MU-NLPC/Calc-aqua_rat huggingface dataset:
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?  Choose one.
A) 6:6  B) 6:3  C) 6:5  D) 6:8  E) 6:1

Solution: 4:5   3:2   -------   12:15:10   12:10   6:5   Answer: 6:5
Answer: C
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Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 8 days. In how many days Peter complete the work separately. Options.
A) 20 days  B) 27 days  C) 23 days  D) 25 days  E) 24 days

Solution: Together they complete the job in 20 days means they complete 12/20 of the job after 12 days.   Peter completes the remaining (8/20) of the job in 8 days which means that the whole job(1) can be completed in X days.   <=> 8/20->8 <=> X=8/(8/20)= 
8/(8/20) = 20
20 Thus the answer is 20 days.
Answer: A
The average (arithmetic mean) of eight numbers is 46.1. If the sum of half of these numbers is 158.4, what is the average of the other half? Pick.
A) 12.8	B) 24.2	C) 52.6	D) 72.1	E) 96.8

Solution: arithmetic mean = sum / total numbers   sum = 46.1 * 8= 
46.1 * 8 = 368.8
368.8   sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum= 368.8-158.4= 
368.8-158.4 = 210.4
210.4   Arithmetic mean of the 4 nos= 210.4/4= 
210.4/4 = 52.6
52.6   Hence, 52.6 is the answer.
Answer: C
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many Q eggs does the plant process per day? Choose the correct choice from the following choices:
A) 100  B) 300  C) 400  D) 3,000  E) 4,000

Solution: Straight pluggin in for me. As usual, I started with C and got the answer.   Lets' back calculate and see what we get   Let us consider eggs processed each day to be 400   So Initial ratio of eggs processed and rejected is 96:4 or 24:1   So out of 400 eggs, there will be 384 eggs processed and 16 rejected.   Now if the no. of eggs inspected remain and 12 more eggs get accepted that means there Q=384+12= 
384+12 = 396
396 eggs accepted and 4 rejected...and the ratio will be 99:1   Bingo...this is what the questions says....   Its always a good idea to start with 400.
Answer: C
What is the least number which should be added to 2782 so that the sum is exactly divisible by 5, 6, 4, and 3? Pick:  A) 26  B) 32  C) 38  D) 46  E) 52

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   When dividing 2782 by 60, the remainder is 22.   The number to be added = 60 - 22= 
60 - 22 = 38
38.   The answer is 38.
Answer: C
Bob starts out in his car traveling 30 mph. Four hours later, Mr. Speedster starts out from the
same point at 60 mph to overtake Bob. In how many hours will he catch him?	Answers.
A) 4 hours  B) 6 hours  C) 8 hours  D) 2 hours  E) 9 hours

Solution: Making the d = rt chart   d = r x t   Bob 30 x + 4   Mr. Speedster 60 x   Since Mr. Speedster traveled the least amount of time, we called that x. This is a TYPE A   problem, the distances are equal.   DBob = DSpeedster   30(x + 4) = 60x   30x + 120 = 60x   120 = 30x   4 = x It will take 4 hours to catch Bob.   correct answer 4 hours
Answer: A
Speed of a goods train is 72 km/hr. This train crosses a 250 meter plaƞorm in 26 seconds. Then find
the length of goods train.	Choices: A) 250 meters B) 260 meters C) 270 meters D) 280 meters E) None of these

Solution: Explanation:   First convert speed from km/hr to m/sec   So, Speed = 72*(5/18)= 
72*(5/18) = 20
20 m/sec   Time= 26 seconds   Let the length of the train be x meters.   We know, Distance = Speed*Time.   [you can remember this formula as remembering DUST = D*ST... Distance=Speed*Time]   x+250 = 20*26   => x = 270 meters   So length of the goods train is 270 meter   Answer: 270 meters
Answer: C
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have Choose the most appropriate option.
A) 4	B) 6	C) 9	D) 10	E) 5

Solution: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and bottom, hence  4+1= 
 4+1 = 5
5.   5
Answer: E
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choose one
A) 14 km/hr  B) 13 km/hr  C) 12 km/hr  D) 11 km/hr  E) 10 km/hr

