MU-NLPC/Calc-aqua_rat huggingface dataset:
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 18percent sugar by weight. The second solution was what percent sugar by weight?  Pick.
A) 34%	B) 24%	C) 42%	D) 18%	E) 8.5%

Solution: Instead of using complex calculations and remembering formulae, why dont u directly get to weighted average.   3 parts of 10% + 1 part of x (unknown) % = 4 parts of 18%   => x% = 72%-30% = 42%   ans 42% it is.72 -30= 
72 -30 = 42
42%   ans 42% it is.
Answer: C
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 5 days and B leaves after 3 days from the beginning. How long will work lost?  Pick:	A) 2	B) 4	C) 5	D) 6	E) 7

Solution: 5/10 + 3/15 + x/20 = 1   x = 18/3= 
18/3 = 6
6   Answer: 6
Answer: D
How many plants will be there in a circular bed whose outer edge measure 33 cms, allowing 4 cm2 for each plant ?
Pick one.
A) 18	B) 750	C) 21	D) 120	E) None of these

Solution: 21ircumference of circular bed = 33 cm   Area of circular bed = (33)2â„4Ï€   Space for each plant = 4 cm2   âˆ´ Required number of plants   = (33)2â„4Ï€ Ã· 4 = 21.65 = 21(approx)   Answer 21
Answer: C
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how
many minutes does the bus stop per hour ?	Choose the correct option:
A) 8 minutes
B) 10 mintues
C) 12 minutes
D) 14 minutes
E) 15 minutes

Solution: Explanation:   Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = (9/54) hour   = (1/6)*60= 
(1/6)*60 = 10
10 minutes   Answer: 10 mintues
Answer: B
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 30%?	Choose the correct option:
A) 282
B) 229
C) 277
D) 308.75
E) 2812

Solution: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5   SP = CP[(100 + profit%)/100]   = 237.5 * [(100 + 30)/100] = Rs. 308.75.   Answer:308.75
Answer: D
In the xy-coordinate system, if (m, n) and (m + 4, n + k) are two points on the line with the equation x = 2y + 5, then k = Choose the correct choice from the following choices:
A) 1/2
B) 1
C) 2
D) 5/2
E) 4

Solution: Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +5 and m+4 =2 *(n+k)+5.   By 1st equation we have m-2n=5 and by 2nd equation m-2n = 2k+1 ---> 5=2k+1 --->k=2.   The answer is, therefore, (2).
Answer: C
Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.	Choose the most appropriate option.
A) 24  B) 34  C) 44  D) 54  E) 64

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   16 × N = 48 × 8   N = 48 × 8 / 16 = 24   correct answer 24
Answer: A
If a person buy radio worth Rs 2468 and pay 7% sales .how much price of radio should reduce to pay only Rs 2468.
Choose the correct choice.
A) 162  B) 158  C) 159  D) 130  E) 160

Solution: (x+.07x)=2468   1.07x=2468   x=2306   reduce=2468-2306= 
2468-2306 = 162
162   162NSWER:162
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choose the correct choice from the following
A) 250 B) 260 C) 270 D) 280 E) 290

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: Option 280
Answer: D
An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 2 ?	Pick one:
A) 1/9	B) 1/3	C) 1/2	D) 2/3	E) 5/6

Solution: n(n+1) to be divisible by 2 either n or n+1 must be a multiples of 2.   In each following group of numbers: {1, 2, 3}, {4, 5, 6}, {7, 8, 9}, ..., {97, 98, 99} there are EXACTLY 2 numbers out of 3 satisfying the above condition. For example in {1, 2, 3} n can be: 2, or 3. Thus, the overall probability is 2/3.   Answer: 2/3.
Answer: D
Jim drove 1096 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?	Choose the correct choice from the following options:
A) 104 miles B) 432 miles C) 456miles D) 887 miles E) 767 miles

Solution: The number of miles to drive to finish his journey is given by   1200 - 1096= 
1200 - 1096 = 104
104 miles   correct answer 104 miles
Answer: A
On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 6 cups of tea. Last week Mo drank a total of 22 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choose one
A) 0  B) 1  C) 4  D) 5  E) 6

