MU-NLPC/Calc-aqua_rat huggingface dataset:
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? Pick one.
A) 210 B) 1050 C) 25200 D) 21400 E) None

Solution: Solution   Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   7C3x 4C2 = ( 7x 6x5/3x2x1x 4x 3/2x1 ) = 210   Number of group,each having 3 consonants and 2 vowels = 201 .   Each group contains 5 letter.   Number of ways of arranging 5 letters among themselves   = 5 ! = (5 × 4 × 3 × 2 × 1) = 120 .   So, Required number of words = (210 × 120) = 25200 .   Answer 25200
Answer: C
In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Choose the correct choice
A) 1523  B) 1365  C) 1234  D) 4512  E) 1234

Solution: Required number of ways   = 15C 11 = 15C (15-11)   = 15 C 4   15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1   = 1365   Ans: 1365
Answer: B
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Choose the correct answer:  A) 62.5  B) 62.9  C) 62.6  D) 62.1  E) 22.4

Solution: CP = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(95/100)= 59.375   MP = 62.5   62.5nswer: 62.5
Answer: A
The greatest number of four digits which is divisible by 18,27,54 and 72 is:
Choose the correct choice from the following options.
A) 9300	B) 9480	C) 9600	D) 9860	E) 9936

Solution: Greatest number of 4-digits is 9999.   L.C.M. of 18, 27, 54 and 72 is 216.   On dividing 9999 by 216, the remainder is 63.   Required number  (9999 - 63)= 
 (9999 - 63) = 9_936
9936.   Answer: Option 9936
Answer: E
Jill is dividing her six-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?  Choices
A) 10 B) 25 C) 126 D) 252 E) 630

Solution: With 6 players, the process of figuring out how many groups of 3 can be formed is pretty straight-forward....   6C3 = 6!/(3!3!) = 20 possible groups of 3   Once forming that first group of 3, the remaining 3 players would all be placed on the second team by default.   The 'twist' is that the two teams of 3 canshow upin either order:   10
Answer: A
The compound interest on a sum of money for 2 years is rs.832 and the simple interest on the same sum for the same period is rs.800 .the difference between the compound interest and simple interest for 3 years  Choose one:
A) 98.5
B) 08.56
C) 98.56
D) 98.86
E) 98.46

Solution: Explanation:   difference in 98.56.I and S.I in 2years =Rs.32   S.I for 1year =Rs.400   S.I for Rs.400 for one year =Rs.32   rate=[100*32)/(400*1)%=8%   difference between in 98.56.I and S.I for 3rd year   =S.I on Rs.832= Rs.(832*8*1)/100=Rs.66.56   Answer: 98.56) Rs.98.56
Answer: C
If 5% more is gained by selling an article for Rs. 220 than by selling it for Rs. 160, the cost of the article is?  Choose the correct choice from the following options
A) 127  B) 1200  C) 1600  D) 1400  E) 1202

Solution: Let C.P. be Rs. x.   Then, 5% of x = 220 - 160= 
220 - 160 = 60
60   x/20= 60 => x = 1200   Answer: 1200
Answer: B
A train running at the speed of 72 km/hr crosses a pole in 9 sec. What is the length of the train? Options.
A) 288	B) 279	C) 277	D) 272	E) 180

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Length of the train= speed * time = 20 * 9= 
20 * 9 = 180
180 m   Answer: 180
Answer: E
Ram paid a sum of money for purchasing 25 pens, which he recovered in full when he sold 10 of them. What was his percentage of profit or loss per pen?	Choose one: A) 80% B) 125% C) 100% D) 70% E) 90%

Solution: B   125%   If the sum he paid whilst purchasing 25 pens = A,   Then the Cost Price of each pen = A/25.   Since the amount he got whilst selling 10 pens is also = A   Then the Selling Price of each pen = A/10.   Since Selling Price > Cost Price, he made a profit.   Profit per pen = Selling Price - Cost Price = A/10 - A/25 = 3A/50.   Profit percentage per pen = Profit per pen / Cost per pen x 100 = (3A/60) / (A/25) x 100 = 125%. Answer :125%
Answer: B
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 46 hats in this group, how many of these hats are not blue?  Choose the correct choice from the following
A) 28 B) 42 C) 48 D) 32 E) 76

