MU-NLPC/Calc-aqua_rat huggingface dataset:
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? Select the correct option
A) 10 a.m	B) 10 a.m	C) 90 a.m	D) 18 a.m	E) 20 a.m

Solution: D = 110 – 20 = 90   RS = 20 + 25= 
20 + 25 = 45
45   T= 90/45= 
90/45 = 2
2 hours   8 a.m. + 2= 10 a.m.   Answer:10 a.m
Answer: B
A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?	Select the correct option:
A) 8
B) 5
C) 4
D) 6
E) 3

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 28 --- (1)   and x - y = 16 --- (2)   From (1) & (2) 2x = 44 => x = 22, y = 6.   Answer:6
Answer: D
An auction house charges a commission of 18% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?	Choices.
A) $115,000 B) $160,000 C) $200,000 D) $240,000 E) $365,000

Solution: Say the price of the house was $x, then 0.18*50,000+0.1*(x-50,000)=24,000 --> x=$200,000 (18% of $50,000 plus 10% of the amount in excess of $50,000, which is x-50,000, should equal to total commission of $24,000).   Answer: $200,000.
Answer: C
A certain list of 200 test scores has an average (arithmetic mean) of 80 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ? Select the correct option.
A) 80 and 80
B) 80 and 85
C) 80 and 90
D) 85 and 85
E) 85 and 90

Solution: The standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.   So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.   According to the aboveadding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.   Closest to the mean are 80 and 80 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD most.   80 and 80nswer: a.
Answer: A
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is :	Choices:
A) 1 hr 16 min  B) 1 hr 17 min  C) 1 hr 18 min  D) 1 hr 19 min  E) None

Solution: Sol.   Let the distance travelled on foot be x km.   then, distance travelled on bicycle = (61 - x) km.   So, x/4 + (61-x)/9 = 9   ⇔ 9x + 4 (61 - x) = 9 * 36   ⇔ 5x = 80   ⇔ x = 16 km.   1 hr 16 minnswer 1 hr 16 min
Answer: A
A and B can do a piece of work in 4 days, B and C in 5 days, C and A in 6 days. How long will C take to do it?  Select the correct option
A) 140/11 days  B) 120/7 days  C) 100/13 days  D) 80/7 days  E) 60/7 days

Solution: 2c = 1/5 + 1/6 – 1/4 = 7/60   c = 7/120 => 120/7 days   The answer is 120/7 days.
Answer: B
A store has announced a 10% rebate for the entire day. If Amy only has Rs.500 in her pocket and needs Rs.20 to get back home, how many bottles of juice can she buy at the most from the store, with each juice costing Rs.50 before the discount?
Choose the correct option: A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Explanation:   Amy has 500 - 20= 
500 - 20 = 480
480 to spend.   Each juice costs 50 * (1 - 10%)= 50 * 0.90= 
50 * 0.90 = 45
45.   480 / 45= 10.67   Since you cannot buy juice in halves, Amy can buy 10 bottles at the most.   10orrect Option : 10
Answer: C
A grocer has a sale of Rs. 5700, Rs. 8550, Rs. 6855, Rs. 3850 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 7800?
Choose the correct choice from the following answers
A) s. 14991	B) s. 49930	C) s. 14045	D) s. 14999	E) s. 14578

Solution: Total sale for 4 months = Rs. (5700 + 8550+ 6855 + 3850 ) = Rs.24955   Required sale = Rs. [ (7800 x 5) - 24955 ]   = Rs. (39000 - 24955)   = Rs. 14045   Option s. 14045
Answer: C
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $2 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Pick.
A) 1 : 4 : 400
B) 1 : 2 : 200
C) 20 : 4 : 1
D) 100 : 4 : 1
E) 400 : 4 : 1

