You Are On Multi Choice Question Bank SET 4396
219803. After executing a sequence of three instructions, bottle A contains one litre of water. The first and the third of these instructions are shown below: First instruction: FILL (C, A) Third instruction: FILL (C, A) Then which of the following statements about the instruction is true?
219804. Consider the same sequence of three instructions ‘and the same initial state mentioned above. Three more instructions are added at the end of the above sequence to have A contain 4 litres of water. In this total sequence of six instructions, the fourth one is DRAIN (A). This is the only DRAIN instruction in the entire sequence. At the end of the execution of the above sequence, how much water (in litres) is contained in C?
219805.
Directions for the next 2 questions:For a real number x, let$$f(x) = 1/(1+x),$$ if $$x$$ is non-negative
$$f(x) = 1+x,$$ if $$x$$ is negative$$f^n(x) = f(f^{n-1}(x)), n = 2, 3.....$$What is the value of the product, $$f(2) f^2(2)f^3(2) f^4(2)f^5(2)$$?
219806.
Directions for the next 2 questions:For a real number x, let$$f(x) = 1/(1+x),$$ if $$x$$ is non-negative
$$f(x) = 1+x,$$ if $$x$$ is negative$$f^n(x) = f(f^{n-1}(x)), n = 2, 3.....$$r is an integer 2. Then, what is the value of $$f^{r-1}(-r) + f^r(-r) + f^{r+1}(-r)$$?
219807. Let D be recurring decimal of the form, $$D = 0.a_1a_2a_1a_2a_1a_2...$$, where digits $$a_1$$ and $$a_2$$ lie between 0 and 9. Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by D?
219808. 
In the above table, for suitably chosen constants a, b and c, which one of the following best describes the relation between y and x?
219810. What is the value of the following expression?$$(1/(2^2-1))+(1/(4^2-1))+(1/(6^2-1))+...+(1/(20^2-1)$$
219811. A truck travelling at 70 kilometres per hour uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kilometres per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kilometres per hour, how far can the truck travel on 10 litres of diesel at a speed of 70 kilometres per hour?[CAT 2000]
219812. Consider a sequence of seven consecutive integers. The average of the first five integers is n. The average of all the seven integers is:[CAT 2000]
219814. One red flag, three white flags and two blue flags are arranged in a line such that,A. no two adjacent flags are of the same colourB. the flags at the two ends of the line are of different colours.In how many different ways can the flags be arranged?
219816. Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all the elements of S. With how many consecutive zeroes will the product end?
219817. Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true?
219820. The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?
219821. Each of the numbers $$x_1, x_2, ... ,x_n$$ $$(n > 4)$$, is equal to 1 or -1. Suppose, $$x_1x_2x_3x_4 + x_2x_3x_4x_5 + x_3x_4x_5x_6 + ....... + x_{n-3}x_{n-2} x_{n-1}x_n x_1 + x_{n-1} x_n x_1 x_2 + x_n x_1 x_2x_3$$ = 0, then:
219822. The table below shows the age-wise distribution of the population of Reposia. The number of people aged below 35 years is 400 million. 
If the ratio of females to males in the ‘below 15 years’ age group is 0.96, then what is the number of females (in millions) in that age group?
219823. Sam has forgotten his friend’s seven-digit telephone number. He remembers the following: the first three digits are either 635 or 674, the number is odd, and the number nine appears once. If Sam were to use a trial and error process to reach his friend, what is the minimum number of trials he has to make before he can be certain to succeed?
219826. ABCD is a rhombus with the diagonals AC and BD intersection at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?
219827. Consider a circle with unit radius. There are 7 adjacent sectors, S1, S2, S3,....., S7 in the circle such that their total area is (1/8)th of the area of the circle. Further, the area of the $$j^{th}$$ sector is twice that of the $$(j-1)^{th}$$ sector, for j=2, ...... 7. What is the angle, in radians, subtended by the arc of S1 at the centre of the circle?
219828. There is a vertical stack of books marked 1, 2 and 3 on Table-A, with 1 at the bottom and 3 on top. These are to be placed vertically on Table-B with 1 at the bottom and 2 on the top, by making a series of moves from one table to the other. During a move, the topmost book, or the topmost two books, or all the three, can be moved from one of the tables to the other. If there are any books on the other table, the stack being transferred should be placed, on top of the existing books, without changing the order of books in the stack that is being moved in that move. If there are no books on the other table, the stack is simply placed on the other table without disturbing the order of books in it. What is the minimum number of moves in which the above task can be accomplished?
219830. If the equation $$x^3 - ax^2 + bx - a = 0$$ has three real roots, then it must be the case that,
219831. If a,b,c are the sides of a triangle, and $$a^2 + b^2 +c^2 = bc + ca + ab$$, then the triangle is:
219833. A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kgs. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kgs. What is the weight, in kgs, of the heaviest box?
