Question

Hello!

Standing on a platform, Amit told sunita that Aligarh was more than ten kilometres but less than fifteen kilometres from there. Sunita knew that it was more than twelve but less than fourteen kilometres from there. If both of them were correct, which of the following could be the distance of Aligarh from the Platform ?

( 1 ) 11 Km
( 2) 12 Km
( 3) 13 Km
( 4) 14 Km

: Answer briefly with full explanation.

Answer 1

According to Sunita

more than 12 but less than 14

is 13.

According to Amit

More than 10 but less than 15

is 11,12,13,14

we see that only 13 is justifying both statement.

So 13 is the answer.

Answer 2

Answer:

Given,

According to Amit, Aligarh was more than 10km and less than 15 km

According to Sunita, Aligarh was more than 12 km but less than 14 km

to find : Distance of Aligarh from platform

Explanation:

According to Amit,

10km < Aligarh < 15km this implies that 11, 12, 13, 14 km

According to Sunita,

12km < Aligarh < 14 km this implies that 13 km

According to the above equations,

Aligarh = 13 km