MU-NLPC/Calc-aqua_rat huggingface dataset:
Sonika deposited Rs.8000 which amounted to Rs.10200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? Choose the correct choice from the following options:
A) 9680	B) 10680	C) 2999	D) 2774	E) 1212

Solution: (8000*3*2)/100= 
(8000*3*2)/100 = 480
480   10200   --------   10680   Answer:10680
Answer: B
Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?  Choose the correct choice from the following.
A) Rs 1.10
B) Rs 11
C) Rs 16.50
D) Rs 27.50
E) None of these

Solution: Explanation:   Cost price of 25 kg = Rs. (15 x 14.50 + 10 x 13) = Rs. 347.50.   Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.   profit = Rs. (375 — 347.50) = Rs. 27.50.   Answer: Rs 27.50
Answer: D
The calendar for the year 2007 will be the same for the year:
Select
A) 2014  B) 2016  C) 2017  D) 2018  E) 2019

Solution: Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.   Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017   Odd day : 1 2 1 1 1 2 1 1 1 2 1   Sum = 14 odd days 0 odd days.   Calendar for the year 2018 will be the same as for the year 2007.   Answer: Option 2018
Answer: D
Which of the following best approximates the value of q if 5^25+5^15=5^q ?	Choose the correct choice from the following options:
A) 40  B) 26  C) 25  D) 24  E) 20

Solution: We have: 5^25+5^15=5^q   ==> because 5^15 > 0 --> 5^q MUST be equal or greater than 5^25 ==>q MUST be equal or greater than 25   ==> Option D and E are out immediately.   Divide both sides by 5^q and q >= 25   We have:   5^(25-q) + 5^15/5^q = 1   Because q >= 25 ==>5^15/5^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 5^(25-q) must be approximately 1   ==> 25-q = 0 ==> q is approximately 25   25 is the answer.
Answer: C
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has twu iron coins and twu copper coins, how many different sums from 1¢ to 14¢ can he make with a combination of his coins?	Choices
A) 8
B) 11
C) 9
D) 4
E) 12

Solution: The total sum is 2*2 + 2*5= 
2*2 + 2*5 = 14
14¢. If you can make each sum from 1 to 14 (1¢, 2¢, 3¢, ..., 14¢), then the answer would be 14 (maximum possible).   Now, with 2¢ and 5¢ we cannot make 1¢ and 3¢. We also cannot make 13¢ and 11¢ (since total sum is 14¢ we cannot remove 1¢ or 3¢ to get 13¢ or 11¢).   Also discarded 6 and 8, for lack of even numbers after 4   So, out of 14 sums 6 are for sure not possible, so the answer must be   14 - 6= 
  14 - 6 = 8
8 sums or less. Only A fits.   8nswer: 8.
Answer: A
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 81^5?	Choose one
A) 5 B) 8 C) 10 D) 15 E) 20

Solution: 81 = 3*3*3*3= 3^4   81^5 =(3^4)^5   =3^20   we have to find the greatest positive integer value for x   when x=20, it divides exactly once and that is the least positive integer value of the quotient   therefore, the correct option is 20
Answer: E
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 261 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?  Choose one.
A) 408 B) 475 C) 550 D) 625 E) 700

Solution: Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.   7408+11B=261 ---(1)   8408+22C=600 ---(2)   Dividing (2) by 2   4408+11C=300.....(3)   408dding (1)(3)   11408+11B+11C = 561   408+B+C=51 per hour   So for eight hrs = 51*8= 
51*8 = 408
408= 408nswer = 408
Answer: A
What is the least number should be added to 1156, so the sum of the number is completely divisible by 25? Choose the correct choice from the following answers
A) 19	B) 2	C) 5	D) 6	E) 8

