MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of minute hand of a clock is 5.6 cm. What is the area covered by this in 10 minutes	Choose the correct option:
A) 15.27
B) 16.27
C) 17.27
D) 16.41
E) 19.27

Solution: area of circle is pi*r^2   but in 10 minutes area covered is  (10/60)*360= 
 (10/60)*360 = 60
60 degree   so formula is pi*r^2*(angle/360)=3.14*(5.6^2)*(60/360)=16.41 cm^2   ANSWER:16.41
Answer: D
From 2005 to 2015 the world's population grew by 11.27%, and from 2005 to 2010 the world's population grew by 6.20%. What was the percentage growth in the world's population from 2010 to 2015?
Choose the correct choice from the following options
A) 5%
B) 6%
C) 2%
D) 2.5%
E) 5.5%

Solution: Let the world's population in 2005 = x; then,   for 2005-2010, the population equation is x + 0.0620x = 1.0620x,   for 2005-2015, the population equation is x + 0.1127x = 1.1127x;   so, the growth from 2010 to 2015 = (1.1127x - 1.060x)/(1.062x) = 0.05 (rounded). Thus, the answer is 5%.   5%nswer is 5%
Answer: A
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?	Choose the correct choice from the following answers.
A) 50%
B) 60%
C) 40%
D) 64%
E) 75%

Solution: Explanation:   r = 3 Ï€r2 = 9   r = 5 Ï€r2 = 25   25 Ï€ â€“ 16 Ï€   100 ---- ? => 64%   ANSWER IS 64%
Answer: D
If the L.C.M of two numbers is 560 and their product is 42000, find the H.C.F of the numbers. Options.
A) 50	B) 30	C) 75	D) 25	E) None of these

Solution: H.C.F = (Product of the numbers) / (Their L.C.M) = 42000/560= 
42000/560 = 75
75.   ANSWER:75
Answer: C
The sum of present age of Abe and the age before 7 years is 29. Find the present age of Abe. What will be his age after 7 years? Choose the correct answer.
A) 25	B) 26	C) 27	D) 28	E) 29

Solution: Present age = x   Before 7yrs, y=x-7   25fter 7yrs, z=x+7   By the qn,   x+(x-7)=29   2x-7=29   2x=29+7= 
29+7 = 36
36/2= 
36/2 = 18
18   z=x+7   =18+7= 
18+7 = 25
25   25NSWER:25
Answer: A
Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 6 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?  Answers: A) 1/25 B) 1/30 C) 1/10 D) 2 E) 30

Solution: Pete covered 2.5*60= 
2.5*60 = 150
150 miles which correspond to 6 inches on the map --> scale in inches per mile is 6/150=1/25.   1/25nswer: 1/25.
Answer: A
An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?	Choose one.
A) 72  B) 44  C) 66  D) 01  E) 11

Solution: Let CP = Rs. 100x   SP = Rs. 120x   MP = 120x/80 * 100 = Rs. 150x   D = Rs. 150x - Rs. 120x = Rs. 30x   D - P = 30x - 20x = Rs. 6, 10x = Rs. 6   120x = 120/10 * 6 = Rs. 72   72nswer:72
Answer: A
One train is running with a speed 60 kmph and its length is 110 metres. Calculate the time by which it will pass a man running opposite with speed of 6 kmph.
Answers.
A) 6 sec  B) 3 sec  C) 2 sec  D) 1 sec  E) 10 sec

Solution: ==> (60+6)= 
(60+6) = 66
66 km/hr   m/sec= 66*5/18   55/3 k/sec   time = 110*3/55= 
110*3/55 = 6
6 sec   6 secNSWER 6 sec
Answer: A
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
Choose one:
A) 2 B) 5 C) 6 D) 7 E) 14

Solution: 3150*y = A^2   3 * 1050 * y = A^2   3*5*210*y = A^2   3*5*7*3*2*5*y = A^2   2*3^2*5^2*7*y = A^2   Concept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7   Hence 14	;   ANSW14R:14
Answer: E
In how many ways can five girls stand in line if Maggie and Lisa cannot stand next to each other?	Select the correct option
A) 112 B) 96 C) 84 D) 72 E) 60

Solution: 1. the total number of permutations: 5! = 120   2. Let's consider Maggie and Lisa as one object, then the total number of permutations with Maggie and Lisa together: 4! = 24.   3. Take into account that [Maggie, Lisa] and [Lisa, Maggie] are different.   4. Maggie and Lisa cannot stand next to each other in:   120 - 2*24= 
  120 - 2*24 = 72
72 ways.   ANS:72
Answer: D
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Choose the correct choice from the following choices:
A) 50 km	B) 56 km	C) 70 km	D) 80 km	E) 90 km

