AP ICET 2020 Question Paper Shift-1 (10th Sep)

In the following questions each question is followed by data in the form of two statement  labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the questions.

What is the rate of interest percent per annum?
I. The difference between the compound and simple interest on an amount of Rs. 1,15,500 is Rs. 415.8 at the end of 2 years
II. The simple interest earned at the end of one year is Rs. 2420.

What is the length of the train?
I. The train takes 10 seconds to cross a bridge
II. The train takes 30 seconds to cross a platform.

What is the marked price of the table?
I. The marked price of the table is 30% above its cost price. Two successive discounts were given while selling the table.
II. The table was sold for Rs. 2700. The percentage of discount given during the second time is twice the percentage of discount given during: first time

What is the total number of girls in the class?
I. Ratio of the number of boys to the number of girls in the class is 7 : 5
II. The average weight of girls in the class is 2 kg less than the average weight of boys in the class. The average weight of all the students of that class is 45 kgs.

Two persons A and B start running towards each other at the same time  from P and Q and meet after 120 minutes. What is the Speed of A?
I. Q is 35 km away from P and speed of A is 120% of the speed of B.
II. Distance covered by B is 15 km

By how many years is Aswani younger than her brother Sanjay?
I. The ratio of Aswani's present age to that of Sanjay after 3 years is 7:9
II. The ratio of Aswani sage three years ago to Sanjay's present age is 1:2

How far and in which direction is point B with respect point A?
I. Point G is 6m to the east of A, point C is 9m to the north of G, point F is 3m to the west of C and point B is 6m away from F
II. Point M is 8m to the west of B. point R is 8m to the south of M, Point A is 11 m to the east of R. Point C is to the north-east of A

Six persons C, D, E, F, G, H are sitting in a line (row) facing North with equal distance between each other. Who sits second to the left of G?
I. There is only one person between C and H, and C sits third from the left end of the line. G sits at one of the positions to the right of E and only two people sit between E and G.
II. E sits third to the left of G. F sits at one of the positions to the right of H. G is not at the extreme end. More than 3 people sit between H and F.

What is the height of the right circular cylinder?
I. Volume of the cylinder is 278 $$cm^3$$
II. Lateral surface area of the cylinder is 135 $$cm^2$$

M, N, O and P are four positive integers. What is the value of O?
I. $$P > O > N > M$$ and the median of these four numbers is 75
II. M and N are equidistant from 49. P and O are equidistant from 118

How many entries in the stock register can three persons post in one day?
I. A working day consists of 8 hours
II. Ten persons can post 1200 entries in five days

What is the height of the right angled triangle?
I. The perimeter of the triangle is 30 cm
II. The difference between the height and the base is 7 cm.

What is the distance between P and R?
I. P is 90 m from Q
II. Q is 60 m from R

What is the value of $$5x^3y - \frac{5x^3}{y}$$?
I. $$y + 1 = 0$$
II. $$y - 2 = 0$$

Is a>0?
I. $$a < a^2$$
II. $$\frac{1}{a} > 4$$

For two sets A and B, is $$A \cap B = \phi$$?
I. n(A) = 7, n(B) = 9
II. $$n(A \cup B) = 14$$

If O is the centre of the circle, what is the area of the shaded portion?
I. Radius of the circle is 8 cm
II. $$\angle ACB = 30^\circ$$

What is the size of population of a city in the year 2020?
I. It population in the year 2000 was one million.
II. The rate of increase of population is 5% per decade

Will it be a Sunday tomorrow?
I. Yesterday is not a Friday
II. Sunday is a Holiday

What is the value of the coins in the pocket?
I. 30 of the coins in the pocket are one rupee coins.
II. There are 40 coins in the pocket

In each of the Following questions a equence of number or letter that follow a definite pattern is given. Each question has a blank space. This has to be filled by the correct answer from the fom given option to complete the equence without breaking the pattern.

In the Following questions pick the odd thing out.

The following question follow a definite pattern. Observe the same and fill in the blanks with suitable answers.

$$\frac{9}{5}, \frac{35}{13}, \frac{91}{25}, \frac{189}{41}, \frac{341}{61}$$, ________

In the table given below, year and subject wise selected candidates in an industry are given. Based on the information given in the table answer questions

The Pie-chart shows the percentage of the share of export of wheat from India to various countries. The bar chart shows the price of wheat per tonne in different countries in August 2018.

