Five persons P,Q,R,S, and Tare going for a vacation on five different days of a week from Monday to Friday. Who goes on vacation Thursday?
I) Only two persons go on vacation after T and before R. More than two persons go on vacation after R and before P.
II) T goes on vacation inuuediately before S, only one person goes on vacation after Sand before Rand P goes before Q.
TS ICET 2021 Question Paper Shift-1 (19th Aug)
In the following questions a question is followed by data in the fonn 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 remainder when the natural number N is divided by 10 ?
I) N is divisible by 2
II) $$N = 6^x, x$$ is an integer $$\geq 1$$
What is the area of the rectangle?
I) The perimeter of the rectangle is 50cm
II) The ratio of length and breadth is 4 : 1
What was the distance ben;veen the trains $$T_1$$ and $$T_2$$ in the beginning?
I) Trains $$T_1$$ and $$T_2$$ cross each other completely in 18 seconds, while travelling in opposite directions. Speed of trains $$T_1$$ and $$T_2$$ are respectively 72 KMPH and 54KMPH
II) Length of $$T_1$$ is 170 meters less than the length of $$T_2$$
Who completes the job faster?
I) P finishes the job in 12 days
II) The same can be completed together by P and Q in $$6\frac{2}{3}$$ days
What is the first term of the arithmetic progression?
I) The sum of the first 10 terms of the arithmetic progression is 85
II) The sum of the first 20 tenns of the arithmetic progression is 370
Is n a prime number ?
I) n leaves remainder 1 when divided by 6
II) n leaves remainder 5 when divided by 6
What is the lateral surface area of the right circular cylinder (take $$\pi = \frac{22}{7}$$)?
I) Volume of the cylinder is 3850 cm$$^3$$
II) Height of the cylinder is 25 cm
What is the cost price of the article ?
I) Its sale price is Rs.10,000/-
II) Sale Price includes taxes
Find the volume of the cone of height h and base radius r units.
I) The volume of a cylinder of height h and radius r is 1694 cu. units
II) Surface area of a cylinder of height hand radius r is 242 sq. units
What is the value of x?
I) $$x^2 - 13x + 42 = 0$$
II) x is a real number
What is the average of the real numbers a, b, c and d?
I) a + b + c = 16 + d
II) 3(b + c + d) = 20 - 3a
What is the integer m ?
I) $$m^4 = 256$$
II) (m + 2)(m - 1) = 10
What is the length of the train?
I) Its average speed is 72 kmph
II) It takes 15 seconds to cross an electric pole
Is 14 a factor of n + 7?
I) n is even
II) n is divisible by 7
What is the area of the path arow1d the circular park?
I) Circular park has area $$961 \pi$$ sq. meters
II) The width of the path is $$1\frac{1}{2}$$ meters
How is x related to z ?
I) z is a son of y
II) y is a daughter of x
Is triangle PQR shown below an equilateral triangle ?
I) The co-ordinates of Q and R are (-4, 0) and ( 4, 0) respectively
II) P is a point on the line $$y = 4 \sqrt{3}$$
If x and y are length and breadth of a rectangle, then what is the area of the rectangle?
I) x > 15 inches and y < 10 inches
II) The product of x and y is 120 sq. inches
In the figure shown below, the area of the $$\triangle ABC$$ is 8, Does the point (a, b) lie within the triangle?
I) a < 2, b < 4
II) a = 0 and 0 < b < 3
For the following questions answer them individually
EFK : GHO :: _______ : ________
2 : 49 : 12 :: _________ : __________ : ___________
C, E, G, _________, M, Q, S, W
APRIL : 64 :: JULY : ___________
L X M : 12 X 13 :: W X U : __________
PLAN : MIXK : : MAPLE : _______
DAER : READ :: _______ : PINK
11 : 1342 :: 9 : ______
MINOR : 69 :: MAJOR : ________
QOMK : IGEC :: XVTR : ________
In the following questions Pick the odd thing out.
