MU-NLPC/Calc-aqua_rat huggingface dataset:
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct choice from the following choices:
A) 288
B) 266
C) 500
D) 277
E) 121

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer: 500
Answer: C
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Answers: A) 10 sec B) 11 sec C) 77 sec D) 99 sec E) 67 sec

Solution: RS = 60 -40= 
60 -40 = 20
20 * 5/18= 100/18   T = 50   D = 50 * 100/18 = 2500/9   RS = 60 + 40= 
60 + 40 = 100
100 * 5/18   T= 2500/9 * 18/500= 
2500/9 * 18/500 = 10
10 sec   10 secnswer: 10 sec
Answer: A
The ratio of 4 seconds to 8 hours	Choose the correct option:	A) 1:80	B) 1:6000	C) 1:600	D) 1:7200	E) 1:500

Solution: 1 hour =3600 sec   then 8 hours =8*3600= 
8*3600 = 28_800
28800   so ,4:28800=1:7200   ANSWER:1:7200
Answer: D
At the end of the first quarter, the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 55 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
Pick one
A) 24% B) 25% C) 30% D) 33% E) 40%

Solution: 24%nother method is to use the formula for 2 successive percentage changes:   Total = a + b + ab/100   55 = 25 + b + 25b/100   b = 24   24%nswer (24%)
Answer: A
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Options.
A) 3/19
B) 3/31
C) 9/42
D) 4/49
E) 4/51

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: C
The ratio of cost price to the market price of an article is 4: 5. What is the profit percentage if the ratio of the profit percentage on selling the article to the discount allowed on it is 5: 4? Answers:	A) 10%	B) 12%	C) 12.5%	D) 15%	E) 16%

Solution: lets assume mp=100 and cp=80   p/d=5/4   therefore d= p*(4/5)   now cp + profit = mp- discount= sp   80+ p(80/100)=100-(p*(4/5)*(100/100))   solving for p we get p=12.5%   ANSWER:12.5%
Answer: C
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?	Select the correct option.
A) 78  B) 66  C) 20  D) 26  E) 29

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer20
Answer: C
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?	Choose the correct choice from the following options:
A) 5
B) 8
C) 9
D) 3
E) 2

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5nswer:5
Answer: A
A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger?	Options:	A) 46	B) 36	C) 18	D) 22	E) 23

Solution: Explanation:   Distance to be covered = 240+ 120= 
240+ 120 = 360
360 m   Relative speed= 36 km/hr = 36×10/36 = 10 m/s   Time = distance/speed = 360/10= 
360/10 = 36
36 seconds   Answer: Option 36
Answer: B
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 one
A) 3  B) 8  C) 9  D) 4  E) 2

Solution: 30 --- 3 DS = 10   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (10 + 6)/2= 
(10 + 6)/2 = 8
8   Answer: 8
Answer: B
80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choose the correct choice from the following:
A) 35	B) 32	C) 36	D) 40	E) 52

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 80= 
7/16 * 80 = 35
35   35NSWER:35
Answer: A
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choose the correct choice from the following choices.
A) 22 B) 10 C) 28 D) 27 E) 19

Solution: Explanation:   4/12 + x/15 = 1   x = 10   Answer:10
Answer: B
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in e hours. In terms of x and e, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails? Choose the correct choice from the following options.
A) x/(x+y)	B) y/(x+y)	C) xy/(x+y)	D) xy/(x-y)	E) xe/(e-x)

Solution: Pick some smart numbers for x and e.   Say x=1 hour and e=2 hours (notice that e must be greater than x, since the time for machine A to do the job, which is e hours, must be more than the time for machines A and B working together to do the same job, which is x hours).   In this case, the time needed for machine B to do the job must also be 2 hours:   1/2+1/2= 
  1/2+1/2 = 1
1.   Now, plug x=1 and e=2 in the options to see which one yields 2. Only option E fits.   Answer: xe/(e-x).
Answer: E
A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 56 km downstream Pick.
A) 2 hours  B) 4 hours  C) 5 hours  D) 6 hours  E) 7 hours

Solution: Explanation:   Speed of the boat in still water = 24 km/hr   speed of the stream = 4 km/hr   Speed downstream = (22+5) = 28 km/hr   Distance travelled downstream = 56 km   Time taken = distance/speed = 56/28= 
56/28 = 2
2 hours   2 hoursnswer: Option 2 hours
Answer: A
A, B, C together started a business. A invested Rs.1000 for 5 months B invested Rs.1500 for 6 months and C Rs.2000 for 3 months. If they get a total profit of Rs.3000. Find the share of A?  Choose the correct choice from the following choices:
A) 750
B) 3000
C) 2777
D) 2999
E) 17212