Total quantity Exported : 3,00,000 tonnes

What is the difference between the average of the export of the wheat to Mauritius and Singapore together and the average of the export of wheat to Qatar, Dubai and Malaysia together (in tonnes)?

If 30% of the export of wheat to fa laysia goes to its capital Kuala Lumpur and the export Price for Kuala Lumpur is $900 per tonne then what is the value of wheat exported to Kuala Lumpur (in thousand dollars)?

What is the difference between the total exported value of wheat to Mauritius and the total exported value of wheat to Australia and Dubai together in (thousand dollars)?

If the export to Qatar is 15 % less in July compared to that in August and the price of export of wheat to Qatar is 5% more in July compared to that in August, what is the value of wheat (in thousand dollars) exported to Qatar in July?

In a group of 64 people, 36 speak telugu, 40 speak English, 38 speak Hindi, 18 speak both Telugu and Hiudi. 24 speak Hindi and English and 16 speak English and Telugu. 8 people speak all the three languages. Based on this infonnation, answer questions

In a certain code, $$n^{th}$$ letter of the English alphabet is called as $$r^{th}$$, where $$n + 12 = 26m + r$$ such that m and r are integers and $$0 \leq r \leq 25$$ and when r = 0, $$r^{th}$$ letter is treated as 'z'. For example the $$5^{th}$$ letter E is-coded as $$17^{th}$$ letter Q. N as Z and R is coded as, D , The reverse process is used for decoding. Use these to answer questions

For the following questions answer them individually

In a certain code language 'today is Sunday' is coded as 'Zt bx jq' and 'sunday is holiday' is coded as 'jq bx hi'. Then the code for ' holiday' in that code language is

If a clock's hand coincide every 64 minutes, the time (in hrs) it loses in a week is

The time between 7:15 PM and 8:00 PM, at which the minutes hand and hours hand in a clock coincide is?

A is the husband of daughter of B who is the wife is C. If D is the son of A. then C is related to D as

A person covers the distance between his house and office on his scooter with an average speed of 20 km/hour. He is late to his office by 12 mts. However. at a speed of 30 km/hour, he reaches his office 8 min earlier than the usual time. The distance (in km) behveen his house and office is

A person A has come to a meeting 45 minutes late but 33 minutes before the arrival of B who has arrived 56 minutes later than C. If C came to the meeting at 11:07 AM, the meeting is scheduled at

Six people A, B, C, D, E and F are sitting for a meeting around round table facing the centre of the table. D is to the right of A and left of E. B is to the right of C and left of A If F is opposite to A. Who is sitting to the right of F?

If '+' means '-', '-' means '$$\times$$', '$$\div$$' means '+' and '$$\times$$' means '$$\div$$', then what is the value of $$15 - 3 + 10 \times 5 \div 5$$

$$f(x) = (x + 1)^2, g(x) = (x - 1)^2, h(x) = \frac{x}{2}$$ then, $$f\left(g(h(-1))\right) = ?$$

For any integers m and n, define $$m * n = 2n^2 + 3m, m \alpha n = \frac{4n}{(3m + 3)}$$ and $$m \beta n = 5n(2m - 1)$$, then $$8 * (9 \alpha (7 \beta 6)) = ?$$

35 litres of mixture contains milk and water in the ratio 4 : 1. How much water (in ltrs) is to be added to this mixture so as to have milk and water in the ratio 2 : 1?

If the GCD and LCM of two positive integers $$x, y$$ are respectively 18 and 1080, then the remainder when their product $$xy$$ is divided by 49 is

$$\left(1 + \frac{1}{2}\right)\left(1 + \frac{1}{3}\right)\left(1 + \frac{1}{4}\right) + ....... \left(1 + \frac{1}{41}\right) =$$

The difference between the largest and the smallest of the fractions:
$$\frac{5}{6}, \frac{13}{18}, \frac{6}{11}$$ and $$\frac{19}{36}$$ is

In an election contested by 2 candidates 15% of the voters did not vote. The winning candidate won by 1530 votes by securing 60% of the votes. Then what is the number of voters in the electorate?

