Option 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. According to the passage, Kaliningrad is a part of Russia despite it not being contiguous with the rest of Russia. Thus option B is the correct answer.
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.
Option 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 not correct 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.
If x is real and |x2 – 2x + 3| = 11, then possible values of |- x3 + x2 - x| include
By using modulus property, Now, given that |x^2 – 2x + 3| = 11, we can say that x2 – 2x + 3 = +11 ----------------(1) and x2 – 2x + 3 = -11------------------(2) Solving 1st equation, we get real roots as 4 and -2. Solving 2nd equation, we get imaginary roots, hence we ignore them. Now, for equation |- 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
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 with respect to previous year, by what percent did the number of male students increase in 2009?
Let us assume, x represents the males and y represents the females. In the year 2008, x / y = 2.5 ----------- (1) In the year 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 is, 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
Angle by minute hand is 60 min → 360 ° 1 min → 360/60 = 6 ° 8 min → 48 ° Angle → 48 ° with number ‘6’ i.e Angle by hour hand is, 60 min = 30 ° 22 min → ((30/60)*22) = 11 Total Angle = 48 + 11 = 59 ° So at 6: 22 a. m, the minute hand and hour hand of a clock make an angle closest to 60 °.
The table below has question-wise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination.
What is the average of the marks obtained by the class in the examination?
Total question
44×2=88
44×3=132
144 = 88
132 308
Total marks obtained= (21×2) + (15×3) + (23×2) =133
Total Number of students = 44
Average =
Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64
12+ 1, 22+1, 32+1, 42+1, 52+1, 62+1, 72+1, 82+1
ü 2, 5, 10, 17, 26, 37, 50, 65
ü 64 is not in the series, it should be 65.
Coherent means reasonable, sensible while rambling has just the opposite
meaning i.e. creep.
While trying to collect (I) an envelope from under the table(II), Mr. X fell down and(III), was losing consciousness. (IV)
Which one of the above underlined parts of the sentence is NOT appropriate?
IV part which is – was losing consciousness is not appropriate.
It should be lost consciousness.