QA & DI Test 9

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QA & DI Test 9

Cut-off : 24.0

Four pointsL, M, N and P are chosenon the circumference of a circle asshown in the figure given below. If 4arc-length(LM) = 4 arc-length(NP) = 2

arc-length(MN) = where R is

the radiusof the circle, then what is

the measure of the

Answer: Correct Option is: "c"

Solution:

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Solution:

Question: A = {179, 180, 181,..,360}. B is a subsetof A such that sum of no two elementsof B isdivisible by 9. The number of elements in B cannot exceed


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Answer: Correct Option is: "d"

Solution:

Question: If Ramu and Krishnawork on alternate days to complete a work, then the work getscompleted in exactly 24 days. If R and K denote the number of days required by Ramu andKrishna respectively to complete the work independently, then how many ordered pairsofintegral values of R and K are possible?


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Solution:

Question:

A right circularsolid cone has a curvedsurface areaof units such that the radius(in units) and the slant height (in units) of the cone are integers. The cone has maximumpossible volume. A right circular cylinder is casted by melting the whole cone. If the radiusof such a cylinder is twice its height, then what will be the height (in units) of the cylinder?


Solution:

Question: How many four-digitnumbers, having distinct digits, using the digits 1, 2, 3, 4 and 5 canbe formed such that the numbers formed are divisible by each of the digits used in thenumber?


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Solution:

Question: Boxes of 2 types viz. A and B are used for packingballs of 2 different colours. Each of thetype A boxes can hold a maximum of 17 blue balls or 19 green balls, and each of the typeB boxes can hold a maximum of 18 blue balls or 23 green balls. When all the boxes of typeA are to be completely filled with blue balls and all the boxes of type B with green balls, thetotal number of balls required is 566. But when the boxes of type A are to be completelyfilled with green balls and the boxes of type B with blue balls, the total number of ballsrequired is 49 less. How many boxes are there? (All balls of the same colour are identical.)

Answer: Correct Option is: "a"

Solution:

Question: The functionsf(x) and g(x) are definedas: f(x) = f(x 1) + x and g(x) = g(x 1) + f(x),where x is an integer greater than or equal to 1. If f(0) = 0, then the value of k, for whichg(k) g(4) = g(10) g(8), is


Solution:

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Question: In a communityof 80 members, 30 could speak French and 40 Urdu. 20 new membersjoined this community, out of which 9 could speak both Urdu and French and 11 couldspeak exactly one of these two languages. As a result, the fraction of the members of thecommunity who could speak both Urdu and French doubled. The number of members whocould speak exactly one of these two languages, finally, is


Solution:

Question: When I left homefor office on a particular day my fatherswatch showed 7:00 PM, andwhen I reached my office my watch showed 7:50 PM. Next day in the morning when myfathers watch showed 6:00 AM, my watch showed 7:30 AM. If my fathers watch runs at

normal speed and my watch gains 5 minutes per hour, then the time taken by me to reachmy office from home, on that day, was closest to


Solution:

Question: xy + zy = 37 and xz + zy = 72. Find the number of orderedtriplets(x, y and z) such thatx, y and z are positive integers.


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Answer: Correct Option is: "b"

Solution:

Question: In a testof 50 questions, for every correct answer one gets 1 mark and for every wrong

answer one incurs a penalty of marks, where n is a positive integer. No marks areawardedfor unattempted questions. If 336 distinct scoresare possible in this test, then, nsatisfies


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Solution:

"Answer the questions on the basis of the information given below.

A sum of money'S' is divided among four people A, B, C and D. Now, the following operations areperformed in the given order:1.Twice the money with B is taken from A and dividedequally between D and C.2.Half the money with D is taken from C and given to D.

3.Thrice the money with B is taken from C and divided between A and D in the ratio 2 : 1.4. Two'fifth of the sum of money with D is taken from him and given to B.After these four operations it was found that each of A, B, C and D had the same sum of money."

Question: If A received Rs.54 initially, then which of the following is true?


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Solution:

Question: Which of the following statement(s) is/are true?I. 5401> 5.05400II. 2840> 3560III. 2840< 5360


Solution:

Question: The question given below is followedby two statements, I and II. Answer the questionusing the following instructions:Mark (a) if the question can be answered by using the statement I alone but not by usingthe statement II alone.Mark (b) if the question can be answered by using both the statements together but not by

either of the statements alone.Mark (c) if the question cannot be answered on the basis of the two statements.

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Mark (d) if the question can be answered by using either of the statements alone.

Q. The rootsof the equation Ax3+ Bx2+ Cx + D = 0, where A > 0, are in AP. Find allpossible roots of the equationBx2+ Cx + D = 0.I. One of the roots of the equation Ax3+ Bx2+ Cx + D = 0 is 0.II. C < 0.


Solution:

Question: The question given below is followed by two statements, I and II. Answer the questionusing the following instructions:Mark (a) if the question can be answered by using the statement I alone but not by usingthe statement II alone.Mark (b) if the question can be answered by using both the statements together but not byeither of the statements alone.Mark (c) if the question cannot be answered on the basis of the two statements.Mark (d) if the question can be answered by using either of the statements alone.

Q. A and B are two points on a straight road. A boy walked to the point B from the point Aalong the straight road ABwithout stopping. How long it took him to reach the point B?

