What is the area of the circle P?
I. Diameter of circle Q = 6 cm
II. Radius of the circle Q is twice the radius of circle P
TS ICET 2018 Question Paper Shift-2
The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the Statements are sufficient to answer the questions.
What is the value of xy?
I. $$x^2 = 4$$
II. $$y^2 = 9$$
Is x positive?
I. $$xy = 6$$
II. $$xy^2 = 12$$
What is the value of $$r^2 + s$$?
I. $$t - u = 8$$
II. $$r^2t - su + st - r^2u = 24$$
If p and q are positive real number, is the product of pq > 1?
I. q > 1
II. P < 1
When n and m are real numbers, what is the value of n?
I. 3n - m = 1
II. n + m = 23
What is the value of $$\frac{2p + 3q}{3p + 2q}?$$
I. $$\frac{p}{q} = \frac{2}{5}$$
II. p and q are positive numbers
Is ab = cd?
I. a : b = c : d
II. a, b, c, d are in an arithmetic progression
For the function $$f : R \rightarrow R$$, is $$f\left(-\frac{1}{2}\right) = f\left(\frac{1}{2}\right) = f(2) ?$$
I. $$f(x) = \begin{cases}-x & for & x < 0\\x & for & x \geq 0\end{cases}$$
II. $$f(x) = \begin{cases}-x & for & x < 0\\x & for & 0 \leq x \leq 1\\\frac{1}{x} & for & x > 1\end{cases}$$
What is the surface area of the rectangular solid Y ?
I. The dimensions of one face of Y are 2 and 3.
II. The volume of Y is 12.
Is ab a rational number?
I. a is a rational number.
II. b is an irrational number.
If the perimeter of a rectangular hall is 80 feet, whatis its area?
I. The length of the hall is 25 feet.
II. The length of the hall is greater than its width.
What is the value of the integer $$x \geq 0 ?$$
I. $$16^x$$ is odd
II. $$15^x$$ is odd
Is $$x > y ?$$
I. $$2x + y = 9$$
II. $$\mid x - y \mid = 25$$
In the figure, is $$\overline{AB} = \overline{AC} ?$$
I. x + y = z
II. y = 180 - z
For $$a, b \epsilon R$$, if the number of positive integral divisors of the positive integer 4 ab is 3, then what is the value of b?
I. a = 5
II. a is a prime number.
What is the integer a?
I. $$\frac{1}{7} < \frac{1}{2 + a} \leq \frac{1}{2}$$
II. $$a^2 + 24 = 10a$$
How old is Raghu?
I. Today is his birth day.
II. One year after he will be twice as old as 10 years ago.
What is the value of the integer w?
I. w is a multiple of 3.
II. 420 < w < 425.
What percentage of students in the college receive scholarships?
I. The total number of students in the college is 2000.
II. The percentage of students that receive scholarships in the final year is 5% more than the students that receive scholarships in the first year.
The following question has a sequence of numbers or letters that follow a definite pattern is given. Each question has a blank space. This has to be filled by the correct answer fromthe four given options to complete the sequence without breaking the pattern.
MOUSE : KPSTC :: LIGHT : --------
8 : 64 :: 12 : -------
4 : 18 :: 6 : --------
123 : 169 :: 235 : --------
99 : 120 :: 48 : --------
63 : 49 :: 35 : --------
QPON : MLKJ :: XWVU : -------
House : Door :: Compound : -------?
22 : 2222 :: --------- : 222222
25 : 37 :: 49 : ---------
Pick the odd thing out:
The question follows a definite pattern. observe the same and fill in the blanks with suitable answers.
B, F, J, P, ----
6, 15, 35, 77, ------?
3, 5, 9, 17, -------, 65, ....
$$13\frac{5}{6}, 10\frac{1}{3}, 7\frac{1}{3}, 4\frac{5}{6}, 2\frac{5}{6}, --------$$
1, 2, 5, 12, 27, ------, 121, 248, .....
