If p and q are integers is $$p > q$$?
I. $$\frac{p}{6} = \frac{q}{3}$$
II. p is a multiple of q.
AP ICET 2017 Question Paper
In questions numbered 1 to 20. a question is followed by data in the form of two statements labelled as I and Il. You must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from (a) to (d) as per the following guidelines:
What is the value of p?
I. p is a prime number
II. p is an even natural number
What is the perimeter of the triangle ABC?
I. $$x = 45^\circ$$
II. The area of the triangle is 18 sq.cm
Is the natural number m even?
I. m is a multiple of an odd natural number
II. m is the LCM of two odd natural numbers
Is the positive integer n a prime?
I. The number of positive divisors of n$$^2$$ is 3.
II. n is a divisor of 1155.
If a and b are real numbers.is their product ab negative?
I. 5|a| + 3|b| =0
Il. 5|a| = 3|b|
What is the value of 119x + 247y?
I. 119x + 246y = 482
II. xis greater than y by 2.
Does the point P (a, b) lie in the first quadrant?
I. $$a + b \geq 2$$
II. $$ab < -2$$
What is the cost price of the pen?
I. If it is sold for Rs. x + 2. the profit will be 5%.
II. Itis sold for Rs. x at a loss of 5%.
Is $$(x^3 + y^3)^ \frac{1}{3} $$ an integer
I. $$x^3 + y^3$$ is a multiple of 125
II. $$x^3 + y^3$$ is equal to the volume of the cuboid whose dimensions are 16 cm. 125 cm and 27 cm
If a is the average of the numbers 1. 2, 3 and x. then what is the value of a?
I. $$x = \frac{1}{2}(6a - x)$$
II. x is an integer.
Is the product of the integers a. b and c equals to 1?
I. $$a > 0, b > 0, c > 0$$
II. $$a + b + c = 3$$
Whatis the value of $$\frac{a^2}{b^2} + \frac{b^2}{c^2}$$?
I. $$a = 2c$$
II. $$\frac{a}{b} + \frac{b}{c} = 8$$
How many cylinders each with a radius 2" and height 6” can fit into the rectangular box?
I. The volume of the box is 230 cubic inches.
II. The length of the box is 3".
In the diagram given. $$\angle ABC = 90^\circ$$. Then what is the value of z?
I.The value of y is three times the value of z.
II.The value of x is half that of z.
A.B and C are digits between 0 and 9 inclusive. Then what is the value of B?
II. A = 1
If a, b. c and d are integers. is the sum ab + cd an odd integer?
I.a and c are both even integers.
II.b is an even integer and d is an odd integer.
If $$a, b, m$$ and $$n$$ are distinct positive integers such that $$a^m = b^n$$, then what is the value of $$a + b + m + n$$
I. Each of $$a, b, m$$ and $$n$$ is less than 10.
II. $$b^n = 81.$$
With reference to the given figure, what is the value of c + d?
I. $$b + f = 80$$
II. $$a + b = 110$$
If $$x$$ and $$y$$ are both integers and their product $$xy < 0$$. what is the difference between $$x$$ and $$y$$?
I. $$x + y = 2$$
II. $$-3 < x < y$$
In each of the questions 21 to 30 an analogy with twostrings of numbersorletters or both are given following a definite pattern on the left. Identifying this pattern, you have to fill the blank space on the other side analogously from amongthe four options given.
4:80::5: ......
DIME: EHOC:: RING:
AXE: EYI:: GEL:
KUWR: OYAV:: : HJPQ
5 : 100 :: 10 : ........
64:100::72: ..........
2:0.25::5: ..........
BRF: AOK :: TSM:
AJE:EKI::ISO
AUNTY : CSPRA :: UNCLE:
In the following questions Pick the odd thing out
In each of the questions a sequence of numbers or letters or words or strings of 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.
6, 11, 27, 51, ............
7, 26, 124, 342, .........