Solution: Explanation:   Let the actual distance travelled be x km.   Then,	x/10 =x + 20/14   14x = 10x + 200   4x = 200   x = 50 km.   50 kmNSWER IS 50 km
Answer: A
A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water? Pick one:	A) 86	B) 67	C) 35	D) 15	E) 17

Solution: US = 25   DS = 45   M = (45 + 25)/2= 
(45 + 25)/2 = 35
35   Answer: 35
Answer: C
Which is greater than -1?
Choose the most appropriate option:
A) -5
B) -4
C) -3
D) -2
E) 0

Solution: -1 greater than 0.   Answer: 0
Answer: E
In how many different ways can 6 people be seated in a room with 8 chairs?  Select the correct option:
A) 20,160
B) 181,440
C) 403,200
D) 1,814,400
E) 3,628,800

Solution: Order doesn't matter   With 8 chairs and only 6 to seat   6!- Number of ways the 6 can seat on the chair   8C2 - Number of ways the 2 empty sits can be vary with the 6 seated   6! * 8C2 = 20,160 20,160nswer - 20,160
Answer: A
Madhav ranks seventeenth in a class of thirtyone. What is his rank from the last?	Pick.
A) 13	B) 14	C) 15	D) 16	E) 17

Solution: (Rank from top) + (Rank from bottom) - 1 = Total students   17 + x - 1 = 31   x = 15   ANSWER:15
Answer: C
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.20 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October? Answers.
A) 2.80x B) 1.20x C) 1.40x D) 1.60x E) 3.20x

Solution: because we have a total of 4X   2.80xlso from Mar- Oct the rakes will be deducted by 1/8 X   so   In 2.80xpr they pay for the storage 0.2 * 4X * 7/8   In May they pay for the storage 0.2 * 4X * 6/8   In Jun they pay for the storage 0.2 * 4X * 5/8   In Jul they pay for the storage 0.2 * 4X * 4/8   In 2.80xug they pay for the storage 0.2 * 4X * 3/8   In Sep they pay for the storage 0.2 * 4X * 2/8   In Oct they pay for the storage 0.2 * 4X * 1/8   total = 0.2 * 4X * 1/8 * [ 1+2+3+4+5+6+7]   = 0.2 * X/2 * (28)   = 2.8X   2.80x
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?  Choose the correct answer: A) 29 B) 77 C) 28 D) 10 E) 12

Solution: lb = 150   2(l + b) = 50 => l + b = 25   l – b = 5   l = 15 b = 10   Answer:10
Answer: D
Goldenrod and No Hope are in a horse race with 6 contestants. How many different R arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race? Select the correct option.
A) 720
B) 360
C) 120
D) 24
E) 21

Solution: no hope finishing before goldenrod= 1/2 of the times   therefore the different R arrangements are 1/2* 6! = 360 = 360
Answer: B
Ram, who is half as efficient as Krish, will take 27 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task? Choose one:
A) 16 days
B) 12 days
C) 9 days
D) 6 days
E) 18 days

Solution: Number of days taken by Ram to complete task = 27   Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days   If total work done by Ram in 27 days is 27w   Amount of work done by Ram in 1 day = w   Amount of work done by Krish in 1 day = 2w   Total amount of work done by Krish and Ram in a day = 3w   Total amount of time needed by Krish and Ram to complete task = 27w/3w = 9 days   Answer 9 days27 /3= 
27 /3 = 9
9 days   Answer 9 days
Answer: C
Kelvin earns $60 a week from his job. His income increased and now makes $70 a week. What is the percent increase?  Choices
A) 16.66%  B) 16.87%  C) 17.62%  D) 17.85%  E) 18%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: A
A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Choose the correct answer.
A) Rs. 1846 B) Rs. 18846 C) Rs. 13846 D) Rs. 2000 E) Rs. 14846

Solution: Principal = (100 * 5400) / (13 * 3) = Rs. 13846   ANSWER:Rs. 13846
Answer: C
You enter a weight loss challenge game and manage to lose 10% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Answers: A) 13% B) 8.2% C) 9% D) 14% E) 12%

Solution: (100%-10%)*(100%+2%) = 0.90*1.02 = 8.2%   The weigh in records your weight loss at 8.2%!   The Answer is 8.2%
Answer: B
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 5x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters) Select the correct option
A) 92
B) 60
C) 82
D) 78
E) 75

Solution: The question say:A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters)   In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters.   A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters).   The question doesn't specify whether this tank should have a closed top or an open top. (The real GMAT is good about specifying things like that.) Here, we are going to assume a closed top, only because if the top is open, we don't use enough metal --- we get an answer smaller than any of the answer choices. A closed-top cube, a full cube, has 6 sides, each of which is (10 meters) x (10 meters). That's a total surface area of 600 sq m.   The question tells us:he has only 5x2 meter sheets of metal that can be cut.   Each sheet has an area of 10 sq m. How many of these need to fill up 600 sq m? 600/110 = 60. He needs 60 sheets.   Answer =60
Answer: B
Three numbers are in the ratio 3:4:5 and their L.C.M. is 240. Their H.C.F is?
Choose the correct choice
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: Let the numbers be 3x,4x and 5x   their L.C.M. = 60x   60x = 240   x = 4   The numbers are 3*4 , 4*4 , 5*4   Hence required H.C.F. = 4   Answer is 4
Answer: C
In how many different ways can the letters of the word ‘MODE’ be arranged?	Choose the correct choice from the following options:
A) 60  B) 24  C) 36  D) 12  E) 16

Solution: B   24   The word SMART has 4 distinct letters.   Number of arrangements = 4!   = 4 × 3 × 2 × 1 = 24   Answer is 24
Answer: B
WINK,INC recently conducted a survey and found that 180,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of WINK,INC customers live in urban areas ?  Choices:
A) 200,000	B) 216,000	C) 360,000	D) 480,000	E) 540.0

Solution: Let's say that we have a starting value of X...   100% of X = X   100% MORE than X = X + X = 2X   200% MORE than X = X + 2X = 3X   300% MORE than X = X + 3X = 4X   Etc.   Here, we're told that 180,000 customers live in rural areas and the number who live in urban areas is 200% GREATER than the number who live in rural areas. That means that the number who are in urban areas is 3 times the number in rural areas...   3(180,000) = 540,000   Final Answer:540.0
Answer: E
If the price of sugar rises from Rs. 6 per kg to Rs. 7.50 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by  Choose the correct choice
A) 15%  B) 20%  C) 25%  D) 30%  E) none

Solution: Sol.   Let the original consumption = 100 kg and new consumption = x kg.   So, 100 x 6 = x × 7.50 = x = 80 kg.   ∴ Reduction in consumption = 20%.   Answer 20%
Answer: B
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 8 years ago was 20 years. The present age of the husband is: Answers:
A) 20 years
B) 30 years
C) 60 years
D) 34 years
E) 35 years

Solution: D   34 years   Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.   Sum of the present ages of wife and child = (20 x 2 + 8 x 2) years = 56 years.   Husband's present age = (90 - 56)= 
(90 - 56) = 34
34 years.
Answer: D
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number W of people surveyed by the company? Choose the correct answer:  A) 46  B) 80  C) W.90  D) W.100  E) 200

Solution: 100 = x + x - 20 + 23 - 23   x = 60,   So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%   23% of the total no. of people should be an integer. So, A,BC are out.   60% of D and 40% of D are both integers. So, D satisfies all conditions.   So, answer is W.100.
Answer: D
Stephanie, Regine, and Brian ran a 20 mile race. Stephanie and Regine's combined times exceeded Brian's time by exactly 2 hours. If nobody ran faster than 8 miles per hour, who could have won the race?
I. Stephanie
II.Brian
III. Regine
Select the correct option.
A) I only  B) II only  C) I or III only  D) I or II only  E) I, II, or III

Solution: Given that S+R=B+2, where S, R, and B are times in which Stephanie, Regine, and Brian completed the race.   Min time one could complete the race is  20/8= 
 20/8 = 5/2 = around 2.5
2.5 hours. Let's see if Brian could have won the race: if he ran at the fastest rate, he would complete the race in 2.5 hours, so combined time needed for Stephanie and Regine would be S+R=B+2=4.5 hours, which is not possible as sum of two must be more than or equal the twice the least time: 2*2.5= 
2*2.5 = 5
5. So Brian could not have won the race.   There is no reason to distinguish Stephanie and Regine so if one could have won the race, another also could. So both could have won the race.   Answer: I or III only.
Answer: C
The average monthly salary of 20 employees in an organisation is Rs. 1200. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ? Pick one:
A) 3600	B) 3890	C) 3300	D) 2789	E) 2891

Solution: Explanation:   Manager's monthly salary Rs. (1300 * 21 - 1200 * 20) = Rs. 3300.   Answer: 3300
Answer: C
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?	Choose the correct choice from the following answers:
A) 27 7/6  B) 27 7/5  C) 27 7/4  D) 27 7/9  E) 27 7/3

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.   Answer:27 7/9
Answer: D
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 2000 Km? Choose the correct choice from the following:
A) 10.	B) 25.	C) 30.	D) 38.	E) 100.

