MU-NLPC/Calc-aqua_rat huggingface dataset:
Fesdus goes out cycling outdoors. He travels at an average speed of 3km/h, to the top of the hill where the midpoint of the trip is. Going down hill, Juan travels at an average speed of 9km/h. Which of the following is the closest approximation of Fesdus's average speed, in kilometers per hour, for the round trip?  Choose the correct choice from the following answers.
A) 4.2	B) 4.5	C) 7.6	D) 3.6	E) 2.2

Solution: Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 3 km/hour and 9 km/hour, using a multiple of both 3 and 9 would make the math easiest.   Let's set the Distance up the hill at 36 km.   So, going uphill, we have....   D = (R)(T)   36 = (3)(T)   36/3 = 13 = T   13 hours to go uphill   Going downhill, we have....   D = (R)(T)   36 = (9)(T)   36/9= 
36/9 = 4
4= T   4 hours to go downhill   Total Distance = 120 km   Total Time = 13+4= 
13+4 = 17
17 hours   4.2verage Speed= 72/17 = 4.2 km/hour   4.2
Answer: A
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A? Pick one
A) 1167 liters B) 1546 liters C) 8157 liters D) 1184 liters E) 1467 liters

Solution: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148= 3k + 148 => 2k = 296 => k = 148   The initial quantity of water in A = 8k = 8 * 148= 
8 * 148 = 1_184
1184 liters.   Answer: 1184 liters
Answer: D
A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all women?
Select the correct option:
A) 72	B) 68	C) 69	D) 82	E) 48

Solution: Since the order in which the group is selected does not matter, we are dealing with a combinations problem (and not a permutations problem).   The formula for combinations is:   N!/((N-K)!K!)   Where N = the total number of elements from which we will select, 8 people in this case.   Where K = the total number of elements to select, 4 people in this case.   The total number of combinations is therefore:   8!/((8-4)!4!) = 70   However, one of these combinations are not valid since they have all members of women   The correct answer is 70-1= 
70-1 = 69
69.Ans 69
Answer: C
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Choose the correct answer:
A) 2817  B) 2728  C) 1023  D) 1627  E) 1625

Solution: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.   Hence, the required number of ways = 45 - 1.   = 210 - 1 = 1024 - 1= 
1024 - 1 = 1_023
1023   Answer:1023
Answer: C
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/6 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?	Options
A) 18
B) 120
C) 175
D) 216
E) 250

Solution: Total paint initially = 360 gallons   Paint used in the first week = (1/6)*360= 
(1/6)*360 = 60
60 gallons.   Remaning paint= 300 gallons   Paint used in the second week = (1/5)*300= 
(1/5)*300 = 60
60 gallons   Total paint used= 120 gallons.   Option 120
Answer: B
In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good? Pick:
A) 1⁄55	B) 54⁄55	C) 45⁄55	D) 3⁄55	E) None of these

Solution: n(S) = 12C3 = 12×11×10 /3×2=2×11×10=220   No. of selection of 3 oranges out of the total 12 oranges   = 12C3 = 2 × 11 × 10 = 220   No. of selection of 3 bad oranges out of the total 4 bad oranges = 4C3 = 4   \n(E) = no. of desired selection of oranges   = 220 – 4 = 216   \ P(E) = n(E)/n(S)=216/220=54/55   Answer 54⁄55
Answer: B
In how many different number of ways 4 boys and 2 girls can sit on a bench? Choices:  A) 600  B) 640  C) 720  D) 740  E) 760

Solution: npn = n!   6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720   720)
Answer: C
The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Answers.
A) 10 kmph. B) 17 kmph. C) 18 kmph. D) 11 kmph. E) 20 kmph.

