MU-NLPC/Calc-aqua_rat huggingface dataset:
During a certain two-week period, 50 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 9 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?  Choices:
A) 5 A  B) 10 A  C) 20 A  D) 25 A  E) 28 A

Solution: Movies: 50 % comedies. 50 % remaining genre.   Now in this 50 %, there are only 2 categories. Action movies and Drama Movies.   If Action = x; Drama movies = 9x. Total 10x.   10x = 50; x = 5   Action movies: 5 %   Drama movies: 45 %   we can say that out of 100z,:   comedies: 50z   action: 5z   drama: 45 z   Now action movies were A   This means:   A = 5z.   z = (A/5)   Comedies: 50z = 50 * (A/5)   10 A   10 A is the answer.
Answer: B
Two trains travelling in the same direction at 80 and 26 kmph completely pass off another in 1 minute. If the length of the first train is 400 m, what is the length of the second train?	Choose the correct choice from the following options:
A) 500
B) 266
C) 175
D) 99
E) 171

Solution: RS = 80 â€“ 26 = 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 60 sec   D = 15 * 60= 
15 * 60 = 900
900 m   400   --------   500 m   500nswer: 500
Answer: A
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 13 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?	Choose the correct choice from the following.
A) 300 B) 900 C) 1040 D) 480 E) 960

Solution: Total # of outfits = 13 * 10 * 8= 
13 * 10 * 8 = 1_040
1040   Answer - 1040
Answer: C
A certain car averages 25 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 45 miles on the highway?
Choose the correct answer
A) 28 B) 30 C) 36 D) 35 E) 38

Solution: Answer 36   No of Miles per Gallon = Total no of miles/Total no of Gallons   =10+45/(10/25+45/40) ~ 36.06
Answer: C
In a test comprising 50 questions, a student attempts all questions. For every correct answer the student is awarded 1 mark. She will get negative marks for incorrect answers as per the following rule.
1. 0.25 negative mark for each of the first 10 incorrect answer.
2. 0.5 negative mark for each incorrect answer, from the 11th to the 20th.
3. 0.75 negative mark for each incorrect answer, from the 21st.
What is the minimum number of questions that the student should get right to get a non-negative score? Choose the correct choice from the following options
A) 17
B) 18
C) 21
D) 22
E) 23

Solution: If 21 answers are correct, the student will score = 21*1= 
21*1 = 21
21   -(10*0.25 + 10*0.5+9*0.75)=-14.25   This huge difference between Right and Wrong shows that C cant be the answer. Based on this we can also eliminate D and E.   Hence its between A and B.   Let plug in A.   17*1= 
17*1 = 17
17   -(2.5 + 5 + 13*0.75)= -17.25   Result Negative. Hence A can't be the answer and its 18.
Answer: B
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. 800 per sq.metre.
Choices
A) Rs. 15,000	B) Rs. 15,500	C) Rs. 15,600	D) Rs. 16,500	E) None

Solution: Solution   Area of the floor	= (5.5 x 3.75)m²   = 20.635m ²   Cost of paying	= Rs. (800 x 20.625)   = Rs.16500.   Answer Rs. 16,500
Answer: D
20 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days?	Choose the correct choice from the following options.
A) 24 B) 18 C) 17 D) 16 E) 10

Solution: Binders Books Days   20 1400 21   x 1600 20   x/20 = (1600/1400) * (21/20) => x = 24   24nswer:24
Answer: A
The average age of A, B and C is 28 years. If the average age of A and C is 29 years, what is the age of B in years ?  Choose the correct choice from the following answers
A) 19 B) 26 C) 20 D) 32 E) 21

Solution: Age of 26 = Age of (A + 26 + C) â€“ Age of (A + C) = 28 Ã— 3 â€“ 29 Ã— 2 = 84 â€“ 58 = 26 years   26
Answer: B
In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.	Choose the correct option: A) 14 B) 15 C) 16 D) 17 E) 18

