What is the perimeter of $$\triangle$$ ABC?
I) $$\triangle$$ ABC is an equilateral triangle
II) Area of $$\triangle$$ ABC is $$4\sqrt{3}$$ sq.cms
AP ICET 2020 Question Paper Shift-2 (11th Sep)
In the following questions, a 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 digit in the unit's place of a six digit positive integer?
I) n leaves the remainder 7 when divided by 10
II) n is divisible by 7
Who is the tallest among A, B, C and D?
I) A is taller than B but shorter than C
II) D is taller than B but shorter than A
If A and B are two non empty sets what are the elements in B?
I) $$A \cap B = \left\{1, 2, 3, 4, 5, 6, 7 \right\}$$
II) $$A - B = \left\{8, 9, 10, 11, 12, 13 \right\}$$
What is the present age of the son?
I) The sum of the present ages of the father and the son is 45
II) Five years ago the father's age was 6 times the age of the son
What is the average weight of the four students A, B, C and D?
I) Average weight of A, Band C is 64 kg
II) Average weight of B, C and D is 66 kg.
When was Amar born?
I) Amar is older than Ram who was born on August 20, 1996.
II) Amar will be 45 years old in $$15^{th}$$ August, 2020.
What is the speed of that train?
I) The train is 40 meters long.
II) The train takes 40 minutes to travel between 2 stations A and B.
What is $$\angle A + \angle B + \angle C + \angle D$$ in the following figure?
I) $$x + y = 90^{\circ}$$
II) $$\angle A + \angle B = \angle C + \angle D$$
How many days are needed for A to complete a piece of work?
I) A and B require 20 days to complete the work
II) A takes 20 days more than B to complete the work
If $$115 < m < 125$$, then what is the positive integer m?
I) m leaves remainder 2 when divided by 4
II) m + 3 is a multiple of 11
What are the sides of right angled triangle?
I) The perimeter of the triangle is 60 cm
II) The difference between the height and the base is 14 cm
Is $$x + y$$ a positive integer?
I) $$x+3$$ is equal to the larger root of $$x^{2} - 16 = 0$$
II) $$y+3$$ is the real root of $$x^{3} + 27 = 0$$
Is the angle A of the triangle ABC acute?
I) ABC is a right angled triangle
II) $$\angle B = 90^{\circ}$$
What is the average of 5 real numbers a, b, c, d, e?
I) a + e = 20
II) a, b, c, d, e are in A.P
What is the share of A in the profit in a business at the end of the year when there are three partners A, B and C in the business?
I) The total profit in the business at the end of the year is Rs. 10,000
II) A's capital in the business is twice that of B.
If A is a set with 15 elements and P is a subset of A, then what is the number of subsets of A which are disjoint with P.
I) P has less than 7 elements
II) The largest subset of A which is disjoint from P has 10 elements
What is the number of common tangents to the two circles?
I) The number of points common to the two circles is 0.
II) The radii of the two circles are in the ratio 3 : 4
Is the function fan odd function?
I) $$f(- 2) = f(2)$$
II) $$f(- 3)= -f(3)$$
Is the positive integer n a prime"
I) $$n^{3}$$ has at least four divisors
II) $$n^{2}$$ has exactly three divisors
Note: In each of the Following 10 questions 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 from the four given options to complete the sequence without breaking the pattern.
Sunday : Monday :: ____ : August
Country : ___ ::Human Body: White Blood cells
49 :13 ::81: _________
11:156:: 13:_________
_________ :Temperature:: Barometer : Pressure
BET : YIG :: JIW : ___________
MARKET: JISLEQ :: PENCIL: _________
LEARN: 56 :: PURSE: ___________
PET : 64 :: RIN : __________
BRING :HPESC :: _____:QNOVT
In the following questions pick the odd think out.
Note: The following questions follow a definite pattern Observe the same and fill in the blanks with suitable answers.
