CAT Questions

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Here in the given series, it follows a pattern that

77 + 2 = 79

79  - 3 = 76

76 + 5 = 81

81 -  7 = 74

74 + 11 = 85

Consecutive adding and subtracting of prime numbers.

So the wrong number in the given series is 75.

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

4       30       ?     1440       7195      71940

Here the given series follows a pattern of

4

4 x 10 - 10 = 30

30 x 5 - 5  = 145

145 x 10 - 10 = 1440

1440 x 5 - 5 = 7195

7195 x 10 - 10 = 71940

Hence, the missing number is 145

Here the relation between a fossil and extinction is that a fossil remains after an extinction. That is fossils are evidence of an extinction.

Similarly, puddle remains after it is rained. That is puddles are evidence of rain.

Therefore, Fossil is to Extinction as Puddle is to Rain.

Let first no. be "k" and multiple be "l"...start value of y with 3
then,
[(k x y) + {l x (l-1)}]
Thus, we get

15 x 3 + 3 x 2 = 51
51 x 4 + 4 x 3 = 216
216 x 5 + 5 x 4 = 1100
1100 x 6 + 6 x 5 = 6630
6630 x 7 + 7 x 6 = 46452

Therefore, the missing number is 6630.

Let cp= 100,
35 % increase in sp=135
10 % discount in 135((135*10)/100)=13.5
so 1st sp=(135-13.5)=121.5, again 15 % discount in 1st sp((121.5*15)/100)=18.225
2nd sp=(121.5-18.225)=103.275,

so finally cp=100,sp=103.275 ,gain by 3.27%

Here the given words follow a relation in such a way that, grapes are made into wine. Similarly, squid are made into calamari.

Hence, Grapes : Wine :: Squid : Calamari

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