Solution: Speed of the boat in still water = (40+80)/2= 
(40+80)/2 = 60
60 kmph. Speed of the stream= (80-40)/2= 
(80-40)/2 = 20
20 kmph.   Answer:20 kmph.
Answer: E
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Pick one:
A) 88	B) 27	C) 23	D) 20	E) 27

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer:23
Answer: C
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 30,000 is made? Options.
A) 328897	B) 120000	C) 877888	D) 277768	E) 126000

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 30,000 is made = 96,000 + 30,000 = Rs. 1,26,000   Answer: 126000
Answer: E
How many multiples of 2 are there between 1 and 50, exclusive? Answers
A) 21
B) 22
C) 24
D) 26
E) 28

Solution: 24   multiples of 2 between 1 and 50 exclusive.   from 2 * 1 upto 2*24, (1,2,3,4,...,24). Hence, 24 multiples !   correct option is 24
Answer: C
What is the next number in the sequence below? 1 4 9 16 25 36 49 64 81 100 __ ?	Select the correct option:  A) 64  B) 46  C) 81  D) 100  E) 121

Solution: as the series of numbers are squares of numbers   1^2=1   2^2=4   3^2=9   and so on   therefore 11^2=121   ANSW121R:121
Answer: E
If 20% of a = b, then b% of 20 is the same as:	Choose the correct choice from the following choices
A) 4% of a
B) 5% of a
C) 20% of a
D) 10% of a
E) None of these

Solution: 20% of a = b   (20/100)a = b.   b% of 20 =(b/100)x 20=(20/100)a x	(1/100)x 20=(4/100)	a = 4% of a.   4% of answer:4% of a.
Answer: A
The ratios of areas of two squares, one having its diagonal double than the other is Options:
A) 4:7  B) 4:2  C) 4:0  D) 4:1  E) 4:6

Solution: Answer: 4:1) 4:1
Answer: D
The security gate at a storage facility requires a five-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be even, how many lock codes are possible?
Choose one:
A) 120	B) 240	C) 360	D) 720	E) 1440

Solution: X-X-X-X-X --> there are 3 even digits from 1 to 7, inclusive thus options for the first and the last X's are: 3-X-X-X-2. Other X's can take following values: 3-5-4-3-2 --> 3*5*4*3*2=360.   Answer: 360.
Answer: C
when W is divided by 13, the reminder is 0. if W is three more than it value and when divided by 11 its remainder is 0. what is the value of W ?  Choose the correct answer
A) 13 B) 52 C) 39 D) 26 E) 35

Solution: W is divided by 13 so that is multiple of 14 as 13,26,39...   W+3 is divided by 11 the remainder is 0 so it is divisible by 11. Consider from option let us take the number is 13 it is divisible by 14 but 13+3 is not divisible by 11 so it is not answers so let us take 2nd option 52 which is divisible by 13 and   52+3= 
  52+3 = 55
55 is divisible by 11 so ans is 52
Answer: B
Kunal walks 10 km towards North. From there he walks 6 Km towards South. Then, he walks 3 Km towards east. How far and in which direction is he with reference to his starting point ? Select:
A) 5 km north	B) 5 km south	C) 5 km east	D) 5 km north-east	E) 7 km south-east

Solution: Clearly, Kunal moves from A 10 Km northwards upto B, then moves 6 Km southwards upto C, turns towards east and moves 3 km upto D.   Then AC = (AB-BC) = 4 Km   So AD is 5 Km also with reference to starting point Kunal's direction is North-East.   ANSWER 5 km north-east
Answer: D
Find the fourth proportional to 22.8 , 36.2 and 40.8?
Choices:
A) 60.1
B) 65.86
C) 66.48
D) 64.78
E) 65.04

Solution: Formula= Fourth proportional =(b x c)/a   a=22.8 , b=36.2 and c=40.8   (36.2 x 40.8)/22.8=64.78   64.78
Answer: D
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school? Select the correct option:
A) 500  B) 600  C) 800  D) 900  E) 1200

Solution: Let total number of boys be x and total number of girls be y. y=400=>x = 600and^= I50=>y = 200 Now, x + y = 800   800
Answer: C
If x and y are integers, what is the least positive number of 24x+9y?	Select the correct option:
A) 1 B) 3 C) 4 D) 6 E) 9

Solution: 24x+9y = 3(8x+3y) which will be a minimum positive number when 8x+3y = 1.   8(-1) + 3(3) = 1   Then 3(8x+3y) can have a minimum positive value of 3.   The answer is 3.
Answer: B
Kanul spent $500 in buying raw materials, $400 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount? Choose the most appropriate option:
A) $1010 B) $1025 C) $1125 D) $1100 E) $1000