I. A cartraveling along the straight road AB at a uniform speed of 10 m/sec takes thesame time as the boy to reach the point B from the point A, only if it stops in between for

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20 minutes.II. A cart travelingalong the straight road AB at a uniform speed of 2 m/sec, withoutstopping, takes 1 hour to reach the point B from the point A.


Solution:

DIRECTIONS for Questions:Answer the questions on the basis of the information given below.

There are 15 states viz. S1 through S15 that produce cocoa in the world. Each of these states is in one or theother of the six countries viz. C1 through C6 and each of these 6 countries is in one or the other of the threecontinents viz. Asia, Europe and North America.The following tableand pie chartprovide information about the quantity (by weight) of cocoa produced in eachof the states and countries respectively as a percentage of total cocoa produced in the world. It is also giventhat the percentage contributions of the three continents Asia, Europe and North America are 40%, 29% and31% respectively as a percentage of the total cocoa produced in the world.

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Question: Which of the following countries is in Europe?


Solution:


There are 15 states viz. S1 through S15 that produce cocoa in the world. Each of these states is in one or theother of the six countries viz. C1 through C6 and each of these 6 countries is in one or the other of the threecontinents viz. Asia, Europe and North America.The following tableand pie chartprovide information about the quantity (by weight) of cocoa produced in eachof the states and countries respectively as a percentage of total cocoa produced in the world. It is also giventhat the percentage contributions of the three continents Asia, Europe and North America are 40%, 29% and31% respectively as a percentage of the total cocoa produced in the world.

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Question: Which of the following countries can never be in North America?


Solution:


There are 15 states viz. S1 through S15 that produce cocoa in the world. Each of these states is in one or theother of the six countries viz. C1 through C6 and each of these 6 countries is in one or the other of the three

continents viz. Asia, Europe and North America.The following table and pie chart provide information about the quantity (by weight) of cocoa produced in eachof the states and countries respectively as a percentage of total cocoa produced in the world. It is also giventhat the percentage contributions of the three continents Asia, Europe and North America are 40%, 29% and31% respectively as a percentage of the total cocoa produced in the world.

Question:

The number of mentioned countries in each of the three continents is not the same. Also, thenumber of states in North America is maximum possible. The number of states in C3, out of thementioned 15 states, is


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Solution:


There are 15 states viz. S1 through S15 that produce cocoa in the world. Each of these states is in one or theother of the six countries viz. C1 through C6 and each of these 6 countries is in one or the other of the three

continents viz. Asia, Europe and North America.The following tableand pie chartprovide information about the quantity (by weight) of cocoa produced in eachof the states and countries respectively as a percentage of total cocoa produced in the world. It is also giventhat the percentage contributions of the three continents Asia, Europe and North America are 40%, 29% and31% respectively as a percentage of the total cocoa produced in the world.

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Question:

The number of mentioned countries in each of the three continents is not the same. Also, thenumber of states in North Americais maximum possible. Which of the following states can neverbe in C3?A. S8B. S4C. S12


Solution:


The CareerLauncher SIS launched a battery of tests on July 1st, 2009. The following table is a dailyreport of the number of test takers of 4 of the tests available on the SIS from July 4th to July 14th, 2009.Each cell in the table indicates the number of test takers who have taken that test in the last 7 dayperiod, ending that day. Test 1, Test 3 and Test 4 were made available on July 1st and Test 2 on July2nd, 2009. A, B and C represent missing datacorrosponding to July 4th to July 7th, 2009 for Test 3.

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Question: How many testtakers took Test 2 from July 9 thto July 12th, 2009?


Solution:


The CareerLauncher SIS launched a battery of tests on July 1st, 2009. The following table is a dailyreport of the number of test takers of 4 of the tests available on the SIS from July 4th to July 14th, 2009.Each cell in the table indicates the number of test takers who have taken that test in the last 7 dayperiod, ending that day. Test 1, Test 3 and Test 4 were made available on July 1st and Test 2 on July2nd, 2009. A, B and C represent missing datacorrosponding to July 4th to July 7th, 2009 for Test 3.

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Question: If the number of testtakers who took Test 3 till July 13 th, 2009 was 5742, then thenumber of test takers who took Test 3 on July 14th, 2009 was


Solution:


The CareerLauncher SIS launched a battery of tests on July 1st, 2009. The following table is a dailyreport of the number of test takers of 4 of the tests available on the SIS from July 4th to July 14th, 2009.Each cell in the table indicates the number of test takers who have taken that test in the last 7 dayperiod, ending that day. Test 1, Test 3 and Test 4 were made available on July 1st and Test 2 on July

2nd, 2009. A, B and C represent missing datacorrosponding to July 4th to July 7th, 2009 for Test 3.

Question: If, from July 1stto July 10th, 2009, the number of testtakers who took Test 1 neverexceeded 500 on any day, then the minimum number of test takers on July 4 th, 2009could be


Solution:

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The CareerLauncher SIS launched a battery of tests on July 1st, 2009. The following table is a dailyreport of the number of test takers of 4 of the tests available on the SIS from July 4th to July 14th, 2009.

Each cell in the table indicates the number of test takers who have taken that test in the last 7 dayperiod, ending that day. Test 1, Test 3 and Test 4 were made available on July 1st and Test 2 on July2nd, 2009. A, B and C represent missing datacorrosponding to July 4th to July 7th, 2009 for Test 3.

Question: If, from July 1stto July 10th, 2009, the number of testtakers who took Test 1 neverexceeded 500 on any day, then the minimum number of test takers on July 4 th, 2009could be


Solution:

QA & DI Test 9

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