Answers Week 8

Logical 15 - Direction Test

Jack runs 10 m south from his flat, turns left and walks 23 m, again turns left and walks 40 m, then turns right and walks 5 m to reach his office. In which direction is the office from his house?

(a) East 

(b) Northeast

(c) Southwest 

(d) North

When we will look from F (Flat) to O (office) in the figure it can be observed that the direction is northeast. Option (b) is correct.

Quants 15 - Ratio and Proportion

The ratio between two numbers is 3 : 4 and their LCM is 180. The first number is:
The numbers would be 3x and 4x and their LCM would be 12x. 

12x = 180

x = 15; 3x = 45 and 4x = 60

This gives us the values as 45 and 60. The first number is 45.


Logical 16 - Direction Sense

Usain runs 100 m south from his house, turns left and runs 250 m, again turns left and runs 400m, then turns right and runs 50 m to reach to the stadium. In which direction is the stadium from his house?
(a) Southwest 
(b) Northeast
(c) East 
(d) North

The stadium is northeast with respect to the house. Option (b) is correct.


Quants 16 - Ratio and Proportion

If 30 men working 7 hours a day can do a piece of work in 18 days, in how many days will 21 men working 8 hours a day do the same work?

The total number of manhours required = 30 × 7 × 18 = 3780

21 × 8 × no. of days Æ 3780/168 = 22.5 days.