Solution: Let the total amount be x   then, (100-10)% of x = 500+400   90% of x = 900   90x/100 = 9000/9= 
9000/9 = 1_000
$1000   Answer is $1000
Answer: E
A ship can travel with aspeed of 10km/hr in still water. If the speed of the stream is 10km/hr, find the time taken by the boat to go 60km downstream.  Options.
A) 3 hrs	B) 5 hrs	C) 6 hrs	D) 7 hrs	E) 9 hrs

Solution: Speed downstream = (10 + 10) km/hr = 45 km/hr.   Time taken to travel 68 km downstream = 60/20= 
60/20 = 3
3 hrs.   3 hrs
Answer: A
Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Select
A) 20 hrs
B) 22 hrs
C) 23 hrs
D) 24 hrs
E) 21 hrs

Solution: 1/( 1/36 +1/45) = 180/9= 
180/9 = 20
20 hrs   20 hrsNSWER:20 hrs
Answer: A
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity R of the pool?
Choose the correct choice
A) 9000 cubic meters  B) 10500 cubic meters  C) 11750 cubic meters  D) 12000 cubic meters  E) 12500 cubic meters

Solution: D. 12000 cubic meters.   If both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in   (48*120)/(120-48)= 
  (48*120)/(120-48) = 80
80 minutes.   Now, if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120x and also 80 (x+50).   or, 120x= 80 (x + 50).   or x = 100.   Hence, the capacity of pool = 120x = 12000 cubic meters.
Answer: D
A boat can move upstream at 25 kmph and downstream at 45 kmph, then the speed of the current is? Answers:
A) 10 kmph B) 7 kmph C) 8 kmph D) 9 kmph E) 4 kmph

Solution: US = 25   DS = 45   M = (45 - 25)/2= 
(45 - 25)/2 = 10
10   10 kmphnswer:10 kmph
Answer: A
If f(x) = 2x + 3, & g(x) = (x - 3)/2, then what is the value of, fo(fo(go(go(fo(fo(go(go................(fo(fo(go(gof(x) )))).....)))))) ?  Choose the most appropriate option:
A) 3
B) 2
C) 9
D) 7
E) 1

Solution: f(x) = 2x + 3   g(x) = (x - 3)/2   gof(x) = 2x+3−32=x2x+3−32=x   gogof(x) = x−32x−32   fogogof(x) = 2(x−32)+32(x−32)+3 = 2x−6+622x−6+62 = x   fofogogof(x) = 2x + 3   This means, when we apply two times g(x) and two time f(x) on f(x) we get f(x). This pattern continues, Hence the answer is option (7).
Answer: D
If the price of petrol increases by 30, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? Select the correct option
A) 25%
B) 23%
C) 16.67%
D) 33.33%
E) None of these

Solution: Explanation :   let us assume before increase the petrol will be Rs. 100.   After increase it will be Rs (100+30) i.e 130.   Now, his consumption should be reduced to :-   =(130−100)/130 ∗ 100.   Hence, the consumption should be reduced to 23%.   Answer : 23%
Answer: B
Sam buys 10 apples for $1. At what price should he sell a dozen apples if he wishes to make a profit of 25%?  Choices:
A) $0.125
B) $1.25
C) $0.25
D) $1.5
E) $1.8

Solution: Explanatory Answer   The cost price of 1 apple = $1/10 or $0.10.   As Sam wishes to make a profit of 25%, his selling price per apple should be 0.10 + 25% of 0.10 = 0.1 + 0.025 = $0.125.   If the selling price of 1 apple is $0.125, the selling price of a dozen apples = 12 * 0.125= 
12 * 0.125 = 1.5
$1.5   Choice $1.5
Answer: D
The rate of a certain chemical reaction is directly proportional to the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 50 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.	Choose the correct choice:
A) 100 % decrease B) 50% decrease C) 40% decrease D) 30% increase E) 60% increase

Solution: Let's say here is the formula of how A and B affects the reaction speed:   rate = A/B   After the concentration B is increased by 50%, the percentage of B   become 1.5B, to keep 'rate' the same, need to have 1.5A.   Which means A increased by 50%   Answer : 50% decrease
Answer: B
Two numbers have a H.C.F of 11 and a product of two numbers is 1991. Find the L.C.M of the two numbers?  Pick one:  A) 140  B) 181  C) 160  D) 170  E) 180