2, 3, 4, 6, 6, 9, 8, 12, 10, ...........
$$\frac{2}{3}, \frac{3}{4}, \frac{5}{6}, \frac{7}{8}, ......$$
0, 5, 8, 17, 24, ...........
24, 60, 120, 210, ........
1, 8, 22, 50, 106, ...........
2, 3, 6, 11, 18, .....
10, 30, 130, 350, ........
7, 8, 6, 9, 5, 10, 4, ...........
In the following table. the distribution of marks obtained by 100 students in two papers in mathematics is given. Study this table and answer the questions
How many students scored less than 40% marks in aggregate?
The approximate percentage of students that obtained 60%and above in paper II. over the numberof students that obtained 40% and above in aggregate in that paper.is
Howmanystudents will pass. if there is a compulsory passing minimum of 40% marks in paperI only?
In the following pie chart. people in the various age groups of a town are given. The total population of the town is 3.00.000. Study this pie chart and answer the questions.
People of 40-60 years age group are less than those in 25-40 years age group by
What percentage of the total population in the numberof people in the age group of less than 10 years
The difference between the numberofpeople of the minimumage group and maximum age group of that townis
The ratio of the people in the age group of 40-60 years to that of those less than 10 years is
The people in the age group of 10-25 years and those in 40-60 years together constitute a total population of
The number of students who play some or all the three games: Tennis, Basket ball and Hockey of a class is shown in the following table. Based on this information answer the questions.
The numberof students who play only tennis, is
The numberof students who play only Basket ball and only Hockey,is
In a certain code, every $$n^{th}$$ letter in the English alphabet is coded as $$r^{th}$$ letter where r is the remainder when $$5n + 7$$ is divided by 26 and $$1 \leq r \leq 26$$. For example, the $$10^{th}$$ letter J is coded as $$5^{th}$$ letter E, since $$(5 \times 10) + 7 = 57 = (2 \times 26) + 5$$. For decoding the reverse process is followed. Based on this answer the questions.
The code for ‘MONKEY’is
In the given code. the numberofletters which are coded as themselves is
In the given code, the numberof letters which are coded as immediate nextletter in the alphabet is
Which wordis coded as “VDTZYP’?
‘MISERY’ts coded as
For the following questions answer them individually
In a code language.if ‘tee see pee” means ‘drink fruit juice’, ‘see kee lee’ means ‘juice
is sweet’ and ‘lee ree mee’ means ‘ heis intelligent’. which word in that language
means ‘sweet’
In a certain code language "pit nae tom” means ‘apple is green’. ‘nae ho tap’ means ‘green and white’ and ‘ho tom ka’ means ‘shirt is white’. Then which one of the following represents ‘apple’ in that language
If ‘nitco sco tingo’ stands for ‘softer than flower’, ‘tingo sho mst’ stands for ‘ sweet flower fragrance’ and ‘mst sco tmp’ stands for 'sweet than smile’, then what would ‘fragrance’ stand for?
In a certain code language. “when did you come’ is written as ‘ti na ki ja’ ‘will you come again’ is written as ‘na pa sa ja’ and ‘she will go’ is written as ‘pa da ra’. Then how will ‘again’ be written in that code language?
In a certain code language ‘singing is appreciable’ is written as ‘cod tip mot’. ‘dancing is good’ is written as ‘mot nik min’ and ‘singing and dancing’ is written as ‘tip mop nik’. Howis ‘good’ written in that code language
If $$20^{th}$$ March 1995 was Monday, what was the day on $$15^{th}$$ August 1994?
The time when the hours hand and minutes hand in a clock coincide between 3 PM and 4 PM is
A clock is set right at 5:00 AM. This clock loses 16 minutes in 24 hours. If the clock shows 10:00 PM on the $$4^{th}$$ day. the true time then was
If A $$\times$$ B means B is the father of A,
A $$+$$ B means A is the wife of B,
A $$\div$$ B means A is the brother of B,
then the relation of $$J$$ with $$J + M \div R \times L$$ is
In covering a certain distance. the speeds of A and B are inthe ratio 3:4. If A arrives at the destination 20 minutes later than B. the time (in hours) taken by A to arrive at the destinationis
A man walks at the rate of 5 kmph and arrives at the station 7 minutes after the departure of the train. If he walks at the rate of 6 kmph. he arrives at the station in 5 minute before the departure of the train. The distance (in km) he covered to reach the station is
Five persons A, B, C, D, E are sitting in a circle facing the centre. C is sitting second to the left of A. D is sitting to the immediate left of B. E is immediate neighbour of neither D nor B. Who is sitting to the immediate left of D?
