MU-NLPC/Calc-aqua_rat huggingface dataset:
Two trains 120 meters and 150 meters long are running in the same direction with speeds of 92 km/hr, 56km/hr. In how much time will the first train cross the second Choose the most appropriate option
A) 37 sec  B) 22 sec  C) 27 sec  D) 35 sec  E) 36 sec

Solution: Explanation:   Relative speed of the trains = (92 - 56) km/hr = 36 km/hr   = (36× 5/18) m/sec = 10 m/sec.   Time taken by the trains to cross each other   = Time taken to cover (120 + 150) m at 10 m /sec = (270/10)= 
(270/10) = 27
27 sec.   Answer: Option 27 sec
Answer: C
Two trains of length 150 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?  Choose the correct choice from the following choices
A) 100/7 sec	B) 80/7 sec	C) 57/7 sec	D) 110/7 sec	E) 50/7 sec

Solution: Relative speed = (54 + 72)* 5/18 = 7 * 5= 
7 * 5 = 35
35 mps.   The time required= d/s = (150 + 100 + 300)/35   = 550/35 = 110/7 sec.   ANSWER:110/7 sec
Answer: D
1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item? Choose one.
A) 88.1  B) 89.0  C) 89.1  D) 89.5  E) 90.0

Solution: Option 2 = (90 - 9) + 0.1 * 81   = 81 + 8.1= 
81 + 8.1 = 89.1
89.10   Option 4= 90 + 0.2 * 90 - 10= 
90 + 0.2 * 90 - 10 = 98
98   So the OA is correct - 89.1
Answer: C
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?	Choose the correct choice from the following options:
A) 4/11
B) 1/2
C) 15/22
D) 144/17
E) 11/4

Solution: P1 takes 12 hrs   Rate for P2P3 together = 1/16 + 1/18 = 17/144   Therefore they take 144/17   Ratio = 144/17 = 144/17
Answer: D
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2376? Choose the correct choice.
A) 2277 B) 2400 C) 2200 D) 2766 E) 2998

Solution: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2376.   => (90%) of (110%) of x = Rs. 2376.   => (90/100)(110/100)x = 2376   => x = (2376 * 100)/(9 * 11)   => x = Rs. 2400   Answer: 2400
Answer: B
Three liquids were mixed in 5:4:1 ratios. If cost per kg for ach of them is 4.50,
3.75& 5.10. Then in what price mixture should be sold to get 25% profit?	Choose the correct choice from the following answers:
A) 52.25
B) 53.25
C) 54.25
D) 55.25
E) 56.25

Solution: cp of the liquid=5*4.50+4*3.75+1*5.10= 
5*4.50+4*3.75+1*5.10 = 42.6
42.6   In order to gain 25%profit   Sp=1.25*42.6= 
1.25*42.6 = 53.25
53.25   ANSWER:53.25
Answer: B
A committee is composed of w women and m men. If 4 women and 5 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by Choose the most appropriate option.
A) w/m B) w/(w+m) C) (w+4)/(m+5) D) (w+4)/(w+m+5) E) (w+4)/(w+m+9)

Solution: The number of women is w+4.   The total number of people is w+m+9.   P(a woman is selected) = (w+4) / (w+m+9)   The answer is (w+4)/(w+m+9).
Answer: E
Speed of trains A and B are 29 & 56 km/hr travelling in the same direction. Man in slower train passes in 16 min.
Find the length of the train.?	Answers:
A) 100 m  B) 110 m  C) 120 m  D) 220 m  E) 130 m

Solution: let length of 2 trains = 2x   Relative speed= 56-29= 
56-29 = 27
27 km/hr= (27*5)/18 m/sec   = 15/2 m/sec   so, 2x/16=15/2   2x=120   ANSWER:120 m
Answer: C
A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 18 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answers
A) 14 B) 16 C) 21 D) 32 E) 48

