Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 40415: A palindromic time is one that reads the same forward as it does backward. For example 12:21 and 4:04 are palindromic times. A 12hr digital clock displays all times frm 12:00 to 11:59. Frm 12:00 noon to 12:00 noon the next day, how many palindromic times does the digital clock display?
Answer.114
Solution please, thank you

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Question 40374: The difference of two numbers is 29. The second is 7 less than 3 times the first. What are the two numbers?

Thank you!!!

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Question 40351: DIRECT VARIATION
Find an equation of variation where y varies directly as x and y=2 when x=10 find y when x = -25.
y=____
Thanks you very much

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Question 40511: From the same store, Anne bought 3 loaves of bread and 2 bottles of milk for $15.30, and Joe bought 2 loaves of bread and a bottle of milk for $9.20. What is the price for one of each?
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Question 40569: If 4 workers can paint 5 trucks 1 hour, how many will be needed to paint 200 trucks in 8 hours?
Thank You.

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Question 40565: If m varies directly as n and inversly as o, and m=20 when n=50 and o=10, find m when n=96 and o=16.
m=____
Thank You.

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Question 40565: If m varies directly as n and inversly as o, and m=20 when n=50 and o=10, find m when n=96 and o=16.
m=____
Thank You.

Click here to see answer by longjonsilver(2297) About Me 

Question 40627: please help
if y varies inversely as x, and y=12 when x=6, what is k, the variation constant?

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Question 40592: Joanne sets up her Ninja turtles in a big circle with each turtle spaced an equal distance from its neighbors. She then proceeds to count them in order around the circle. Unfortunately, she loses track of where she started before she finishes counting. But she realizes that she can still figure out how many turtles are in the circle by noticing that the sixth turtle is directly opposite the 17th turtle. How many Ninja turtles are in the circle?
HELP>

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Question 40630: please help
use the remainder theorem to determine the remainder when 3t%5E2%2B5t-7 is divided by t-5

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Question 40591: How many 9 onch square floor tiles are needed to cover a rectangular floor that measures 12 ft. by 15 ft.
12x12=144 inches
12X15=180 inches
Each tile 9 inches
9 divided into 144=16
9 divided into 180=20; 16 X 20= 320 tiles
Is this right?

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Question 40590: A ball rebounds one-half the height from which it is dropped. The ball is dropped from a height of 160 ft. and keeps on bouncing. What is the total vertical distance the ball will travel from the moment it is dropped to the moment it hits the floor for the fifth time?
I have no clue how to solve this.

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Question 34252: The distance d, in feet, a bomb falls in t seconds is given by d+=+%2816t%5E2%29%2F%281%2B.06t%29+
How many seconds are required for a bomb released at 21,000 feet to reach its target? (If necessary, round your answer to two decimal places.)

A) 1167.12 seconds

B) 185.76 seconds


C) 92.88 seconds

D) 2972.19 seconds

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Question 40699: A chemist22 has 300 mililites of solution that is 18% acid. How many mililiters of acid are in the solution?
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Question 40689: I am wondering if I factored this correctly?
The roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be?
I come up with x = 33

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Question 40713: 92. Sam must have an average of 70 or more in his summer course to obtain a grade of C.His first three test grades were 75,63,and 68.write an inequality representing the score that sam much get on the last test to get a C grade.
Click here to see answer by checkley71(8403) About Me 
Question 40713: 92. Sam must have an average of 70 or more in his summer course to obtain a grade of C.His first three test grades were 75,63,and 68.write an inequality representing the score that sam much get on the last test to get a C grade.
Click here to see answer by Earlsdon(6294) About Me 

Question 40629: please help
use the remainder theorem and the factor theorem to determin whether (b+4) is a factor of %28b%5E3%2B3b%5E2-b%2B12%29

Click here to see answer by Nate(3500) About Me 

Question 40628: please help
use the remainder theorem and the factor theorem to determine whether (y-3) is a factor of %284y%5E4%2B2y%5E2-4%29