42, 49, 60, 73, 88, 109
following each of the questions follows a definite pattern. observe the same and fill in the blanks with suitable ones.
$$66 \frac{2}{3}, 75, 80, 83\frac{1}{3}, 85\frac{5}{7}$$, __________
16, 33, 65, 131, 261, __________
7, 12, 22, 37, 57, ______, 112
(5, 7, 6); (9, 11, 10); (13, 15, 14); (17, 19, 18); ________
150150, 11550, 1050, 150, _________
7, 19, 73, 361, __________, 15121
BAT, __________, JSB, ____________,
196, 16, 144, 36, 100, _________
6, 24, 120, 336, __________
6, 24, 60, _________
The following table indicates the tax paid by 5 companies A, B, C, D, E in the months November 2019 to March 2020 (in thousands of rnpees). Based on the information given in the table answer the questions.
For which company, the tax paid in March has highest percentage increase over the month of November
In which month company 'D' recorded highest increase in the tax paid over the previous month?
The percentage decrease in the tax paid by company A in January over the month of November, corrected to two decimal places is
The following Pie Chart depicts the data on the number of students graduating from different branches of engineering in au year from a particular state. Based on this data answer the questions.
If the total number of students graduating is 27,000 then the number of students graduating from Civil Engineering is
The total number of graduates from Computer Engineering and Civil Engineering is equal to the number of graduates from which of the following two branches of Engineering?
If the number of the. graduates from all the branches is 21000 then the difference between the maximum number of graduates and the minimum number of graduates in all the branches is
What is the percentage of Mechanical Engineers graduating in the year ?
What is tl1e ratio of the graduating students from Mechanical to Electronics Engineering?
In a college of strength 1200 students, tbe number of students who read news papers A, B, C are given in the Venn diagram below. Using it answer the questions.
The number of students who read either paper B or paper C, but do not read paper A is
The number of students who do not read any of these three papers A, B, C is
A code designed for certain letters in English alphabet by replacing the letters with certain symbols and natural numbers according to the following rules:
i) If only two vowels or only two consonants come together in a word, then they are replaced by the symbols corresponding to their successors letters in the code;
ii) If the first and last letters are vowels in a word: then they are interchanged with the corresponding symbols
Based on this answer the following questions.
What is the code for the word OMEGA ?
What is the code for the word PACE?
What is the code for the word CARRY ?
What is the code for the word DELTA ?
What is the code for the word STREET?
For the following questions answer them individually
In a certain code language, if the word RECTANGLE is coded as TGEVCPING, then how is the word RHOMBUS is coded
If SPIKE is coded as TOJJD. then the code for CROWD is
In a certain code the word MISTER is coded as UFSNJT and word PARENT is coded as FOUQBS, then in the same code language, the word SQUARE is coded as
If SAGE is coded as TERI and MOUSE is coded as NUATI then ROSE is coded as
If DECK is coded as VlVXP and MUSIC is coded as NFHRX'. then DART is coded
21-07-1999 was Wednesday. What would have been the clay of the week on 21-07-1947?
At what time between 2 pm and 3 pm will the two hands of a clock be at 150° angle to each other ?
At 3.40, the hour hand and the minute hand of a clock form an angle of
A is mother of B. B is a daughter of C. D is father of C. How is D related to A?
Kabir left for Patna from Ranchi at 8.30 am. He travelled at the speed of 60 kmph for 3 hours 15 minutes. After that he reduced the speed to 20 kmph. If the distance between the two cities is 205 km at what time did Kabir arrived Patna?
A person comes for an interview at 10.10 am which was 30 minutes before scheduled time, which in fact was already delayed by 35 minutes. Then the time at which the interviews started is
Four bells A, B, C & D ring regularly at intervals of 25 minutes, 35 minutes, 40 minutes and 80 minutes respectively. If all the bells rang together at 10 am on Sunday when will they ring again simultaneously?
