MU-NLPC/Calc-aqua_rat huggingface dataset:
X is three times as fast as Y and working together, they can complete a work in 20 days. In how many days can Y alone complete the work?  Options:
A) 11 days  B) 80 days  C) 13 days  D) 15 days  E) 19 days

Solution: X = 3Y   X + Y = 3Y + Y = 4Y   These 4Y people together can do the work in 20 days, which means Y can alone do the work in  4*20= 
 4*20 = 80
80 days.   Answer : 80 days
Answer: B
Find the area of circle whose radius is 9m?  Options:
A) 138 B) 154 C) 254.6 D) 280 E) 371

Solution: 22/7 * 9 * 9   = 254.6   Answer:254.6
Answer: C
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 63, what is the total amount?
Select:
A) 115  B) 273  C) 117  D) 118  E) 119

Solution: x:y:z = 100:45:50   20:9:10   9 --- 63   39 --- ? => 273   ANSWER:273
Answer: B
The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries
Choices: A) 20:33:60 B) 21:33:60 C) 22:33:60 D) 23:33:60 E) None of these

Solution: Explanation:   Let A salary be 2k   B salary be 3k and C salary be 5k   A's new salary = 115/100∗2k=23/10k   B's new salary = 110/100∗3k=33/10k   C's new salary = 120/100∗5k=6k   New ratio = 23k/10: 33k/10: 6k=23:33:60   Option 23:33:60
Answer: D
When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount? Choose the correct choice from the following.
A) 5040	B) 5020	C) 5010	D) 5030	E) 5070

Solution: Let the total amount be Rs. X the,   x/14 - x/18 = 80<=> 2x/126 = 80 <=> x/63 =63 x 80 = 5040.   Hence the total amount is 5040.   5040nswer is 5040.
Answer: A
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January? Select the correct option:
A) 3999 B) 7867 C) 4500 D) 2789 E) 3671

Solution: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8500= 
4 * 8500 = 34_000
34000 ----(2)   (2)-(1) i.e. May - Jan= 2000   Salary of May is Rs.6500   Salary of January   = Rs.4500   Answer: 4500
Answer: C
A freelancer charges a fixed fee of $20 for his services. Any additional alterations costs 15% of the fixed fee per hour. If Tim hires this freelancer, and hires him again to make alterations which took 20 more hours. How much does Tim have to pay the freelancer in total?	Choose the correct choice from the following choices
A) 15  B) 23  C) 100  D) 20  E) 80

Solution: Fixed fee is $20   Additional hours is   0.15*20= 
  0.15*20 = 3
$3   Total fee is (20*$3)+$20= $80.   Answer is 80 (20* 3)+ 20= 
 (20* 3)+ 20 = 80
$80.   Answer is 80
Answer: E
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 55 kmph. In what time will they be completely clear of each other from the moment they meet?  Choose the correct option
A) 7.19 B) 7.17 C) 7.62 D) 7.15 E) 7.11

Solution: T = (121 + 165)/ (80 + 55) * 18/5   T = 7.62   Answer:7.62
Answer: C
How many of the integers between 25 and 95 are even ? Choose the correct answer:	A) 35	B) 90	C) 11	D) 10	E) 9

Solution: Number start between 25 to 95 is 70 numbers   half of them is even..which is 35   35NSWER:35
Answer: A
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?  Pick:
A) 5.2 hrs  B) 2.9 hrs  C) 1.9 hrs  D) 6 hrs  E) 5 hrs

Solution: Net part filled in 1 hour = (1/3 - 1/6) = 1/6   The cistern will be filled in 6/1 hrs i.e., 6 hrs.   Answer:6 hrs
Answer: D
In a certain corporation, there are 300 male employees and 150 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female? Choose the correct choice from the following answers:
A) 7/15  B) 3/10  C) 3/5  D) 2/5  E) 3/4

Solution: P(female) = 150/450 = 1/3   P(male with advanced degree) = 0.2*300/450 = 60/450 = 2/15   The sum of the probabilities is 7/15   The answer is 7/15.
Answer: A
Find the value of y from (12)^3 x 6^ 4 ÷ 432 = y?
Choose the correct answer:
A) 3456
B) 4567
C) 4789
D) 5678
E) y=5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72) 2 = 5184   432 12 x 62   y=5184
Answer: E
How many times does the minute hand and the second hand make a straight line?  Choose the correct answer:
A) 2844
B) 2832
C) 2855
D) 2381
E) 2831

