CAT Questions

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The term gram formula mass is synonymous with molecular mass. So, to get this, we must add molar mass of all the elements in this compound.

Given compound is Lithium Sulphate - Li2SO4

Elemental calculation ::

Li  -  Lithium   -   6.941    -     2   -   13.88200 %
S  -  Sulfur     -    32.065   -    1   -   32.065 %
O  -  Oxygen   -   15.9994  -    4   -   63.9976 %

Now, total = 12.6264 + 29.1647 + 58.2090 = 109.9446 

Hence, the gram formula mass of Li2SO4 = 109.9446.

Here the P is the wife of Q who is brother of T who is daughter of U.

That implies P is wife of U's son Q => U is father-in-law of P.

  Six

Non collision can happen only when all the cars move in same direction.

That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.
P(all cars not colliding)

= P(all cars moving in the same direction)

= P(all cars moving in clockwise direction)  +  P(all cars moving in anticlockwise direction)

= [p(A --> C) x p(C --> B) x p(B --> A)]  +  [p(A --> B) x p(B --> C) x p(C --> A)]

= [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2]

= 1/8 + 1/8

= 1/4

The given letter equation implies that, 

7 C in the R = 7 Colours in a Rainbow.

Here given soldier shots 7 shots in 12 min

=> 1 shot doen't take any time in 12 min 

=> Only 6 shots take 12 min 

12 min ------ 6 shots 

90 min ------ ? shots 

=> 90 x (6/12) = 45 

Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.

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.

Manager's monthly salary

= Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500