Solution: B.........M........Y   20.....0,20......Y   B.........2........1   What I did first was to turn 0.20 to 2 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:   1 : 2 : 200.........M........Y   200.....2.........Y   1 : 2 : 200........20......10   Then I multiplied every row by 20 (the LCM of 2 and 20), which led me to this:   1 : 2 : 200.........M........Y   2000...20.......10   Then I got rid of the extra zero, and in the correct order this is Y:M:1 : 2 : 200=1:2:200   ANS 1 : 2 : 200
Answer: B
A train 100 m long crosses a platform 200 m long in 15 sec; find the speed of the train?	Answers
A) 94 kmph	B) 58 kmph	C) 72 kmph	D) 94 kmph	E) 59 kmph

Solution: D = 100 + 200= 
100 + 200 = 300
300   T= 15   S = 300/15 * 18/5= 
300/15 * 18/5 = 72
72 kmph   Answer:72 kmph
Answer: C
Find the average of all prime numbers between 1 and 10	Choose the correct choice from the following answers.
A) 2.5  B) 1.35  C) 4.25  D) 6.12  E) 7.13

Solution: Prime numbers between 1 and 10 are 2,3,5,7   Required average = (2+3+5+7)/4 = 17/4= 
17/4 = 17/4 = around 4.25
4.25   Answer is 4.25
Answer: C
Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 13 songs, what are the chances that the third song he hears will be his favorite?  Choose the correct choice from the following answers
A) 1/13	B) 1/12	C) 1/11	D) 3/14	E) 1/3

Solution: The player plays the songs on the album at random, so there are 13 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.   Total outcomes ==> 13   Total positive outcomes ==> 1   Correct answer is 1/13) 1/13
Answer: A
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is  Choose the correct choice from the following answers.
A) 124345 m  B) 233234 m  C) 153600 m  D) 123567 m  E) 168999 m

Solution: Perimeter = Distance covered in 8 min. = 12000	x 8	m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
A person travels equal distances with speeds of 2km/hr, 4km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?	Choose the correct choice from the following options.
A) 1km
B) 500mts
C) 600mts
D) 2km
E) 250mts

Solution: Let the each distance be x km   total distance = 3x   then total time,   (x/2)+(x/4)+(x/6) = 11/60   x=0.2   total distance = 3*0.2= 
3*0.2 = 0.6
0.6km= 600meters   correct option is 600mts
Answer: C
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1400 per sq.metre.
Choose the correct choice from the following.
A) Rs. 15,000 B) Rs. 15,500 C) Rs. 15,600 D) Rs. 28,875 E) None

Solution: Solution   Area of the floor	= (5.5 x 3.75)m²   = 20.635m ²   Cost of paying	= Rs. (1400 x 20.625)   = Rs.28875.   Answer Rs. 28,875
Answer: D
The product of all the prime numbers less than 30 is closest to which of the following powers of 10?  Select:
A) 10^9	B) 10^8	C) 10^7	D) 10^6	E) 10^9

Solution: Quickly approximate   2, 3, 5, 7, 11, 13, 17, 19 ,23, 29   = 1*10^7 *2.3*2.9*10^9   =6.67*10^9   10^9
Answer: E
The difference between a number and its two-fifth is 510. What is 10% of that number?  Choose the correct choice from the following choices:  A) 19  B) 85  C) 77  D) 76  E) 78

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   10% of 850= 85.   Answer:85
Answer: B
In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 20 hours a day, the number of men required is:	Choose the most appropriate option.
A) 4  B) 5  C) 6  D) 8  E) 9

Solution: Explanation :   Let the required number of men be x.   Less days, More men (Indirect Proportion)   More working hrs per day, Less men (Indirect Proportion)   Days 8 : 10   Working Hrs 20 : 8 :: 12 : x   => 8 x 20 x x = 10 x 8 x 12   => x = 10 x 8 x 12 / (8 x 20)   => x = 6   Answer : 6
Answer: C
What is the greatest integer m for which the number 40!/10^m is an integer? Choose the correct option
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: 10^m = 2^m*5^m.   Let's figure out how many 5's are in the prime factorization of 40!   The multiples of 5 are: 5, 10, 15, 20, 5*5, 30, 35, 40.   Thus 5^9 will divide 40! but 5^10 will not.   Clearly 2^9 will divide 40!   So m=9 is the largest possible integer.   The answer is 9.
Answer: C
Find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?  Choose the correct choice from the following:
A) 10/20  B) 1/20  C) 8/20  D) 3/20  E) 7/20