Solution: make a straight line 59 x 2 times = 118 times (both aligned, and in opposition) and there are 24 hours in a day, so in a day minutes and second hand make a straight line 24 x 118 times = 2832 times.   so answer is 2832
Answer: B
A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 140 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $400, how many of the books sold were paperbacks? Pick one
A) 20 B) 40 C) 60 D) 80 E) 100

Solution: The dealer earns a profit of $2 per paperback and $3 per hardback.   If all 140 books were paperbacks, the dealer would earn a profit of $280.   Since the actual profit was $400, the dealer must have sold 120 hardbacks.   Then the number of paperbacks sold was 140-120= 
140-120 = 20
20.   The answer is 20.
Answer: A
In how many ways can a group of 4 men and 2 women be made out of a total of 7 men and 3 women?
Choose the correct choice from the following options:
A) 100
B) 102
C) 105
D) 107
E) 101

Solution: We need to select 4 men from 7 men and 2 women from 3 women.   Number of ways to do this   = 71054 × 31052   = 71054 × 31051 [∵ n105r = n105(n-r)]   = 105   Ans- 105
Answer: C
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 4% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?  Pick one: A) 1 : 2 B) 5 : 4 C) 2 : 3 D) Data inadequate E) None of these

Solution: Let the population of males = x; then the population of females = 9000 – x   Now, 4% of x + 8% of (9000 – x)   = (9600 – 9000 ) = 600   or 0.04x + 720 – 0.08x = 600   or 720 – 600 = 0.08x – 0.04x   or, 120 = 0.04x   x = 3000   Reqd ratio of population of males and females   3000/9000−3000=3000/6000=1:2   1 : 2nswer 1 : 2
Answer: A
Average of 7 results is 121. If the average of first three results is 115 and average of last three results is 120 Then find the fourth result?
Choose the correct choice from the following answers:
A) 142
B) 150
C) 126
D) 185
E) 165

Solution: Option '142'
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 6552 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election. Select the correct option:
A) 13000
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)) = 6552.   (75/100 * 96/100 * 70/100 * x) = 6552.   => x = (6552*100*100*100)/(75*96*70)= 
(6552*100*100*100)/(75*96*70) = 13_000
13000   13000nswer : 13000
Answer: A
100 oranges are bought at the rate of Rs. 350 and sold at the rate of 48 per dozen. The percentage of profit is
Choose the correct answer.
A) 12 2/7% B) 13 2/7% C) 14 2/7% D) 15 2/7% E) 16 2/7%

Solution: Explanation:   So before solving this question we will get the C.P. and S.P. of 1 article to get the gain percent.   C.P. of 1 orange = 350/100= 
350/100 = 7/2 = around 3.5
Rs 3.50   S.P. of one orange= 48/12= 
48/12 = 4
Rs 4 [note: divided by 12 as 1 dozen contains 12 items]   Gain= 4 - 3.50= 
4 - 3.50 = 0.5
Rs 0.50   Gain%=0.50/ 3.50∗100=100 /7%=14 2/7%   Option 14 2/7%
Answer: C
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 30 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?  Choose the correct option:
A) 220/(30+10A)
B) 220/(30+60A)
C) 220/36A
D) 220/(30+10A)
E) 220/40A

Solution: Since we are dealing with the variables in the answer choices,the best possible method according to me would besubstitution.   Substitute A with 3.meaning tommy would have travelled a distance of ((160-30) + (160-70)) in 60 minutes.   220 Kms in 60 minutes ==> 3.6km/hr.   Substitute A with 3 in the answer options.   Option 220/(30+10
Answer: A
Mahesh can do a piece of work in 45days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?  Choices:
A) 54  B) 25  C) 37  D) 41  E) 30

Solution: Work done by Mahesh in 45days = 20*1/45 = 4/9   Remaining work = 1 - 4/9 = 5/9   5/9 work is done by Rajesh in 30days   Whole work will be done by Rajesh is   30*9/5= 
  30*9/5 = 54
54days   54nswer is 54
Answer: A
A lemonade stand sold only small and large cups of lemonade on Tuesday. 5/9 of the cups sold were small and the rest were large. If the large cups were sold for 12/11 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?  Choose the correct choice from the following choices.
A) (a) 7/16  B) (b) 7/15  C) (c) 48/103  D) (d) 17/35  E) (e) 1/2