For non zero real numbers a and b, define $$a \times b = \frac{1}{a} + \frac{1}{b}$$. Then $$\sum_{k = 1}^{10}\left(1\times \frac{1}{k}\right) =$$
If a $$\triangle b = a^2 + b^2 - 3 ab$$ for any real numbers a and b, then $$\left\{1 \triangle (-1)\right\} \triangle \left\{\sqrt{2} \triangle \sqrt{2}\right\} =$$
$$E \downarrow F = (E + F) + (E - F)^2; E \uparrow F = (E + F)^2 - (E - F)^2 \Rightarrow (1 \downarrow 2) \downarrow (2 \uparrow 3) =$$
$$X = \frac{a - b}{a + b}, Y = \frac{b - c}{b + c}, Z = \frac{c - a}{c + a} \Rightarrow \frac{1 + x}{1 - x}.\frac{1 + y}{1 - y}.\frac{1 + z}{1 - z} =$$
$$x^x \sqrt[n]{x} = (x\sqrt[n]{x})^x \Rightarrow x =$$
If $$a^3 + b^3 + c^3 = 8072, a : b = b : c = 3 : 2$$ then the value of a is
Solution
Let b=6m Then a=9m and c=4m
$$a^3+b^3+c^3=8072$$
$$\left(9m\right)^3+\left(6m\right)^3+\left(4m\right)^3=8072$$
$$729m^3+216m^3+64m^3=8072$$
$$1009m^3=8072\ or\ m^3=8\ or\ m=2$$
Now a=9m or a=18
The cube root of a is inversely proportional to the square of b. if $$a = 8$$ when $$b = 3$$ then the value of a when $$b = \frac{3}{2}$$ is
Taking $$\sqrt{5} = 2.2360$$ the value of $$\frac{\sqrt{3 - \sqrt{5}}}{\sqrt{2} + \sqrt{7 - 3\sqrt{5}}} = $$
For $$a \geq 4, \sqrt{3(a - 1) + 2\sqrt{2a^2 - 7a - 4}} =$$
The greater power of 2 dividing 2400 is
Solution
$$2400=2^5\times\ 3\times\ 5^2$$
$$\therefore\ $$ The greatest power of 2 that can divide 2400 is 5.
Hence, the correct answer is Option DIf $$100 \leq n \leq 999$$ and n leaves remainders 1 and 3 respectively when divided by 3 and 8 then the maximum value of n is
To run around a track A, B and C respectively take 27, 36 and 45 seconds. All of them start simultaneously at a point P on the track. The number of rounds made by C when all of them meet next at P is
Solution
LCM of 27,36 and 45 seconds is 540 seconds.
All of them will meet at P for every 540 seconds.
$$\therefore\ $$The number of rounds made by C when all of them meet next at P = $$\frac{540}{45}$$ = 12
The greatest commondivisior and the least common multiple of two numbers are 21 and 4641. If one of the numberlies between 250 and 300 thenthe other numberis
$$\left(1 - \frac{1}{5}\right)\left(1 - \frac{1}{6}\right)\left(1 - \frac{1}{7}\right) ......... \left(1 - \frac{1}{200}\right) =$$
The rational number given by $$0.1\overline{36}$$ is
Solution
y=0.1363636.....
10y=1.363636...
1000y=136.3636....