65, 61, 56, 50, ----------
107, 77, 52, 32, -------, 7, 2
11, 27, 51, 123, -------
99, 98, 94, 85, ---------, 44, 8
3, 3, 4.5, 9, 22.5, --------
The following Bar Diagram shows the marks obtained by 5 students P, Q, R, S, T in Physics (Ph) and Chemistry(Ch) out of possible 140 marks in each subject. Based on the data answer questions:
Marks obtained by S in chemistry is what percent of the total marks obtained by all students in chemistry
If the marks obtained by T in Physics were increased by 14% then what would be his approximate new percentage in Physics when the maximum
marks in Physics were 140?
What is the ratio between the total marks scored by Q and S together in Chemistry to the total marks scored by P and R together in Physics?
The pie chart given below shows the marks obtained by a student in 5 subjects out of total marks 900. Based on this data answer questions:
The marks obtained in Maths are
The total marks obtained in languages are
The percentage of marks obtained in Maths. Physics and Chemistry among the total marksin all the five subjects is
The ratio between the marks in languages and other subjects is
The marks obtained in English are
In a group of 160 people, each person speaks Telugu or English or Tamil. 20 persons speak all the three languages. 100 persons speak at least two
languages of the three. Using this information answer questions
How many persons in the group speak exactly two languages of the three?
What percent of the persons who speak only one of the three languages amongall the persons in the group?
English alphabet is coded as follows:
(i) Each consonant is coded to its next $$3^{rd}$$ consonant cyclically.
i.e., B is coded as F, F to J,..... X to B, Z to D.....
(ii) Vowels A, E, I, O, U are coded to Vowels as A to U, E to O, I to I, O to E, and U to A.
Using this coding pattern, answer the following question.
The word VOWEL is coded as
The word CONSONANT is coded as
Code word for WORD is
The number of letter that left fixed under this coding is?
Code word for ENGLISH is
For the following questions answer them individually
If IMMUNE is coded as JSSTRK then code word for MENU is
AISLE is coded as 0910111213 then code for LESS is
Let $$n^{th}$$ letter for $$14 \leq n \leq 26$$ in the English alphabet be coded as $$(n - 13)^{th}$$ letter and $$n^{th}$$ letter for $$1 \leq n \leq 13$$ be coded as $$(n + 13)^{th}$$ letter. For this coding pattern answer the question.
Code word for GAME is
Code word for ALERT is
Code word for VICTORY is
For the following questions answer them individually
If a month starts with Mondaythen the date on which the Second Saturday falls is?
The angle between the two hands of a clock whenit shows 5.12 hours?
At what time between 10 am and 11 amthe angle betweenhandsofa clock is $$162\frac{1}{2}^\circ$$
If A is the brother of the son of B’s son. howis A related to B?
A loan application was submitted at a bank counter on a certain day of the week. After verification of the details the application was forwarded to the Manageron the next day. The Managerafter scrutiny sent the application the same day to Head Office. The next 2 days were bank holidays and the loan was sanctioned next day which was Monday. Which day of the week was the application submitted?
A local train leaves the station at regular intervals of 45 minutes. Arriving at the station a person realized that the last train left 15 minutes back and next train is at 8.45 am. When did the personarrive at the station?
Six friends A. B. C, D. E and F sit around a circle facing the center such that (i) A is between C and E: (ii) E is between D and F: (iii) B is between C and F and to the left of C. Whois sitting between A and B?
Let the symbols $$\alpha, \beta, \gamma$$ and $$\delta$$ denote the arithmetic operations of addition. subtraction, multiplication and division respectively. Then,
$$100 \alpha 10 \delta 5 \beta 15 \gamma 5$$
For two non-zero numbers m and n define * by:
$$m * n = \frac{1}{mn} + 1$$, then
$$\sum_{k=1}^{2018}\left(\frac{1}{k^2} * k\right) =$$
For integers x and y define * by
$$x * y = (x + y)^2 - (x - y)^2$$ and $$x \triangle y = (x + y)^3 + (x - y)^3$$, then $$(3 * 5) * (1 \triangle 2) =$$
$$(a^m)^n = a^{m^n} \Rightarrow m =$$
$$2^{x^2 - 4} = \frac{1}{16^{(10 - 3x)}} \Rightarrow x =$$
20 men can do a piece of work in 10 days working 6 hours a day. How many men are needed to complete double the work in 8 days working 10 hours a day?
