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sharadGmat
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acfuture
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ps_dahiya
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1) b

Condition 1 : n^2 is integer
Let n^2 be 2 then n^3 is not an integer. Let n^2 = 4 then n^3 is an integer

Consition 2 : SqrN is integer
let sqr N = 2 hence N = 4 and n^3 is integer

2) C

Probability that all the students will get it wrong = 3/4*3/5*5/8 = 9/32
Probabiltiy that at least one will get it write = 1-9/32 = 23/32
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acfuture
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ps_dahiya
Q26.
B
St1: Say m^2= 8 then m is not an integer and m^3 will also be a non-integer. Say m^2 = 9 then m is an integer and m^3 will be an integer.: INSUFF

St2: if SQRT(m) is an integer then m will always be an integer and m^3 will always be an integer.: SUFF

Q27.

C

Prob of all getting wrong = 3/4 * 3/5 * 5/8 = 9/32

Prob of atleast one of them getting right = 1-9/32 = 23/32


:beat
thanks on 26...
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B.

(1) is insufficient -- consider sqr root (2) and 2
(2) sufficient. if a sqaure root is an integer, cubed will be an integer as well

C.

Probability all wrong -- (3/4)(3/5)(5/8) = 9/32
At least one right = 1-9/32 = 23/32
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This is the second time I got a question similar to #26 wrong :(, and i suck at probability questions.
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acfuture
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shampoo
This is the second time I got a question similar to #26 wrong :(, and i suck at probability questions.


i am not good at them either, but one thing I have learned is that a lot of question ask for the probability of something happening, and I have seen many people solve those questions by finding the prob of not happening and subtracting by 1.
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Q27.

If Prob of successes are 1/4, 2/5, 3/8
probability of failure are 3/4, 3/5, 5/8

P(Atleast One Solution) = 1 - P(No Solution)
= 1 -((3x3x5)/(4x5x8)) = 115/160 = 23/32

Solution : C.

Q26. B. Stmt2 is sufficient.

S1 : m^2 is integer. If m = sqrt(7) or sqrt(4) then two different answers. Not sufficient.

S2 : if sqrt(m) is integer then
m^3 = sqrt(m^6) = sqrt(m)Xsqrt(m)Xsqrt(m)Xsqrt(m)Xsqrt(m)Xsqrt(m) => integer.

Sufficient.
Answer : B.
. Sufficient.



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