Solution: (1156 / 25) gives remainder 6   6 + 19= 
6 + 19 = 25
25, So we need to add 19   19nswer : 19
Answer: A
The expression (5x-1)/(x+3) is equivalent to which of the following?  Choose the correct choice from the following:
A) (5-2)/3
B) 5 – (2/3)
C) 5 – (x)/(x+3)
D) 5 – (17)/(x+3)
E) 5 - (16)/(x+3)

Solution: Easiest way is to pick any number and put in (5x-1)/(x+3). Then check the options with the same number.   I took x=1 and got 5 - (16)/(x+3) as the answer.
Answer: E
Find value of X: (323^23 + 73^44 + 413^30) - (317 × 91) = ?  Choose one: A) 34455 B) 35546 C) 52150 D) 68542 E) 56842

Solution: It's speed and accuracy which decides the winner. You can use various methods including Vedic mathematics to do calculations quickly.   (32323+7344+41330)−(317×91)=80997−28847=52150   52150
Answer: C
In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?  Choose the correct choice from the following:
A) 16 2/3%
B) 20%
C) 25%
D) 33 1/3%
E) 35%

Solution: Let number of mixed nuts in first can = 100   Number of peanuts in first can = (30/100)*100= 
(30/100)*100 = 30
30   Since second can is one- half of first , number of mixed nuts in second can= 50   Number of peanuts in second can = (40/100)*50= 
(40/100)*50 = 20
20   Total number of peanuts in both cans= 30+20= 
30+20 = 50
50   Total number of mixed nuts in both cans= 100+50= 
100+50 = 150
150   % of peanuts if both cans are mixed= (50/150) *100% = 33.33 %   Answer 33 1/3%
Answer: D
Jim and Joe split the bill based on the amount of space they take up in their apartment. Jim pays for two-fifths of it and Joe pays the rest. If Jim pays 30 dollars, how much will Joe have to pay?	Choose the correct choice from the following answers:
A) 45
B) 50
C) 55
D) 40
E) 60

Solution: 30 x (5/2) = 150/2= 
150/2 = 75
75   150 - 30= 45   45nswer is 45
Answer: A
If H = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in H than the median of the numbers in H?	Choose the most appropriate option
A) 1.0	B) 1.5	C) 2.0	D) 2.5	E) 3.0

Solution: This is a good question to understand the difference between mean and median.   Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)   Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median   Coming to this question,   Mean = (1 + 7 + 18 + 20 + 29 + 33)/6= 
(1 + 7 + 18 + 20 + 29 + 33)/6 = 18
18   Median= (18 + 20)/2= 
(18 + 20)/2 = 19
19   Difference= 1   Option 1.0
Answer: A
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord L in feet?
Choose the correct choice from the following answers.
A) 30	B) 25	C) 15	D) 10	E) 5

Solution: Because the cord was extended to its full length at all items, the dog ran along a semi-circular path, from north to south.   The circumference of a full circle is 2*pi*r, but since we only care about the length of half the circle, the semi-circle path is pi*r.   L=pi*r = 30. Round pi = 3, then r = 10.   Chord is about 10 feet long.10
Answer: D
A man's speed with the current is 20 kmph and speed of the current is 6 kmph. The Man's speed
against the current will be Select
A) 11 kmph B) 12 kmph C) 14 kmph D) 8 kmph E) None of these

Solution: Explanation:   Speed with current is 20,   speed of the man + It is speed of the current   Speed in sƟll water = 20 - 6= 
20 - 6 = 14
14   Now speed against the current will be   speed of the man - speed of the current= 14 - 6= 
14 - 6 = 8
8 kmph   Answer: 8 kmph
Answer: D
In a group of ducks and cows, the total number of legs are 24 more than twice the number of heads. Find the total number of cows.  Choose the correct choice from the following choices.
A) 12 B) 14 C) 16 D) 18 E) 20