Solution: T= the number of cups of tea   C= the number of cups of hot chocolate   T+C = 22 T-C=14 -> T= 18. C=2.   Mo drinks 6 cups of tea a day then number of days that are not rainy = 18/6= 
18/6 = 3
3   So number of rainy days= 7-3= 
7-3 = 4
4   4 is the answer.
Answer: C
Each week, Harry is paid x dollars per hour for the first 15 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?  Choose the correct option:	A) 33	B) 36	C) 37	D) 38	E) 39

Solution: 42x=15x+1.5x(H-15)   ==> 42=15+1.5(H-15)   ==> H-15 = 27/1.5= 
27/1.5 = 18
18==> H = 33   33nswer is 33
Answer: A
The average runs of a cricket player of 5 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 3? Pick one:  A) 12  B) 42  C) 44  D) 76  E) 84

Solution: Explanation:   Average after 6 innings = 23   Required number of runs = (24 * 6) – (20 * 5)   = 144 – 100 = 44   ANSWER 44
Answer: C
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?	Choose the correct choice from the following answers:	A) 1	B) 2	C) 6	D) 5	E) 7

Solution: Explanation:   Let the rate of interest be R% p.a.   17400[1 + R/100]2 = 17400 + 1783.50   [1 + R/100]2 = (17400 + 1783.50)/17400   = 1 + 1025/10000 = 1 + 41/400   = 441/400 = [21/20]2   [1 + R/100] = 21/20   R/100 = 1/20   Therefore R = 5   Answer:5
Answer: D
In a certain town, 80 percent of the registered voters are x and the rest are y. In a mayoral race, if 75 percent of the registered voters who are x and 20 percent of the registered voters who are y are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Choose the most appropriate option.
A) 64%  B) 53%  C) 54%  D) 55%  E) 57%

Solution: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.   80*0.75= 
80*0.75 = 60
60 Democrats are expected to vote for Candidate A;   20*0.20= 
20*0.20 = 4
4 Republicans are expected to vote for Candidate A.   Thus total of   60+4= 
  60+4 = 64
64 registered voters are expected to vote for Candidate A, which is 64% of the total number of registered voters.   64%nswer: 64%.
Answer: A
Zn = 2Zn-1 + 4 and Qn = 4Qn-1 + 8 for all n > 1. If Z5 = Q4 and Z7 = 316, what is the first value of n for which Qn is an integer? Choose the correct choice from the following options.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Assuming I have understood the symbols used correctly answer is 3- 3   Z7 = 2S6 +4 = 316   Z6 = 312/2= 
312/2 = 156
156= 2Z5 + 4   Z5 = 152/2= 
152/2 = 76
76= Q4   Q4 = 4Q3 + 8 = 76   Q3 = 68/4= 
68/4 = 17
17   Q3= 4Q2 + 8 = 17   Q2 = 9/4= 
9/4 = 9/4 = around 2.25
2.25   Q2= 4Q1 + 8   Q1 will not be integer
Answer: C
If a and b are different positive integers and a + b+2 = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b
Choose the correct choice from the following answers
A) I only
B) II only
C) III only
D) I and II
E) I and III

Solution: Number picking might not be the best way to solve MUST BE TRUE questions.   The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.   So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).   As forCOULD BE TRUEquestions:   The questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.   II only
Answer: B
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Select the correct option.
A) 8 : 2	B) 8 : 7	C) 8 : 3	D) 8 : 5	E) 8 : 76

Solution: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.   Let the dimensions of the carpet in the second case be 7y, 3y units respectively.   From the data,.   2(3x + 2x) = 2(7y + 3y)   => 5x = 10y   => x = 2y   Required ratio of the areas of the carpet in both the cases   = 3x * 2x : 7y : 3y   = 6x2 : 21y2   = 6 * (2y)2 : 21y2   = 6 * 4y2 : 21y2   = 8 : 7   Answer: Option 8 : 7
Answer: B
A shopkeeper sold an article offering a discount of 4% and earned a profit of 26%. What would have been the percentage of profit earned if no discount was offered?  Options
A) 24 B) 28 C) 31 D) 32 E) 34