Solution: I treat such problems as work ones.   Work=Rate*Time   Mileage(m)=Rate(mpg)*Gallons(g)   X gallons is a full tank   {462=RX   {336=(R-18)X solve for R, R=66   66-18= 
66-18 = 48
48 mpg   48
Answer: E
In what ratio must tea worth Rs. 60 per kg be mixed with tea worth Rs. 65 a Kg such that by selling
the mixture at Rs. 68.20 a Kg ,there can be a gain 10%?
Options
A) 3 : 2 B) 2 : 3 C) 4 : 3 D) 3 : 4 E) None of these

Solution: Explanation :   Cost Price(CP) of 1 Kg mixture = Rs. 68.20   Profit = 10%   Cost Price(CP) of 1 Kg mixture= 100(100+Profit%)×SP=100(100+10)×68.20=100110×68.20=68211=Rs.62   By the rule of alligation:   CP of 1 kg tea of 1st kind CP of 1 kg tea of 2nd kind   60 65   Mean Price   62   65 - 62= 
65 - 62 = 3
3 62 - 60= 2   Hence required ratio = 3 : 2   3 : 2nswer : Option 3 : 2
Answer: A
The positive integer n is divisible by 16. If n√n is greater than 16, which of the following could be the value of n16?
Answers: A) 13 B) 14 C) 15 D) 16 E) 17

Solution: The positive integer n is divisible by 16   => n = 16k where k is a positive integer   Sqrt(n) > 16   => Sqrt (16k) > 16   => Sqrt (k) > 4   => k > 16   Therefore n/16 = k must be greater than 16. From the given options, it can only be 17. Option 17.
Answer: E
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following T must be true?
I. At least 50% of the numbers in Z are smaller than the median.
II. Less than 50% of the numbers in Z are greater than the median.
III. The median of Z is greater than the average of the largest and smallest numbers in Z.
Choose the correct choice from the following answers.
A) I only
B) II only
C) III only
D) I and III only
E) T=None of the above

Solution: Condition 3 can be invalidated by: (1, 3, 4, 5)--median is equal to average of 1 and 5 and average is greater than 3.   Then, don't conditions 1 and 2 have to occur simultaneously? I reasoned this based on the word... maybe that's incorrect.   Even if not, we can rule them both out. So, T=None of the above.
Answer: E
An error 2.5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is	Choose one:
A) 6.04% B) 5.14% C) 5.23% D) 5.0625% E) 5.5%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102.5 x 102.5) cm2.   (A2 - A1) = [(102.5)2 - (100)2]   = (102.5 + 100) x (102.5 - 100)   = 506.25 cm2.   Percentage error = 5.0625   5.0625%
Answer: D
Three unbiased coins are tossed. What is the probability of getting at most 2 heads?	Choose the correct answer.
A) 7/8	B) 5/8	C) 3/8	D) 7/5	E) 3/5

Solution: Here S={TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}   Let E=event of getting at least two heads ={TTT, TTH, THT, HTT, THH, HTH, HHT}   P(E) = n(E)/n(S) = 7/8.   7/8nswer 7/8.
Answer: A
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 878 in 4 years. The sum is:  Choose the correct choice from the following answers:
A) 500	B) 698	C) 626	D) 910	E) None

Solution: Sol.   S.I. for 1 year = Rs. (878 - 815) = Rs. 63.   S.I. for 3 years = Rs. (63 * 3) = Rs. 189.   âˆ´ Principal = Rs. (815 - 189) = Rs. 626   Answer 626
Answer: C
A car covers a distance of 630 km in 6 hours. Find its speed?
Choose the correct choice.
A) 105  B) 7778  C) 266  D) 288  E) 121

Solution: 624/6 = 105 kmph   105nswer:105
Answer: A
Express a speed of 90 kmph in meters per second?
Choose the correct choice from the following choices: A) 10 mps B) 76 mps C) 26 mps D) 97 mps E) 25 mps