7, 13 ,31, 57, 133, _________
2, 7, 17, 32, 52, 77, 107, ___________
16, 36 , 100, 144 , _______
$$\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, 1\frac{1}{6}, 1\frac{1}{2}$$, _______
10, 30, 150, 1050, _______ , 150150
5, 12, 24, 36, 52, ___________
$$16\frac{2}{3}, 18\frac{3}{4}, 21\frac{3}{7}$$, 25, 30 , _________
5, 10, 26, 50, 122, ____________
18, 100, 294, 648, 1210, ___________
$$0010, 0011, 0101, 0111, 1011$$, _________
Note:
The exports of 7 companies (in crores of rupees) in an year are indicated in the following bar diagram in an alphabetical order. Based on this data answer the questions
What is the average export (in crores of rupees) of all the companies put together in the year under review
What is the (approximate) percentage increase in the exports of G over that of F in the year under review? ( corrected to one decimal place)
Taken in the alphabetical order, which company has the maximum percentage increase over its predecessor company in the year under review?
Note
The following bar diagram shows the income from the exports of cars in crores of rupees for the years 2013-2019. Study the bar diagram carefully and answer the questions.
Which of the following pair of years has an average income of exactly 7 crores rupees?
The number of years in which the income is more than the average yearly income in the given period is
In which year the income from the exports is very nearer to the average of its preceeding and succeeding years.
The percentage increase in the income from exports in the year 2017 over its previous year corrected to two decimal places is
The percentage growth in the income from exports in year 2019 over the year 2013, corrected to two decimal places is
Each of the circle in the following Venn diagram represents people in a city speaking 3 languages Telugu (T) , English (E) and Hindi (H). Based on this data answer questions.
What is the number in the Venn diagram that represent the people who speak all the three languages
What is the number in the Venn diagram that represents the people who speak telugu and English but not Hindi?
Note
For the English Alphabets A,B,C .. .. Z a code is designed by the following rules:
(i) The vowels A, E, I, O, U are rotated cyclically as $$A \rightarrow E \rightarrow I \rightarrow O \rightarrow U \rightarrow A$$;
(ii) Each consonant is replaced by the consonant that comes immediately before it as $$B \rightarrow Z, C \rightarrow B, D \rightarrow C, F \rightarrow D$$, ......
(iii) Based on this code answer the questions
What is the code for BUSINESS?
What is the word coded as BULNASIQ?
What word is coded as 'DOMEMBI'?
What is the code for 'INFOSYS'?
What is the code for 'MOBILE'?
For the following questions answer them individually
In a certain code 'WATCH' is coded as 'VBSDG', then in the same code the code for 'BRING' is?
If the word 'MIST' is coded as 75 and 'NODE' is coded as 54, then in the same code language 'PARK' is coded as
If the word 'PENCIL' is coded as 'RHRHOS' , then in the same code language code for the word 'RATING' is
If 'CLASS ' is coded as 'DMBTT', then code for the word 'FREEDOM' is
If 1234526 is 'ENGLAND' and 785291 is 'FRANCE', then 381191 will be
The day on $$7^{th}$$ July 2016 was
The time between 5:30 AM and 6:10 AM, the two hands of the clock will be at right angles is
The smallest angle between the two hands of a clock when the time is 10:25 AM is
Miss A, who is daughter of Mr. B, said to Miss C that "your mother D is the elder sister of my father who is second child of Mr. E". Then E is related to C as
Friends A, B, C, D, E, F sit around a table facing the centre, F is between A and B and D is between C and E. If B is at immediate left to C, then the neighbours of E are
The difference of times of arrival of two buses A and B at Vijayawada bus stand is 43 minutes. A came to the bus stand 32 minute later than its scheduled time. After that B arrived to the bus stand 20 minutes before its scheduled time 10.42 A.M. Then the scheduled time of arrival of bus A at the bus stand is
When I arrived at a local station, I saw in the notice board that the next train will come at 14.35 hrs with a late of 12 min. If the local trains come to the station at intervals of 30 minutes, then the scheduled departure of the previous train is
If A, M, D, S denote Addition, Multiplication, Division and Subtraction respectively, then
$$[20S \left\{(6M4)D4 \right\}A7] = ?$$
If $$xy \neq 0$$ and $$x * y = 1 + \frac{1}{xy}$$, then $$\sum_{a =1}^{2020}(\frac{1}{a^{2}} * a)$$
$$a = \frac{1}{2}, b = \frac{1}{3}, x = \sum_{n = 0}^{\infty} a^{n}, y = \sum_{n = 0}^{\infty} b^{n}$$, then $$\frac{x+y}{x-y} = ?$$
$$\frac{1}{x^{a-b} + x^{a-c}+1} + \frac{1}{x^{b-c} + x^{b-a}+1} + \frac{1}{x^{c-a} + x^{c-b}+1}=$$
If $$x$$, y, z are real numbers and not all zero and $$x + y + z = 0$$, then $$\frac{x^{2} + y^{2} + z^{2}}{(x - y)^{2} + (y - z)^{2} + (z - x)^{2}}$$
Rs. 6,624 is divided among P, Q and R so that the ratio of P's to Q's share is 2:1 and that of Q's to R's share is 6:5. Then the share (in rupees) of Q is
At a certain function the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the function, the ratio became 1 : 3. How many people were present at the function in the beginning?
