Couple of Questions

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adorendra
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Topic: Couple of Questions

Wed Feb 03, 2010 7:06 am

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1. 4. The Arithmetic sequence t1, t2, t3…………………. tn …………… t1 = 23 and tn =tn-1 -3 for each n>1. What is the value of n when tn = -4
I.-4 II. 7 III 10 IV. 14 V. 24

2. If X>Y^2>Z^4 which of the following statement could be true?
I. X>Y>Z II. Z>Y>X III. X>Z>Z

3. A certain office supply store stocks 2 sizes of self stick note pads, each in 4 colors: blue, green, yellow and pink. The notepads in the packages that contain either 3 notepads of the same size and same colors or 3 notepads of the same size and 3 different colors.
If the order in which the colors are picked is not considered, how many different packages of the type described above are possible.

I. 6 II. 8 III. 16 IV. 24 V 32

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sars72
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Wed Feb 03, 2010 7:20 am

adorendra wrote: 1. 4. The Arithmetic sequence t1, t2, t3…………………. tn …………… t1 = 23 and tn =tn-1 -3 for each n>1. What is the value of n when tn = -4 I.-4 II. 7 III 10 IV. 14 V. 24 t1=23 t2= 23-4 = 20 t3=20-3=17 t4=17-3=14 --> IV. 14 is the answer

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ajith
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Wed Feb 03, 2010 7:22 am

adorendra wrote: 1. 4. The Arithmetic sequence t1, t2, t3…………………. tn …………… t1 = 23 and tn =tn-1 -3 for each n>1. What is the value of n when tn = -4 I.-4 II. 7 III 10 IV. 14 V. 24 2. If X>Y^2>Z^4 which of the following statement could be true? I. X>Y>Z II. Z>Y>X III. X>Z>Z 3. A certain office supply store stocks 2 sizes of self stick note pads, each in 4 colors: blue, green, yellow and pink. The notepads in the packages that contain either 3 notepads of the same size and same colors or 3 notepads of the same size and 3 different colors. If the order in which the colors are picked is not considered, how many different packages of the type described above are possible. I. 6 II. 8 III. 16 IV. 24 V 32 1.) t1 = 23 t2 = t1-3 = 20 tn = 23-(n-1)3 =-4 (n-1)3 = 27 n =10 2)if x>y^2>z^4 x>y>z is possible when x,y,z are greater than 1 say x=16, y =3 and z=1 z>y>z is also possible say x =.3, y= .4 and z =0.5 so i & ii are possible 3) 42= 8 of same colour same size 4C32 =8 of different colour same size Total choices =8+8 =16 _________________ Always borrow money from a pessimist, he doesn't expect to be paid back. Last edited by ajith on Wed Feb 03, 2010 7:25 am; edited 1 time in total

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ajith
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Wed Feb 03, 2010 7:23 am

sars72 wrote: adorendra wrote: 1. 4. The Arithmetic sequence t1, t2, t3…………………. tn …………… t1 = 23 and tn =tn-1 -3 for each n>1. What is the value of n when tn = -4 I.-4 II. 7 III 10 IV. 14 V. 24 t1=23 t2= 23-4 = 20 t3=20-3=17 t4=17-3=14 --> IV. 14 is the answer The question needs the value of n when tn = -4 and not t4 _________________ Always borrow money from a pessimist, he doesn't expect to be paid back.

sars72
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Wed Feb 03, 2010 7:24 am

adorendra wrote: 2. If X>Y^2>Z^4 which of the following statement could be true? I. X>Y>Z II. Z>Y>X III. X>Z>Z question is which COULD be true and not which MUST be true.. so let's solve bearing that in mind I. X>Y>Z taking X = 100, y = 5, z = 2, and plugging in the equation --> 100 > 25 > 4, which is correct Hence, I is the answer

sars72
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Wed Feb 03, 2010 7:25 am

ajith wrote: sars72 wrote: adorendra wrote: 1. 4. The Arithmetic sequence t1, t2, t3…………………. tn …………… t1 = 23 and tn =tn-1 -3 for each n>1. What is the value of n when tn = -4 I.-4 II. 7 III 10 IV. 14 V. 24 t1=23 t2= 23-4 = 20 t3=20-3=17 t4=17-3=14 --> IV. 14 is the answer The question needs the value of n when tn = -4 and not t4 oops.. my bad. thanks for pointing it out

ajith
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Wed Feb 03, 2010 7:27 am

sars72 wrote: question is which COULD be true and not which MUST be true.. so let's solve bearing that in mind I. X>Y>Z taking X = 100, y = 5, z = 2, and plugging in the equation --> 100 > 25 > 4, which is correct Hence, I is the answer If x,y,z is in between 0 and 1, II is also possible (see the example above) _________________ Always borrow money from a pessimist, he doesn't expect to be paid back.