Solution: 2*5:3*6:4*3   10 : 18 : 12 => 5 : 9 : 6   5/20 * 3000= 
5/20 * 3000 = 750
750   750nswer:750
Answer: A
Rs.320 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? Choose the correct answer.
A) 388 B) 266 C) 120 D) 240 E) 267

Solution: 4x 5x 6x   100 50 25   400x + 250x + 150x = 32000   x = 40   6x = 240   Answer: 240
Answer: D
Tough and Tricky questions: Work/Rate Problems.
If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 15 workers to do this same job? Answers:
A) 14
B) 11
C) 7
D) 7/3
E) 9/7

Solution: 70 Workers = 3 hours then,   1 Worker = 3*70 Hours   30 Workers = (3*70) /(15)= 
(3*70) /(15) = 14
14 Answer. 14
Answer: A
Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 40 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?	Choose the correct choice from the following choices.
A) 110	B) 112	C) 116	D) 118	E) 122

Solution: This question can be easily solved by looking at the options.   Assuming number of cards to be x   We need to find the option for which (1/4)*(2x/5) is an integer   Or x/10 is an integer.   Hence we need the lowest multiple of 10 from the given options.   Let us start from the lowest value:   Option A: 110. This is not a multiple of 10   Option B: 112 = 10*11. This is a multiple of 10. Hence the correct answer.   Correct Option: 110
Answer: A
A train passes a man standing on the platform. If the train is 130 meters long and its speed is 72 kmph, how much time it took in doing so?
Choose the correct choice from the following choices.
A) 6 Â½ sec B) 6 Â½ sec C) 9 Â½ sec D) 8 Â½ sec E) 7 Â½ sec

Solution: 6 Â½ sec   6 Â½ sec   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 130/20 = 6 Â½ sec
Answer: B
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was?
Options.
A) 10000  B) 12000  C) 13000  D) 14000  E) 15000

Solution: 100 % - 10 % = 90 %   54%-36%=18%   18% ------> 1800 ( 18 × 100   54 -36= 
  54 -36 = 18
18%   18% ------> 1800 ( 18 × 100= 1800)   100% -------> 10000 votes (100 × 100 = 10000)   10000)
Answer: A
John had a stock of 1000 books in his bookshop. He sold 20 on Monday, 120 on Tuesday, 200 on Wednesday,250 on Thursday and 300 on Friday. What percentage of the books were not sold? Select the correct option:	A) 68%	B) 74%	C) 76%	D) 62%	E) 89%

Solution: Let N be the total number of books sold. Hence   N = 20 + 120 + 200 + 250+ 300= 
20 + 120 + 200 + 250+ 300 = 890
890   Let M be the books NOT sold   M= 1000 - N = 1200 - 890 = 798   Percentage   Books not sold / total number of books = 890/1000= 
890/1000 = 89/100 = around 0.89
0.89= 89%   correct answer 89%
Answer: E
There are cats got together and decided to kill the mice of 999919. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Pick one.
A) 941,1009 B) 991,1001 C) 991,1009 D) 791,1009 E) 931,1009

Solution: 999919 can be written as 1000000 – 81   = 10002 – 92 ie of the form a2-b2=(a+b)(a-b)   =(1000+9)*(1000-9)   = (1009)*(991)   Given that number of cats is less than number if mice.   So number of cats is 991 and number of mice were 1009   Answer 991,1009
Answer: C
In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes.  Choose the correct choice from the following answers.
A) 16800
B) 15800
C) 16700
D) 15700
E) 15000

Solution: Explanation:   Let the total number of votes enrolled are x.   Number of votes cast = 75% of x   Valid votes = 98% of 75% of x   Now, as 9261 is the 75% of valid casted votes so,   75% of 98% of 75% of x = 9261 [imporant]   =>75Ã—98Ã—75Ã—x/100Ã—100Ã—100=9261   =>x=16800   16800NSWER IS 16800
Answer: A
Two trains which have lengths of 150 m are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?	Choose the correct choice from the following answers.
A) 7.6 B) 7.1 C) 6.8 D) 7.2 E) 6.4

