MU-NLPC/Calc-aqua_rat huggingface dataset:
The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
Select:
A) 3:2
B) 4:1
C) 3:2
D) Cannot be determined
E) None of these

Solution: Answer: Option D   Explanation:   Let the present ages of Anil and his son be 7x and 3x years respectively.   Let the present age of the son's mother be m years.   (m + 6) / (3x + 6) = 2/1   m   + 6= 
  + 6 = 6
6x + 12=> m = 6x + 6   Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).   This cannot be found uniquely.   Answer:Cannot be determined
Answer: D
There are 50 girls in a dance group in a private school. 30% of them dance hip hop and 80% dance ballet. How many of them dance both hip hop or ballet? Choose the correct choice from the following options.
A) 5	B) 10	C) 15	D) 20	E) 25

Solution: The total number of girls in the class is n = 50.   The number of girls dancing hop hop is 30% of it, thus   n (A)=30/100×50=30/2= 
30/2 = 15
15.   The number of girls dancing ballet is 80%, thus   n (B)=80/100×50=80/2= 
80/2 = 40
40.   In order to calculate the number of girls dancing both hip hop and ballet we can use the following equation:   n (AnB)=n (A)+n (B) -n =15+40-50= 
15+40-50 = 5
5.   So, 5 girls in this dance class dance both hip hop and ballet.   5NSWER: 5
Answer: A
If 40% of a number is 24, then the number is
Pick:  A) number is 60  B) number is 70  C) number is 90  D) number is 80  E) None of these

Solution: Solution:   Let "a" be the number we seek. We get   40% × a = 24   2 × 40% × a = 2 × 24 = 48   80% × a = 48   10% × a = 48 : 8 = 6   100% × a = 6 × 10 = 60   a = 60   number is 60nswer number is 60
Answer: A
A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ?
Select the correct option.
A) 40  B) 54  C) 45  D) 50  E) None

Solution: No. of toys = 150/3= 
150/3 = 50
50   Answer : 50
Answer: D
If a tap could fill entire tank in 18 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 15 hrs without leakage  Choose one.
A) 12hrs	B) 24hrs	C) 36hrs	D) 48hrs	E) 90hrs

Solution: time take to fill[withleakage] =18hrs so workdone in 1hr=1/18   time tkae to fill[without leakage]=15hrs so workdone in 1hr=1/15   if u subtract both u'll get time taken by leakage to empty...   1/18-1/15=1/90 so 90hrs   ANSW90hrsR:90hrs
Answer: E
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 2H, which of the following represents the amount that Roberta paid? Options.
A) D + 40	B) D + H – 1	C) D + 2H	D) 3.01H	E) 1.21D

Solution: before 3.01Hiscount price was: 1.43.01H+1.5H   After 3.01Hiscount: 1.43.01H +1.5H-.423.01H-.45H   substitute 3.01H=2H   final value: 3.01H   Ans Is 3.01H :
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 $ 40,000 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 56 years later? Choose the correct choice from the following answers.
A) $ 280,000  B) $ 320,000  C) $ 360,000  D) $ 450,000  E) $ 640,000

Solution: The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $ 40,000 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 56 years, the investment will get doubled 56/14= 
56/14 = 4
4 times.   So the amount invested will get doubled thrice.   So, 40000 *2^4= 640000   Hence, the answer is $ 640,000.
Answer: E
Jar A has 6% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles? Choose the correct choice from the following choices
A) 2.8% B) 3.0% C) 3.2% D) 3.4% E) 3.6%

Solution: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 106 marbles. Now, for both jars to have equal marbles we should move 3 marbles from A to B, which is 3/106=~2.8% of A.   2.8%nswer: 2.8%.
Answer: A
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:  Answers:
A) Rs 4000
B) Rs 3000
C) Rs 5000
D) Rs 4500
E) Rs 6000

Solution: investment 9% ==>x   investment in 10% stock = (9800-x)   9/75xx=10/80x(9800-x)   3x/25=9800-x/8   24x=9800x25-25x   49x=9800 x 25   x=5000   ANSWER Rs 5000
Answer: C
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choose the correct choice from the following answers.
A) 178
B) 169
C) 245
D) 178
E) 119

