Pagalguy Ques

A conical tent of given capacity has to beconstructed. The ratio of the height to the radius of the basefor the minimum amount of canvas required for the tent is:(A) 1 : 2 (B) 2 : 1 (C) 1: 2 (D) 2 : 1

If n is a positive integer, let S(n) denote the sum ofthe positive divisors of n, including n and G(n) is the greatestdivisor of n. If H(n) = G( n )/S( n )

then which of the following isthe largest?(A) H(2009) (B) H(2010)(C) H(2011) (D) H(2012)

Two players A and B play the following game. Aselects an integer from 1 to 10, inclusive of both. B then addsany positive integer from 1 to 10, both inclusive, to thenumber selected by A. The player who reaches 46 first winsthe game. If the game is played properly, A may win thegame if:(A) A selects 8 to begin with(B) A selects 2 to begin with(C) A selects any number greater than 5(D) None of the above

p= 1! + 2*2! + 3*3!........10*10!What is remainder when p+2 divided by 11?

A boy leaves home in the morning to go to school. At the moment he leaves the house he looks at the clock in the mirror. The clock has no number indication and for this reason the boy makes a mistake in interpreting the time (mirror-image). Just assuming the clock must be out of order, the boy cycles to school, where he arrives after twenty minutes. At that moment the clock at school shows a time that is two and a half hours later than the time that the boy saw on the clock at home. At wat time did he reach the school??

A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 15 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?

Two players A and B play the following game. Aselects an integer from 1 to 10, inclusive of both. B then adds

any positive integer from 1 to 10, both inclusive, to thenumber selected by A. The player who reaches 46 first winsthe game. If the game is played properly, A may win thegame if:(A) A selects 8 to begin with(B) A selects 2 to begin with(C) A selects any number greater than 5(D) None of the above

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

The demand for a product (Q) is related to the price (P)of the product as follows:Q = 100 – 2PThe cost (C) of manufacturing the product is related tothe quantity produced in the following manner:C = Q^2 – 16Q + 2000As of now the corporate profit tax rate is zero. But theGovernment of India is thinking of imposing 25% tax on theprofit of the company.

As of now, what is the profit-maximizing output?(A) 22 (B) 21.5(C) 20 (D) 19

If the government imposes the 25% corporate profittax, then what will be the profit maximizing output?(A) 16.5 (B) 16.125(C) 15 (D) None of the above

The first negative term in the expansion root (1+ 2x)^7is the:(A) 4th term (B) 5th term(C) 6th term (D) 7th term

The sum of the numbers from 1 to 100, which arenot divisible by 3 and 5.(A) 2946 (B) 2732(C) 2632 (D) 2317

Around a circular table six persons A, B, C, D, Eand F are sitting. Who is on the immediate left to A?

Statement 1: B is opposite to C and D is opposite to EStatement 2: F is on the immediate left to B and D is to theleft of B

A, B, C, D, E are five positive numbers.A + B < C + D, B + C < D + E, C + D < E + A.Is ‘A’ the greatest?Statement 1: D + E < A + BStatement 2: E < C

A sequence of numbers a1, a2 ..... is given by therule(an)^2 = (an+1). Does 3 appear in the sequence?Statement 1: a1 = 2Statement 2: a3 = 16

Five numbers A, B, C, D and E are to be arranged in anarray in such a manner that they have a common primefactor between two consecutive numbers. These integers aresuch that:A has a prime factor PB has two prime factors Q and RC has two prime factors Q and SD has two prime factors P and SE has two prime factors P and R

Which of the following is an acceptable order, fromleft to right, in which the numbers can be arranged?(A) D, E, B, C, A(B) B, A, E, D, C(C) B, C, D, E, A(D) B, C, E, D, A

If the number E is arranged in the middle withtwo numbers on either side of it, all of the following mustbe true, EXCEPT:(A) A and D are arranged consecutively(B) B and C are arranged consecutively(C) B and E are arranged consecutively(D) A is arranged at one end in the array

If number E is not in the list and the other fournumbers are arranged properly, which of the following mustbe true?(A) A and D can not be the consecutive numbers.(B) A and B are to be placed at the two ends in thearray.(C) A and C are to be placed at the two ends in thearray.