Solution: 90 * 5/18= 
90 * 5/18 = 25
25 mps   Answer:25 mps
Answer: E
An article is sold at a profit of 14%. If both the cost price and selling price are Rs 132 less, the profit would be 12% more. Find the cost price. Choose the most appropriate option.
A) Rs276  B) Rs268  C) Rs266  D) Rs286  E) Rs296

Solution: Let cost price was X.   SP = X + 14% of X = 1.14X.   If CP and SP were Rs. 132 less, the profit would be (14 +12)%.   New, CP = ( X - 132)   SP = 1.14X - 132   SP - CP = 26% of (X - 132)   1.14X - 132 - X + 132 = [26*(X -132)]/100   0.14X * 100 = 26X – 3432   14X – 26X = - 3432   12X = 3432   X = 286.   So, CP was Rs 286.   ANSWER : OPTION Rs266
Answer: C
Roy is now 8 years older than Julia and half of that amount older than Kelly. If in 2 years, Roy will be three times as old as Julia, then in 2 years what would be Roy’s age multiplied by Kelly’s age?	Choose the correct choice from the following
A) 72  B) 84  C) 88  D) 96  E) 108

Solution: R = J+8 = K+4   R+2 = 3(J+2)   (J+8)+2 = 3J+6   J = 2   R = 10   K = 6   In 2 years (R+2)(K+2) = 12*8= 
12*8 = 96
96   The answer is 96.
Answer: D
Complete the sequence:
A D I P ?
Select the correct option:  A) M  B) C  C) S  D) D  E) Y

Solution: A+3=D   D+5=I   I+7=P   P+9=Y   Y
Answer: E
A couple spent $158.40 in total while dining out and paid this amount using a credit card. The $158.40 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
Choose the correct choice from the following answers:	A) $115	B) $120	C) $125	D) $130	E) $135

Solution: Let the price of the meal be x.   After a 10% sales tax addition, the price is 1.1*x   After a 20% tip on this amount, the total is 1.2*1.1*x = 1.32x   1.32x = 158.40   x = 120   The correct answer is $120.
Answer: B
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM? Choose the correct option:  A) 8 kmph  B) 9 kmph  C) 12 kmph  D) 14 kmph  E) 16 kmph

Solution: Let the distance travelled by x km.   Then, x - x = 2   10 15   3x - 2x = 60   x = 60 km.   Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.   10   So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.   Required speed = 60 kmph. = 12 kmph.   5   12 kmph
Answer: C
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 8 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?  Choose the correct choice from the following choices
A) 7/15 B) 11/25 C) 17/35 D) 23/45 E) 27/55

Solution: Tom paints 1/6 of the room in the first hour.   Tom and Peter paint 1/6+1/3 = 1/2 of the room in the next hour for a total of 4/6.   The three people then paint the remaining 2/6 in a time of (2/6) / (15/24) = 8/15 hours   Peter worked for 23/15 hours so he painted 23/15 * 1/3 = 23/45 of the room.   The answer is 23/45.
Answer: D
If Suresh distributes his pens in the ratio of 1/2 : 1/4 : 1/5 : 1/7 between his four friends A, B, C and D, then find the total number of pens Suresh should have?
Pick one:
A) 153
B) 156
C) 186
D) 158
E) 191

Solution: Here, A : B : C : D = 1 / 2 : 1 / 4 : 1 / 5 : 1 / 7   1) L.C.M of 2, 4, 5, 7 is 140   2) Find the number of pens each friend received --------- (To find no. of pens each friend has, multiply the ratio with the L.C.M. calculated)   A = (1/2) x 140 = 70   B = (1/4) x 140 = 35   C = (1/5) x 140 = 28   D = (1/7) x 140 = 20   3) Total number of pens = (70 x + 35 x + 28 x + 20 x) = 153 x   Minimum number of pens (x) = 1   Therefore, total number of pens = 153 pens.   Correct option :153
Answer: A
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 60 days to complete the same work. then Q alone can do it in Choose one:
A) 20
B) 24
C) 25
D) 27
E) 30