By selling an article for Rs. 6900, a dealer gets a loss of 8%. In order to get a profit of 5% on that article, its selling price (in rupees) should be

If three partners A, B, C invest Rs. 36,000, Rs. 54,000 and Rs. 72,000 respectively in a business for a period of 12 months, 8 months and 6 months respectively, then the share of C in rupees) in a profit of Rs. 10,980 at the end of the year is

A and B enter into a partnership with capitals Rs. 45,000 and Rs. 60,000 respectively. After 4 months. A invests another Rs. 15,000. Then the ratio in which A and B share the profit at the end of the year is

Two pipes A and B can fill an empty tank in 6 hours and 8 hours respectively. After opening both of them for x hours pipe B is closed and pipe A filled the rest of the tank in 4 hours, then x =

Tap A and Tap B can fill a tank independently in $$3 \frac{1}{2}$$ hours and $$4 \frac{1}{2}$$ hours respectively. Tap A is opened at 6:00 AM. After that tap B is opened at 7:10 AM. then the time at which tank will be full of water is

Three trains moving with speed 45 kmph, 60kmph and 75 kmph respectively took $$t_1, t_2$$ and $$t_3$$ hours to travel $$x, \frac{5x}{4}$$ and $$\frac{3x}{2}$$ kilometers. Then $$t_1 : t_2 : t_3 = $$

Mr. A travels from P to Q at 60 kmph and returns from Q to P at 40 kmph. If the total time taken for the whole trip is 10 hrs then the distance between P and Q (in kms) is

Three persons A, B, C can finish a piece of work alone in 16, 24, 32 days respectively. All the three together started the work. But after 2 days A left due to illness and B, C continued it. Then the total number of days in which the work finished is

A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. The number of days required for all the three put together to complete the work is

A tent is in the form of a cylinder surmounted by a cone. The radius of the base of the cylinder is 30 feet and its height is 10 feet. If the total height of the tent is 20 feet, then the volume enclosed by the tent (in cubic feet) is

A trapezium has height 18 cm. If the difference between the lengths of the parallel sides is 24 cm and its area is 504 sq.cm, then the length of its longer side (in cms) is

Let S be the surface area of a cube of edge 9 cm. This cube is cut into smaller cubes of edge 3 cm each. If $$S_1$$ is the sum of the surface areas of all the smaller cubes then $$S:S_1 =$$

The larger and smaller radii of a frustum of a cone are 18 ems and 8 ems respectively. If the height of that frustum is 12 cm then its volume (in cubic centimetres) is

If $$p, q, r$$ are three statements, then $$(p \rightarrow (q \rightarrow r))$$ is equivalent to

The contrapositive of the statement $$p \rightarrow q$$ is

Let $$A = \left\{x ∈ ℝ \mid x^2 < 9\right\}$$ and $$B = \left\{x ∈ ℝ \mid 4 < x^2 < 16\right\}$$ then $$A \cap B =$$

If a line passes through the points (-7, 18) and (32, 5), then the sum of the intercepts made by the line on the coordinate axes is

$$\sin 75^\circ =$$

The top of a tower makes angles of elevation $$30^\circ$$ and $$45^\circ$$ at the two points A, B which are collinear with the foot of the tower on the level ground. If AB = 100 m, then the height of the tower, (in meters) is

A polynomial of degree 4, with leading coefficient one and with rational coefficients for which $$2 - \sqrt{3} - \sqrt{5}$$ is a zero is

A polynomial in $$x$$ leaves remainders -1 and 7 when it is divided by $$x + 1$$ and $$x - 3$$ respectively. If the same polynomial is divided by $$x^2 - 2x - 3$$ then the remainder will be

The present age of a father is 4 times that of his son. After 10 years father's age is twice that of his son. Then the difference of their present ages is

If the sum to 2n terms of the arithmetic progression 2, 5, 8, ... . .. is equal to the sum to n terms of the arithmetic progression 57, 59, 61. ... ... then n =

In a geometric progression with positive common ratio, the ratio of $$13^{th}$$ term to the $$7^{th}$$ term is 27 : 1 then the ratio of its $$9^{th}$$ term to $$16^{th}$$ term is

If $$(1 + x)^{10} = a_0 + a_1x + a_2x2 + ...... + a_{10}x^{10}$$ then $$3(a_0 + a_2 + a_4 + .... + a_{10}) - 2(a_1 + a_3 + a_5 + ...... + a_9) =$$

If $$A = \begin{bmatrix}7 & 1 & 5 \\3 & 1 & -2 \\-4 & 3 & 2 \end{bmatrix}, B = \begin{bmatrix}1 & 4 & -6 \\2 & -1 & 5 \\7 & 0 & -3 \end{bmatrix}$$ then the trace of the matrix AB is

If B is a symmetric matrix and C is a skew symmetric matrix of the same order such that B + C = A then C =