Solution: Since the hats Blue, Green and Purple are in ratio of 7:4:12...The total no. of balls will be   7x+4x+12x=46 or 23x=46...here 7x,4x and 12x represent hats of each type   23x=46 so x=2...Blue hats =7*2=14...Not blue will be   46-14= 
  46-14 = 32
32.   Ans 32
Answer: D
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector so formed has a central angle of 80°, what fraction of the wheel’s area is represented by the second smallest sector?	Pick one:	A) 1/72	B) 1/36	C) 1/18	D) 1/12	E) 1/9

Solution: Its an AP question .... it is given clearly in the question .   Let the smallest angle be a   and the circle has 8 sectors and hence 8 angle with a common difference d   hence all the angles can be written in AP form with 1/18d as d ,   a, a+d, a+2d, a+3d ,a+4d, a+5d, a+6d ,a+7d,   given that a+7d = 80 --------1   also   a + a+d + a+2d + a+3d +   a+4d + a+5d + a+6d + a+7d = 360 ( as sum of all the angle is 360)   which is 8a + 28d = 360 --------2   solving 1 and 2   we get a=10   We are almost done ,   now the question ask what fraction of the wheel’s area is represented by the smallest sector ?   (20/360)( pie r*r)/ (pie r*r) = 20/360= 1/18   1/18 ans ....
Answer: C
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the students earned for the 16 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2  Choose one: A) (1) $320 B) (2) $210 C) (3) $284 D) (4) $282 E) (5) $196

Solution: 4+7+4+3+2= 
4+7+4+3+2 = 20
20   The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount.   1st to 2nd term= 48 (2 days)   3rd to 5th term = 70 (3 days)   6th to 9th term = 80 (4 days)   10th to 16th term = 84 (7 days)   total amount earned = 48+70+80+84= 
48+70+80+84 = 282
282   Pick (4) $282
Answer: D
Of the female students at Barkely University, 5/6 are on the honor roll. Of the male students, 2/3 are on the honor roll. If 2/5 of the students are female, what fraction of all the students are on the honor roll?	Choose the correct option
A) 5/9	B) 3/15	C) 23/30	D) 22/30	E) 53/90

Solution: let the total students be 30   given 2/5 of the students are females = 12   then males = 3/5 = 18   5/6 of the females are on honor roll = 10   males on the honor roll = 2/3= 12   total students on honor roll = 12+10= 
12+10 = 22
22   fraction= 22/30   22/30
Answer: D
A man in a train notices that he can count 51 telephone posts in one minute. If they are known to be 100 metres apart, then at what speed is the train travelling?  Select the correct option.
A) 250km/hr
B) 150km/hr
C) 225km/hr
D) 300km/hr
E) 315km/hr

Solution: Number of gaps between 51 telephone posts = 50   distance travelled in 1 minute = 100*50= 
100*50 = 5_000
5000m= 5km   speed = 300km/hr   Answer is 300km/hr
Answer: D
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Choose the most appropriate option:
A) 46	B) 77	C) 88	D) 544	E) 33

Solution: Sum of all the 13 numbers = 13 * 60= 
13 * 60 = 780
780   Sum of the first 7 of them= 7 * 57= 
7 * 57 = 399
399   Sum of the last 7 of them= 7 * 61= 
7 * 61 = 427
427   So, the 8th number= 427 + 399 - 780= 
427 + 399 - 780 = 46
46.   46nswer: 46
Answer: A
Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 25% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?  Choose the correct option
A) A)(1/2)m B) B)(1/9)m C) C)(1/4)m D) D)(1/5)m E) E)(1/6)m

Solution: let angela work for 8hrs and get 900 rs. (m =900)   According to question, linda works 25% more time and gets the same amount. so let linda work 10 hrs and get 900 rs.   so they do a total of  10 +8= 
 10 +8 = 18
18 hrs of work and get 1800 rs together . The question basically asks to equalise their payment. so a total of 1800 rs is received by them and they do 18 hrs work together. average rate will be  1800/18= 
 1800/18 = 100
100 rs per hr. so linda should get 10*100= 
10*100 = 1_000
1000 rs. But she got only 900. so angela should give 100 rs to linda. answer= 100/900 =1/9   answer (1/9)m
Answer: B
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction Q of time taken by the two wide pipes working together to fill the tank?	Choose the most appropriate option.
A) 1/2 B) 2/3 C) 3/4 D) 3/7 E) 4/7

