MU-NLPC/Calc-aqua_rat huggingface dataset:
The speeds of three asteroids were compared. Asteroids X-13 and Y-14 were observed for identical durations, while asteroid Z-15 was observed for 2 seconds longer. During its period of observation, asteroid Y-14 traveled three times the distance X-13 traveled, and therefore Y-14 was found to be faster than X-13 by 1000 kilometers per second. Asteroid Z-15 had an identical speed as that of X-13, but because Z-15 was observed for a longer period, it traveled five times the distance X-13 traveled during X-13's inspection. Asteroid X-13 traveled how many kilometers during its observation? Select the correct option
A) 250  B) 1,600/3  C) 1,000  D) 1,500  E) 2,500

Solution: X13: (t, d, s)   Y14: (t, 3d, s+1000mi/hour)   Z15: (t+2 seconds, s, 5d)   d=?   Distance = Speed*Time   x13: d = s*t   x14: 3d = (s+1000)*t ===> 3d = ts+1000t   z15: 5d = s*(t+2t) ===> 5d = st+2st ===> 5d - 2st = st   3d 5  - 2= 
5  - 2 = 3
st   3d= 5d - 2st + 1000t   -2d = -2st + 1000t   2d = 2st - 1000t   d = st -500t   x13: d = s*t   st - 500t = s*t   s - 500 = s   -250 = s   I got to this point and couldn't go any further. This seems like a problem where I can set up individual d=r*t formulas and solve but it appears that's not the case. For future reference how would I know not to waste my time setting up this problem in the aforementioned way? Thanks!!!   The distance of Z15 is equal to five times the distance of X13 (we established that x13 is the baseline and thus, it's measurements are d, s, t)   S(T+2) = 5(S*T)What clues would I have to know to set up the equation in this fashion? Is it because I am better off setting two identical distances together?   ST+2S = 5ST   T+2 = 5T   2=4T   t= 1/2   We are looking for distance (d=s*t) so we need to solve for speed now that we have time.   Speed y14 - speed x13   Speed = d/t   3d/t - d/t = 1000 (remember, t is the same because both asteroids were observed for the same amount of time)   2d = 1000   2 = 500   d=s*t   d=500*(1/2)= 
500*(1/2) = 250
250   250NSWER: 250
Answer: A
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What
percentage of the total votes did the winning candidate got
Choices
A) 55% B) 56% C) 57% D) 58% E) None of these

Solution: Explanation:   Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   Answer: Option 57%
Answer: C
A train covered half of the distance between stations A and B at the speed of 48 km/hr, but then it had to stop for 15 min. To make up for the delay, it increased its speed by 53 m/sec and it arrived to station B on time. Find the distance between the two stations and the speed of the train after the stop.
Answers:
A) 206 B) 216 C) 226 D) 256 E) 246

Solution: First let us determine the speed of the train after the stop. The speed was increased by 53 m/sec =5⋅60⋅6031000 km/hr = 6 km/hr. Therefore, the new speed is 48+6= 
48+6 = 54
54 km/hr. If it took x hours to cover the first half of the distance, then it took x−1560=x−0.25 hr to cover the second part.   So the equation is: 48⋅x=54⋅(x−0.25)   48⋅x=54⋅x−54⋅0.25   48⋅x−54⋅x=−13.5   −6x=−13.5   x=2.25 h.   The whole distance is   2×48×2.25=216 km.   Answer is 216.
Answer: B
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?	Pick one:
A) 77 seconds
B) 66 seconds
C) 40 seconds
D) 55 seconds
E) 43 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer: 40 seconds
Answer: C
The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides
does the polygon have?	Choose the correct answer:
A) 4 sides	B) 5 sides	C) 6 sides	D) 7 sides	E) 8 sides

Solution: Sum of Interior angles of Polygon=180(n-2)   Sum of Exterior angles of Polygon=360   so 180(n-2)=2*360   by solving we get ans=6 sides   ANSWER:6 sides
Answer: C
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 16,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got five times as many votes as the other candidate, how many people have voted in each round?	Choose one:
A) 15,000
B) 25,000
C) 40,000
D) 48,000
E) 60,000

Solution: Let A be the first candidate and B be the second one.   Given x+16000 = 5(x-16000) => x = 24000   2x = 48000   IMO option 48,000.
Answer: D
Working together, John, David, and Roger require 2 1/4 hours to complete a certain task, if each of them works at his respective constant rate. If John alone can complete the task in 4 1/2 hours and David alone can complete the task in 9 hours, how many hours would it take Roger to complete the task, working alone? Select:
A) 2 1/3
B) 4 1/2
C) 6 3/4
D) 9
E) 12