Solution: There are 10% of water in 70L --> there are 7L of waters;   14fter x liters of water is added amount of water becomes (7+x) liters, which on the other hand is 1/4th (25%) of new (70+x) liters of mixture: 7+x=1/4*(70+x) --> 28+4x=70+x --> x=14   14NSWER:14
Answer: A
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 162 grams of water?
Choose the correct choice from the following answers.
A) 16  B) 72  C) 112  D) 128  E) 144

Solution: Solution:   We are given that the ratio of hydrogen to oxygen in water, by mass, is 2 : 16. Using our ratio multiplier we can re-write this as 2x : 16x. We can now use these expressions to determine how much oxygen is in 162 grams of water.   2x + 16x = 162   18x = 162   x = 9   Since x is 9, we know that there are 16 x 9 = 144 grams of oxygen in 162 grams of water.   Answer 144.
Answer: E
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:	Choose the correct choice from the following answers:	A) 720	B) 900	C) 1200	D) 1800	E) 1900

Solution: 2(15 + 12) x h = 2(15 x 12)   h =	180/27m =20/3	m.   Volume =	15 x 12 x20 m3= 1200 m3.   ANSWER:1200
Answer: C
How many positive odd integers n less than 1000 have the property that the product of the
digits of n is 252 ? Pick.
A) 0	B) 1	C) 3	D) 4	E) 5

Solution: Since 252 = 2 *2 * 3* 3 *7, one of the digits is 7, the integer must have three digits, and the   remaining two digits are 6; 6, or 4; 9. There are five such odd integers: 667, 497, 947, 479, and   749.   correct answer 5
Answer: E
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?	Pick one:
A) 12 km
B) 162 km
C) 6 km
D) 87 km
E) 15 km

Solution: Explanation:   12 m/s = 12 * 18/5 kmph   3 hours 45 minutes = 3 3/4 hours = 15/4 hours   Distance = speed * time = 12 * 18/5 * 15/4= 
12 * 18/5 * 15/4 = 162
162 km.   162 km)
Answer: B
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choose the correct choice from the following:
A) 33  B) 10  C) 99  D) 73  E) 23

Solution: 4/12 + x/15 = 1   x = 10   Answer: 10
Answer: B
Water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 6 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the tank?
Choose the correct choice from the following options:
A) 16  B) 18  C) 20  D) 22  E) 24

Solution: The volume the tank is: length*width*depth = 6*4*3= 
6*4*3 = 72
72 cubic feet.   72 cubic feet / 4 cubic feet per hour= 18 hours.   It will take 18 hours to fill the tank.   The answer is 18.
Answer: B
The salary of a worker is first increased by 40% and afterwards reduced by 40%. What is the net change in the worker's salary?	Options:
A) 8% decrease B) 8% increase C) 16% decrease D) 16% increase E) no change

Solution: Let x be the original salary.   The final salary is 0.6(1.4x) = 0.84x   The answer is 16% decrease.
Answer: C
In September, John sold 2323 more soap than in February. In November, he sold 5 percent more than in September. John's November sales were what percent greater than his February sales?
Choose the correct option
A) 10/3%
B) 65%
C) 214/3 %
D) 75%
E) 514/3%

Solution: Let february sale= x   september sale= x+2/3x= 5x/3   November sale= 5x+3 + 5*5/100*3x    21/12= 
 21/12 = 7/4 = around 1.75
1.75 x   Hence November sale is 75% > February sale   75% is the answer
Answer: D
Two sets A and B consists only of positive integers such that mean of set A is 45 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>	Choose the correct choice: A) [A] 65 B) [B] 60 C) [C] 70 D) [D] 55 E) [E] cannot be determined

Solution: For this question, we have zero information about the size of two sets, sets AB. These two sets may have the same size or may be wildly different. Thus, the answer is (E), the mathematical answer cannot be determined. This is a very weak math question. As someone who writes GMAT practice questions, I would give this a grade of anD-as a question.   Answer [E] cannot be determined
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?	Choose the correct answer
A) 29	B) 378	C) 20	D) 27	E) 121

