MU-NLPC/Calc-aqua_rat huggingface dataset:
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?  Options
A) 8n + 2 B) 8n + 4 C) 9n + 2 D) 9n + 3 E) 9n + 4

Solution: n items for $8 each   total price $8n   postage and handling of $3 for 1st item and $1 for the rest   total postage and handling = $ [3+ (n-1)]   = $ n+2   total cost   8n+n+2 = 9n+2	;   ANSWER:9n + 2
Answer: C
When m is divided by 9, the remainder is 8. When m is divided by 13, the remainder is 5. If 1 < m < 200, what is the greatest possible value of m?	Choices
A) 47	B) 65	C) 103	D) 117	E) 161

Solution: Looking at the choices, options BD can be eliminated as they are divisible by 13   Starting from the highest number 164;   161 = 153 + 8 (153 divisible by 9)   161 = 156 + 5 (156 divisible by 13)   it fits the result   Answer = 161
Answer: E
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 4% and that of the females by 9% and the total population increases to 9600, then what was the ratio of population of males and females in that given year? Pick one
A) 7 : 8	B) 5 : 4	C) 2 : 3	D) Data inadequate	E) None of these

Solution: Let the population of males = x; then the population of females = 9000 – x   Now, 4% of x + 9% of (9000 – x)   = (9600 – 9000 ) = 600   or 0.04x + 720 – 0.09x = 600   or 720 – 600 = 0.09x – 0.04x   or, 120 = 0.05x   x = 4200   Reqd ratio of population of males and females   4200/9000−4200=4200/4800=7:8   7 : 8nswer 7 : 8
Answer: A
A library has an average of 540 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Choose the correct choice from the following answers
A) 300  B) 276  C) 290  D) 285  E) None

Solution: Since the month begins with sunday,to there will be five sundays in the month   Average required = (540x5 + 240x25) /30) = 290   Answer: Option 290
Answer: C
Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 60 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?  Choose the correct answer
A) 50 miles	B) 60 miles	C) 70 miles	D) 80 miles	E) 90 miles

Solution: Every hour, Nil gets ahead of Ethan  60 - 20= 
 60 - 20 = 40
40 miles. When Nil arrived at the beach, Ethan   is only 20 × 0.5= 10 miles behind. That tells us   they only drove 1 hour when Nil arrived at the   beach.   The distance between their home and the beach   is   Nil’s speed × Nil’s time   = 60 × 1 = 60 miles.   correct answer 60 miles
Answer: B
A volume of 10940 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
Pick.
A) 2812 B) 8231 C) 2734 D) 2735 E) 4254

Solution: a volume of 4l can be kept in 1 hemisphere   therefore, a volume of 10940l can be kept in (10940/4) hemispheres   ans.2735   ANSWER:2735
Answer: D
If 20% of a certain number is 60, then what is 80% of that number?  Pick.
A) 220
B) 210
C) 240
D) 250
E) 260

Solution: Explanation:   20% = 20*3= 
20*3 = 60
60   80%= 80*3= 
80*3 = 240
240   Answer: Option 240
Answer: C
The Racing magic takes 150 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Choose the correct answer
A) 3 B) 6 C) 9 D) 12 E) 15

Solution: Time taken by Racing magic to make one circle = 150 seconds   Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds   LCM of 90 and 150 seconds = 450 seconds   Time taken for them to meet at the starting point for the second time = 2*450= 
2*450 = 900
900 seconds= 15 mins   Answer 15
Answer: E
At a simple interest 800 becomes 956 in three years. If the interest rate, is increased by 3%, how much would 800 become in three years?
Pick
A) 1020.80
B) 1004
C) 1028
D) Data inadequate
E) None of these

Solution: Rate of interest = 956−800/3×800×100=6.50%   \Amount = 800 + 800×9.5×3/100   = 800 + 228= 
800 + 228 = 1_028
1028   Answer 1028
Answer: C
On a certain plane, 2/5 of the passengers speak English and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?	Choose the correct option
A) 12  B) 15  C) 100  D) 124  E) 130

Solution: Assume the total members = x   English = .4x   Hebrew = .75x   English + Hebrew = 1.15x, but this is not possible hence 15 people speak both languages.   Only English = .25x, Only Hebrew = .6x, both = .15x   Since these are all people, all of these should be whole numbers.   Checking the options:   A. 12. Only Hebrew = 12*0.6= 
12*0.6 = 7.2
7.2 We do not get the people as whole numbers. INCORRECT   B. 15. Only English= 0.25*15 Again we do not get the people as whole numbers. INCORRECT   C. 100 Only English = .25*100= 
.25*100 = 25
25, Only Hebrew= .6*100= 
.6*100 = 60
60, both= .15*100= 
.15*100 = 15
15. We have the people as whole numbers. CORRECT   D. 124   E. 130   Since we have to find the lowest number, no need to calculate for the rest of the options.   100orrect Option: 100
Answer: C
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Select the correct option:
A) 14 B) 56 C) 25 D) 28 E) 62