If the ratio of the areas of two squaresis 4:7 then the ratio of the perimeters of the squares is?
$$x = 5 - 2\sqrt{6} \Rightarrow \sqrt{x} - \frac{1}{\sqrt{x}} =$$
For $$k \neq 0$$; if $$a = \sqrt[3]{k} - \frac{1}{\sqrt[3]{k}}$$ then, $$a^3 + 3a =$$
Which of the following numbers is divisible by 11?
What is the number in the units place of $$(359)^{59}?$$
The ged of two numbers is 85 and their sum is 1020. One suchpair of the numbers is
What is smallest number of 5 digits which is divisible by 12, 15, 20 and 35?
$$3.2575757, ....... = \frac{a}{b}$$, gcd (a, b) = 1 \Rightarrow a - b =
If $$\frac{5}{8}th$$ of a number x is subtracted from $$\frac{25x}{32}$$, the result is 320. Then x =
The largest among $$\frac{1}{2}, \frac{11}{23}, \frac{3}{8}, \frac{9}{16}$$ is
If $$a = \sqrt[3]{11}, b = \sqrt[4]{23}$$ and $$c = \sqrt[6]{119}$$ then the decreasing order of a, b, c is
$$4\frac{1}{3}\%$$ of $$5\frac{2}{7}\%$$ of $$x = 962 \Rightarrow x =$$
Anil, Sunil and Akhil are trading of same goods. Anil sells his goods 25% cheaper than Sunil and 25% costlier than Akhil. Then Akhil’s sells goods
cheaper than Sunil by percentage of
If the cost price of 11 mangoesis equal to the selling price of 9 mangoes then percentage of profit is
Mr. A has purchased a property and sold $$\frac{2}{3}$$ of the property with 10%profit. If the profit received through this sale is Rs. 60000. the cost price of the total property (in rupees) is
A. B entered into a business with a capital of Rs. 9 lakh. Rs. 12 lakh respectively. After 4 months C has joimed the business with a capital of Rs. 15 lakh then the share of ‘C’ in a profit of Rs. 6.975 lakh at the end of the year is
A, B and C entered into a business partnership. A got $$\frac{2}{5}$$ of the profit while B and C distributed the remaining profit equally. If C got Rs. 4000 less than A, their total profit was
Two taps A and B can independently fill a tank in 30 minutes and 45 minutes respectively and a pump C can empty full tank in 20 minutes. If all are opened for 10 minutes and the pump C is closed. then the time required to fill the tank (in minutes) is?
Two pipes A and canfill a tank in 24 minutes and 30 minutes respectively. Bothpipes are opened simultaneously but after 5 minutes A is turned off. After how much more time will the tank be filled?
A cyclist travelling at 30 kmphtakes 3 hrs more to cover distance between two cities A and B than another cyclist travelling at 40 kmph. Whatis the distance between A and B?
The distance between two cities is 30 km. If two persons A and B travel in the opposite directions starting fromthe two cities, they meet after 2 hours. If they start from the same city and travel in same direction they meet after 3 hours. If A is faster than B the speed of A is
Of the two workers A works twice as fast as B. If A and B work together they require 12 days to complete a piece of work. How many days are needed if A alone works to complete the same work.
A. B and C can independently complete a work in 10, 15 and 20 days respectively. If they start the work together and A leaves after 2 days and B
leaves after 4 days the numberof days required for the completion of work is
An equilateral triangle is inscribed in a circle of 462 sq.cms. The perimeter(in cms) of the triangle is
The perimeter of rhombus is 68 meters and one of its diagonals is 16 meters. The area of the rhombusis (in sq.ms.)
