MU-NLPC/Calc-aqua_rat huggingface dataset:
A dishonest milkman sells his milk at cost price but he mixes it with water and thereby gains 25%.
What is the percentage of water in the mixture? Options:	A) 25%	B) 20%	C) 22%	D) 24%	E) None of these

Solution: Explanation :   --------------------------------------------------------------------------------Solution 1 - Using the concepts learned in   Profit and Loss--------------------------------------------------------------------------------If a trader professes to sell   his goods at cost price, but uses false weights, thenGain%=[Error(True Value−Error)×100]%Here Gain=   25%Here error = quantity of water he mixes in the milk = xHere the true value = true quantity of milk =   TSo the formula becomes 25 = x(T−x)×100⇒1=x(T−x)×4⇒T−x=4x⇒T=5xpercentage of water in the   mixture = xT×100=x5x×100=15×100=20%--------------------------------------------------------------------------------   Solution 2 - Using the concepts learned in Mixtures and Alligations---------------------------------------------------   -----------------------------Let CP of 1 litre milk = Rs.1Given that SP of 1 litre mixture = CP of 1 Litre milk =   Rs.1Given than Gain = 25%Hence CP of 1 litre mixture =   100(100+Gain%)×SP=100(100+25)×1=100125=45   20%y the rule of alligation, we have   CP of 1 litre milk CP of 1 litre water   1 0   CP of 1 litre mixture   4/5   4/5 - 0 = 4/5 1- 4/5 = 1/5   => Quantity of milk : Quantity of water = 4/5 : 1/5 = 4 : 1   Hence percentage of water in the mixture = 15×100=20%   Answer : Option 20%
Answer: B
A grocer has a sale of Rs. 5000 Rs. 5500, Rs. 6000, Rs. 6500 and Rs. 7000 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6125?	Choose the correct answer
A) s. 6500	B) s. 7000	C) s. 7271	D) s. 4997	E) s. 5000

Solution: Total sale for 5 months = Rs. (5000 + 5500 + 6000 + 6500 + 7000) = Rs. 30000   Required sale = Rs. [ (6125 x 6) - 30000 ]   = Rs. (36750 - 30000)   = Rs.6750.   s. 7271)
Answer: C
A man can row upstream at 26 kmph and downstream at 40 kmph, and then find the speed of the man in still water? Choose the correct choice from the following answers.
A) 22	B) 37	C) 30	D) 33	E) 18

Solution: US = 26   33S = 40   M = (40 + 26)/2= 
(40 + 26)/2 = 33
33   Answer:33
Answer: D
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15%, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007 Choose the most appropriate option:
A) 975335
B) 974563
C) 976442
D) 974257
E) 1083875

Solution: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)   = P (1 + 15/100)(1 - 35/100)(1 + 45/100)   = 1083875   1083875
Answer: E
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?	Pick
A) 9
B) 10
C) 12
D) 20
E) 14

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km =(9* 60)/54= 
(9* 60)/54 = 10
10 min.   Answer:10
Answer: B
3^2 + 3^2 + 3^2 + 3^2 =	Pick
A) 3^3	B) 3^6	C) 4^8	D) 4^9	E) 4^12

Solution: Hi shakticnb,   Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think about how you might change the way that the information is presented to you.   Here, for example, we're asked for....   3^2 + 3^2 + 3^2 + 3^2 =   Now, the GMAT doesn't really expect us to calculate this sum (but we could if we had to), but we are expected to find a way to organize this information... If, instead of all of those exponents, we had...   X + X + X + X =   What would the sum be?   Clearly, it would be 4(X) = 4X.....since we're just combining 'like' terms. Take that same idea with this prompt and you have...   3^2 + 3^2 + 3^2 + 3^2 =   3(3^2)   This can be re-written as...   (3^1)(3^2)   ...and now we can use exponent rules; since we're MULTIPLYING 'bases' that are the same, we ADD the exponents...   (3^1)(3^2) = 3^3   Final 3^3nswer:   3^3
Answer: A
If x < 12, then it must be true that... Pick
A) -x < -12  B) -x - 2 < 14  C) -x + 2 < -10  D) x + 2 < 10  E) x - 7 < 18