If $$a = \sqrt{2} + \sqrt{3}$$ then $$a^{3} + \frac{1}{a^{3}} =$$
$$\sqrt{10 + 2\sqrt{6} - 2\sqrt{10} - 2\sqrt{15}} =$$
The sum of all odd numbers from 1 to 300 is
The least value of $$x$$ such that 98756$$x$$943 is divisible by 9 is
The least positive integer which when divided by 2, 3, 4, 5 and 6 leaves in each case a remainder 1, but when divided by 7 leaves no remainder is
The largest 4 digit number that leaves same remainder 5 when divided by 8, 15, 12, 25 is
The least fraction that should be added to $$3\frac{2}{3}+6\frac{7}{12}+4\frac{9}{36}+6+7+\frac{1}{2}$$ to make the sum a whole number is
$$\left[\left(1 + \frac{1}{2}\right)\left(1 + \frac{1}{3}\right)\left(1 + \frac{1}{4}\right)\left(1 + \frac{1}{5}\right)\right]\left[\left(1 - \frac{1}{2}\right)\left(1 - \frac{1}{3}\right)\left(1 - \frac{1}{4}\right)\left(1 - \frac{1}{5}\right)\right]=$$
The increasing order of the fractions $$\frac{6}{7}, \frac{7}{8}, \frac{5}{6}$$ and $$\frac{4}{5}$$
If $$x \leq y \leq z \leq t \leq w \leq x$$ and y = 23, then w =
When the tax on a commodity is diminished by 15%, then its consumption i5 increased by 10%. What is the effect on the revenue derived from it?
The radius of a circle is increased by 10%. How much percent does its area increase?
By selling an article for Rs. 5700, a trader would lose 5%. At what price (in Rs.) must he sell it, to gain 5%?
The cost price of 15 books is equal to the selling price of 18 books. What is the percentage of profit or loss?
P and Q entered into a partnership investment of Rs.24000 and Rs. 30000 respectively. After 6 months P withdraws Rs. 4000. What is the share (in Rs.) or Q in the annual profit of Rs. 10,400?
P, Q, R and S enter into a partnership. P subscribes 1/3 of the capital. Q subscribes 1/4, R subscribes 1/4 of the capital and S subscribes the rest. Then the share (in Rs.) of S out of a profit of Rs. 6000 is
Two pipes P and Q will fill a cistern in $$37\frac{1}{2}$$ min, and 45 min. respectively. If both pipes are opened at a time, after what time (in min.) the second pipe Q must be turned off, so that the cistern is filled in half an hour?
Two pipes P and Q can fill a cistern in 4 min, and 6 min, respectively, If these pipes are opened on alternatively starting with P for one minute each, how long (in min.) will it take to fill the cistern?
A car does a journey in 10 hours during the first half at 42 kmph and in the next half at 48 kmph. Then what is the total distance travelled by the car (in kilometers}?