Solution: A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100   = (100 * 30)/40   = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   Answer:25
Answer: C
On what dates of April, 2001 did Wednesday fall? Choose the correct choice from the following: A) 4th,11th,18th,29th B) 4th,11th,18th,25th C) 4th,11th,18th,85th D) 4th,11th,18th,79th E) 4th,11th,18th,24th

Solution: Explanation:   We shall find the day on 1st April, 2001.   1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)   Odd days in 1600 years = 0   Odd days in 400 years = 0   Jan. Feb. March April   (31 + 28 + 31 + 1)= 
(31 + 28 + 31 + 1) = 91
91 days 0 odd days.   Total number of odd days= (0 + 0 + 0)= 
(0 + 0 + 0) = 0
0   On 1st April, 2001 it was Sunday.   In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th   Answer: 4th,11th,18th,25th) 4th,11th,18th,25th
Answer: B
A race course is 400 m long. AA and BB run a race and AA wins by 5m. BB and CC run over the same course and BB win by 4m. CC and DD run over it and DD wins by 16m. If AA and DD run over it, then who would win and by how much? Answers.
A) 7.1 m  B) 7.2 m  C) 8 m  D) 9 m  E) 11 m

Solution: If AA covers 400m, 7.2 m7.2 m covers 395 m   If 7.2 m7.2 m covers 400m, CC covers 396 m   If DD covers 400m, CC covers 384 m   Now if 7.2 m7.2 m covers 395 m, then CC will cover 396400×395=391.05396400×395=391.05m   If CC covers 391.05 m, then DD will cover 400384×391.05=407.24400384×391.05=407.24   If AA and DD run over 400 m, then DD win by 7.2 m   Option 7.2 m
Answer: B
A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Pick:
A) 200 m B) 300m C) 270m D) 160m E) 150m

Solution: Explanation:   Ratio of the speeds of A and B =5 : 1 = 5 :3   Thus, in race of 5 m, A gains 2 m over B.   2 m are gained by A in a race of 5 m.   80 m will be gained by A in race of 5/2X80 m=200m   Winning post is 200 m away from the starting point.   200 mNSWER IS 200 m
Answer: A
In how many different ways can the letters of the word 'CAREER' be arranged?	Options:
A) 10 ways B) 20 ways C) 180 ways D) 60 ways E) 40 ways

Solution: Totally there are 6 letters on the word CAREER. it contains 1C,1A,2R,2E.   The no of ways is 6!/2!2!=180 ways.   ANSWER:180 ways
Answer: C
5KM is how many miles?
Choose the correct option:
A) 2miles
B) 3.5miles
C) 1.5miles
D) 3.0miles
E) 3.125miles

Solution: 3.125 Miles   5/1.6= 
5/1.6 = 3.125
3.125   Answer:3.125miles
Answer: E
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7  Pick one.
A) 7/12  B) 6/7  C) 5/12  D) 8/7  E) 8/15

Solution: Here n(S)=(6*6)= 
(6*6) = 36
36   let E=event of getting a total more than 7   ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}   P(E)=n(E)/n(S)=15/36=5/12.   Option: 5/12
Answer: C
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?  Answers:  A) 5 days  B) 6 days  C) 9 days  D) 2 days  E) 12 days

Solution: 2M + 3W ----- 35 h   4M + 4W ------- 21 h   7M -------? d   70M + 105W = 84M +84M   21W = 14M => 2M = 3W   4 * 35 = 7 * x => x = 20 hours   20/4= 
20/4 = 5
5 days   5 daysnswer:5 days
Answer: A
Look at this series: 42, 42, 30, 30, 18, 18, .. What number should come next?	Pick one.
A) 06  B) 12  C) 14  D) 32  E) 42

Solution: In this series, each number is repeated, then 12 is subtracted to arrive at the next number.   The answer is option 06 (06)
Answer: A
A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
Choose the correct choice.
A) 9,000	B) 14,000	C) 18,000	D) 22,500	E) 27,000

