What is the length of the train A?
I. A passe a pole in 10 sec.
II. A crosses a man standing on a platform $$\frac{1}{6}th$$ of a minute.
AP ICET 2022 Question Paper Shift-2 (25th July)
In the following questions numbered 1 to 20, a question is followed by data in the form of two statements labelled as I and II You have to decide whether the data given in the statement is sufficient to answer the questions.
What is $$a : b : c$$ ?
I. $$a^{2} + 4b^{2} = 4ab$$
II. $$a^{2} + 5b^{2} + 4c^{2} = 4b(a+c)$$
Is $$x$$ a prim number?
I. $$x$$ leaves remainder 2 when divided by 4.
II. $$x$$ leaves remainder 3 when divided by 5.
What is more efficient among two persons A and B?
I. A and B to getber can complete a job in 10 days.
II. A alone can complete the job in 15 days.
If $$x, y, z \epsilon ℝ$$ and $$z \neq 0$$.What is the value of $$\frac{xy}{z^{2}}$$
I. $$x = y$$
II. $$x^{2} + y^{2} = 0$$
15 men can plough a field of 36 acres in 6 days. What is the area that can be ploughed by 25 men?
I. 25 men work for 12 days.
II. Each man works for 8 hours in a day.
What is the statement number that should be subtracted from N to make it perfect square?
I. $$4000 < N < 5000$$
II. $$N = 4628$$
What are the co-ordinates of the point P?
I. P lies on the line which makes an angle of $$45^{\circ}$$ with the $$x$$ - axis.
II. The line passes through origin.
What is the area of the circle?
I. The circle passes thorough 4 vertices of a square.
II. The circle is inscribed in a square of side 10 cm.
Among the real number a and b, is a greater than b?
I. $$a^{2} + b^{2}$$
II. $$\frac{a}{b} = \frac{3}{5}$$
Is the integer 'a' even?
I. 8a is an even integer.
II. 9a is an odd integer.
What is the slope of the straight line?
I.The straight line passes through the origin and the point (3,2)
II.The straight line passes through (-3, -2),
How many items are sold in the shop?
I. A shop keeper sells each of the items at Rs. 50/-.
II. The shop keeper gets a profit of Rs. 1000/- for his investment of Rs. 4000/-·
Is $$x = 0$$?
I.The arithmetic mean of x, y, z, t is 6.
II.The arithmetic mean of x, y, z, t is 8.
Is the positive integer n divisible by 720?
I. n is divisible by 48 and 15.
II. n = b(b + 1) b + 2 (b + 3)(b + 4)(b + 5) for some positive integer b.
What is the total depreciation in the cost of the house at the end of 4 years?
I. Rate of depreciation of the house is 10% per amuun.
II. Area of the house is 1000 sq.m.
What are the three number in geometric progression?
I. Product of numbers = 1000
II. The three numbers are even.
What is the re1nainder obtained vvhen n is divided by 10?
I. $$n = 6^{k}$$, k is an integer $$n \geq 1$$.
II. k is a the real number.
What is the number of divisors of n?
I. $$n = p^{5}, q^{4}$$ ; p,q are distinct primes
II. n is divisible by only two distinct pri1nes.
What is the radius of the circle.
I. Circurnference of the circle is $$a\pi$$ unit and the area of the circle is $$b\pi$$ sq.units.
II. a = b.
In each of the following questions, a sequence of number 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.
DRUM : IWZR :: _________ : GQNSI
ARC : DOF : ALI : ____________
Tiger : Goat :: _____________: Herbivore
I : 18 :: __________ : 13
12 : 1728 :: ______________ : 2744
Pick up the odd thing out in the following options and mark its number as your answer for the question:
Note: The following question follows a definite pattern. Observe the same and fill in the blank with suitable answer.
(3 , 4, 5), (5, 12, 13) , (6, 8, 10) ,(7, 24, 25) , (17, 144, 145), ______________.