Solution: Let X be the event of selecting a prime number.   X = {2, 3, 5, 7, 11, 13, 17, 19}   n(X) = 8,   n(S) = 20   Hence, the required probability is 8/20.   ANSWER:8/20
Answer: C
If m= (n-1)(n+2), then what is the least possible value of m?
Choose the correct choice from the following:
A) 3 B) -9/4 C) 2 D) 1 E) 0

Solution: Answer : -9/4
Answer: B
(786×74) ÷ ? = 2423.5	Choose the most appropriate option
A) A)24	B) B)48	C) C)58	D) D)68	E) E)48

Solution: Explanation:   58164/x = 2423.5 => x = 58164/2423.5= 
58164/2423.5 = 24
24   24nswer: Option 24
Answer: A
What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, 4096, x
Choose the correct option:
A) 2048 B) 2046 C) 2045 D) 2044 E) 2043

Solution: Go on dividing by 2 to the next number   2048nswer : 2048
Answer: A
The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 800 meters per second, what was the speed, in meters per second, when the stopwatch was started?  Choose the correct choice from the following choices
A) 25/3 B) 25/4 C) 25/8 D) 25/16 E) 25/32

Solution: Let x be the original speed when the stopwatch was started.   In 90 seconds, the speed doubled 9 times.   2^9 * x = 800   x = (2^5 * 25) / 2^9 = 25/16   The answer is 25/16.
Answer: D
A ball dropped from H height and moves 80% of height each time. Total distance covered is Choose the correct choice from the following choices:  A) 4H  B) 5H  C) 7H  D) 9H  E) 8H

Solution: First time distance is H   Second time 80H/100=4H/5   similarly third time 80%of 4H/5=H(4^2)/(5^2)   and so on...   this will lead to infinite terms of geometric progression   i.e   H+2*4H/5+2*16H/25............   sum = H+ 2*4H/(5(1-4/5))=9H   ANSWER:9H
Answer: D
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:	Options
A) 12 kg
B) 60 kg
C) 72 kg
D) 85 kg
E) 96 kg

Solution: Volume of water displaced	= (3 x 2 x 0.01) m3   = 0.06 m3.   Mass of man	= Volume of water displaced x Density of water   = (0.06 x 1000) kg   = 60 kg.   answer :60 kg
Answer: B
If each of 4 digit code is formed of integers from 1 to 50, inclusively, and each of the digits are different, how many possible codes are there? Choose the correct option
A) 5527200
B) 5586300
C) 5598600
D) 5547800
E) 2569800

Solution: Code consists of 4 digits and no digit is repeated.   First digit of the code can have 50 possibilities   Second digit can have 49 possibilities   Third digit can have 48 possibilities   fourth digit can have 47 possibilities   Total number of possible codes = 50*49*48*47= 
50*49*48*47 = 5_527_200
5527200   5527200nswer: 5527200
Answer: A
You have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.  Choose the correct choice:
A) 163  B) 166  C) 162  D) 164  E) 165

Solution: 67 + 52 + 47= 
67 + 52 + 47 = 166
166   Answer: 165
Answer: E
Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?  Choose one:
A) 1/7
B) 1/5
C) 1/4
D) 1/3
E) 3/7

Solution: 1 lbs of raisin = $1   4 lbs of raisin = $4   1 lbs of nuts = $3   4 lbs of nuts = $12   Total value of mixture = 12+4= 
12+4 = 16
16   Fraction of the value of raisin= 4/16 = 1/4   Ans:1/4
Answer: C
A gets 4 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
Select the correct option.
A) Rs.115.66 B) Rs.116.66 C) Rs.125 D) Rs.115 E) Rs.125.66

Solution: A+Rs.116.66+C = 675   A = 4Rs.116.66   4Rs.116.66+Rs.116.66+Rs.116.66-25 = 675   6Rs.116.66 = 700   Rs.116.66 = 116.66   ANSWER:Rs.116.66
Answer: B
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey? Pick
A) 60 mph  B) 56.67 mph  C) 53.33 mph  D) 64 mph  E) 66.67 mph

