CAT 2017 Quantitative Ability

Question : 24 of 34

Marks: +1, -0

p^{q}-q^{r} = (p+q)^{r-q} ;

p > r > q ∈ Prime numbers less than 11, then p + q is equal to

Solution:

p^{q}-q^{r}=(p+q)^{r-q}

11 > p > r > q ∊ Prime numbers

7^{3}-3^{5}=(7+3)^{5-3}

100 = 100

∴

(p + q) = 7 + 3 = 10

5 (5 - 3) = r(r - q)

Go to Question:

Prev Question

Next Question