Solution: A simpler way i guess would be to think that in total 9 cups were sold. Out of which 5 are small and 4 are large. Now let the small ones cost $11. so the large ones would cost $12.   So,   5*11= 
5*11 = 55
55 and   4*12= 
  4*12 = 48
48.   Total revenue was 55+48= 
55+48 = 103
103   and Large cup sales as found above is 48   Therefore answer is 48/103   (c) 48/103
Answer: C
A square, with perimeter 80, is inscribed in a circle. What is the area of the circle?
Answers
A) 400π	B) 200π	C) 250π	D) 300π	E) 150π

Solution: Area of circuscribed circle = pi/2*area of square   Area of square = (80/4)^2 = 20^2= 400   Area of circle = pi/2*400=200pi   Answer : 200π
Answer: B
Ajit was driving down the country side when he saw a farmer tending his pigs and ducks in his yard. Ajit asked the farmer how many of each he had.The farmer replied that there were 60 eyes and 86 feet between them.How many ducks and how many pigs were there ?	Choose the correct choice
A) 13	B) 14	C) 15	D) 16	E) 17

Solution: let the no of ducks be X and no of pigs be Y.   then,since there are 60 eyes in total and both ducks and pigs have 2 eyes we have : 2X+2Y=60 --(1)   and total no of legs are 86,ducks have 2 legs while a pig has four so.: 2X+4y=86 ---(2)   subtracting (1) from (2) ,we get   2Y=26. ie. Y =13   putting value in (1),   we get X=17   ANSW17R:17
Answer: E
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Choose the correct answer:  A) 73  B) 44  C) 72  D) 62  E) 43

Solution: Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 4/9 (T - 8)   After adding milk, quantity of milk in the mixture = 6/11 T.   6T/11 - 8 = 4/9(T - 8)   10T = 792 - 352 => T = 44.   Answer: Option 44
Answer: B
A car takes 6 hours to cover a distance of 630 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?	Choices:
A) 60
B) 50
C) 40
D) 70
E) 65

Solution: Time = 6   70istance = 630   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 630/9= 
630/9 = 70
70 Kmph   Answer 70.
Answer: D
In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Choose the correct option
A) 150
B) 750
C) 1,250
D) 1,500
E) 2,500

Solution: Given 150 deers were caught and they are tagged in the first slot.   In the second slot , 50 were caught and 5 we tagged then 10% of them are tagged.   Given this 10% approximates the percentage of tagged deer in the forest..here number is 150..   then 100% is 1500.. is the number of deers population in the forest..   Answer: 1,500 is correct answer..
Answer: D
At 9 am a car (A) began a journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A).
At what time will car B pass car A?  Choose the correct choice from the following answers.
A) 12 pm B) 1 pm C) 2 pm D) 3 pm E) 4 pm

Solution: After t hours the distances D1 traveled by car A is given by   D1 = 40 t   Car B starts at 10 am and will therefore have spent one hour less than car A when it passes it. 12 pmfter (t - 1) hours, distance D2 traveled by car B is given by   D2 = 60 (t-1)   When car B passes car 12 pm, they are at the same distance from the starting point and therefore D1 = D2 which gives   40 t = 60 (t-1)   Solve the above equation for t to find   t = 3 hours   Car B passes car 12 pm at   9 + 3= 
9 + 3 = 12
12 pm   12 pmnswer 12 pm
Answer: A
The balance of a trader weighs 8% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?  Choose the correct choice from the following:  A) 40%  B) 8%  C) 10.4%  D) 16.66%  E) 9%

Solution: The most natural way to deal with 'weights' questions is by assuming values.   Say the trader's balance shows 100 gms. It is actually 92 gms because it weighs 8% less. Say, the cost price is $92 ($1/gm). Since he gets a profit of 20%, the selling price must be 92+(20/100)*92= 
92+(20/100)*92 = 552/5 = around 110.4
$110.4   Since the cost price is actually supposed to be $100 (for 100 gms) and the selling price is $110.4, the mark up is simply 10.4%.   Ans : 10.4%
Answer: C
X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following can be the difference of X and Y ?
Choose the correct choice from the following options.
A) 73
B) 44
C) 33
D) 29
E) 9

