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22. The interest earned on $2000 is given by the equation p = (1.05)^n (x), P is amount after n years, x is the initial amount. is n>4?
1. p is greater than 2200
2. p is less than 3000

p = (1.05)^n(2000)

St1:
p is greater than 2200. So (1.05)^n (2000) > 2200. 1.05^n > 1.1. n > 2. So n may or may not be greater than 4. Insufficient.

St2:
(1.05^n)(2000) < 3000. 1.05^n < 1.5. n<8. So n may or may nor be greater than 4. INsufficient.

Using st1 and st2, 2<n<8. Insufficient.

Ans E
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23. There are 3 red balls and 7 blues balls in A and 8 red balls and 4 blues balls in B.
One ball picked from each basket, what is the probability of getting both blue?

P = (7/10)(4/12) = 7/30
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24. A can complete a work in 24 hours and B can complete in 18 hours, If A and B work for 8 hours, how much of work is remaining?

A -> 1 job in 24 hours -> 1/24 job in 1 hour
B -> 1 job in 18 hours -> 1/18 job in 1 hour
Together, 7/72 job in 1 hour. They work for eight hours, so they have completed 7/9 of the job and 2/9 is remaining.
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26. Two points given A (-1, -3) and B (1,5), distance between A and B?
Distance = sqrt((-1-1)^2 + (-3+5)^2 = sqrt(8)=2sqrt(2)
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28. 560 people surveyed, how many people said yes to B?
I. 140 said yes to A
II. 80 of them who said yes to A also said yes to B

St1:
560-140 = 420 did not say yes to A. But we do not know if all 420 said yes to B either. Insufficient.

St2:
Insufficient. We do not know how many said yes to A, how many said yes to B.

using st1 and st2,

We know 60 said yes to A only, 80 said yes to both. But we still can't work out how many said yes to B as we do not know if there are anyone who said No to both.

Ans E
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29. Which of the following cannot be a prime number?
X+1, X^2+1, X^2+2X+1(my ans), XX, YY

x+1 -> if x = 2, then x+1 = prime.
x^2+1 -> if x = 2, then x^2+1 = prime.
x^2+2x+1 -> (x+1)^2 -> if x = non-prime.
xx -> if x=1, then xx = 11 = prime
YY -> if y=1, then yy = 11 = prime
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St1:
If sqrt(x) = 20, then x = 400. Since x>400, then sqrt(x) > 20. Sufficient.

St2:
sqrtx > 20. Sufficient.

Ans D
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24. Combine the rates 1/24+1/18. 24*18= 432

18/432+24/432=42/432-->21/216-->7/72 is the combined rate. I multiplied them b/c I didnt see that 18 and 24 can BOTH go into 72. owell go to same end.

Anyway D=rt.

d=7/72*8--> 7/9 (how much work has been completed) b/c total work is equal to 100% or 1 just subtract 7/9 from 1

1-7/9-> 9/9-7/9 is 2/9



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