(48, 55, 73)
$$(0,0).\left(\frac{\pi}{6},\frac{1}{\sqrt{3}}\right),\left(\frac{\pi}{3},\sqrt{3}\right),\left(\frac{\pi}{2},\infty \right),\left(\frac{2\pi}{3},\sqrt{3}\right)$$, ___________
2, 26, 242, _________________, 19682
$$2 + \sqrt{5}, 9 + 4 \sqrt{5}, .............. , 161 + 72\sqrt{5}$$
$$E14W, F13T, I17Y,$$ ____________
2, 10, 30, 68, 130, ___________
35, 105, 319, 958, ____________
42, 56, 72, 90, 110, ____________
ICET, KAGR, _________, OWVKN, QUML, SSOJ
INDIA , KQIPL, ___________, OWSDH, QZXKS , SCCRD
$$\frac{1}{a - b}, \frac{1}{a^{2} - b^{2}},\frac{1}{(a + b)^{2}(a - b)},\frac{1}{(a + b)^{2}(a^{2} - b^{2})},\frac{1}{(a + b)^{3}(a^{2} - b^{2})}$$
$$5, \sqrt{30}, \sqrt{35}, 2\sqrt{30}, 3\sqrt{5}$$, __________.
D, F, J, P, ______________, H
$$-\frac{1}{6}, \frac{1}{3}, 1\frac{1}{3}, 2\frac{5}{6}, 4\frac{5}{6}, 7\frac{1}{3}$$
3, 5, 2, 4, 1, 3, __________
Note:
The following table gives the number of students admitted into various courses of a university. Using this data, answer the questions.
Taking all the four years into consideration, in which course there were maximum number of admissions?
What is the percentage increase in admissions of mathematics in 2019 compared to 2016 (approximately)?
What is the ratio of the nu1nber of students admitted into the university in 2017 to that of 2019?
Note: The following Pie chart shows bow the municipal funds are spent under different heads in a year. Study the chart carefully and answer the questions.
Which single bead uses 25% of the total funds?
What percentage of the funds is spent on housing?
What is the ratio of the expenditure on education to that on health?
Note:
The survey of 36 students in a class pertaining to reading habits of three types of books; Novels (N), Fiction (F) and Comics (C) revealed the following information:
12 students read N
15 read F
12 read C
3 read both N and C
5 read both N and F
4 read both F and C
And only one reads all of the three books.
Using this information, answer the questions from 52 to 55.
The number of students who do not read any of these kinds of books is
How many read exactly how of three type of books?
How many read only Fiction?
How many read C but not F?
Each of the following questions used a different coding pattern. Identify the pattern and answer the questions.
In a certain code, if' SPRING' is coded as 'USWPYT' then in the same code, the word that is coded as 'CXYBXA' is
In a certain code, if 'JANUARY' is coded as 'OFSZFWD' then code for 'NOVEMBER' is _______________
In a certain code, if the word 'AMAZON' is coded as 'ZNZALM' then in the same code the word 'INFOSYS' is coded as
In a certain code, if 'BLUE' is coded as 'ZIQZ', then the code for 'LATE' is
In a certain code, if 'BOMBAY' is coded as 'MOBYAB' then the code word for 'RAMDAS' is
For the words in English alphabet a code is evolved by the following rules:
i. Vowels in a word are kept as it is in their position a they appear
ii. The consonants that appear consecutively twice or more will be reversed in the same position. If only one consonant appears keep it as it is.
The same the are used for decoding.
Using these codes answer the questions.
The code for the word BROTHERS is
The word coded a 'ARAKUVALLEY' is
The code for 'PYTHAGORUS' is
In the code of 'QUESTION', the letters in 1, 2, 3, 3, 8 places in that order are
The setting of letters coded as 'LLYSABUS' ts
For the following questions answer them individually
If February 10, 2022 is Thursday then the day on Christmas in the same year is?
