MU-NLPC/Calc-aqua_rat huggingface dataset:
Mrs. Rodger got a weekly raise of $155. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.  Choose the correct answer:
A) $204  B) $231  C) $156  D) $155  E) $200

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 155.   So after completing the 1st week she will get $ (x+155).   Similarly after completing the 2nd week she will get $ (x + 155) + $ 155.   = $ (x + 155 + 155)   = $ (x + 310)   So in this way end of every week her salary will increase by $ 155.   $155
Answer: D
When 242 is divided by a certain divisor the remainder obtained is 12. When 698 is divided by the same divisor the remainder obtained is 16. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 10. What is the value of the divisor?
Choose one.
A) 11	B) 18	C) 13	D) 23	E) None of these

Solution: let that divisor be x   since remainder is 12 or 16 it means divisor is greater than 16.   now  242-12= 
 242-12 = 230
230=kx (k is an integer and 234 is divisble by x)   similarly  698-16= 
 698-16 = 682
682= lx (l is an integer and 689 is divisible by x)   adding both 698 and 242   = (230+682)+12+16   =x(k+l) + 28   when we divide this number by x then remainder will be equal to remainder of (28 divided by x) = 10 hence x = 28-10= 
28-10 = 18
18   hence 18
Answer: B
10 women can complete a work in 5 days and 10 children take 10 days to complete the work. How many days will 5 women and 10 children take to complete the work?  Choose the correct choice from the following choices.
A) 4  B) 5  C) 7  D) 8  E) 2

Solution: 1 women's 1 day work = 1/50   1 child's 1 day work = 1/100   (5 women + 10 children)'s 1 day work   = (5/50 + 10/100) = 1/5   5 women and 10 children will complete the work in 5 days.   5
Answer: B
Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 1, she will stop rolling the cube. What is the probability that Molly will roll the die less than 3 times before stopping?
Choose the correct choice.
A) 11/180 B) 125/216 C) 25/216 D) 11/216 E) 27/128

Solution: The probability that Molly will roll the die less than 4 times before stopping is the sum of the following:   The probability that Molly will roll the die once: P=1/6 (she gets 1 on the first roll);   The probability that Molly will roll the die twice: P=5/6*1/6 (not 1, 1);   P = 1/6 + 5/6*1/6 = 11/216.   Answer: 11/216.
Answer: D
Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?
Choose the correct choice:
A) 120/11 min past 9	B) 120/11 min past 8	C) 120/11 min past 5	D) 120/11 min past 3	E) 120/11 min past 2

Solution: In this type of problems the formulae is   x is replaced by the first interval of given time Here i.e 8   = min   Therefore the hands will be in the same straight line but not   together at min.past 8.   Answer: 120/11 min past 8
Answer: B
The perimeter of one square is 48 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?	Choose one:
A) 5 cm B) 13√2 cm C) 12 cm D) 6 cm E) 8 cm

Solution: Explanation:   4a = 48 4a = 20   a = 12 a = 5   a^2 = 144 a^2 = 25   Combined area = a^2 = 169 => a = 13   d = 13√2 cm   Answer : 13√2 cm
Answer: B
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is  Choices:
A) 7 hrs 95 min  B) 7 hrs 49 min  C) 7 hrs 45 min  D) 7 hrs 15 min  E) 6 hrs 45 min

Solution: Given that time taken for riding both ways will be 2 hours lesser than   the time needed for waking one way and riding back   From this, we can understand that   time needed for riding one way = time needed for waking one way - 2 hours   Given that time taken in walking one way and riding back = 5 hours 45 min   Hence The time he would take to walk both ways = 5 hours 45 min + 2 hours = 7 hours 45 min   In fact, you can do all these calculations mentally and save a lot of time   which will be a real benefit for you.   Answer:7 hrs 45 min
Answer: C
An advertising agency finds that, of its 105 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?  Options:  A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Total=105   Television=115   Radio=110   Magazine=130   All the three =105-115-110-130+85+75+95= 
105-115-110-130+85+75+95 = 5
5   ANSWER 5
Answer: D
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 2% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?  Pick:
A) 4 : 5
B) 5 : 4
C) 2 : 7
D) Data inadequate
E) None of these

Solution: Let the population of males = x; then the population of females = 9000 – x   Now, 2% of x + 8% of (9000 – x)   = (9600 – 9000 ) = 600   or 0.02x + 720 – 0.08x = 600   or 720 – 600 = 0.08x – 0.02x   or, 120 = 0.06x   x = 2000   Reqd ratio of population of males and females   2000/9000−2000=2000/7000=2:7   Answer 2 : 7
Answer: C
If the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline, by how much percent should he reduce the quantity of gasoline that he buys?  Choose the correct answer:
A) 6.66%  B) 8%  C) 10%  D) 12%  E) 12.5%