Solution: L.C.M of two numbers is given by   (Product of the two numbers) / (H.C.F of the two numbers) = 1991/11= 
1991/11 = 181
181.   ANSWER:181
Answer: B
How many liters of water must be added to 14 liters of milk and water containing 10% water to make it 30% water?	Choose one
A) 1 liter B) 2 liters C) 3 liters D) 4 liters E) 5 liters

Solution: By rule of alligation:   30% - 10% = 20%   100% - 30% 30  - 10= 
30  - 10 = 20
20%   100% - 30% = 70%   Quantity of pure water : Quantity of the mixture  100  - 30= 
 100  - 30 = 70
70%   Quantity of pure water : Quantity of the mixture= 2 : 7   There are 14 liters of mixture, so we need to add 4 liters of pure water.   The answer is 4 liters.
Answer: D
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 10P pots?	Choose the correct choice:
A) M/10
B) 6/M
C) 600M
D) M/6
E) 10M

Solution: The time it takes to wash 10P pots is 10M minutes which is 10M / 60 = M/6 hours.   The answer is M/6.
Answer: D
The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 50,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?	Choose the correct choice from the following answers:
A) $ 280,000  B) $ 320,000  C) $ 360,000  D) $ 400,000  E) $ 540,000

Solution: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 50,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later?   The investment gets doubled in 70/p years. Therefore, the investment gets doubled in   70/5= 
  70/5 = 14
every 14 years. After 42 years, the investment will get doubled 42/14= 
42/14 = 3
3 times.   So the amount invested will get doubled thrice.   So, 50000 *2^3=400000   Hence, the answer is $ 400,000.
Answer: D
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 30% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? Choose the correct choice from the following options:  A) 1/2 m  B) 1/3 m  C) 1/4 m  D) 1/5 m  E) 1/6 m

Solution: After the final transaction:   Angela received $(m-n) for t hours;   Linda received $(m+n) for 1.5t hours;   We are told that after that transaction they received the same compensation per hour: (m-n)/t=(m+n)/1.5t --> 1.5m-1.5n=m+n -->m=5n --> n=m/3.   Answer: 1/3 m.
Answer: B
the distance between parallel sides of the hexagon is 9. determine the length of the hexagon
Choose the correct choice from the following choices:
A) 18*sqrt3
B) 18*sqrt2
C) 18*sqrt4
D) 19*sqrt3
E) 17*sqrt3

Solution: Length of each side of regular hexagon will be 3*sqrt3. total length ( perimeter) of regular hexagon will be 18*sqrt3   18*sqrt3NSWER:18*sqrt3
Answer: A
If the compound interest on a certain sum of money for 3 years at 10% per annum be Rs. 993, what would be the simple interest?
Pick one
A) Rs. 880	B) Rs. 890	C) Rs. 895	D) Rs. 900	E) None

Solution: Let P = Principal   A - Amount   We have a = P(1 + R/100)3 and CI = A - P   ATQ 993 = P(1 + R/100)3 - P   ? P = 3000/-   Now SI @ 10% on 3000/- for 3 yrs = (3000 x 10 x 3)/100   = 900/-   Answer: Rs. 900.
Answer: D
If 30% of a number is equal to one-third of another number, what is the ratio of first number to the second number ?	Choose the correct choice from the following choices:
A) 2:5
B) 3:7
C) 10:9
D) 7:3
E) None of these

Solution: Explanation :   Let 30% of A=1/3B   Then, 30A/100=1B/3   => 3A/10=B/3   => A:B= 10 : 9   Answer : 10:9
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? Choose one.
A) Rs. 8000 B) Rs. 7500 C) Rs. 7400 D) Rs. 7200 E) None of these

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
Find number which is 70% less than 60.  Options.
A) 18  B) 22  C) 28  D) 26  E) 98

Solution: Explanation:   70% less is 30% of the given number   Therefore, 30% of 60 is 18.   18NSWER: 18
Answer: A
If 10 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes	Choose the most appropriate option:
A) 41
B) 42
C) 43
D) 44
E) 45