(D) C and D can not be the consecutive numbers.

If number B is not in the list and other four numbersare arranged properly, which of the following must betrue?(A) A is arranged at one end in the array.(B) C is arranged at one end in the array.(C) D is arranged at one end in the array.(D) E is arranged at one end in the array.

If B must be arranged at one end in the array, inhow many ways the other four numbers can be arranged?(A) 1 (B) 2(C) 3 (D) 4

Every student of a certain school must take one and only one elective course. In last year, 1/2 of the students took biology as an elective, 1/3 of the students took chemistry as an elective, and all of the other students took physics. In this year, 1/3 of the students who took biology and 1/4 of the students who took chemistry left school, other students did not leave, and no fresh student come in. What fraction of all students took biology and took chemistry?

Jim went to the bakery to buy donuts for his office mates. He chose a quantity of similar donuts, for which he was charged a total of $15. As the donuts were being boxed, Jim noticed that a few of them were slightly ragged-looking so he complained to the clerk. The clerk immediately apologized and then gave Jim 3 extra donuts for free to make up for the damaged goods. As Jim left the shop, he realized that due to the addition of the 3 free donuts, the effective price of the donuts was reduced by $2 per dozen. How many donuts did Jim receive in the end?

A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania’s intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 10 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?

Question : Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move

cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game.Initially, the gold coinis the third coin from the top. Then

In order to win, Alice's first move can be a 0-move or a 1-move. Alice has no winning strategy In order to win, Alice's first move should be a 1-move.

In order to win, Alice's first move should be a 0-move

i dont know the answers. They were asked in an practice exam but it wasnt provided with answers. So i put some of the questions here on which i have doubt or wasnt able to solve : 

Question : 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa) 11 b) 12 c) 13 d) 18

Question : A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?a) 1 b) 0.5 c) 0.25 d) 0.75

Question : For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game ? a) 2/3 b) 4/9 c) 5/9 d) 1/9

Question : Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Zwhere X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 18 b) 27 c) 20 d) 0

Question : 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).

A) 9 b) 7 c) 8 d) 6

Question : After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a) 

12/212 1/12 11/12 0

Question : 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent

Neither A nor B A only Both A and B B only

A 14.4 kg. gas cylinder runs for 104 hours when the smaller burner on the gas stove is fully opened while it runs for 80 hours when the larger burner on the gas stove is fully opened. Which of these values are the closest to the percentage difference in the usage of gas per hour, of the smaller burner over the larger burner?(a) 26.23% (b) 30% (c) 32.23% (d) 23.07%

A, B, C, D and E are 5 different single digit numbers. Four times of the number ABCDE will have a result of EDCBA. What could be the value of C?a. 3 b. 5 c. 7 d. 9

Two vertical poles are 40 metres apart and the height of oneis double that of the other. From the middle point of the linejoining their feet, an observer finds the angular elevationsof their tops to be complementary. Find their heights.(a) 14.14 m, 28.28 m (b) 12 m, 22 m(c) 12.12 m, 24.24 m (d) None of these.

If y = 2[x] + 3 = 3[x − 2] + 5, then [x + y] is, ([x] denotes the integral part of x)OPTIONS

1) 102) 123) 144) 155) None of these

Questions from mock snap:

how many prime numbers exist in 6^40 * 3^56 * 11^7 *65^9.a.5 b.9 c. 42*98*800 d.42*57*8*10

how any values of n would (n-1)! not be divisible by n if n is a natural number less than 50?

how many numbers xist pof the type 16401_61_4 divisible by 72a.2 b.4 c.3 d. >4

Question : Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it's a player's turn then the player wins the game.Initially, the gold coinis the third coin from the top. Then

In order to win, Alice's first move can be a 0-move or a 1-move. Alice has no winning strategy In order to win, Alice's first move should be a 1-move.