Solution: Let C.P. be Rs. 100.   Then, S.P. = Rs. 126   Let marked price be Rs. x. Then, 96/100 x = 126   x = 12600/96 = Rs. 131.25   Now, S.P. = Rs. 131.25, C.P. = Rs. 100   Profit % = 31%.   ANSWER:31
Answer: C
Car A is 24 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?	Answers:
A) 1.5	B) 2.0	C) 2.5	D) 3.0	E) 4.0

Solution: Relative speed of car A is 58-50= 
58-50 = 8
8 miles per hour, to catch up 24 miles and drive 8 miles ahead so to drive 32 miles it'll need 32/8= 
32/8 = 4
4 hours.   Answer: 4.0.
Answer: E
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choose the correct choice from the following choices
A) 80,70 kmph
B) 80,40 kmph
C) 10,40 kmph
D) 80,80 kmph
E) 60,20 kmph

Solution: Speed downstream = 40 + 20= 
40 + 20 = 60
60 kmph   Speed upstream= 40 - 20= 
40 - 20 = 20
20 kmph   Answer: 60,20 kmph
Answer: E
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 160 kilometers?	Answers:
A) 8 gallons
B) 4 gallons
C) 6 gallons
D) 5.5 gallons
E) 10 gallons

Solution: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 160 kilometers?   160 / 40= 
160 / 40 = 4
4 * 1= 
4 * 1 = 4
4 gallons correct answer 4 gallons
Answer: B
If 240 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Pick one:
A) 16	B) 40	C) 20	D) 18	E) 22

Solution: Given ratio = 5 : 7 : 4 : 8 , sum of ratio = 24   :. The smallest part = (240 *4/24)= 
(240 *4/24) = 40
40   ANSWER:40
Answer: B
If x = 1- 3t and y = 2t - 3, then for what value of t does x = y?
Pick:
A) 5/2  B) 3/2  C) 2/3  D) 4/5  E) 0

Solution: We are given x = 1 – 3t and y = 2t – 3, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 3 for y in the equation x = y. This gives us:   1 – 3t = 2t – 3   4 = 5t   4/5 = t   The answer is 4/5.
Answer: D
Each of six different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?  Options.
A) 1/8  B) 1/36  C) 1/4  D) 3/8  E) 1/2

Solution: I was just going over probability questions.   can some one explain me what's wrong in my approach here.   Probability of choosing one right key out of 6 is 1/6.   Probability of choosing another right key is 1/6.   since the question is asking for 2 right keys , probability is multiplication of both = 1/6 * 1/6 = 1/36.   Ans 1/36
Answer: B
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions? Choose the correct answer:
A) 2/15*P  B) 3/5*P  C) 3/4*P  D) 5/6*P  E) 13/15*P

Solution: no of people polled who did not answer “yes” to both questions = P - no of people polled who answered “yes” to both questions   no of people who answered yes for the 2nd question = 1/3 * 2/5 * P = 2/15*P   no of people polled who did not answer “yes” to both questions = P - 2/15*P = 13/15*P   Hence, 13/15*P will be the answer.
Answer: E
A sum of 14,400 amounts to 16,600 in 3 years at the rate of simple interest. What is the rate of interest?  Choose the correct choice from the following answers: A) 2% B) 1% C) 6% D) 5% E) 8%

Solution: D   5%   S.I. = (16600 - 14400)= 
(16600 - 14400) = 2_200
2200.   Rate= (100 x 2200)/(14400x3)% = 5%
Answer: D
Jake took a bus from home to market, that travels at 10 kmph. While walking back at 2 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph. Find the average speed.
Choose the most appropriate option:
A) 1.17 kmph
B) 1.67 kmph
C) 0.69 kmph
D) 1.45 kmph
E) none of these

Solution: Let the distance be 2x(one way)   Time taken by bus = 2x/10, by walking =x/2, by cycling = x/50 hours   :. Average speed = Total Distance/Total time   = 2x / x/5 + x/2 + x/50   = 2 *60 / 12+30+1.2   = 1.67   ANSWER:1.67 kmph
Answer: B
Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?  Options:	A) 40	B) 80	C) 120	D) 160	E) 180