Solution: Let the number of ducks be d   and number of cows be c   Then, total number of legs = 2d + 4c = 2(d + 2c)   total number of heads = c + d   Given that total number of legs are 24 more than twice the number of heads   => 2(d + 2c) = 24+ 2(c + d)   => d + 2c = 12 + c + d   => 2c = 12 + c   => c = 12   i.e., total number of cows = 12   12nswer is 12.
Answer: A
The cost price of a cow and a horse is Rs 3 lakhs. The cow is sold at 20% profit and the horse is sold at 10% loss. Overall gain is Rs 4200. What is the cost price of the cow?
Choose the correct choice from the following options
A) 29
B) 88
C) 271
D) 273
E) 111

Solution: Answer:111
Answer: E
I bought three toys for my triplet boys (one for each). I placed the toys in the dark store. One by one each boy went to the store and pick the toy. What is the probability that no boy will choose his own toy? Choose the correct choice from the following choices:
A) 1/4	B) 1/3	C) 1/6	D) 2/3	E) 1/9

Solution: B   1/3   Assuming T1 is the Toy for brother1, T2 is the toy for brother2 and T3 is the toy for brother3.   Following are the possible cases for toys distribution:   Boy1 Boy2 Boy3   T1 T2 T3   T1 T3 T2   T2 T1 T3   T2 T3 T1 .... (A)   T3 T1 T2 .... (B)   T3 T2 T1   In both steps (A) & (B), no one gets the correct toy.   Therefore probability that none brother can get the own toy is 2/6 = 1/3
Answer: B
Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?  Choose the correct option.
A) 40  B) 35  C) 28  D) 49  E) 70

Solution: Let the present ages of X and Y be 5x and 6x years respectively.   Then, (5x + 7)/(6x + 7) = 6/7   7(5x + 7) = 6(6x + 7) => x = 7   X's present age = 5x = 35 years.   ANSWER 35
Answer: B
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 4000m race? Pick:
A) 500
B) 700
C) 400
D) 600
E) 800

Solution: then 960/B -1000/A = 19 => 24/B - 25/A = 19/40   and 1000/B - 960/A = 30 => 25/B - 24/A = 30/40   solving equation A speed =8 and B=20/3   for 1000m b will take 4000/20/3= 600 sec   600
Answer: D
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?	Choose the correct choice from the following options.
A) 5/5
B) 5/8
C) 5/1
D) 5/6
E) 5/2

Solution: P(at least one graduate) = 1 - P(no graduates)   = 1 - 6C3/10C3   = 1 - (6 * 5 * 4)/(10 * 9 * 8)   = 5/6   Answer:5/6
Answer: D
K and L start the business, with L investing the total capital of Rs. 40,000 on the condition that K pays L interest @ 8% per annum on his half of the capital. L is a working partner and receives Rs.1200 per month from the total profit and any profit reamaining is equally shared by both of them. At the end of the year, it was found that the income of L is twice that of K. Find the total profit for the year ?	Choose the correct choice
A) 46409 B) 46400 C) 46129 D) 46411 E) 41222

Solution: Interest received by L from K = 8% of half of Rs.40,000   = Rs.1600   Amount received by L per annum for being a working partner = 1200\small \times12 = Rs.14,400   Let 'A' be the part of remaing profit that 'L' receives as his share.   Total income of 'K' = only his share from the reamaing profit   = 'A', as both share equally.   Given income of L = Twice the income of K   Rightarrow (1600 + 14400 + A ) = 2A   Rightarrow A= Rs.16000   Thus total profit = 2A + Rs.14,400= 2(16000) + 14400   = 32000 +14400 = Rs.46,400.   Answer: 46400
Answer: B
A man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?	Select the correct option.
A) 8.2kmph
B) 9.0kmph
C) 7.0kmph
D) 6.5kmph
E) 7.2kmph

Solution: M = 7.5   S = 1.5   DS = 9   US = 6   AS = (2 * 9 * 6) /15= 
(2 * 9 * 6) /15 = 36/5 = around 7.2
7.2   Answer:7.2kmph
Answer: E
What is the median from the below series
90, 92, 93, 88, 95, 88, 97, 87, and 98 Select
A) 85
B) 89
C) 92
D) 98
E) 100

