Question: There are 5 sweets Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days Monday through Friday, one sweet a day, based on the following self imposed constraints:
1) Laddu is not eaten on Monday
2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday
3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday
4) Peda is eaten the day following the day of eating Jilabi
Based on the above, peda can be eaten on any day except?
Options:
(A) Tuesday
(B) Monday
(C) Wednesday
(D) Friday
(E) Sunday
Ans: (B)
CoT: Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday.
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Question: If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
Options:
(A) xy/z
(B) (x + y) /z
(C) xz/y
(D) (x - y) /z
(E) (x + z) /y
Ans: (E)
CoT: As per the question, let x = 12, y = 6, and z = 2. Plugging these into the answer choices, only E does not yield an integer. The reason is that (x + z)/y = x/y + z/y, and while x/y must be an integer, z/y is only an integer if y = z.
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Question: What is the sum of all the prime numbers greater than 30 but less than 50?
Options:
(A) 126
(B) 199
(C) 198
(D) 188
(E) 122
Ans: (B)
CoT: Required sum = (31 + 37 + 41 + 43 + 47) = 199
Note: 1 is not a prime number
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