Puzzle-16 (NASSCOM- Sample Problems)

Five students A, B, C, D and E were comparing the scores each received on a Math and English test. The following was discovered that A’s English score was 80. A’s Math score equals E’s English score. E’s Math score equals A’s English score. A’s English score is 15 less than E’s English score. D’s Math score is 20 more than his English score and is 20 more than C’s Math score. D’s Math score is 40 more than B’s Engllish score. C’s English score is 10 less than B’s English Score. If B’s English score is 60, what is D’s English score?

(1) 80              (2) 70              (3) 60              (4) 50

Solution follows here:

Solution:

Just put all the sentences in the form of equations:

E_A = 80            M_A = E_E                       M_E = E_A           E_E-E_A = 15       M_D-E_D = 20

M_D-M_C = 20   M_D-E_B = 40     E_B-E_C = 10       E_B = 60            E_D = ?

E_D = M_D-20 = (40+ E_B)-20 = (40+ 60)-20 = 80  

Observe that only 3 equations which are coloured are used to get the answer.

Answer (1)