Solution: Let speed of the boat in still water = a and speed of the stream = b   Then   a + b = 14   a - b = 8   Adding these two equations, we get 2a = 22   => a = 11   ie, speed of boat in still water = 11 km/hr   ANSWER:11 km/hr
Answer: D
252 can be expressed as a product of primes as Choose the most appropriate option.
A) 2 x 2 x 3 x 3 x 7
B) 2 x 2 x 2 x 3 x 7
C) 3 x 3 x 3 x 3 x 7
D) 2 x 3 x 3 x 3 x 7
E) None of these

Solution: Solution   Clearly, 252 = 2 x 2 x 3 x 3 x 7.2 x 2 x 3 x 3 x 7nswer 2 x 2 x 3 x 3 x 7
Answer: A
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?	Choose the correct choice from the following choices
A) Rs.429 B) Rs.480 C) Rs.420 D) Rs.418 E) Rs.429

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.160   SP = CP - Loss = 640 - 160 = Rs.480   Answer:Rs.480
Answer: B
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Choose the correct choice from the following options
A) 134456 m	B) 144556 m	C) 153600 m	D) 156680 m	E) 167800 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ?  Choose the correct choice from the following answers: A) 1288 B) 2797 C) 3944 D) 1299 E) 1082

Solution: Let the side of the square plot be 'a' ft.   Given area of the plot (a x a) = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 x 58 = Rs. 3944.   Answer: 3944
Answer: C
----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 140 students answered yes only for subject M, how many of the students did not answer yes for either subject? Pick one:
A) 100	B) 260	C) 360	D) 400	E) 500

Solution: Since 140 students answered yes only for subject M, then the remaining 360 students who answered yes for subject M, also answered yes for subject R. So, 360 students answered yes for both subjects.   If 360 students answered yes for both subjects, then 400-360= 
400-360 = 40
40 students answered yes only for subject R.   So, we have that:   200 students answered yes only for subject M;   40 students answered yes only for subject R;   300 students answered yes for both subjects;   Therefore 800-(200+40+300)= 
800-(200+40+300) = 260
260 students did not answer yes for either subject.   Answer: 260.
Answer: B
In what time will a train 60 m long cross an electric pole, it its speed be 144 km/hr?  Choose the correct choice from the following options.
A) 2.5 sec  B) 2.8 sec  C) 7.5 sec  D) 2.3 sec  E) 1.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 60/40= 
60/40 = 3/2 = around 1.5
1.5 sec.   Answer:1.5 sec
Answer: E
In a 1000 m race, A beats B by 400 meters or 25 seconds. Find the speed of B?	Choose the correct option: A) 8 B) 9 C) 7 D) 16 E) 2

Solution: Since A beats B by 400 m or 25 seconds, i   t implies that B covers 400 m in 25 seconds.   Hence speed of B = 400/25= 
400/25 = 16
16 m/s.   Answer: 16
Answer: D
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest) Select the correct option:
A) 77	B) 656	C) 20	D) 88	E) 12

Solution: Present total age of the members = 26(5) = 130 years.   Present age of the youngest member = 10 years   Present total age of the remaining four members = 130 -10= 
130 -10 = 120
120 years   Their average age at the time of the birth of the youngest member= [120 - (4 * 10)] / 4 = 30 - 10= 
30 - 10 = 20
20 years.   Answer: 20
Answer: C
60 boys can complete a work in 40 days.how many men need to complete twice the work in 20 days  Choices:
A) 160  B) 170  C) 180  D) 190  E) 240

Solution: one man can complete the work in 40*60= 
40*60 = 2_400
2400 days= one time work   to Complete the work twice it will be completed in   let M be the no. of worker assign for this therefore the eqn becomes   M*20=2*2400   M=240 workers   ANSW240R:240
Answer: E
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 4 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.	Choose one
A) 2/25	B) 4/75	C) 8/75	D) 3/5	E) 4/5

Solution: Probability of sand dune blown out = 2/3   Probability that it has treasure = 1/5   Probability that it has lucky coupon = 4/5   total probability = 2/3 * 1/5 * 4/5 = 8/75   ANSWER:8/75
Answer: C
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 190 m long?
Pick:	A) 38 sec	B) 35 sec	C) 44 sec	D) 40 sec	E) 50 sec

Solution: Explanation:   Speed = 45 km/hr = 45×(10/36) m/s   = 150/12 = 50/4 = 25/2 m/s   Total distance = length of the train + length of the platform   = 360 + 190= 
360 + 190 = 550
550 meter   Time taken to cross the platform= 550/(25/2) = 550×2/25 = 44 seconds   Answer: Option 44 sec
Answer: C
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 36m/h. what is the speed of the person while he was going to his office?  Choose the correct choice from the following options:
A) 8km/h B) 9km/h C) 10km/h D) 11km/h E) 24km/h

