MU-NLPC/Calc-aqua_rat huggingface dataset:
Certain sales in December were 50% less than they were in January and 50% greater than they were in Febuary. What was the percentage decrease in the stocks from January to February ?
Choose the correct answer: A) 70.1% B) 55% C) 66.7% D) 57.5% E) 45.8%

Solution: Let stocks value in Feb = 100 => In Jan =50 and March = 50 * 100/150 = 33.3   Thus, percent decrease in stocks from Feb to March = 100 - 33.3= 
100 - 33.3 = 66.7
66.7%   Hence Answer is 66.7%
Answer: C
A disease has infected an ant colony that consists ofworkersandsoldiers: 30% of the soldiers and 14% of theworkerswere infected. If that colony is inhabited by 7000 ants, out of which 1580 are infected, how manyworkersinhabit the colony?  Choose the correct choice from the following
A) 1500  B) 2500  C) 2750  D) 3000  E) 3250

Solution: From two question we get wo equations:   (1) 0,3s + 0,14w = 1580   (2) s + w = 7000   From (2) we get w=7000-s   In (1) 0,3s + 980-0,14s= 1580   0,16s=600   60000:16= 3750 =s   In (2) 3750 + w = 7000   w= 3250 3250
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?	Choices.
A) 7 B) 9 C) 8 D) 11 E) 10

Solution: Explanation:   Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 27   ⇒ 5x = 25   ⇒ x = 5.   Hence, B's age = 2x = 10 years.   Answer: 10
Answer: E
A certain fruit stand sold jackfruit for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Choose the correct choice from the following answers:	A) 16	B) 15	C) 14	D) 13	E) 11

Solution: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.   63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7 .   11
Answer: E
jeya travels the first 8 hours of her journey at 50 mph speed and the remaining 2 hours at 30mph speed. What is the average speed of jeya's travel in mph?
Answers: A) 41mph B) 43mph C) 44mph D) 42mph E) 46mph

Solution: Explanation :   Average speed=Total Distance/Time.   Total distance travelled by jeya= Distance covered in the first 8 hours + Distance covered in the next 2 hours.   Distance covered in the first 8 hours = 8Ã—50=400 miles   Distance covered in the next 2 hours= 2Ã—30=60 miles   Therefore, total distance travelled = 400+60= 
400+60 = 460
460 miles.   The total time taken= 8+2= 
8+2 = 10
10hours.   Hence, the average speed=460/10= 
460/10 = 46
46mph.   Answer : 46mph
Answer: E
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 21 seconds, what is the ratio of their speeds?
Choose the most appropriate option:	A) 1:3	B) 3:1	C) 2:3	D) 3:2	E) 3:4

Solution: Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 21 s   = (27x + 17 y)/(x+y) = 21   = (27x + 17 y)/ = 21(x+y)   = 6x = 4y   =x/y = 4/6 = 2/3 i.e 2:3   Answer :2:3
Answer: C
What is the four-digit number in which the first digit is 1/3 of the second,the third is the sum of the first and second, and the last is three times the second? Choose the correct choice from the following choices:
A) 1349
B) 1347
C) 1449
D) 2349
E) 1399

Solution: It is given that the first digit is 1/3 of the second. There are 3 such possibilities 1)1 and 3   2)2 and 6   3)3 and 9   Now, the third digit is the sum of the first and second digits.   1)1 + 3 = 4   2)2 + 6 = 8   3)3 + 9 = 12   It is clear that option 3 is not possible. So we are left with only two options.Also, the last digit is three times the second, which rules out the secondoption. Hence, the answer is 1349   1349NSWER:1349
Answer: A
If w is a positive integer and 10^w – 74 in decimal notation has digits whose sum is 440, what is the value of w?
Choose the correct option:
A) 40	B) 44	C) 45	D) 46	E) 50

Solution: Answer E = 50   We have (10^w)-74, where the sum of the digits is 440.   100-74= 
100-74 = 26
26, so we already have   2+6= 
  2+6 = 8
8 from the 440.   Because we have a power of 10, we will have numbers like 100, 1000, 10000 and so on. This minus 74 rests 26 and a lot of 9s. E.g: 1000-74= 9926.   So dividing the  432/9= 
 432/9 = 48
48, that`s the number of 9s. and we have 2 other numbers (2 and 6) wich were 00 before the subtraction.   So we have   48 + 2= 
  48 + 2 = 50
50
Answer: E
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?  Choose the correct choice from the following options
A) 87 Kmph
B) 97 Kmph
C) 72 Kmph
D) 28 Kmph
E) 19 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/20= 
400/20 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   Answer: 72 Kmph
Answer: C
What is the area of square field whose side of length 15 m?
Choices.
A) 225 sq m
B) 297 sq m
C) 167 sq m
D) 112 sq m
E) 981 sq m

