CAT Questions

---

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

After a span of 20 years, a Hindu politician, Darshan Lal, is set to take the role of a cabinet minister in Pakistan.  The new Prime Minister Shahaid Khaqan Abbasi formulated his cabinet and has appointed 65-year old Lal to lead coordination between four Pakistan provinces.

Lal reportedly used to practice as a doctor in Mirpur Mathelo town in Ghotki district of Sindh province.

We know that 1 yard = 3 feet. 

A yardstick which is used for measurement has 3 feet long but it cannot walk.

Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.
So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other.

So totally they met 3 times in opposite direction.

The gold prices in India are determined according to the international market in the following way:

- The price of gold in USD is taken as a base price. Depending on the value of indian rupee as compared to USD (eg- 1 USD= ₹63), the price of gold is converted into rupees.

- The import duties on gold are added to obtain the final price of gold.

• Gold is a global commodity. In the international market, the price of gold is determined by the forces of demand and supply. Higher demand leads to higher price and vice versa. Higher supply leads to lower price and vice versa.

Here it is an idiom that says The cricket match proved to be a big draw means it stands as a huge attraction.