MU-NLPC/Calc-aqua_rat huggingface dataset:
A contractor undertakes to built a walls in 50 days. He employs 40 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?  Choose the correct option.
A) 60
B) 30
C) 35
D) 20
E) None of these

Solution: 40 men complete 0.4 work in 25 days.   60pplying the work rule, m1 × d1 × w2 = m2 × d2 × w1   we have,   40 × 25 × 0.6 = m2 × 25 × 0.4   or m2 = 40×25×0.6/25×0.4 = 60 men   60nswer60
Answer: A
If (A+B) = 4, (B+C) = 8 and (C+D) = 3, what is the value of (A+D)?  Choose the correct choice from the following.
A) 16.	B) 8.	C) 7.	D) 2.	E) -1.

Solution: Given A+B = 4   B+C = 8   C+D = 3   Then (A+B)-(B+C)+(C+D)=4-8+3=-1   Option -1....
Answer: E
There are 2 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?  Options:
A) 10/16 B) 7/9 C) 4/16 D) 6/10 E) 4/10

Solution: w = m+2   w+m = 16   m+2+m = 16   2m = 14   m = 7   w = 9   ratio:7:9   Ans: 7/9
Answer: B
For which of the following functions is f(z) = f(−z) for all values of z ?
Pick one
A) f(x) = x^3 + 3  B) f(x) = −x  C) f(x) = 2x + 3  D) f(z) = −z^2 + 2  E) f(x) = 5x − 4

Solution: f(z) = f(−z)   The above is a property of an even function .   f(z) = f^(n)   f(z) = f(−z) will hold when n is an even integer .   The only case when z is even is option f(z) = −z^2 + 2   Answer f(z) = −z^2 + 2
Answer: D
How many more years will it take to get another Rs.420 compound interest, if Rs.210 doubled in 2 years when compounded annually.?	Select the correct option
A) 2 years  B) 3 years  C) 1 years  D) 4 years  E) 5 years

Solution: Explanatory Answer   Rs.210 invested in compound interest becomes Rs.220 in 2 years.   The amount will double again in another 2 years.   i.e., the amount will become Rs.240 in another 5 years.   So, to earn another Rs.220 interest, it will take another 2 years.   2 yearsnswer 2 years
Answer: A
A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 70 meters apart,then at what speed is the train traveling?	Choose the correct choice from the following options:
A) 100km/hr
B) 110km/hr
C) 50km/hr
D) 150km/hr
E) 210km/hr

Solution: Number of gaps between 51 telephone posts = 50   Distance traveled in 1 minute = 50*70= 
50*70 = 3_500
3500m= 3.5km   Speed = 60*3.5= 
60*3.5 = 210
210km/hr   Answer is 210km/hr
Answer: E
Amit and Meghna went to New York for a 63 day holiday .Each day ,Amit
spent as many as hundred dollar bills as the remaining number of days in the
trip (excluding the current day ) ,and Meghna spent as many as hundred
dollar bills as the number of days already spent (including current day).
How much per day would they have spent together during the holiday ?  Choose the correct choice from the following answers:
A) $12,600
B) $10000
C) $6300
D) $5000
E) $4000

Solution: amith total expense is 100*(62+61......+1) and meghana is 100*(1+2+....63).   tola is 100(62+61....+1+1+2+....63) which can also be written as 100(63)+100*2*(62+61....+1)   expense per day is ((100*63)+(200*(62+61+.....1))/63 which gives 6300 result   ANSWER:$6300
Answer: C
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol?
Choose the correct choice.
A) 7/2	B) 5	C) 20/3	D) 8	E) 300/17

Solution: 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.   If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.   According to the statement;   20+x = 32% of (100+x)   OR   20+x=(100+x)8/25   500+25x=800+8x   17x=300   x=300/17   Ans:300/17
Answer: E
If the value of a piece of home decreases by 10% while the new tax rate on the home represent 110% of the original tax rate, what is the effect on the taxes?
Select:  A) a - taxes increase by 10%  B) b- taxes increase by 1%  C) c- there is no change in taxes  D) d- taxes decrease by 1%  E) c- taxes decrease by 10%