For the integers m, n define
$$m \alpha n = m + 2n, m \beta n= 2m + n$$ and $$m \gamma n = m^2 + n^2$$ then $$\left((-5)\alpha 6\right)\left((-2)\gamma (-3)\right) = $$
For $$a, b, \in N$$ and $$b > 1$$ define * by $$a * b = a \left(1 + \frac{1}{b} + \frac{1}{b^2} + ....\right)$$. Then $$(2 * 3)* 2 =$$
If $$a \otimes b = (a - b - 1)^2$$, and $$a \oplus b = \frac{ab}{3}$$ then $$(2 \otimes 5) \oplus 9 = $$
If $$\left(\sqrt[3]{\frac{3}{2}}\right)^x = \left(\frac{9}{4}\right)^{2x - 7}$$, then x =
$$\left\{4 - \left\{x^2 + \left(3 - \frac{1}{x^2}\right)^{-1}\right\}^{-1}\right\}^{-1} = $$
28 litres of a mixture contains milk and water in the ratio of 3 : 4. If 8 litres of pure milk is added to this mixh1re, then the ratio of water to milk in the resulting mixnire is
At a certain party the ratio of gents to ladies was 4 : 3. After some time 6 men and 4 women left the party and the ratio of men to women was 21 : 16. How many people were present in the patty initially?
The smallest number among
$$x = 3\sqrt{7} - \sqrt{61}, y = 6 - \sqrt{34}, z = 5 - \sqrt{23}$$ and $$w = 2\sqrt{3} - \sqrt{10}$$ is
If $$\left(\frac{a}{b}\right)^{x-1} = \left(\frac{b}{a}\right)^{x-3}$$, then the value of x is
The least values of a and b if (7a342b) is divisible by 88 are
When a number is divided by 783 it leaves a remainder 48. What will be the remainder if the same number is divided by 29?
If the GCD of two positive integers is 29 and their sum is 17 4, then their difference is
The LCM of two numbers is 20 times their HCF and the sum of their LCM and HCF is 2520. If the smaller of those numbers is 480. the ratio between the smaller and the bigger number is
A person spent $$\frac{2}{7}$$ of his salary on house rent and $$\frac{3}{5}$$ of the remaining on food and cloths. Rest he saved. If the amount he spent on food and cloths is Rs. 16500, then the amount he saved is (in rupees)
If we put $$\frac{7}{9}, \frac{6}{8}, \frac{5}{6}, \frac{4}{5}$$ in desending order, then the difference between first and second number is
What is the difference between the largest and smallest of the following rational numbers ?
$$\frac{3}{4}, \frac{13}{16}, \frac{5}{7}, \frac{97}{104}$$
If $$p = \sqrt[3]{2}, q = \sqrt[2]{3}, r = \sqrt[4]{5}$$ and $$s = \sqrt[6]{7}$$, then which one of the following ordering is true?
If $$23\frac{1}{3} \%$$ of $$37\frac{2}{7} \%$$ of x is 29, then x =
If the numerator of a fraction is increased by 20% and the denominator is decreased by 10% the fraction becomes $$\frac{16}{21}$$. What was the original fraction?
A man bought a horse and a caniage for Rs.3000. He sold the horse at a gain of20% and the caniage at a loss of 10%, there by gaining 2% on the whole. Then the cost of the horse is (in rnpees)
By selling an aiticle for Rs.4525 a merchant gets a loss of $$9\frac{1}{2} \%$$. In order to get a profit of $$7\frac{1}{2} \%$$, the selling price of the article in rupees is
Three persons A, B, C entered into a business with a total capital of Rs.250000. A invests Rs.20000 more than Band B invests Rs.25000 more than C. If at the end of the year. there is a profit of Rs.70000, then B's share in the profit in mpees is
Three persons A, B, C sta1ted a pannership business with the understanding that A would invest 100% of the capital where as Band C nm the business for 4 and 6 months respectively. At the end of 10 months A got 50% of the total profit of Rs.4 lakhS. Then the share of the profit of C (rnpees in lakhs) is
Pipe 'A' can fill a tank in 5 hours, but due to a tiny hole at the bottom it wok 8 hours to fill the tank. Then the time, in hours. for the fttll tailk of water to be drained through the tiny hole is (in hours)
Pipe A fills an empty tank in 4 hours and pipe B in 6 hours. If the two pipes are opened for one hour each alternatively with pipe A being opened first, then the tank will be filled (in hours) is
