If E = 10; J = 20; O = 30; and T = 40, what will be P + E + S + T?
120
The problem presents a pattern where certain letters are assigned numerical values. We need to identify this pattern and then apply it to find the sum of the values of P, E, S, and T.
Letter Value Pattern
Let's carefully examine the given information to uncover the underlying rule:
- E = 10
- J = 20
- O = 30
- T = 40
We can observe that these letters (E, J, O, T) correspond to specific positions in the English alphabet:
- E is the 5th letter.
- J is the 10th letter.
- O is the 15th letter.
- T is the 20th letter.
Comparing the alphabetical position with the assigned value, we can see a clear relationship:
- For E: Alphabetical position is 5. Given value is 10. (5 × 2 = 10)
- For J: Alphabetical position is 10. Given value is 20. (10 × 2 = 20)
- For O: Alphabetical position is 15. Given value is 30. (15 × 2 = 30)
- For T: Alphabetical position is 20. Given value is 40. (20 × 2 = 40)
Therefore, the pattern is: Value = Alphabetical Position × 2.
Calculating Letter Values
Now, let's use this identified pattern to find the values of P, E, S, and T.
| Letter | Alphabetical Position | Calculated Value (Position × 2) |
|---|---|---|
| P | 16 | 16 × 2 = 32 |
| E | 5 | 5 × 2 = 10 |
| S | 19 | 19 × 2 = 38 |
| T | 20 | 20 × 2 = 40 |
Summing the Values (P + E + S + T)
Finally, we need to calculate the sum of these determined values:
\( P + E + S + T = 32 + 10 + 38 + 40 \)
Let's add them step-by-step:
- 32 + 10 = 42
- 42 + 38 = 80
- 80 + 40 = 120
The total sum is 120.
Final Answer
Based on the alphabetical pattern where each letter's value is twice its position in the alphabet, the sum P + E + S + T is 120.
Important Questions from Numerical Reasoning
A traveller to the town reaches a crossroad. Upon asking residents A, B and C for directions to a certain destination, he gets the following responses
A: turn left
B: do not turn left
C: go straight
If only one among A, B and C is truthful, the traveller
In a city, each person has at least one hair on his/her head. At least two persons in this city are guaranteed to have exactly the same number of hair on their heads if the population of the city
a, b, c are real numbers. The quadratic equation ax2 – bx + c = 0 has equal roots, which is β, then
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?
If x>y>1, which of the following must be true?
(i) In x > In y
(ii) ex > ey
(iii) y2 > x2
(iv) cos x > cos y