Subtracting both of them we get
990y=135 or y=135/990 or y=3/22 (dividing the numerator and denominator by 45)
If $$a_1, a_2, a_3$$, and $$a_4$$ is the decreasing order of the elements in $$\left\{\frac{2}{7}, \frac{7}{15}, \frac{5}{8}, \frac{9}{23}\right\}$$ then $$a_1 - a_4 =$$
If the numbers 169, 248, 416, 479, 175, 621 and 532 are arranged in descending order based on the sum of the digits in each one of them, the middle number is
If the income tax is reduced from 15% to 12.5% then the tax benefit (in rupees) for a person whose taxable income is Rs. 98,000/- is
Solution
Tax benefit% = 15 - 12.5 = 2.5%
Taxable income = Rs. 98,000
Tax benefit = 2.5% of 98000 = $$\frac{2.5}{100}\times98000$$ = Rs. 2450
Hence his tax benefit will be 2450 rupees
In a direct contest one of the candidates has polled 35%of the total votes polled but loses by 540 votes. then the total no,of votes polled is
Solution
Let the total number of votes polled be "x". So the candidate got 0.35 x votes. His opponent got 0.65x votes
The difference in votes is 0.3x=540 or x=1800
Hence total votes polled is 1800
If the cost price of 10 articles is equal to the selling price of 9 articles then the profit percentage is
Solution
CP of 10 articles = SP of 9 articles
CP of 1 article= SP of 9/10 article
Let the SP of 1 article be "m". Hence the CP of 1 article is 9m/10
Profit percentage=$$\frac{m-\frac{9m}{10}}{\frac{9m}{10}}\times\ 100=\frac{\frac{m}{10}}{\frac{9m}{10}}\times\ 100=\frac{100}{9}\%$$
The cost price of the article which fetched a profit of 12.5% byselling it for Rs. 990/- is
Solution
Let the cost price of the article be "m"
Profit percentage is 12.5% and selling price is 990
Hence m(1.125)=990 or m=990/1.125=880
Hence CP=880
A and B started a business investing Rs. 3.5 lakhs and Rs. 6.5 lakhs respectively. After 6 months A left the business while C joined B with an investment of Rs. 7.5 lakhs in the year end profit of Rs. 2.4 lakhs. the share of C (in lakhs of Rs) is
A, B and C start a business with capitals in the ratio 6 : 4 : 3. After four months A withdraws half of his capital. If the year end profit is Rs. 13,200/- then the share of A (in Rupees) in the profit is
Two taps can fill a water tank individually in 10 min and 12 min. Due to a leakage 5 lit of water is drained every minute. If both the taps are opened the empty tank can be filled in 7.5 min, then the capacity of the tank (in liters)
Two taps A and B canfill a tank in 6 hours and 8 hours respectively. If they are opened alternatively every hour one after the other. starting with tap B then the time (in hours) needed to fill the tank is
A passenger train moving at 36 m/sec crosses a person walking in the opposite direction with a speed of 4 m/sec in 10 seconds. The length (in meters) of the train is
Solution
Relative speed of the person with respect to train = 36 + 4 = 40 m/sec
Time = 10 sec
$$\therefore\ $$Length of the train = Distance covered = Speed x Time = 40 x 10 = 400 m
A person is running at a speed of 10 kmphandafter a run of every one kilometer he takes rest for 5 minutes. The time (in minutes) taken by the person to covera distance of 5 kmsis
If $$\frac{4}{7}th$$ of a work is completed in $$\frac{7}{4}$$ days the number of days to complete the rest of the work is
A piece of work can be completed by A. B and C independently in 15 hours. 12 hours. and 10 hours respectively. A and B started the work. and after 4 hours C joined them and completed the work. The time (in minutes) C worked is
The radius (in feet) of the circle that circumscribes a rectangle whose length is 12 feet and has an area of 60 square feet, is
A wire in the formof a circle with a diameter 42 cms is bent to form a rectangle whose sides are in the ratio 6 : 5. The area (in sq.cms) of the triangle whose sides are the length. the breadth and the diagonal of the rectangle. is
The radius (in units) of the sphere whose surface area and volume are numerically equalis
Solution
Surface area of the sphere= $$4\pi\ r^2$$
Volume of the sphere= $$\frac{4}{3}\pi\ r^3$$
Hence $$\frac{4}{3}\pi\ r^3=4\pi\ r^2\ or\ r=3$$
A solid copper sphere of radius 3 cms is melted to make a wire of diameter 0.2 cms. The length of wire is
A door is in the shape of a rectangle of dimensions 10’ X 7', with a semicircle on its smaller side the circumference (in feet) of the door is (Take $$\pi = \frac{22}{7}$$)
The perimeter ( in cms) of a rhombus whose diagonals are 40 cms and 30 cmsis
Solution
Applying Appolohnius theorem on the rhombus, let each side of the rhombus be "a".