Solution: Lexy walks 5 miles from point A to point M in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?   Average speed = total distance/total time   We know the total distance is 5+5 (going from A to M then from M to A)   Time = distance/speed   Time = 5/15   Time = 1/3 hour   Average speed = (10)/(1hr + 1/3hr)   Average speed (lexi) = 10 / 1.33   Therefore, if Ben's average speed is 1/2 of lexi's then his speed = 10/2.66.   This means it took him 2.66 hours to cover the same 10 miles Lexi did. 2.66 hours = roughly 160 minutes.   Answer: D). 160
Answer: D
Which of the following MUST yield an integer when divided by 7? Choose the correct choice from the following
A) The sum of Seven consecutive positive integers.	B) The square of a prime number.	C) The sum of two odd integers.	D) The product of three consecutive odd numbers.	E) The difference between a multiple of 8 and a multiple of 3.

Solution: For option A: Let the numbers be (x-3), (x-2), (x-1), (x), (x+1), (x+2), (x+3).   Now, (x-3)+(x-2)+(x-1) + (x) + (x+1) + (x+2)+(x+3) = 7(x). Hence A is true. No need to check other answers since there can only be one correct answer.   So, The sum of Seven consecutive positive integers.ns(The sum of Seven consecutive positive integers.).
Answer: A
When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the un inspected garments must pass inspection in order that 80 percent of the garments in the shipment pass?  Choose the correct choice from the following
A) 6  B) 9  C) 8  D) 7  E) 5

Solution: B = 9   2/3x= 20   x=30   for 80% approval we need 24 garments approved.   already approved = 18   we need 6 more.   6nswer : 6
Answer: A
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of Options.
A) 5363	B) 6240	C) 2368	D) 1987	E) 2732

Solution: To obtain Rs. 10, investment   = Rs. 96.   To obtain Rs. 650, investment =   = Rs. 6240.   Answer: 6240
Answer: B
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?	Options
A) 671  B) 661  C) 673  D) 681  E) 693

Solution: When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.   The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.   Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671   671NSWER:671
Answer: A
George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 8% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?  Choose the correct choice from the following answers: A) 21 B) 30 C) 20 D) 16 E) 12

Solution: Let the amount of money be 200   Let cost of 1 Orange be 4   Let cost of 1 mango be 5   He decides to retain 8% of 200 = 16 for taxi fare, so he is left with 184   He buys 20 mangoes ( @ 5) so he spends 100   Money left is 84 (184 - 100)   No of oranges he can buy = 84/4= 
84/4 = 21
>21   So, George can buy 21 Oranges.   21
Answer: A
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?	Choose the correct answer.
A) 9 a.m. B) 10 a.m. C) 10.30 a.m. D) 11 a.m. E) 11.30 a.m.

Solution: Explanation:   Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   => 45x = 135   => x = 3.   So, they meet at 10 a.m.   ANSWER IS 10 a.m.
Answer: B
John want to buy a $100 Trouser at the store, but he think itâ€™s too expensive. Finally, it goes on sale for $50. What is the percent decrease?  Choose the correct choice from the following choices: A) 20% B) 30% C) 40% D) 50% E) 60%

Solution: The is always the difference between our starting and ending points. In this case, itâ€™s 100 â€“ 50 = 40. The â€œoriginalâ€ is our starting point; in this case, itâ€™s 100. (50/100)*100 = (0.5)*100= 
(0.5)*100 = 50
50%.   50%
Answer: D
If x/y =2/5, then (x-y)/x?
Select the correct option:  A) -1/2  B) -1/3  C) 1/3  D) -3/2  E) 5/2

Solution: we have this law of fraction:   a/b=c/d= (a-c)/(b-d)   x/y=2/5 ---> x/2=y/5= (x-y)/(2-5)=(x-y)/(-3) ---> (x-y)/x= -3/2   Answer: -3/2
Answer: D
A composer’s guild is planning its spring concert, and nine pieces have been submitted for consideration. The director of the guild knows that they will only have time to present two of them. If the pieces can be played in any order, how many combinations of pieces are possible?  Select:  A) 40  B) 21  C) 36  D) 54  E) 16

Solution: Combination question..   9C2 = 36..   IMO option 36 is correct..
Answer: C
A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train? Choose the correct choice from the following answers.
A) 125 m B) 150 m C) 187 m D) 167 m E) 197 m