The time between 6 o'clock and 7 o'clock when the two hands of the clock are at $$150^{\circ}$$ angle with each other for the first time is
The angle between the two hands of the clock at 6:30 AM is
A and B are children of C.D and E are brother whose father is B. A is mother of F. Then B is related to F as
A train for Hyderabad leaves every 50 minutes from Bangalore. An announcement was made at Bangalore station that a train to Hyderabad left 40 ntinute ago and the next train is at 4:30 PM. Then the time of the announcement is
A person starts from home at 9:15 AM to reach a meeting place. Which is 72 km from his home. He travelled by a car at a speed 60 kmph and reached the meeting place 13 minute before the scheduled time. Then the scheduled time of the meeting is
Ten persons $$a1, a_{2}, a_{3}, .... a_{1}0$$ are sitting around a circle at equal distances facing the centre. $$a_{1}$$ is opposite to $$a_{8} , a_{2}$$ is to the right of $$a_{8}, a_{3}$$ is opposite to $$a_{2}, a_{5}$$ is opposite to $$a_{7}$$ who is the neighbour of $$a1, a7$$ and $$a_{9}$$ are neighbour of $$a_{4}, a_{10}$$ is opposite to a9 and a6 is his neighbour. Then the neighbours of a3 are
If the symbol $$\wedge$$ denotes '$$\times$$' the symbol '$$\delta$$' denotes '-' and the symbol '$$\mu$$'denotes'+', '$$\phi$$' denotes'$$\div$$', then $$(5\wedge4\mu7) \delta(6\phi3\wedge5\delta3)$$=
For integers (a, b), define a $$\oplus$$ b = r and a $$\odot$$ b = s, where r ands are the remainders, respectively when a + b and a . b are divided by 7. Then, (25 $$\oplus$$ 40) $$\odot$$ 10 =
For $$x,y \epsilon ℝ$$ define $$x \oplus y = (x +y + 1)^{2}$$ and$$x \ominus y = (x - y + 2)^{2}$$, then (1 $$\oplus$$ 4) $$\ominus$$ (2 $$\oplus$$ 5) =
Choose the correct meaning of the word given
Pejorative
Convivial
Efficacious
Ubiquitous
Frailty
Gratuitous
For the following questions answer them individually
Choose the correct antonym of the word given
Furtive
Choose the correct synonym of the word given
Guile
Choose the correct meaning of the expression given
Polygamy is the state of being
Choose the correct meaning of the underlined idiom in the given sentence
"Did you notice how Satish got the cold shoulder from Dileep".
Fill in the blank by choosing the correct word given
They could go to the college as the flood water _____________
The new drug is able to _________ the development of cancerous cells
For the following questions answer them individually
Choose the correct meaning of the word given
Abet
Fill in the blank by choosing the correct word given
The police could ______________ the thief after a long chase.
'Entomology' is a science of __________________.
The partnership entity is _________________
Choose the appropriate answer
The most basic language a computer is said to understand is
ASCII stands for
DSL (Digital Subscriber Line) is related to ____________
A computer program that functions as an intermediary between a computer user and
the conmputer hardware is called
Induction of an employee in a company takes place
Another name for application software is
Restarting the con1puter without turning off the power is called
Using social network to promote a product on social media platforms is called
Which feature is used to save a web page's location for future retrieval?
The capacity of a networked connection is determined by
The transistorized computer circuits were introduced in the
A financial inducement to an employee, so that he may not leave the place where be is working is called
Dividend is paid on
Directors of a joint stock company are elected by
Fill in the blank by choosing the correct answer
He gave the presentation _____ being ill.
If you are thinking about investing overseas, experienced guide?
I am sorry _________ the mistake
The book __________ five section .
They wanted to get their work done by hook or _____________ crook.
The watchman prevented Ravi __________ parking his vehicle near the gate.
For the following questions answer them individually
Choose the option that is the passive form of the given sentence
The detective found the lost necklace.
Fill in the blank by choosing the correct answer
I was amazed _____________ their audacity.
Raju loves to munch smoothing __________ he is watching a movie on television
For the following questions answer them individually
Choose the option that is active form of the given sentence
The marathon race was by Shiva in record time.
Fill in the blank by choosing the correct answer
You __________ wear your best shoes if you are going out for dinner.
Had the police not reached there in time the bandits ___ him.
If they were rich enough, they ___________ that expensive car.
'He took up the gauntlet thrown up by his colleagues' means that he ________________their challenge.
We must distinguish the good from _____________ bad.
Gandhiji is _____ the father of the ________________ Nation.
In large cities people are cut ____ from nature.
Hope _____________ the best and prepare for the worst.
The active voice of 'A most enjoyable time was had by everybody' may be 'Everybody ___________ a most enjoyable time'.
He is interior _________ me.
Read the passage below and choose the correct answer for the questions.
Surveillance has increased manifold since the 9/11 terror attacks on the world Trade Centre in the U.S. This increase in Surveillance today shape the relationship between the state and the individual. The state keeps an eye on it citizens thereby positing each and every citizen as a potential wrong-doer. For instance the proliferation of the CCTV cameras in streets, restaurant and in every imaginable public space has now become an order of increased vigilance. In fact, the camera need not even be functional in order to make the citizens behave themselves - its mere presence is enough to scare the citizens into submission. Such is the power of the mere potential of Surveillance.