Solution: X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y:   X = 10a + b   Y = 10a + b   X - Y = (10a + b) - (10a + b) = 9(a - b). As you can see the difference must be a multiple of 9. Only option E is a multiple of 9.   Answer: 9.
Answer: E
A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws,each ball being put back after it is drawn? Choose the correct choice from the following options:
A) 2/27	B) 1/9	C) 1/3	D) 4/27	E) 2/9

Solution: P=2∗39∗29=427P=2∗39∗29=427   We are multiplying by 2 as there are two possible wining scenarios RW and WR.   Answer: 4/27.
Answer: D
In Kaya's teacher's desk there are 10 pink highlighters, 15 yellow highlighters, and 8 blue highlighters. How many highlighters are there in all?  Pick one:
A) 11  B) 22  C) 77  D) 33  E) 88

Solution: Add the numbers of highlighters.   10 + 15 + 8= 
10 + 15 + 8 = 33
33.   Answer is 33.
Answer: D
If m is an integer such that (-2)^2m=2^(21-m) then m=?	Answers:
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: 2m = 21-m   3m = 21   m = 7   The answer is 7.
Answer: C
In 1995, the Jossy spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Jossy cut back their water usage. By how much must the Jossy have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?  Choices
A) a)	33 1/3 %
B) b)	40 %
C) c) 50 %
D) d)	66 2/3 %
E) e)	100 %

Solution: Let x be the water usage and c be the cost waterof Jossy   We have   xc =800, c=800/x   Y(1.5c)=800 where Y is the water usage in 1996   Y= 800/ (1.5*800/x)= 1/1.5x=2/3x   Thus reduction will be x-2/3x=1/3x=a)	33 1/3 %
Answer: A
If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained.If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun?  Options
A) 48  B) 60  C) 84  D) 96  E) 69

Solution: arun age x.   (x-6)/18=y   y is gokul age which is 3   x=60   ANSWER:60
Answer: B
Rita bought 105 items from the market, and each item is either glass, cup, or spoon. If she ownsbought 5 more cups than glasses, and twice as many cups as glasses, how many glasses Rita did buy ?  Answers
A) 20  B) 25  C) 30  D) 40  E) 50

Solution: x = the number of glasses   y = the number of cups   z = the number of spoons   From the first sentence we have   Equation #1: x + y + z = 105   ...she bought 5 more spoons than glasses...   Equation #2: z = 5 + x   ...twice as many cups as glasses...   Equation #3: y = 2x   Now, we can replace y with x in Equation #1   x + 2x + z = 105   Equetion 4 : 3x + z = 105   by adding Equetion #2 and Equetion #4   4x = 100   x = 100/4= 
100/4 = 25
25   There are 25 glasses. That's the answer. Just for check, this is 5 less than the number of spoons, so z= 30, y = 50, and   25 + 50 + 30= 
  25 + 50 + 30 = 105
105.   Answer= 25,(25)
Answer: B
If f(x) = -2x2 + 8x - 4, which of the follwoing is true?  Choose the correct answer:
A) The maximum value of f(x) is -4.
B) The graph of f opens upward.
C) The graph of f has no x-intercept
D) f is not a one to one function.
E) The maximum value of f(x) is 4.

Solution: f(x) is a quadratic function and its graph is a parabola that may be intercepted by horizontal lines at two points and therefore is not a one to one function. The answer is f is not a one to one function.   correct answer f is not a one to one function.
Answer: D
In an xy-coordinate plane, a line is defined by y = kx + 1. If (3, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?  Pick one.
A) 1/2	B) 1	C) 3/2	D) 2/3	E) 5/2

Solution: b=3k+1...(1)   b+1=ak+1...(2)   4=ak+1...(3)   Taking (2) and (3)   4=b+1   b=3   Taking (1)   3=3k+1   k=2/3   Answer : 2/3
Answer: D
There are 1400 jelly beans divided between two jars, Jar X and Jar Y. If there are 300 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?
Choose the correct choice from the following answers:	A) 925	B) 950	C) 975	D) 1000	E) 1025

Solution: X+Y=1400 so Y=1400-X   X=3Y-300   X=3(1400-X)-300   4X=3900   X=975   The answer is 975.
Answer: C
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B + C? Choose one:
A) 6A+7.
B) 5A+1.
C) 4A-3.
D) 6A-5.
E) 6A-7.