$$a^2+a^2=2\left(20^2+15^2\right)$$
$$2a^2=2\left(625\right)\ or\ a^2=625\ or\ a=25$$
The length of a side is 25cm. Hence perimeter of the rhombus is 100cm.
If two cubes of sides 15 cms eachare joined together to form a cuboid then the surface area (in sq. cms) of the cuboid is
The number466 in the decimal systemis written in septal system as
The largest integer k < 1110 that leaves the remainder 10 whendivided by 11 is
If p, q are statements then $$\sim (p \leftrightarrow q)$$ is equivalent to
If p and q are two statements then the statement $$(p \wedge (\sim q)) \wedge ((\sim p) \wedge q)$$ is a/an
On the set $$A = \left\{a, b, c \right\}$$ the relation $$R = \left\{(a, b), (b , a), (a, a)\right\}$$ is
If A and B are two sets with 5 and 4 elements respectively, then the number of injective mappings from A to B is
If $$E \subseteq R$$ is the maximum possible set on which $$f(x) = \sqrt{x + 2} + \frac{1}{\log_{10}(1 - x)}$$ is defined for $$x \epsilon E$$, then $$E =$$
If the intercept between the axes of a line has mid-point at (1, 2) then the equation of the line is
The equation of the line through the point of intersection of the lines $$2x + 5y = 9$$ and $$x - 3y = 1$$ and whose distance from the origin is $$\sqrt{5}$$ units is
$$\sin 210^\circ + \tan 855^\circ + \tan 45^\circ =$$
If tan $$30^\circ$$ and tan $$15^\circ$$ are the roots of the equation $$x^2 + px + q = 0$$ then $$2 + q - p =$$
$$u = \frac{1 + \sin \theta}{\cos \theta} \Rightarrow u + \frac{1}{u} =$$
A kite is flying with a string inclined at $$30^\circ$$ to the horizontal. The height of the kite (in meters) when the string is 15 m long is
$$x + \frac{1}{x} = 5 \Rightarrow x^4 + \frac{1}{x^4} =$$
The remainder when $$3x^4 + 16x^3 + 4x^2 + 2x + 5$$ is divided by $$2x - 1$$ is
If a polynomial leaves remainder -7 and 5 respectively when it is divided by x - 5 and x + 3 then the remainder when the same polynomial is divided by $$x^2 - 2x + 15$$ is
If $$x^2 + x - 2$$ is a factor of the polynomial $$x^4 + 3x^3 + ax^2 + bx +16$$ then the ordered pair (a, b) =
$$\frac{6}{a} + \frac{15}{b} = 8, \frac{10}{a} - \frac{9}{b} = 2 \Rightarrow a^2 + b^2 =$$
The number of solutions of the system 3x — 4y = 3 and 9x — 12y = 91s
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 is 57, 59. 61....., then n=
If the common ratio of a geometric progression is $$\frac{3}{7}$$ and its sum to infinite terms is 133 then the first term of the geometric progression is
$$(1 + x + x^2)^n = \sum_{k = 0}^{2n} a_kx^k \Rightarrow \sum_{k = 1}^n a_{2k - 1} =$$
If the coefficients of $$x^7$$ and $$x^8$$ are equal in the binomial expansion of $$(3 + \frac{x}{2})^n$$ then $$n =$$
If $$\alpha$$ is an integer, $$A = \begin{bmatrix}\alpha^2 & 5 \\5 & -\alpha \end{bmatrix}$$ and $$\mid A \mid^{10} = 1024$$ then $$\alpha =$$
$$A_x = \begin{bmatrix}\sin x & -\cos x \\\cos x & \sin x \end{bmatrix} \Rightarrow \sin x.A_x + \cos x.A_{\left(\frac{\pi}{2} + x\right)} =$$
$$\lim_{x \rightarrow a}\frac{(\sqrt{3x - a} - \sqrt{(x + a)})}{(x - a)} =$$
$$y = \cot^{-1}\left(\frac{1 - 3x^2}{3x - x^3}\right) \Rightarrow \frac{dy}{dx} =$$
The hypotenuse (in cms) of a right angle triangle whosesides are in the ratio 3:4 and having area 24 sq.cmsis
Solution
Let the two sides be 3x and 4x. By Pythagoras' theorem, we get hypotenuse as 5x.