In order to win, Alice's first move should be a 0-move

i dont know the answers. They were asked in an practice exam but it wasnt provided with answers. So i put some of the questions here on which i have doubt or wasnt able to solve : Approach: Let the Gold coin be denoted as 0 and the others as 1. Not the order is 11011111111111111111. In this sequence only the first 2 coins above the gold coins can be moved. SO, if Alice start with 1 move, the top coin comes under the 2nd top coin and the order is still the same(110). Case:1)Now if Bob chooses to play, then at any move the top coin will go under the gold coin. Next, Alice can choose a 0 move and then whatever Bob chooses to play the gold coin will come up. Case:2)On the other hand if after the first move of Alice, Bob chooses a 0 move, then whatever be the next move of Alice and Bob the gold coin will be up when it is Alice's turn. So, Alice will have to choose 1 coin. I hope the explanation made sense!!   

Question : For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game ? a) 2/3 b) 4/9 c) 5/9 d) 1/9

I am not completely sure about this, but my approach: Prob that Ghana (G) wins=2/3 meaning, probability that Ghana loses=1/3Prob that Bolivia (B) wins=1/3 meaning, prob that it loses =2/3Palu can predict win for wither of the teams. Therefore, total prob= (Prob that G wins*Prob that B loses) + (Prob that B wins*prob that G loses) = 2/3*1/3 + 1/3*2/3= 2/9+2/9=4/9

Question : Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Zwhere X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 18 b) 27 c) 20 d) 0

Question : 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no "cycle" of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ......, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ......, {ak-1, ak}, {ak, a1} shake hands).A) 9 b) 7 c) 8 d) 6

I guess, it should be 7.

Question : After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a) 

12/212 1/12 11/12 0

1 letter in improper envelope means that 11 letters have been put in the correct envelopes. So, 12 one will also go in the correct envelope. Probability = 0.

Question : 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?

A. All suspects are lying or the leftmost suspect is innocent. B. All suspects are lying and the leftmost suspect is innocent

Neither A nor B A only Both A and B B only

explanations are really appreciatedThankx in advance

a sales figure 'abc' was wrongly entered as 'cba' . what could be the maximum decrease in sales due to this error.a.80 b.74.25 c. 78.5 d.71.12

a mixture of 125 gallons of wine and water has 20% water . whats should be added to increase the percentage of water to 25% of the new mixture

Two spinning machines A and B can together produce 300000 m of cloth in 10 hrs.If B alone can produce the same amount of cloth in 15 hrs,how much cloth can A produce in 10 hr ?{2lac ; 1lac ; 1.5 lac ; 50k} m of cloth

The chance of India winning a cricket match against Australia is 1/6. What is the minimum number of matches India should play against Australia so that there is a fair chance of winning at least one match?

(1) 3 (2) 4 (3) 5 (4) 6 (5) None of the above

A tank internally measuring 150cm × 120cm × l00cm has 1281600cm3 water in it. Porous bricks are placed in the water until the tank is full up to its brim. Each brick absorbs one tenth of its volume of water. How many bricks, of 20cm × 6cm × 4cm, can be put in the tank without spilling over the water?(1) 1100 (2) 1200 (3) 1150 (4) 1250 (5) None of the above

If the ratio of the roots of the equationx^2 – 2ax + b = 0

is equal to that of the rootsx^2 – 2cx + d = 0, then:(A) a^2b = c^2d (B) a^2c = b^2d(C) a^2d = c^2b (D) d^2b = c^2a

A right circular cone is cut (parallel to base) into 6 equal parts such that height of each part is equal.ratio of volume of slice 2nd from top to the slice 2nd from bottom ?

set P = {1,5,6,25,26,30,...} denoted all possible no's that are the sum of one or more distinct powers of 5(in any term one power of 5 can be added only once).then 65th term of this set ?