Solution: Answer   Average speed of travel = Total distance travelled/Total time taken   Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.   Distance covered in the first 2 hours = speed * time = 40 * 2= 
40 * 2 = 80
80 miles.   Distance covered in the next 3 hours= speed * time = 80 * 3= 
80 * 3 = 240
240 miles.   Therefore, total distance covered= 80 + 240= 
80 + 240 = 320
320 miles.   Total time taken= 2 + 3= 
2 + 3 = 5
5 hours.   Hence, average speed= Total distance travelled/Total time taken=320/5= 
320/5 = 64
64 miles per hour.   Choice 64 mph
Answer: D
A SHAM bought toy at 60 for a rupee. How many for a rupee must he sell to gain 20%?	Choose the correct choice from the following answers.
A) 7200  B) 200  C) 3000  D) 400  E) 540

Solution: C.P. of 60 toffees = Re. 10   S.P. of 60 toffees = 1200% of Re. 10 = Rs. 120   For Rs. 120, toffees sold = 60.   For Re. 10, toffees sold = 120*60= 
120*60 = 7_200
7200   7200nswer 7200
Answer: A
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?  Answers.
A) 60,87
B) 60,81
C) 60,88
D) 60,84
E) 60,89

Solution: (5x-25):(7x-25) = 35:59   x = 12 => 60,84   Answer:60,84
Answer: D
. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?  Choose the correct choice from the following choices
A) 17 1/8  B) 17 1/1  C) 17 1/7  D) 17 1/9  E) 17 1/2

Solution: Explanation:   1/20 + 1/30 - 1/40 = 7/120   120/7 = 17 1/7   Answer:17 1/7
Answer: C
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?  Choices:
A) 10 hours
B) 13 hours
C) 17 hours
D) 21 hours
E) 23 hours

Solution: Explanation:   We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as   Work done for 1 hour without leak = 1/3   Work done with leak =   3 1/2=7/2   Work done with leak in 1 hr= 2/7   Work done by leak in 1 hr =1/3−2/7=1/21   So tank will be empty by the leak in 21 hours.   Option 21 hours
Answer: D
Two numbers N and 16 have LCM = 52 and GCF = 8. Find N.	Choose the correct choice from the following choices
A) 35
B) 26
C) 76
D) 87
E) 24

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   16* N = 52 * 8   N = 52*8 / 16= 
52*8 / 16 = 26
26 correct answer 26
Answer: B
Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for q dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?	Answers.
A) x/(y - q)
B) x/(q - y)
C) x
D) x/q
E) x/y

Solution: Two ways...   1) let t be the total number, so cost = t*y+x and selling price=t*q..   No profit no loss....t*y+x=t*q.....T=x/(q-y)...   x/(q - y)
Answer: B
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was.  Choose the correct choice from the following choices:	A) Rs 14000	B) Rs 15000	C) Rs 16000	D) Rs 17000	E) None of these

Solution: Explanation:   S.I.=P∗R∗T/100   =>P=S.I.∗100/R∗T   =>P=5400∗100/12∗3=Rs15000   Option Rs 15000
Answer: B
If the area of a circle is 100pi square feet, find its circumference. Select the correct option
A) 65 pi feet
B) 20 pi feet
C) 42 pi feet
D) 18 pi feet
E) 64 pi feet

Solution: The area is given by pi * r * r. Hence   pi * r *r = 100 pi   r *r = 100 ; hence r = 10 feet   The circumference is given by   2 *pi *r = 2 * pi * 10 = 20 pi feet   correct answer 20 pi feet
Answer: B
A $500 investment and a $1,500 investment have a combined yearly return of 16 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?	Options.
A) 9%
B) 10%
C) 105/8%
D) 11%
E) 19%