Solution: u = k , v= 3k   \inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=36   \inline \Rightarrow 1.5k = 36   \inline \Rightarrow k=24km/h   24km/h
Answer: E
I'm building a wall out of square blocks (1 ft x 1 ft) and want the wall to be perfectly square. Currently the unfinished wall has a width of 50 feet and an area of 2000 square feet. How many more blocks do I need to add to make the wall a perfect square with the present width? Select the correct option
A) 200
B) 10
C) 50
D) 500
E) 150

Solution: If the wall has a width of 50 and an area of 2000, then the current height is  2000/50= 
 2000/50 = 40
40   We must expand the height to 50 feet by adding 10 more rows.   Each row has a width of 50, so 500 more blocks are required to finish the wall.   The answer is 500.
Answer: D
A sum of money at simple interest amount to Rs 720 after 2 years and to Rs 1020 after a further period of 5 years.The sum is:	Pick one:
A) 600
B) 450
C) 650
D) 500
E) 550

Solution: Simple Interest for 5 year = Rs.(1020 - 720) = Rs. 300.   Simple Interest for 2 year = Rs.(300/5×2) = Rs. 120.   Principal = Rs. (720 - 120) = Rs. 600.   600NSWER : 600
Answer: A
A woman sold 300 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 5 for 85 cents. How many were sold at the first rate?  Choose the correct choice from the following answers
A) 46 B) 21 C) 9 D) 15 E) 12

Solution: This can be solved like a classical mixture problem but numbers are awkward to deal with.   It's easier to just look at the answer choices. You know that a multiple of 3 oranges has to be sold at the first rate, and a multiple of 5 at the second rate. You simple subtract the answer choices for the first rate from 300 and check whether the remainder (i.e. the number of oranges sold at the second rate) is a multiple of 5.   300 - 46 = 255 => not a multiple of 5 so exclude     300 - 21= 
  300 - 21 = 279
279=> not a multiple of 5 so exclude     300 -9= 
  300 -9 = 291
291=> not a multiple of 5 so exclude     300 - 15= 
  300 - 15 = 285
285=> a multiple of 5 so keep     300 - 12= 
  300 - 12 = 288
288=> not a multiple of 5 so exclude   Hence, answer choice 15 is correct.   15
Answer: D
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 15 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
Choose the correct option.
A) 61%
B) 70%
C) 75%
D) 85%
E) 95%

Solution: find the product of the two increases: (1.4) * (.15) , which is 1.61 and a 61% increase.   61%
Answer: A
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choose the correct choice from the following options.
A) 4/5 km  B) 9/5 km  C) 7/5 km  D) 5/5 km  E) 4/9 km

Solution: Explanation:   x/3 – x/4 = 4/60   x = 4/5 km   4/5 kmnswer: Option 4/5 km
Answer: A
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Select the correct option:
A) 28%
B) 20%
C) 38%
D) 30%
E) 22%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer:20%
Answer: B
The ratio of pens to pencils is 5 to 6. There are 5 more pencils than pens. How many pencils are there?
Choose one.
A) 24	B) 30	C) 36	D) 42	E) 48

Solution: Let the number of pens be 5x and the number of pencils be 6x.   6x - 5x = 5   x = 5   The number of pencils is 30.   The answer is 30.
Answer: B
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 1 centimeter. The actual diameter of the tissue, in centimeters, is	Answers:	A) 0.005	B) 0.002	C) 0.001	D) 0.0005	E) 0.0002

Solution: It is very easy if x is the diameter, then the magnified length is 1000x.   ince 1000x=1 then x=1/1000=0.001.   The answer is 0.001
Answer: C
If a certain sample of data has a mean of 22.0 and the value 40.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
Choose the correct choice from the following choices:
A) 3.75 B) 7.15 C) 3.25 D) 3.0 E) 2.75

Solution: 40.0 is more than 2.5 standard deviations from 22 --> 40 > 222 + 2.5*{SD} --> 2.5*{SD} < 18 --> {SD} < 7.2. Only option 7.15 offers the standard deviation less than 7.2   Answer: 7.15
Answer: B
Find the cost price of an item if by selling at Rs.900, a profit of 20% is made?  Choose the correct option: A) Rs.780 B) Rs.720 C) Rs.700 D) Rs.750 E) Rs.729