1.if N= 55^3+17^3-72^3, then N is divisible bya. 7,13b. 3,13c. 3,17d. none

2. if X = ( 16^3 + 17^3 + 18^3 + 19^3), what is the remainder when x id divided by 70.

 The citizens of planet nigiet are 8 fingered and have thus developed their

decimal system in base 8. A certain street in nigiet contains 1000 (in base   buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 64 b) 192 c) 256 d) 54

Alok went to casino to play a card game. He played 10 rounds of that game. In each round he doubled his amount and then gave Rs x to his friend. After playing 10 rounds, he had Rs 1023. Find the sum of the digits of the least possible value of x.

1.5 2.6 3.7 4.8

a, b and c are the sides of a triangle. Equations ax^2 + bx + c = 0 and 3x^2 + 4x + 5 = 0 have a common root. Then angle C is equal to(1) 60(2) 90(3) 120(4) None of these

N = abc is a three-digit number, a, b and c being their respective digits. N is a perfect square of an even number. To find N which of following informations is/are necessary/sufficient? 

A. a, b, c are three consecutive digits but not in order.B. N is divisible by 18. C. Units digit of N^2 is c.(1) Only A and B together are sufficient(2) A and C together are sufficient(3) Only B and C together are sufficient (4) Either A and C together or B and C together are sufficient

A person shooting a target,which is 465m away,hears the bullet strike it 4.5 s after he has fired.A spectator,equidistant from the target and the shooting point(but out of the line of danger),hears the bullet strike 3s after he heard the sound of the gun.What is the speed of sound?

N = (A7A)^17 is a perfect square. Which of the following statement is FALSE?(1) A is an even digit.(2) A is divisible by 3(3) When N is divided by 13 we get remainder 3.(4) None of these

A mother purchase three shirts of the same color but of different size for her three sons.All the three shirts were kept in a box in a dark room. The three boys took one shirt eachat random from the box. What is the probability that none of the boys this own shirt?(1) ½ (2) 1/3 (3) 2/3 (4) 1/4

Product of three consecutive numbers is 2730. What is the sum of three numbers?(1) 39 (2) 42 (3) 45 (4) None of these

A family consists of the father, mother, two sons and the youngest daughter. The age of

father is four times the age of the second son. The age of the first son is in the ratio of 3 : 1with that of his sister. The mother is 3.5 times older than the second son. The age of thesecond son is 2/3 times of the first son. The age of the youngest daughter is 5 years. Findthe sum of all the ages.(1) 115 yrs (2) 105 yrs (3) 205 yrs (4) 210 yrs

A can do a piece of work in 36 days, B in 54 days and C in 72 days. All of them begantogether but A left 8 days and B left 12 days before the completion of the work. Howmany days in all did C put in till the entire work was finished?(1) 48 days (2) 24 days (3) 12 days (4) None

The sides of a rhombus ABCD measure 2 cm each and the difference between two angles is   then the area of the rhombus is:

Answer 

A.   sq cm

B.   sq cm

C.   sq cm

D.   sq cm

What is the number that is one half of one quarter of one tenth of 400??2;5;8;10

3. An operation “#” is defined bya # b = 1 −(b/a)

Conclusion I. (2 # 1) # (4 # 3) = −1Conclusion II. (3 # 1) # (4 # 2) = −2Conclusion III. (2 # 3) # (1 # 3) = 0A)I can be derivedB)II can be derivedC)III can be derivedD)All three can be derivedE)NOT can be derived

The curve y = 4x^2 and y^2 = 2x meet at the origin O and at the point P, forming a loop. The straight line OP divides the loop into two parts. What is the ratio of the areas of the two parts of the loop?Answer Choices

A. 3:1

B. 3:2

C. 2:1

D. 1:1

try these XAT quests ...

