CAT Questions

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Merdeka cup is associated with Football in Indonesia.

The United Nations has marked the first World Tuna Day (WTD) on May 2, 2017 to conserve one of the globe’s most popular fish to be caught and eaten and to highlight the vital socio-economic importance of tuna to people around the world. Tuna plays a critical role in sustainable development, food security, economic opportunity, and livelihoods of people around the world. At present more than 80 States have tuna fisheries, thousands of tuna fishing vessels operate in all the oceans and tuna fishery capacity is still growing in the Indian and Pacific Oceans. The Day was designated in December 2016 resolution of the UN General Assembly.

Speeds of two trains = 30 kmph and 58 kmph

=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s

Given a man takes time to cross length of faster train = 18 sec

Now, required Length of faster train = speed x time = 70/9  x  18 = 140 mts.

Milk is an emulsion of oil in water (o/w).

Emulsion: A suspension of droplets of one liquid in another.

Constituents of milk :

The principal constituents of milk are water, fat, proteins, lactose (milk sugar) and minerals (salts). Milk also contains trace amounts of other substances such as pigments, enzymes, vitamins, phospholipids (substances with fatlike properties), and gases.

Given total 16 Red roses and 14 White roses = 30 roses

Four flowers have to be selected from 30 i.e,  C430= 27405 Ways 

Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses)  = 27404 ways. 

Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10

First all possible case => 9(0 excluded) x 10 x 10 = 900

Second no repetition allowed =>9 x 9 x 8 = 648

Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)

Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

Palm tree.