219834. There are three cities A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the, first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?
219835. The set of all positive integers is the union of two disjoint subsets:{f(1), f(2),.....f(n), ...} and {g(1),g(2).... ,g(n).....}, where f(1) < f(2) = 1. What is the value of g(1)?
219836. ABCDEFGH is a regular octagon. A and E are opposite vertices of the octagon. A frog starts jumping from vertex to vertex, beginning from A. From any vertex of the octagon except E, it may jump to either of the two adjacent vertices. When it reaches E, the frog stops and says there. Let $$a_n$$ be the number of distinct paths of exactly n jumps ending in E. Then, what is the value of $$a_{2n-1}$$?
219837. For all non-negative integers x and y, f(x, y) is defined as below:f(0, y) = y + 1f(x + 1, 0) = f(x, 1)f(x+ 1, y+ 1)= f(x, f(x+ 1, y))Then, what is the value of f(1,2)?
219839. Two full tanks, one shaped like a cylinder and the other like a cone, contain jet fuel. The cylindrical tank holds 500 litres more than the conical tank. After 200 litres of fuel has been pumped out from each tank the cylindrical tank contains twice the amount of fuel in the conical tank. How many litres of fuel did the cylindrical tank have when it was full?
219840. A farmer has decided to build a wire fence along one straight side of this property. For this, he planned to place several fence-posts at six metre intervals, with posts fixed at both ends of the side. After he bought the posts and wire, he found that the number of posts he had bought was five less than required. However, he discovered that the number of posts he had bought would be just sufficient if he spaced them eight metres apart. What is the length of the side of his property and how many posts did he buy?
219841. Triangle PQR has angle PRQ equal to 90 degrees. What is the value of PR + RQ?A. Diameter of the inscribed circle of the triangle PQR is equal to 10 cm. B. Diameter of the circumscribed circle of the triangle PQR is equal to 18 cm
219842. Harshad bought shares of a company on a certain day, and sold them the next day. While buying and selling he had to pay to the broker one percent of the transaction value of the shares as brokerage. What was the profit earned by him per rupee spent on buying the shares?A.The sales price per share was 1.05 times that of its purchase price. B. The number of shares purchased was 100.
219843. For any two real numbers:a + b = 1 if both a and b are positive or both a and b are negative. a + b = -1 if one of the two numbers a and b is positive and the other negative.What is (2 + 0) + (-5 + -6)? A. a + b is zero if a is zero B. a + b = b + a
219844. There are two straight lines in the x-y plane with equations:ax + by = cdx + ey = fDo the two straight lines intersect?A. a, b, c, d, e and f are distinct real numbers.B. c and f are non-zero.
219845. O is the centre of two concentric circles. AE is a chord of the outer circle and it intersects the inner circle at points B and D. C is a point on the chord in between B and D. What is the value of AC/CE?A. BC/CD=1 B. A third circle intersects the inner circle at B and D and the point C is on the line joining the centres of the third circle and the inner circle.
219846.
Directions for the following two questions: Answer the questions based on the following information.The batting average (BA) of a Test batsman is computed from runs scored and innings played — completed innings and incomplete innings (not out) in the following manner:$$r_1 =$$ Number of runs scored in completed innings$$n_1 =$$ Number of completed innings$$r_2 =$$ Number of runs scored in incomplete innings$$n_2 =$$ Number of incomplete innings$$BA=\frac{r_1+r_2}{n_1}$$To better assess a batsman’s accomplishments, the ICC is considering two other measures $$MBA_1$$ and $$MBA_2$$ defined as follows:$$MBA_1 = \frac{r_1}{n_1} + \frac{n_2}{n_1}*max[0,(\frac{r_2}{n_2}-\frac{r_1}{n_1})]$$$$MBA_2 = \frac{r_1 + r_2}{n_1 + n_2}$$Based on the above information which of the following is true?
219847. An experienced cricketer with no incomplete innings has BA of 50. The next time he bats, the innings is incomplete and he scores 45 runs. It can be inferred that
219848.
Directions for the following two questions: Answer the questions based on the following information.The petrol consumption rate of a new model car ‘Palto’ depends on its speed and may be described by the graph below.The axis represents the speed and the Y axis represents the Fuel Consumption (Liters per hour)
Manasa makes a 200 km trip from Mumbai to Pune at a steady speed of 60 km/hr. What is the volume of petrol consumed for the journey?[CAT 2001]
219849. Manasa would like to minimize the fuel consumption for the trip by driving at the appropriate speed. How should she change the speed?[CAT 2001]
219850. A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 50% marks is
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