OABC is a square where O is the origin and AB = 1. Consider the set of points S = {(xi, yi)} in the square such that xi + yi ≤ 1. Let P (x1, y1) and Q (x2, y2) be two such points. Two operations addition (+) and multiplication (.) on S are defined as P + Q = (x1 + x2 – x1 x2, y1y2) P.Q = (x1x2, y1 + y2 – y1 y2)

86. For a very large number n, Pn+ Qn is(1) close to (0, 0) (2) close to (1,0) (3) close to (0, 1) (4) any point in the region x + y < 1 (5) None of the above

87. For a very large number n, nP + nQ is(1) close to (0, 0) (2) close to (1,0) (3) close to (0, 1) (4) Any point in the region x + y < 1 (5) None of the above

4. A, B, C and D are whole numbers such that A + B + C = 118B + C + D = 156C + D + A = 166D + A + B = 178Conclusion I. A is the smallest number and A = 21.Conclusion II. D is the largest number and D = 88.Conclusion III. B is the largest number and B = 56.

The length of the sides of a triangle are x + 1, 9 – x and 5x – 3. The number of values of x for which the triangle is isosceles is:Answer Choices

A. 0

B. 1

C. 2

D. 3

What is the sum of first 100 terms which are common to both the progressions 17, 21, 25, .. and 16, 21, 26, .... :Answer Choices

A. 100000

B. 101100

C. 111000

D. 100110

The price of Darjeeling Tea(in rs./kg) is 100+0.1n, on the nth-day of a non leap year(n=1,2,3,.....100) and then remains constant.On the other hand the price of Ooty tea (in rupees per kg) is 85+0.15n, on the nth-day(n=1,2,3....365).On which date of that year will the prices of these two varieties of the tea be equal??1)27th October2)16th June3)15th June4)28th October

6. ABCD is a square. P is the midpoint of AB. The line passing through A and perpendicular to DP intersects the diagonal at Q and BC at R. If

AB = 2 then PR = ______ ?

1/2;(sqrt3)/2;sqrt2;1;None of the above

Wat is the sum of digits of 5^10

7. ABCD is a rectangle with AD = 10. P is a point on BC such that ∠APD = 90°. If DP = 8 then the length of BP is(A) 6.4 (B) 5.2 (C) 4.8 (D) 3.6 (E) None of the above

Between two numbers whose sum is 6 ½ an even number of arithmetic means is inserted; the sum of these means exceeds their number by unity. How many means are there?(1) 12 (2) 6 (3) 24 (4) None

Let A be a set of positive integers greater than 103 and lesser than 209. A mathematician discovered that if he selected any n integers from this set A, he will find atleast 2 integers which have a common prime divisor. What is the minimum value of n?

OPTIONS1)262)273)284)295)None of these

In second year, students at a business school can opt for Systems, Operations or HR electives only. The number of girls opting for Operations and the number of boys opting for Systems elective is 37. Twenty two students opt for operations elective. Twenty girls opt for Systems and Operations electives.The number of students opting for Systems elective and the number of boys opting for Operations electives is 37. Twenty-five students opt for HR electives. 9. The number of students in the second year is(A) 73 (B) 74 (C) 75 (D) 76 (E) 7710. If 20% of the girls opt for HR electives, then the total number of boys in the second year is(A) 54 (B) 53 (C) 52 (D) 51 (E) 50

A. If statement I alone is sufficient to answer the question.B. If statement II alone is sufficient to answer the question.C. If statement I and statement II together are sufficient but neither of the two alone is sufficient to answer the question.D. If either statement I or statement II alone is sufficient to answer the question.E. Both statement I and statement II are insufficient to answer the question.

11. The base of a triangle is 60 cms,

and one of the base angles is 60°. What is length of the shortest side of the triangle?I. The sum of lengths of other two sides is 80 cms.II. The other base angle is 45°.

