GATE Questions

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1. Answer : 2

Explanation : Productivity = Total production/area of Agr.land 

Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000  

Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000  

Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 

Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000  

Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000  

Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 

The Productivity of Haryana is the maximum.  

2. Answer : 5  

Explanation : Production of Punjab is maximum = 105000 tonnes 

3. Answer : 3 

Explanation : Production of Wheat in Punjab = 40000 tones

Production of Maize in Odisha = 10000 tones

Required % = (40000 - 10000)/100 = 300% 

4. Answer : 4 

Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1  

5. Answer : 1  

Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore

Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore 

Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.

Modern is used to refer to something new whereas antiquated is used with respect to something old.

In other words, both terms are the opposite of each other.

From the above analysis, the missing word should be a word that represents the opposite of weak. Strong is used to with great influence. Therefore, the apt word is strong or any synonym of strong like potent, powerful, keen,...

Hence, Modern : Antiquated :: Weak : Strong.

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

Here Thread and String are Synonyms of each other. Then the answer will be the synonym of Cask. 

• Cask is nothing but a large barrel-like container used for storing liquids, typically alcoholic drinks. 

Ex : Drum, Vessel, Tank, Barrel, Hogshead, Firkin,...

• Here from the options Barrel is the only synonym of Cask.

Thus,  Thread : String :: Cask : Barrel

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

Lets say shyam sells at 100,

Since Ram sells 25% cheaper than Shyam,

Therefor Ram sells at less than 25% of100 or 75 rs.

Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or

125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.

now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.

Hence Brams Good is 40% cheaper than that of Shyam's good.

Given number of boxes = 14

Number of workers = 4

Now, number of whole boxes per worker = 14/4 = 3.5 

Hence, number of whole boxes per each coworker = 3