Solution: Total distance= Distance travelled by A +Distance travelled by car B   Distance= speed*time   Distance of A= 3x * 6   Distance of B= x*2   (3x * 6) + (x*2) = 2000   x= 100 KM/hr   100. is the answer
Answer: E
What will come in place of the x in the following Number series? 5,28,57,88,125	Choose the most appropriate option:
A) 125
B) 153
C) 166
D) 187
E) 193

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125= 
41+125 = 166
166   166
Answer: C
Two numbers N and 12 have LCM = 48 and GCF = 8. Find N.  Answers:  A) 24  B) 34  C) 44  D) 54  E) 32

Solution: The product of two integers is equal to the product of their LCM and GCF. Hence.   12 × N = 48 × 8   N = 48 × 8 / 12 = 32   correct answer 32
Answer: E
20% of a number is more than 40% of 140 by 80. Find the number?	Select the correct option.
A) 680  B) 620  C) 652  D) 520  E) 458

Solution: (20/100) * X – (40/100) * 140= 80   1/5 X = 136   X = 680   680nswer:680
Answer: A
A person want to give his money of $1800 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?  Pick one:
A) $700 B) $600 C) $900 D) $500 E) $400

Solution: $600's share = 1800*3/9= 
1800*3/9 = 600
$600   Answer is $600
Answer: B
A car was driving at 60 Km/h for 20 minutes, and then at 90Km/h for another 40 minutes. What was its average speed?
Choose the correct choice from the following choices
A) 80.  B) 75  C) 70  D) 65.  E) 54.

Solution: driving at 60 Km/h for 20 minutes ,distance covered = 60*1/3= 
60*1/3 = 20
20 km   driving at 90 km/h for 40 minutes ,distance covered= 90*2/3= 
90*2/3 = 60
60 km   average speed= total distance/total time = 80/1= 
80/1 = 80
80 km/h   80.NSWER:80.
Answer: A
A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
Choose the correct choice from the following choices: A) 200 kg B) 300 kg C) 400 kg D) 600 kg E) 800 kg

Solution: By rule of alligation,   Profit% by selling 1st part	Profit% by selling 2nd part   8	18   Net % profit   14   18-14= 
18-14 = 4
4	14-8=6   => Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3   Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)   =1000×35   = 600 kg   600 kg
Answer: D
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 0
II. y = 0
III. x = y  Select the correct option
A) I only
B) II only
C) III only
D) I and III only
E) I, II, and III

Solution: Answer choice A is correct.   The question gives you x^2=xy   you can simplify that as x^2-xy=0   x(x-y)=0 the solution will be either x=0 or x=y, since x and y are different integers x cannot equal y, that leaves you x=0 to be the only answer.   Answer I and III only
Answer: D
If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be?	Select
A) 2
B) 4
C) 6
D) 7
E) 8

Solution: Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.   x = 2.   2)
Answer: A
Which of the following fractions is less than 1/3 Choices
A) 22/62 B) 15/46 C) 15/39 D) 2/3 E) 1

Solution: 1/3=0.3333333   22/62=0.35>0.3333   15/46=0.331   ANSWER:15/46
Answer: B
A monkey tries to ascend a greased pole 14 m high. He ascends 2 m in first minute and slips 1 min next alternate minute. If he continues to ascend in this fashion, how long does he take to reach the top?
Choices.
A) 22 B) 24 C) 25 D) 26 E) 30

Solution: Monkey ascends 2 m in 1 minutes and slips 1 m in next minute.   It means he ascends    2 - 1= 
 2 - 1 = 1
1 m in every two minutes.   Take 2 minutes= 1 unit of time.   It will take 12 unit of time to climb 12 m of the pole.   In next 1 minute, he will covered 2 m and reached the top. So,   Total time = 12 unit + 1 = 24 +1= 
24 +1 = 25
25 minutes.   ANSWER : OPTION 25
Answer: C
Seven years ago, the combined ages of Amir and Akshay was twice that of Saif. If the sum of the ages of Akshay and Amir, fifteen years hence, is 98 years, what is the present age of Saif?  Choose the correct choice from the following: A) 27 yr B) 35 yrs C) 34 yrs D) 49 yr E) 29 yr

Solution: Amir -- M   Akshay ..K   Saif .. S   M+K =2S   M+K+30= 98   M+K=68   S= 68/2= 
68/2 = 34
34 yrs   ANSWER:34 yrs
Answer: C
If each digit in the set of A = {1,2,3,4,5,6,7,8} is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent? Choose the correct answer.
A) 8! / 7!
B) 8! - 7!
C) 6*7!
D) 8!/2!
E) 7!

Solution: The answer should be the (total arrangements) - (arrangements when 2 and 5 are adjacent).   The number of ways to arrange 8 units is 8!   If we think of 2 and 5 as one single unit, the number of arrangements is 7!   Note that 2 and 5 can have two arrangements, so we multiply by 2 to get 2*7!   The total number of valid arrangements is 8! - 2*7! = 8*7! - 2*7! = 6*7!   The answer is 6*7!.
Answer: C
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is	Choices.
A) 12%
B) 13%
C) 14%
D) 15%
E) 16%

Solution: Explanation:   Suppose he bought 5 kg and 3 kg of tea.   Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.   Selling price = Rs. (8 x 21) = Rs. 168.   Profit = 168 - 150= 
168 - 150 = 18
18   So, Profit %= (18/150) * 100= 
(18/150) * 100 = 12
12%   Option 12%
Answer: A
7 teams compete in a track competition. If there are 15 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Pick one:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: 3(max wins) x 5 = 15 (5 teams win three events)   The answer is 5.
Answer: C
Each factor of 240 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 15? Choose the most appropriate option
A) 1/16
B) 5/42
C) 1/8
D) 3/16
E) 1/4

Solution: the # of factors 240 has is 20;   so out of 20 factors only four are multiples of 15: 15, 30, 60, 120 and 240, itself;   So, the probability is 5/20=1/4.   Answer: 1/4.
Answer: E
If Jake loses 35 pounds, he will weigh thrice as much as his sister. Together they now weigh 275 pounds. What is Jake's present weight, in pounds?  Pick.
A) 131  B) 135  C) 139  D) 147  E) 188

Solution: J = Jake’s current weight, in pounds   S = Sister’s current weight, in pounds   We are told that “If Jake loses 8 pounds, he will weigh twice as much as his sister.We put this into an equation:   J – 35 = 3S   J = 3S + 35 (Equation 1)   Next, we are told that “Together they now weigh 275 pounds.” We can also put this into an equation.   J + S = 275 (188quation 2)   To solve this equation, we can substitute 2S + 8 from 188quation 1 for the variable J in 188quation 2:   3S + 35 = 275-S   4S = 240   S = 60   J + 60 = 275   J = 215   Answer: 188
Answer: E
If the radius of a circle is diminished by 10%, then the area is diminished by: Choose the correct choice
A) 200%
B) 210%
C) 300%
D) 310%
E) None of these

Solution: Explanation:   Let the original radius be R cm. New radius = 2R   Area=πR2   New Area =π2R2   =4πR2   Increase in area =(4πR2−πR2)=3πR2   Increase percent =3πR2 /πR2∗100=300%   Option 300%
Answer: C
The distance from Steve's house to work is 28 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?  Pick one:  A) 5.  B) 10.  C) 14.  D) 15.  E) 20.

Solution: Time is in the ratio 2:1 :: to: fro office   Therefore, 2x+1x=6 hrs   Time take to come back - 2 hrs, distance travelled - 28km => Speed = 14kmph   14.
Answer: C
Which of the following numbers is divisible by 4?  Pick one
A) 27767 B) 10224 C) 26778 D) 26679 E) 26711

Solution: 10224. This is the only option with last two digits divisible by 4   Answer:10224
Answer: B
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?	Answers:
A) 18  B) 27  C) 40  D) 37  E) 29

Solution: Let the mother's present age be x years. Then, the person's present age = 2/5 x years.   (2/5 x + 8) = 1/2 (x + 8)   2(2x + 40) = 5(x + 8) => x = 40   Answer: 40
Answer: C
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?	Choices.
A) 122456	B) 145778	C) 456678	D) 235467	E) 220030

Solution: (555 + 445) * 2 * 110 + 30 = 220000 + 30= 
220000 + 30 = 220_030
220030   220030
Answer: E