Solution: Cansider the value of home = 100, Original tax rate 10%, hence tax value = 100*10% = 10.   Decreased value of home = 90, New tax rate = 110% of 10 = 11%, hence tax value = 90*11% = 9.9   10-9.9 = decrease by 1%.   Answer d- taxes decrease by 1%.
Answer: D
The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?	Choose the most appropriate option
A) 70 kmph	B) 92 kmph	C) 75 kmph	D) 65 kmph	E) 77 kmph

Solution: S = (80 + 60)/2= 
(80 + 60)/2 = 70
70 kmph   70 kmph
Answer: A
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 9 years?	Choose the correct choice from the following answers:
A) 1 : 3
B) 2 : 3
C) 1 : 2
D) 3 : 2
E) 5 : 9

Solution: Let the principal be P and rate of interest be R%.   Required ratio =   (P x R x 5)/100 DIVIDED BY	(P x R x 9)/100   =	5PR/9PR	=	5/9	= 5 : 9.   ANSW5 : 9R : 5 : 9
Answer: E
A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 74 km downstream Choose the correct choice from the following answers:
A) 1 hour 40 min	B) 2 hour 40 min	C) 1 hour 25 min	D) 1 hour 30 min	E) 1 hour 50 min

Solution: Speed of the boat in still water = 42 km/hr   speed of the stream = 10 km/hr   Speed downstream = (42+10)= 
(42+10) = 52
52 km/hr   Distance travelled downstream= 74 km   Time taken =distance/speed   =74/52   = 1.42 hours   = 1 hour 25 min.   ANSWER:1 hour 25 min
Answer: C
Solve for x: 2x â€“ y = (3/4)x + 3.
Choose one
A) (y + 6)/5 B) 4(y + 3)/5 C) (y + 6) D) 4(y - 6)/5 E) 5/4(y-6)

Solution: Solution:   2x â€“ y = (3/4)x + 3.   or, 2x - (3/4)x = y + 3.   or, (8x -3x)/4 = y + 3.   or, 5x/4 = y + 3.   or, 5x = 4(y + 3).   or, 5x = 4y + 12.   or, x = (4y + 12)/5.   Therefore, x = 4(y + 3)/5.   correct answer 4(y + 3)/5
Answer: B
How many minutes does it take John to type a words if he types at the rate of b words per minute? Choose one:
A) b/a
B) a/b
C) ab
D) 60a/b
E) b/(60a)

Solution: time*rate=job --> time*b=a --> time=a/b.   Answer: a/b.
Answer: B
The sum of three consecutive even numbers is 36, Find the first number?	Answers:  A) 21  B) 18  C) 12  D) 16  E) 10

Solution: Let the first number be n   Let the second number be n + 2   Let the third number be n + 4   n + n + 2 + n + 4 = 36   Combine like terms:   3n + 6 = 36   3n = 36 - 6   3n = 30   3n = 30   n = 10   n + 2 = 12   n + 4 = 16   The first number is 10   Answer: 10
Answer: E
Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?	Select.
A) 2	B) 2 1/4	C) 11 8/2	D) 4 1/2	E) 5

Solution: Work hrs=AB/(A+B)= 30/11 =11 8/2   Answer is 11 8/2
Answer: C
An empty pool being filled with water at a constant rate takes 6 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?  Choose the most appropriate option
A) 5 hr 30 min	B) 5 hr 20 min	C) 4 hr 00 min	D) 3 hr 12 min	E) 2 hr 40 min

Solution: (3/5) of a pool/ 6 hours = 3/30 = 1/10 (the rate)   (1 pools/10 hours) = (2/5* pool)/ x hours   4 hr 00 minross multiply x = (2/5) 10   x = 4   4 hr 00 min
Answer: C
Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?  Pick one
A) 100
B) 126
C) 172
D) 178
E) 155

