MU-NLPC/Calc-aqua_rat huggingface dataset:
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 110 units raises the average to 55 units per day, what is the value of n? Choices: A) 9 B) 11 C) 13 D) 15 E) 17

Solution: The daily production was raised by 5 units for n days, which has a weighting of 5n.   5n = 110-55= 
110-55 = 55
55   n= 11   The answer is 11.
Answer: B
How many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18?	Choose the correct choice:  A) 36  B) 37  C) 38  D) 39  E) 40

Solution: 350/17 = 20 (plus remainder) so there are 20 multiples of 17   350/18 = 19 (plus remainder) so there are 19 multiples of 18   We need to subtract 1 because 17*18 is a multiple of both so it was counted twice.   The total is  20+19-1= 
 20+19-1 = 38
38   The answer is 38.
Answer: C
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Choose the correct choice from the following options:
A) A.72
B) B.50
C) C.92
D) D.46
E) E.44

Solution: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 44 seconds. Thus x = 4 seconds.   By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is   (12+11)= 
  (12+11) = 23
23x= 92 seconds.   Answer C.92
Answer: C
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 200 terms?	Choose the correct choice from the following answers: A) 40/41 B) 50/51 C) 100/101 D) 200/201 E) 400/401

Solution: a1 = 1 - 1/2   a2 = 1/2 - 1/3   a3 = 1/3 - 1/4   etc...   a200 = 1/200 - 1/201   The sum of these terms is 1-1/201 = 200/201   The answer is 200/201.
Answer: D
((-1.9)(0.6) – (2.6)(1.2))/5.0 = ?	Answers:
A) -0.852  B) 1.0  C) 1.07  D) 1.71  E) 2.71

Solution: Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.   -0.852   -0.852nswer -0.852
Answer: A
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?	Choose one.
A) 24km	B) 30km	C) 48km	D) 12km	E) 15km

Solution: Speed of down stream = 10+2= 
10+2 = 12
12kmph   speed of upstream= 10-2= 
10-2 = 8
8kmph   Let the required distance be xkm   x/12 + x/8= 5   2x+3x = 120   x = 24 km   24kmnswer is 24km
Answer: A
A train crosses a platform of 150 m in 10 sec, same train crosses another platform of length 250 m in 15 sec. then find the length of the train?
Choose one.
A) 150m B) 180m C) 159m D) 250m E) 50 m

Solution: Length of the train be ‘X’   X + 150/10= X + 250/15   3X + 450 = 2X + 500   X = 50m   Answer:50 m
Answer: E
In "Clash Royal" App Game, Warrior "The Bomber" is a very good defensive options. It can be purchased from the card shop.
The cost of the bomber is quite interesting.
The Cost of 1st bomber is: 2
The Cost of 2nd bomber is: 4
The Cost of 3rd bomber is: 6
The Cost of 4th bomber is: 8
The Cost of 5th bomber is: 10
i.e to buy 5 bombers you need 2+4+6+8+10 = 30 coins.
How many bombers can you buy using 1000 coins ? ?	Pick one:
A) 61  B) 62  C) 63  D) 64  E) 65