Surveillance studies have shown that these techniques might not be too effective at all time , citizens might feign decent behavior in order to avoid themselves from getting into a tussle with the law of the land. But it does not assure the state of reformation in the attitude of the citizens. It is a mere eye-wash. It works only ,when the citizen truly desires to transform his or her attitude and adopt decency in all walks of life.
The act of constant Surveillance makes the state a voyeur - a person who derives pleasure from watching event unfold in a secretive manner. A recent case in point would be the raid on a hotel in the so-called cosmopolitan city of Mumbai where young couples were consensually residing. The state has today entered the bed-room. And this is an unhealthy proposition.
Who is shaping the relationship of the state and the individual according to the passage?
Identify the word that comes close to the meaning of the word "Proliferation" found in the first paragraph
Even the potential of surveillance is carried out
" .... citizens might feign decent behaviour .... " could mean:
"It is mere eye-wash." What is the idiomatic implication for the theme of surveillance of the passage7
Read the passage below and choose the correct answer for the questions.
Today's world can truly be called a "society of spectacle". a phrase that the French sociologist and thinker Guy de Bord used decades earlier. Every act of lived experience has today become a spectacle. It would be a little incorrect to say that this craze for spectacle-izing everything that occurs around us is a recent phenomenon. If one had watched the Pirate of the Caribbean movies, one would realize that even in the late eighteenth century, executions were public events - a large portion of the populace would gather around the site of the hanging in the city square in order to see justice being meted out in front of their very own eyes. It was also a form of popular entertainment. It was a sort of a collective public blood-letting.
The spectacle that the contemporary society has become an overwhelming experience. One enters into a restaurant, orders an exotic dish - but the proof of having eaten the same doesn't exist until tons of photograph are clicked from varied angles and shared on social networking sites. One goes for a holiday to a calm and serene location, but is all the while busy telling the world about it as if one has to document every movement of one's existence. When dose one live that moment then? Perhaps it is in the documentation that one survives these days!
What is the implication of the phrase coined by "society of the spectacle" by the French sociologist and thinker. Guy de Bord?
What is the recent phenomenon of society that has become a craze for it?
According to the passage, these days proof of having eaten exists in
The author of the passage brings a parallel to the theme of collective enjoyment by referring to a film. What is the parallel?
According to the passage what is given priority by the contemporary society?
Read the passage below and choose the correct answer for the questions.
The Odisha government on Thursday started evacuating people from low - lying areas in several coastal districts to safer places as cyclone Fani is likely to hit the State's coast in Puri district on Friday evening.
As the sky remained overcast since morning, light rain has begun in many areas in the coastal belt. More than eight lakh people were to be brought to cyclone shelters and other safer places by this evening, according to official . Adequate arrangements have been made at the cyclone shelter. The India Meteorological Department has predicted that Fani will make landfall at around 5.30 p.m on Friday, wind speeds at 170-180 kmph gusting to 200 kmph, accompanied by tidal surge of about 1.5 metres.
As many as 25 terms of the National Disaster Response Force (NDRF). Odisha Disaster Rapid Action Force (ODRAF) along With State fire service personnel have been engaged in the evacuation exercise. Defence forces are on high alert to meet any eventuality.
The East Cost Railway has announced to run at least three special trains from Puri to West Bengal during the day. ore than 80 trains had been cancelled between Bhadrak and Vizianagararn stations on Thursday. 14 distiicts in Odisha hich are likely to be affected by the cyclone are Ganjam, Gajapati, Puri, Khurda, Nayagarh, Cuttack, Dhenkanal Jagatsinghpur, Kendrapara Jajpur, Keonjhar, Bhadrak, Balasore and Mayurbhanj.
Chief Minister Naveen Patnaik on Thursday appealed to the people to not panic, and cooperate with the administration in handling the situation. Stating that the State government was fully ready to tackle the situation. Mr. Patnaik emphasized the need to pay special attention to women, children, elderly and people with disabilities during the cyclone. The Chief Minister met the telecom operators at the State Secretariat this morning and reviewed their preparedness to maintain communication link during the cyclone. Mr. Patnaik also held one-on-one talks with Secretaries of line departments, regarding their preparedness.
Which of the following statements sums up what the passage is primarily a bout?
The passage does not refer to preparedness with respect to ___________
According to this passage how many persons have been moved to safer places?
Which of the following departments did the Chief Minister peak to directly?
From the style of the passage, it can be inferred that it is a, _____________.
Read the passage below and choose the correct answer for the questions.