Solution: 178   178   This is an alternating division and addition series: First, divide by 2, and then add 8.
Answer: D
The average age of a class of 23 students is 22 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?  Choose the correct choice from the following: A) 40 B) 41 C) 46 D) 42 E) 49

Solution: Total age of all students =23Ã—22   Total age of all students + Age of the teacher =24Ã—23   Age of the teacher   =24Ã—23âˆ’23Ã—22=23(24âˆ’22)=23Ã—2=46   Answer is 46.
Answer: C
A train passes a station platform in 36 sec and a man standing on the platform in 22 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Select the correct option:
A) 767 m  B) 210 m  C) 187 m  D) 176 m  E) 186 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 22= 
15 * 22 = 330
330 m.   Let the length of the platform be x m . Then,   (x + 330)/36= 15 => x = 210 m.   Answer:210 m
Answer: B
Rates for having a manuscript typed at a certain typing service are $6 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 30 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?  Choose the correct choice from the following options:  A) $690  B) $620  C) $650  D) $640  E) $770

Solution: For 100-30-10= 
100-30-10 = 60
60 pages only cost is 6$ per page for the first time page is typed - 60*5=300$;   For 30 pages the cost is: first time 6$ + 3$ of the first revision - 30*(6+3)=270$;   For 10 pages the cost is: first time 5$ + 3$ of the first revision + 3$ of the second revision - 10(6+3+3)=120$;   Total: 300+270+120= 
300+270+120 = 690
690$.   $690nswer: $690.
Answer: A
Rahim bought 55 books for Rs.1500 from one shop and 60 books for Rs.340 from another. What is the average price he paid per book ?	Choose the correct choice from the following choices: A) s.17 B) s.18 C) s.16 D) s.11 E) s.10

Solution: Average price per book   = (1500+ 340) / (55+ 60) = 1840/ 115   = Rs.16   Answer:s.16
Answer: C
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder	Answers
A) 1254	B) 1376	C) 1456	D) 1555	E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
A merchant marks his goods up by 30% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
Choose the correct choice from the following:
A) 17%
B) 25%
C) 69%
D) 31%
E) 19%

Solution: Let the price be 100.   The price becomes 130 after a 30% markup.   Now a discount of 10% on 130.   Profit=117-100   17%   answer 17%
Answer: A
How many integers between 10 and 100 are there such that their unit digit is odd?	Choose the correct choice:
A) 45 B) 50 C) 30 D) 60 E) 55

Solution: 90 numbers between - 10 and 100   Out of which half would be even, half odd.   Number of odd unit digit number = 45.   correct option is 45
Answer: A
If a,b ,and c are positive real numbers such that a(b+c) = 152, b(c+a) =162 , and c(a+b) = 170, then abc is
Choose the correct choice from the following answers
A) a) 672 B) b) 688 C) c) 704 D) d) 720 E) e) 750

Solution: ab+bc = 152 --------------------------------------1)   bc+ba = 162---------------------------------------2)   ac+ab = 170---------------------------------------3)   Re-writing equation 3 as follows:   ac+cb = 162 + 8   ac+cb = bc+ba + 8   ac = ba + 8 ............... (4)   Adding (1)(4)   2ac = 160   ac= 80   abc has to be multiple of 80, only 720 fits in   Answer = d) 720
Answer: D
Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?  Options.
A) 92 sec  B) 70 sec  C) 90 sec  D) 89 sec  E) 60 sec

Solution: C   90 sec   Let the length of each train be x m.   (x + x) / (60 + 30)5/18 = (750 * 18) / (30 * 5)= 
(750 * 18) / (30 * 5) = 90
90 sec.
Answer: C
During a sale of 30% on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies. The store still makes a profit of 12% on this sale. What is the mark up percentage on each candy? Choose the correct choice from the following answers:
A) 100%
B) 80%
C) 75%
D) 66+2/3%
E) 55%

Solution: Hi Akhil, I can share the way I solved it..   Let's say Marked price = M   So, there's a discount of 20% on M So, new S.P. = 80% of M   Now, the child convinces the owner to sell 20 candies for the price of 14 candies .   Let's say each candy after discount is 1$. So, S.P. of 20 candies = 20$. THe child bought it for 14 $ So, he got a discount of  6/20 *100= 
 6/20 *100 = 30
30%   So, the latest S.P.= 70% of 80% of M = 0.7* 0.8 M   Now, we are given that the shopkeeper still makes a profit of 12%. So we have ,   0.7 * 0.8 * M = 1.12 C.P   So, we get, M= 2 C.P.   i.e. Marked price was kept 100% above C.P.   80%
Answer: B
Average of six numbers is 30, and the sum of three of the numbers is 99, wat is the average of the other 3 numbers?
Pick
A) 27	B) 34	C) 29	D) 35	E) 33

Solution: Let the six numbers be a, b, c, d, e,f. Then their average is (a+b+c+d+e+f)/6=30a+b+c=99(99+d+e+f)/6=3099+d+e+f=180d+e+f=81average=81/3= 
81/3 = 27
2727ns 27
Answer: A
For integers a, b, and c, if ab = bc, then which of the following must also be true? Choose the correct answer
A) A=C	B) A^2*b=b*c^2	C) A/c=1	D) ABC>bc	E) ba+b+c=0

Solution: ab=bc   ab=bc --> ab−bc=0.   A. If b−bc=0 then b(a−c)=0 and b(a−c)=0 then b=0 or a=ca.   B. If a^2*b=b*c^2 then b(a2−c2)=b(a2−c2)=0= b(a−c)(a+c)=0   C. If b(a−c)(a+c)=0. Now, since b=0b=0or a=c=a=c,then b(a−c). If (a+c)=b(a−c)(a+c) does equal to zero. So, we have that this options must be true.   Answer: A^2*b=b*c^2.
Answer: B
Ayesha's father was 45 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choose the correct choice from the following
A) 2 years B) 15 years C) 6 years D) 7 years E) 6 years

Solution: Explanation:   Mother's age when Ayesha's brother was born = 34 years.   Father's age when Ayesha's brother was born = (45 + 4)= 
(45 + 4) = 49
49 years.   Required difference= (49 - 34)= 
(49 - 34) = 15
15 years.   Answer: Option 15 years
Answer: B
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?	Pick one.
A) 27 sec  B) 17 sec  C) 48 sec  D) 96 sec  E) 17 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer:48 sec
Answer: C
Each truck from Dolphin Removal Company can haul 800 pounds of trash at a time.
On Wednesday the company has jobs to remove 2400 pounds of trash from one
site, 3200 from another site, and 4800 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?
Choose the correct choice
A) 5500 lbs.-2 Trips  B) 4500 lbs.-9 Trips  C) 2500 lbs.-3 Trips  D) 10400 lbs.-13 Trips  E) 6500 lbs.-8 Trips

Solution: Total trash =2400+3200+4800= 
2400+3200+4800 = 10_400
10400   No. of trips= 10400/800= 
10400/800 = 13
13   Answer : 10400 lbs.-13 Trips
Answer: D
If it takes 6 identical printing presses exactly 4 hours R to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers? Choose the correct choice from the following.
A) 3 hours, 20 minutes
B) 4 hours, 20 minutes
C) 4 hours, 48 minutes
D) 5 hours, 48 minutes
E) 6 hours, 50 minutes

Solution: 6 presses - 5,000 newspapers - 4 hours ;   3 presses - 2,500 newspapers - 4 hours ;   3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = R.   Answer: 4 hours, 48 minutes.
Answer: C
In the given series find the number which is wrong.
215,28,63,126,7,343
Select
A) 215
B) 28
C) 126
D) 343
E) 625