Solution: I always plug in for these questions.. I find them easier   Let 2 large pipes each work fill 10lts/hr   small ones = 1/2*10= 
1/2*10 = 5
5   total 5= 10+10+5+5+5= 
10+10+5+5+5 = 35
35 lts/hrs   now assume the total capacity= 140 lts ( LCM of 20,35)   Qn :All the pipes working together will take what fraction of time taken by the two wide pipes working together to fill the tank   all working together will take 140/35= 
140/35 = 4
4 hrs   two large pipes working will take   140/20= 
  140/20 = 7
7 hrs   hence ratio Q= 4/7 = 4/7
Answer: E
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio W of revenue from car sales in 1996 to revenue from truck sales in 1996?
Select the correct option
A) 1:2 B) 4:5 C) 1:1 D) 3:2 E) 5:3

Solution: A.. I have probably solved this question 3-4 times by now.. Remember the answer.. 1:2
Answer: A
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled? Choose the correct choice from the following options:
A) 56
B) 35
C) 82
D) 89
E) 90

Solution: C   82   Mabel handled 90 transactions   Anthony handled 10% more transactions than Mabel   Anthony = 90 + 90 × 10%   = 90 + 90 × 0.10   = 90 + 9= 
90 + 9 = 99
99   Cal handled 2/3rds of the transactions than Anthony handled   Cal= 2/3 × 99   = 66   Jade handled 16 more transactions than Cal.   Jade = 66 + 16= 
66 + 16 = 82
82   Jade handled= 82 transactions.
Answer: C
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1500. What is their H.C.F.?
Answers
A) 5  B) 15  C) 25  D) 35  E) 45

Solution: Let the numbers be 3x, 4x and 5x.   Then, their L.C.M. = 60x   60x = 1500   x = 25   The numbers are (3 x 25), (4 x 25) and (5 x 25).   The H.C.F. is 25.   The answer is 25.
Answer: C
(1000)7÷(10)15=? Answers:
A) 10	B) 100	C) 1000000	D) 10000	E) None of these

Solution: Explanation:   =(103)7/(10)15   =(10)21/(10)15=10(6)=1000000   Option 1000000
Answer: C
If e > a and L < a, which of the following cannot be true?	Choose the correct option:
A) d + L = 14  B) d - L = 7  C) d - L = 1  D) a - e = 9  E) a + d = 9

Solution: Is the answer D?   If e>a, then e-a>0 (always positive). The converse would be a-e<0 (always negative). Option a - e = 9 states that a-e=9, which can never be true.
Answer: D
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
Choose the correct choice from the following answers:
A) 50p coins = 400 20p coins = 600 10p coins = 800 B) 50p coins = 300 20p coins = 700 10p coins = 200 C) 50p coins = 800 20p coins = 400 10p coins = 200 D) 50p coins = 400 20p coins = 500 10p coins = 300 E) 60p coins = 500 20p coins = 400 10p coins = 300

Solution: 50*2k + 20*3k + 10*4k = 40000   200k = 40000 => k = 200   50p coins = 2k = 2*200= 
2*200 = 400
400   20p coins= 3k = 3*200= 
3*200 = 600
600   10p coins= 4k = 4*200= 
4*200 = 800
800   50p coins= 400 20p coins = 600 10p coins = 800nswer:50p coins = 400 20p coins = 600 10p coins = 800
Answer: A
The difference between a number and its two-fifth is 510. What is 10% of that number?	Choose the correct choice
A) 12.75 B) 85 C) 204 D) 250 E) None of these

Solution: Explanation:   Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   10% of 850= 85.   Answer IS 85
Answer: B
If e + xy = e and x is not equal to 0, which of the following must be true?  Choose the correct option
A) x<y  B) x+y=0  C) x=e  D) x=0  E) y=0

Solution: e + xy = e --> xy=0. Since x is not equal to 0, thus y = 0.   Answer: y=0.
Answer: E
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.8, what is the probability that event B will occur?	Choices
A) 0.05
B) 0.15
C) 0.45
D) 0.5
E) 0.65

Solution: P(A or B) = P (A) + P(B) - p(a n b)   0.8= 0.4 + P(B) - 0.25   P(B) = 0.65   Ans : 0.65
Answer: E
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 8 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?	Choose the most appropriate option:
A) 64%
B) 80%
C) 100%
D) 120%
E) 125%

Solution: For A, r=8/2pi. Its capacity = (4pi)^2 * 8= 128pi   For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi   64%/B = 128pi/200pi = 0.64   64%128  /200= 
128  /200 = 16/25 = around 0.64
0.64   64%
Answer: A
The difference between a 6 digit number and the number formed by reversing its digit is not a multiple of Choose the correct choice from the following.
A) 3
B) 92439
C) 30813
D) 10271
E) 10272