If a train of 240 meters long crosses a b1idge of length 180 meters in 20 seconds. then the speed of the train (in kmph) is
If a train takes 20 seconds to cross a platfonn of length 35 meters. the speed of the train (in kmph) is
A person-A can finish a piece of work in 20 days and another person-B in 30 days. With the help of another person-C they completed the work in 6 days. Then the number of clays in which C alone can complete that work is
Two persons A and B together can finish a piece of work in 12 days, while B and C can together finish the same piece of work in 16 days. If A, B, C work together, they can finish it in 8 days. Then the number of days required for C alone to compete the work is
The area of a squa1e is 196 sq.cm. whose side is haJf of the rndins of a circle. The circumference of the cirde is equal to the breadth of a rectangle. If the perimeter of rectangle is 712 cm. the length (in cm) of the rectangle is
A window is in the shape of a rectangle sunnounted by a semi circle on the width of the rectangle. If 12 cm. 8 cm are the sides of the rectangle, then the area of the wndow ( in cm$$^2$$) is
120 boys tak:e a clip simulrnneonsly into a swimming pool of length 80m and breadth 30 m. If tl1e average displacement of water spilled over by one boy is 5 m$$^3$$, then the raise in the water level (in m3) of that swimming pool will be
Volume of a right circular cone having base radius 70 cm and curved surface area 40040 cm$$^2$$ is (in cm$$^3$$)
A spherical ball, when immersed in a cylinder of base radius 7 cms., raises the level of water in the cylinder by 2 cms. Then the radius of the ball (in cm)
A cuboid of dimension 16 cm $$\times$$ 12cm $$\times$$ 8 cm is cut into 24 equal small cubes. Then the length of the side of ea.ch small cube in cm, is
The sum of the dimensions of a cuboid is l3 cm and its diagonal is $$5\sqrt{3}$$ cm. Its surface area (in cm$$^2$$) is
$$(465)_7 + (535)_7 = $$
$$(465)_7$$ in Binary system is
The negation of $$(p \rightarrow q)\rightarrow r$$ is
If p and q are two statements, then which of the following represents a tautology?
If a set A has 8 elements, B has 6 elements and $$A \cup B$$ has 10 elements, then the number of all subsets of $$A \cap B$$ is
If A has six elements, then the number of relations on A that are not symmetric is
The function $$f: N \rightarrow N$$ defined by $$f(x) = 2x + 7$$ for all $$n \epsilon N$$, then f is
If a line passing through the points (3, -5) and (7, 1) make intercepts a, b on the coordinate axes, then $$a^2 + b^2 =$$
The perpendicular distance from origin to the line passing through the point (15, -5) and making an angle $$135^\circ$$ with positive x-axis is
If $$\sin \theta = \frac{1}{2}$$ and $$\theta \epsilon \left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]$$, then $$4 \theta = $$
$$\frac{\sin 15^\circ - 5 \cos 300^\circ + 7 \tan 225^\circ}{\tan 135^\circ + 3 \sin 210^\circ} = $$
$$\sin^2 (\theta - 45)^\circ + \sin^2 (\theta + 15)^\circ - \sin^2 (\theta - 15)^\circ =$$
From the top of a building of height 20m, the angles of depression of the top and bottom of a tower are $$30^\circ, 60^\circ$$ respectively. Then the height of the tower. in meters, is
If the sum and product of the roots of the equation $$ax^2 - 5x + c = 0$$ are equal to 10 each. then the value of a and c respectively are
If one root of the equation $$3x^2 - 8x 2k + 1 = 0$$ is seven times the other, then the value of k
If $$a \neq b, x^2 + ax + b$$ and $$x^2 + bx + a$$ have a common factor, then
A number was divided successively by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is
If $$\frac{x + y}{xy} = \frac{5}{18}$$ and $$\frac{x - y}{xy} = \frac{1}{18}$$, then $$2x + 3y =$$
If $$x + y = a, y + z = b, z + x = c$$ then $$x - 2y + z =$$
If 9 times the $$9^{th}$$ tenn of an Arithmetic Progression is equal to 13 times the $$13^{th}$$ tenn, then the $$22^{nd}$$ tenn of the Arithmetic Progression is