Solution: n(n-1)/2 =10*9/2= 
10*9/2 = 45
45   ANSW45R:45
Answer: E
Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage W.
Choose the correct choice:	A) 16.8%	B) 17.4%	C) 17.9%	D) 18.5%	E) 19.1%

Solution: Given: Selling price of an Apple = 23 --> Cost price = 23/1.15= 
23/1.15 = 20
20   Selling price of an orange= 10 --> Cost price = 10/1.25= 
10/1.25 = 8
8   A > O   23*(A) + 10*(O)= 653   653 - 23*(A) has to be divisible by 10 --> Units digit has to be 0   Values of A can be 1, 11, 21, 31, .... --> 1 cannot be the value   17.4%etween 11 and 21, If A = 11, O = 30 --> Not possible   If A = 21, O = 17 --> Possible   Cost price = 20*21 + 8*17 = 420 + 136= 
420 + 136 = 556
556   Profit= 653 - 556= 
653 - 556 = 97
97   Profit% W= (97/556)*100 = 17.4%   Answer: 17.4%
Answer: B
If rupee one produces rupees nine over a period of 45 years, find the rate of simple interest?  Choices.
A) 22 1/7 % B) 22 3/2 % C) 22 1/8 % D) 20 % E) 22 1/2 %

Solution: 9 = (1*45*R)/100   R = 20 %   Answer:20 %
Answer: D
300 + 5 × 8 = ? Pick one:
A) 820
B) 340
C) 420
D) 209
E) None of these

Solution: 300 + 5 × 8 = ?   or, ? = 300 + 40= 
300 + 40 = 340
340   Answer 340
Answer: B
The first term in a sequence is 1 and the second term is 7. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence?  Choose the correct choice from the following options:
A) 2.5
B) 3
C) 4
D) 25
E) 100

Solution: The third term is 4 since this is the average of 1 and 7.   Then the next terms will all be 4 since the average stays at 4.   The answer is 4.
Answer: C
The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form?? Choose the correct option
A) 18  B) 28  C) 32  D) 56  E) 58

Solution: et no of sheep and horses are 4k and 7k   no of horses= 12880/230= 
12880/230 = 56
56   now 7K=56 and k=8   no of sheep=(4*8)= 
(4*8) = 32
32   ANSWER:32
Answer: C
There is a 20% chance that Ella will visit Finland this year, while there is a 70% chance that she will visit Mexico this year. What is the probability that Ella will visit either Finland or Mexico this year, but NOT both?	Choose the correct option
A) 58%	B) 60%	C) 62%	D) 64%	E) 66%

Solution: P(Finland but not Mexico)=0.2*0.3= 
0.2*0.3 = 0.06
0.06   P(Mexico but not Finland)=0.7*0.8= 
0.7*0.8 = 0.56
0.56   P(Finland or Mexico but not both)=0.06+0.56= 
0.06+0.56 = 0.62
0.62   The answer is 62%.
Answer: C
Jaclyn buys $10 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter  Options.
A) 237.5  B) 234  C) 289.5  D) 345  E) None of these

Solution: Explanation:   I=(p x r x t)/100   = 10000*9.5/100*(18/12)^1/6 = 237.5   237.5nswer: 237.5
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:  Pick:
A) 11:5	B) 3 : 2	C) 1:2	D) 3:5	E) 7:8

Solution: Answer: Option B   Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer: B
What sum of money will produce Rs.90 as simple interest in 4 years at 3 1/2 percent?
Choose the most appropriate option:
A) 263	B) 500	C) 367	D) 642.9	E) 339

Solution: 90 = (P*4*7/2)/100   P = 642.9   Answer: 642.9
Answer: D
The distance between Delhi and Mathura is 150 kms. A starts from Delhi with a speed of 25 kmph at 5 a.m. for Mathura and B starts from Mathura with a speed of 40 kmph at 6 p.m. from Delhi. When will they meet?	Choose the correct choice from the following choices: A) 11 B) 77 C) 8 D) 10 E) 12

Solution: D = 150 – 25 = 125   RS = 40 + 25= 
40 + 25 = 65
65   T= 125/65 = 2 hours   6 a.m. + 2 = 8 a.m..Answer: 8
Answer: C