MU-NLPC/Calc-aqua_rat huggingface dataset:
The price for a loaf of bread in April was $1.17, in May the price was $1.30, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
Pick:	A) $1.13	B) $1.14	C) $1.15	D) $1.16	E) $1.17

Solution: Let x be the number of loaves sold in May.   Then 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.   The average price was (2x/3)(117) + 130x + (4x/3)(105) / (2x/3 + x + 4x/3) =   (78 + 130 + 140) / (3) = 348/3 = $1.16   The answer is $1.16.
Answer: D
A taxi charges q dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.	Options:	A) qn – c/8(100)	B) cq + 4n-8/200	C) q + (4cn-8c)/100	D) q + 100cn/4	E) 4cq(n-2) – 100

Solution: This is about as complicated as these types of problems come, but it is essentially the same as any problem which has an initial cost which is added to a dependent additional cost. Looking at the problem, we notice that the cost q is added to the mile dependent cost, which is some combination of the other terms listed in the problem. With just that knowledge we can eliminate all but two of the answer choices! Choices (A), (B), and (E) either do some strange calculation with the initial cost q, or subtract the additional cost from q. Both of these circumstances would be next to impossible if there is an initial cost being added to another cost. Thus, we only have to choose between choice (C) and choice (D). We can easily find the right answer by plugging in real numbers and checking which choice yields a correct answer. We can also see that answer choice (D) seems to be multiplying the cost in cents by 100, which, if the trip was 6 miles and the charge per mile was 25 cents, would make the taxi cost an additional $3750! This seems impossible, and leaves only the correct answer choice, (q + (4cn-8c)/100).
Answer: C
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder T of Y divided by 5?  Choose the correct choice from the following options:
A) T=1.
B) T=2.
C) 3.
D) 4.
E) 5.

Solution: X divided by 10 gives reminder of 2. X can be 2/12/22....   X+Y divided by 5 is 4. X + Y can be 4/ 9/ 19....   If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2   Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2   Hence the answer must be 2 (B)   Also....   x+y=5m+4 and x=10K+2   hence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is T=2.
Answer: B
A person travels from P to Q a speed of 80 km/hr and returns by increasing his speed by 10%. What is his average speed for both the trips? Options.
A) 33
B) 77
C) 48
D) 84
E) 21

Solution: Speed on return trip = 110% of 80 = 88 km/hr.   Average speed of trip = 80 + 88 /2 = 168/2= 
168/2 = 84
84 km/hr   Answer : 84
Answer: D
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in Select the correct option.
A) 2 days  B) 3 days  C) 4 days  D) 5 days  E) 6 days

Solution: That is, 1 person can do one time of the work in 3 days.   Therefore, 7 persons can do 7 times work in the same 3 days itself.   3 days
Answer: B
Annie will be half as old as Larry in 3 years. Annie will also be one-third as old as Jerome in 5 years. If Jerome is 11 years older than Larry, how old is Annie?
Choose the correct answer:
A) 4
B) 8
C) 19
D) 26
E) 34

Solution: J = L+11   (1) 2(4+3) = L+3   (2) 3(4+5) = J+5 = L+16   Let's subtract equation (1) from equation (2)   4+9= 
4+9 = 13
13   4= 4   The answer is 4.
Answer: A
A man in a train travelling at 30km/hr notices that a train going in the opposite direction passes him in 9 sec.If the length of this train is 200m find its speed . Choose the correct choice from the following:
A) 30 km/hr B) 40 km/hr C) 50 km/hr D) 60 km/hr E) 70 km/hr

Solution: relative speed of trains = 200/9 mtrs/sec = 200*18/(9*5)= 
200*18/(9*5) = 80
80 km/hr   speed of 2nd train= 80-30= 
80-30 = 50
50 km/hr   ANSWER:50 km/hr
Answer: C
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 most appropriate option.
A) 4/5 km
B) 4/8 km
C) 6/5 km
D) 4/0 km
E) 4/4 km

Solution: x/3 – x/4 = 4/60   x = 4/5 km   4/5 kmnswer:4/5 km
Answer: A
Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of goats? Pick.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Assume number of respective animals are x,y,z.   x+y+z=20---(1) as the total number of animal has to be 20   Amt of milk will be 4x+(1/2)y+(1/4)z=20---(2)   Solving equation 1 and 2 we get   15x+y=60 ----(3)   Since buffalo gives 4litre and total milk is 20, x < 5   But from eq 3, x cannot be more than 4;   Further if x=1 or 2; y>20... Not possible, since total animal is 20   Thus, x=3, y=15, z=2   2goats   ANSWER:2
Answer: B
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 300 milliliters of solution X to create a solution that is 15 percent alcohol by volume?	Answers
A) 50  B) 100  C) 150  D) 200  E) 250

