CAT Questions

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The water molecule has a dipole with the negative portion pointing toward the oxygen atom.

We know that, M1 × D1W1 = M2 × D2W2

Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845

1 × 61 = M × 901845 

=> M = 123

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.

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

India has been placed in the second spot in the renewable energy country attractiveness index by EY. The UK accountancy firm noted the fast pace of growth in Indian renewable energy in the past three years. Over 10 gigawatt (Gw) of solar power was added between 2015 and 2017 and wind energy capacity grew to 5.4 Gw in 2017-18. This growth is in the context of the government’s ambitious targets — 175 Gw of renewables by 2022, with 40 per cent installed capacity from renewables by 2030 — and the dramatic price falls in photovoltaic technology.

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.

Given 10 men take 15 days to complete a work

=> Total mandays = 15 x 10 = 150

Let the work be 150 mandays.

=> Now 37 men can do 150 mandays in 150/37 =~ 4 days