Solution: selling price - 18,000ost price = 2.5 so per unit profit =2.5   cost to recover =45000   no of items required = 45000/2.5= 
45000/2.5 = 18_000
18000   Answer: 18,000
Answer: C
On dividing 83 by a number, the quotient is 9 and the remainder is 2. Find the divisor? Choose the correct choice from the following options
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: d = (D-R)/Q   = (83 - 2)/9   = 81/9= 
81/9 = 9
9   9)
Answer: C
2 + 2^2 + 2^3 + ... + 2^9 = ?
Choose the correct option
A) 1000  B) 1011  C) 1019  D) 1021  E) 1022

Solution: This is a G.P. in which a = 2, r = 22 = 2 and n = 9.   2   Sn = a(rn - 1) / (r - 1)= 2 x (29 - 1) / (2 - 1)= 2 x (512 - 1) = 2 x 511 = 1022.   1022)
Answer: E
Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 3.5 hours to drive back from City В to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 60 miles per hour. What is the distance between city A and city B? Pick one.
A) 90 B) 120 C) 150 D) 210 E) 300

Solution: 2d/60 = 7 ( because time = 4 + 3.5 - 0.5 hrs)   => d = 210   Answer - 210
Answer: D
The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Pick
A) 265
B) 244
C) 245
D) 238
E) 236

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (110 + X)/30 = 25/2 ==> 2(110 + X) = 750 ==> X = 265 m.   265nswer: Option 265
Answer: A
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in	Choose the correct choice
A) 5 hours B) 7 hours C) 8 hours D) 14 hours E) None

Solution: Solution   Work done by the leak in 1 hour	=(1/2 - 3/7)   ‹=›1/14.   Leak will empty the tank in 14 hours.   Answer 14 hours
Answer: D
A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 5 red and 2 blue samples, and a second jar is chosen at random from a different display containing 3 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the probability that when mixed together, the result will be purple paint? (The color purple is created with 1 part red and 1 part blue.)  Options:
A) 1/5  B) 1/2  C) 2/3  D) 4/5  E) 6/5

Solution: Painter has two buckets he has to randomly pick from 2 different lists ... Let these Lists be A and B ... He has to choose the first bucket from List A , and the second bucket from List B   FOR THE FIRST BUCKET ...   Red color - 2   Blue color - 2   FOR THE SECOND BUCKET   Red color - 3   Blue color -2   In order to get Purple he has to mix red with blue .. Both the LISTS contain either blue or red , therefore we have two scenarios :   Scenario I - He picks Red color from List A and Blue color from List B   Scenario II - He picks Blue color from List A and Red color from List B   Scenario I - Odds for red color from List A are 1/2 .. and for Blue color from List B are 2 /5 .. Multiplying them (because we have to find the odds that both colors are selected from their respective lists together (this is a AND not an OR problem) we get 1/5   Scenario II - Odds for blue color from List A are 1/2 , and for Red color from List B are 3/5 ... Multiplying them we get 3/10 ...   Both the scenarios are equally possible therefore we must ADD the two (not multiply ) because both of them do not have to hold true together (have to independently) for our desired result to be achieved ...   We get 1/5 + 3/10 = 1/5 1/5)
Answer: A
Which of the following points falls outside of the region defined by 2y≤6x−16?  Choose one: A) (5, 1) B) (3, -8) C) (2, 0) D) (0, -14) E) (1, -2)

Solution: Equation given is 2y<=6x-12   Simplifying this; y<=3x-6   Plug in the values provided in the options,   A. 1<=11   B. -8<=3   C. 0<=0   D.-14<=-12   E. -2<=-13   Option (1, -2) is the answer.
Answer: E
Look at this series: 6.2, 6.8, 7.4, 8, ... What number should come next? Choose the correct choice from the following answers:	A) 9	B) 8.9	C) 8.7	D) 8.6	E) 8.5

Solution: 8.6   8.6   In this simple addition series, each number increases by 0.6.
Answer: D
A Man travelled a distance of 70 km in 9 hours. He travelled partly on foot at 6 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
Select the correct option.
A) 16 km B) 14 km C) 12 km D) 42 km E) None of these

Solution: Explanation:   Let the time in which he travelled on foot = x hour   Time for travelling on bicycle = (9 - x) hr   42 kmistance = Speed * Time, and Total distance = 70 km   So,   6x + 9(9-x) = 70   => 3x = 21   => x = 7   So distance traveled on foot = 6(7) = 42 km   Answer: Option 42 km
Answer: D
A bookseller sells his books at a 20% markup in price. If he sells a book for $36.00, how much did he pay for it?  Choose the correct choice from the following options.
A) $34.40	B) $34.00	C) $32.00	D) $30.00	E) $35.00