A train travelling at a speed of 80 kmph reaches its destination $$1\frac{1}{2}$$ hrs earlier to the time it would have taken at a speed of 60 kmph, for the same distance. Then the distance travelled by the train (in kms) is
P works twice as much as Q. If both of them together finish a work in 12 days, in how many days P alone can complete the same work?
P alone can complete a work in 6 days, Q lone in 8 days and R alone in 12 day. After Q and R together worked for 2 days, then R left the work and P replaced him. In how many days will the remaining work be completed?
The length and height of a hall are 22m and 6.5 m respectively. If the area of the four walls of the hall is 442 sq.m, what is the breadth of the hall in meters?
The area (in sq.meter,) of the path of 2m wide around a rectangular field of dimensions 60m $$\times$$ 40m is
The volume of a right circular cylinder of height 20cm is equal to the volume of a sphere of radius 15 cm. Then the base radius of the cylinder (in centimeters) is
How many solid spherical bullets of 1.5cm in diameter can be made out of a solid lead cylinder 20cm in height and 6cm radius?
The ratio of the area of a square to that of the square drawn on its diagonal is
A window is in the shape of a square surmounted by a semi circle. If the length of the side of the square is 56 cm, then the area (in sq.cm) of that windows is (Taken $$\pi = \frac{22}{7}$$)
The area of a semicircle is 1925 sq.cm. Then its perimeter (in cms) is approximately
$$11011_{(2)} = x_{(7)}$$ then, $$x$$ =
If 149 = $$x$$(mod 13) and $$0 \leq x \leq 12$$, then the remainder when $$x^{2} + 7$$ is divided by 9, is
Which one of the following statements is true?
Which one of the following statements is a tautology?
At a party in which each person drinks either coffee or tea, 60 persons drink tea, 50 drink coffee and 20 drink both coffee and tea. How many persons are there in the party?
The number of bijective functions from the set {1,2,3} onto the set {a, b, c, d} is
The domain of the function $$f(x) = \sqrt{\log_{10}(x^{2}-5x + 7)}$$
The sum of the squares of the length of the intercepts made by the straight line $$13x - 15y - 195 = 0$$ between the coordinate axes is
The line L passes through the point (2, 3) and makes an angle $$45^{\circ}$$ with $$x$$-axis. Then the
equation of the line passing through the point (1, 2) and perpendicular to the line L, is
$$\tan 960^{\circ} + \cos 510^{\circ} + \sec 750^{\circ} =$$
$$\tan\frac{\pi}{24}.\tan\frac{3\pi}{24}.\tan\frac{5\pi}{24}.\tan\frac{6\pi}{24}.\tan\frac{7\pi}{24}.\tan\frac{8\pi}{24}.\tan\frac{9\pi}{24}.\tan\frac{11\pi}{24}$$
If $$x = \tan \theta + \sin \theta$$ and $$y = \tan \theta - \sin \theta$$ then $$(x^{2} - y^{2})^{2} =$$
On the top of a tower there is a flag staff. At a point 200m from the foot of the tower, the angles of elevation of the top and bottom of the flag staff are respectively $$60^{\circ}$$ and $$45^{\circ}$$. Then the length of the flag staff (mts) is
If $$x + y = 8$$ , then $$x^{3} + y^{3} - x^{2} - y^{2} + 22xy =$$
If m, n are integers such that $$x^{4} + 4x^{2} + mx + n$$ is a perfect square, then 2m - 3n =
If $$x^{3} + 2x^{2} + ax + b$$ has factors $$x + 1$$ and $$x - 1$$, then (a, b) =
If $$ax^{2} + bx + 6$$ leaves the remainders 12 and 15 when divided by $$x - 3$$ and $$x + 4$$ respectively. then 7a + 14b =
If the system of equations $$4x + 6y = 11, 2x + ay = 7$$ has no solution, then the value of a is
The sum of a given two digit number N and the number obtained by interchanging the two digits is 110. If the digits of that number N differ by 2, then that number N is equal to
The sum of multiples of 5 between 28 and 102 is
The $$7^{th}$$ tern of the series $$-3, 1, -\frac{1}{3}, \frac{1}{9}$$ ,... ... ... is