Solution: 15 * 15= 
15 * 15 = 225
225 sq m   225 sq mnswer: 225 sq m
Answer: A
Find the value of 72519 x 9999=m?	Choose the most appropriate option: A) 678994226 B) 357900042 C) 567890900 D) 725117481 E) 567788990

Solution: 72519 x 9999 = 72519 x (10000 - 1)   = 72519 x 10000 - 72519 x 1   = 725190000 - 72519= 
725190000 - 72519 = 725_117_481
725117481   725117481
Answer: D
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 100 years. Can you tell my grandson age in years?
Choose the most appropriate option: A) 50 years B) 20 years C) 5 years D) 10 years E) 90 years

Solution: Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,365g = 52s.Since my grandson is 12g months old,12g = m.Since my grandson, my son and I together are 120 years,g + s + m = 100.The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows:g + 365g / 52 + 12g = 100 or52g + 365g + 624g = 5,200 org = 5,200 / 1,041 = 5 yearsAnswer : 5 years
Answer: C
A new ram material product $2.67 raw , $0.67 to manufacture, $4.73 to packing and sell price $9.03. How many unit order sold with profit 44000?	Answers:	A) 4583.33	B) 4683.33	C) 4783.33	D) 4883.33	E) 4983.33

Solution: CP = 2.67 + 0.67 + 4.73= 
2.67 + 0.67 + 4.73 = 8.07
8.07   SP=9.03   Profit = 9.03 - 8.07= 
9.03 - 8.07 = 0.96
0.96   Unit order sold= 44000/0.96   =4583.33 unit order   4583.33NSWER:4583.33
Answer: A
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 65520000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.	Choices.
A) 130000000  B) 12500  C) 14000  D) 12000  E) None of these

Solution: Explanation :   Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 65520000.   (75/100 * 96/100 * 70/100 * x) = 65520000.   => x = (65520000*100*100*100)/(75*96*70)= 
(65520000*100*100*100)/(75*96*70) = 130_000_000
130000000   130000000nswer : 130000000
Answer: A
City A to city B, Andrew drove for 1hr at 40 mph and for 3 hours at 60 mph. What was the average speed for the whole trip? Choose the correct choice from the following options.
A) 55  B) 57.5  C) 61  D) 61.5  E) 62.5

Solution: The total distance is 1×40+3×60=220   And the total time is 4 hours. Hence,   55verage Speed=(Total Distance/Total Time)   =220/4= 
220/4 = 55
55   55
Answer: A
You and your friend spent a total of $15 for lunch. Your friend spent $5 more than you. How much did your friend spend on their lunch?	Choose the correct choice
A) $9 B) $3 C) $4 D) $6 E) $10

Solution: My lunch = l, my friends lunch = l+5   (l)+(l+5)=15   l+l+5-5=15-5   2l=10   l=5   My friends lunch l+5= 
+5 = 5
5+5= 
5+5 = 10
$10, the answer is $10
Answer: E
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 20 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 8 minutes?	Choose one:  A) 100  B) 90  C) 80  D) 30  E) 50

Solution: Machine B produces 100 part in 20 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in  20/2= 
 20/2 = 10
10 minutes.   Now, Machine A produces 100 parts in 10 minutes which is 100/10= 
100/10 = 10
10 parts/minute.   10 parts X a total of 8 minutes= 80   80
Answer: C
A boy has to cover a total distance of 300 kms. in 6 hours. He travels at the rate of 60 kmph. for first 90 minutes and next 100 kms. at the rate of 50 kmph. At what average speed must he travel now in order to complete the journey in 6 hours? Choose the most appropriate option: A) 25 kmph. B) 32 kmph C) 44 kmph D) 58 kmph E) None of these