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30   = 25/2 ==> 2(130 + X) = 750 ==> X   = 245 m.   Answer: 245
Answer: C
If the numbers 20,15,11,17,21,24,10,14 have average 16.5, then what is the average of the numbers if each given numbers is multiplied by 2? Choose the correct option
A) 13	B) 53	C) 43	D) 23	E) 33

Solution: Required Average is nothing but the two times of the old average =33 Answer : 33
Answer: E
A driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance? Choose the correct choice.
A) 1.5
B) 2
C) 2.4
D) 2.7
E) 3

Solution: Let x be the number of liters of ethanol added to the gas tank.   0.05(54) + x = 0.1(54+x)   0.9x = 5.4 - 2.7= 
5.4 - 2.7 = 2.7
2.7   x= 3 liters   The answer is 3.
Answer: E
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 30 minutes. The waste pipe can empty the full cistern in? Choose the correct choice
A) 8 min
B) 7.5 min
C) 5 min
D) 9 min
E) 4 min

Solution: 1/10 + 1/15 - 1/x   = 1/30   x = 7.5   Answer: 7.5 min
Answer: B
A certain company employs 7 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible? Choose the correct answer.
A) 8  B) 24  C) 58  D) 140  E) 210

Solution: Number of ways to select 3 senior officers from 7 of them = 7C3 = 35 ways   Next we can determine the number of ways to select 1 junior officer.   number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways   Thus the number of ways to select 3 senior officers and 1 junior officer is 35 x 4 = 140 ways.   Answer: 140
Answer: D
Ajay can walk 10km in 1 hour. In how many hours he can walk 50km?	Pick: A) 5hrs B) 10hrs C) 15hrs D) 20hrs E) 30hrs

Solution: 1 hour he walk 10km   he walk 50km in = 50/10 * 1= 
50/10 * 1 = 5
5hours   5hrsnswer is 5hrs
Answer: A
The radius of a semi circle is 6.5 cm then its perimeter is? Choose the correct choice from the following answers
A) 32.7
B) 32.4
C) 33.4
D) 32.8
E) 32.1

Solution: 36/7 r = 6.5 = 33.4   Answer:33.4
Answer: C
The average of 6 no.'s is 3.95. The average of 2 of them is 3.6, while the average of the other 2 is 3.85. What is the average of the remaining 2 no's? Choose the correct choice from the following:
A) 4.2	B) 4.4	C) 4.6	D) 5.6	E) 5.7

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.6 * 2) + (3.85 * 2)]   = 8.8.   Required average = (8.8 / 2) = 4.4.   4.4
Answer: B
A 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?	Answers:
A) 227 B) 266 C) 230 D) 288 E) 200

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 30 = 50/3   3(x + 300) = 1500 è x = 200m.   Answer: 200
Answer: E
657.987 - ? + 56.84 = 324.943	Choose the most appropriate option
A) A)899.015
B) B)752.804
C) C)389.884
D) D)629.906
E) of these

Solution: Explanation:   389.884   Answer: Option 389.884
Answer: C
Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65 Choose the correct option:  A) 50  B) 38  C) 26  D) 65  E) 50

Solution: Explanation :   The pattern is (1×1)+1 , (2×2)+1 , (3×3)+1 , (4×4)+1 , (5×5)+1 , (6×6)+1 , (7×7)+1 , (8×8)+1   Hence, in place of 38, the right number was (6×6)+1 = 37   Answer : Option 38
Answer: B
There are two taps, which are used to fill the tank and one tap to empty the tank. First tap fill the tank in 10 min., while the second takes quarter of an hour to fill the tank if both are operated independently.Third tap is capable of emptying the tank in seven and a half minutes. If all the taps are opened simultaneously how long (if ever) will it take for the tank to get filled completely?
Choose the correct choice from the following choices.
A) 10 minutes
B) 20 minutes
C) 30 minutes
D) 40 minutes
E) 50 minutes

Solution: Pipe A fills the tank in 10 min   Pipe B fills the tank in 15 min   Pipe 30 minutes empties the tank in 15/2 min   If all the three opened simultaneously then in 1 min   1/10 + 1/15 - 2/15 of the tank will be filled   that means 1/30 th of the tank will be filled in 1 min   So it will take 30 minutes to fill the tank completely if all three pipes opened   ANSWER:30 minutes
Answer: C
How many numbers between 100 and 714 are divisible by 2, 3, and 7 together?
Choose the correct choice from the following options:
A) 112 B) 77 C) 267 D) 15 E) 99