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer: 20
Answer: C
At a special sale, 9 tickets can be purchased for the price of 6 tickets. If 9 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 9 tickets? Select the correct option:
A) 20%	B) 33.3%	C) 40%	D) 60%	E) 66.6%

Solution: let the price of a ticket be Rs.100, so 6 tickets cost 600 & 9 tickets cost 900   9 tickets purchased at price of 6 tickets ie., for 600, so amount saved s Rs.300,   % of 9 tickets = (300 /900)*100 =33.3 %   ANSWER:33.3%
Answer: B
In a group containing 6 cows and 4 buffalos, 4 livestock are to be selected in such a way that at least 1 cow should always be present. How many way of doing that are possible?  Choose one.
A) 209  B) 277  C) 297  D) 161  E) 108

Solution: 209NSWER:209
Answer: A
If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :  Answers
A) 153.6002	B) 153.6008	C) 153.6003	D) 153.6001	E) 153.6022

Solution: Explanation:   4*A + 7/B + 2*C + 5/D + 6*E =47.2506   => 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006   Comparing the terms on both sides, we get :   4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006   A = 10,   B = 1,   C = 0.1,   D = 100,   E = 0.0001.   5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)   =50 + 3 + 0.6 + 100 + 0.003 = 153.6003.   Answer: 153.6003) 153.6003
Answer: C
Alex takes a loan of $5,000 to buy a used truck at the rate of 2 % simple Interest.Calculate the annual interest to be paid for the loan amount. Pick
A) 100
B) 150
C) 720
D) 200
E) 750

Solution: From the details given in the problem Principle = P = $5,000 and R = 2% or 0.02 expressed as a decimal.   As the annual Interest is to be calculated, the time period T =1.   Plugging these values in the simple Interest formula,   I = P x T x R   = 5,000 x 1 x 0.02   = 100.00   100nnual Interest to be paid = $100   answer :100
Answer: A
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?  Choose the correct choice from the following answers
A) 887 m	B) 998 m	C) 55 m	D) 100 m	E) 44 m

Solution: A can give B (5 min - 4 1/2 min) = 30 sec start.   The distance covered by B in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   A can give B 100m start.   Answer:100 m
Answer: D
A merchant marks goods up by 60% and then offers a discount on the marked price. The profit that the merchant makes after offering the discount is 20%. What % discount did the merchant offer?	Choose the correct choice from the following choices
A) 20%
B) 25%
C) 30%
D) 35%
E) 40%

Solution: Let P be the original price of the goods and let x be the rate after the markup.   (1.6P)*x = 1.2P   x = 1.2/1.6= 
1.2/1.6 = 0.75
0.75 which is a discount of 25%.   The answer is 25%.
Answer: B
Find the one which does not belong to that group ?
Choose the correct choice from the following options
A) 41 B) 43 C) 53 D) 47 E) 57

Solution: Explanation:   41, 43, 47 and 53 are prime numbers, but not 57.   ANSW57R IS 57
Answer: E
The cubic f(x) = x3 +bx2 +cx+d satisfies f(1) = 3, f(2) = 6, and f(4) = 12. Compute f(3).	Choose one:
A) 6  B) 7  C) 8  D) 9  E) 10

Solution: Note that f(x) - 3x = (x - 1)(x- 2)(x - 4), so f(x) = (x - 1)(x - 2)(x- 4) + 3x   and therefore f(3) = 2 *1 *(-1) + 9= 
2 *1 *(-1) + 9 = 7
7 .   correct answer 7
Answer: B
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 54, what is the total amount? Choose the most appropriate option
A) 234 B) 116 C) 117 D) 118 E) 119

Solution: x:y:z = 100:45:50   20:9:10   9 --- 54   39 --- ? => 234   234NSWER:234
Answer: A
The edge of a cube is 6a cm. Find its surface?
Choose the correct choice from the following answers.
A) 216a2 B) 24a4 C) 24a1 D) 24a2 E) 24a7

