 contain P and Q.
- Symbols # and @ are adjacent.
- There is a 4 box gap between # and $.
- S is on the bottommost box (16).
After arranging, M is in box 3 and P is in box 7.
- \( a = 3 \) and \( b = 7 \).
- \( (a + b)^2 = (3 + 7)^2 = 10^2 = 100 \).
- Correct Option: 4, 100
By: Parvesh Mehta ProfileResourcesReport error
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