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A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kg. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight, in kg, of the heaviest box ?
A)60
B)61
C)64
D)Can't be determined
E)None
Correct Answ... | deepmind/aqua_rat |
Subtracting equation 2 from equation 1, we get, b1 + b3 + b5 = 173.
We know that b1 + b3 = 112, So b5 = 173 - 112 = 61 = Desired answer.
Answer : B | deepmind/aqua_rat |
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% sunflower. If a customer purchases a mix of the two types of birdseed that is 50% sunflower, what percent of the mix is Brand A?
A)40%
B)45%
C)50 %
D)55 %
E)60 %
Correct Answer:E)60 %
R... | deepmind/aqua_rat |
Here is a pictorial representation :
Brand A= 60%------------------------10% or 0.10 above average, A times-----------------Total below = + 0.10 A
----------------------------------------------------------------------------------------Average = 50% or 0.50
Brand B = 35 %--------------------------15% or 0.15 below avera... | deepmind/aqua_rat |
The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits Q of the larger integer?
A)Q=2
B)Q=5
C)Q=8
D)Q=10
E)11
Correct Answer:A)Q=2
Rationale: Really hard. But let's start with few concepts:
1... | deepmind/aqua_rat |
If we take 53, the pair is 51 and 53, meaning x = 26.
8x = 8*26
Reject since perfect square is not possible.
If we take 71, the pair is 69 and 71, meaning x = 35.
8x = 8*35
Reject since perfect square is not possible.
I tried each option and the possibilities and then got lost.
Then, it occurred to me that I was only c... | deepmind/aqua_rat |
Tanya prepared 4 different letters to 3 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
A)1/24
B)1/8
C)1/4
D)1/... | deepmind/aqua_rat |
Event 1 - E1
We know that prob of putting ONE Letter correctly is 1/4. Now once ONE letter has been put CORRECTLY, what are you LEFT with? You are left with THREE ENVELOPES and the remaining THREE letters. Since the one letter has been put correctly (though technically we have just calculated the PROBABILITY that the f... | deepmind/aqua_rat |
However at this point - I must introduce one last element in this question -since there are FOUR Letters - what we saw above was JUST ONE SEQUENCE of events leading to the desired result.
If we arbitrarily call the letters L1 thru L4, and let's say the above was an example in which we started by Picking up Letter L1 an... | deepmind/aqua_rat |
Of the 14,210 employees of the anvil factory, 3/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
A) 14.3%
B) 16.67%
C) 33%
D) 28.6%
E) 49.67%
Correct Answer:A) 14.3%
Rationale: The exam gives us a number that is easily divisible by 7 to piq... | deepmind/aqua_rat |
Using the absolute numbers we calculated before, there were 4,060 journeymen employees out of 14,210 total. If 2,030 of them are laid off, then there are 2,030 journeyman employees left, but now out of a total of (14,210-2,030) 12,180 employees. 2,030/12,180 is exactly 1/6, or 16.67%. The answer will work with either p... | deepmind/aqua_rat |
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