Solution: 7.2 = 150m + 150m = 300m * 1/1000 150  + 150= 
150  + 150 = 300
300m * 1/1000 = 0.3 kms   RS 300  * 1/1000= 
300  * 1/1000 = 3/10 = around 0.3
0.3 kms   RS= 70 + 80= 
70 + 80 = 150
150 kmph   T= (0.3/150) * 3600= 
(0.3/150) * 3600 = 7.2
7.2 sec   ANSWER:7.2
Answer: D
In the parking lot there are 38 vehicles, 21 of them are buses, and the rest are cars. The color of 23 vehicles is red, of which 15 are buses. How many cars can be found in the parking lot which are not colored red? Answers: A) 7 B) 8 C) 9 D) 10 E) 11

Solution: The number of cars is 38-21= 
38-21 = 17
17.   The number of red cars is   23-15= 
  23-15 = 8
8.   The number of cars which are not red is  17-8= 
 17-8 = 9
9.   The answer is 9.
Answer: C
A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?	Choose the most appropriate option
A) 900  B) 906  C) 988  D) 917  E) 902

Solution: X * 4/5 * 80/100 = 576   X = 14400/16= 
14400/16 = 900
900   900nswer: 900
Answer: A
On a certain plane, 2/5 of the passengers speak Hindi and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?  Choose the correct answer:
A) 12
B) 15
C) 60
D) 74
E) 80

Solution: Assume the total members = x   Hindi = .4x   Hebrew = .75x   Hindi + Hebrew = 1.15x, but this is not possible hence 15 people speak both languages.   Only Hindi= .25x, Only Hebrew = .6x, both = .15x   Since these are all people, all of these should be whole numbers.   Checking the options:   A. 12. Only Hebrew = 12*0.6= 
12*0.6 = 7.2
7.2 We do not get the people as whole numbers. INCORRECT   B. 15. Only Hindi= 0.25*15 Again we do not get the people as whole numbers. INCORRECT   C. 60 Only Hindi= .25*60= 
.25*60 = 15
15, Only Hebrew= .6*60= 
.6*60 = 36
36, both= .15*60= 
.15*60 = 9
9. We have the people as whole numbers. CORRECT   D.74   E. 80   Since we have to find the lowest number, no need to calculate for the rest of the options.   60orrect Option: 60
Answer: C
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?  Choose the correct choice from the following choices:
A) 33  B) 38  C) 15  D) 36  E) 81

Solution: Explanation:   P.W = 2562-122 =Rs.2440   \inline \fn_jvn Rate=\frac{100\times 122}{2440\times \frac{1}{3}}   =15%   Answer: 15) 15%
Answer: C
In a particular 100 meter race, 4 athletes are participating that are numbered 1-4. In how many ways can athlete #4 finish ahead of #2 provided there's no tie among the athletes? Choose the correct choice from the following answers:
A) 8	B) 12	C) 16	D) 20	E) 24

Solution: The total number of ways for the athletes to finish is 4! = 24.   #4 will be ahead of #2 in exactly half of these possibilities.   24/2= 
24/2 = 12
12   The answer is 12.
Answer: B
There are 4 more women than there are men on a local co-ed softball team. If there are a total of 20 players on the team, what is the ratio of men to women? Choose the correct choice:
A) 8/12
B) 6/16
C) 4/16
D) 6/10
E) 4/10

Solution: w = m+4   w+m = 20   m+4+m = 20   2m = 16   m = 8   w = 12   ratio:8:12   8/12ns: 8/12
Answer: A
How much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches?  Choose one:  A) 50%  B) 87%  C) 100%  D) 187%  E) 200%

Solution: Let's just look at the dimensions (no calculation needed).   With dimension 11 the same, the other dimension 13 is twice 6.5   Then the area will be double which means 100% greater.   The answer is 100%.
Answer: C
Sudhir started a business with Rs.20,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be Choose the correct answer.
A) 3:2
B) 2:3
C) 4:3
D) 3:4
E) 1:1

Solution: 20000*12:60000*(12-8)   =240000 :240000   =1:1   ANSW1:1R:1:1
Answer: E
The amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?	Choose the correct choice from the following answers
A) 25 hours B) 30 hours C) 20 hours D) 26 hours E) 32 hours