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Question 40587: A worm is at the bottom of a 12 ft. wall. Every day it crawls up 3 ft., but at night it slips down 2 ft. How many days does it take the worm to get to the top of the wall? How do I solve this?
Click here to see answer by rajagopalan(174) About Me 

Question 40810: Walter ia a waiter. he earns a daily wage of $50, plus tips that are equal to 15% of the total dinners he serves. what was the total cost of the dinners he served if he earned $170 on tuesday?
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Question 40593: Call Betty as B, Isabel as I and so on.
Draw a horizontal straight line and mark any point on it and name it U (as the name of Ursula features twice in the problem).
This is the position of Ursula.
Assume all the runners are going left to right.
Now mark the point B to the left of U as Bethy finished behind Ursula.
Distance between B and U is 30 cm (12 in = 30 cm).
In the same way mark the points A and L and note their distances from U and A are 7.5 cm and 500 cm respectively.
Nothing is mentioned about Isabel.
So assume that she is neither first nor last.
From the figure you draw it is clear that U is first and L is last.
Find from the figure, distance between U and L = 507.5 cm.
As C finished half way between the first and last person, so mark C on the figure as the mid-point of the line segment UL.
Note: LC = UC = 507.5%2F2 = 253.75 cm.
Forget about Isabel.
Look at the figure and you will be able to tell that U finished first, then A, then B, then C and then L at last.
Distance between two women is the length between the points marked with the first letters of their names.
Note AU = 7.5 cm, AB = 22.5 cm, BC = 223.75 cm and BL = 253.85 cm.
Well, no comment on Isabel unless any further data is given.

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Question 40589: Roberto is shopping in a large department store with many floors. He enters the store on the middle floor from a skyway, and immediately goes to the credit department. After making sure his credit is good, he goes up three floors to the housewares department. The he goes down five floors to the children's department. Then he goes up six floors to the TV department. Finally, he goes down 10 floors to the main entrance of the store, which is on the first floor, and leaves to go to another store down the street. How many floors does the department store have?
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Question 40843: Let the first biker left the ranger station at 'x' hrs.
Then by 4 pm he rode for ((4+12) - x) = (16 - x) hrs.
Distance traveled by him = 10%2A%2816+-+x%29 miles.
The second biker left the ranger station 1 hr after the first biker.
So he traveled for ((16 - x) - 1) = (15 - x) hrs.
Distance traveled by him = 15%2A%2815+-+x%29 miles.
As both bikers met at 4 pm so by then they have travelled equal distances.
So 15%2A%2815+-+x%29+=+10%2A%2816+-+x%29
Solving we get x = 13.
Thus the first biker left the ranger station at 13 hrs or 1 pm.

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Question 40647: Call the places by the first letter of their name e.g. Arachnid by A, Feline by F and so on.
The notation A->F means travelling from A to F and AF denotes distance traveled by going from A to F or F to A.
/
First: shortest(FB) = ?
F->B can be either F->T->B or F->L->B.
In first case FB is (6 + 9) = 15 miles and
in the second case FB is (11 + 12) = 23 miles.
Clearly 15 < 23. So shortest path is F->T->B and corresponding distance = 15 miles.
/
Second: shortest(LT) = ?
L->T can be either L->F->T or L->B->T.
In first case LT is (11 + 6) = 17 miles and
in the second case LT is (12 + 9) = 21 miles.
Clearly 17 < 21. So shortest path is L->F->T and corresponding distance = 17 miles.
/
Third: shortest(CF) = ?
C->F can be either C->L->F or C->A->T->F or C->B->T->F.
In first case CF is (3 + 11) = 14 miles,
in second case CF is (15 + 1 + 6) = 22 miles and
in third case CF is (7 + 9 + 6) = 22 miles.
Clearly 14 < 22. So shortest path is C->L->F and corresponding distance = 14 miles.
/
Do the rest of the problem yourself following the procedure above.
The answers of fourth part onwards are 18, 16, 12 and 7 miles respectively.