Solution: 215=6*6*6-1   28=3*3*3+1   63=4*4*4-1   126=5*5*5+1   7=2*2*2-1   343 should be   7*7*7+1= 
  7*7*7+1 = 344
344 but it is 343   ANSWER:343
Answer: D
What is the average (arithmetic mean) of all the multiples of ten from 10 to 80 inclusive? Choose the correct choice from the following answers:
A) 20
B) 45
C) 100
D) 105
E) 110

Solution: The multiples of ten from 10 to 80 inclusive would be an evenly spaced set with 8 terms - 10, 20, 30,.......80   So average = (First term + Last Term)/2 = (10 + 80)/2 = 90/2= 
90/2 = 45
45   Hence, the correct answer is 45.
Answer: B
5, 10, 13, 26, 29, 58, 61, (....)  Answers:
A) 128
B) 64
C) 122
D) 125
E) 130

Solution: Numbers are alternatively multiplied by 2 and increased by 3   5 Ã— 2 = 10   10 + 3= 
10 + 3 = 13
13   13 Ã— 2= 26   26 + 3= 
26 + 3 = 29
29   29 Ã— 2= 58   58 + 3= 
58 + 3 = 61
61   61 Ã— 2= 122   ANSWER 122
Answer: C
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?	Choices:
A) 2522 B) 1758 C) 1578 D) 1289 E) 2689

Solution: A = 1600(21/20)3   = 2522   Answer: 1578
Answer: C
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 90 kmph. In how much time will the trains cross each other?	Options:
A) 10 sec B) 11 sec C) 12 sec D) 60/7 sec E) 90/7 sec

Solution: A   Relative speed = (54 + 90)* 5/18 = 8 * 5= 
8 * 5 = 40
40 mps.   The time required= d/s = (100 + 100 + 200)/35   = 400/40= 
400/40 = 10
10 sec.
Answer: A
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 13 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice
A) 18/79 B) 1/6 C) 1/60 D) 1/50 E) 1/900

Solution: Everything is correct except that you assumed the letters can't be repeated. It can be repeated.   AA   BB   CC   AB, AC, BC, BA, CA, CB.   Thus; total government vehicles = (10)^2*(3)^2 = 100*9= 
100*9 = 900
900   Vehicles inspected within 3 hours= 60*3/13 = 15   P = 15/900 = 1/60   Ans:1/60
Answer: C
10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work? Choose the correct choice from the following answers:
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Explanation :   Work done by 10 men in 1 day = 1/7   Work done by 1 man in 1 day = (1/7)/10 = 1/70   Work done by 10 women in 1 day = 1/14   Work done by 1 woman in 1 day = 1/140   Work done by 5 men and 10 women in 1 day = 5 × (1/70) + 10 × (1/140)   = 5/70 + 10/140 = 1/7   => 5 men and 10 women can complete the work in 7 days   Answer : Option 7
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 15 sec. What is the length of the goods train?
Pick
A) 299	B) 277	C) 276	D) 270	E) 50

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 15 sec.   Let the length of the train be x meters.   Then, (x + 250)/15 = 20   x = 50 m.   Answer: 50
Answer: E
Find the number of trailing zeros in the product of (1^1)*(5^5)*(10^10)*(15^15) *(20^20)*(25^25)………. *(50^50).	Select:  A) 150  B) 200  C) 250  D) 245  E) 225

Solution: Looking at the numbers it looks like   (1x5)^5   (2x5)^10   ...   (10x5)^50   1. Determine the limiting factor. Is it 2 or is it 5? We know that all the numbers are multiple of 5 but not of 2. Thus, the limiting factor in this case is 2. Let's drop all the 5. Then, we count factors of 2 of even multiples.   2^10 = 10   4^20 = 20 + 20   6^30 = 30   8^40 = 40 + 40 + 40   10^50 = 50   250   Answer: 250
Answer: C
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most	Choose the correct option
A) 276
B) 728
C) 215
D) 701
E) 217