Solution: A. -x < -12 --> x>12. Not true.   B. -x - 2 < 14 --> x>-16. Not true, consider x=-20.   C. -x + 2 < -10 --> x>12. Not true.   D. x + 2 < 10 --> x<8. Not true, consider x=10.   E. x - 7 < 18 --> x<25. Since given that x<12, then x is for sure less than 13. Thus this statement must be true.   Answer: x - 7 < 18.
Answer: E
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 370 feet by 605 feet? (43,560 square feet = 1 acre)  Choose the correct choice from the following answers
A) $5,330
B) $3,360
C) $1,350
D) $360
E) $154.1

Solution: Basically the question an error. 1 acre = 43,560 square feet and if it is then the answer is 154.1 ($154.1)
Answer: E
A set of numbers has the property that for any number t in the set,t+2 is in the set. If -3 is in the set, which of the following must also be in the set? I. 4 II. 6 III. 3  Choose the correct choice from the following answers.
A) III only  B) II only  C) I only  D) I,III only  E) I,II only

Solution: question is asking for must be there elements.   According to the question if t is there t+2 must be there.   if -3 is the starting element the sequence is as follows.   S ={-3,-1,1,3,5....}   if -3 is not the starting element the sequence is as follows   S = {...-5,-3,-1,1,3,5...}   By observing the above two sequences we can say that 3 must be there in set S.   III onlynswer : III only
Answer: A
From a pack of 52 cards, one card is drawn at random. Find the probability that the drawn card is a club or a jack?  Pick one.
A) 17/52  B) 8/13  C) 4/13  D) 1/13  E) None of these

Solution: EXPLANATION:   n(S) = 52   n(E) = 16   P(E) = n(E) / n(S) = 16/ 52   = 4/13   ANSWER IS 4/13
Answer: C
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?	Answers.
A) 15	B) 20	C) 24	D) 30	E) 35

Solution: B = 1/8 â€“ 1/2 = 1/24 => 24 days   ANSWER 24
Answer: C
There is a train and car. The ratio btw the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 480km in 8h. The speed of the bus is 3/4th of the speed of the train. How much distance will the car cover in 6h?	Select:
A) 320 km	B) 350 km	C) 380 km	D) 400 km	E) 450 km

Solution: Sol. Speed of bus = 480/8= 
480/8 = 60
60km/ h   Speed of train= (60*4)/3= 
(60*4)/3 = 80
80 km / h   Speed of train : Speed of car= 16 : 15   Speed of car =80/16 * 15= 
80/16 * 15 = 75
75 km/ h   Distance covered by car in 6 hr= 75 × 6 = 450 km   450 km
Answer: E
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then  Select the correct option:  A) XB < YD  B) XB < YD  C) AX > XB  D) AX < CD  E) AX > AB

Solution: A------X--B   C--Y------D   AX < CD.   Answer: AX < CD.
Answer: D
Shopkeeper rise price by 35% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choose the correct answer:
A) 5.275%	B) 4.275%	C) 3.275%	D) 6.275%	E) 7.275%

Solution: Let d initial price be 100   35 % rise   now price = 135/100*100= 
135/100*100 = 135
135   10% discount   Then price= 135 * 90/100= 
135 * 90/100 = 243/2 = around 121.5
121.5   15 % discount   Then price= 121.5 * 85/100= 
121.5 * 85/100 = 103.275
103.275   So Gain= 103.275 - 100= 
103.275 - 100 = 3.275
3.275   Gain %= Gain * 100 /3.275%P   ==> 3.275 * 100 /100= 
3.275 * 100 /100 = 3.275
3.275%   ANSWER:3.275%
Answer: C
A shopkeeper labeled the price of his articles so as to earn a profit of 50% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?	Answers:  A) 35%  B) 20%  C) 17%  D) 18%  E) None of these

Solution: Explanation:   Let the CP of the article = Rs.100.   Then labeled price = Rs.150.   SP = Rs.150- 10% of 150 = Rs.150-15 = Rs.135.   Gain = Rs.135 â€“ Rs.100 = Rs.35   Therefore, gain/profit percent = 35%.   35%nswer: Option 35%
Answer: A
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?	Choose the correct choice from the following.
A) 7 kmph	B) 8 kmph	C) 5 kmph	D) 9 kmph	E) 2 kmph

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8 kmph
Answer: B
A man is walking at the rate of 7 km/hr crosses a bridge in 15 minutes. The length of the bridge is	Choose the correct choice from the following:  A) 1000 meters  B) 1050 meters  C) 1200 meters  D) 1750 meters  E) None of these