Three solid metal cubes whose sides are in the ratio 3:4:5 are melted and made into a single cube. If length of the diagonal of this single cube is 48 V3 meters then the side of the smallest of the three cubes is?
A solid cylinder of diameter 24 cm and height 10 cm is melted and cost into spheres of diameter 12 cm each. What will be the number of solid spheres made
The base and height of a triangle are in the ratio 4:3 and its area is 54 sq. cm. What is its height?
Area of the rhombus whose diagonals are 36 cm and 20 cm
What is the cost of fencing around a circularfield of diameter 28 meters at the rate of Rs. 10 per meter?
If $$11011_2 + 11101_2 + 1111_2 + 1001_2 = X_{10}$$ then $$X =$$
If $$k_1, k_2$$ are natural numbers such that
(i) $$2^{k_1} \mid 10!$$ but $$2^{k_1 + 1} \mid 10!$$ and (ii) $$5^{k_2} \mid 10!$$ but $$5^{k_2 + 1} \mid 10!$$ then
The contra positive of the statement:
"If in a $$\triangle ABC, AB = AC$$ then $$\angle B = \angle C"$$ is
Which of the following is equivalent to the statement $$p \vee [\sim (q \wedge \sim r)]$$
If $$I_n = \left\{x \epsilon R: -\frac{1}{n} < x < \frac{1}{n}\right\}$$ for n = 1, 2, 3, ........... then
$$\bigcap_{n=1}^{\infty}I_n =$$
If $$f(x) = \frac{x}{x - 1}$$ then $$\frac{f(a)}{f(a + 1)} =$$
$$f(x) = x^2 - \mid x \mid$$ is
The equation of the straight line having intercepts a and b on the axes such that a + b = 5 and ab = 6 is
The equation of the straight line passing through (4, 2) and parallel to the line x + 2y - 5 = 0
$$\cos 1^\circ, \cos 2^\circ, ............ \cos 179^\circ =$$
$$\sin 420^\circ \cos 390^\circ + \cos (-300^\circ) \sin (330^\circ) =$$
$$\frac{\cos \theta}{1 + \sin \theta} + \frac{1 + \sin \theta}{\cos \theta} =$$
A person walking towards the foot of the mountain observes the angle of elevation of its peak to the $$30^\circ$$ and $$60^\circ$$ respectively. If the distance between two points A, B of observation is $$\sqrt{3}$$ km then the height of the mountain in meters is
$$x + \frac{1}{x} = 5 \Rightarrow x^4 + \frac{1}{x^4} =$$
For two polynomials p(x) and q(x) the highest commonfactor is (x - 2) and the least common multiple is $$x^3 - 9x^2 + 26x - 24$$. If $$P(x) = x^2 - 6x + 8$$ then q(x) =
If the polynomial $$x^3 + 10x^2 + ax + b$$ is exactly divisible by (x - 1) and (x + 2) then a - b =
If a polynomial p(x) leaves remainders 6 and 4 respectively when divided by (x - 2) and (x - 3) then the remainders when p(x) is divided by $$(x^2 - 5x + 6)$$ will be
The sumof a two digit number and the numberobtained by reversing the order of its digits is 121 and the digits differ by 3. The largest of such numbers is
If $$\frac{3}{x + y} + \frac{2}{x - y} = 2$$ and $$\frac{9}{x + y} - \frac{4}{x - y} = 1$$ then x : y =
The $$r^{th}$$ term of an arithmetic progression whose sum of first n terms is $$2n + 3n^2$$ is
If the $$6^{th}$$ and $$13^{th}$$ terms of a geometric progression are 24 and $$\frac{3}{16}$$ respectively, then its $$25^{th}$$ term is
The coefficient of $$x^{n - 1}$$ in the product $$(x + 1)(x + 2)(x + 3).....(x + n)$$ is
If the coefficients of $$x^7$$ and $$x^8$$ are equal in the expansion of $$\left(3 + \frac{x}{2}\right)$$ then n =
If $$\begin{bmatrix}a & b^2 \\c^3 & 0 \end{bmatrix} = \begin{bmatrix}2 & 9 \\-8 & 0 \end{bmatrix}$$ where a, b, c are real numbers of which b < 0 then 3a + b + c =
If A and B ate matrices such that AB = B and BA = A, then $$A^2 + B^2 =$$
$$\lim_{n \rightarrow \infty}\frac{2^n - 5^n}{3^n + 5^n} =$$