Solution: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6= 
6 * 6 * 6 = 216
216. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 216 - 1= 
216 - 1 = 215
215.   Answer:215
Answer: C
0.6 of a number is equal to 0.08 of another number. The ratio of the numbers will be
Select the correct option:
A) 3:4 B) 4:3 C) 2:15 D) 2:9 E) 3:8

Solution: Let the numbers be X and Y   0.6X = 0.08Y => X/Y = 0.08/0.6 = 2:15   Answer 2:15.
Answer: C
Which of the following is closer to (5!+4!)/(5!-4!)? Choices:
A) 1	B) 9	C) 12	D) 15	E) 13

Solution: Notice that 5! = (5)(4!), so we can factor out 4! from top and bottom.   (5!+4!)/(5!-4!)=[4!(5+1)]/[4!(5-1)]   = 6/4   ≈ 1   1nswer: 1
Answer: A
It takes John exactly 15 minutes to rake a lawn and it takes his son Todd exactly 30 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn?
Choose the correct choice from the following: A) 10 B) 20 C) 36 D) 45 E) 90

Solution: 1)POE- John takes 15 min so if he takes help of someone else, it has to be less than 30 min..   only A and B are left..   if both do the work in 15 mis each, the combined time will be 7.5 mins   => 10 10
Answer: A
X invested $200 in a business and Y invested $300 in a business. At the end of the year they got $1000 as the profit. Find their share?  Choose one
A) $100,$200	B) $200,$300	C) $300,$400	D) $400,$500	E) $400,$600

Solution: X:Y = 200:300   X:Y = 2:3   X's share = 1000*2/5= 
1000*2/5 = 400
$400   Y's share= 1000*3/5= 
1000*3/5 = 600
$600   Answer is $400,$600
Answer: E
There are two sections X and Y of a class, consisting of 72 and 88 students respectively. If the average weight of sections X is 80 kg and that of sections Y is 70 kg. Find the average weight of the whole class  Choose the correct answer
A) 70.5
B) 72.5
C) 73.5
D) 74.5
E) None

Solution: Solution   Total weight of(72+88)Students	= (72x80+88x70)Kg   = 11920 kg.   Average weight of the whole class	= (11920 / 160)   = 74.50.   Answer 74.5
Answer: D
A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?	Options
A) 45	B) 60	C) 75	D) 90	E) 105

Solution: Answer : A   Let number of notes of each denomination be x.   Then, x + 5x + 10x = 240   16x = 240   x = 15.   Hence, total number of notes = 3x = 45.
Answer: A
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is: Select the correct option
A) 60  B) 100  C) 120  D) 180  E) 200

Solution: Work done by the waste pipe in 1 min = 1/15-(1/20+1/24)   =-1/40   volume of whole = (3*40)= 
(3*40) = 120
120 gallons   ANSWER 120
Answer: C
Which of the following statements must be true?
I. The product of first 100 prime numbers is even.
II. The sum of first 100 prime numbers is odd.
III. The sum of first five non-negative even numbers is divisible by both 4 and 5. Pick one.
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II and III

Solution: I. Product of first 100 prime number includes 2 , hence result will be even   II. ODD + ODD = Even and Even + Even = Even   100 prime numbers will have all Odd Numbers and 1 even Number ( ie, 2 )   Sum of Odd number of odd numbers will be ODD ( ie, sum of 99 odd numbers = Odd number)   Odd Number + 2 = Odd Number...   III. First 5 non-negative even numbers = {0, 2 , 4 , 6 , 8 }     0 + 2 + 4 + 6 + 8= 
  0 + 2 + 4 + 6 + 8 = 20
20   Divisible by both 4 and 5   Thus all three are possible, answer will be (I, II and III)
Answer: E