If the third term of Geometric Progression is 4, then, the product of its first 5 terms is
If the coefficients of $$2^{nd}, 3^{rd}$$ and the $$4^{th}$$ tenns in the expansion of $$(1 + x)^n$$ are in Arithmetic Progression. Then the value of n is
For $$0 \leq r \leq 10$$, if $$C_r = 10_{c_{r}}$$ then $$1.c_1 + 2.c_2 + 3.c_3 + ...... + 10.c_{10} = $$
If the matrix $$\begin{bmatrix}7 & 1 & -3 \\4 & 2 & x\\1 & -1 & 5 \end{bmatrix}$$ is singular, then x =
If $$x_2, x_1 < x_2$$ are the pair of values of x satisfying the matrix equation
$$\begin{bmatrix}1 & x & 1 \end{bmatrix} \begin{bmatrix}1 & 3 & 2 \\2 & 5 & 1\\15 & 3 & 2 \end{bmatrix} \begin{bmatrix}1 \\ 2 \\ x \end{bmatrix} = \begin{bmatrix}0 \\ 0 \\ 0 \end{bmatrix}$$, then $$\frac{x_1}{x_2} =$$
$$\lim_{x \rightarrow 0}\frac{1 - \cos 5x}{4x^2} =$$
If $$y = \sqrt{x} + \frac{1}{\sqrt{x}}$$, then $$\frac{dy}{dx}$$ at $$x = 1$$ is equal to
The equation of the line passing through the point (1, 2) and perpendicular to the line $$x + y + 1 = 0$$ is
ABCD is a trapezium with AB and CD as its parallel sides. If the diagonals AC and BD intersect in E and CE : EA = 3 : 2, then AB : CD =
The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is
If A(3, -7), B(-2, 5) and the point C(x, y) is on the line segment AB between A and B such that AC = 8, then 3x + 2y =
If a line makes unequal intercepts on x, y axis with the sum 12 and if it passes through the point (2, 4), then the perpendicular distance from origin to the line is
If the arithmetic mean of the series $$a_1, a_2, ... a_n$$ is A and the arithmetic mean of the series $$b_1, b_2, ... b_n$$ is B, then the arithmetic mean of the series
$$a_1 + b_1, a_2 + b_2, ..., a_n + b_n$$ is
The median of the first 41 even natural numbers is
Arithmetic Mean of the following frequency distribution is
The variance of the data 151, 152, 153, ... , 175 is
If $$\sigma$$ is the standard deviation of $$x_1, x_2, x_3, ......, x_n$$ then the standard deviation of observations $$5x_1 - 11, 5x_2 - 11, 5x_3 - 11, ....., 5x_n - 11$$ is
In a data with 12 observations, the coefficient of rank correlation is zero, then
$$\sum_{i=0}^{12}d_{i}^{2} =$$
If a number is selected at random from the first 120 natural numbers, then the probability that it is a multiple of 6 or 8 is
When 5 boys and 6 girls sit in a row at random, the probability that no two boys sit together is
When two persons are selected at random from 15 persons who sat around a table, the probability that the selected persons are not adjacent to each other is
Out of the four digit numbers with distinct digits fonned by using the digits 1, 2, 3, 4, 5. A number is chosen at random. Then the probability that the chosen number is odd is
Choose the correct word/correct meaning of the word/Fill in the blanks with correct word/ verb/phrase/ preposition.
Insipid
Sedulous
Prowess
Deplete
Gluttony
Brazen
One who lacks professional skill or enterprise is _______
A statement or proposition on which an abstracily defined strncture is based is called ____________
Tigers are known for their _________
The horse is running ______________
They have been living in Pune since 2000. What is the part of speech of 'since' ?
From his expression it was ______ that he did not know the answer to the question put by the interviewer.
____________ bits is equal to one byte.
Digital signals used in ___________ have discreet values.
Simplex is _____________.
C.H.D.L. stands for ________________.
___________ is used by computer to move data between RAM and CPU.
The grapluc rating scale method assesses an indiviclnal on the basis of _____________
Laissez-Faire leadership involves ______________
Esprit de corps implies ______________.
A: "We cannot discount the possibility of further strikes."
B: "You are always a pessimist."
According to 'B ', 'A' is
My dog was run over by a car.
The underlined phrase means
The Manager threw cold water over the project that the Engineer had prepared.