Solution: Explanation:   We need to get the answer in meters. So we will first of change distance from km/hour to meter/sec by multiplying it with 5/18 and also change 15 minutes to seconds by multiplying it with 60.   Speed=7âˆ—5/18=35/18m/sec   Time=15âˆ—60seconds=900seconds   1750 metersistance=Timeâˆ—Speed/1750 metersistance=35/18âˆ—900=1750meter   Option 1750 meters
Answer: D
For the past n days, the average (arithmetic mean) daily production at a company was 40 units. If today's production of 90 units raises the average to 45 units per day, what is the value of n ?  Options:
A) 30 B) 18 C) 10 D) 9 E) 7

Solution: (average production for n days) * n = (total production for n days) --> 40n=(total production for n days);   (total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 40n + 90 = 45 * (n+1) --> n=9   Answer: 9.
Answer: D
Ayesha’s father was 38 years of age when she was born while her mother was 33 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choose the correct answer:
A) 2 years	B) 9 years	C) 6 years	D) 8 years	E) None

Solution: EXPLANATION   Mother’s age when Ayesha’s brother was born = 33 years.   Father’s age when Ayesha’s brother was born = (38 + 4)= 
(38 + 4) = 42
42 years.   Required difference= (42 – 33) years = 9 years.   Answer 9 years
Answer: B
There was a person who smoked a lot .One day he decided to quit his habbit,but he had 27 cigarettes with him.So he started smoking them one by one ,to finish them. He had the habit of smoking only 2/3rd of it and leaving the rest butt. Latter he found out that by joining 3 butts he can form 1 cigarette. So ,tell how many cigarettes in all he smoked.
Choose the correct choice from the following answers:
A) 30	B) 40	C) 50	D) 60	E) 45

Solution: 27+9+3+1= 
27+9+3+1 = 40
40.   ANSWER:40
Answer: B
Richard walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:30. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Richard's speed in meters per minute?	Pick one
A) 75
B) 180
C) 198
D) 216
E) 252

Solution: Total distance from 10 to 90 =80 + from 90 to 70 =20   So the dist is 100×30(per block dist)   Speed = 3000mts/40min =75m/min   75 is the answer
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choose the correct choice from the following:
A) 1.9	B) 1.5	C) 1.2	D) 1.6	E) 1.1

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer:1.5
Answer: B
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 12 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?  Choose the correct option.
A) 3 B) 6 C) 7.2 D) 7.8 E) 9

Solution: Answer is A.   x/x+36=1/5   x=9   12-9= 
12-9 = 3
3
Answer: A
What is the difference between the place value of 2 in the numeral 7669?
Choose one:
A) 160 B) 165 C) 180 D) 190 E) 540

Solution: Answer: Option '540'    600 - 60= 
 600 - 60 = 540
540
Answer: E
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone
can do the whole work in
Choose the correct choice from the following.
A) 15 days  B) 10 days  C) 9 days  D) 8 days  E) None of these

Solution: Explanation:   Ratio of times taken by 15 days and B = 1:3   Means B will take 3 times which 15 days will do in 1 Ɵme   If difference of time is 2 days, B takes 3 days   If difference of time is 10 days, B takes (3/2) * 10= 
(3/2) * 10 = 15
15 days   15 daysnswer: 15 days
Answer: A
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Pick
A) Rs. 424000  B) Rs. 484000  C) Rs. 502000  D) Rs. 503000  E) Rs. 504000

Solution: B's monthly income = 15000 * 112/100 = Rs. 16800   B's monthly income = 2 parts ----> Rs. 16800   A's monthly income = 5 parts = 5/2 * 16800 = Rs. 42000   A's annual income = Rs. 42000 * 12 = Rs. 504000   Rs. 504000)
Answer: E
There are 7 non-collinear points. How many triangles can be drawn by joining these points?
Choose the correct choice from the following options.
A) 35
B) 10
C) 8
D) 7
E) 6

Solution: Solution:   A triangle is formed by joining any three non-collinear points in pairs.   There are 7 non-collinear points.   The number of triangles formed,   = 7C3   = [{7 *(7−1) *(7−2)} /3! ]   =(7 *6 *5)/(3 *2 *1) = 7 *5= 
7 *5 = 35
35.   35nswer: Option 35
Answer: A
Nine fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choose the correct answer.
A) 72
B) 75
C) 81
D) 84
E) 88