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Question 40946: What is the formula to solve this?

The Perimeter of a rectangle is 600. The length of the rectangle is 2 more than 3 times the width.

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Question 40937: Suppose you buy one ticket for a dollar out of a lottery of a 1000 tickets. Where the prize is $500. What is your expected value?
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Question 40937: Suppose you buy one ticket for a dollar out of a lottery of a 1000 tickets. Where the prize is $500. What is your expected value?
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Question 40926: iF x varies inversely as y^2 and x=3 when y=24, find x when y=6
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Question 40934: A certain radioactive isotope has a half life of aprox 1600 years. How many years to the nearest year would be required for a given amount of this isotope to decay to 60% of that amount?
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Question 40929: Boiling water, at 100C is placed in a freezer at 0 degree celsius. The temperature of the water is 6 degree celsius after six minutes. What is the temperature after 2 hours?
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Question 40935: A company makes 3 types of cable. Cable A requires 3 black,3 white, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red wire. Cable C requires 2 black,1 white, and 2 red. They used 100 black, 110 white, and 80 red. how many were made of each?
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Question 40961:
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Question 40961:
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Question 40992: Is S varies directly as t^2,s=150 when t=5, find s when t=4
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Question 41012: please help
use the remainder theorem and the factor theorem to determine whether (y-3) is a factor of %28y%5E4%2B2y%5E2-4%29.
a)the reminder is 0 and, therefore (y-3)is a factor of %28y%5E4%2B2y%5E2-4%29
b)the remainder is 0 and, therefore, (y-3) isn't a factor of %28y%5E4%2B2y%5E2-4%29c)the remainder isn't 0 and, therefore, (y-3) is a factor of %28y%5E4%2B2y%5E2-4%29
d)the remainder isn't 0 and, therefore, (y-3) isn't a factor of %28y%5E4%2B2y%5E2-4%29

Click here to see answer by stanbon(75887) About Me 

Question 41014: which of the following is an arithmatic sequence?
a)-2,1,4,7,10,.....
b)5,0,-1,-3,-7,.....c)2,3,5,7,11,13,17,.....
d).35,.5,.85,1.1,1.22,.....

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Question 41029: Use the remainder theorem to determine the remainder whend%5E4%2B2d%5E2%2B5d-10 is devided by d+4.
a)41
b)106
c)126
d)258

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Question 41033: use the remainder theorem ana the factor theorem to determine whether (c+5) ia a factor of %28c%5E4%2B7c%5E3%2B6c%5E2-18c%2B10%29.
a)the remainder is 0 and therefore, (c+5) is a factor
b)the remainder is 0 and therefore (c+5) isnt a factor
c)the remainder isnt 0 and therefore (c+5) is a factor
d)the remainder isnt 0 and therefore (c+5)isnt a factor

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Question 41030: if y=7.2 when x=10, what is the value of x when y=20? (y varies inversely as the square of x.)
a)6
b)10
c)14.4
d)20

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Question 41025: What is the sum of the first ten positive integers?
a)50
b)55
c)95
d)100

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Question 41022: Use the remainder theorem to determine the remainder when 5w%5E3-2w%2B10 is devided by w+3.
a)-119
b)46
c)61
d)139

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Question 41020: please help
if x iss inversely proportional to y, and x=60 when y=0.5, find x when y=12.
a).04
b)2.5
c)25
d)360

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Question 41018: please help
what is the quotient of%28b%5E3%2B4b%5E2-3b%2B126%29/(b+7)?

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Question 41019: please help
THe first two terms of a geometric sequence are a1=1/3 and a2=1/6. what is a8, the eighth term?
a)1/128
b)1/256
c)1/384
d)1/768

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690