12. A, B, C, D, E and F are six integers such that E < F, B > A, A < D < B. C is the greatest integer. Is A the smallest integer?I. E + B < A + DII. D < F

the power of 45 tht will completely divide 123! is :a)28b)30c)31d)29e)59

There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability that the number of men is equal to that of women?

A group of four women and three men have tickets for seven adjacent seats in one row of a theater. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theater-goers?

In how many ways can one choose 6 cards from a normal deck of cards so as to have all suits present?

A boy of +2 asked me question that ,''Say a=1,b=2...... z=26 .How many word can you form by these digits so the sum is 100 '' ?I know it's huge .But least possible would be 5 letter word .How to find that ?

The year 2000 can be represented as the sum of consecutive integers:2000 = 398 + 399 + 400 + 401 + 402.

The year 2001 can be represented as the sum of consecutive integers:2001 = 1000 + 1001.

In fact, every year in the millennium from 2000 to 2999 can be represented as the sum of consecutive integers, except one year. Which year can NOT be represented as the sum of consecutive integers? And why not?

A cylindrical can is filled with water. Water is poured into another can with radius 20% more than the first one. Find the percentage reduction is water level.

What I am doing is:h1=(36/25)h2

For me percentage reduction in water level is [(h2-h1)/h1]x100.Is this right? If not what does the above form represent?

Team A has odds of 5 is to 3 winning a tournament and team B hass the odds 1 is to 4. What are d odds that either A or B won d tournament??

find the remainder when 50^56^52 is divided by 11....(tht is 50 raised to 56 raised to 52)

a)7b)5c)9d)10

abc is a three digit number , where a , b and c are three distinct digits in a GP. then the number of different possible values of | a + b - c | is ?????

S is a set of the first 3000 natural numbers..A subset P of S is chosen such that if x belongs to P,2x doesn't belong to P..Find the maximum number of elements that can belong to set P...a.1799 b.1499 c.1501 d.2001 e.1999

S is a set of the first 3000 natural numbers..A subset P of S is chosen such that if x belongs to P,2x doesn't belong to P..Find the maximum number of elements that can belong to set P...a.1799 b.1499 c.1501 d.2001 e.1999

Seven distant numbers T,U,V,W,X,Y,Z are arranged in ascending order,from left to right,such that first four numbers are in GP and the last four are in

AP..Also we have the following information..1.Y-W=Z-T=X-Y>12.There are exactly two numbers between V and T..3.Z and Y are adjacent to each other..4.X is the greatest among the seven and is equal to 42..5.U is the smallest among the seven..

1)Find the value of W6,8,10,12,16

2)Find the value of Z/Y?1.2,1.25,1.3,1.5,1.75

3)Find the value of V-T?6,12,8,16,24..

In a certain factory, each day the expected number of accidents is related to the number of overtimehours by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8accidents reported, and on another day there were 400 overtime hours logged and 5 accidents.What are the expected numbers of accidents when no overtime hours are logged?

Five integers A, B, C, D, and E are arranged in such a way that there are two integers between Band C and B is not the greatest. There exists one integer between D and E and D is smaller than E.A is not the smallest integer. Which one is

the smallest?1. E is the greatest2. There exists no integer between B and E.

What is the maximum value of a/b?1. a, a + b and a + 2 b are three sides of a triangle.2. a and b both are positive.

For how many integers n, n/(20-n)is the square of an integer?

DIRECTIONS for Questions 23 and 24: A truck traveled from town A to town B over several days. Duringthe first day, it covered 1/p of the total distance, where p is a natural number. During the second day, ittraveled 1/q of the remaining distance, where q is a natural number. During the third day, it traveled 1/p of thedistance remaining after the second day, and during the fourth day, 1/q of the distance remaining after thirdday. By the end of the fourth day the truck and traveled 3/4 of the distance between A and B.23. If the total distance is 100 kilometers, the minimum distance that can be covered on day 1 is _____kilometers.?????options a. 25 b. 30 c. 33 d. 35 e. 40

24. The value of the sum of p and q isoptions a. 4 b. 5 c. 6 d. 7 e. 8

If s=(a+b+c)/2 , then maximum area of a triangle formed by a,b, and c isA. s^2/2B. s^2/4C. s^2/8D. 2s^2/

The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?