$$\lim_{n \rightarrow \infty}\frac{(1 + n)^7 + (2 + n)^7 + .......+ (7 + n)^7}{1000 + n^7} =$$
As given in the diagram, in $$\triangle ABC, \angle B > 90^\circ$$ and AD is perpendicular to BC. Then $$b^2 =$$
If the angles of a quadrilateral are in the ratio 3:4:5:6 then the smallest of these angles is
If a chord of a circle of radius 10cmsubtends an angle $$60^\circ$$ at the center of the circle, then the length of the chord (in centimeters) is
A point (x, y) is equidistant from the points (7, 1) and (3, 5). Then x - y =
The vertices of $$\triangle ABC$$ are A(4, 2), B(6, 5) and C(1, 4). The median through A meets BC at D. Then $$AD^2 =$$
The arithmetic mean of 287, 292, 297, 302, ...... 447 is
If the mean and mode of a data are 58 and 52 respectively. Then the median of the data is
The mode of 124, 142, 86, 136, 126, 124, 98, 114 is
The standard deviation of any five consecutive positive integers is
The standard deviation of n observations $$x_1, x_2, ..... .... ...., x_n$$ is 15. Then the standard deviation of the observations $$5x_1 - 11, 5x_2 - 11, ..........., 5x_n - 11$$ is
Two sports persons P and Q have participated in four competitions and their respective ranks are as give in the table below. The rank correlation coefficient is
A bag contains 3 white, 2 black and 4 red balls. Three balls are drawn in succession Without replacement. The probability that of the three balls drawn one is white, one is black and one is red, is
Two unbiased six faced dice are rolled. The probability of getting a sum which is a prime number is
When 4 un-biased coins are tossed, the probability of getting at least 2 heads is
If a four digit numberis formed at random using the digits 2, 5, 7, 8, 9 then the probability that the sumof the digits in that numberis a multiple of 2 is
Choose the correct meaning of the word given:
Punitive
Morale
Repertoire
Apartheid
Foment
Heckle
Fill in the blank choosing the correct word:
The Prime Minister ----------- the members of his Cabinet to improve the governance of the country.
Meritorious candidates should not be -------- from entering politics due to lack of financial resources.
It is unlawful to --------- upon the copyrights of another person.
The eagle -------- down to catchits prey.
Choose the correct answer:
A piece of code or data created by web server and stored on a user’s computeris called
A type of e-mail fraud in which the perpetrator sends out e-mails that appear to come froma legitimate service or company is known as
A computer memory with very short access time used for storage of recently used data is called
The unwanted software that can track one’s activities on the computer is called
Boolean Algebra finds its application in computer because
‘No smokingin the factory’ is an example of
What is the title of the person who heads Reserve Bank of India?
A short official statement of news is called
The number assigned to every GST registered dealer is called
CPM stands for
A: “He gave themelaborate instructions to carry out their project.”
B: “His advice fell on the deaf ears.”
'B’ means
Change the active formof the following sentence to passive:
“We had baked the bread.”
A: ‘Are you appearing for ICET this year?’
B: ‘I think I will have a goat it.’
'B’ means that he intends to:
A: “Howis your partnership with Ravi going.”
B: “Sorry. wefell out.”
‘B’ implies that
A: “I wish I had worked harder, I would have donebetterat the interview.”
B: “Well you could try again.”