Solution: 6a2 = 6 * 6a * 6a = 216a2   216a2nswer:216a26 * 6  * 6= 
6 * 6  * 6 = 216
216a2   216a2nswer:216a2
Answer: A
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choose the correct choice from the following answers
A) 5  B) 18  C) 7  D) 45  E) 4

Solution: Explanation:   Let the two consecutive even integers be 2n and (2n + 2). Then,   (2n+2)^2 = (2n+2 2n)(2n 2-2n)   = 2(4n + 2)   =4(2n + 1), which is divisible by 4.   ANSW4R:4
Answer: E
2, 7, 14, 23, ?, 47
Choose the correct option.
A) 31	B) 28	C) 34	D) 33	E) 32

Solution: The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23   Missing Number = 23 + 11= 
23 + 11 = 34
34. ANSWER:34
Answer: C
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is  Choices.
A) 45 kg B) 50 kg C) 53 kg D) 55 kg E) NOne

Solution: Sol.   Weight of the teacher   = (35.4 × 25 – 35 × 24)kg   = 45 kg.   45 kgnswer 45 kg
Answer: A
If a certain sample of data has a mean of 20.0 and a standard deviation of 2.0, which of the following values is more than 2.5 standard deviations from the mean?	Pick one:	A) 13.5	B) 12.0	C) 17.0	D) 23.5	E) 26.5

Solution: The standard deviation is 2.0. 2.5 standard deviations, which is just 2.5 x 2.0 is 5.0. The only answer more than 6.0 away from the mean is 12.0.
Answer: B
Henry answered 3/5 of the questions he was given for homework in the first hour, 5/19 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?	Choose the correct choice from the following options
A) x  B) (95/7)*x  C) (95/14)*x  D) (95/21)*x  E) (95/28)*x

Solution: Let Q be the number of homework questions.   Q = 3Q/5 + (5/19)(2Q/5) + x   Q = 57Q/95 + 10Q/95 + x   28Q/95 = x   Q = (95/28)*x   The answer is (95/28)*x.
Answer: E
a grazing land have length 200m and breadth 50m.there is grass 0.5kg/m2.
a cow graze 20kg grass daily.if cow graze for 20days.so after 20 days calculate the percentage of grass filled area.  Choose the correct choice from the following answers:  A) 90  B) 92  C) 95  D) 85  E) 80

Solution: area of land=200*50= 
200*50 = 10_000
10000m2.   total grass grazed=400kg.   area grazed=400/0.5= 
400/0.5 = 800
800m2.   %of grass filled area=9200/10000*100= 
9200/10000*100 = 92
92%   answer 92
Answer: B
The product of three consecutive numbers is 120. Then the sum of the smallest two numbers is ?	Select:	A) 9	B) 15	C) 20	D) 38	E) 56

Solution: Product of three numbers = 120   120 = 2*2*5*6 = 4*5*6   So, the three numbers are 4,5 and 6.   And Sum of smallest of these two = 4 + 5= 
4 + 5 = 9
9.   9NSWER : OPTION 9
Answer: A
If a*b denotes the greatest common divisor of a and b, then ((16*20)*(18*24)) = ? Pick
A) 24  B) 12  C) 6  D) 4  E) 2

Solution: The greatest common divisor of 16 and 20 is 4. Hence 16*20 = 4 (note that * here denotes the function not multiplication).   The greatest common divisor of 18 and 24 is 6. Hence 18*24 = 6.   Hence ((16*20)*(18*24)) = 4*6.   The greatest common divisor of 4 and 6 is 2.   Answer; 2.
Answer: E
A money lender lent Rs. 800 at 3% per year and Rs. 1400 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.  Choose the correct option
A) 3.5 B) 3.72 C) 4 D) 4.25 E) 4.5

Solution: (800xtx3/100) + (1400xtx5/100) = 350 â†’ t =3.72 answer 3.72
Answer: B
If the sum of the 4th term and the 12th term of an arithmetic progression is 8, what is the sum of the first 15 terms of the progression? Select the correct option.
A) 60	B) 120	C) 160	D) 240	E) 840