Solution: Let the persons be A, B, C.   Hours worked:   A = 4*120/12= 
4*120/12 = 40
40 hours   B= 3*120/12= 
3*120/12 = 30
30 hours   C= 5*120/12= 
5*120/12 = 50
50 hours   C is the hardest worker and B worked for the least number of hours. So the difference is  50-30= 
 50-30 = 20
20 hours.   Answer : 20 hours
Answer: C
Certain stocks in January were 10% less than they were in February and 20% greater than they were in March. What was the percentage decrease in the stocks from February to March?	Choose the correct option:
A) 5%	B) 10%	C) 20%	D) 25%	E) 50%

Solution: Let J,F,M be the values of the stock in Jan,Feb and March.   Thus, per the question, J = 0.9F = 1.2M ----> M =0.75F   Thus the % decrease from F to M = (F-M)/(F) *100 = (F-0.75F)/F * 100 = 0.25*100= 
0.25*100 = 25
25 %, 25% is the correct answer.
Answer: D
If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.  Choose the correct choice from the following choices.
A) 8 km
B) 6 km
C) 12 km
D) 9 km
E) 7 km

Solution: Sol. Let the required distance be x km   Difference in the time taken at two speeds=1 min =1/2 hr   Hence x/5-x/6=1/5<=>6x-5x=6   x=6   Hence, the required distance is 6 km   Ans:6 km
Answer: B
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 14 months respectively. What was the ratio of their investments?
Choose the correct option.
A) 10:12:14  B) 12:24:28  C) 20:22:12  D) 20:49:32  E) None of these

Solution: Explanation :   Ratio in which A,B and C shared the profit = 5 : 7 : 8   Assume that the ratio of their investment = a:b:c   Then 14a : 8b : 14c = 5 : 7 : 8   Good to go, we got the equation. Now it's a matter of time to find a, b and c   14a/8b = 5/7   => 98a = 40b   => b = 98a/40 = 49a/20 ---(1)   14a/14c =5/8   => a/c =5/8   =>8a = 5c   => c = 8a/5 ---(2)   a : b : c = a : 49a/20 : 8a/5 = 1 : 49/20 : 8/5 = 20 : 49 : 32. Answer : Option 20:49:32
Answer: D
a father is 5 times as faster as son in doing a work. Father completes a particular work in 40 days before son.If both of them work together in how many days can they complete the work?  Pick
A) 8.33days B) 9.33days C) 10.33days D) 7.33days E) 6.33days

Solution: f=5*s   f(t-40)=w=s*t   5*s*(t-40)=s*t   5t-t=200   t=50   father takes 10 day   son takes 50 days   together=50/6=8.33days   8.33daysNSWER:8.33days
Answer: A
The radius of a sphere is increased by 10%. The surface area increases by? Select the correct option:	A) 21%	B) 31%	C) 41%	D) 51%	E) none of these

Solution: Since 4 x pi x radius x radius = surface area.   Therefore, net % change in area   = ( x + y + xy/100) %   = [10 + 10 + (10 x 10)/100]% or 21%.   21%NSWER:21%
Answer: A
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Select the correct option.
A) 20 B) 55/4 C) 25 D) 14 E) 13

Solution: After passing the hiker the cyclist travels for 5 minutes at a rate of 15 miles/hour.   In those 5 mins the cyclist travels a distance of 5/4 miles.   In those 5 mins the hiker travels a distance of 1/3 miles.   So the hiker still has to cover 11/12 miles to meet the waiting cyclist.   The hiker will need 55/4 mins to cover the remaining 11/12 miles.   So the answer is 55/4.
Answer: B
Two pipes P and Q can fill a cistern in 12 and 17 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Select:
A) 11 1/2 min
B) 11 1/4 min
C) 12 3/4 min
D) 11 1/5 min
E) 11 7/4 min

Solution: 3/12 + x/17 = 1   x= 12 3/4   Answer: 12 3/4 min
Answer: C
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 930, C will receive  Choose one
A) 233
B) 180
C) 900
D) 287
E) 271

Solution: Explanation:   Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .   A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.   Hence, C's share (930 * 6/31) = Rs, 180.   Answer: 180) Rs.180
Answer: B
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers? Choose the correct answer:
A) 60,88	B) 60,86	C) 60,82	D) 60,84	E) 60,83

Solution: (5x-25):(7x-25)   = 35:59   x = 12   =>60,84   Answer: 60,84
Answer: D
Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?	Choose one.
A) 77 B) 66 C) 80 D) 99 E) 61

