The nine alphabets L, M, N, O, P, Q, R, S, and T are assigned to nine integers 1 to 9 not necessarily in the same order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3.
What is the integer assigned to N?
We are given a direct assignment which is our starting point: P = 4.
The difference between P and T is 5 (|P - T| = 5). We can substitute the value of P:
|4 - T| = 5This equation has two possible solutions for T: -1 or 9. Since the integers are assigned from 1 to 9, the only valid option is T = 9.
The difference between N and T is 3 (|N - T| = 3). Now we can substitute the value of T:
|N - 9| = 3This equation has two possible solutions for N: 12 or 6. Since the integers are assigned from 1 to 9, the only valid option is N = 6.
Final Answer: The integer assigned to N is 6.
Reinforce your conceptual grasp with related questions from NIMCET 2014:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →