MU-NLPC/Calc-aqua_rat huggingface dataset:
The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last? Pick one:  A) 22 days  B) 30 days  C) 87 days  D) 16 days  E) 17 days

Solution: one man can consume the same food in 30*40= 
30*40 = 1_200
1200 days.   10 more men join, the total number of men= 40   The number of days the food will last = 1200/40= 
1200/40 = 30
30 days.   Answer:30 days
Answer: B
How much 60% of 50 is greater than 40% of 30? Options:
A) 18
B) 28
C) 29
D) 11
E) 12

Solution: (60/100) * 50 – (40/100) * 30   30 - 12= 
30 - 12 = 18
18   18nswer:18
Answer: A
A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 2/3 times their arithmetic mean, what is the value of x?	Select the correct option:
A) 24  B) 26  C) 28  D) 30  E) 32

Solution: The median is (6+8)/2= 
(6+8)/2 = 7
7   The mean is (4+5+6+8+10+x)/6= (33+x)/6   (33+x) /6 * 2/3 = 7   x = 63-33= 
63-33 = 30
30   The answer is 30.
Answer: D
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and BLACK bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal  Pick
A) 16	B) 32	C) 33	D) 54	E) 64

Solution: You can just write out the pattern and count: RGWBYRGWBYRGWBY... But to save time a good test taker will just look for a pattern. Min # is 3, because W is the third one. Then every 5 beads another white comes, so it must be 3+5= 
3+5 = 8
8   3+5+5= 
3+5+5 = 13
13   3+5+5+5= 
3+5+5+5 = 18
18   3+5+5+5+5= 
3+5+5+5+5 = 23
23   So you see it ends in either 8 or 3. Pick an answer that ends in either 8 or 3. Only one answer does, 33.
Answer: C
If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 5, then xy must be a multiple of which of the following?
I. 8
II. 12
III 18 Choose the correct choice from the following:	A) II only	B) I and II only	C) I and III only	D) II and III only	E) I, II and III

Solution: Ans E.   From question x/4 is an integer.   x/4 = 2*2*q/4 ---> where q is the integer   Also y/6 = p => y/6 = 2*3*p/6   So, xy =  2*2*2= 
 2*2*2 = 8
8 and   2*3*2= 
  2*3*2 = 12
12 satisfy   I, II and III
Answer: E
In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs., 18 min., 15 seconds of watch time. What is the time gained or lost by this watch in one day? Choose the correct choice from the following answers:	A) 14 min. 10 seconds lost	B) 13 min. 50 seconds lost	C) 13 min. 20 seconds gained	D) 14 min. 40 seconds gained	E) None of these

Solution: In a watch than is running correct the minute hand should cross the hour hand once in every 65 + 5⁄11 min.   So they should ideally cross 3 times once in   3×(720/11)−2060/11min=196.36minutes   But in the watch under consideration, they meet after every 3 hr,18 min and 15 seconds,   i.e, (3 × 60 + 18 + 15⁄60) = 793⁄4 min.   Thus, our watch is actually losing time (as it is slower than the normal watch). Hence when our watch elapsed   (1440×196.36/198.25)=1426.27.   Hence the amount of time lost by our watch in one day = (1440 - 1426.27)= 
(1440 - 1426.27) = 13.73
13.73 i.e. 13 min and 50s (approx).   Answer 13 min. 50 seconds lost
Answer: B
Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
Options:
A) 3/5
B) -3/5
C) -1/5
D) 2/3
E) 1/5

Solution: |a| = 1/5   Absolute value of 'a' can have two values = 1/5 and -(1/5)   |b| = 2/5   Absolute value of 'b' can have two values = 2/5 and -(2/5)   Now different combinations of a + b are as follows:   a + b = (1/5) + (2/5) = 3/5   - a - b = -(1/5) - (2/5) = -3/5   a - b = (1/5) - (2/5) = -(1/5)   -a + b = -(1/5) + (2/5) = 1/5   Cross verifying with the given options, left over option is 2/3.
Answer: D
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?  Choose the correct choice from the following options.
A) $45.10
B) $34.31
C) $28.44
D) $67.54
E) $65.23

Solution: let x be the price before the first discount. The price after the first discount is   x - 25%x (price after first discount)   A second discount of 25% of the discounted price after which the final price is 16   (x - 25%x) - 25%(x - 25%x) = 16   Solve for x   x = $28.44   correct answer $28.44
Answer: C
A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
Choose the correct choice from the following options.
A) 77 days B) 55 days C) 44 days D) 60 days E) 33 days

Solution: A = 140 days   B = 105 days   1/140 + 1/105 = 7/420 = 1/60   =>60 days   Answer: 60 days
Answer: D
3, 4, 6, 10, 18, (...)  Pick:
A) 22
B) 34
C) 27
D) 32
E) 25

Solution: Explanation :   3   3 × 2 - 2 = 4   4× 2 - 2 = 6   6× 2 - 2 = 10   10 × 2 - 2 = 18   18 × 2 - 2 = 34   Answer : Option 34
Answer: B
A group consists of 6 men, 8 women and 6 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?  Choose one:
A) 5050 B) 5020 C) 2050 D) 3050 E) 5040

Solution: Two men, two women and one child can be selected in 6C₂ * 8C2 * 6C₁ ways   6*5/2*1*8*7/2*1*6   = 5040 ways   Answer : 5040
Answer: E
What is the radius of the circum circle of the triangle whose sides are 5, 12 and 13 units respectively? Options.
A) 2 units
B) 12 units
C) 6.5 units
D) 6 units
E) 7.5 units

Solution: sides of triangle are 5,12,13   i.e triangle is right angled,hypotenuse=13   in case of a right angled triangle, the hypotenuse is the diameter of the circumcircle   so radius of the circum circle=13/2= 
13/2 = 13/2 = around 6.5
6.5 units   ANSWER:6.5 units
Answer: C
Find the odd man out. 3, 9, 12, 15, 18, 29	Choose the correct option.
A) 29	B) 9	C) 1	D) 3	E) 19

Solution: 29 is an not multiple of 3 number. 29ll other given numbers are multiples of 3   29nswer : Option 29
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Choose the correct choice.
A) 5  B) 6.25  C) 6.75  D) 7  E) 7.25

Solution: Required run rate = 282 - (3.2 x 10)	/40	=	250/40= 
250/40 = 25/4 = around 6.25
6.25   Option 6.25
Answer: B
X does a work in 15 days. Y does the same work in 30 days. In how many days they together will do the same work? Choose the correct choice from the following choices:
A) 10
B) 12
C) 20
D) 30
E) 15

Solution: X's 1day's work= 1/15   Y's 1 day's work=1/30   (X+Y)'s 1day's work= (1/15+1/30)=1/10   both together will finish the work in 10 days.   correct option is 10
Answer: A
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 150 workers in the Palabras bookstore, how many of them have read both books? Choose one:
A) 13 B) 12 C) 9 D) 8 E) 7

Solution: There are total 150 workers.   Half of the workers in Palabras bookstore have read the latest book by J. Saramago,   So 75 have read Saramago.   1/6 of the workers have read the latest book by H. Kureishi.   So (1/6) * 150= 
(1/6) * 150 = 25
25 have read Kureishi   The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book   If B workers have read both books, 20 - B have read Saramago but not Kureishi.   So, (75 - B - 1) have read neither.   Total= n(A) + n(12) - 12oth + Neither   150 = 75 + 25 - 12 + (75 - 12 - 1)   12 = 12   Answer (12)
Answer: B
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:  Choose the most appropriate option.
A) 7/8
B) 1/8
C) 1/3
D) 1/7
E) 1/9

Solution: Original share of 1 person =1/8   New share of 1 person =1/7   Increase =1/7 -	1/8	=1/56   Required fraction =	(1/56)/(1/8)=(1/56)*(8/1)	=1/7   Answer is 1/7.
Answer: D
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?	Choose the correct choice from the following:
A) 59 B) 57 C) 59.5 D) 58 E) 55.5

Solution: 58   75 * T = 1 km => T = 1/60 km/h   V*(T+2/3600) = 1   V (1/60 + 2/3600) = 1 => V = 58 km/h
Answer: D
A and B complete a work in 7 days. A alone can do it in 14 days. If both together can do the work in how many days?
Pick: A) 4.6 days B) 4.78 days C) 5.65 days D) 3.77 days E) 5.75 days

Solution: 1/7 + 1/14 = 3/14   14/3 = 4.6 days   4.6 daysnswer:4.6 days
Answer: A
If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 5.  Choose the most appropriate option
A) 2
B) 5
C) 11
D) 3
E) 4

Solution: 6 * 15 * 5 = (√(6 + 2)(15 + 3) )/ (5 + 1)   = (√8 * 18) / 6   = (√144) / 6   = 12 / 6= 
12 / 6 = 2
2   2nswer is 2
Answer: A
The watch store down the street from Wendy's house has 2 leather watches, 1 gold watch, and 1 silver watch. How many watches does the store have in all?
Choose the correct choice from the following answers:
A) 10 B) 19 C) 04 D) 12 E) 07

Solution: Add the numbers of watches.   2 + 1 + 1= 
2 + 1 + 1 = 4
4.   Answer is 04.
Answer: C
A man bought a bike at 40% 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? Pick.
A) 2% B) 8% C) 6% D) 4% E) 10%

Solution: Original price = 100   CP = 60   S = 60*(180/100)= 
60*(180/100) = 108
108   100 - 108= 8%   Answer: 8%
Answer: B
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 4:9. Find the ratio of their corresponding heights .
Choose the correct choice from the following
A) 4/5
B) 5/4
C) 3/2
D) 5/7
E) 2/3

Solution: We are basically given that the triangles are similar.   In two similar triangles, the ratio of their areas is the square of the ratio of their sides and also, the square of the ratio of their corresponding heights.   Therefore, area/AREA=height^2/HEIGHT^2=4/9--> height/HEIGHT=2/3.   Answer: 2/3.
Answer: E
If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given by Choose the correct choice from the following answers
A) A = a - 3, B = b	B) A = a - 3, B = b2	C) A = a + 3, B = -2 b	D) A = a + 3, B = -2 b +3	E) None

Solution: Solution   We first solve 2y - 6 = - 4 f(x - 3) for y.   y = - 2 f(x - 3) + 3   The graph of y = - 2 f(x - 3) + 3 is that of y = f(x) shifted 3 units to the right, stretched vertically by a factor of 2, reflected on the x axis and shifted up by 3 units. A point of y = f(x) will undergo the same transforamtions. Hence   Point (a , b) on the graph of y = f(x)   Becomes (a + 3 , b) on the graph of y = f(x - 3) : shifted 3 units to the right   Becomes ( a + 3 , 2 b) on the graph of y = 2 f(x - 3) : stretched vertically by 2   Becomes ( a + 3 , - 2 b) on the graph of y = - 2 f(x - 3): reflected on x axis   Becomes ( a + 3 , - 2 b + 3) on the graph of y = - 2 f(x - 3) + 3 : shifted up 3 units   Answer A = a + 3, B = -2 b +3
Answer: D
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1200 m long? Choose the most appropriate option.
A) 200 Sec B) 240 Sec C) 167 Sec D) 197 Sec E) 179 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 2400 m   T = D/S   T = 2400/10= 
2400/10 = 240
240 Sec   Answer: 240 Sec
Answer: B
If x is a sum of all even integers on the interval 13...61 and y is their number, what is the GCD (x, y)?	Select the correct option.
A) 1	B) 13	C) 26	D) 24	E) 1014