Solution: (J+9+R)(9/4)=1   J+9+R= 4/9   (2/9 + 1/9 + R) = 4/9   R=1/9   9 hours   Answer: 9
Answer: D
Jimmy drove the first half of a 50-mile trip in x hours and the second half in y hours. Which of the following is equal to Jimmy’s average speed, in miles per hour, for the entire trip?
Choices.
A) 50/(x + y)
B) 100/(x + y)
C) 25/x + 25/y
D) 50/x + 50/y
E) 100/x + 100/y

Solution: Time taken by Jimmy to cover first half i.e 25 miles of a 50 mile trip = x   time taken by Jimmy to cover the second half i.e 25 miles of a 50 mile trip = y   Total time taken by Jimmy = x+y   Jimmy's average speed for the entire trip =total distance /total time   =50/(x+y)   50/(x + y)nswer: 50/(x + y)
Answer: A
The greatest number that exactly divided 105, 1001 and 2436 is :	Choose the correct answer
A) 3
B) 7
C) 11
D) 21
E) 24

Solution: Solution   H.C.F. of 2436 and 1001 is 7. also, H.C.F. of 105 and 7 is 7.   ∴ H.C.F. of 105, 1001 and 2436 is 7. Answer 7
Answer: B
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table?  Options.
A) 6727 B) 6887 C) 6728 D) 6725 E) 6525

Solution: :   CP = SP * (100/(100 + profit%))   = 8091(100/124) = Rs. 6525.   Answer: 6525
Answer: E
In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father?	Choose the correct choice from the following:
A) 27  B) 36  C) 28 years  D) 46 years  E) 91

Solution: Raj present age = 32 - 8= 
32 - 8 = 24
24.   After 4 years Raj's age is 28. and Raj's fathers age is 28 x 2= 56, and his present age is 52.   Two years ago, Raj's age is 22. and his mother's age is 22 x 2 = 44. His mother's present age = 46   Answer:28 years
Answer: C
Two trains, each 100 m long, moving in opposite directions, cross other in 4 sec. If one is moving twice as fast the other, then the speed of the faster train is? Choices.
A) 76 km/hr  B) 66 km/hr  C) 60 km/hr  D) 67 km/hr  E) 120 km/hr

Solution: Let the speed of the slower train be x m/sec.   Then, speed of the train = 2x m/sec.   Relative speed = ( x + 2x) = 3x m/sec.   (100 + 100)/4 = 3x => x = 50/3   So, speed of the faster train = 100/3 = 100/3 * 18/5= 
100/3 * 18/5 = 120
120 km/hr.   Answer:120 km/hr
Answer: E
The ratio of two numbers is 2 : 3 and their H.C.F. is 4. Their L.C.M. is Choose the most appropriate option:
A) 48 B) 24 C) 56 D) 27 E) 35

Solution: Explanation:   Let the numbers be 2x and 3x. Then, their H.C.F. = x. So, x = 4.   So, the numbers 8 and 12.   L.C.M. of 8 and 12 = 24.   Answer: Option 24
Answer: B
A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at $10.45 each, 2 at $12.05 each, 1 at $17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually? Choose the correct choice
A) 7%	B) 8%	C) 8.5%	D) 10%	E) 11%

Solution: Cost of kit = $57.50   If filters are purchased individually - $10.45*2 + $12.05*2 + $17.50 = $62.50   Amount saved = $62.50 - $57.50 = $5   Required %age 62.50 -  57.50= 
62.50 -  57.50 = 5
$5   Required %age= ($5/$62.50)*100 = 8%   So, the correct answer is 8%.( 5/ 62.50)*100= 
( 5/ 62.50)*100 = 8
8%   So, the correct answer is 8%.
Answer: B
The sector of a circle has radius of 14 cm and its perimeter 50 cm. Find its central angel? Options:
A) 180o
B) 225o
C) 270o
D) 150o
E) 90o

Solution: Lte central angle = x   Perimeter of the sector = length of the arc + 2(radius)   50= (x/360 * 2 * 22/7 * 14) + 2(14)   50 = 88x/360 + 28   88x/360 = 22   88x = 7920   x = 90   Answer: 90o
Answer: E
Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings
Choose the correct choice from the following options:
A) 50
B) 100
C) 20
D) 25
E) 40

