What will be the value of P + Q - R?
RR
QQ
+PP
____
PQR
____
a. 5
b. 4
C. 3
d. 2
Answers
Given:
P, Q, and R are three numbers satisfying the condition PP + QQ + RR = (P Q R).
To Find:
The value of P + Q – R.
Solution:
The values of P, Q, and R can be found by using the trial and error method.
1. It is given that the sum of PP, QQ, and RR is PQR which is a three-digit number.
= > By trial and error method check the numbers 1, 9, 8 as P, Q, and R.
= > PP, QQ, and RR = 11, 99, 88.
= > PP + QQ + RR = 198. ( where 1 = P, Q = 9, and R = 8)
= > The assumed values are satisfying the given condition. Hence, the values of P,Q, and R is 1, 9, and 8 respectively.
2. Since, we got the values of P,Q, and R, we can calculate the asked expression i.e P + Q – R i.e,
= > P + Q – R = 1 + 9 – 8,
= > P + Q – R = 2.
Therefore, the value of P + Q – R is 2. Option D is the correct answer