Solution: x = 14 + 16 + ... + 60 = (largest + smallest)/2 *(# of terms) = (14 + 60)/2*24= 37*24.   GCD of 24 and 37*22 is 24.   Answer: 24.
Answer: D
During a trip on an expressway, Jon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?  Choose the correct choice from the following choices
A) 8.5% B) 50% C) x/12% D) 60/x% E) 500/x%

Solution: so Jon drove (x-5) miles at 60mph and 5 miles at 30mph:   (x-5)/60 + (10/60) = (X+5)/60 - current time to drive the whole distance   if the entire trip @60mph than time = x/60   so to get percent [(X+5)/60 ]/[x/60] x100   =(x+5)/x *100   =100+500/x   so increase of 500/x%[/u]=500/x%
Answer: E
A case of candy usually lasts Tomi 42 days when she eats 6 every day. She is going out of the country in 2 weeks so she wants to eat this case in 14 days instead. How many should she eat per day? Choose the correct choice from the following options.
A) 15
B) 12
C) 13
D) 17
E) 18

Solution: D1 C1 = D2 C2   So 42*6=14*D2 => 18=D2   Answer:18
Answer: E
Tickets numbered 1 to 10 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 2?	Choose the correct choice from the following choices
A) 1/3	B) 2/5	C) 1/2	D) 2/3	E) 1/4

Solution: Here, S = {1,2,3,......,9,10}   E= event getting a multiple of 3 = {2,4,6,8,10}   probability = 5/10 = 1/2   correct option is 1/2
Answer: C
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5? Pick one
A) 150	B) 154	C) 158	D) 160	E) 164

Solution: D = d * Q + R   D = 17 * 9 + 5   D = 153 + 5= 
153 + 5 = 158
158   158)
Answer: C
A total of 22 men and 35 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choose the correct choice from the following answers:  A) 31  B) 31.5  C) 32  D) 32.5  E) 33.1

Solution: Let Aw = average age of women   Average = (Number of men X average age of men + Number of women X average age of women)/total number of people   35 * 57 = 22 * 38 + 35 * Aw   =>1995 = 836 + 35 Aw   => 35 Aw = 1159   =>Aw = 33.1   Answer 33.1
Answer: E
In the quadrilateral PQRS d=10 cm, h1=5 cm and
h2=2.5 cm. Find the area	Select.
A) 21	B) 22	C) 37.5	D) 24	E) 25

Solution: area of quad.=1/2*any diagonal*(sum of 2 perpendiculars which is drawn on that diagona)   so 1/2*10*(5+2.5)= 
1/2*10*(5+2.5) = 37.5
37.5   ANSWER:37.5
Answer: C
If (c - a)/(c - b) =1, then (5b - 4a)/(c - a) =
Choices.
A) 0.5
B) 1
C) 1.5
D) 2
E) 2.5

Solution: Let's say c=3, b=1, a=1 so that our 1st expression holds true. Now, ibsert those numbers in the second expression and we'll get 0.5   0.5nswer 0.5 (hopefully )))
Answer: A
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/9, then the reciprocal of n must be
Pick:
A) Less than -3
B) Between -1 and -1/3
C) Between -1/3 and 0
D) Between 0 and 1/3
E) Greater than 3

Solution: n^2 < 1/9   abs(n) < 1/3   Since n<0, then 0 > n > -1/3   1/n < -3   The answer is Less than -3.
Answer: A
What is 0.02 percent of 12,356? Choose the correct choice:
A) 0.247	B) 2.47	C) 24.7	D) 0.0247	E) 0.00247

Solution: Since, Percent=1/100, what=something(s), and is:=. We can write the question as s=0.02(1/100)12,356. The answer is 2.47. Hence, the correct answer is 2.47.
Answer: B
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?	Choose the correct answer:
A) 993.2
B) 551.25
C) 534.33
D) 543.33
E) 646.33

Solution: Explanation:   Let each installment be Rs. x. Then,   x/(1 + 5/100) + x/(1 + 5/100)2 = 1025   820x + 1025 * 441   x = 551.25   So, value of each installment = Rs. 551.25   Answer: Option 551.25
Answer: B
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the price of the uniform?
Answers:  A) Rs.90  B) Rs.100  C) Rs.130  D) Rs.170  E) Rs.190