Solution: 15% is 5%-points higher than 10% but 15%-points lower than 30%.   Thus there should be 3 parts of solution X for 1 part of solution Y.   We should add 100 ml of solution Y.   The answer is 100.
Answer: B
What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50%?
Choose the most appropriate option:
A) 125% B) 150% C) 100% D) 90% E) 85%

Solution: The question is very easy. My logic is the following:   125% surface = 6*a^2   125%fter 50% increase 125% surface = 6* ((1.5a)^2) = 6*2.25*a^2   The increase in the surface area = (6*2.25*a^2 - 6*a^2)/6*a^2 = (6*a^2(2.25-1))/(6*a^2) = 2.25-1= 
2.25-1 = 1.25
1.25= 125%   125%nswer :125%
Answer: A
Bob's pizza recipe calls for 2 ounces of baking soda for every 2 cups of flour used. He needs to use 12 cups of flour to make 6 pizzas for a party. If 12 cups of flour is used, then how many ounces of baking soda are needed?
Choose the correct choice from the following
A) 24	B) 12	C) 2	D) 6	E) 18

Solution: Number of ounces per 2 cups of flour is 2   Number of cups of flour used in total is 6   Ounces needed is 12   Answer 12   The correct answer is 12.
Answer: B
If $0.2 is commission for sales of $1,000, what percent of sales amount is the commission?  Select the correct option:
A) 2%  B) 0.2%  C) 0.02%  D) 0.002%  E) 0.0002%

Solution: % of sales amount of commission = (Commission/Total Value) *100 = (0.2/1000) * 100= 
(0.2/1000) * 100 = 0.02
0.02%. Answer 0.02%.
Answer: C
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 3 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. The bee flies how many meters per second from the daisy to the rose?  Answers
A) 4.2 B) 5.2 C) 6 D) 8 E) 10

Solution: Let the speed be 's' and let the distance between rose and poppy be 'x'   The problem boils down to:   Rose to Poppy: s+3=x/6 ------- 1   Daisy to Rose: s=(x+3)/10------ 2   so from 1 we can re write x as x=6s+18   substitute the value of x in 2 gives us s=4.2 m/s   4.2
Answer: A
Josh spends a total of $4.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?  Select.
A) 99 B) 100 C) 81 D) 109 E) 140

Solution: Let x be 0.05$ single bubblegum and y be the total 0.5$ packs ---> 0.05x+0.5y=4.5 ---> x+10y=90 ...(1)   Also, x+y=N ...(2)   Solving 1 and 2 , we get, N = 90-9y ---> only value satisfied is when y = 1---> N = 90-9= 
90-9 = 81
81.   C is the correct answer. Other options are not equal to multiples of 9 removed from 90.
Answer: C
A computer manufacturer produces a certain electronic component at a cost of $75 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
Pick.
A) $28
B) $187
C) $110
D) $138
E) $192

Solution: This question can be solved easily using a equation model.   150*p = 16500(fixed cost) + 150*75+150*2.   = 16500 + 11250 + 300   P= $187   $187
Answer: B
A, B and C started a partnership business by investing Rs.5000, Rs.8000, Rs.9000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?	Options
A) 70000 B) 60000 C) 88000 D) 90000 E) 50000

Solution: A:B:88000 =5000:8000:9000   =5:8:9   Let total profit =p   Then pÃ—9/22=36000   p=(36000Ã—22)/9=88000   Answer is 88000.
Answer: C
A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is: Choose the most appropriate option.
A) 10	B) 20	C) 40	D) 73	E) None of the above

Solution: Let there be x pupils in the class.   Total increase in marks = (x × 1⁄2) = x⁄2.   ∴ x⁄2 = (83 - 63) ⇒ x⁄2 = 20 ⇒ x = 40.   Answer 40
Answer: C
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 20 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.	Choose the correct choice from the following choices:  A) $0.94  B) $0.96  C) $0.98  D) $1.00  E) $1.09