Solution: Another approach is to TEST a number.   Let's say the original number is 123004   So, the R10272V10272RS10272D number is 400321   The DIFF10272R10272NC10272 = 400321-123004   No check the answer choices   277317 is a multiple of 3,92439,30813,10271   10272 is NOT a multiple of 277317   Answer:10272
Answer: E
In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 45 percent of the vote. How many additional votes would James have needed to win the election?  Pick one:
A) 901	B) 989	C) 990	D) 891	E) 1,001

Solution: James = (0.5/100)*2000= 
(0.5/100)*2000 = 10
10   Votes to win= (45/100)*Total Votes +1 = (45/100)*2000 +1= 
(45/100)*2000 +1 = 901
901   Remaining Voted needed to win election= 901 - 10= 
901 - 10 = 891
891   Answer: option 891
Answer: D
A freight elevator can carry a maximum load of 1300 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator? Select the correct option.
A) 8 B) 85 C) 190 D) 215 E) 210

Solution: The average of existing 2 package is150 + 280/2 = 430/2= 
430/2 = 215
215   Remaining allowed weight= 1300 - 200 - 430= 
1300 - 200 - 430 = 670
670.   allowed per package= 670 / 3 =223   So difference in average of existing and allowable = 223-215= 
223-215 = 8
8   Hence 8
Answer: A
Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team W, but each box of Team A’s has 60% fewer booklets than each box of Team W’s. Which of the following could be the total number of booklets distributed by the two groups? Choose the correct option.
A) 2,000
B) 3,200
C) 4,100
D) 4,800
E) 4,900

Solution: Let x be the no of booklets in each box that team W distributes. So, Team A has 60% fewer - 0.4x.   Let y be the no. of boxes distributed by team W. So, Team A distributes 60% more - 1.6y   Total booklets distributed by team A = xy   Total booklets distributed by teamW=0.64xy   Total booklets distributed = xy+0.64xy=1.64xy   As no. of booklets can only be integer, plugging the answer choice equal to 1.64xy should give an integer.   Choice A - 1.64xy=2000; xy=2000/1.64 = doesn't provide an integer value.   Similarly all answer choices, except choice C, fail to provide an integer value.   4,100hoice 4,100 = 4100/1.64= 
4100/1.64 = 2_500
2500 and is the correct answer.
Answer: C
Wn = 2Wn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If W5 = Q4 and W7 = 316, what is the first value of n for which Qn is an integer?
Choose the correct answer:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Assuming I have understood the symbols used correctly answer is 3- 3   W7 = 2S6 +4 = 316   W6 = 312/2= 
312/2 = 156
156= 2W5 + 4   W5 = 152/2= 
152/2 = 76
76= Q4   Q4 = 4Q3 + 8 = 76   Q3 = 68/4= 
68/4 = 17
17   Q3= 4Q2 + 8 = 17   Q2 = 9/4= 
9/4 = 9/4 = around 2.25
2.25   Q2= 4Q1 + 8   Q1 will not be integer
Answer: C
Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 4 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?  Choose the correct answer.
A) 1/3	B) 2/5	C) 3/7	D) 1/2	E) 4/7

Solution: The time from beginning of March to the end of September is 7 months.   If x is the average monthly tip for all months other than August then his August month tip will be 4*x   His total tip for the 7 months = 6*(average tip for the months other than August) + 4x   =10x   August tips as a fraction of total tips = 4x/10x =2/5. So 2/5
Answer: B
Angela has 11 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
Choose the correct choice from the following options
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: I think if Angela loses 7 individual socks,then she is bound to have lost minimum of 3 pairs and 1 individual sock,in this way she is left with only 7 pairs of socks (11-(3+1)).   Hence,8 cannot be the answer as maximum is 7.   Hence, option (8)
Answer: A
Akash will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices
A) 5
B) 6
C) 9
D) 24
E) 26

Solution: Akash will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. person with max height is in the second row, person with min height is in the first row. We need to select 1 person in the middle of each row... In the middle of the first row we can put only 2, 3 or 4. In the middle of the second row we can put only 3, 4, 5. If we select {3 in the sec. row, 2 in the first}, {4,2}, {5,2}, {4,3}, {5,3}, {5,4}. So, there are   0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1= 
  0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1 = 5
5 cases...5
Answer: A
In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:	Choose the correct choice from the following:  A) 5 km/h  B) 8 km/h  C) 10 km/h  D) 15 km/h  E) 20 km/h

