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24 Jan 2026, 03:45
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Difficulty:
45%
(medium)
Question Stats:
54% (00:57) correct
46%
(01:01)
wrong
based on 149
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When a cookie is taken at random from a jar, what is the probability that it is chocolate flavored?
(1) There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
(2) One third of the cookies in the jar are almond flavored.
(1) There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
(2) One third of the cookies in the jar are almond flavored.
24 Jan 2026, 06:20
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When a cookie is taken at random from a jar, what is the probability that it is chocolate flavored?
(1) There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
(2) One third of the cookies in the jar are almond flavored.
Let the total number of cookies in the jar be X.
Thus, we are required to find out the value of (Chocolate cookies/X).
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
Thus, assuming the no. of chocolate cookies to be C and the number of almond cookies to be A, we get: C = 2A
Thus, the required ratio = C/X = 2A/X
However, we are not able to arrive at any unique value for this ratio. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: One third of the cookies in the jar are almond flavored.
This statement tells us about the fraction of almond cookies in the jar, but nothing about the number or fraction of chocolate cookies is given. We cannot directly assume that the remaining cookies are chocolate flavoured, as it has nowhere been given that there are only 2 types of cookies - almond and chocolate ones in the jar.
Hence, Statement 2 is also insufficient alone.
Now, let's look at the combination of Statement 1 and 2 together:
A = X/3
C = 2A or A = C/2
Thus, C/2 = X/3
Hence, C/X = 2/3
Hence, the correct answer is Option C - Both statements together are sufficient, but neither alone is.
Hope this helps!
(1) There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
(2) One third of the cookies in the jar are almond flavored.
Let the total number of cookies in the jar be X.
Thus, we are required to find out the value of (Chocolate cookies/X).
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: There are twice as many chocolate flavored cookies as there are almond flavored cookies in the jar.
Thus, assuming the no. of chocolate cookies to be C and the number of almond cookies to be A, we get: C = 2A
Thus, the required ratio = C/X = 2A/X
However, we are not able to arrive at any unique value for this ratio. Hence, Statement 1 is insufficient alone.
Now, let's take a look at Statement 2 closely:
Statement 2: One third of the cookies in the jar are almond flavored.
This statement tells us about the fraction of almond cookies in the jar, but nothing about the number or fraction of chocolate cookies is given. We cannot directly assume that the remaining cookies are chocolate flavoured, as it has nowhere been given that there are only 2 types of cookies - almond and chocolate ones in the jar.
Hence, Statement 2 is also insufficient alone.
Now, let's look at the combination of Statement 1 and 2 together:
A = X/3
C = 2A or A = C/2
Thus, C/2 = X/3
Hence, C/X = 2/3
Hence, the correct answer is Option C - Both statements together are sufficient, but neither alone is.
Hope this helps!
01 Mar 2026, 11:44
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May I ask you all to elaborate on the answer, pls.
As I've noticed from many similar questions, if it is not defined clearly that there are ONLY Almond and Chocolate Flavoured cookies, for such questions, the right answer is E. Even if we combine statements (1) and (2), it doesn't define the mentioned.
As I've noticed from many similar questions, if it is not defined clearly that there are ONLY Almond and Chocolate Flavoured cookies, for such questions, the right answer is E. Even if we combine statements (1) and (2), it doesn't define the mentioned.