Solution: Let the original income=Rs.100 . Then , expenditure=Rs.75 and savings =Rs.25   New income =Rs.120 , New expenditure =   Rs.((110/100)*75)=Rs.165/2   New savings = Rs.(120-(165/2)) = Rs.75/2   Increase in savings = Rs.((75/2)-25)=Rs.25/2   Increase %= ((25/2)*(1/25)*100)= 
((25/2)*(1/25)*100) = 50
50%.   50NSWER 50
Answer: A
In a simultaneous throw of 2 dice what is the probability of getting a total of 4? Options.
A) 1/4 B) 1/12 C) 2/11 D) 3/13 E) 1/5

Solution: n(S) = 6*6= 
6*6 = 36
36   E= {(1,3),(3,1),(2,2)}   Probability = 3/36 = 1/12   Answer is 1/12
Answer: B
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares? Choose the correct option.
A) 23277
B) 23922
C) 22877
D) 15000
E) 28322

Solution: Explanation:   The ratio of their profits A:B = 8:12 = 2:3   Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000   Answer: 15000
Answer: D
Three houses of the same type were advertised to be let in a locality. four men made separate applications for a house. What is the probability that each of them applied for the same house.
Choose the correct choice from the following options:
A) 1/4
B) 1/6
C) 1/8
D) 1/9
E) 3/256

Solution: Since each of the house has same probability of getting selected so for each men proability of selecting a house out of 3 houses 1/3   Let us consider case where all 4 men choose House no 1   So for First men it will be 1/4,second men 1/4 , third men also 1/4 and fourth man 1/4   So probability of selecting house no 1 is 1/4*1/4*1/4*1/4= 1/256   And since there are 3 such house so probability that each men select the same house is 3*1/256   Ans is 3/256
Answer: E
Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?	Choose the correct choice from the following answers:
A) 16/81
B) 8/27
C) 2/3
D) 19/27
E) 61/125

Solution: At the end of each day we will have 4/5 alive. So after 3 days we will have (4/5)^3 people alive. Therefore, fraction of dead people will be 1-(4/5)^3=61/125.   The correct answer is 61/125.
Answer: E
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 2x3 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
Choose the correct choice from the following answers:
A) 92
B) 90
C) 82
D) 78
E) 100

Solution: The question say:A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters)   In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters.   A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters).   The question doesn't specify whether this tank should have a closed top or an open top. (The real GMAT is good about specifying things like that.) Here, we are going to assume a closed top, only because if the top is open, we don't use enough metal --- we get an answer smaller than any of the answer choices. A closed-top cube, a full cube, has 6 sides, each of which is (10 meters) x (10 meters). That's a total surface area of 600 sq m.   The question tells us:he has only 2x3 meter sheets of metal that can be cut.   Each sheet has an area of 6 sq m. How many of these need to fill up 600 sq m?  600/6= 
 600/6 = 100
100. He needs 100 sheets.   Answer=100
Answer: E
If 8 < x < 9, and x^2 = (10 – y)(10 + y), which of the following is a possible value for y? Choose the correct choice from the following options:
A) –7  B) –6  C) 3  D) 4  E) 5

Solution: Given : 8<x<9=> 64<x^2<81   Given X^2 = 100-y^2   Therefore 64<100-y^2<81   -36<-y^2<-19 = 19<y^2<36   Only (5) y=5 => Y^2 = 25 satisfies the above equation.
Answer: E
If 2x + 3y = 26; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?	Choose the correct option
A) 18  B) 32  C) 26  D) 22  E) None of these

Solution: On solving equation we get   x = 7, y = 4, z = 11   Answer 22
Answer: D
W=(429)^2 * 237 * (1243)^3 is thrice of ?	Choose the correct answer
A) 33605 * 31960 * (1243)^2 B) 33654 * 538219 * (1243)^2 C) 33891 * 533247 * (1243)^2 D) 34122 * 532004 * (1243)^2 E) 34606 * 534572 * (1243)^2

Solution: W=(429)^2*237*(1243)^3 is an odd number.   Among answer choices only C is an odd number, (so thrice C also will be an odd number).   Answer: 33891 * 533247 * (1243)^2.
Answer: C
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?  Choose one.
A) 40	B) 50	C) 60	D) 70	E) 80

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer: Option 50
Answer: B
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively. Choose the correct answer.
A) 200,360,160 B) 200,350,150 C) 190,400,500 D) 190,290,390 E) 200,300,400