Every time someone mails a letter or hands over a currency note in India, every time an Indian bureaucrat stamps a document with an official seal, they are handling a symbol that dates back over 2,000 years: four lions sculpted in stone, one facing in each direction. The man who created this potent and enduring icon is a towering mysterious figure in India s history, a king from the third century BC whose ideas - above all, that a ruler must accept the diversity of his subjects' beliefs - were long forgotten but returned to inspire the modern day Indian state.
We know that today by the name Ashoka, to look at he was unprepossessing - a bit of a lens - breaker, as they say in Bollywood: short, fat and famously afflicted by bad skin. Yet he was a lucky man too, known in his lifetime as devanampiya, 'beloved of the gods'. He transformed what was still a nascent sect - Buddhism - into a world religion, transmitting its ethical vision across the subcontinent and the rest of Asia. And, most unusually for a royal- in any country at the time or since he spread his ideas not through violence, but through moral force and persuasion.
The symbol the first paragraph describes is that of
The most important idea the modern Indian state has taken from Ahoka is ____________
The word 'unprepossessing' means
In the spread of Buddhism, Ashoka used _____________ force.
Identify the wrong statement a bout Ashoka.
For the following questions answer them individually
If $$2^{x+l} + 3^{Y} = 59$$ and $$2^{x + 3} + 3^{y + 1} = 209$$, then the length of the hypotenuse of the right - angle triangle having $$x$$ and y as sides is
If $$a^{x} = b^{y} = c^{z} = a^{w}$$ and $$abc = d^{3}$$ then the harmonic mean of $$x,y$$ and z is
If $$25x^{2} + 58y^{2} + 16z^{2} = 30xy + 56yz$$, then x : y : z =
If $$x : y = 3 : 7$$ and $$x + y = 80$$ then $$x + 6 : y + 4$$ =
If a and b are two non-zero unequal numbers, then
$$\frac{(a-b)(\sqrt{a} - \sqrt{b})}{(a + b)(\sqrt{a} + \sqrt{b})}$$
$$\sqrt{5+2\sqrt{6}} + \sqrt{8 - 2\sqrt{15}}$$ =
The nmnber of positive divisors of 13! is
If the ten digit number 235a43b316 is divisible by 9 and a - b = 5 then the ordered pair (a, b) =
The greatest common divisor of the numbers $$a = 15^{3} · 12^{4}$$ and $$b = 15^{4} · 12^{3}$$ is
If an aluminium ware of length 8 m 96 cm; and a copper wire of 5 m 12 cm are cut into pieces of equal length 'l' cm, then the maximum possible value of 'l' is
In the decimal representation of $$\frac{5}{22}$$ the digit at the $$27^{th}$$ decimal place is
If a is the reciprocal of the sum of the reciprocals of $$\frac{5}{3}$$ and $$\frac{7}{5}$$; and is half of the reciprocal of 23 then $$\frac{a}{5b}$$ =
If $$a_{1}, a_{2}, a_{3}$$ and $$a_{4}$$ is the decreasing order of the elements in the set
$$\left\{ \frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{20}\right\}$$ then $$a_{2} + a_{3}$$ =
If $$x = \sqrt{23}, y = \sqrt[3]{29}$$ and $$z = \sqrt[4]{23}$$, then
If 8% of a property is worth Rs. 1.76 lakhs, then the worth of the whole property (in lakh of rupees) is
For a fraction if the numerator is increased by 20% and the denominator decreased by 20% we get $$\frac{4}{7}$$. Then the original fraction is
After two successive discounts of 10% each on the marked price of an item if a person bought it for Rs .810/-, then the marked (in rupees) of the item is
An article when sold at 5% profit yields Rs. 15 more than when it is old at a loss of 10%. The cost price (in rupees) of the article is
A and B enter into a partnership investing capitals in the ratio 3 : 4. At the end of the three months A has withdrawn and B continued for some time. If the profits are shared in the ratio 1 : 4 at the end of the business. the number of month B continued the busines is
A person P started a business and after 6 months Q joined him with an investment equal to one-third of P. The share of Q (in Rs.) in the year-end profit of R. 3,50,000/- is
Pipe P and Q can fill an empty tank individually in 9 hours and 12 hour respectively. If these are opened alternately every hour, starting with P, the pipe that fills the tank finally and the total time taken are given by