Underlined idiom means:
A: Have you prepared the presentation?
B: Yes, but I don't want to show my hand just yet.
'B' Means that he ________________
Change the following into active voice:
"Our house is being painted".
The work seemed impossible but somehow Krishna ________________ cleverly in the end.
A : They started arguing over a piece of land.
B: It has been a bone of contention between them for long.
'B' means that the piece of land was
A : I thought he was a gentleman.
B: True, he is accustomed to backbiting.
B means that the person in question is in the habit of _____________.
Rainy season has ______________ , and the days are getting cool.
Indolence means
Mohan was advised to abstain ________________ eating sugar.
Everyone in this world is occountable to God _________________ one's actions.
The prisoner was _______________.
She __________ the offer of promotion.
He made _____________ discovery for which he was honoured.
Read the following passage and answer the questions.
Literature is tightly called 'the brain of humanity'. Just as the brain preserves every experience or sensation and judges a fresh experience or sensation in the light of the acquired knowledge or experience so humanity at large has a record of its past in literature. Its present conditions, problems and circumstances can best be examined and understood for it is a record available through literature. Literature is fundamentally an expression of life through the medium of language. It is the storehouse of individual human experience and also of experiences of the human race in general. It does not simply record human deeds and actions nor does it concern itself much with man and his social, political and economic activities. It is concerned chiefly with man's inner life - our passions, emotions and feelings. A description of outward human life is just the means and not the end in literature. Man's outer life is studied and examined to understand him thoroughly and folly. Hence literature is concerned with human thinking and feeling - how we think and solve our problems - ethical, moral, emotional and spiritual.
Why is literature called the 'brain of humanity'?
What is literature fundamentally?
What is 'acquired knowledge'?
What is the major concern of literature?
Literature is a storehouse of ___________
Read the following passage and answer the questions.
Losers let it happen. Winners make it happen. Life is a do-it-yourself project. Whatever you give credence in your thinking will likely come to pass. Learn to develop two critical abilities; the ability to live with uncertainty, and the ability to delay immediate gratification in favour of longrange goals. Losers try to escape from their fears with activities that are tension-relieving. Winners are motivated by their desires towards activities that are goal-achieving. Choose your responses to what occurs. Learn from your mistakes, rather than repeat them. Spend time taking action in the present rather than fearing what may happen in the future. And be different, if it means taking the calculated risk. The greatest risk in life is to wait for and depend on others for your security. The greatest security is to plan and act, and take the risk that will ultimately make you independent.
What does the term 'losers' mean ?
How do 'winners make it happen' ?
What is essential for success?
How do losers try to escape from their fear?
How can one achieve success?
Read the following passage and answer the questions.
A list of articles lost by railway travellers and now on sale at a great London station has been published. and many people who read it have been astonished at the absent-mindedness of their fellows. If statistical records were available on the subject, however. I doubt whether it would be found that absent-mindedness is common. It is the efficiency rather than the inefficiency of human memory that compels my wonder. Modern man remembers even telephone numbers. He remembers the addresses of his friends. He remembers the dates of good vintages.
He remembers appointments for lunch and dinner. His memory is crowded with the names of actors and actresses and cricketers and footballers and murderers. He can tell you what the weather was like in a long-past August and the name of the provincial hotel at which he had a vile meal during the summer. In his ordinary life, again. he remembers almost everything that he is expected to remember. How many men in all London forget a single item of their clothing when dressing in the morning? Not one in a hundred. Perhaps not one in ten thousand. How many of them forget to shut the front door when leaving the house? Scarcely more. And so it goes on through the day, almost everybody remembering to do the right things at the tight moment till it is time to go to bed. and then the ordinmy man seldom forgets to nun off the lights before going upstairs.
As for leaving articles in trains and in taxies, I am no great delinquent in such matters. I can remember almost anything except books and walking-sticks and I can often remember even books. Walking-sticks I find it quite impossible to keep.
The essayist is astonished about ___________.
"Modern man remembers even telephone numbers". From this statement what does th author suggest?
The word "Scarcely more" in the context of the passage means
"I am no great delinquent in such matters" means
The word "seldom" means