Solution: Solution   62   The Cost of 1st bomber is: 2 i.e Total coins spend: 2   The Cost of 2nd bomber is: 4 i.e Total coins spend: 6   The Cost of 3rd bomber is: 6 i.e Total coins spend: 12   The Cost of 4th bomber is: 8 i.e Total coins spend: 20   The Cost of 5th bomber is: 10 i.e Total coins spend: 30   The Cost of 6th bomber is: 12 i.e Total coins spend: 42   The Cost of 7th bomber is: 14 i.e Total coins spend: 56   The Cost of 8th bomber is: 16 i.e Total coins spend: 72   The Cost of 9th bomber is: 18 i.e Total coins spend: 90   The Cost of 10th bomber is: 20 i.e Total coins spend: 110   The Cost of 11th bomber is: 22 i.e Total coins spend: 132   The Cost of 12th bomber is: 24 i.e Total coins spend: 156   The Cost of 13th bomber is: 26 i.e Total coins spend: 182   The Cost of 14th bomber is: 28 i.e Total coins spend: 210   The Cost of 15th bomber is: 30 i.e Total coins spend: 240   The Cost of 16th bomber is: 32 i.e Total coins spend: 272   The Cost of 17th bomber is: 34 i.e Total coins spend: 306   The Cost of 18th bomber is: 36 i.e Total coins spend: 342   The Cost of 19th bomber is: 38 i.e Total coins spend: 380   The Cost of 20th bomber is: 40 i.e Total coins spend: 420   The Cost of 21st bomber is: 42 i.e Total coins spend: 462   The Cost of 22nd bomber is: 44 i.e Total coins spend: 506   The Cost of 23rd bomber is: 46 i.e Total coins spend: 552   The Cost of 24th bomber is: 48 i.e Total coins spend: 600   The Cost of 25th bomber is: 50 i.e Total coins spend: 650   The Cost of 26th bomber is: 52 i.e Total coins spend: 702   The Cost of 27th bomber is: 54 i.e Total coins spend: 756   The Cost of 28th bomber is: 56 i.e Total coins spend: 812   The Cost of 29th bomber is: 58 i.e Total coins spend: 870   The Cost of 30th bomber is: 60 i.e Total coins spend: 930   The Cost of 31st bomber is: 62 i.e Total coins spend: 992   Answer 62
Answer: B
In a single throw of a die, what is probability of getting a number greater than 4? Choose the correct choice from the following answers:
A) 2/3 B) 3/5 C) 4/7 D) 8/9 E) 1/3

Solution: 1/3= {5,6}   n(1/3)=2   P(S)=n(1/3)/n(S)   =2/6   =1/3   Ans: 1/3
Answer: E
The area of a triangle will be when a = 3m, b = 5m, c = 10m, a, b, c being lengths of respective sides?
Pick one:	A) 3	B) 6	C) 4	D) 9	E) 1

Solution: S = (3 + 5 + 10)/2= 
(3 + 5 + 10)/2 = 9
9 Answer:9
Answer: D
Ben's income is 60% less than Rex's income, and Sam's income is 25% less than Ben's income. If Rex gave 60% of his income to Sam and 40% of his income to Ben, Ben's new income would be what fraction of Sam's new income?
Choose the correct answer
A) 8/9	B) 11/12	C) 8/13	D) 11/13	E) 12/13

Solution: We can take some easy numbers and make calculations simpler.   Let R ( Rex's income) = 100   Q (Ben's income) = 40%R = 40   S (Sam's income) = 75% Q = (3/4)*40= 
(3/4)*40 = 30
30   Now, if Rex gives 40% to Ben --> Q= 40 + 40= 
40 + 40 = 80
80   60% given to Sam --> S= 30+60= 
30+60 = 90
90   The ratio is : Q/S= 80/90 = 8/9= 8/9
Answer: A
The average of 38 numbers is 45. If two numbers namely 32 and 45 are discarded, The average of
remaining numbers is?  Choose the correct answer
A) 35.5
B) 47.5
C) 39.5
D) 45.3
E) 44.3

Solution: Total of 50 numbers = 38 * 45= 
38 * 45 = 1_710
1710   Average of 38 numbers= 1710-(32+45) / 36   = 1633 / 36 = 45.3   Answer is 45.3
Answer: D
A certain galaxy is known to comprise approximately 2 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?  Choose the correct choice from the following
A) 800
B) 1,250
C) 8,000
D) 4,000
E) 80,000