Solution: Explanation:   The boy travels 60 kmph for 90 min, this means he travels 90 km.   Next 100 km at the rate of 50 kmph, this means he travels 100 km.   Total distance traveled till now = 100 + 90= 
100 + 90 = 190
190 km   Time spent= 1.5 + 2= 
1.5 + 2 = 3.5
3.5 hr   Required speed= Remaining distance/ Time   = (300 – 190) /(6 – 3.5)   = 110/ 2.5= 
110/ 2.5 = 44
44 kmph   ANSWER: 44 kmph
Answer: C
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choose the correct choice from the following answers:
A) 0.008
B) 0.125
C) 0.128
D) 0.512
E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probability of rain = 0.2   Therefore, probability of no rain = 0.8   0.8*0.8*0.2= 
0.8*0.8*0.2 = 0.128
0.128   Hence 0.128
Answer: C
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?  Choose the correct choice from the following answers
A) 1/5 B) 1/3 C) 3/7 D) 2/7 E) 3/7

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
Answer: B
A tap can fill a tank in 16 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?	Answers:  A) 2 hrs  B) 1 hrs  C) 10 hrs  D) 5 hrs  E) 4 hrs

Solution: Explanation:   A tap can fill a tank in 16 hours.   Therefore the tap can fill half the tank in 8 hours.   One tap take time to fill half of the tank = 8 hrs   4 taps take time to fill half of the tank =8/4= 
8/4 = 2
2 hrs   Total time taken to fill the tank= 8 hr+2 hr = 10 hrs   Answer : 10 hrs
Answer: C
A car gets 30 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers?
Choose one: A) 3.5 gallons B) 2.7 gallons C) 6.7 gallons D) 4.5 gallons E) 7.5 gallons

Solution: Each 30 kilometers, 1 gallon is needed. We need to know how many 30 kilometers are there in 200 kilometers?   200 Ã· 30 = 6.7 Ã— 1 gallon = 6.7 gallons   correct answer is 6.7 gallons) 6.7 gallons
Answer: C
In digging a pond 28 m * 10 m * 5 m the volumes of the soil extracted will be?	Choose the correct choice from the following options:	A) 3387	B) 1000	C) 2866	D) 2787	E) 1400

Solution: 28 * 10 * 5= 
28 * 10 * 5 = 1_400
1400   Answer: 1400
Answer: E
The lateral surface area of cube is 100 sq.units. find the volume of cube?	Choose the correct choice
A) 135
B) 155
C) 125
D) 145
E) 115

Solution: Lateral surface = 4 a(power)2 = 100 sq.units   a(power)2 = 25   a = 5.   125ube volume = a(power)3 => 125 m(power)3   Answer is 125.
Answer: C
A statue is being carved by a sculptor. The original piece of marble weighed 300 kg. In the first week 30 percent is cut away. In the second week 30 percent of the remainder is cut away. In the third week the statue is completed when 15 percent of the remainder is cut away. What is the weight of the final statue?  Choose the correct choice:
A) 105 kg
B) 103 kg
C) 108 kg
D) 125 kg
E) 117 kg

Solution: 125 kg   125 kg   300 Ã— 0.7 Ã— 0.7 Ã— 0.85 = 125 kg.
Answer: D
A can do a job in 12 days and B can do it in 15 days. A and B working together will finish twice the amount of work in days?  Choose the most appropriate option:
A) 22 1/6	B) 22 1/2	C) 22 1/0	D) 22 1/9	E) 13 1/3

Solution: 1/12 + 1/15 = 9/60 = 3/20   20/3 = 20/3 *2 = 13 1/3 days   Answer: 13 1/3
Answer: E
A number increased by 20% gives 480. The number is
Options:  A) 200  B) 400  C) 300  D) 450  E) 500

Solution: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"   A number means = 100 %   That same number increased by 20 % = 120 %   120 % -------> 480 (120 × 4 = 480)   100 % -------> 400 (100 × 4 = 400)   400)
Answer: B
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.9 km and 2.1 km respectively. The time taken by the slower train to cross the faster train in seconds is? Choose the correct answer:
A) 99
B) 277
C) 48
D) 96
E) 22

Solution: Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.9 + 2.1= 
1.9 + 2.1 = 4
4 km= 4000 m.   Required time = 4000 * 3/125= 
4000 * 3/125 = 96
96 sec.   Answer:96
Answer: D
An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?  Choices
A) 5  B) 10  C) 15  D) 20  E) 25