If an arc of a circle of radius 21 cm subtends an angle $$60^{\circ}$$ at the centre of the circle, then the length of that arc (in cms) is (take $$\pi = \frac{22}{7}$$)

If $$(x_i, y_i), i = 1, ... , 7$$ are the ranks of the variables X, Y respectively such that $$\sum (x_i - y_i)^2 = 14$$, then the rank correlation between two variables is

When three cards are drawn at random from a well shuffled pack of 52 cards, the probability of getting at least one spade card is

If an integer is chosen at random from the first 125 natural numbers, then the probability that it is divisible by 6 but not by 8 is

A die is cast and a coin is tossed. The probability of getting at least 4 on the die and head on the coin is

Choose the correct meaning of the word given:

Fill in the blank choosing the correct word:

Choose the correct answer:

Observation is the bottom line of scientific enquiry.
The underlined phrase means

The house he lives in now is a far cry from the one he once lived in.
The underlined phrase means

Ben said to me, "How old are you?"
Identify the correct equivalent of this sentence in reported speech.

Fill in the blanks with the appropriate phrase/verb/preposition:

Read the following passage and answer questions:

Before the excavation of Harappan cities, scholars thought that Indian civilization had begun in the Ganga valley as Aryan immigrants from Persia and central Asia populated the region around 1250 BCE. The discovery of ancient Harappan cities unsettled that conception and moved the timeline back another 1500 years. situating the Indus Valley Civilization in an entirely different environmental context.

Harappa was a fortified city in modem-day Pakistan and is believed to have been home to as many as 23,500 residents living in sculpted houses with flat roofs made of red sand and clay. The city spread over 150 hectares - 370 acres - and had fortified administrative and religious centres of the same type med in Mohenjo-Daro. Both cities had similar organization and featured citadels, central areas in a city that were heavily fortified - protected with defensive military structures. Additionally, both cities were situated along the Indus River. This structure would have allowed those at the higher levels of the buildings in either city to look down the river and see into the distance.

Which idea is NOT part of the original assumption about the Indian Civilization?

Which of the following descriptions is NOT correct about the cities, Harrapa and Mohenjo-Daro?

Read the following passage and answer questions:

Two recent publications offer different assessment of the career of the famous British nurse Florence Nightingale. A book by Anne Summers seeks to debunk the idealizations and present a reality at odds with Nightingale's heroic reputation. According to Summers, Nightingale 's importance during the Crimean War has been exaggerated: not until near the war's end did she become supervisor of the female nurses. Additionally. Summers writes that the contribution of the nurses to the relief of the wounded was at best marginal. The prevailing problems of military medicine were caused by army organizational practices, and the addition of a few nurses to the medical staff could be no more than symbolic. Nightingale's place in the national pantheon, Summers asserts, is largely due to the propagandistic efforts of contemporary news reporters.

By contrast, the editors of a new volume of Nightingale's letters view Nightingale as a person who significantly influenced not only her age but also subsequent generations. They highlight her ongoing efforts to reform sanitary conditions after the war. For example, when she learned that peacetime living conditions in British barracks were so horrible that the death rate of enlisted men far exceeded that of neighbouring civilian populations. she succeeded in persuading the government to establish a Royal commission on the Health of the Army. She used sums raised through public contributions to found a nurses' training hospital in London. Even in administrative matters. the editors assert, her practical intelligence was formidable: as recently as 1947 the British Army's medical services were still using the cost-accounting system she had devised in the 1860's.

Anne Summers' book attempts to establish that Florence Nightingale's heroic reputation is ___________

According to Anne Summers, Nightingale occupied a place in the British National Pantheon due to

Nightingale raised funds, through public contributions, to establish a _____________

The editors of the new volume assert that Nightingale had also shown the lasting practical intelligence in devising a _____________

Read the following passage and answer questions:

How you talk. along with other kinds of social codes such as how you dress or how you behave, is an important way of displaying who you are: in other words, of :indicating social identity. This question of :identity, who we are, how we perceive ourselves and how others perceive us, is not defined simply by factors such as where we were born and brought up, who our parents are or were, and which socio-economic group we happen to belong to. Identity, whether it is on an individual, social or institutional level, is something which we are constantly building and negotiating all our lives through our interaction with others. Identity is also multifaceted: people switch into different roles at different times in different situations, and each of those contexts may require a shift into different, sometimes conflicting, identities for the people involved. One of the ways in which we accomplish and display this shift is through the language we use.

Identify the Incorrect statement about identity?

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!