A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each dat, but that no other piece of clothing is repeated? A) (1/3)^6 (1/2)^3 B) (1/3)^6 (1/2) C) (1/3)^4 D) (1/3)^2 (1/2) E) 5 (1/3)^2
Ok ...Lets keep the order as shirts, shoes and pants resp .
Day 1 : no probability asssociate since he can just choose any shirt, shoes and pants
Day 2 : shoes should repeat and shirt and pant should repeat.
Shirt = 2/3 ( he can choose any 1 of the rem 2 from available 3) shoes =1/2 ( he should select the same pair from 2) pant = 2/3
Day 3 :
Shirt =1/3 ( he has to choose the left over shirt from total 3) shoes = 1/2 pant = 1/3
U mult all prob to arrive at ans since he has to wear each clothing on each day
2x=b and b Now among the ans choices, the range should be complete range or its sub set to be def true ...and not the option where our conclusion is the subset of the ans option ...
Conditions are b Substitute b as +1/2 and -1/2 and see which of these has to hold true. You will see that for no value of b either +ve or -ve and less than 1, can we have a value of x > 3. So X has to be always less than 3.
2x=b and b Now among the ans choices, the range should be complete range or its sub set to be def true ...and not the option where our conclusion is the subset of the ans option ...
Olivier is an abstract painter who is working on a series of paintings. If each of these paintings has three identical blue vertical stripes, two identical red vertical stripes and two identical black vertical stripes spaced evenly across a square canvass, how many distinct paintings could Oliviers series include?
Again.. dunno the OA, want to confirm my answer :)
There are 7 types of pizza toppings that Al can order put on his pizza: anchovies, broccoli, extra cheese, pepperoni, eggplant, peppers, and pineapple. Al hates the combination of anchovies and pineapple, but loves any other combination of toppings. How many different combinations of 3 toppings could Al order that he likes (assuming that he orders any topping no more than once in any given combination)? (A) 70 (B) 60 (C) 50 (D) 35 (E) 30
How many even, three digit integers greater than 700 with distinct, non- zero digits are there? (A) 729 (B) 243 (C) 108 (D) 88 (E) 77
How to solve this in quick time.. ;)
3 digit integers greater than 700 1st place can be filled in 3 ways: 7, 8 or 9 2nd place can be filled in 9 ways: 1-9 3rd place can be filled in 9 ways: 1-9
Total possible numbers: 3*9*9=243 Answer is B. What is the OA?
Again.. dunno the OA, want to confirm my answer :)
There are 7 types of pizza toppings that Al can order put on his pizza: anchovies, broccoli, extra cheese, pepperoni, eggplant, peppers, and pineapple. Al hates the combination of anchovies and pineapple, but loves any other combination of toppings. How many different combinations of 3 toppings could Al order that he likes (assuming that he orders any topping no more than once in any given combination)? (A) 70 (B) 60 (C) 50 (D) 35 (E) 30
Olivier is an abstract painter who is working on a series of paintings. If each of these paintings has three identical blue vertical stripes, two identical red vertical stripes and two identical black vertical stripes spaced evenly across a square canvass, how many distinct paintings could Oliviers series include?
How many even, three digit integers greater than 700 with distinct, non- zero digits are there? (A) 729 (B) 243 (C) 108 (D) 88 (E) 77
How to solve this in quick time.. ;)
the first digit can take three values-7,8,9 the second digit can take 9 values-1,2,3,4,5,6,7,8,9 the third digit can take four values-2,4,6,8 so total combinations=3*9*4=108
Again.. dunno the OA, want to confirm my answer :)
There are 7 types of pizza toppings that Al can order put on his pizza: anchovies, broccoli, extra cheese, pepperoni, eggplant, peppers, and pineapple. Al hates the combination of anchovies and pineapple, but loves any other combination of toppings. How many different combinations of 3 toppings could Al order that he likes (assuming that he orders any topping no more than once in any given combination)? (A) 70 (B) 60 (C) 50 (D) 35 (E) 30
i think question is-select three out of seven things when two things can not be together- case1.when one thing is selected out of two-2C1=2 when two things are selected out of five-5C2=10 so total=2*10=20 case2. will also be same when out of two things the second one is selected=20 case3.When two things are selected out of five-5C3=10 so total=20+20+10=50
A jar contains 30 marbles, of which 20 are red and 10 are blue. If 9 of the marbles are removed, how many of the marbles left in the jar are red?
(1) Of the marbles removed, the ratio of the number of red ones to the number of blue ones is 2 : 1. (2) Of the first 6 marbles removed, 4 are red.
A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D EACH Statement ALONE is sufficient. E Statements (1) and (2) TOGETHER are NOT sufficient.