Solution: Total Employees: 6   Female: 5   Male: 1   committee of 3 with inclusion of Male   Number of ways Female can be selected : 5C2 = 10   For male it should be 6C1 or 6C6   6C1= 6   6C6= 1   ANS= 10 10
Answer: B
A certain number of two digits is three times the sum of its digits and if 45 be added to it, the degits are reversed. The number is.  Options:
A) 23 B) 27 C) 32 D) 72 E) 46

Solution: Let the ten's digit be x and unit's digit be y.   Then 10x + y = 3 (x+y) ==> 7x - 2y = 0 ==> 7x - 2y = 0----> (I)   10 + y + 45 = 10y + x ==> y - x = 5 ===> -2x + 2y = 10------(II)   By adding (I) and (II) we get 5x = 10   so x = 2 and y = 7 so the required number is 27.   so the correct option is 27) 27.
Answer: B
You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46, and 78 Kgs.. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 Kgs.?  Options:
A) 178	B) 180	C) 181	D) 182	E) 183

Solution: balance=52+50+48+44+45+46+78-183   ANSW183R:183
Answer: E
Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Choose the most appropriate option:	A) 2:1	B) 4:1	C) 3:1	D) 2:3	E) 4:3

Solution: The ratio of milk and water in the new vessel is = (4/5 + 7/10) : (1/5 + 3/10)   = 3/2 : 1/2 = 3:1   Answer is 3:1
Answer: C
A train is moving at a speed of 30km/hr and its length is 100m. Find the time taken by it to pass a man standing near the railway line? Choices:  A) 12sec  B) 10sec  C) 15sec  D) 18sec  E) 22sec

Solution: Speed of the train = 30*5/18 = 25/3 m/sec   Distance moved in passing the standing man = 100m   Required time taken = 100/(25/3) = 100*3/25= 
100*3/25 = 12
12sec   12secnswer is 12sec
Answer: A
The mean of 50 observations was 32. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is	Choose the correct answer:	A) 35.2	B) 32.5	C) 36.5	D) 39.1	E) None

Solution: Sol.   Therefore correct sum   = ( 32 × 50 + 48 – 23)   = 1625.   Therefore correct mean   = 1625 / 50   = 32.5.   Answer 32.5
Answer: B
A vessel of capacity 60 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? Choose the correct choice from the following:
A) 23.89  B) 72.9  C) 38.3  D) 43.35  E) 79.3

Solution: Explanation:   Let the initial quantity of milk in vessel be T litres.   Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.   Quantity of milk finally in the vessel is then given by [(T - y)/T]^n * T   For the given problem, T = 60, y = 9 and n = 2.   Hence, quantity of milk finally in the vessel   = [(60 - 9)/60]^2 (60) = 43.35 litres.   Answer: Option 43.35
Answer: D
Last year, Company X paid out a total of $1,050,000 in salaries to its 31 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?	Choose the correct choice
A) $10,000
B) $$28,378.37
C) $42,000
D) $50,000
E) $60,000

Solution: Employee 1 earned $x(say)   Employee 2 will not earn more than $1.2x   Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 30 employees   (1.2x*30)+x=1,050,000   Solving for x=$28,378.37   Answer $$28,378.37
Answer: B
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?  Choose the correct choice
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: 3 < x < 6 < y < 10;   3 < x   y < 10   3 + y < x + 10   y - x < 7.   Positive integer difference is 6 (for example y = 9.5 and x = 3.5)   Answer: 6.
Answer: D
A secondhand car was purchased for £8000. After three years the car's value had decreased by 35%.Find the price of the car after three years.
Select the correct option.
A) £5100
B) £5200
C) £5300
D) £5400
E) £5400

Solution: Solution   We begin by finding 10% of £8000 by dividing by 10. So 10% = £800.   Now 5% is half of 10% so 5% = £400   So 35% = 10% + 10% + 10% + 5% = 800 + 800 + 800 + 400= 
800 + 800 + 800 + 400 = 2_800
£2800   The find the value of the car after three years subtract 35% from the original amount.   £8000 - £2800 = £5200   Answer £5200 8000 -  2800= 
 8000 -  2800 = 5_200
£5200   Answer £5200
Answer: B
If the S.P of Rs. 63 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
Choose one
A) s. 55
B) s. 56
C) s. 57
D) s. 58
E) s. 59

Solution: Let the list price be Rs. X,   90/100*x = 63, x = 63*100/90= 
63*100/90 = 70
70   Required S.P= 80% of Rs. 70   = 80*70/100= 
80*70/100 = 56
56   ANSWER:s. 56
Answer: B
If -3x > 0, which of the following must be true?
Choose the correct choice from the following
A) x < -3 B) x < -2 C) x > 3 D) x > -2 E) x < 0