Solution: Ordering the data from least to greatest, we get:   87, 88, 88, 90, 92, 93, 95, 96, 98   The median score is 92.   92
Answer: C
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ? Choose the correct option:
A) 80feet
B) 70feet
C) 60feet
D) 50feet
E) 20feet

Solution: Explanation:   We are given with length and area, so we can find the breadth.   as Length * Breadth = 80feetrea   => 20 * Breadth = 600   => Breadth = 30 feet   80feetrea to be fenced = 2B + L = 2*30 + 20= 
2*30 + 20 = 80
80feet   80feetnswer: Option 80feet
Answer: A
The population of a town is 7600. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Choose the correct choice from the following answers: A) 9400 B) 8000 C) 8500 D) 9500 E) 10000

Solution: Formula :   ( 9400fter =100 denominator   9400go = 100 numerator)   7600 Ã— 100/90 Ã— 100/90 = 9382   9400)
Answer: A
A trader marks his books 30% more than the cost price. If he allows 30% discount, then find his gain or loss percent? Pick one.
A) 2% profit B) 2% loss C) 4% loss D) No profit No loss E) 9% loss

Solution: Let CP of an book = 100   MP of an book = 130   Discount 30 % on 130 = 39   SP of the book = 130 - 39= 
130 - 39 = 91
91   loss= 9%   Answer : 9% loss
Answer: E
A boat can move upstream at 33 kmph and downstream at 35 kmph, then the speed of the current is?
Choose one:
A) 1
B) 2
C) 7
D) 8
E) 9

Solution: US = 33   DS = 35   M = (35 - 33)/2= 
(35 - 33)/2 = 1
1   1nswer: 1
Answer: A
If a certain number is divided by 3, the quotient, dividend, and divisor, added together, will amount to 63. What is the number?  Choose the most appropriate option
A) 18  B) 28  C) 45  D) 38  E) 59

Solution: Let x = the number sought.   Then x/3 + x + 3 = 63.   And x = 45.   45
Answer: C
A contractor undertook to do a piece of work in 8 days. He employed certain number of laboures but 3 of them were absent from the very first day and the rest could finish the work in only 14 days. Find the number of men originally employed ?
Choose the correct choice from the following choices.
A) 6
B) 7.5
C) 5
D) 6
E) 7

Solution: Let the number of men originally employed be x.   8x = 14(x â€“ 3)   or x = 7   Answer 7
Answer: E
nd the area of trapezium whose parallel sides are 20 cm and 15 cm long, and the distance between them is 14 cm?	Choose one:
A) 230cm2
B) 245cm2
C) 255cm2
D) 260cm2
E) 280cm2

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 15) * (14)   = 245 cm2   Answer:245cm2
Answer: B
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money M did Bob receive?
Choose the correct choice from the following choices:	A) 20	B) 22	C) 24	D) 26	E) 52

Solution: Notice that we need not consider Ann's portion in the solution. We can just let K = the money REMAINING after Ann has received her portion and go from there.   Our equation will use the fact that, once we remove Bob's portion, we have $32 for Chloe.   So, we getK - Bob's $ = 32   Bob received 4 dollars plus one-third of what remained   Once Bob receives $4, the amount remaining is K-4 dollars. So, Bob gets a 1/3 of that as well.   1/3 of K-4 is (K-4)/3   So ALTOGETHER, 22ob receives4 + (K-4)/3   So, our equation becomes:K -[4 + (K-4)/3 ]= 32   Simplify to get: K - 4 - (K-4)/3 = 32   Multiply both sides by 3 to get: 3K - 12 - K + 4 = 96   Simplify: 2K - 8 = 96   Solve: K = 52   Plug this K-value intoK - 22ob's $ = 32to get: 52 - 22ob's $ = 32   So, 22ob's $ M= 20   Answer:   22
Answer: B
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :  Choose the correct choice.
A) Rs. 700 B) Rs. 690 C) Rs. 650 D) Rs. 698 E) Rs. 765