I. The units digit of x + y is greater than the units digit of either x or y.II. The tens digit of x + y equals 2.III. The hundreds digit of y is at least 5.

ABCD is a square. P is the midpoint of AB. The line passing through A and perpendicular to DP intersects the diagonal at Q and BC at R. If AB = 2 then PR = _______?

(A)   (B)   (C)   (D) 1

1. The probability of a bomb hitting a bridge is 1/2 and two direct hits are needed to destroy it.The least number of bombs required so that the probability of the bridge being destroyed is greater than 0.9 is:

a) 7 bombs c) 8 bombsb) 3 bombs d) 6 bombs

2. What is the probability of the destruction of the bridge if only 5 bombs are dropped?

a)62.32% c)45.23%b)81.25% d)25.23%

A mixture comprises two chemicals A and B. The price of A is Rs. 100/- per litre and that of B is Rs.200/- per litre. We can spend a maximum of Rs. 600/- for making the mixture. The densities of A andB are 10 kg/litre and 12 kg/litre respectively. The mixture must contain each of the chemicals to theextent of at least 25% by weight. The maximum weight of the mixture that can be made is closestto:

a. 60 kg b. 51 kg c. 54 kg d. 48 kg If each permutation of the digits 1, 2, 3, 4, 5, 6 is listed in

increasing order of magnitude, the 289thterm will be:

a. 326541 b. 341256 c. 356241 d. 314256

Let X = {a, b, c} and Y = {l, m}. Consider the following four subsets of X × Y.

F1 = {(a, l), (a, m), (b, l), (c, m)}F2 = {(a, l), (b, l), (c, l)}F3 = {(a, l), (b, m), (c, m)}F4 = {(a, l), (b, m)}

Which one, amongst the choices given below, is a representation of functions from X to Y?

(A) F1, F2 and F3 (B) F2, F3 and F4 (C) F2 and F3 (D) F3 and F4 (E) None of the above

Find wrong no. in the given series:97 89 83 79 70 71

...........“Bona fide” is a Latin term which is used to describe what?

good intentions

all of the above

good faith

genuine

Matt starts a new job, with the goal of doubling his old average commission of $400. He takes a 10% commission, making commissions of $100.00, $200.00, $250.00, $700.00, and $1,000 on his first 5 sales. If Matt made two sales on the last day of the week, how much would Matt have had to sell in order to meet his goal?

During a behavioral experiment in a psychology class, each student is asked to compute his or her lucky number by raising 7 to the power of the student’s favorite day of the week (numbered 1 through 7 for Monday through Sunday respectively), multiplying the result by 3 and adding this to the doubled age of the student in years, rounded to the nearest year. If a class consists of 28 students, what is the probability that the

median lucky number in the class will be a non-integer?

Two missiles are launched simultaneously. Missile 1 launches at a speed of x miles per hour, increasing its speed by a factor of rootx

every 10 minutes (so that after 10 minutes its speed is x(rootx), after 20 minutes its speed is x(rootx)(rootx) , and so forth. Missile 2 launches at a speed of y miles per hour, doubling its speed every 10 minutes. After 1 hour, is the speed of Missile 1 greater than that of Missile 2?

1) x=rooty2) x>8approach ?

A committee of 6 is chosen from 8 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed if two of the men refuse to serve together?

Tamsin regularly buys her lunch at the school tuck shop. If she buys food she always buys a drink as well, but if she doesn't buy food the probability she buys a drink is 0.2. On 32% of the days Tamsin buys neither food or drink. What is the probability Tamsin doesn't buy food at the tuckshop during the day?

A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and

revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?...............