Solution: Explanation:   As the division is by 2, 3, 7 together, the numbers are to be divisible by:  2*3*7= 
 2*3*7 = 42
42   The limits are 100 and 714   The first number divisible is 42*3= 
42*3 = 126
126   To find out the last number divisible by 42 within 714:    714/42= 
 714/42 = 17
17   Hence, 42*14= 714 is the last number divisible by 42 within 714   Hence, total numbers divisible by 2, 3, 7 together are (17 â€“ 2) = 15   ANSWER: 15
Answer: D
The population of Linterhast was 3,600 people in 1990 and 4,800 people in 1993. If the population growth rate per thousand is constant, then what will be the population in 1996? Choose the correct choice from the following choices:  A) 6000  B) 6400  C) 7200  D) 8000  E) 9600

Solution: This is a set rate problem. If the population grew by 1,200 people in the past three years, then it grew by 33 percent:   4800−3600/3600=1200/3600=1/3≈33   Therefore in the next three years the population will grow at the same rate of 33% because the growth rate has been constant.   4,800+1/3∗4,800=4,800+1,600=6,400   Another approach is to backsolve by comparing the ratio of each answer to 4,800. For example, the ratio of 7,200 to 4,800 is not the same as the ratio of 4,800 to 3,600.   Answer: 6400
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?	Choose the most appropriate option
A) 100 B) 110 C) 120 D) 121 E) 123

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: Option 120
Answer: C
A certain office supply store stocks 2 sizes of self-stick notepads, each in 8 colors. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choose the correct choice from the following choices:
A) 6
B) 8
C) 16
D) 124
E) 128

Solution: Notepads of the same color = 8 (we have 8 colors). As we have two sizes then total for the same color=8*2= 
8*2 = 16
16   Notepads of the different colors= 8C3=56 (we should choose 3 different colors out of 8). As we have two sizes then total for the different color=56*2= 
56*2 = 112
112   Total=112+16= 
112+16 = 128
128   Answer: 128.
Answer: E
An investment yields an interest payment of $231 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choose the correct option:	A) $28,300	B) $30,800	C) $31,300	D) $32,500	E) $35,100

Solution: Let the principal amount = P   Simple annual interest = 9%   Simple monthly interest = (9/12) = (3/4)%   (3/4)*(P/100) = 230   =>P = (231 *4 * 10^2 )/3   = 77*4*10^2   = 308 * 10^2=30800   Answer $30,800
Answer: B
A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases?  Choose the correct choice from the following options
A) 200BC
B) 200B/C
C) 400BC
D) 400B/C
E) 400/BC

Solution: 2 cases * 400BC cartons/case * B boxes/carton * 200 clips/box = 400B400BC paper clips   The answer is 400BC.
Answer: C
Which of the following data sets has the second largest standard deviation?  Choose the correct choice from the following answers:
A) {1, 2, 3, 4, 5}  B) {2, 3, 3, 3, 4}  C) {2, 2, 2, 4, 5}  D) {0, 2, 3, 4, 6}  E) {-1, 1, 3, 5, 7}

Solution: since we are asked to compare 'standard deviation', we should look out for similarity between all the sets..   The SIMILARITY is - the SUM of all sets is equal =15..   and hence average = 15/5 = 3...   Now we have 5 different sets which have AVG as 3, so we will look for the spread of the other elements of set around the AVERAGE..   clearly E has a range of 7-(-1) or 8, and has the highest standard deviation..   Next is D, which has a range of 6-0 or 6..   ans {0, 2, 3, 4, 6}
Answer: D
If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students?	Select the correct option
A) 42 B) 45 C) 41 D) 40 E) 39

Solution: Let the number of girls = x and the number of boys = 8x   Then, total number of students = x + 8x = 9x   i.e., the total number of students must be a multiple of 9   From the given choices, 42 cannot be a multiple of 9.   Hence, 42 cannot be the total number of students.   42nswer is 42.
Answer: A
A carpenter makes 5 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers? Select:
A) 3. B) 4. C) 5. D) 6. E) 7.