Solution: Explanation:   Simple Interest (SI) for 1 year = 854-815= 
854-815 = 39
39   Simple Interest (SI) for 3 years= 39 × 3 = 117   Principal = 815 - 117 = Rs.698   Answer: Option Rs. 698
Answer: D
A train ,140 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is Choose the correct choice:
A) 270 m  B) 245 m  C) 235 m  D) 220 m  E) 240 m

Solution: Explanation:   Assume the length of the bridge = x meter   Total distance covered = 140+x meter   total time taken = 30s   speed = Total distance covered /total time taken = (140+x)/30 m/s   => 45 Ã— (10/36) = (140+x)/30   => 45 Ã— 10 Ã— 30 /36 = 140+x   => 45 Ã— 10 Ã— 10 / 12 = 140+x   => 15 Ã— 10 Ã— 10 / 4 = 140+x   => 15 Ã— 25 = 140+x = 375   => x = 375-140= 
375-140 = 235
235   Answer: Option 235 m
Answer: C
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction C of the area of triangle ABC is the area of triangle XYZ?  Choose the correct choice from the following answers
A) 1/9 B) 1/8 C) 1/6 D) 1/5 E) 1/3

Solution: If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore   1/9rea of 1/9BC is 1/2*12*12 (Height of 1/9BC is the y coordinate of the third point (8,12))   similarly 1/9rea of XYZ is 1/2*4*4   dividing area of XYZ with that of 1/9BC gives C= 1/9.1/9
Answer: A
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?	Pick one: A) 1250 B) 1640 C) 1240 D) 1680 E) 1270

Solution: 8p4 = 8 x 7 x 6 × 5 = 1680   1680)
Answer: D
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Choose the correct choice:
A) 228
B) 267
C) 200
D) 750
E) 281

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750 .Answer: 750
Answer: D
If L = 775 × 778 × 781, what is the remainder when L is divided by 14? Choose the correct option.
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: L 775/14 leaves a remainder 5   778/14 leaves a remainder 8   781/14 leaves a remainder 11   5*8*11= 
5*8*11 = 440
440   So the remainder will be the remainder of 440/14 which is 6   6ns 6
Answer: A
Sum of two numbers prime to each other is 16 and their L.C.M. is 63. What are the numbers?  Answers: A) 9 and 10 B) 8 and 9 C) 11 and 5 D) 7 and 8 E) 7 and 9

Solution: As two numbers are prime, only options satisfy all   but option C will not make the product of numbers i.e 63   ANSW7 and 9R:7 and 9
Answer: E
Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days? Choose the correct choice from the following
A) 1/8
B) 1/3
C) 3/6
D) 3/8
E) 5/3

Solution: A's one day's work = 1/20   B's one day's work = 1/40   (A + B)'s one day's work = 1/20 + 1/40 = 3/40   The part of the work completed in 5 days = 5 (3/40) = 3/8.   Answer:3/8
Answer: D
Two friends A and B leave point A and point B simultaneously by bicycle and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long will B take to cover the entire journey between Point B and point A?
Choose the correct option.
A) 65  B) 70  C) 75  D) 80  E) 90