Solution: Let a = first term, d = common difference.   4th term = a+3d   12th term = a+11d   a+3d + a+11d = 8   2a + 14d = 8   a + 7d = 4.   Sum of the first 15 terms = 15/2 (2a + 14d) = 15 (a+7d) = 15 (4) = 60. 60ns (60)
Answer: A
If k is the sum of the digits of integer m, and m=12n, where n is an integer, which of the following must be true?	Choose the correct choice from the following answers:	A) k is not divisible by 9	B) The sum of the digits of k is divisible by 3	C) m is a multiple of 2k	D) k is a multiple of 9	E) k is a multiple of 6

Solution: m= 12n i.e n =1,2,3 ,4 etc or -1,-2.-3 ,-4 then m =12,24,36,48 or -12 ,-24 ,-36 ,-48 then k 3,6 9,12 or -(1+2) , -(4+2) , -(3+6) ,-(4+8) .   ans The sum of the digits of k is divisible by 3
Answer: B
A certain roller coaster has 2 cars, and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 2 times, what is the probability that the passenger will ride in each of the 2 cars? Choose the correct choice from the following answers:
A) 0	B) 1/2	C) 2/9	D) 1/3	E) 1

Solution: If he is to ride 2 times and since he can choose any of the 2 cars each time, total number of ways is   = 2 * 2= 
2 * 2 = 4
4   Now the number of ways if he is to choose a different car each time is= 2 * 1= 
2 * 1 = 2
2   So the probability is= 2/4   = 1/2   Answer : 1/2
Answer: B
A train passes a bridge in 40 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choose one
A) 250 B) 400 C) 150 D) 300 E) 450

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/40= 15 => x = 300 m.   Answer: 300
Answer: D
Six women can do a work in 10 days. Ten men can complete the same work in 4 days. What is the ratio between the capacity of a man and a woman?  Choose one:
A) 1:2
B) 2:1
C) 2:3
D) 3:2
E) None of these

Solution: Explanation:   (6 Ã— 10) women can complete the work in 1 day.   âˆ´ 1 woman's 1 day's work = 1/60   (10 Ã— 4) men can complete the work in 1 day.   âˆ´ 1 man's 1 day's work = 1/40   so, required ratio =1/60 : 1/40= 3:2   Answer: 3:2
Answer: D
How many pounds of salt at 70 cents/lb must be mixed with 45 lbs of salt that costs 40 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
Choose the correct choice.
A) 5	B) 9	C) 40	D) 50	E) 25

Solution: Selling price is 48 cents/lb   For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)   Basically, you need to mix 40 cents/lb (Salt 1) with 70 cents/lb (Salt 2) to get a mixture costing 45 cents/lb (Salt Avg)   weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (70 - 45)/(45 - 40)= 
(70 - 45)/(45 - 40) = 5
5/1   We know that weight of salt 1 is 45 lbs. Weight of salt 2 must be 9 lbs.   Answer (9)
Answer: B
A car covers a certain distance at a speed of 40 kmph in 5 hours. To cover the same distance in 2 hr, it must travel at a speed of?	Choose the most appropriate option.
A) 100 km/hr	B) 678 km/hr	C) 782 km/hr	D) 789 km/hr	E) 720 km/hr

Solution: Distance = (40 x 5) = 200 km   Speed = Distance/Time   Speed = 200/2= 
200/2 = 100
100 km/hr   100 km/hrnswer : 100 km/hr
Answer: A
If n ≠ 0, which of the following must be greater than n?
I. 2n
II. 2 - n
III. n^2
Pick one.
A) I only B) II only C) I and II only D) II and III only E) None