Solution: Work done by P and Q in 1 day = 1/10   Work done by R in 1 day = 1/60   Work done by P, Q and R in 1 day = 1/10 + 1/60 = 7/60   But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as Work done by P in 1 day Ã— 2 = 7/60   => Work done by P in 1 day = 7/120   => Work done by Q and R in 1 day = 7/120   Hence work done by Q in 1 day = 7/120 â€“ 1/60 = 1/24   So Q alone can do the work in 24 days   Answer is 24.
Answer: B
If a shopkeeper gets profit of 2% while selling a pair of shoes at $15. What is the cost price for that pair of shoes ?
Choose the correct choice from the following choices:
A) $14.60
B) $14.00
C) $14.50
D) $14.40
E) $14.70

Solution: Cost Price = ?   Profit % = 2   Selling Price = 15   Cost Price = 100 * Selling Price / (100 + profit %)   = 100 * 15 / (100 + 2)   = 14.70   Answer is $14.70
Answer: E
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 135 grams of water?	Choose the correct choice from the following answers.
A) 120 B) 116 C) 112 D) 108 E) 104

Solution: (16/18)*144 = 120 grams   The answer is 120.
Answer: A
What is 995*995?	Choose the correct choice:
A) 974,169	B) 974,219	C) 974,549	D) 985,019	E) 990,025

Solution: if you take a base of 1000 then 995 is 5 less than 1000   to get the product of 995 x 995 write like this   995- 5( as 5 less than base1000)   995- 5   now 5 x 5 = 25   and  995-5= 
 995-5 = 990
990   so 995 x 995= 990025 ... (bingo the answer is E . you can even have a shortcut ...... 5 x 5 = 25 ... only answer choice has last three digits as 25.. so no need to calculate 995-5 . after you get 5 x 5 you can straight way pick answer choice 990,025.
Answer: E
For the positive integers x, x + 2, x + 4, x + 7, and x + 17, the mean is how much greater than the median? Pick one:
A) 0
B) 1
C) 2
D) 4
E) 7

Solution: Mean = (x + x+2 + x+4 + x+7 + x+17)/5   =(5x+30)/5   =x+6   Median = x+4   Thus Mean - Median = x+6 - (x+4)   =2   Answer +6 - ( +4)= 
+6 - ( +4) = 2
2   Answer= 2
Answer: C
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices.
A) Rs.10569 B) Rs.10522 C) Rs.10,560 D) Rs.10533 E) Rs.10584

Solution: Let the rate of interest be R% p.a.   4400{[1 + R/100]2 - 1} = 11193.60   [1 + R/100]2 = (44000 + 11193.60)/44000   [1 + R/100]2 = 1 + 2544/1000 = 1 + 159/625   [1 + R/100]2 = 784/625 = (28/25)2   1 + R/100 = 28/25   R/100 = 3/25   Therefore R = 12 SI on Rs.44000 at 12% p.a. for two years = 44000(2)(12)/100   =Rs.10560   Answer:Rs.10,560
Answer: C
If the GCD of two numbers (both integers, greater than 1) is 1, then which of the following cannot be true?
A. They are prime.
B. They are consecutive.
C. They have a common prime factor.
D. They do not have a common factor other than 1.  Choose the correct choice from the following answers
A) Only A	B) Only B	C) Only C	D) Only B and C	E) A, B, C, and D

Solution: The GCD of two numbers (both integers, greater than 1) is 1 means that they don't share factors other than 1. This also means that they cannot be equal.   We can take examples :   A. They can be prime. Example: 5 and 7   B. They can be consecutive. Example: 4 and 5   C. They cannot have a common prime factor. The only common factor is 1, which by definition is not prime.   D. They do not have a common factor other than 1. This is defined in the question.   Therefore, only (Only C) cannot be true.
Answer: C
In how many ways can the letters {U, U, U, R, R} be arranged?
Options:
A) 10  B) 20  C) 120  D) 720  E) 840