Solution: Let the cost price of book = x   Selling price of book = 36$   Markup % = 20   (120/100)x = 36   => x = 30   Answer $30.00
Answer: D
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 2-cent and 20-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought? Choose the correct answer
A) 5	B) 10	C) 55	D) 80	E) 95

Solution: Let:   # of 2 and 20 cents stamps = n   # of 10 cent stamps = 2n   # of 1 cent stamps = m   Therefore:   2n + 20n + 10(2n) + m = 265 cents   42n + m = 265   Forleastnumber of 1 cents stamps, maximize 50n. Hence,   42*5 + m = 265   m = 55 i.e. 55 stamps 1 cents each   Answer: 55
Answer: C
Series C(n) is such that i*C(i) = j*C(j) for any pair of positive integers (i, j). If C(1) is a positive integer, which of the following is possible?
I. 2*C(100) = C(99) + C(98)
II. C(1) is the only integer in the series
III. The series does not contain negative numbers	Choose the correct choice
A) I only B) II only C) IIII only D) IIIII only E) I, IIIII

Solution: First thing I want to understand is this relation: i*C(i) = j*C(j) for any pair of positive integers. I will take examples to understand it.   When i = 1 and j = 2, C(1) = 2*C(2)   So C(2) = C(1)/2   When i = 1 and j = 3, C(1) = 3*C(3)   So C(3) = C(1)/3   I see it now. The series is: C(1), C(1)/2, C(1)/3, C(1)/4 and so on...   II and III are easily possible. We can see that without any calculations.   II. C(1) is the only integer in the series   If C(1) = 1, then series becomes 1, 1/2, 1/3, 1/4 ... all fractions except C(1)   III. The series does not contain negative numbers   Again, same series as above applies. In fact, since C(1) is a positive integer, this must be true.   I. 2*C(100) = C(99) + C(98)   2*C(1)/100 = C(1)/99 + C(1)/98 (cancel C(1) from both sides)   2/100 = 1/99 + 1/98   Not true hence this is not possible   Answer (IIIII only)
Answer: D
At a meeting of 8 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
Choose the correct choice from the following:
A) 2400  B) 2800  C) 3200  D) 3600  E) 4000

Solution: 8 people can be arranged around a table in 7! ways.   Consider the two chiefs who will not sit together as a single unit.   The number of ways to arrange 7 units around a table is 6!   We need to multiply this by 2 as the two people can be switched in each arrangement.   The total number of ways to arrange the chiefs is 7! - 2*6! = 5*6! = 3600   The answer is 3600.
Answer: D
A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 4 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?  Pick.
A) 1:4  B) 1:5  C) 2:3  D) 3:2  E) 2:5

Solution: The cost price of a mango = 1/5 dollars.   The selling price of a mango from the first stack = 1/4 dollars --> the profit from one mango = 1/4 - 1/5 = 1/20 dollars.   The selling price of a mango from the second stack = 1/6 dollars --> the loss from one mango = 1/5 - 1/6 = 1/30 dollars.   The profit from one mango from the first stack is 4 times the loss from one mango from the second stack. the ratio is   1/20*30/1= 3:2   3:2
Answer: D
A certain country had a total annual expenditure of $9.6 x 10^11 last year. If the population of the country was 240 million last year, what was the per capita expenditure?	Choices.
A) $ 500 B) $1,000 C) $2,000 D) $3,000 E) $4,000

Solution: Total expenditure / Population = per capita expenditure   Hence, (9,6 x 10^11) / 240 000 000 = (9,6 x 10^11) / (2,4 x 10^8) = 4 x 10^(11-8) =   4 x 10^3 = 4000.   Answer is $4,000.
Answer: E
What will be the reminder when (31^31+31) is divided by 32?
Answers:
A) 72 B) 43 C) 91 D) 40 E) 30

Solution: (x^n+1) will be divisible by (x+1) only when n is odd;   (31^31+1) will be divisible by (31+1);   (31^31+1)+30 when divided by will give 30 as remainder.   Correct Option : 30
Answer: E
Shiva decided to drive through the city and on the first day he drove for only 7 miles. On the last day he drove for 51 miles, increasing his journey 4 miles each day. Calculate the number of days he traveled and how far did he travel?
Select
A) 335 miles in 10 days
B) 348 miles in 12 days
C) 338 miles in 15 days
D) 358 miles in 12 days
E) 368 miles in 12 days

