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i really do not like to post a bunch of questions at a time but seems everybody is ok with this practice. i will post seperately if any.
20. Real Price R = S(100)/P, where R is real salary, S is actual salary and P is consumer price index, Has the real price changed from 1970 to 1980 (dates may not be appropriate)?
I. The actual salary increased by 94% during this period
II. Don’t recollect (something like P increased by 82%.
21. What is B?
I. a+2b = 6
II. 3a+6b=12
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
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?
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?
25. Given X is +ve, sqrt X > 20?
I. x>400
II. 2*sqrt>40
26. Two points given A (-1, -3) and B (1,5), distance between A and B?
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
29. Which of the following cannot be a prime number?
X+1, X^2+1, X^2+2X+1(my ans), XX, YY
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Real Price R = S(100)/P, where R is real salary, S is actual salary and P is consumer price index, Has the real price changed from 1970 to 1980 (dates may not be appropriate)?
I. The actual salary increased by 94% during this period
II. Don’t recollect (something like P increased by 82%.
St1:
S increases by 94%, but P may increase by even more, thus dragging down R. Insufficient.
St2:
P increases by 82% but S may decrease by even more, thus dragging down R. Insufficient.
Using st1 and St2:
New R = 1.94S(100)/1.82P = 1.06[S(100)/p]. So there is an increase by 1.06. SUfficient.
This question has a problem. If we take equation (1) and multiply 3 through, we get 3a+6b = 18. Statement 2 tells us 3a+6b = 12. So 3a+6b is yielding two different results.
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.
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?
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.
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.
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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