Solution: let ratio be x.   Hence no. of coins be 5x ,9x , 4x respectively   Now given total amount = Rs.206   (.50)(5x) + (.25)(9x) + (.10)(4x) = 206   we get x = 40   No. of 50p coins = 200   No. of 25p coins = 360   No. of 10p coins = 160   answer :200,360,160
Answer: A
1,5,13,25,__ Select
A) 26
B) 30
C) 31
D) 41
E) 43

Solution: Series increased by   1   1 + (4*1) = 1 +4= 
1 +4 = 5
5   5 + (4*2)= 5 +8= 
5 +8 = 13
13   13+ (4*3)= 13+12= 
13+12 = 25
25   25+ (4*4)= 25+16= 
25+16 = 41
41   ANSWER:41
Answer: D
The digital sum of a number is the sum of its digits. For how many of the positive integers 24-130 inclusive is the digital sum a multiple of 7?
Select.
A) 7 B) 8 C) 14 D) 16 E) 20

Solution: is there other way than just listing?   25   34   43   52   59   61   68   70   77   86   95   106   115   124   14 ways..   14
Answer: C
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 300-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choose the correct choice.
A) 1,108
B) 2,500
C) 2,108
D) 2,124
E) 2,256

Solution: We have $200 and we have to maximize the number of hot dogs that we can buy with this amount.   Let's try to find out what is the maximum number of hot dogs that we can buy for a lesser amount of money, which in this case is 300 for $22.95.   For the sake of calculation, let's take $23. 23x8 gives 184 ,i.e. a total of 300x8 = 2400 hot dogs . We are left with ~$16. Similarly, let's use $3 for calculation. We can buy 5 20-pack hot dogs (3x5), a total of 20x5 = 100 hot dogs. So we have 2500 hot dogs.   2108 looks far-fetched (since we are not likely to be left with > $1.55). Hence, (b) 2500 (ANSWER 2,500)
Answer: B
What will be the cost of building a fence around a square plot with area equal to 49 sq ft, if the price per foot of building the fence is Rs. 58? Answers:
A) 3944 B) 2287 C) 1624 D) 2668 E) 1298

Solution: Let the side of the square plot be a ft.   a2 = 49=> a = 7   Length of the fence = Perimeter of the plot = 4a = 28 ft.   Cost of building the fence = 28 * 58 = Rs. 1624.   Answer:1624
Answer: C
A pump can fill a tank with water in 6 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ? Choose the correct choice from the following answers
A) 15hr 10min
B) 16hr 20min
C) 17hr 30min
D) 42hr
E) 14hr 25min

Solution: Work done by the leak in 1 hour = 1/6 - 1/7 = 1/42   Leak will empty the tank in 42 hrs   Answer is 42hr
Answer: D
The speed of a boat in still water is 60kmph and the speed of the current is 17kmph. Find the speed downstream and upstream?	Choose one:
A) 77,43 kmph	B) 80,80 kmph	C) 80,42 kmph	D) 80,40 kmph	E) 83,40 kmph

Solution: Speed downstream = 60 + 17= 
60 + 17 = 77
77 kmph   Speed upstream= 60 - 17= 
60 - 17 = 43
43 kmph.77,43 kmphnswer:77,43 kmph
Answer: A
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {18} + {16}?	Choose the correct choice from the following answers: A) 23 B) 20 C) 11 D) 19 E) 2

Solution: Soln:   {18} + {16} = 18*{16} +{16} = 19*{16}   ANSWER:19
Answer: D
A man can row with a speed of 15 kmph in still water. If the stream flows at 3 kmph, then the speed in downstream is?  Choices:  A) 33  B) 77  C) 20  D) 18  E) 71

Solution: M = 15   S = 3   18S = 15 + 3= 
15 + 3 = 18
18   Answer: 18
Answer: D
Can you find the smallest non fractional number such that
If the number gets divided by 6 , we get the remainder of 1;
If the number gets divided by 7, we get the remainder of 2
If the number gets divided by 8 , we get the remainder of 3;
If the number gets divided by 9 , we get the remainder of 4.	Pick one
A) 1006	B) 1230	C) 1010	D) 1200	E) 1300

Solution: A.1006   As we know LCM of the numbers 6 7 8 & 9 is 1008   So if i divide 1008 by any of the four number , it gives remainder as 0.   Now to get reminder as desired, is should be 2 short of 1006. (3-1,4-2,5-3,6-4 )   1006ns:option 1006
Answer: A
A sum is invested at compounded interest payable annually. The interest in the first two successive years was Rs. 400 and Rs. 420. The sum is  Choices:
A) Rs. 8000
B) Rs. 8200
C) Rs.7500
D) Rs. 8500
E) Rs. 8600