‘B’ implies that ‘A’
A: “CanI try it on?”
B: “Sure. the changing rooms are overthere.”
The conversation taken place in a
A: “Whydid youleave the company?”
B: “Onlythe wearer of shoe knows where it pinches.”
'B’ meansthat
Fill in the blanks with the appropriate phrase / verb / preposition:
He delights -------- doing good.
He prevailed --------- his misfortunes by not losing hope.
They decided to have an informed and brief discussion --------- a cup of coffee.
If teachers showfavouritism, it can ---------- resentment
Many species of birds have become ----------- in the last hundred years.
You should not ----------- when I am talking to the other man.
However will we ---------- without you?
The whole project dropped ----------- because of the lack of finance.
Read the following passage and answer questions
Passage:
What is freedom? Freedom is the right to choose: the right to create for oneself the alternatives of choice. Without the possibility of choice and exercise
of choice, we are not human beings but only inanimate objects. Fortunately. we are nowliving in a world full of choice: even in the selection of ice-creamor
soaps. there is so much choice that we find it difficult to choose and some people feel that we actually suffer from what may be called choice fatigue!
Thanks to the tremendous growth and diversification in all spheres of life, the educational spectrum is crowded with a variety of courses in every conceivable field: most of the courses offered are practical and job-oriented and as a result, there is an array of career options available. Students are becoming smarter and they are learning to take intelligent decisions based on what is right for them. A good wayto choose one’s career path is to match one’s strengths and aptitudes to the opportunities and threats in the job market of tomorrow. There are career guidance cells and centres in most colleges and universities from where one can get detailed information on careeroptions.
Why is the right to choose important?
What is ‘choice fatigue’?
Why is there an ‘array of career options’ available?
How does one choose a ‘good career path’?
Where can one get information on career options?
Read the following passage and answer questions:
Passage:
Private victory precedes public victory. Self-mastery and self-discipline are the foundations of good relationships with others. Some people say that you have to like yourself before you can like others. I think that idea has merit, but if you don’t knowyourself. if you don’t control yourself. if you don’t have
mastery over yourself, it is very hard to like yourself.
Independence is an achievement. Interdependence is a choice only independent people can make. Unless we are willing to achieve real independence, it is foolish to try to develop human relations skills.
The most important ingredient we put into any relationship is not what we say or what we do, but what we are. And if our words and our actions come from superficial human relations rather than from own inner core. others will sense that duplicity. We simply won't be able to create and sustain the foundation necessary for effective interdependence.
So the place to begin building any relationship is inside us, inside our own character. As we become independent — proactive, centred in correct principles
— we then can choose to become interdependent capable of building rich, enduring. highly productive relationships with other people.
What is the most important ingredient we putinto a relationship?
What according to the authoris ‘self independence’?
What is the right place to build a relationship?
When do you like yourself?
“You have to like yourself before you can like others”. is a view the author:
Read the following passage and answer questions:
Passage:
The origin and progress and future promotion of civilization are all ill understood and misconceived. These should be made the chief theme of education. but much hard work is necessary before we can reconstruct ourideas of man and his capacities and free ourselves from innumerable persistent musapprehensions. There have been obstructionists in all times. not merely the lethargic masses, but the moralists. the rationalizing theologians, and mostof the philosophers, all busily if unconsciously engaged in ratifying existing ignorance and mistakes and discouraging creative thought. Naturally. those who reassure us seem worthy of honour and respect. Equally naturally those who puzzle us with disturbing criticisms and invite us to change our ways are objects of suspicion and readily discredited. Our personal discontent does not ordinarily extend to any critical questioning of the general situation in which we find ourselves. In every age prevailing conditions of civilization have appeared quite natural and inevitable to those who grew up in them. Indeed, we are usually quite unaware that a gameis being playedat all.
What hampers the future of civilization?
How were promoters of change treated?
In all ages, there were people who blocked progress as there were
In all times. even philosophers emerged as enemies of
People of every age seemto accept the prevailing conditions