Solution: I believe it is C because if 1C makes 3 beds in 1 day then:   1C's rate = 3/1   So 5c's = 3/1 * 5= 
3/1 * 5 = 15
15/1= 
15/1 = 15
15 beds in a day.   Since we have 173 soldiers who need beds and bunk beds come in pairs, 72 is the least amount of beds needed.   Time= Amount / Rate   Time = 72 / (15/1) = 72/15, simplifying we get 72/15 = 24/5 = 4.9   So, in order for the carpenters to be able to finish they need 5 whole days. At first I made the mistake of thinking how many whole days it took them to finish (as in ignore the partial day) but the prompt clarifiesdays in advance, meaning how many days would they need to finish so even if they finish early, theyusedthat day.   5.
Answer: C
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?	Choose the correct choice from the following options:
A) 833 1/7 grams B) 833 1/3 grams C) 833 8/3 grams D) 933 1/3 grams E) 833 1/4 grams

Solution: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.   If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.   How many grams he has to give instead of one kilogram(1000 gm).   120 gm ------ 100 gm   1000 gm ------ ?   (1000 * 100)/120 = 2500/3 = 833 1/3 grams.   Answer:833 1/3 grams
Answer: B
For how many integers pair (x,y) satisfies the result
(1/x)+((1/y)=1/14
Pick one:
A) a) 12  B) b) 6  C) c) 10  D) d) 16  E) e) 18

Solution: It seems that the accepted answer is wrong, according to WolframAlpha. The answer should be 28, which isn't even listed as a selectable answer.   e) 18
Answer: E
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 44 with him, what was the average amount with the group before his joining the group?	Answers: A) s.16 B) s.14 C) s.15 D) s.22 E) s.12

Solution: Total members in the group = 7   Average amount = Rs. 20   Total amount with them = 7 * 20 = Rs. 140   One number has Rs. 44. So, the amount with remaining 6 people = 140 - 44 = Rs. 96   The average amount with them = 96/6 = Rs.16.   s.16nswer:s.16
Answer: A
A student traveled 30 percent of the distance of the trip alone, continued another 40 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?  Select the correct option:  A) 120  B) 140  C) 160  D) 180  E) 200

Solution: Let x be the total length of the trip.   0.3x + 40 miles + 0.5x = x   40 miles = 0.2x   x = 200 miles   The answer is 200.
Answer: E
Solution for 1.35+.123+.321	Choose one.
A) 2.91  B) 1.794  C) 1.338  D) 1.986  E) 1.999

Solution: 1.35+.123+.321=0   0=0-1.35-0.123-0.321   0=-1.794   answer :1.794
Answer: B
By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Pick:
A) 16
B) 7
C) 6
D) 4
E) 9

Solution: 80% --- 24   120% --- ?     80/120 * 24= 
  80/120 * 24 = 16
16   16nswer:16
Answer: A
Solution X is 40% chemical A and 60% chemical B by volume. Solution Y is 50% chemical A and 50% chemical B by volume. If a mixture of X and Y is 47% chemical A, what percent of the mixture is Solution X?  Choose the correct choice from the following choices.
A) 15% B) 20% C) 25% D) 30% E) 35%

Solution: The volume of the mixture be X+Y.   0.4X +0.5Y=0.47(X+Y)   X=3Y/7   X/(X+Y)=(3Y/7) / (10Y/7)=3/10=30%.   The answer is 30%.
Answer: D
A trader bought a car at 20% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?	Choose the correct choice from the following.
A) 18%  B) 13%  C) 12%  D) 32%  E) 44%

Solution: Original price = 100   CP = 80   S = 80*(180/100) = 112   100 - 144= 44%   Answer: 44%
Answer: E
For what value of â€œkâ€ will the equation (2kx2 + 3kx +2)=0 have equal roots?	Pick one:
A) 2/7  B) 9/4  C) 16/25  D) 7/1  E) 16/9

Solution: for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0   in the given equation   (3k)^2-4*2k*2=0   by solving this equation   we get k=0, k=16/9   ANSW16/9R:16/9
Answer: E
The closest approximation of Q=(69.28 × 0.004)/0.03 is Choose the most appropriate option
A) 0.092
B) 0.92
C) 9.2
D) 92
E) 920