Solution: Explanation:   his means that, simple Interest on Rs.400 for 1 year = 420 - 400= 
420 - 400 = 20
20   Rate= (100 ×SI)/PT = (100 × 20)/(400×1) = 5%   Rs.400 is the interest on the sum for 1st year   Hence, sum = (100 × SI)/RT = (100 × 400)/(5 × 1) = Rs. 8000   Rs. 8000nswer: Option Rs. 8000
Answer: A
A train 330 m long passed a pole in 11 sec. How long will it take to pass a platform 760 m long? Choose the correct choice from the following
A) 76 sec
B) 89 sec
C) 87 sec
D) 35 sec
E) 36 sec

Solution: Speed = 330/11= 
330/11 = 30
30 m/sec.   Required time= (330 + 760)/30   = 36 sec.   Answer:36 sec
Answer: E
7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choose the correct option
A) 540	B) 560	C) 670	D) 650	E) 700

Solution: Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively.   ∴ No. of books distributed in 1st day   = 7×5x+5×4x+8×2x=71x   No. of books distributed in 1Ind day   =7×5x+3×4x+5×2x=57x   And no. of books distributed in IIIrd day   =4×5x+5×4x+3×2x=46x   71x + 57x + 46x = 2000, x = 2000/174   57x=2000/174×57=650   650
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe boundary ofthe 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 option:
A) 13400 m
B) 147600 m
C) 153600 m
D) 187500 m
E) 196700 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
The cost price of 8 articles is equal to the selling price of 5 articles. What is the profit percent? Choose the correct option:  A) 30%  B) 40%  C) 50%  D) 60%  E) 70%

Solution: 5*SP = 8*CP   SP = 1.6*CP   The profit percent is 60%.   The answer is 60%.
Answer: D
Efrida and Frazer who live 10 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is three miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home? Choose the correct choice from the following choices.
A) 6  B) 7  C) 8  D) 10  E) 11

Solution: It's a simple geometry problem. Look at the diagram below:   Answer: 7.
Answer: B
Goldenrod and No Hope are in a horse race with 6 contestants. How many different L arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?  Choose the correct choice from the following answers:
A) 720
B) 360
C) 120
D) 24
E) 21

Solution: no hope finishing before goldenrod= 1/2 of the times   therefore the different L arrangements are 1/2* 6! = 360 = 360
Answer: B
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.  Choose the correct choice from the following answers
A) 3
B) 5
C) 7
D) 12
E) 15

Solution: Sol.   Let the number be x.   Then, x+17 = 60/x   ⇔ x2 + 17x - 60 = 0   ⇔ (x+20)(x-3) = 0   ⇔ x = 3.   3nswer 3
Answer: A
A man can row 8 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choose one:
A) 3.58
B) 3.68
C) 3.78
D) 3.88
E) 3.98

Solution: M = 8   S = 1.2   DS = 8 + 1.2= 
8 + 1.2 = 9.2
9.2   US= 8- 1.2= 
8- 1.2 = 6.8
6.8   x/9.2 + x/6.8= 1   x = 3.68.Answer: 3.68
Answer: B
15 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? Options:
A) 18	B) 86	C) 16	D) 10	E) 19

Solution: 86inders 86ooks Days   15 1400 21   x 1600 20   x/15 = (1600/1400) * (21/20) => x   = 18   Answer: 86
Answer: B
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.75 per kg?
Choose the correct answer
A) 5:8  B) 3:1  C) 3:7  D) 9:5  E) 9:8

Solution: (96-75)/(75-68)=21/7= 
21/7 = 3
3/1   ANSWER:3:1
Answer: B
The difference between the value of a number increased by 25% and the value of the original number decreased by 30% is 22. What is the original number?
Select the correct option
A) 40 B) 50 C) 65 D) 70 E) 90

Solution: Let the original # be x then 1.25x−0.7x=22 --> x=40   40nswer: 40.
Answer: A
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?  Choose the correct choice from the following answers
A) 4.5 hrs	B) 5 hrs	C) 6.5 hrs	D) 7.2 hrs	E) 7 hrs

Solution: Net part filled in 1 hour = (1/4 - 1/9) = 5/36   The cistern will be filled in 36/5 hrs i.e., 7.2 hrs.   ANSWER:7.2 hrs
Answer: D