Solution: SP = 900   CP = (SP)*[100/(100+P)]   = 900 * [100/(100+20)]   = Rs.720   Answer: Rs.720
Answer: B
Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 435m tall and the Petronas Towers is 445m tall?
Choices.
A) 10	B) 17	C) 23	D) 45	E) 12

Solution: 445-435=10.10nswer is 10.
Answer: A
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 216 km downstream Pick.
A) 5 hours	B) 4 hours	C) 3 hours	D) 2 hours	E) 8 hours

Solution: Explanation :   Speed of the boat in still water = 22 km/hr   speed of the stream = 5 km/hr   Speed downstream = (22+5)= 
(22+5) = 27
27 km/hr   Distance travelled downstream= 216 km   Time taken = distance/speed = 216/27= 
216/27 = 8
8 hours. Answer : Option 8 hours
Answer: E
he average of 30 numbers is zero. Of them, at the most, how many may be greater than zero? Choose the correct option
A) 29	B) 1	C) 10	D) 30	E) 8

Solution: Average of 30 numbers = 0.   Sum of 30 numbers (0 x 30) = 0.   It is quite possible that 29 of these numbers may be positive and if their sum is a the 30th number is (-a).   29nswer: Option 29
Answer: A
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?  Select
A) Rs.10123.67 B) Rs.10123.08 C) Rs.10123.20 D) Rs.10123.22 E) Rs.10123.12

Solution: Amount = [25000 * (1 + 12/100)3]   = 25000 * 28/25 * 28/25 * 28/25   = Rs. 35123.20   C.I. = (35123.20 - 25000)   = Rs.10123.20   Answer: Rs.10123.20
Answer: C
If the quantity 2^2+ 2^4 + 2^6 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?  Choose the correct choice from the following answers:
A) 12
B) 9
C) 4
D) 2
E) 5

Solution: (a+b)(a-b) = a^2 - b^2   2^2+ 2^4 + 2^6 = 2^2 (1+2^2+2^4)   if the above expression is solved even then every term of the expression will remain a multiple of 2^2 which is out of parenthesis   hence, b must be a multiple of 2^2 i.e. 4   Answer: option 4
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 3 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following answers:
A) 70m  B) 16 m  C) 60 m  D) 80 m  E) 88 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 3= 
20 * 3 = 60
60 m.   Answer: 60 m
Answer: C
If (2x + 1) times (x + 4) is an odd integer, then x must be: Choose the correct choice from the following:
A) an odd integer B) an even integer C) a prime number D) a composite number E) a negative integer

Solution: Solution:   (2x + 1) times (x + 4) means (2x + 1)(x + 4)   (2x + 1)(x + 4) = 2x^2+9x+4   For 2x^2+9x+4 to be odd, 9x+4 must be odd since 2x^2 is always even.   So 9x must be odd, hence x must be odd.   Therefore x is an odd integer.   an odd integernswer: an odd integer
Answer: A
If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:	Select the correct option
A) 1	B) 5	C) 3	D) 2	E) 6

Solution: log10 5 + log10 (5x + 1) = log10 (x + 5) + 1   log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10   log10 [5 (5x + 1)] = log10 [10(x + 5)]   5(5x + 1) = 10(x + 5)   5x + 1 = 2x + 10   3x = 9=> X = 3   ANSWER 3
Answer: C
In an IT company 35% of employees are given Development Department and 40% of employees are given Testing Department and 20% are given both.What is the probability for an employee is given Development or testing department
Choices: A) 95% B) 85% C) 55% D) 5% E) none of these

Solution: (dUt)=d(n)+t(n)-dnt   =35+40-20   ANSWER:55%
Answer: C
Some amount out Rs.7000 was lent at 6% per annum and the remaining was lent at 4% per annum. If
the total simple interest from both the fractions in 5 years was Rs.1600, the sum lent of 6% per annum
was	Pick:
A) Rs. 2400 B) Rs. 2200 C) Rs. 2000 D) Rs. 1800 E) None of these