Solution: 9*8= 
9*8 = 72
72   The answer is 72.
Answer: A
In a kilometer race, A beats B by 48 meters or 6 seconds. What time does A take to complete the race?	Choose the correct choice:  A) 22  B) 119  C) 110  D) 109  E) 12

Solution: Time taken by B run 1000 meters = (1000 * 6)/48= 
(1000 * 6)/48 = 125
125 sec.   Time taken by A= 125 - 6= 
125 - 6 = 119
119 sec.Answer:119
Answer: B
Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?	Pick one.
A) 90 sec
B) 87 sec
C) 67 sec
D) 28 sec
E) 27 sec

Solution: Let the length of each train be x m.   (x + x) / (60 + 30)5/18   = (750 * 18) / (30 * 5)= 
(750 * 18) / (30 * 5) = 90
90 sec   90 secnswer:90 sec
Answer: A
The radius of a wheel is 12.6 cm. What is the distance covered by the wheel in making 200 resolutions? Choose the correct choice from the following options:
A) 158.210 m  B) 704 m  C) 153.256 m  D) 158.256 m  E) 204 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 200 resolutions.   = 200* 2 * 22/7 * 12.6 = 15825.6 cm   = 158.256 m   Answer:158.256 m
Answer: D
Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?	Choose the correct choice from the following.
A) 10	B) 12	C) 15	D) 20	E) 25

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distance of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   Answer: Option '15'
Answer: C
A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price. If the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent?	Choose the correct choice from the following answers.
A) 26	B) 37.5	C) 42	D) 44	E) 50

Solution: Answer: D= 44.   Assume Rs. 100 to be the price at which the retailer buys from wholesaler.   80% increase makes Retail price = 180.   Now 20% decrease -> (1-20/100) * 180 = 144.   Now compared to the wholesale price of 100, 44% increase is what will have the same effect as increasing the wholesale price.
Answer: D
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the
child 5 years ago was 20 years. The present age of the husband is	Choose the correct choice from the following: A) 40 B) 35 C) 45 D) 55 E) 65

Solution: Explanation:   Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present ages of wife and child= (20 * 2 + 5 * 2)= 
(20 * 2 + 5 * 2) = 50
50 years.   Husband's present age= (90 - 50)= 
(90 - 50) = 40
40 years   40nswer: Option 40
Answer: A
Average between two sets of numbers is closer to the set withmore numbers? Choose the correct option:
A) 70
B) 80
C) 90
D) 92
E) 94

Solution: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.   Here, 90 has a weight of 3 => it occurs 3 times.   Whereas 80 has a weight of 2 => it occurs 2 times.   So the average is closer to 90 than to 80 as we have just calculated.   80
Answer: B
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choose the correct choice from the following answers
A) 220 B) 230 C) 245 D) 355 E) 345

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: Option 245
Answer: C
the difference between principal amount and simple interest is 100.the rate and time are 5% and 3 years respectively.calculate principal amount. Choose the correct answer: A) 118 B) 122.32 C) 126.36 D) 115.52 E) 117.64

Solution: let principal amount=x,simple interest=x-100.   x-100=x*5*3/100   100x-10000=15x   85x=10000   x=10000/85=117.64   answer 117.64
Answer: E
Find the sum The difference between the compound and S.I. on a certain sum of money for 5 years at 20% per annum is Rs.75 of money?
Choose the correct choice from the following.
A) 1489
B) 6845
C) 2598
D) 1875
E) 2600

Solution: P = 75(100/20)5 => P = 1875   Answer: 1875
Answer: D
The sale price sarees listed for Rs.200 after successive discount is 20% and 10% is?  Choose the correct choice from the following answers.
A) 187  B) 124  C) 172  D) 144  E) 175

Solution: 200*(80/100)*(90/100)= 
200*(80/100)*(90/100) = 144
144   Answer:144
Answer: D
A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 65 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container? Choose the most appropriate option.
A) 7.50
B) 8.75
C) 7.75
D) 9.50
E) 9.75

Solution: We are given that a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. Since we are dealing with a solution, we know that the grams of glucose is proportional to the number of cubic centimeters of solution. Thus, to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution, we can set up a proportion.   We can say: “15 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 65 cubic centimeters of solution.” Let’s now set up the proportion and solve for x.   15/100 = x/65   When we cross multiply we obtain:   (15)(65) = 100x   975 = 100x   9.75 = x   There are 9.75 grams of glucose in the solution in the container.   The answer is 9.75.
Answer: E
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?	Pick:	A) 12	B) 15	C) 19	D) 20	E) 21