Now, Area of triangle = 0.5*3x*4x = 6x*x = 24 sq cm
Hence, x = 2 and thus, hypotenuse = 10 cm
If the two diagonals of a parallelogram are equal and perpendicular bisectors of each other then it is a
Solution
The diagonals of a parallelogram can be equal only if it is a square or rectangle.
The diagonals of a parallelogram can be perpendicular bisectors of each only if it is a square or a rhombus.
The only common feature in both the conditions is a squre.
Hence, the answer.
If O is the center of a circle on which A, B and C are three points; and if $$\angle BOC = 100^\circ$$ then $$\angle ABC + \angle ACB =$$
Solution
For ease of determination, make A and B ends of a diameter of a circle. This makes triangle ACB a right angled triangle and hence angle ACB becomes = 90 degrees.
Now, in isosceles triangle BOC, OB = OC (radii of same circle) and angle BOC = 100 degrees.
Hence, angles OBC and OCB = 40 degrees each. Hence, this also makes angle ABC = 40 degrees.
Hence, sum of the two required angles = 90+40 = 130 degrees.
The triangle with vertices at (0, 0), (2, 2) and (0, 4) is
Solution
If you plot the points roughly on a graph and drop a perpendicular from (2,2) on the side joining (0,0) and (0,4), it can be seen that the point (2,2) lies equidistant from the other two vertices.
Also, Pythagoras' theorem gets satisfied for the given triangles.
Hence, the triangle is an isosceles right angled triangle.
If $$(\alpha, \beta)$$ and $$(\gamma, \delta)$$ are respectively the points which divide the line joining(7, -5) and (-2, 6) in the ratios 1 : 2 and 2 : 1 then $$\alpha + \gamma - \beta - \delta =$$
The arithmetic mean of 100 observations is 10. Of these the arithmetic mean of the first 25 observations is 12 while that of the last 65 is 9. The arithmetic mean of the remaining 10 observationsis
Solution
Sum of all the 100 observations = 1000
Sum of the first 25 observations = 25*12 = 300
Sum of the last 65 observations = 65*9 = 585
Hence, the sum of the 10 observations between these 2 groups = 1000-300-585 = 115
Hence, the mean of these 10 observations = 115/10 = 11.5
The mean deviation about the median of the observations 3, 5, 6, 5, 8, 5, 4, 8, 7 and 9 is
Solution
Arrange the data in ascending order:
3,4,5,5,5,6,7,8,8,9
The median for this data = (5+6)/2 = 5.5
Now, mean deviation of data from median is given by: $$\Sigma\ \frac{\left|X-M\right|}{N}$$
where, X = Observation, M = Median, N = Number of observations
Summing up the deviations, we get: Numerator = 2.5+1.5+0.5+0.5+0.5+0.5+1.5+2.5+2.5+3.5 = 16
Number of observations = N = 10, hence, answer is 1.6
If 17 and 20 are respectively the median and the mean of a distribution then its mode is
Solution
Given, Median = 17 and Mean = 20
This can be found out by Pearson's formula which says Mode = 3Median - 2Mean
$$\Rightarrow$$ Mode = 3(17) - 2(20)
$$\Rightarrow$$ Mode = 51 - 40
$$\Rightarrow$$ Mode = 11
The variance of the distribution given below is
The quartile deviation of 15, 60, 40, 72, 50, 28 and 30 is
Solution
First of all, arrange the data in ascending order.