Solution: Total no. of stars on galaxy = 2 * 10^11   Of every 50 million stars, 1 is larger than sun.   1 million = 10^6 therofore, 50 million = 50 * 10^6   total no. of stars larger than sun = 2 * 10^11 / 50 * 10^6   =20 * 10^3 /5   = 4000   therefore answer is 4,000
Answer: D
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is  Choose the correct choice
A) 27	B) 29	C) 12	D) 11	E) Cannot be determined

Solution: Explanation:   There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.   Answer:Cannot be determined
Answer: E
The average of first nine prime numbers which are odd is?
Choose the correct option
A) 12.55	B) 13.55	C) 14.55	D) 11.55	E) 12.95

Solution: Sum of first 10 prime no. which are odd = 113   12.55verage = 113/9 = 12.55   12.55NSWER:12.55
Answer: A
A total of 535 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie. Choose the correct option:
A) 511
B) 512
C) 534
D) 255
E) 1023

Solution: There are 535 players, only 1 person wins, 534 players lose. in order to lose, you must have lost a game.   534 games.   Ans- 534
Answer: C
Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z? Choose the correct choice from the following choices.
A) y + 3z  B) (y +z) / 4  C) 2y + 3z  D) z/2  E) 3y + 4.5z

Solution: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z.   z/2
Answer: D
If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive Select the correct option:
A) I only
B) II only
C) III only
D) I and II
E) II and III

Solution: The best way to approach such questions is to plug in values for x and y   Given: x-y=8   I. Both x and y are positive:   Let x=10 and y=2   x-y=8   But,   Let x=6 and y=-2   x-y=8   Therefore, NOT TRUE   III. If x is positive, y must be positive   Let x=10 and y=2   x-y=8   But,   Let x = 6 and y=-2   x-y=8   Therefore, NOT TRUE   II. If x is negative, y must be negative   If x is negative, for the expression x-y=8 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!   Therefore, TRUE   Ans: 'II only'
Answer: B
In a school 10% of the boys are same in number as 1/3th of the girls. what is the ratio of boys to the girls in the school?  Choose the correct choice from the following options:
A) 5:2	B) 2:3	C) 10:3	D) 3:7	E) 2:5

Solution: 10% of B = 1/3 G   10B/100 = G/3   B = 10G/3   B/G = 10/3   B:G = 10:3   Answer is 10:3
Answer: C
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Options.
A) 11 kmph B) 10 kmph C) 18 kmph D) 15 kmph E) 16 kmph

Solution: 15 kmph   15 kmph     90 * 10/60= 
  90 * 10/60 = 15
15 kmph
Answer: D
Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 2 pumps to empty the same pool? Choose the correct choice from the following:
A) 25
B) 24
C) 22
D) 23
E) 21

Solution: The answer is E   7 pumps take 6 hours. 1 Pump will take 6*7 hours . Hence 2 pumps will take   (6*7)/2= 
  (6*7)/2 = 21
21 hours
Answer: E
How many positive integers W less than 10,000 are such that the product of their digits is 210?
Pick one.
A) 24  B) 30  C) 48  D) 54  E) 72

Solution: 210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.   So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to  24 + 6 + 24= 
 24 + 6 + 24 = 54
54, 54 is the answer.
Answer: D
A bag contains 2 red, 3 green, and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?  Select:
A) 5/7
B) 9/14
C) 13/21
D) 17/28
E) 23/35

Solution: P(no red balls) = 6/8*5/7*4/6 = 5/14   P(at least one red ball) = 1 - 5/14 = 9/14   The answer is 9/14.
Answer: B
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 37 seconds. Find the length of the faster train?
Answers
A) 270  B) 370  C) 266  D) 299  E) 126

Solution: Relative speed = (72 - 36) * 5/18 = 2 * 5= 
2 * 5 = 10
10 mps.   Distance covered in 37 sec= 37 * 10= 
37 * 10 = 370
370 m.   The length of the faster train= 370 m.   Answer: 370
Answer: B
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Answers
A) 60 gallons  B) 100 gallons  C) 120 gallons  D) 180 gallons  E) 80 gallons