Solution: Assume the manager bought 100 tomatoes.   Cost Price = 80   Given: 20% are damaged --> Available tomatoes to sell = 80   80 * x - 80 = 0.08 * 80   80x - 80 = 6.4   80x = 86.64   x = 86.64/80 = 87/80 (approx) = 1.0875   x is slightly under 1.0875 = 1.09   Answer: $1.09
Answer: E
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (6,6) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Options:
A) (-2,6)  B) (0,4)  C) (2,-6)  D) (2,6)  E) (4,8)

Solution: Area.pngSince A is equidistant from points O and B, then it must be somewhere on the green line (perpendicular bisector of OB).   (2,-6) and (2,6) are not on that line. If A is at (0,6) or (6,0), then the area is 1/2*6*6= 
1/2*6*6 = 18
18. Thus A must be at (4,8).   Answer: (4,8).
Answer: E
The average age of 3 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?	Choose the correct choice from the following answers: A) 10years B) 15years C) 20years D) 25years E) 18years

Solution: Total age of 3 boys = 25*3= 
25*3 = 75
75   ratio of their ages= 3:5:7   Age of the youngest = 75*3/15= 
75*3/15 = 15
15 years   Answer is 15years
Answer: B
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?  Choose the correct choice from the following choices
A) 11 1/98%	B) 11 9/9%	C) 11 1/9%	D) 12 1/9%	E) 41 1/9%

Solution: 900 --- 100   100 --- ? => 11 1/9%   Answer:11 1/9%
Answer: C
Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?	Answers.
A) Rs.7528  B) Rs.7500  C) Rs.7527  D) Rs.7522  E) Rs.7572

Solution: Let Mohan's salary be Rs.100.   When increased by 20%, Mohan's salary = Rs.120   Again when decreased by 20%, Mohan's salary = 120 - 24 = Rs. 96.   But present salary is Rs. 7200   for, 96 ---> 100 ; 7200 ---> ?   Required salary is 7200/96 * 100   =Rs.7500   Answer:Rs.7500
Answer: B
Sam is training for the marathon. He drove 13 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Choose the correct choice from the following choices:
A) 1 ≤ n ≤23
B) 3 ≤ n ≤21
C) 5 ≤ n ≤19
D) 6 ≤ n ≤20
E) 9 ≤ n ≤15

Solution: ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 13+6-2+3= 
13+6-2+3 = 20
20 for the maximum, and   13-6+2-3= 
  13-6+2-3 = 6
6 for the minimum, so 6 ≤ n ≤20 is the answer
Answer: D
For a certain set, the value range of its members is 88.8. A new set is created from the members of the old set as follows: 12 is subtracted from a member of the old set, and the result is divided by 4. The resulting value is a member of the new set. If this operation is done for each member of the old set, what is the range of values of the members of the new set?	Choose the correct choice from the following answers.
A) 19.2 B) 22.2 C) 36.6 D) 44.4 E) 88.8

Solution: Let x and z be the smallest and largest of the original set, respectively.   z - x = 88.8   The smallest and largest members of the new set will be (x-12) / 4 and (z-12) / 4.   Then the range is (z-12) / 4 - (x-12) / 4 = (z-x) / 4 = 88.8 / 4= 
88.8 / 4 = 22.2
22.2   The answer is 22.2.
Answer: B
Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.  Choose the correct answer.
A) 645  B) 655  C) 665  D) 636  E) 646

Solution: Exp. Let the actual number of points scored be x,   Then [ x + (92 –85 )] /8 = 84, ( x + 7) /8 = 84 , x = ( 84*8 )- 7,   = 672 - 7= 
672 - 7 = 665
665   Answer: 665
Answer: C
If a rooster laid 13 eggs, and the farmer took 8 of them, and then another rooster laid 12 eggs and 4 of them were rotten, how many of the eggs were left?
Choose the correct choice from the following options:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: 0   0   Roosters don't lay no eggs!
Answer: A
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Select:
A) 300	B) 349	C) 500	D) 550	E) 370

Solution: x = 13p + 11 and x = 17q + 9   13p + 11 = 17q + 9   17q - 13p = 2 => q = 2+13p/17   least value of p for which q = 2+13p/17 is whole no is p = 26   x = (13*26+11)= 
(13*26+11) = 349
349   ANSWER 349
Answer: B
What is the sum of all the multiples of 25 between 30 and 100?	Select.
A) 800 B) 625 C) 600 D) 250 E) 200

