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Discmath F4
DiscMath
| Question | Answer |
|---|---|
| In how many ways can 8 different dolls be packed in 5 identical gift boxes such that no box is empty if any of the boxes hold all of the toys? a) 2351 b) 365 c) 2740 d) 1260 | a) 2351 |
| A bag contains 25 balls such as 10 balls are red, 7 are white and 8 are blue. What is the minimum number of balls that must be picked up from the bag blindfolded (without replacing any of it) to be assured of picking at least one ball of each colour? | b) 18 |
| When four coins are tossed simultaneously, in _______ number of the outcomes at most two of the coins will turn up as heads. a) 17 b) 28 c) 11 d) 43 | c) 11 |
| In a computer science department, a student club can be formed with either 10 members from first year or 8 members from second year or 6 from third year or 4 from final year. | 25 |
| In a group of 267 people how many friends are there who have an identical number of friends in that group? a) 266 b) 2 c) 138 d) 202 | b) 2 |
| During a month with 30 days, a cricket team plays at least one game a day, but no more than 45 games. There must be a period of some number of consecutive days during which the team must play exactly ______ number of games. | d) 24 |
| A drawer contains 12 red and 12 blue socks, all unmatched. A person takes socks out at random in the dark. How many socks must he take out to be sure that he has at least two blue socks? a) 18 b) 35 c) 28 d) 14 | d) 14 |
| In a get-together party, every person present shakes the hand of every other person. If there were 90 handshakes in all, how many persons were present at the party? a) 15 b) 14 c) 16 d) 17 | b) 14 |
| If (Kn+1) pigeons are kept in n pigeon holes where K is a positive integer, what is the average no. of pigeons per pigeon hole? | K + 1/n |
| A group of 20 girls plucked a total of 200 oranges. How many oranges can be plucked one of them? a) 24 b) 10 c) 32 d) 7 | a) 24 |
| For independent events A and B, if there are 10 outcomes in event A and 10 outcomes in event B, then there are ___________ outcomes for events A and B together. | 20 |
| For her English literature course, Ruchika has to choose one novel to study from a list of ten, one poem from a list of fifteen and one short story from a list of seven. How many different choices does Rachel have? | d) 10500 |
| How many licence plate can be formed from 3 english letters followed by 3 digits? | 17576000 |
| The probability of a sandwich with turkey and mayonnaise is. | 1:12 |
| How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed? a) 16807 b) 54629 c) 23467 d) 32354 | a) 16807 |
| A sandwich is made by choosing a bread, a meat, a vegetable, and a sauce. There are 5 outcomes for the event of choosing bread, 4 outcomes for the event of choosing meat, 12 outcomes for the event of choosing vegetables, and 3 outcomes for the | 720 |
| Neela has twelve different skirts, ten different tops, eight different pairs of shoes, three different necklaces and five different bracelets. In how many ways can Neela dress up? | b) 14400 |
| A student can choose a computer project from one of three lists. The three lists contain 20, 15, and 19 possible projects respectively. How many possible projects are there to choose from? | 54 |
| choose 1 teacher from 2 rooms. The first room has 5 teachers, the second room has 7 teachers. The total number of ways is ____________. | 12 |
| In a multiple-choice question paper of 15 questions, the answers can be A, B, C or D. The number of different ways of answering the question paper are ________ | c) 23650 x 49 / a) 65536 x 47? |
| The code for a safe is of the form PPPQQQQ where P is any number from 0 to 9 and Q represents the letters of the alphabet. How many codes are possible for each of the following cases? Note that the digits and letters of the alphabet can be repeated. | d) 456976000 |
| There are two different Geography books, five different Natural Sciences books, three different History books and four different Mathematics books on a shelf. In how many different ways can they be arranged if all the books of the same subjects stand toge | c) 829440 |
| How many words with seven letters are there that start with a vowel and end with an A? Note that they don’t have to be real words and letters can be repeated. | d) 59406880 |
| A head boy, two deputy head boys, a head girl and 3 deputy head girls must be chosen out of a student council consisting of 14 girls and 16 boys. In how many ways can they are chosen? | b) 27384 |
| mit must choose a seven-digit PIN number and each digit can be chosen from 0 to 9. How many different possible PIN numbers can Amit choose? | a) 10000000 |
| How many even 4 digit whole numbers are there? | c) 4500 |
| A box contains 6 red, 8 green, 10 blue, 12 yellow and 15 white balls. What is the minimum no. of balls we have to choose randomly from the box to ensure that we get 9 balls of same color? | 47 |
| How many numbers must be selected from the set {1, 2, 3, 4} to guarantee that at least one pair of these numbers add up to 7? | b) 5 |
| A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum no. of marbles you have to choose randomly from the bag to ensure that we get 4 marbles of same color? | 10 |
| How many strings of 5 letters contain ’a’ at least once? | 2115751 |
| A sandwich with turkey and mayonnaise is made by choosing a bread, turkey, a vegetable, and mayonnaise. There are 5 outcomes for the event of choosing bread, there is 1 outcome for the event of choosing turkey, there are 12 outcomes for the event of choos | 19 |
| A student can choose a computer project from one of three lists. The three lists contain 22, 15, and 20 possible projects respectively. How many possible projects are there to choose from? | 57 |
| It states that if an event can be chosen in p different ways and another independent event can be chosen in q different ways, the number of different arrangements of the events is p x q. | Counting Principle |
| How many bit strings are there of length 6 or less, (including the one with length 0)? | 127 |
| For independent events A, B and C, if there are 10 outcomes in event A , 10 outcomes in event B and 20 outcomes in event C then there are ___________ outcomes for events A, B and C together. | 2000 |
| Choose 2 teachers, one from room A (5 teach- ers), the other from room B (7 teachers), to form a committee of 2. The total number of ways ______________. | 35 |
| There are 18 math majors and 325 CS majors How many ways are there to pick one math major and one CS major? | 343 |
| There are two different Geography books, five different Natural Sciences books, three different History books and four different Mathematics books on a shelf. In how many different ways can they be arranged if all the books of the same subjects stand toge | c) 829440 |
| How many ways to answer 10 multiple choice questions, when each question has 4 holes to tick. Assume that only 0 or 1 hole may be ticked. | 9765625 |
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