Solution: n ≠ 0 => n = negative or n = positive   if n = negative:   2n < n (n = -1 then 2n = -2 => -2 < -1)   n^2 > n (n =-1 then n^2 = 1 => n^2 > n)   2 - n > n (n = -1 then 2--1 = 2+1= 
2+1 = 3
3=> 2-n > n)   but if n = positive:   n^2 > n (n = 2 then n^2 = 4 => n^2 > n) => II   2 - n < n(n =2 then 2-2= 
2-2 = 0
0)=> only III   =>answer is None
Answer: E
The product of two numbers is 266 and their difference is 5. What is the bigger number ?	Choose the correct choice from the following options:
A) 67  B) 26  C) 26  D) 19  E) 72

Solution: Explanation:   Let the two numbers be A and B, here A > B   AB = 266   B = 266/A -----------------(I)   Given,   A – B = 5 ----------- (II)   Substitute from (I) in (II), we get   A – 266/A = 5   A2 – 5A + 266 = 0   (A – 19)(A – 14) = 0   Therefore , A = 19 or A = 14   Hence, bigger number = A = 19   ANSWER: 19
Answer: D
If a trader sold two cars each at Rs. 325475 and gains 14% on the first and loses 14% on the second, then his profit or loss percent on the whole is?  Choose the correct answer.
A) 1.44% B) 1.74% C) 1.84% D) 1.96% E) 1.24%

Solution: SP of each car is Rs. 325475, he gains 14% on first car and losses 14% on second car.   In this case, there will be loss and percentage of loss is given by   = [(profit%)(loss%)]/100   = (14)(14)/100 % = 1.96%   Answer:1.96%
Answer: D
The average (arithmetic mean) weight of 5 friends is 150 pounds. If Joanne leaves the group and the new average of the group is 162 pounds. What is Joanne's weight?
Choose the most appropriate option:
A) 60	B) 78	C) 102	D) 105	E) 110

Solution: The average (arithmetic mean) weight of 5 friends is 150 pounds.   Let W be sum of weights of the four others. and J be Joanne's weight   (W + J)/5 = 150   When Joanne exits, the average is 162   W/4 = 162   W = 648   W + J = 750   J = 102   ANSWER:102
Answer: C
Rob also compared the Empire State Building and the Petronas
Towers. What is the height difference between the two if the Empire
State Building is 443m tall and the Petronas Towers is 452m tall?	Choose the correct choice from the following choices:
A) 9  B) 17  C) 23  D) 45  E) 12

Solution: 452-443=9.9nswer is 9.
Answer: A
If $10 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?  Select the correct option: A) 10n(x/100) B) 10,000(x/100)^n C) 10,000n(x/100) D) 10,000(1+x/100)^n E) 10,000n(1+x/100)

Solution: I think answer D is for compound interest (which i assumed)   and answer 10n(x/100) is for simple interest because it is not compounding.
Answer: A
40 people are sitting around a circular table. Starting from 1 every 2nd person is killed. This process continues till only one person remains. How is the survivor? (Josephus riddle)	Options:
A) 22	B) 17	C) 88	D) 237	E) 121

Solution: Write the given number in Binary form: 101000   Shift the left digit to the right hand side: 010001   Convert this number into decimal and this could be the number of the survivor: 17   Sol 2: Write the given number as a sum of 2K + M where K should be maximum power less than the given number.   Survivor number is given by 2M + 1   this this case 40 < 25 + 8   So M =8, Survivor number = 2(8) + 1 = 17   Answer:17
Answer: B
There are X girls in a class, and their average height is E inches. In the same class, there are Y boys with an average height of F inches. What is the average height of all the students in the class?
Choose the correct choice from the following answers.
A) (X + Y)/(M + N)
B) (M + N)/(X + Y)
C) (XM + YN)/(M + N)
D) (XE + YF)/(X + Y)
E) MN/XY

Solution: Total height = XE+YF   No of students = X+Y   Avg = (XE+YF)/(X+Y)   Answer is (XE + YF)/(X + Y)
Answer: D
Find the sum of first 35 odd numbers  Choose the most appropriate option.
A) 4900 B) 3000 C) 1250 D) 1200 E) 1225

Solution: 1225xplanation:   n2 = 352 =1225   Answer: Option 1225
Answer: E