Solution: You first have to know all the multiples of 25 between 30 and 100. They are 25,50,75and100. If you add all these numbers together, you get 250.   Final Answer: 250
Answer: D
On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain? Choose the correct option.
A) 14.83
B) 14.81
C) 14.8
D) 14.82
E) 14.12

Solution: Explanation:   Since 312 inch = 136 km   So 1 inch = 136/312 km   So 34 inch = (136 × 34)/ 312 = 14.82 km   Answer: 14.82
Answer: D
Each of the integers from 4 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?  Choices
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Answer is 3. In the worst case, you could end up drawing 4,5. 7th draw will result in either of 6,7,8,9 which would result in the numbers adding to 10.   3
Answer: A
Concentrated apples juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated apples juice, at the most, can fit into 3 wooden boxes?
Pick one:
A) 24.
B) 28.
C) 36.
D) 42.
E) 48.

Solution: Concentrated apples juice comes inside a cylinder tube since height of a tube is 15 inches , the tubes can fit only in one way now, diameter of each tube = 5 inches   therefore, 4*2 can be put in each wooden box   in 3 boxes  3*4*2= 
 3*4*2 = 24
24=24.
Answer: A
20 % of 2 is equal to	Choose one.
A) 0.2
B) 0.3
C) 0.4
D) 0.5
E) 0.6

Solution: 20 % of 2 = (20 / 100) * 2= 
(20 / 100) * 2 = 2/5 = around 0.4
0.4   ANSWER (0.4)=0.4
Answer: C
If q = 30! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 29 Choose the correct option.
A) I​ only B) III only C) II and III D) I and II E) I​, II, and III

Solution: The numbers 11, 19, and 29 are all factors of 30!   Therefore they can not be factors of 30! + 1.   The answer is I​, II, and III.
Answer: E
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?  Choose the correct answer.
A) 6 2/5% B) 6 2/7% C) 6 2/3% D) 6 5/3% E) 6 7/3%

Solution: 10 6 2/3%P = 12 SP   12 --- 2 6 2/3%P loss   100 --- ?   => 16 2/3%   Answer: 6 2/3%
Answer: C
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability W the piece ends no more than 7 spaces from the square numbered 49? Choose the correct choice from the following answers:  A) 7%  B) 8%  C) 14%  D) 15%  E) 28%

Solution: OA is E   required prob is 7 spaces any side of 49.   so total 14 spaces are required in 7 moves which can be achieved by max 7 move on any side   so total spaces = 28   probability W= 28%.28%
Answer: E
39 persons can construct a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Options.
A) 10  B) 13  C) 14  D) 15  E) None of these

Solution: Explanation :   Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons 30 : 39 :: 12 : x   Working hours/day 6 : 5   30 x 6 x x = 39 x 5 x 12   x = (39 x 5 x 12) /(30 x 6)   x = 13.   Answer : 13
Answer: B
Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 78. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?  Select the correct option
A) (a) 80  B) (b) 81  C) (c) 82  D) (d) 65  E) (e) 84

Solution: T1: 1,2,3,4,5   T2: 2,3,4,5,6   T3: 3,4,5,6,7   etc.   means that every multiple of 6 will be involved in 5 sets. We have (78-6)/6+1= 
(78-6)/6+1 = 13
13 such multiples.   So, final number of sets is  13*5= 
 13*5 = 65
65   Answer: (d) 65
Answer: D
Two cubes of their volumes in the ratio 343 : 729. The ratio of their surface area is: Choose the correct choice from the following choices.
A) 7:9	B) 2:5	C) 3:5	D) 1:5	E) 4:5

Solution: The ratio of their surface area is   343 : 729   7 : 9   7:9nswer is 7:9.
Answer: A
A metered rikshaw charges Rs 13.50 for the first 1 Km and 2.50 per 1/3 km there after. What would the charge if this rikshaw is hired for 13 Kms? In approx??
Pick:  A) 103.5 Rs  B) 104.5 Rs  C) 105.5 Rs  D) 106.5 Rs  E) 107.5 Rs

Solution: For 1st Km: Rs.13.50   Ramaining distance: 13-1= 
 13-1 = 12
12 KM   1/3 km costs 2.5 rs   1 km costs (2.5*3)   Remaining 12KM costs (2.5*3)*12= 
(2.5*3)*12 = 90
90 Rs   total cost=90+13.5= 
90+13.5 = 103.5
103.5 Rs   103.5 RsNSWER:103.5 Rs
Answer: A
If after 200 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?  Choose the correct choice from the following answers:	A) 180 grams	B) 220 grams	C) 250 grams	D) 350 grams	E) 400 grams