Solution: The equation we can form the question :   Return on Total Investment = Sum of individual Investments   (500+1500)(16)=(500âˆ—7)+(1500x), where x is the return on investment of 1500.   Solving the equation, we get x = 19% ( Option 19% )	ANSW19%R:19%
Answer: E
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 9 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 9 questions did Zachary answer correctly? Choose the correct choice from the following answers.
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: i got two equations:   3x-2y=25   x+y=9   3x-2(9-x)=25   3x-18+2x=25   5x=43   x=8.6 or between 8 and 9. (ANS 8)
Answer: C
Let Q represent a set of three distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be? Choose the correct choice: A) 1 B) 2 C) 3 D) 5 E) 7

Solution: Q = p1+p2+p3= even (and all primes are distinct)   if the least prime is 2 then we have sum of Q = even.   Ans. B. 2
Answer: B
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 2 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
Pick one:	A) R-4	B) R/(R+4)	C) R/(R-4)	D) 8/(R-8)	E) 2R - 4

Solution: Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex.   In T hours Alex will cover 4T miles;   Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1);   We want the distance covered by Brenda to be twice as much as that of Alex: 2*2T=R(T-1) --> 4T=RT-R --> T=R/(R-4).   Answer: R/(R-4).
Answer: C
24 persons can manufacture 1000 soaps in 15 days, working 7 hours a day. In how many days will 18 persons, working 5 hours a day, manufacture the same 1000 soaps?  Choose the correct choice from the following answers.
A) 30	B) 28	C) 35	D) 14	E) 21

Solution: Explanation :   Solution: Let the required number of days be x.   Less persons, more days (Indirect proportion)   more working hrs per day, less days (indirect proportion)   persons 18 : 24   } : : 15 : x.   Working hrs per day, less days 5 : 7   .'. 18*5*x = 24*7*15 <=> x = 28.   Answer : 28
Answer: B
The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?	Choose the most appropriate option
A) 30 pi cc  B) 45 pi cc  C) 150 pi cc  D) 180 pi cc  E) 200 pi cc

Solution: r = 3 h = 5   Ï€ * 3 * 3 * 5 = 45 Ï€ cc   ANSWER 45 pi cc
Answer: B
Andrew went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice from the following
A) 19 B) 19.7 C) 21 D) 23 E) 25

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7)
Answer: B
Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?	Choices.
A) 0.5  B) 2  C) 3  D) 6  E) 6.1

Solution: 0.5 = P + I = 62500 + 5100= 
62500 + 5100 = 67_600
67600   67600= 62500(1 + 16/4*100)^(4t)   (676/625) = (104/100)^(4t)   (26/25)^2 = (26/25)^4t   t = 1/2 yrs   0.5nswer: 0.5
Answer: A
A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds?  Choose the correct choice from the following choices: A) 7 B) 8 C) 9 D) 10 E) 12

Solution: Lets assume there are 2X people.   Half of them have average weight of 180 and other half has 230.   Maximum Weight is = 2500   So 180*X + 230*X = 2500   => 410X = 2500   => X is approximately equal to 6.   So total people is  2*6= 
 2*6 = 12
12   Answer 12.
Answer: E
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?  Choose the correct choice from the following options
A) 6, 9 B) 10, 5 C) 7, 8 D) 9, 6 E) 8, 5

Solution: Explanation:   x + y = 15   2x – 3y = 5   x = 10 y = 5   ANSWER IS 10, 5
Answer: B
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. The length of the faster train is Choose the correct option:
A) 80 m B) 100 m C) 120 m D) 135 m E) None

Solution: Solution   Relative Speed	= (36 + 45) km/hr   = (81 x 5/18) m/sec   = (45/2) m/sec   Length of the train	= (45 / 2 x 6) m   = 135 m.   Answer 135 m
Answer: D
A number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
Choose the correct choice from the following choices
A) 160  B) 180  C) 200  D) 240  E) None

Solution: Answer   Let the number be N.   Then, (N/5) + 6 = (N/4) - 6   â‡’ (N/4) - (N/5) = 12   â‡’ (5N - 4N)/20 = 12   âˆ´ N = 240   Option: 240
Answer: D