CAT Questions

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Here Oil is the most viscous liquid.

The liquid with the most intermolecular force is high viscous. viscosity is how smoothly a liquid flows and how hardly the liquid flows it is highly viscous.

As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.

Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.

Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000

Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

Monaco, the world's second smallest country after Vatican City, has the smallest written constitution in the world. 

It comprises of 10 chapters with 97 Articles and a total of 3,814 words.

India has the world's largest written constitution.

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105

Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35

Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21

9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie.,

(1+1) x (1+1) x (1+1)= 8 ;

we get eight factors.

Barometer is instrument which is used to measure to pressure. A slow downfall of reading suggests a low pressure area is passing in a nearby region, it may rains. If the reading is going down very fast then its an indication of storm (within 5-6 hours).

1. ANSWER : D 

Explanation - The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively. 

Let the exports in the year 1999 = Rs. x crores.  

Then, the exports in the year 1998 = Rs. (500 - x) crores. 

 250500-x = 1.25 => x = 300 crores      [ Using ratio for 1998 ]  

Thus, the exports in the year 1999 = Rs. 300 crores. 

Let the imports in the year 1999 = Rs. y crores.  

Then, Imports in the year 1999 = y300=1.4 => y = 420= Rs. 420 crores.

2. ANSWER : C

Explanation - The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.

Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997. 

3. ANSWER : D 

Explanation - The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. 

Hence, the data is inadequate to answer this question. 

4. ANSWER : B 

Explanation -  Ratio of imports to exports in the year 1996 = 0.85. 

Let the exports in 1996 = Rs. x crores. 

Then , 272x = 0.85 => x = 320  

Exports in 1996 = Rs. 320 crores.  

5. ANSWER : D  

Explanation - The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000. 

Thus, there are four such years.

Let the speed of river and boat be 'r' m/min and 'b' m/min.
so relative speed in upstream (b-r)m/min and in downstream (b+r)m/min.
Now in upstream distnce covered in 5 min is 5(b-r)miles
so total distnce covered => 1 + 5(b-r)miles in upstream
In downstream distance covered in 5min is 5(b+r)miles
Now 1 + 5(b-r) = 5(b+r)
1+5b-5r = 5b+5r
1 = 10r
r = 1/10 mile/min => 6 mile/hr.