In a game of chess, the moves of white and black pieces alternate, with white pieces having the first move. During a certain chess tournament, the white pieces have made 2319 moves altogether, while the black pieces have made a total of 2315 moves. In every game, either the white side wins, black side wins, or there is a draw. If it is impossible for the losing side to make the last move in a game, which of the following could be true about the tournament?
1) the black sides lost 5 games 2) the black sides won more games than the white sides. 3) all games ended in a draw.
A) 3 only B) 1 & 2 only C) 1 & 3 only D) 2 & 3 only E) 1, 2, & 3.
As per me the answer should be A, is that the OA ??
Ratio Problem Foodmart customers regularly buy at least one of the following products: milk, chicken,or apples.60%of shoppers buy milk,50% buy chicken,and35% buy apples.If10%of the customers buy all3 products, what percentage of Foodmart customers purchase 2of the above products? :sarcasm:
Ratio Problem Foodmart customers regularly buy at least one of the following products: milk, chicken,or apples.60%of shoppers buy milk,50% buy chicken,and35% buy apples.If10%of the customers buy all3 products, what percentage of Foodmart customers purchase 2of the above products? :sarcasm:
Ratio Problem Foodmart customers regularly buy at least one of the following products: milk, chicken,or apples.60%of shoppers buy milk,50% buy chicken,and35% buy apples.If10%of the customers buy all3 products, what percentage of Foodmart customers purchase 2of the above products? :sarcasm:
using this we get the answer of ((nA@B)+(nA@BC)+(nC@B)) as 55 and substracting the 30 (10+10+10) from it as we need to find only the numbers of customers who purchase 2 of the items hence 25%
using this we get the answer of ((nA@B)+(nA@BC)+(nC@B)) as 55 and substracting the 30 (10+10+10) from it as we need to find only the numbers of customers who purchase 2 of the items hence 25%
Q. How many integers between 0 and 1560 have a prime tens digit and a prime units digit.
A) 295 B) 252 (OA) C) 236 D) 96 E) 76
Can someone please explain how to solve this question without actual manual counting?
Regards MSD
hmm...counting takes time??...guess it's a minute affair.. jus find such nos. from 1 to 100 which coms to 16.... extend it upto 1600 as 16*16 = 256 and subtract all such nos... >1560 and anser->252
n(AUBUC)= n(A)+n(B)+n(C)-((nA@B)+(nA@BC)+(nC@B))+(nA@B@C) where @ denotes intersection
using this we get the answer of ((nA@B)+(nA@BC)+(nC@B)) as 55 and substracting the 30 (10+10+10) from it as we need to find only the numbers of customers who purchase 2 of the items hence 25%
also the venn diagram gives the same result...
Well even I was getting D as the answer so i think the OA is misprinted.
Ratio Problem Foodmart customers regularly buy at least one of the following products: milk, chicken,or apples.60%of shoppers buy milk,50% buy chicken,and35% buy apples.If10%of the customers buy all3 products, what percentage of Foodmart customers purchase 2of the above products? :sarcasm: A)5% B)10% C)15% D)25% E)30% OA : C
Well, the answer should be C. Let me explain..... Here, we've been asked the percentage of customers who purchased exactly 2 of the products. So we dont need to count those who purchased all three products. Hence, 60 + 50 + 35 - 3(10) = 145 - 30 = 115 Therefore 15% is the answer. If the question would have been ... what is the percentage of customers who purchased 2 or more products...then we would have subtracted 2(10) i.e 20 and then the answer would have been 25%. Any views?
Well, the answer should be C. Let me explain..... Here, we've been asked the percentage of customers who purchased exactly 2 of the products. So we dont need to count those who purchased all three products. Hence, 60 + 50 + 35 - 3(10) = 145 - 30 = 115 Therefore 15% is the answer. If the question would have been ... what is the percentage of customers who purchased 2 or more products...then we would have subtracted 2(10) i.e 20 and then the answer would have been 25%. Any views?
Regards MSD
I think this approach is not correct. when you say no. of people buying exactly two, you calculate it as 60 + 50 + 35 -3(10) - ALL here you put ALL as 100 but actually it should be 90. I guess a Venn Diagram makes it clearer.
Well, the answer should be C. Let me explain..... Here, we've been asked the percentage of customers who purchased exactly 2 of the products. So we dont need to count those who purchased all three products. Hence, 60 + 50 + 35 - 3(10) = 145 - 30 = 115 Therefore 15% is the answer. If the question would have been ... what is the percentage of customers who purchased 2 or more products...then we would have subtracted 2(10) i.e 20 and then the answer would have been 25%. Any views?
Regards MSD
Let milk, chicken and aples be represented by M, C and A respectively. Given n(M)=0.25x, n(C)=0.5x, n(A)=0.35x Given percentage of shoppers who buy all 3 items is 0.1x, where x represents total size of shoppers Let a,b and c represent %age who buy both milk and chocolate, milk and apples and and chicken and apples respectively. Only milk = 0.5x-(a+b) Only chicken= 0.4x-(a+c) Only apples= 0.25x-(b+c) Adding up all 1.15x-2(a+b+c)+(a+b+c)+0.1x=x hence (a+b+c)=0.25x
Let milk, chicken and aples be represented by M, C and A respectively. Given n(M)=0.25x, n(C)=0.5x, n(A)=0.35x Given percentage of shoppers who buy all 3 items is 0.1x, where x represents total size of shoppers Let a,b and c represent %age who buy both milk and chocolate, milk and apples and and chicken and apples respectively. Only milk = 0.5x-(a+b) Only chicken= 0.4x-(a+c) Only apples= 0.25x-(b+c) Adding up all 1.15x-2(a+b+c)+(a+b+c)+0.1x=x hence (a+b+c)=0.25x
OA=25%
Regards
in continuation to my above post, the ques here imlies"how many shoppers buy exactly 2 of the 3 products" which is 25%
had the ques been "how many shoppers buy at least 2 products" it wud be 35%