Solution: According to the question   miles travelled in 2nd day = 7+4   miles travelled by 3rd, 4th....= 7 + 2*4,7 + 3*4......   A.P. = 7,7+4,7+2*4,......7 + ( n-1)4   IT's given   7 + (n-1)4 = 51   (n-1)4 = 44   n -1 = 11   n = 12   Total number of days = 12   total miles travelled Shiva   = n/2(a + l) [ a = 1st term , l = last term]   = 12/2(7 + 51)   = 6(58)   = 348   so total miles 348 travelled in 12 days   ANSWER:348 miles in 12 days
Answer: B
If 10 machines can produce 20 units in 10 hours, how long would it take 40 machines to produce 100 units?	Choose the correct choice from the following:
A) 9.5 B) 6.4 C) 2.3 D) 8.9 E) 12.5

Solution: 10 machines would produce 100 units in 50 hours. Increasing the amount of machines by 4 would mean dividing 50 hours by 4.   50/4= 
50/4 = 25/2 = around 12.5
12.5   Answer : 12.5
Answer: E
At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?	Select the correct option
A) 10 B) 12 C) 13 D) 15 E) 8

Solution: 10:B= 60: 45   10:C = 60: 40   B/C = (B/10*10/C) = (45/60 * 60/40) = 45/40 = 90/80   =90:80   =>10 points of 90   10NSWER 10
Answer: A
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.5 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?	Choose the correct choice from the following:
A) 63,000
B) 2,000,000
C) 2,030,000
D) 2,040,000
E) 2,300,000

Solution: Let's assume in 2006 he has sold X. Therefore in 2007 he should have sold 97/100×X.   97/100×2100=2037   -->2,037,000 sold in 2007. When rounded to the nearest 10,000 :   2,300,000   2,300,000
Answer: E
If the cost price is 89% of selling price then what is the profit percentage.  Choose one
A) 8.35	B) 9.35	C) 10.35	D) 11.35	E) 12.35

Solution: selling price=Rs100 : then cost price=Rs 89:profit =Rs 11.   Profit={(11/89)*100}%=12.35%   Answer is 12.35.
Answer: E
If positive integer n is divisible by both 5 and 18, then n must be divisible by which of the following? Select
A) 8	B) 12	C) 17	D) 30	E) 48

Solution: A number divisible by both 5,18 is 90 which s divisible by 30.   IMO : Answer 30 30
Answer: D
There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was?	Choose the correct choice from the following answers.
A) 20  B) 99  C) 28  D) 27  E) 12

Solution: Numbers of students in section A = x   Numbers of students in section B and C = (100 – x)   x 70 + (100 – x) 87.5 = 84 100   70x + 87.5 100 – 87.5x = 8400   8750 – 17.5x = 8400   17.5x = 8750 – 8400 => x = 20.   20nswer: 20
Answer: A
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.	Choices:
A) Rs.2205 B) Rs.2200 C) Rs.2160 D) Rs.2040 E) Rs.2050

Solution: Rs.2205 = 2000(21/20)2 = 2205   Rs.2205NSWER:Rs.2205
Answer: A
Meena wrote all the numbers from 1 to 39,999 inclusive. How many digits did she write in total? Choose the correct choice from the following answers
A) 156,789	B) 188,889	C) 192,389	D) 241,689	E) 275,889

Solution: 1-9=>1*9 digits   10-99=>2*90= 
2*90 = 180
180 (numbers between 10-99 is 90 where each has 2 digits)   100-999=>3*900= 
3*900 = 2_700
2700   1000-9999=>4*9000 = 36,000   10000-39999=>5*30,000 = 150,000   The answer is 188,889   The answer is 188,889.
Answer: B
How many different 3 letter combinations can be created from the letters X,Y and Z? Choose one
A) 27  B) 3  C) 9  D) 81  E) 243

Solution: This is a case of number of arrangements possible with repetition.   Thus you have 3 options each for the 1st,2nd and 3rd letter giving you a total of   3*3*3= 
  3*3*3 = 27
27 number of possible combinations.   27nswer : 27
Answer: A
Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Select the correct option:
A) 10.3
B) 10
C) 8.45
D) 9.3
E) 9

Solution: Explanation:   Assume both trains meet after x hours after 7 am   Distance covered by train starting from P in x hours = 20x km   Distance covered by train starting from Q in (x-1) hours = 25(x-1)   Total distance = 110   => 20x + 25(x-1) = 110   => 45x = 135   => x= 3   Means, they meet after 3 hours after 7 am, ie, they meet at 10 am   ANSWER IS 10
Answer: B
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Choose the correct choice from the following answers:
A) 120
B) 121
C) 122
D) 123
E) 124

Solution: Amt = (1600*(1+5/2*100) ^2 + 1600 * (1+5/2*100)   =$ 3321   CI = $(3321-3200)= 
(3321-3200) = 121
$121   ANSWER 121
Answer: B