15,28,30,40,50,60,72
Quartile Deviation is given by (Q3-Q1)/2 , where
Q1 = (n+1)/4 = 2nd term i.e. 28
Q3 = 3*(n+1)/4 = 6th term i.e. 60
Put the values and answer obtained is 16
If the sum of the squares of the deviations in 9 observations is 5 then the coefficient of rank correlation of them is
If A and B are independent events such that P(A) = 0.9 and P(B) = 0.8 then $$p(A \cap \overline{B}) + P(\overline{A} \cap B) =$$
Solution
p(A) = 0.9 hence, p($$\overline{\ A}$$) = 0.1
p(B) = 0.8 hence, p($$\overline{\ B}$$) = 0.2
Now, p($$A\ intersetion\overline{\ B}$$) = p(A)*p($$\overline{\ B}$$) = 0.18
Alos, p($$\overline{\ A}\ intersetion\ B$$) = p($$\overline{\ A}$$)*p(B) = 0.08
Hence, the sum of the two terms = 0.26
The probability of getting the sum 7 when two dice are thrown simultaneously is
Solution
Total cases when 2 dice are thrown together = 36
Cases when sum is 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. 6
Hence, probability = 6/36 = 1/6
A natural numberis chosen at randomfromthe first hundred numbers. The probability that the numberis divisible by 3 or 5 is
Solution
Total multiples of 3 in the first 100 natural numbers: 33..... (A)
Total multiples of 5 in the first 100 natural numbers: 20..... (B)
The total numbers upto 100 which are divisible by either 3 or 5 = A + B - Common numbers in set A and B
The common numbers will be 15, 30, 45, 60, 75, 90 i.e. total of 6 such numbers.
Hence, the desired answer = 53-6 = 47
Hence, the probability of selecting a number from 1 to 100 which is divisible by either 3 or 5 = 47/100
Three balls are drawn at random from a box contaming 9 red and 6 white balls. The probability that one ball drawnis red and the others are white is
Solution
The ways in which this can happen when we pick a ball at a time from the sack is:
RWW, WRW, WWR
The probability of the first case = (9/15)*(6/14)*(5/13) = 9/91
Similarly, the probability of the second and third cases will also be equal to 9/91
Hence, the final probability for the desired result = 3*(9/91) = 27/91
Choose the correct meaning of the word given:
addendum
effigy
immaculate
pandemonium
embezzlement
hierarchy
Fill the Blank choosing the correct word
One whois well versed in many languagesis a
The arguments in the essay could not be followed as the essay lacked ........
The government has ...... a newprogramme to promote tourisminthestate.
It is ..... that he could walk 10 kms in thirty minutes.
Choose the correct answer
Algorithm and flowchart help us to
A system by which someone pays for a thing in regular instalments while having the use of it is called
DOS stands for
A scalar chain meansa chain of superior from
FORTRAN stands for
Saving backups of software programmesand data for future reference oruseis called
The major advantage of using optical fibres for transmitting signals is that
A Hall Test is
The list of items taken up for a discussion in a meeting is
The Trait Theory believes that the qualities of leadership are
A: [had a brushwiththe principal today
B: oh! Notagain!
B intends to
“They never see eye to eye” means
I hate sitting ...... him as he always smells of garlic.
He was in a hurry and just glanced ..... the letter.
A: Howcould such young boys performsuchprodigious feats?
B: It is a gift conferred on thembynature.
B attributes the children’s skill to
The book tells us in a nutshell, problems connected with environment. The underlined phrase means
His maiden speech as the CEO impressed everyone. The underlined phrase means his
Our Managing Director has been in town ...... Monday.