Solution: Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,   4x + 6 = 26 4x = 20   x = 5.   Deepak's age = 3x = 15 years.   Ans-15
Answer: B
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?	Pick:
A) 17/65
B) 17/29
C) 17/21
D) P(EᴜP) =17/20
E) 17/212

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20.Answer:P(EᴜP) =17/20
Answer: D
A person bought 129 glass bowls at a rate of Rs. 11 per bowl. He sold 118 of them at Rs. 15 and the remaining broke. What is the percentage gain for A? Choose the correct choice from the following options:
A) 40  B) 2900/129  C) 2430/70  D) 2791/11  E) 2719/8

Solution: CP=129*11= 
129*11 = 1_419
1419 and SP=118*15= 
118*15 = 1_770
1770   Gain %= 100*(1770-1419)/1419= 2900/129   ANSWER:2900/129
Answer: B
If the sum of a number and its square is 182, what is the number?
Choose the correct choice from the following:
A) 13 B) 26 C) 39 D) 45 E) None

Solution: Solution   Let the number be x.   Then, x + x2 = 182	‹=›x2 + x - 182 = 0   ‹=›(x + 14) (x - 13) = 0.   ‹=›x = 13.   13nswer 13
Answer: A
Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively Choices.
A) 19	B) 17	C) 13	D) 15	E) 18

Solution: Explanation:   Trick is HCF of (400-9, 435-10, 541-14)   HCF of (391, 425, 527) = 17   Option 17
Answer: B
The population of a bacteria culture doubles every 1 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria	Choices: A) 9 B) 12 C) 14 D) 16 E) 18

Solution: This one's easy.   1000 * 2^t = 500,000   2^t = 500   Now gauging, since 2^8 = 256, then 2^9 = 512   So t = 9   But be careful, 't' is in time intervals of 1 minutes   So answer is 9*1= 
9*1 = 9
9 minutes   9nswer (9)
Answer: A
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.40 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?	Pick one
A) 0.40x
B) 1.20x
C) 5.60x
D) 1.60x
E) 3.20x

Solution: because we have a total of 4X   Also from Mar- Oct the rakes will be deducted by 1/8 X   so   In Apr they pay for the storage 0.4 * 4X * 7/8   In May they pay for the storage 0.4 * 4X * 6/8   In Jun they pay for the storage 0.4 * 4X * 5/8   In Jul they pay for the storage 0.4 * 4X * 4/8   In Aug they pay for the storage 0.4 * 4X * 3/8   In Sep they pay for the storage 0.4 * 4X * 2/8   In Oct they pay for the storage 0.4 * 4X * 1/8   total = 0.4 * 4X * 1/8 * [ 1+2+3+4+5+6+7]   = 0.4 * X/2 * (28)   = 5.6X   (5.60x)
Answer: C
The function g(x)g(x) is defined as the greatest integer less than or equal to xx, while the function h(x)h(x) is defined as the least integer greater than or equal to xx. What is the product g(1.7)×h(2.3)×g(−1.7)×h(−2.3)?	Answers.
A) 6	B) 9	C) 12	D) 16	E) 24

Solution: g(x) is round down to nearest integer unless its an integer already   h(x) is round up to nearest integer unless its an integer already   so we have   (1)(3)(-2)(-2) as our equation, negative x negative cancels so 3 x 2 x 2 = 6 x 2 = 12.   ANSWER:12
Answer: C
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds. The length of the faster train is
Choose the correct choice from the following answers:
A) 80 m
B) 270 m
C) 120 m
D) 180 m
E) None

Solution: Solution   Relative Speed	= (36 + 45) km/hr   = (81 x 5/18) m/sec   = (45/2) m/sec   Length of the train	= (45 / 2 x 12) m   = 270 m.   Answer 270 m
Answer: B
What is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular hexagon?
Choose the correct choice from the following answers.
A) 1/4	B) 1/3	C) 1/2	D) 2/3	E) 7/9

Solution: It has two vertices on sides, which do not make a diagonal but a side..   So remaining 3 vertices make diagonals... only the opposite vertex will make largest diagonal and other TWO smaller ones..   So prob =2/(2+1)=2/3   Answer:2/3
Answer: D