Solution: -3x > 0   => -x > 0   => x < 0   Answer x < 0
Answer: E
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?	Answers
A) 148 B) 210 C) 126 D) 248 E) 258

Solution: 3/7 x – 40/100 x = 12   x = 35 * 12   35 * 12 * 60/100= 
35 * 12 * 60/100 = 252
252/2= 
252/2 = 126
126   ANSWER:126
Answer: C
Circular gears L and R start to rotate at the same time at the same rate. Gear R makes 10 complete revolutions per minute and gear L makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear L have made exactly 6 more revolutions than gear R?
Pick one.
A) a) 6 B) b) 12 C) c) 10 D) d) 14 E) e) 15

Solution: GearR -- 10 rotations per 60 seconds -- 1 rotation per 6 seconds.   Gear L -- 40 rotations per 60 seconds -- 4 rotations per 6 seconds.   First 6 seconds -- Gear R makes 1 rotation. -- Gear L makes 4 rotations -- Net difference -- 3 rotations   Hence every 6 seconds the difference between the number of rotations of R and L gear is 3 units.   Required net difference should be 6 rotations => 2 (6 seconds later) ==> 12 seconds.   Answer: b) 12
Answer: B
The area of playground is 6000 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.	Answers:
A) a) $144
B) b) $150.50
C) c) $168
D) d) $158.60
E) e) $160.70

Solution: total volume * unit cost = total cost   or, 6000 * 0.01 * 2.8 = total cost = 168=c) $168
Answer: C
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?	Choose the correct choice from the following answers.
A) 22 B) 28 C) 17 D) 12 E) 88

Solution: 2 * 22/7 * 14 * x = 1056 => x = 12   Answer: 12
Answer: D
Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally? Choose the correct choice:
A) 1/6 min B) 1/7 min C) 1/8 min D) 1/9 min E) 1/5 min

Solution: both are approaching each other relative speed=60+60= 
60+60 = 120
120m/h   distance=50m   time=50/120=5/12hrs= 25 minutes to meet   now,   relative length of train= 1/6+1/6=1/3m   relative speed = 120m/h   time to cross both the trains= (1/3)/120=1/360 hrs   = 1/6 minutes   1/6 minNSWER:1/6 min
Answer: A
The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :
Pick one
A) 22 cm B) 20 cm C) 18 cm D) 10 cm E) None of these

Solution: Explanation:   Area of triangle, A1 = 1/2∗base∗height   =1/2∗15∗12=90cm2   Area of second triangle =2∗A1=180cm2   1/2∗20∗height=180   =>height=18cm   Option 18 cm
Answer: C
In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 20 liters of milk, the can would be full and the ratio of milk and water would become 3:1. Find the capacity of the can?
Pick
A) 52 B) 56 C) 60 D) 64 E) 68

Solution: Let C be the capacity of the can.   (5/8)*(60-20)+20=(3/4)*60   560-100+160=660   60=60   The answer is 60.
Answer: C
Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $100 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
Select the correct option.
A) 121	B) 125	C) 132	D) 134	E) 138

Solution: let the no. of 5 liter bottles be x, so the no. of 10l bottles will be x/2 (to equate the vol.) since the total cost will be equal , 2x= 100+x/2 so x= 133.33 or 134. Answer is (134).
Answer: D
Sum of two numbers is 30. Two times of the first exceeds by 10 from the three times of the other. Then the numbers will be?	Pick one:
A) 14, 16
B) 16, 14
C) 18, 12
D) 12, 18
E) 17, 13

Solution: Explanation:   x + y = 30   2x Ã¢â‚¬â€œ 3y = 10   x = 16 y = 14   Answer: 16, 14
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?  Choices.
A) 2.5 sec B) 2.8 sec C) 3.5 sec D) 2.7 sec E) 5.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5 secnswer: 2.5 sec
Answer: A
60 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?	Choose the correct option:
A) 8 days  B) 6 days  C) 7 days  D) 9 days  E) 12 days

Solution: 1 women's 1 day work = 1/420   1 child's 1 day work = 1/140   (5 women + 10 children)'s 1 day work   = (5/420 + 10/140) = 1/12   5 women and 10 children will complete the work in 12 days.   Answer: 12 days
Answer: E