Solution: Explanation :   Total simple interest received , I = Rs.1600   Principal , p = 7000   period, n = 5 years   Rate of interest, r = ?   Simple Interest, I = pnr100=>1600=7000×5×r100=>r=1600×1007000×5=16035=327%   By the rule of alligation, we have   Rate of interest % from part1 Rate of interest % from part2   6 4   Net rate of interest %   32/7   32/7 - 4 =4/7 6 - 32/7 = 10/7   => Part1 : part2 = 4/7 : 10/7 = 4 : 10 = 2 : 5   Given that total amount = Rs.7000   The amount lent of 6% per annum (part1 amount) = 7000×27=Rs.2000   Answer : Option Rs. 2000
Answer: C
The average of marks obtained by 120 boys was 37. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?  Choose the correct option.
A) 100	B) 110	C) 120	D) 130	E) 140

Solution: Let the number of boys who passed = X.   Then, 39 x X + 15 x (120 - X) = 120 x 37   24X = 4440 - 1800   => X = 2640/24= 
2640/24 = 110
110.   Hence, the number of boys passed= 110.   ANSWER:110
Answer: B
The sum of three digits a number is 17. The sum of square of the digits is 109. If we substract 495 from the number, the number is reversed. Find the number.
Choose one.
A) 2,4,2 B) 8,3,6 C) 2,2,2 D) 3,3,4 E) 1,3,4

Solution: Let the number be abc.   Then a + b + c= 17 .....(1)   a2+b2+c2=109a2+b2+c2=109 .....(2)   100a+10b+c -495 = 100c+10b+a ......(3)   From 3, we get a - c = 5   So the possibilities for (a, c, b) are (6,1,10), (7,2,8), (8,3,6), (9,4,4)   From the above, (8,3,6) satisfies the condition.   Answer:8,3,6
Answer: B
John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam one years ago? Choose the correct choice from the following choices
A) 2  B) 4  C) 5  D) 8  E) 16

Solution: j= 3s   after 6 years   j +6 = 2(s+6)   j= 2s+6   2s +6 = 3s   s= 6   one years ago   s= 6-1= 
6-1 = 5
5   5 is the answer
Answer: C
Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
Choose the correct choice:
A) 5/18
B) 5/27
C) 7/36
D) 5/54
E) 7/108

Solution: The number of ways to select w, x, and y is:   6*6*6= 
  6*6*6 = 216
216   The number of ways to choose three different numbers from the set is 6C3=20.   There are six permutations for each group of three different numbers, but only one permutation satisfies w < x < y.   P(w < x < y) = 20/216 = 5/54   The answer is 5/54.
Answer: D
A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 4 a.m.?	Select the correct option
A) 23 Minutes B) 24 Minutes C) 25 Minutes D) 26 Minutes E) None of these

Solution: if the minute hand gains 2 minutes in 1 hour the from 3:30 p.m-4:00 p.m it gains 1 min   then from 4:00p.m-4:00 a.m =12*2= 
12*2 = 24
24 total=25   ANSWER:25 Minutes
Answer: C
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio R of students per class? Select the correct option
A) R=3  B) 4  C) 6  D) 8  E) 12

Solution: Another way to look at the problem...   Since the total is 120, RATIO * CLASSES = R*C = 120.....(i)   we are looking where ratio increases by 1 and # of classes decreases by 10 = (R+1)(C-10) = RC+C-10R-10=120....(ii)   (ii)-(i)....   C=10R+10 = 10(R+1).......   so # of classes has to be multiple of 10   AS RC=120.... 10(R+1)*R = 120...................R(R+1) = 12..   so 12 is a multiple of consecutive numbers ONLY 3 *4 fits in..... and R=3   R=3
Answer: A
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choose the most appropriate option.
A) 5.2 hrs
B) 2.9 hrs
C) 1.9 hrs
D) 7.5 hrs
E) 1.4 hrs

Solution: Net part filled in 1 hour = (1/3 - 1/5) = 2/15   The cistern will be filled in 15/2 hrs i.e., 7.5 hrs.   Answer:7.5 hrs
Answer: D
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 13 percent of revenues. The profits in 2009 were what percent of the profits in 2008?	Select:
A) 80%	B) 105%	C) 120%	D) 124.2%	E) 104%

Solution: x = profits   r= revenue   x/r = 0,1   x= 10   r=100   2009:   r=80   x/80 = 0,13 = 13/100   x= 80*13/100= 
80*13/100 = 52/5 = around 10.4
10.4   10.4/10= 1,04 = 104%, Answer 104%
Answer: E