Tap A and B take 6 hours and 8 hours respectively to fill an empty tank and another tap C empties the full tank in $$x$$ hours. Due to a problem, tap C could not be closed. If it took 12 hour for them to fill the tank, then the value of $$x$$ is
Three trains A, B and C moving with respective speeds $$S_{1} S_{2}$$ and $$S_{3}$$ kmph take $$t_{1}, t_{2}$$ and $$t_{3}$$ hours respectively to cover a distance of $$x$$ km. If $$S_{1} : S_{2} : S_{3} = 3 : 4 : 5$$ , then $$t_{1} : t_{2} : t_{3}$$ =
A train takes 40 minutes to cover a distance of 60 km. If its speed is reduced by 15 kmph, then the time it takes (in minutes) to cover the same distance is
A person P is 3 time more efficient than another per on Q in doing a job. If Q alone needs 60 hours to complete the work then the time (in hours) required for P and Q together to complete it is
lt A, B and C can complete a work indidually in 20 days, 15 days and 12 days, respectively. A and C started the work together and left it after 4 days. The number of days needed for B to complete the remaining work is
In a right angled isosceles triangle the length of its hypotenuse is 12 cm. If the area of the triangle i a sq.cm, then the number of distinct prime divisors of the number a is
The maximum possible length (in meter) of the rod that can be placed in a rectangular field of area 120 sq. m, and having perimeter 46 m, is
If the volume of a sphere of radius 'r' i equal to the volume of a cylinder whose base radius is $$\frac{r}{2}$$ and heighth, then h =
The volume (in cubic cm) of the metal required to manufacture a hollow pipe of 56 cm length 4 cm thickness and whose outer perimeter is 440 cm is
If a copper solid sphere of radius 3 cm is melted and drawn into a wire of diameter 0.2 cm, then the length (in meters) of the ,wire is
A cube has a side of a cm. If its side is increased by 5%, then the percentage increase in its lateral surface area is
The length breadth and height of a room are 4 m, 3 m and 5 m respectively. The cost (in Rs.) of painting the 4 walls of the roof and its roof at the rate of Rs. 40 per sq. m. is
If a positive integer n divides a - b where a and b are integers then we write a $$\equiv$$ b (mod n ). The number of primes p with 2 $$\leq$$ p &lt; 100 and p $$\equiv$$ 5 (mod 7 ) is
The ramainder obtained when $$3^{58}$$ is divided by 28 is
If p , q are two statements, then $$p \rightarrow (p \rightarrow (p \rightarrow q))$$ is equivalent to
If a set A has 6 elements, then the number of reflexive relations that can be defined on A is
The intercept made by the line passing through the points (3, -5) and (7, 1) on the y - axis is
$$\tan \left(\frac{-23\pi}{4}\right)$$ =
The angles of elevation of the top of a tower of height 80 when observed from two points A, B on the level ground which are on either side of the tower and collinear with the foot of the tower are respectively $$30^{\circ}$$ and $$45^{\circ}$$ then the distance between A and B in meters) is
If $$x - 17$$ is a factor of the polynominal $$p(x)$$ then a factor of $$p( 4x + 1)$$is
In an arithmatic progression the stun of the first 21 tenns is 1470, then the $$11^{th}$$ term of that progression is
$$\lim_{x \rightarrow 1}\frac{x^3 - 3x^2 + 5x - 3}{x^2 + 4x - 5}=$$
The term independant of $$x$$ in the expansion of $$(\frac{4}{x} - 3x^{3})^{8}$$ is
The area of the circle (in sq. cm) that can be inscribed in an equilateral triangle of area $$16\sqrt{3} cm^{2}$$ is
If the arithmetic mean of 15, 21, 17, $$x$$, 19, 24, 45,37 is 29, then $$x$$ =
If the arithmetic mean of the first n natural number is 191 , then the sum of the digits in n is
The median of the following data is:
If the mode and the median of a data are 75 and 69 respectively, then the mean of the data is
The standard deviation of the natural numbers
101 , 103 , 105 , ... , 197 is
If $$x_{1} , x_{2} , ... , x_{20}$$ are observations in a data whose mean is 4 and variance is 9, then
$$\sum_{i=1}^{20}x_{i}(x_{i}+1)$$=
When 3 fair dice are thrown at random, the probability of getting different numbers on them is
If a fair coin is tossed six times, the probability of getting exactly 4 consecutive heads is
If 3 boys and 4 girls sit in a row at random, then the probability that all boys sit together is
If two cards are drawn at random from a well shuffled pack of 52 cards, then the probability that both are not spade cards is