If $$(2x + 3)^{10} = a_{0}+a_{1}x+ \cdot\cdot\cdot +a_{10}x^{10}$$, then $$a_{0}+a_{2}+a_{4}+ \cdot\cdot\cdot + a_{10} =$$
If the coefficients of the second, third and fourth terms in the binomial expression of $$(1 + x)^{n}$$ are in arithmetical progression, then a value of n =
If $$A =\begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 1 \end{bmatrix}, B =\begin{bmatrix} x \\ y \\ z \end{bmatrix} $$ and $$ AB =\begin{bmatrix} 6 \\ 3 \\ 1 \end{bmatrix}$$, then $$x + y + z = $$
IF a be a 2$$\times$$2 matrix such that $$A\begin{bmatrix} 7 & 8 \\ 5 & 6 \end{bmatrix} = \begin{bmatrix} 3 & -4 \\ 2 & -3 \end{bmatrix}$$, then trace of A =
$$\lim_{n \rightarrow \infty}\left\{\frac{1}{5.9} + \frac{1}{9.13} + \frac{1}{13.17} + \cdot\cdot\cdot + \frac{1}{(4n+1)(4n+5)}\right\}=$$
The value of $$\frac{d}{dx}(x^{x})$$ at $$x = \frac{1}{e}$$, is
Two triangles have equal area. If their bases are in the ratio 3 : 4, then the ratio of altitudes drawn to their bases, in the same order is
If the lengths of the diagonals of a Rhombus are 9cm and 12cm, hen its perimeter (in centimeters) is
The maximum number of common tangents that can be drawn to two circles which touch each other, is
If the distance between the point (3, 0) and a point P is 5, then P cannot be
Which one of the following points is nearest to the origin?
The mean of the marks scored by a student in the first five papers is 72. If the marks scored in the sixth paper are also included, then the mean decreases by 7. Then the marks obtained by that student in the sixth paper is
The median of 7, 8, 11, 10, 9, 6, 12, 13, 5, 14 is
If 76 and 72 are the mode and median of a data respectively, then the mean of the data is
The standard deviation of 12, 13, 14 is
If the variance of $$x_{1},x_{2}, .... ,x_{50}$$, is 7, then the variance of $$4x_{1} + 5, 4x_{2} + 5, ... , 4x_{50} + 5$$ is
If $$(x_{i},y_{i}) = 1, 2, ......... , 9, 10$$ are the ranks of the variables X and Y respectively such that $$\sum (x_{i} - y_{i})^{2} = 30$$, then the rank correlation between the two variables is
A coin is tossed and die is cast. Whit is the probability of getting tail on the coin and at least 3 on the die?
A and B are two sets such that n(A) = 3 and n( B) = 2. If a relation from A to B is selected at random, what is the probability that the relation will be a function?
When two dice are thrown, the probability of getting 11 as the sum of the numbers shown on the dice is
Two events A and B have probabilities 0.25 and 0.5 respectively. The probability that both A and B occur is 0.14 What is the probability that, neither A nor B occurs?
Choose the correct meaning of the word given:
Abnegation
Profligate
Cajole
Clandestine
Disparate
Succumb
Fill in the blank choosing the correct word:
As I can't hide my views. I shall _______ my mind.
This is the best _________ for the construction
The weather will clear ______ soon.
Would you mind ______ the window?
Choose the correct answer:
Bandwidth
Patent refers to
The act of finding and correcting errors in a computer programme is called
In digital storage 1,024 megabytes is a
The members in the meeting could not come to a __________, and so the meeting was adjourned.
The amount a business earns after expenses
The term associated with all the financial institutions of New York, including the stock exchange
Burnout refers to
Conciliator
A market in which share prices fall 20% or more from recent highs
Boy: Can I take my chocolate box?
Mother: Here you are.
According to the conversation, the mother _________
A: Fancy a pizza?
B: That's great, cheers, pal.
In this conversation, B __________
Alcoholism is a(n) ________ problem in colleges.
'If I were your wife. I would put poison in your coffee'. This sentence
A: May be the boss is trying to change
B: And may be pigs can fly.