Solution: Q=(69.28 × 0.004)/0.03   1. 0.004 = 4 × 10^(-3)   2. 0.03 = 3 × 10^(-2)   3. (a × b)/c = a × (b/c)   4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)   Therefore,   (69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33   Now,   7 × 2 = 14   7 × 1 = 7   or better:   6.9 × 1 = 6.9   6.9 × 2 = 13.8   hence,   6.9 <6.928 × 1.33 < 13.8   9.2 is the only answer that satisfies this condition.9.2
Answer: C
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 5-hour period?  Choose the correct option
A) 88	B) 56	C) 45	D) 42	E) 64

Solution: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4= 
20*1/4 = 5
5 minutes plus 2 minutes= 7 minutes.   5 hour = 300 minutes.   In 300 minutes operator can make 300/7=42 trips.   Answer: 42.
Answer: D
man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Choose the correct option:
A) 14years B) 26 years C) 17 years D) 18 years E) 22 years

Solution: Let the son's present age be x years. Then, man's present age = (x + 20) years.   (x + 28) + 2 = 2(x + 2)   x + 30 = 2x + 4   x = 26.   answer :26 years
Answer: B
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time R it could take for 10 cars to be complete?  Answers:
A) 111 1/9 minutes
B) 115 2/5 minutes
C) 116 minutes
D) 120 minutes
E) 125 minutes

Solution: A builds 4 cars in 80 min   B builds 4 cars in 100 min   So A builds another car in another 20 min (i.e total 5 cars)   B builds another car in another 25 minutes (i.e, total 5 cars)   However, A can build another car in next 20 min (i.e total 6 cars)   So total time R= 125 min by B, which is > 120 min by A   B - 4 cars, A - 6 cars   Answer = 120 minutes
Answer: D
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is? Select:
A) 235
B) 240
C) 245
D) 250
E) 255

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: Option 245
Answer: C
R campers fished for 5 hours. If m of the campers caught 2 fish apiece and the rest caught a combined total of n fish, how many fish did the R campers catch per hour? Choose the correct choice from the following answers:	A) 2m + n(R-m)	B) (2m + n(R-m))/3	C) (2m + n(m-R))/3	D) (2m + n)/5	E) (2m + n)/R

Solution: m of the campers caught 2 fish apiece in 5 hours --> total fish caught by m campers = 2m;   The rest caught a combined total of n fish.   Total fish caught in 5 hours = 2m+n --> per hour (2m+n)/5.   Answer: (2m + n)/5.
Answer: D
if the angles of an n sided polygon are in A.P and a>=20 and d>=20 then wat is the maximum possible value of n? Choose the correct choice from the following answers:  A) 12  B) 14  C) 21  D) 25  E) cant determine

Solution: Sum of Interior angles of a polygon = (n-2) × 180° where n = number of sides   There will be n angles which are in A.P. Therefore,   Since we need to find maximum value of n, put minimum value for a and d.i.e., take a=20 and d=20   Then sum of the angles   =n/2[2×20+(n−1)20]   Therefore,   10n(n+1)=(n−2)180   n=14.52   Since number of sides must be a positive integer, maximum value of n = 14   ANSWER:14
Answer: B
In a class Students are seated in 15 rows. There are 15 students in the first row and 16 students in the second row. In each subsequent row there are 2 more students than in the previous row. Find the total number of students in the class? Choose the correct choice from the following answers:
A) 406	B) 420	C) 521	D) 460	E) 421

Solution: The first row has 15 students. The remaining 14 rows forms an AP with first term 16 and last term 42 with an average of 29. The total number of students in the class is  29*14+15= 
 29*14+15 = 421
421   Answer is 421.
Answer: E
By how much is three-fifth of 350 greater than four-seventh of 210 ?  Choose the correct choice from the following: A) 90 B) 100 C) 110 D) 120 E) 130

Solution: Explanation:   3/5 of 350 - 4/7 of 210 = 210 - 120= 
210 - 120 = 90
90.   90nswer: 90
Answer: A
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $111 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
Choose the most appropriate option
A) $2400 B) $3200 C) $6000 D) $6400 E) $3700

Solution: let x be the monthly salary   15%of 1/5*x=111   x=3700   answer $3700
Answer: E