Solution: Let x per minute be the speed of A and y per minute be the speed of B.   After meeting at a point, A travels for 32 mins and B travels for 50 mins. So distance covered by each of them post point of crossing   A= 32x and B=50y   The distance covered by A and B before they cross each would be distance covered by B and A post crossing respectively.   Therefore distance covered by B before he meets A= 32x   Time taken by B cover 32x distance= 32x/y mins   Therefore total time taken by B= 32x/y + 50 mins ................. I   We need to find value of x in terms of y to arrive at final answer.   Total distance= 32x+50y   Combined speed of A and B= x+y   Therefore time taken before A and B meet en-route= (32x+50y)/(x+y)   Time taken by B reach destination after meeting A= 50 mins   Total travel time for B= [(32x+50y)/(x+y)]+50 mins ...................II   Equate I and II   32x/y+50= [(32x+50y)/(x+y)]+50   (32x+50y)/y=(82x+100y)/(x+y)   32x^2+50xy+32xy+50y^2=82xy+100y^2   32x^2+82xy-82xy+50y^2-100y^2=0   32x^2-50y^2=0   32x^2=50y^2   16x^2=25y^2   Taking square root.. (since x and y denote speed, square root can't be negative)   4x=5y   y=4x/5 ............ III   substitute in I   =32x/(4x/5) + 50   =32x*5/4x + 50   =40+50= 
40+50 = 90
90 mins   90
Answer: E
The division of a whole number N by 14 gives a quotient of 18 and a remainder of 2. Find N. Choose the correct answer:
A) 797  B) 254  C) 597  D) 997  E) 297

Solution: According to the division process of whole numbers, N can be written, using multiplication, as follows   N = quotient *divisor + remainder = 18* 14 + 2= 
18* 14 + 2 = 254
254 correc answer 254
Answer: B
If 2/3 of the air in a tank is removed with each stroke of a vacuum pump, how many strokes does it take before less than 1% of the original amount of air in the tank remains?	Choose the correct choice from the following.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: My approach is to find more or less good number and plug in. Lets take 90 as the total volume of an air, and the question asks after how many stokes there will be less than 0,9 air in a tank, if each stroke takes 2/3 of an air.   So after he1 strokethe volume will be 30 (90-60=30), and so on   2 stroke- 30-20=10   3 stroke- 10-6,7=3,3   4 stroke- 3,3-2,2=1,1   5 stroke- 1,1 - minus something that gets us less than 0,9 for sure. so the answer is: after 5 strokes there will be less than 1% of air left in a tank. Option5.
Answer: D
A man jumps into a river from a overbridge ,at the same time a hat drops in the river which flows with the stream of the water. That man travels 10 minute upstream and returns back where he was asked to catch the hat. He catches hat at a distance of 1000 yard down at a second bridge . Find the speed of the river.
Choose the most appropriate option:
A) 50 yards per minute
B) 40 yards per minute
C) 60 yards per minute
D) 55 yards per minute
E) 45 yards per minute

Solution: Suppose x is the distance travelled by the man in 10 min upstream.   Then   x/(v-u) = 10 where v is man's speed and u is river speed)   total time taken to swim by the man upstream and down stream is equal to the time taken by the hat to travel 1000 yards with the speed of river   1000/u = 10 + (x+1000)/(u+v)   now substitute x = 10(v-u) and simplify   we will get   100v = 2uv   means   2u = 100 and u = 50 yards per minute   50 yards per minuteNSWER:50 yards per minute
Answer: A
Two cars cover the same distance at the speed of 48 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.  Choose the correct choice from the following answers:
A) 87 B) 138 C) 192 D) 83 E) 93

Solution: Explanation:   48(x + 1) = 64x   X = 3   48 * 4= 
48 * 4 = 192
192 km   Answer: Option 192
Answer: C
total dinning bill of 5 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . Choose the most appropriate option
A) 32.84
B) 22.84
C) 30.58
D) 24.84
E) 30.84

Solution: dinner bill of 5 person = 139 + 10% tip   so,   10% of 139 = (139*10)/100= 
(139*10)/100 = 139/10 = around 13.9
13.9   So, the actual total amount= 139+13.9= 
139+13.9 = 152.9
$ 152.9   so per head bill= 152.9/5= 
152.9/5 = 30.58
$ 30.58   ANSWER:30.58
Answer: C