Numeric
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NUMERIC How many integers are there between 100 and 1000 all of whose digits are odd ? There are 5 doors to a lecture room. Two are red and the others are green. In how many ways can a lecturer enter the room and leave the room from different colored doors? A fair, six-sided die is rolled. What is the probability that the number will be odd ? 36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible? How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters? In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? A manager must create a 2-person committee from a group of 4 employees. In how many different ways can this be accomplished ? Three different numbers are selected at random from the set A={1,2,3,….10 }. Find the probability that the product of two of the numbers is equal to the third ?
Transcript of Numeric
NUMERIC
How many integers are there between 100 and 1000 all of whose digits are odd ?
There are 5 doors to a lecture room. Two are red and the others are green. In how many ways can a lecturer enter the room and leave the room from different colored doors?
A fair, six-sided die is rolled. What is the probability that the number will be odd?
36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes cantake more than 10 letters?
In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?
A manager must create a 2-person committee from a group of 4 employees. In how many different ways can this be accomplished ?
Three different numbers are selected at random from the set A={1,2,3,….10 }. Find the probability that the product of two of the numbers is equal to the third ?
There are 12 intermediate stations between two places A and B .In how many ways can a train be made to stop at 4 of these 12 intermediate stations provided no two of them are consecutive?
In an examination ,the question paper contains three different sections A,B and C containing 4,5 and 6 questions respectively.In how many ways, a candidate can make a selection of 7 questions, selecting at least two questions from each section?
If a year has 360 days and all the months with 30 days.What is the probability that your birthday falls on a Monday and that is an even day of an even month,given that january 1 is a Monday?
MCQ
How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
(A) 31 (B) 51 (C) 56 (D) 62 (E) 934
In how many ways can Ann, Bea, Cam, Don, Ella and Fey be seated if Ann and Bea cannot be seated next to each other? (A) 240 (B) 360 (C) 480 (D) 600 (E) 7202
A drum contains 3 to 5 jars each of which contains 30 to 40 marbles. If 10 percent of themarbles are flawed, what is the greatest possible number of flawed marbles in the drum?(A) 51 (B) 40 (C) 30 (D) 20 (E) 12
How many different six-digit numbers can be formed using all of the following digits3, 3, 4, 4, 4, 5?
(A) 10(B) 20(C) 30(D) 36(E) 60
In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?
4/7
4/9
5/7
2/7
What is the probability that two squares(smallest dimension) selected randomly from a chess board will have only one common corner? 7/288
7/144
7/126
7/72
2/63
If four fair coins are tossed, what is the probability of all four coming up heads?
A. 1/4 B. 1/6 C. 1/8 D. 1/16 E. 1/32
Seven beads are in a bag: three blue, two red, and two green. If three beads are randomly drawn from the bag, what is the probability that they are not all blue?
A. 5/7 B. 23/24 C. 6/7 D. 34/35 E. 8/13
Dagny’s purse contains 4 coins which can be 1 rupee coins or 5 rupees coins .2 coins are drawn and are both found to be 5 rupees coins.If the coins are replaced in the purse and Dagny draws out another coin, what is the probability that it is a 1 rupee coin?
a) 1 b)1/2 c) 1/6 d) 1/8 e) 1/10
A,B and C are three speakers among 7 different speakers, scheduled to speak in a rally.What is the probability that A will speak before B who speak before C ?
a) 1/4 b) 1/3 c) 1/6 d)1/8 e) 1/10
A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
a)1/4 b)1/6 c) 1/8 d)1/2 e) 1/3
From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?
a) 19/5525 b) 16/5525c) 17/5525d) 7/5525e) 18/5525
The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target.
a) 1/20 b) 2/20 c) 3/20 d) 5/20 e) 4/20
One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.
a) 4/13 b)5/13 c) 9/13 d) 7/13 e)8/13
Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.
a) 1/3 b)4/3 c) 8/3 d) 7/3 e) 5/3
A shooter can hit a target once in 4 shots. If shooter fires 4 shots in succession, what is the probability that the shooter will hit his target?
A) 1/256B) 81/256C) 1/4 D) 175/256E) 3/4
The probability that John speaks truth is 3/4 and the probability for Cheryl speaking truth is 4/5. What is the probability that they contradict each other when asked to speak on certain fact ?
a) 3/20 b) 7/20 c) 1/5 d) 3/5 e) 2/5
The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
a) 24 b) 32 c) 48 d) 60 e) 192
How many number of times will the digit ‘7' be written when listing the integers from 1 to 1000? a)271 b)300 c)252 d) 324 e) 304
If the letters of the word SACHIN are arranged in all possible ways and theseWords are written out as in dictionary, then the word ‘SACHIN’ appears at serialNumber?
a) 602 b)601 c)606 d)605 e)701
How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or 8?
a)222 b)245 c) 291 d)315 e)343
John will spend the summer in one of the houses either on surf street or breaker way.surf street has 1 landside house and 4 beachside houses ,and breaker way has 1 beachside houses and 2 landside houses.A seaturtle randomly lays eggs in front of a beachside house on breaker way.What are the possible probability that a sea turtle lays its eggs in front of john’s house,depending on which street he lives on ? Indicate all such probabilities.a) 4/25 b) 1/5 c)4/15 d) 1/3 e)17/15