Solution: 9/12 = 3/4 * 900= 
3/4 * 900 = 675
675   650   -------------   25   1/4 -------- 25   1 --------- ?=> Rs.100   Rs.100
Answer: B
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?  Choose the correct choice from the following choices:
A) 37 ½ days  B) 22 days  C) 31 days  D) 20 days  E) 24 days

Solution: Explanation :   Work done by 37 ½ days in 20 days = 80/100 = 8/10 = 4/5   Work done by 37 ½ days in 1 day = (4/5) / 20 = 4/100 = 1/25 --- (1)   Work done by 37 ½ days and B in 3 days = 20/100 = 1/5 (Because remaining 20% is done in 3 days by 37 ½ days and B)   Work done by 37 ½ days and B in 1 day = 1/15 ---(2)   Work done by B in 1 day = 1/15 – 1/25 = 2/75   => B can complete the work in 75/2 days = 37 ½ days   37 ½ daysnswer : Option 37 ½ days
Answer: A
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 3 buckles is how many times that of 5 buckles and 6 buttons?	Choose the correct choice from the following: A) 7/15 B) 4/9 C) 6/11 D) 5/9 E) 8/15

Solution: Let x be the weight of a button and let y be the weight of a buckle.   2x + 2y = (1/3)(3x+11y)   3x = 5y   x = 5y/3   3x + 3y = a(6x+5y)   8y = a(15y)   a = 8/15   The answer is 8/15.
Answer: E
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?	Choose the correct choice from the following answers:
A) 79 B) 99 C) 88 D) 88 E) 75

Solution: Average = (76 + 65 + 82 + 67 + 85)/5   = 375/5= 
375/5 = 75
75.   Answer:75
Answer: E
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.82 per kg?
Choose one:
A) 5:8	B) 4:7	C) 3:7	D) 1:1	E) 9:8

Solution: (96-82)/(82-68)=14/14= 
14/14 = 1
1/1   ANSWER:1:1
Answer: D
A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 63 km downstream.	Choose the correct choice from the following options: A) 3 hours B) 5 hours C) 6 hours D) 7 hours E) 8 hours

Solution: Explanation:   It is very important to check, if the boat speed given is in still water or with water or against water. Because if we neglect it we will not reach on right answer. I just mentioned here because mostly mistakes in this chapter are of this kind only.   Lets see the question now.   Speed downstream = (16 + 5)= 
(16 + 5) = 21
21 kmph   Time= distance/speed = 63/21= 
63/21 = 3
3 hours   Option 3 hours
Answer: A
A sum of Rs.1460 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls Pick:
A) 8B, 5G
B) 5B, 8G
C) 4B, 9G
D) 9B, 4G
E) 9B, 5G

Solution: 120B+100G=1460-----i   B+G=13-------ii   from i   100B+20B+100G=1460   100(B+G)+20B=1460   100(13)+20B=1460   By simplifing we get   B=8;G=5   8B, 5GNSWER:8B, 5G
Answer: A
(1/10)18 - (1/10)20 = ?  Pick
A) 99/1020  B) 99/10  C) 0.9  D) 0.8  E) None of the above

Solution: (1/10)(18-20) = -2/10 = -0.2   ANSWNone of the aboveR:None of the above
Answer: E
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?	Choose the correct choice from the following answers
A) 2:0  B) 3:4  C) 4:9  D) 1.5  E) 1:5

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer: 1.5
Answer: D
A train covers a distance of 12 km in 10 min. If it takes 11 sec to pass a telegraph post, then the length of the train is?
Choose the most appropriate option.
A) 298
B) 220
C) 120
D) 776
E) 991