Iam going to ....... an applicationfor that job.
Much water ..... under the Godavari Bridge.
..... the Fruit bowl
If it ...... the match will be cancelled.
They are going to the theatre tomorrow:they ....... it the whole week.
They ..... when the fire broke out.
After a long discussion.I finally agreed .... him
Read the following passage and answer question
Reality television is a genre of television programming which, it is claimed,presents unscripted dramatic or humorous situations. documents actual events. and features ordinary people rather than professional actors. It could be described as a form of artificial or ‘heightened’ documentary. Although the genre has existed in some form or other since the early years of television, the current explosion of popularity dates from around 2000. Critics say that the term ‘reality television’ is somewhat of a misnomer and that such shows frequently portray a modified and highly influenced form ofreality. with participants put in exotic locations or abnormal situations, sometimes coached to act in certain ways by off-screen handlers. and with events on screen manipulated through editing and other post-production techniques. Part of reality television's appealis dueto its ability to place ordinary people in extraordinary situations. Some commentators have said that the name ‘reality television’ is an inaccurate description for several styles of program included in the genre. In competition—based programs the producers design the format of the show and control the day-to-day activities and the environment. creating a completely fabricated world in which the competition plays out. Producers specifically select the participants. and use carefully designed scenarios, challenges, events, and settings to encourage particular behaviours and conflicts. Mark Bumett. creator of “Survivor and other reality shows. has agreed with this assessment. and avoids the word ‘reality to describe his shows:he hassaid, “I tell good stories. It really is not reality TV. It really is unscripted drama’.
The phrase ‘it is claimed’ in the opening line indicates that
“Explosion of popularity” means
Reality television features
Whichis not a feature of reality television?
Which word means “inappropriate name”
Readthe following passage and answer question
I passed all the other courses I took at my university, but I could never pass Botany. This was because all Botany students had to spend several hours in a week in a laboratory looking through a microscope at plant cells. and I could never see through a microscope. I never once saw a cell through a microscope. This used to enrage my instructor. He would wander around the laboratory pleased with the progress all the students were making in drawing the involved and so I am told. interesting structure of flower cells, until he come to me. I would just be standing there. “I can't see anything’. I would say. He would begin patiently enough. explaming how anybody can see through a microscope. but he could always end up in a fury, claiming that I could too see through a microscope but just pretend that I couldn't. “It takes away from the beauty of flowers anyway. “I used to tell him”. We are not concemed with the beauty in this course’. he would say. “We are concerned solely with what I may call the mechanics”. “well”. Ud say. “I can’t see anything’. nothing at all, except nowand again a nebulous milky substance —a phenomenon of maladjustment. You were supposed to see a vivid. restless clockwork of sharplydefined plant cells. “I see what looks like a lot of milk”, I would tell him. This, he claimed. was the result of may not having adjusted the microscope properly. so he would readjust it for me. or rather, for himself. And I would look again and see milk.
In using the microscope. the author was
The author could see through the microscope only
The instructor’s attempts to teach the author were
The instructor’s concern was withthe
Which word is not a synonymof ‘anger’?
Read the following passage and answer question
Whatis education if it is not about empowering: empowering in order to gain more control over your life. It requires you to look at fundamentalissues. It requires you to look at other people so that you may have an understanding of your own identity. It is a cultural action within which you as participant learn to recognise the structural relation between personal and collective consciousness. The teacher takes you beyond binaries, and shows you the truth that in order to learn you have to define your needs. your goals. and your strategies. and necessarily understand that needs. goals and strategies differ both in nature and priority from person to person. and from group to group. The classroom becomes the site of experience. Identity and authenticity may be fashioned here. The leamer takes the first step in how to negotiateknowledge. Every learner and every teacher needs an entry point that will serve both as point of reference in template and security button in familiar environments.
We should observe other people to
..... is fashioned in the classroom
The true purpose of educationis to help you
Which word means “dual”?
For teachers and learners. what serves as a security button in unfamiliar environment?