Solution: There is 5! ways to arrange those letters in total, however letter U repeats 3! times and letter R repeats 2! times   => the way to arrange without repeating = 5!/ [3!x2!] = 10   answer : 10
Answer: A
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choose the correct choice from the following choices.
A) 33 1/8%	B) 33 3/3%	C) 33 1/3%	D) 39 1/3%	E) 33 4/3%

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   Answer:33 1/3%
Answer: C
The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F=120(2^-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 40 minutes after it was poured was how many degrees Fahrenheit? Choose the correct choice from the following answers.
A) 67.5 B) 75 C) 80 D) 85 E) 90

Solution: Answer: B   The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.   120 = 120(2 ^ 10a) + 60   2 ^ -1 = 2 ^ 10a   a = -1/10   The temperature of coffee 40 minutes after it was poured is:   F = 120 ( 2 ^ -40/10) + 60   F = 120 * 1/ 16 + 60   F = 15/2 + 60   F = 135/2= 
135/2 = 135/2 = around 67.5
67.5   67.5
Answer: A
Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,900, what were her annual sales?
Choose the correct choice from the following choices:
A) $ 20,000
B) $ 22,000
C) $ 24,000
D) $ 26,000
E) $ 28,000

Solution: Let x be the total sales in $.   For the 1st 11,000 you get 20% ---> 0.2*11000 = 2200$   For the remaining (x-11000) $, you get 30% ---> 0.3*(x-11000)   Thus, 0.3*(x-11000) + 2200 = 8900 ----> x= 26,000 $   $ 26,000 is thus the correct answer.
Answer: D
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes T, each draining water at the same constant rate, will be needed to drain the pool in 4 days?	Choose the correct option:	A) 6	B) 9	C) 10	D) 12	E) 15

Solution: This is an inverse proportional problem......   5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15   So, T=15-5 = 10.10
Answer: C
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?  Choices:
A) 245 B) 77 C) 88 D) 99 E) 22

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer: 88
Answer: C
Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book? Choose the correct choice from the following.
A) 229	B) 270	C) 877	D) 266	E) 281

Solution: Let xx be the total number of pages in the book, then she finished 23⋅x23⋅x pages.   Then she has x−23⋅x=13⋅xx−23⋅x=13⋅x pages left.   23⋅x−13⋅x=9023⋅x−13⋅x=90   13⋅x=9013⋅x=90   x=270x=270   So the book is 270 pages long.   Answer:270
Answer: B
By selling 16 pens for a rupee a woman loses 5%. How many for a rupee should he sell in order to gain 18%?	Options:
A) 12  B) 14  C) 45  D) 13  E) 65

Solution: 13   95% --- 16   118% --- ?   95/118 * 16 = 13
Answer: D
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 45 km/hr. For how many minutes does the bus stop per hour? Pick:
A) 15 B) 88 C) 77 D) 20 E) 99

Solution: In 1hr, the bus covers 60 km without stoppages and 45 km with stoppages.   Stoppage time = time take to travel (60 - 45) km i.e 15 km at 60 km/hr.   stoppage time = 15/60 hrs = 15 min.   15nswer: 15
Answer: A
If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be . Pick one.
A) 90 seconds  B) 70 seconds  C) 60 seconds  D) 100 seconds  E) 120 seconds

Solution: 2/3 filled in 1 mint   1/3 filled in 1/2 mint   thn 2/3+1/3= 
2/3+1/3 = 1
1 in mint 60 sec+30 sec=90 sec   90 secondsNSWER:90 seconds
Answer: A
John is traveling to a meeting that is 30 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Options:
A) 25 mph	B) 37 mph	C) 41 mph	D) 49 mph	E) 60 mph

Solution: Well 60mph. E. Time*rate=distance --> 0.5*rate=30 --> rate=60
Answer: E
If a apple costs c cents, how many apples can be bought for d dollars ?	Choose the most appropriate option:	A) 100acd	B) 100d/ac	C) ad/100c	D) c/100ad	E) 100ad/c