Solution: Let the capacity of tank x gallons. then in 1 minute tank filled (x/20+x/24-3)gallons   From the question we can write   15(x/20+x/24-3)=x [it took 15 min to fill x gallons]   x/20+x/24-x/15=3   (6x+5x-8x)/120=3   3x/120=3   x=120 gallons   ANSWER :120 gallons
Answer: C
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 3 days and B leaves after 2 days from the beginning. How long will work lost? Choose the correct choice from the following choices.
A) 10 1/3  B) 12 1/3  C) 11 1/3  D) 13 1/3  E) 9 1/3

Solution: 3/10 + 2/15 + x/20 = 1   x = 34/3 = 11 1/3   Answer: 11 1/3
Answer: C
A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person?
Choose the correct choice: A) 14 years B) 18 years C) 20 years D) 32 years E) none

Solution: Solution   Let the present ages of the person be x years.   Then	3(x-3)-3(x-3)   ‹=› x= (3x+9)-(3x-9)   x=18.   Answer 18 years(3 +9)-(3 -9)= 
(3 +9)-(3 -9) = 18
18.   Answer 18 years
Answer: B
If a computer program generates three-digit odd numbers using the numbers 9, 7, 2, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
Choose the correct choice from the following answers
A) 1/3 B) 1/4 C) 1/5 D) 1/6 E) 1/7

Solution: 1/3
Answer: A
To mail a package, the rate is 15 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?  Choose the correct answer.
A) Combined, with a saving of 5 cents B) Separately, with a saving of 5 cents C) Combined, with a saving of 15 cents D) Separately, with a saving of 15 cents E) Combined, with a saving of 10 cents

Solution: 5 pounds = 1*15+4*5= 
1*15+4*5 = 35
35   10 pounds= 1*15+9*5= 
1*15+9*5 = 60
60   total= 95   15 pound = 1*15+14*5= 
1*15+14*5 = 85
85   dif. 10   Answer : Combined, with a saving of 10 cents
Answer: E
If 213 × 16 = 3408, then 16 × 21.3 is equal to : Options:	A) 0.3408	B) 3.408	C) 34.08	D) 340.8	E) None of these

Solution: Solution   16 × 21.3 = (16x 213/10)= (16x 213/10) = 3408/10 = 340.8. Answer 340.8
Answer: D
A man buys a cycle for Rs. 2800 and sells it at a loss of 25%. What is the selling price of the cycle?	Options
A) s. 2090	B) s. 2160	C) s. 2100	D) s. 2202	E) s. 2092

Solution: S.P. = 75% of Rs. 2800 = Rs.	75	x 2800/100 = Rs. 1190   Answer: Option s. 2100
Answer: C
A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 15%. Their gross income from sales for one month increases by what percent?  Answers:
A) 1.5%
B) 2.5%
C) 3.5%
D) 4.5%
E) 5.5%

Solution: Let P be the original price and let x be the number of items sold originally.   The original income is P*x.   After the changes, the income is 0.9P*1.15x = 1.035*(P*x), an increase of 3.5%.   The answer is 3.5%.0.9 *1.15= 
0.9 *1.15 = 1.035
1.035*(P*x), an increase of 3.5%.   The answer is 3.5%.
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec. What is the length of the platform?  Answers.
A) 187 m  B) 350 m  C) 267 m  D) 287 m  E) 675 m

Solution: Speed = 300/12= 
300/12 = 25
25 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39=25   => x = 675 m.   Answer:675 m
Answer: E
{9,5,6,4,8,3,5}
What value should be added to the set of 7 values to get a median of 6? Options
A) 5 B) 3 C) 1 D) 4 E) 6

