Question 1
Choose the most appropriate phrase from the options given below to complete the following sentence.
India is a post-colonial country because
it was a former British colony
Indian Information Technology professionals have colonized the world
India does not follow any colonial practices
India has helped other countries gain freedom

Question 1-Explanation: 
A country is called postcolonial if it came into existence after the colonies of the British and the Europeans were abolished and the countries then under their rule were declared independent. India was under the British colonial rule till 1947, i.e. it was a former British colony and thus is called a postcolonial country. So, A is the correct option.
Question 2
Who ___________ was coming to see us this evening?
you said
did you say
did you say that
had you

Question 2-Explanation: 
Only (B) makes sense, others don't fit.
Question 3
Match the columns.
   Column 1          Column 2
1) eradicate       P) misrepresent
2) distort         Q) soak completely
3) saturate        R) use
4) utilize         S) destroy utterly 
1:S, 2:P, 3:Q, 4:R
1:P, 2:Q, 3:R, 4:S
1:Q, 2:R, 3:S, 4:P
1:S, 2:P, 3:R, 4:Q

Question 3-Explanation: 
"eradicate" means "destroy utterly" "distort" matches with "misrepresent" "saturate" matches with "soak completely" "utilize" matches with "use"
Question 4
What is the average of all multiples of 10 from 2 to 198?

Question 4-Explanation: 
From 2 to 198 there are 19 multiples of 10.

These are 10,20,30.....180,190.

This is an A.P series, whose sum is (n/2{a1 + aN}), 
where a1 and aN are the 1st and last terms respectively.

Putting in the formula,

a1 = 10, aN = 190.

Sum = Sn = (19/2{10 + 190 }) = 1900

Average = Sum / Total number = 1900 / 19 = 100. 
Question 5

Question 5-Explanation: 
let x = the given expression.
Now squaring both sides.

(x)^2 = 12 + x
(x)^2 - x - 12 = 0

Now solve this quadratic equation for finding the 
roots(value of x, or this expression).
(x-4)(x+3) = 0

hence x = 4.
Question 6
The old city of Koenigsberg, which had a German majority population before World War 2, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the Baltic Sea on the north and the countries of Poland to the south and west and Lithuania to the east respectively. Which of the statements below can be inferred from this passage?
Kaliningrad was historically Russian in its ethnic make up
Kaliningrad is a part of Russia despite it not being contiguous with the rest of Russia
Koenigsberg was renamed Kaliningrad, as that was its original Russian name
Poland and Lithuania are on the route from Kaliningrad to the rest of Russia

Question 6-Explanation: 
Explanation: A is not true in the light of the given facts
  • A is incorrect because First line says that Kaliningrad (Koenigsberg before war) had a majority of the German population before the war. So, it was historically German and not Russian.
  • B is correct as although Kaliningrad is not contiguous with the rest of Russia (being surrounded by countries of Poland in the south and west, Lithuania in the east and Baltic sea on the north), it has a predominantly Russian population.
  • C cannot be inferred from the passage as it is nowhere in the passage what the original Russian name of Koenigsberg was.
  • D is also not true because no data about the route is mentioned in the passage.
So, B is the correct option
Question 7
The number of people diagnosed with dengue fever (contracted from the bite of a mosquito) in north India is twice the number diagnosed last year. Municipal authorities have concluded that measures to control the mosquito population have failed in this region. Which one of the following statements, if true, does not contradict this conclusion?
A high proportion of the affected population has returned from neighbouring countries where dengue is prevalent
More cases of dengue are now reported because of an increase in the Municipal Office’s administrative efficiency
Many more cases of dengue are being diagnosed this year since the introduction of a new and effective diagnostic test
The number of people with malarial fever (also contracted from mosquito bites) has increased this year

Question 7-Explanation: 
  • A contradicts the conclusion of the municipal authorities. So, A is not the correct choice.
  • B is an incorrect choice because there is no data in the passage relating the reporting of cases and the efficiency of the administrative capabilities of the municipal authorities.
  • C is also incorrect as it contradicts the conclusion of the municipal authorities.
  • D is the correct choice as both malarial fever and dengue fever are caused by mosquito bite. If dengue fever had increased because of some other reason other than that concluded by the municipal authorities, then there would not have been increase in the people with malarial fever. This statement supports the conclusion of the municipal authorities.
Question 8
If x is real and |x2 - 2x + 3| = 11, then possible values of |- x3 + x2 - x| include
2, 4
2, 14
4, 52
14, 52

Question 8-Explanation: 
Here we use the modulus property, which says:

|x| = x when x >= 0

|x| = -x when x < 0

i.e. range of a modulus function is always positive.

Now, given that |x^2 – 2x + 3| = 11, we can say that

x^2 – 2x + 3 = +11 ----------------(1)


x2 – 2x + 3 = -11------------------(2)

Solving 1st equation, we get real roots as 4 and -2.

Solving 2nd eq, we get imaginary roots, hence we ignore them.

Now, for eq |- x^3 + x^2 – x|, we put 4 and -2 in place of x.

putting x = 4, we get |-4^3 + 4^2-4| = |-64+16-4| =  52

putting x = -2 we get |-(-2)^3 + (-2)^2 - (-2)| = 14

so |- x^3 + x^2 – x| has possible values as 52 and 14 
Question 9
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in 2009, by what percent did the number of male students increase in 2009? GATECS2014Q92

Question 9-Explanation: 
Let x represent the males and y represent the females.

In 2008.
x / y = 2.5 -----------(1)

In 2009.
M / 2y = 3-------------(2)

where M is the total number of males in 2009.

Now x = 2.5y (from (1))
and M = 6y ( from (2))

hence increased number of males in 2009 are 
M - x = 6y - 2.5y = 3.5y

Now the increase in % of males =

(change in no of males / initial number)*100

= (3.5y / x )*100 = (3.5 / 2.5)*100 = 140 
                                 (given x/y = 2.5)

Hence, B is the right option.
Question 10

At what time between 6 a.m. and 7 a.m. will the minute hand and hour hand of a clock make an angle closest to 60o


6:22 am


6:27 am


6:38 am


6:45 am

Question 10-Explanation: 
Speed of the Hour hand = ( 360 degree ) / ( 12 * 60 minutes ) 
                       = 0.5 degree / minute.
Speed of the minute hand = ( 360 degree ) / ( 60 minutes ) 
                         = 6 degree / minute.

At 6 am, hour hand will point vertically downward to 6 in the clock, and minute hand will point vertically upward to 12 in the clock. ( Hence they are opposite with a gap of 180 degree between them). Now after t minutes, The angle between these two hands will be either of the below two:

(180 - 6t) + 0.5t, when the minute hand is 
                   behind the hour hand or,

6t - (180 + 0.5t), when the minute hand is 
                    ahead of hour hand,

Now the the question asks for angle of 60 degree.

(180 - 6t) + 0.5t = 60 , we get t = 21.8 minutes
6t - ( 180 + 0.5t ) = 60, we get t = 48 minutes

Hence the closest to answer is 22 minutes, i.e. 6.22 am. Hence answer is A.

There are 64 questions to complete.

  • Last Updated : 11 Oct, 2021

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