Solution: Let A's speed be X km/hr.   Then, 60/x - 60/2x = 3   30/x = 3   x = 10 km/hr.   Answer : 10 km/h
Answer: C
What percent is 2 minutes 24 seconds of an hour?
Choose the correct choice from the following options.
A) 6%	B) 2%	C) 4%	D) 8%	E) 9%

Solution: 2mt 24s =144s   144*100/60*60=4%   ANSWER:4%
Answer: C
In how many different ways can the letters A, A, B, B, B, C, D, E be arranged if the letter C must be to the right of the letter D? Choose one
A) 1680	B) 2160	C) 2520	D) 3240	E) 3360

Solution: We have 8 letters out of which A appears twice and B appears three time. Total number of permutation of these letters (without restriction) would be: 8!/2!3!=3360   Now, in half of these cases D will be to the right of C and in half of these cases to the left, hence the final answer would be 3360/2= 
3360/2 = 1_680
1680   1680nswer: 1680.
Answer: A
Smitty Farm picks 9866 cherries a day. If Smitty distributes their apples evenly across 9 different retail shops, how many cherries would remain with him.  Pick one:
A) 1 cherry B) 7 cherry C) 2 cherry D) 4 cherry E) 5 cherry

Solution: This is equivalent to finding the first number that is divisible by 9 that occurs before 9,866.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of   9+8+6+6= 
  9+8+6+6 = 29
29. If we add 7, then it is divisible by 9.   Hence, we need to add 7 to this number for it to be divisible by 9   Correct Option : 7 cherry
Answer: B
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 4 cms, How much did it rain on Wednesday? Choose the most appropriate option:
A) 14
B) 10.5
C) 10.2
D) 10.1
E) 10.6

Solution: Explanation:   Let the rainfall on wednesday = 6x.   âˆ´ Rainfall on the remaining days = 6x   Given,   (6x + 6x )/7 = 4   â‡’12x = 28   â‡’6x = 14   14nswer: 14
Answer: A
Find the next number in the Sequence
2, 9, 30, 65,? Answers: A) 114 B) 165 C) 167 D) 122 E) 126

Solution: +7 =>9   +21 =>30   +35 =>65   +49 =>114   114nswer is 114
Answer: A
Of the 3,600 employees of Company X, 1/4 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?	Choose the correct choice from the following answers.
A) 25%	B) 22.2%	C) 20%	D) 12.5%	E) 11.1%

Solution: Let's see, the way I did it was   1/4 are clerical out of 3600 so 900 are clerical   900 reduced by 1/4 is 900*1/4   so it reduced 225 people , so there is 675 clerical people left   but since 225 people left, it also reduced from the total of 3600 so there are 3375 people total   since 675 clerical left / 3375 people total   you get (20%) 20%
Answer: C
Prathik purchased 40 shirts for rs 3000.he spends 10% for transportation. What should be the selling price per shirt to earn profit of 20% ?
Choose one:
A) 96 rs B) 97 rs C) 98 rs D) 99 rs E) 100 rs

Solution: total CP = 3000 + 3000*10/100= 
3000 + 3000*10/100 = 3_300
3300   to gain 20% profit, SP= (100+20)*3300/100= 
(100+20)*3300/100 = 3_960
3960   selling price per shirt= 3960/40= 
3960/40 = 99
99 rs/shirt   ANSWER:99 rs
Answer: D
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,585.75. How many boxes of plain cookies did she sell? Pick one:	A) 0	B) 233	C) 500	D) 695	E) 791

Solution: Let #plain cookies sold be X then #chocolate cookies = (total cookies-X)   791quating for X   (0.75)*X +(1.25)*(1585-X)=1585.75   =>x=791   791
Answer: E
How many five-digit numbers that do not contain the digits 4 or 7 are there? Answers.
A) 44648	B) 27844	C) 28642	D) 16864	E) 32458

Solution: We can have 7 digits ( 1,2,3,5,6,8,9) for the first place ( ten thousand's place).   and similarly 8 digits for thousand's, hundred's, tenth's and unit digit. ( 0,1,2,3,5,6,8,9)   So in total 7*8*8*8*8= 
7*8*8*8*8 = 28_672
28672   Hence 28642
Answer: C