Solution: Speed = 50 * 5/18 = 125/9 m/sec   Length of the train = speed * time = 125/9 * 9= 
125/9 * 9 = 125
125 m   125 mnswer: 125 m
Answer: A
A shopkeeper sold an article for 600 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Choices:
A) 25%
B) 30%
C) 23%
D) 50%
E) None of these

Solution: Cost price =600×100/120= 500   S.P. at no discount = 600×100/80 = 750   ∴ % profit = 250×100/500 = 50 %   Answer 50%
Answer: D
If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 105, which of the following could be x?  Options:
A) 40 B) 50 C) 60 D) 70 E) 80

Solution: The range of the other 8 numbers is 175-80= 
175-80 = 95
95, so x must be either the smallest number or the largest number in the set.   Then x= 175-105= 
175-105 = 70
70 or x= 80+105= 
80+105 = 185
185   The answer is 70.
Answer: D
The cost of 3 pens and 5 pencils is Rs.260. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens? Options:
A) Rs.200	B) Rs.250	C) Rs.300	D) Rs.780	E) None of these

Solution: Explanation:   Let the cost of one pen is ‘5x’ and pencil is ‘x’   3 X 5x + 5x = Rs.260   15x + 5x = Rs.260   X = 260/20= 
260/20 = 13
13   :. Cost of 1 pen= 5x = 5 x 13 = 65   :. Cost of 12 pens, i.e. (one dozen) = 65 x 12 = Rs.780   Answer: Option Rs.780
Answer: D
In 10 years, P will be as old as Q is now. Fifteen years ago, Q was twice as old as P was then. How old is P now?  Pick one:	A) 17	B) 18	C) 21	D) 25	E) 30

Solution: Q = P+10   Q-15 = 2(P-15)   P-5 = 2P-30   P = 25   The answer is 25.
Answer: D
A man can row downstream at the rate of 16 Km/hr and upstream at 8 Km/hr. Find man's rate in still water and the rate of current?	Choose the most appropriate option.
A) 12,4
B) 6,3
C) 9,3
D) 6,6
E) None of these

Solution: Explanation:   Rate of still water = 1/2 (16 + 8) = 12 Km/hr   Rate of current = 1/2 (16-8) = 4 Km/hr   12,4nswer: Option 12,4
Answer: A
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?  Choose one:
A) 1055  B) 1065  C) 1070  D) 1075  E) 1080

Solution: Cost of 8 kg grapes = 70 × 8 = 560.   Cost of 9 kg of mangoes = 55 × 9 = 490.   Total cost he has to pay = 560 + 490 = 1055   1055
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?  Choices:
A) 200 m B) 178 m C) 186 m D) 168 m E) 150 m

Solution: Speed = 60 * 5/18   = 50/3 m/sec   Length of the train   = speed * time   = 50/3 * 12= 
50/3 * 12 = 200
200 m   200 mnswer:200 m
Answer: A
Pipe A can fill a tank in 60 min . There is a second pipe in the bottom of the cistern to empty it. If all the two pipes are simultaneously opened, then the cistern is full in 180 min. In how much time, the second pipe alone can empty the cistern? Choose the correct choice from the following answers:
A) 60 min
B) 45 min
C) 90 min
D) 70 min
E) 30 min

Solution: Work done by the third pipe in 1 min = 1/180 - (1/60) = - 1/45.   [-ve sign means emptying]   The third pipe alone can empty the cistern in 45 min.   ANSWER:45 min
Answer: B
What is the dividend. divisor 15, the quotient is 9 and the remainder is 5? Pick one.
A) A)140 B) B)134 C) C)148 D) D)158 E) E)160

Solution: D = d * Q + R   D = 15 * 9 + 5   D = 135 + 5= 
135 + 5 = 140
140   140nswer 140
Answer: A
What is the Mode of the following data set M- {5,4,5,5,6,6,5,7,8,9}
Choices:
A) 5
B) 4
C) 6
D) 7
E) 9

Solution: Mode of a set is the data point that is repeated the most number of times. In the set given,5 is repeated   5nswer: 5
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?	Choose the correct option.
A) 350 m B) 490 m C) 115 m D) 210 m E) 150 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 21= 
50/3 * 21 = 350
350 m   350 mnswer: 350 m
Answer: A