Solution: The h20 content in 200 gms of water is 1   h20 content in 24% solution is 0.76   Resulting new solution's concentration decreases by one third means. Now it becomes 16% solution which means h20 content is 0.84   Let amount of solution be X   Then the equation can be set up   200*1 + 0.76X = 0.84 (X+200)   0.08X = 32   8X = 3200   X = 400   ANSW400 gramsR:400 grams
Answer: E
In a group of600 readers who read science fiction or literacy works or both, 200 read science fiction and 230 read literacy works. How many read both science fiction and literacy works?
Choose the correct choice from the following:
A) 70  B) 30  C) 25  D) 100  E) 110

Solution: Consider total number of reader n(S U L) = 600   People who read science fiction n(S) = 400   People who read literacy works n(L) = 230   both science fiction and literacy n(S âˆ© L) = ?   n(S U L) = n(S)+ n(L) - n(S âˆ© L)   600 = 400 + 230 - n(S âˆ© L)   n(S âˆ© L) =630 -600   n(S âˆ© L) = 30   SO People read both science fiction and literacy works are 30   ANSWER:30
Answer: B
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother 5 years younger to her was born. What is the difference between the ages of her parents?
Select the correct option:
A) 2 years
B) 4 years
C) 6 years
D) 7 years
E) 8 years

Solution: Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 5)= 
(38 + 5) = 43
43 years.   Required difference= (43 - 36)= 
(43 - 36) = 7
7 years.   Answer: Option 7 years
Answer: D
A family travelled for 12 hours. They covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by the family?
Select.
A) 270 km	B) 890 km	C) 684 km	D) 320 km	E) 560 km

Solution: Let the distance travelled be x km.   Total time = (x/2)/35 + (x/2)/40 = 12 => x/70 + x/80   = 12 => (8x + 7x)/560 = 12 => x   = 560 km   Answer: 560 km
Answer: E
In a 100 m race, A runs at 8km per hour. If A gives B a start of 8 m and still him by 15 seconds, what is the speed of B ?	Answers:
A) 5.52 km/hr.  B) 5.06 km/hr.  C) 5.76 km/hr.  D) 6.76 km/hr.  E) 5.72 km/hr.

Solution: Time taken by A to cover 100 m =(60 X 60 / 8000)	x 100 sec = 45 sec.   B covers (100 - 8)= 
(100 - 8) = 92
92 m in (45 + 15)= 
(45 + 15) = 60
60 sec.   B's speed= (92 x 60 x 60)/(60 x 1000)km/hr = 5.52 km/hr.   5.52 km/hr.nswer is 5.52 km/hr.
Answer: A
ABCD is a square where AB =âˆš4032. Let X be a point on AB and Y be a point on CD such that AX = CY . Compute the area of trapezoid AXYD.	Choose the correct choice from the following options
A) 3008	B) 2002	C) 1008	D) 2016	E) 3000

Solution: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is   always   4032/2= 
4032/2 = 2_016
2016 .   correct answer 2016
Answer: D
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?  Choose the correct answer: A) 176 Sec B) 190 Sec C) 178 Sec D) 267 Sec E) 200 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 2000 m   T = D/S   T = 2000/10= 
2000/10 = 200
200 Sec   Answer:200 Sec
Answer: E
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 30 per cent. The two reductions together are equal to a single reduction of  Select the correct option
A) 45%	B) 47.5%	C) 35%	D) 32.5%	E) 30%

Solution: Price = p   initially price reduced by 25% which means new price is 3/4P   Now on this new price further 30percent is reduced which means the new price is merely 70percent of 3/4P   ==> (3/4)x(7/10)P = 21/40P is the new price after both deduction which is 52.5 percent of the original value P. This implies this entire series of deduction is worth having discounted 47.5% of P. So answer is 47.5% = 47.5%
Answer: B
A and B finish the job in 15 days.while A,B and C can finish it in 3 days . C alone will finish the job in
Pick one.
A) 4.75 days  B) 3.75 days  C) 6.50 days  D) 7.50 days  E) 5.50 days

Solution: Explanation:   3 = (15 * x)/(15 + x)   45+3x=15x   12x=45   X=3.75   Answer: Option 3.75 days
Answer: B