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 11= 
20 * 11 = 220
220 m.   Answer:220
Answer: B
On January 1, 2010, Dolly invests 30% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 20% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, Dolly has the same total amount of retirement savings as he did two years before, then x is between  Choices:
A) 10 and 20  B) 20 and 30  C) 30 and 40  D) 40 and 50  E) 50 and 60

Solution: Pick a smart number for the total retirement savings Dolly starts with—say, $10,000. (If you pick $100, you’ll wind up needing to track decimals, so give yourself more zeros to start with.)   Here are the starting values:   L = $3000   M = $3000   S = $4000   Apply the first year’s changes, so that you have these numbers on 1/1/2012:   Newer L = $3000 + 10% = $3300   Newer M = $3000 + 20% = $3600   Newer S = $4000 + 15% = $4600   Now apply the second year’s changes to L and M:   Newest L = $3300– 20% = $3300– $660 = $2640   Newest M = $3600– 10% = $3600– $360 = $3240   Add these to get $5880. So the newest S must be $10,000 (the target final total of Dolly’s retirement savings) minus $5880, $4120   The dollar change in S from 1/1/12 to 1/1/13 is $4600 – $480 = $4120. So the question is this: what percent change does $480 represent, from a starting point of $4600? Since $4600 is a nasty divisor, switch to benchmarks:   10% of $4600 = $460.   So 20% is just double that, or $920.   And so on.   From this $480 lies between $460 and $920   The correct answer is 10 and 20.
Answer: A
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choose the correct choice from the following choices:
A) 34%	B) 24%	C) 22%	D) 18%	E) 8.5%

Solution: et 100 be the total volume.   total salt = 10   salt taken out = 10/4= 
10/4 = 5/2 = around 2.5
2.5   to make solution 16%, total salt= 16   salt added = 16-7.5= 
16-7.5 = 8.5
8.5   solution had= 8.5/25*100= 
8.5/25*100 = 34
34% sugar   34%NSWER:34%
Answer: A
If a positive odd integer N has p positive factors, how many positive factors will N have ?  Pick one.
A) p	B) 2p	C) P+1	D) 2p+1	E) Cannot be determined

Solution: I have added some extra text to make this question more GMAT-like:   Let's TEST some values of N   Try N = 3   The factors of 3 are {1, 3}. Here, p =2   So, 2N = (2)(3) = 6   The factors of 6 are {1, 2, 3, 6}. So, we have a total of4   Now check the answer choices:   A) p =2No good. We want an output of4. ELIMINATE   B) 2p = (2)(2) = 4. PERFECT! KEEP B   C) P+1 =2+ 1= 
2+ 1 = 3
3 No good. We want an output of4. ELIMINATE   D) 2p+1= (2)(2) + 1 = 5 No good. We want an output of4. ELIMINATE   E) Cannot be determined. POSSIBLE. KEEP E   Let's TEST another value of N   Try N = 7   The factors of 7 are {1, 7}. Here, p =2   So, 2N = (2)(7) = 14   The factors of 14 are {1, 2, 7, 14}. So, we have a total of4   Now check the REMAINING answer choices:   B) 2p = (2)(2) =4. PERFECT! KEEP B   E) Cannot be determined. POSSIBLE. KEEP E   Let's TEST one more (non-prime) value of N   Try N = 9   The factors of 9 are {1, 3, 9}. Here, p =3   So, 2N = (2)(9) = 18   The factors of 18 are {1, 2, 3, 6, 9}. So, we have a total of6   Now check the REMAINING answer choices:   B) 2p = (2)(3) =6. PERFECT! KEEP B   E) Cannot be determined. POSSIBLE. KEEP E   At this point, it SEEMS LIKELY that the correct answer is P+1
Answer: C
A man sells two articles for Rs.3600 each and he gains 42% on the first and loses 42% on the next. Find his total gain or loss? Pick
A) 9% loss  B) 400  C) 4000  D) 17.64%loss  E) 8% LOSS

Solution: (42*42)/100= 
(42*42)/100 = 441/25 = around 17.64
17.64%loss   ANSWER:17.64%loss
Answer: D