In the above dialogue, B expresses his ________
Prem asked, "Raghu, where do you live?"
Identify the sentence rewritten in Indirect speech.
Prem asked Raghu ________
'I wish I hadn't, said those words'. The above sentence implies that the speaker actually
Fill in the blanks with appropriate phrase/verb/preposition:
Abdul ________ to be a doctor.
Can you lend me your cycle? ' ________'
He used to visit us every week but he _______ now.
I haven't had a call from her ___________ last Wednesday.
A cake ___________ by my mother yesterday.
This service should be available to all ________ their age.
The prophet preache not to hanker ___________ material benefits.
Every morning, he prays ___________ god.
Rend the following passage and answer questions
It is essential to build sustainability criteria into the supply chain of any green fuel project in order to ensure that there is no adverse effect on the surrounding environment and social structures. The report produced by the investors expresses concern that many companies may not be fully aware of the potential pitfalls in the biofuel sector. Production of com and soya beans has increased dramatically in the last few years as an eco-friendly alternative to fossil fuels but environmental and human rights campaigners are worried that this will lead to destruction of rain forests. Food prices could also go up as there is increased competition for crops as both foodstuff and sources of fuel. The UN has warned that biofuels could have dangerous side effects and said that steps need to be taken to make sure that land converted to grow biofuels does not damage the environment or cause civil unrest. There is already great concern about palm oil, which is used in many foods in addition to being an important biofuel, as rain forests are being cleared in some countries and people driven from their homes to create palm oil plantation. An analyst and author of the investors' report says that biofuels are not a cure for climate change but they can play their part as long as governments and companies manage the social and environmental impacts thoroughly.
According to the passage which statement is true?
The UN has NOT issued cautions regarding
According to the passage palm oil is
In the context of this passage, why are rain forests being cleared?
Which word in the passage means "hidden dangers"?
Read the following passage and answer questions
Ryokan, the Zen teacher, was requested by his sister-in-law to come to her house and talk to her son.
"He doe, not work, squanders his father's money in wild parties and is neglecting
the estate," she complained. "If he does not reform, we will be ruined."
Ryokan, went to his brother's house and met his nephew who was genuinely
pleased to see him. The two of them had spent many happy hours together before Ryokan
had turned to Zen and entered the monastery.
The young man knew why his uncle had come and braced himself for the , scolding
he was sure he would receive. But Ryokan said not a word in rebuke, the whole day.
The next morning when it was time for him to go, he put on his garments and then
said to his nephew: "Will you help me the the thongs of my sandals" My hands shake and I
cannot do it."
His nephew helped him willingly.
"Thank you," said Ryokan. "A man becomes older and feebler day by day. You
remember how strong and robust I used to be?"
"I do,"" said hi, nephew, thoughtfully. "I do indeed remember how you used to
be."
It was the moment of truth for him. He suddenly realized that his mother and all
those who had looked after him had become old and that it was now his turn to look after
them and to take on the responsibilities of the household and the community.
He gave up his dissolute life forever.
Ryokan was requested by his sister-in-law to visit her home to
The nephew of the Zen teacher expected that his uncle would __________
The Zen teacher's hands were shivering when he tried to the the thongs of his sandals because ___________
The way the Zen teacher taught his nephew is ________
The word 'dissolute' means
Read the following passage and answer questions
Way back in 1960s, when my generation was in the teens, long before any economist wrote about globalisation, Marshal McLuhan wrote a bestseller - The Medium is the Message - and coined the term global village. The book is full of quotable quotes about modern media, advertising, communication, politics, technology and so on.
It was a couple of decades after McLuhan's book was published that the word 'globalisation' captured the imagination of most people as they began to travel more easily. Television, as McLuhan reminded us, had brought the world into our living room. "Everybody experiences far more than he understands. Yet it is experience, rather than understanding, that influences behaviour", he wrote. Television had brought experience closer home, without the required understanding of that experience.
The author of the passage was born in the
McLuhan's book does NOT deal with
The term globalisation caught people's imagination in the
Television ______ the living room
_________forms the basis of behaviour.