Solution: We can also solve the question using equivalent ratios.   Use the ratio number of apples/cost in DOLLARS   First, notice that c DOLLARS is 100 times more than c CENTS   So, if we can buy a apples for c cents, then we can buy 100a apples for c DOLLARS   Let x = the number of apples that we can by for d dollars   We can now set up two equivalent ratios.   100a/c = x/d   Cross-multiply to get: (100a)(d) = cx   Divide both sides by c to get: 100 ad/c = x   ANSW100ad/cR:100ad/c
Answer: E
What is the average of four tenths and three thousandths
Select the correct option.
A) 0.2022  B) 0.3325  C) 0.2015  D) 0.2012  E) 0.2114

Solution: Explanation:   Four tenths = 0.4   three thousandths = 0.003   The average is (0.4 + 0.003)/2= 
(0.4 + 0.003)/2 = 0.2015
0.2015   Answer: 0.2015
Answer: C
Awordis defined as a sequence of two dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?  Choose the correct choice from the following answers.
A) 3  B) 4  C) 6  D) 8  E) 9

Solution: Each dot can be either yellow or blue, so 2 options for each dot:   2*2= 
  2*2 = 4
4.   Answer: 4.
Answer: B
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 6840 km and comes back to the starting point. The total time taken by him is: Choose the correct choice from the following choices:
A) 914.2 hours
B) 900 hours
C) 915 hours
D) 868.6 hours
E) 915 hours

Solution: Explanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 6840/18 + 6840/14 = 380 + 488.6= 
380 + 488.6 = 868.6
868.6 hours   Answer: Option 868.6 hours
Answer: D
Rs.1775 is divided amongst A, B, C so that 5 times A's share, 3 times B's share and 7 times C's share are all equal. Find C's share?  Choose the correct answer:  A) 177  B) 150  C) 817  D) 716  E) 375

Solution: A+B+C = 5905A = 3B = 7C = xA:B:C = 1/5:1/3:1/7= 21:35:1515/71 * 1775= Rs.375Answer: 375
Answer: E
A no. x when divided by 221 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Choose the correct answer:
A) 1  B) 4  C) 9  D) 11  E) 13

Solution: 221 + 43= 
221 + 43 = 264
264/17= 9 (Remainder)   9
Answer: C
An article is bought for Rs.600 and sold for Rs.300, find the loss percent?	Choose the correct option:  A) 12%  B) 16%  C) 19%  D) 50%  E) 60%

Solution: 600 ----300   100 ---- ? => 50%   Answer: 50%
Answer: D
Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 5 hours. How many hours does it take machines A and B, working simultaneously, to produce 18k bottles?	Choose the correct choice from the following answers:
A) 28
B) 32
C) 36
D) 40
E) 44

Solution: A's rate = k/4   B's rate = k/5   k/4 + k/5 = 9k/20   18k / (9k/20) = 40 hours   The answer is 40.18  / (9 /20)= 
18  / (9 /20) = 40
40 hours   The answer is 40.
Answer: D
Find the constant k so that : -x2 - (k + 12)x - 8 = -(x - 2)(x - 4)  Options:
A) 11  B) 12  C) 18  D) 14  E) 15

Solution: -x2 - (k + 12)x - 8 = -(x - 2)(x - 4) : given   -x2 - (k + 12)x - 8 = -x2 + 6x - 8   -(k + 12) = 6 : two polynomials are equal if their corresponding coefficients are equal.   k = -18 : solve the above for k   correct answer 18
Answer: C
At the store, Sam bought a shirt and a toaster. There was a 4% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Pick one:  A) 0.96(K – T)  B) 0.96K – T  C) 0.96(K – 1.04T)  D) (K – T)/1.04  E) (K/1.04) – T

Solution: 1.04S + 1.04T = K   1.04S = K - 1.04T   S = (K/1.04) - T   The answer is (K/1.04) – T.
Answer: E