Solution: Let the total amount be Rs.P   Let shares of A and B be Rs.X and Rs.Y respectively.   Given, C's share was Rs.14.   X + Y + 14 = P --- (1)   From the given data, X = P/2 - 4 --- (2)   Remaining amount = P - (P/2 - 4) = P/2 + 4   Y = 1/2(P/2 + 4) + 8   => P/4 + 10 --- (3)   From (1), (2) and (3)   P/2 - 4 + P/4 + 10 + 14 = P   => 3P/4 + 20 = P   => P - 3P/4 = 20   => P/4 = 20 => P = Rs.80   Answer:80
Answer: C
A student chose a number, multiplied it by 5, then subtracted 138 from the result and got 102. What was the number he chose? Choose the correct choice from the following
A) 48	B) 120	C) 130	D) 140	E) 150

Solution: Solution:   Let xx be the number he chose, then   5⋅x−138=102   5x=240   x=48   48nswer 48
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Options:
A) 3 kmph
B) 1.5 kmph
C) 13 kmph
D) 6.5 kmph
E) 7:3kmph

Solution: Explanation:   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: Option 1.5 kmph
Answer: B
Let S be the set of values which can be written as the sum of 5 consecutive perfect squares.
What is the smallest element of S which is divisible by 17?
Choose the correct choice from the following answers:
A) 255 B) 355 C) 522 D) 355 E) 664

Solution: Each element of S can be written in the form   (x- 2)2 + (x - 1)2 + x2 + (x + 1)2 + (x + 2)2 = x2 + 2x2 + 2 + 2x2 + 8   = 5x2 + 10   = 5(x2 + 2)   where x is some positive integer with x 3. By iterating over values of x, we observe that when   x = 7, x2 + 2 = 51 = 3 * 17; no smaller value of x exists which satisfies the problem statement.   Hence, the solution is 5(x2 + 2) = 5 *51= 
5 *51 = 255
255   correct answer 255
Answer: A
Joe went on a diet 4 months ago when he weighed 212 pounds. If he now weighs 188 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 160 pounds?
Answers.
A) 3 B) 3.5 C) 4 D) 4.5 E) 5

Solution: 212 - 188= 
212 - 188 = 24
24 pounds lost in 4 months    24/4= 
 24/4 = 6
6, so Joe is losing weight at a rate of 6 pounds per month.   ...in approximately how many months will he weigh 160 pounds?   A simple approach is to just list the weights.   Now: 188 lbs   In 1 month: 182 lbs   In 2 months: 176 lbs   In 3 months: 170 lbs   In 4 months: 164 lbs   In 5 months: 158 lbs   Since 160 pounds is halfway between 164 and 158, the correct answer must be 4.5 months.   Answer: 4.5
Answer: D
At a recent small town election for mayor a total of 975 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?	Select
A) 134	B) 178	C) 198	D) 166	E) 194

Solution: The number of votes the winning candidate received was   975 + 53 + 79 + 105	/4= 303.   The second received 303 – 53 = 247,   The fourth place received 303 – 105 = 198.   198
Answer: C
Find the value of x from the below equation? : x^2-16 = 0  Choose the correct choice from the following choices:
A) 8
B) 16
C) -4
D) 1
E) -8

Solution: a = 1, b = 0, c = -16   x1,2 = (0 Â± âˆš(0^2 - 4Ã—1Ã—-16)) / (2Ã—1) = (0Â± âˆš(64)) / 2 = (0 Â± 8) / 2   x1 = (0 + 8)/2 = 8/2= 
8/2 = 4
4   x2= (0-8)/2 = -8/2 = -4   -4
Answer: C
The compounded ratio of (2 : 3), (6: 11) and (11 :2) is :
Answers:	A) 1:2	B) 5:9	C) 2:1	D) 11:24	E) None

Solution: Answer: Option 2:1   2/3 : 6/11 : 11/2 = 2:1
Answer: C
Excluding stoppages, the speed of a bus is 90 km/hr and including stoppages, it is 84 km/hr. For how many minutes does the bus stop per hour?	Choose the correct choice from the following options:  A) 18 min  B) 4 min  C) 8 min  D) 6 min  E) 5 min

Solution: Due to stoppages, it covers 6 km less.   Time taken to cover 6 km = 6/90 * 60= 
6/90 * 60 = 4
4 min.   Answer:4 min
Answer: B