Solution: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.   The question asks fora new number that will cause the median of new set at 6.   Mentionable that given set is already sorted and number of items of new set will be 7+1= 
7+1 = 8
8.   To get median 3,the sum of 4th5th Term should be 12 and luckilyit's exactly same in the existing series i.e. 8+4.   So to keep the median 6, the new item should be >=4   The answer is 4
Answer: D
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?	Choose one
A) 12 B) 56 C) 36 D) 37 E) 24

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.   12nswer:12
Answer: A
How many digits are required to number a book containing 240 pages?  Select the correct option.
A) 756	B) 612	C) 492	D) 372	E) 250

Solution: 9 pages from 1 to 9 will require 9 digits.   90 pages from 10 to 99 will require   90*2= 
  90*2 = 180
180 digits.   240-(90+9)= 
240-(90+9) = 141
141 pages will require   141*3= 
  141*3 = 423
423 digits.   The total number of digits is 9+180+423= 
9+180+423 = 612
612.   The answer is 612.
Answer: B
A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it
take to cross a railway plaƞorm 165 meters long Pick.
A) 7 second B) 7.5 second C) 8 second D) 8.5 second E) None of these

Solution: Explanation:   As we need to calculate answer in seconds, so first convert speed into meter/sec.   we know 1 km/hr = 1*(5/18) m/sec   So, Speed = 132* (5/18) = 110/3 m/sec   Distance need to be covered in passing the plaƞorm =   Length of train + length of plaƞorm = 110 + 165= 
110 + 165 = 275
275 meters   Time= Distance/Speed   =>Time=275   ∗   3110=152=7.5seconds   Answer: 7.5 second
Answer: B
Find the greatest number which on dividing 3815 and 4521, leaves a reminder of 31 and 33 respectively Choose the correct choice from the following answers.
A) 88  B) 56  C) 89  D) 86  E) 96

Solution: Explanation:   In this type of question, its obvious we need to calculate the HCF, trick is   HCF of (3815 - 31) and (4521 -33)   = HCF (3784, 4488) = 88   Option 88
Answer: A
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony four hours from now?  Pick
A) 77,500  B) 1,860,000  C) 2,480,000  D) 3,720,000  E) 4,960,000

Solution: 310,000 × 2 × 2×2 = 310,000 × 8 = 2,480,000
Answer: C
A person crosses a 300 m long street in 5 minutes. What is his speed in km per hour?
Choose the correct choice.
A) 5.2 km/hr. B) 8.2 km/hr. C) 7.2 km/hr. D) 3.6 km/hr. E) 4.2 km/hr.

Solution: D   3.6 km/hr.   Speed=(300/5 * 60) m/sec   = 1 m/sec.   Converting m/sec to km/hr   =(1*18/5) km/hr   = 3.6 km/hr.   Answer is 3.6 km/hr.
Answer: D
The average (arithmetic mean) of 9 numbers is 9. If 5 is added from each of 6 of the numbers, what is the new average?	Answers.
A) 8.9 B) 46.35 C) 41.6 D) 7.6 E) 12.3

Solution: Sum of 9 numbers = 9*9= 
9*9 = 81
81   If 5 is added from each of six of the numbers , we added  5*6= 
 5*6 = 30
30 from the total sum   Sum of 9 number after adding 5 from each of six of the numbers=81+30= 
81+30 = 111
111   New average=111/9=12.3   Answer (12.3)
Answer: E
How many digits are required to write numbers between 1 to 100. Answers
A) 196 B) 158 C) 192 D) 200 E) None

Solution: Explanation:   Single digits are from 1 to 9 = 9 digits   Doubt digits are from 10 to 99 = 90 x 2 = 180 digits   100 needs 3 digits. Total 192 digits   192orrect Option: 192
Answer: C
Express a speed of 54 kmph in meters per second? Choose the correct choice:
A) 10 mps  B) 76 mps  C) 15 mps  D) 97 mps  E) 16 mps

Solution: 54 * 5/18= 
54 * 5/18 = 15
15 mps   Answer:15 mps
Answer: C
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
Choose the correct choice from the following options
A) 28
B) 112
C) 48
D) 64
E) 76