Solution: B = A-1   4A-3.= A-2   Putting these values in 2A +B + 4A-3. we get 4A-3   4A-3. is the answer
Answer: C
Last year, for every 100 million vehicles that travelled on a certain highway, 90 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)  Choose the most appropriate option:
A) 288
B) 320
C) 2,700
D) 3,200
E) 28,800

Solution: To solve we will set up a proportion. We know that “100 million vehicles is to 90 accidents as 3 billion vehicles is to x accidents”. To express everything in terms of “millions”, we can use 3,000 million rather than 3 billion. 2,700reating a proportion we have:   100/90 = 3,000/x   2,700ross multiplying gives us:   100x = 3,000 * 90   x = 30 * 90 = 2,700   2,700orrect answer is 2,700.
Answer: C
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked two mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
Choose one:  A) 24  B) 44  C) 73  D) 60  E) 62

Solution: She walked 18 miles on the first day, walking 3 miles per hour i.e. total time of walk on Day-1 = 18/3= 
18/3 = 6
6 Hours   Second day time of walk= 6-1= 
6-1 = 5
5 hours and Speed= 3+2= 
3+2 = 5
5 miles per hour i.e. Distance walked on second day= 5*5= 
5*5 = 25
25 miles   Third day time of walk= 6 hours and Speed = 5 miles per hour i.e. Distance walked on second day = 6*5= 
6*5 = 30
30 miles   Total Distance travelled on three days= 18+25+30= 
18+25+30 = 73
73   Answer: Option 73
Answer: C
What should come in place of the question mark (X) in the following equation ?
60% of X + 2/3 of 39 = 44
Choose the correct choice from the following answers.
A) 30 B) 37 C) 28 D) 26 E) 18

Solution: Explanation:   60% of X + 2/3 of 39 = 44   i.e. 3/5 of X + 2/3 of 39 = 44 (60% = 3/5)   3/5 * X + 2/3 * 39 = 44   3/5 * X + 26 = 44   3/5 * X = 18   X = 18 * 5/3= 
18 * 5/3 = 30
30   30NSWER: 30
Answer: A
The ratio of ducks and frogs in a pond is 35 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
Choose the correct choice from the following:
A) 160	B) 152	C) 156	D) 144	E) None

Solution: Solution:   Ratio of Ducks and Frogs in Pond,   = 35 : 39.   Average of Ducks and Frogs in Pond,   = 152.   So, total number of Ducks and Frogs in the Pond,   = 2* 152= 
2* 152 = 304
304.   Therefore,   Number of Frogs,= (304 *39)/74 = 160.   160nswer: Option 160
Answer: A
If x/(12p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?  Choose the correct choice from the following choices:
A) 22
B) 33
C) 44
D) 48
E) 99

Solution: x/(12p) = even prime number   x = even prime number * 11p   Least value of x = Lowest even prime number * 12 * Lowest value of p   = 2 * 12* 2= 
2 * 12* 2 = 48
48   Answer 48
Answer: D
What number has a 5:1 ratio to the number 10?
Choose the correct choice from the following:
A) 88  B) 50  C) 66  D) 2881  E) 11

Solution: 5:1 = x: 10   x = 50   Answer: 50
Answer: B
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 1 a.m.?	Answers: A) 23 Minutes B) 19 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 =9*2= 
9*2 = 18
18 total=19   ANSWER:19 Minutes
Answer: B
A can do a job in 15days and B in 20days. If they work on it together for 4 days, then the fraction of the work that is left is?
Choose the correct choice from the following choices.
A) 2/15 B) 8/15 C) 3/11 D) 1/12 E) 6/13

Solution: A's 1 day work = 1/15   8/15's 1day work = 1/20   A+8/15 1day work = 1/15 + 1/20 = 7/60   A+8/15 4days work = 7/60*4 = 7/15   Remaining work = 1 - 7/15 = 8/15   Answer is 8/15
Answer: B
Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?  Select:
A) 4 sec
B) 5 sec
C) 6 sec
D) 7 sec
E) 8 sec

Solution: 70 + 80= 
70 + 80 = 150
150 * 5/18= 125/3 mps   D = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 3/125= 
250 * 3/125 = 6
6 sec   Answer:6 sec
Answer: C