Solution: B:G:P = 7:4:12 --> total of 23 parts.   Not blue = (G + P)/(total)*92 = 16/23*161= 
16/23*161 = 112
112.   Answer: 112.
Answer: B
if each of its sides of a rectangle is increased by 12%, what is the percentage increase in the area of the rectangle, ?	Choose the correct choice:
A) 24.44% B) 22.44% C) 26.44% D) 25.44% E) 29.44%

Solution: Assume original length = 100m by 50m   original area = 100*50= 
100*50 = 5_000
5000   12% increase on each side   l= 100 + 12= 
100 + 12 = 112
112   w= 50 + 6= 
50 + 6 = 56
56   new area= 112*56= 
112*56 = 6_272
6272   increase in area= 6272 - 5000= 
6272 - 5000 = 1_272
1272   %increase=25.44%   Answer 25.44%
Answer: D
Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.
Pick.
A) 45°
B) 37 1⁄2°
C) 47 1⁄2°
D) 46°
E) None of these

Solution: Angle traced by the hour hand in 12 hours = 360°   Angle traced by it in 3 hrs 25 min. i.e. 41⁄12 hrs.   = (360⁄12 × 41⁄12)° = 1021⁄2°   Angle traced by it in 25 min. = (360⁄60 × 25)° = 150°   Required angle = (150° × 1021⁄2°) = 471⁄2°   Answer 47 1⁄2°
Answer: C
A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/3 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?	Choose the most appropriate option.
A) 50%	B) 33.33%	C) 25%	D) 55.55%	E) 12.5%

Solution: Say the original retail price of the item was $200.   The price after the first sale = 3/4 * $200 = $150.   The price after the second sale 3/4 *  200= 
3/4 *  200 = 150
$150.   The price after the second sale=1/3 * $200 = $200/3.   The percent change from the first sale to the second = (150 - 200/3) / 150 = 1/3 = 55.55%.   Answer: 55.55%.
Answer: D
If an object travels at ten feet per second, how many feet does it travel in one hour? Pick one:
A) 34880 B) 37780 C) 36000 D) 18000 E) 28810

Solution: Explanation:   If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour.   Answer = 36000   Answer: 36000) 36000
Answer: C
Meena wrote number starting from 1 till 19999.Then how many digits did she write ?  Choose the correct choice from the following answers
A) 87889 B) 88889 C) 89889 D) 88789 E) 88989

Solution: 1-9=>1*9 digits   10-99=>2*90= 
2*90 = 180
180(numbers between 10-99 is 90 where each no has 2 digits)   100-999=>3*900= 
3*900 = 2_700
2700   1000-9999=>4*9000   10000-19999=>5*10000   so ans is 88889   ANSWER:88889
Answer: B
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.15000, find their shares?  Pick one: A) s.6000, Rs.9500 B) s.6000, Rs.5700 C) s.6000, Rs.9000 D) s.8000, Rs.9000 E) s.10000, Rs.15200

Solution: The ratio of their profits A:B   = 8:12 = 2:3   Share of A in the total profit   = 2/5 * 15000   = Rs.6000 Share of A in the total profit = 3/5 * 15000   = Rs.9000   Answer: s.6000, Rs.9000
Answer: C
The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?	Choose the correct choice from the following choices:
A) 18%	B) 22%	C) 42%	D) 12%	E) 17%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   80 * 110= 
80 * 110 = 8_800
8800   10000------- 1200   100 ------- ?= 12%   Answer:12%
Answer: D
Express a speed of 70 kmph in meters per second?  Choose the correct choice:
A) 10 mps	B) 19.44 mps	C) 97.44 mps	D) 17.44 mps	E) 18.44 mps

Solution: 70* 5/18   = 19.44 mps   Answer: 19.44 mps
Answer: B