Solution: Let price of original price of gasoline = 10$   and let original consumption of gasoline = 10   Amount spend on gasoline originally = 10*10= 
10*10 = 100
100$   the price of gasoline increases by 25% and Ron intends to spend only 15% more on gasoline   Increased price of gasoline= 12.5$   Now Ron intends to spend on gasoline =1.15*100= 
1.15*100 = 115
115$   Consumption of gasoline needs to be= 115/12.5   = 1150/125   = 46/5= 
46/5 = 46/5 = around 9.2
9.2   Reduction in consumption of gasoline= 10-9.2= 
10-9.2 = 0.8
.8   % reduction in consumption of gasoline= .8/10 * 100= 
.8/10 * 100 = 8
8%   Answer 8%
Answer: B
P and Q started a business investing Rs. 48,000 and Rs. 24,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choose the correct choice from the following answers.
A) 2:6
B) 2:3
C) 2:1
D) 17:9
E) 17:4

Solution: P:Q = 48000 : 24000   = 2:1.   Answer:2:1
Answer: C
If p and q are positive integers, which of the following can never be the greatest common divisor of 48p and 18q? Choose the most appropriate option:
A) 48	B) 48p	C) 18q	D) 6(p-q)	E) 16q

Solution: Greatest Common Factor of 48p and 18q = 6 or 6p or 6q ( A multiple of 6 )   Now, check the options , except (E) all are multiple of 6..   Hence ANSW16qR:16q
Answer: E
On a trip covering 850 km, a bicyclist travels the first 400 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?  Choices
A) 16.0  B) 16.5  C) 17.0  D) 17.5  E) 18.0

Solution: time 1 = 400 / 20= 
400 / 20 = 20
20 hours   time 2= 450 / 15= 
450 / 15 = 30
30 hours   total time= 50 hours   average speed = 850 / 50= 
850 / 50 = 17
17 km/hr   The answer is 17.0.
Answer: C
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?  Select the correct option
A) 76 kg
B) 76.5 kg
C) 85 kg
D) 90 kg
E) NOne

Solution: Sol.   Total weight increased   = (8 × 2.5) kg   = 20 kg.   Weight of new person   = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer 85 kg
Answer: C
A ladder 25m long reaches a window of building 20m above the ground. Then the distance of the foot of the ladder from the building is?  Choose the correct answer: A) 35m B) 45m C) 30m D) 15m E) 25m

Solution: let it forms a right angled triangle and follow c^2=a^2+b^2   then 25^2=20^2+b^2   b^2=625-400   b=15   ANSWER:15m
Answer: D
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?	Choices:
A) 11	B) 20	C) 77	D) 26	E) 12

Solution: Distance = Relative Speed * Time   = (2 + 3) * 4= 
(2 + 3) * 4 = 20
20 km   [ They are travelling in the opposite direction, relative speed= sum of the speeds].   Answer: 20
Answer: B
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 588, what was his profit?  Choose the correct option:  A) s. 64  B) s. 69  C) s.108  D) s.75  E) s.90

Solution: C.P. = Rs. (100/122.5)x588   = Rs. (1000/1225)x588   = Rs. 480   Profit = Rs. (588 - 480) = Rs. 108.   Answer:s.108
Answer: C
A rainstorm increased the amount of water stored in State J reservoirs from 180 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?	Select the correct option:
A) 90
B) 114
C) 125
D) 130
E) 144

Solution: After the reservoir is filled to 200 gallons the amount of water is at 60% - which means that 40% of the reservoir is empty. To figure out what that 40% is approximate: 200 gallons /60 percent = x gallons /40 percent , therefore, x = 133.33 gallons , answer choices A,B,C,D are below 133.33 . We know that the reservoir must be short more than 133.33 gallons, therefore, the only possible choice is 144.
Answer: E
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 29.16, the number of the member is the group is:	Choose the correct choice from the following options.
A) 57 B) 54 C) 77 D) 87 E) 97

Solution: Money collected =(29.16 x 100) paise = 29.16 paise   numbers of members = 2916 squareroot = 54   Answer 54
Answer: B
If 15% of 30% of 50% of a number is 90, then what is the number?	Pick
A) 4000	B) 3050	C) 4400	D) 4500	E) None of these

Solution: Let the number be a   Given, 15/100 * 30/100 * 50/100 * a = 90   => 3/20 * 3/10 * 1/2 * a = 90   => a = 10 * 20 * 10 * 2= 
10 * 20 * 10 * 2 = 4_000
4000.   4000NSWER:4000
Answer: A
There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?  Choose the correct choice from the following choices: A) 32 B) 75 C) 12 D) 51 E) 47

Solution: Number of ways in which one can travel from P to R   =3×4=12=3×4=12   Ans: 12
Answer: C
The average (arithmetic mean) of four different positive integers is 4. If the first of these integers in 3 times the second integer and the second integer is 6 less than the third integer, what is the least possible value of the fourth integer?
Choose the most appropriate option
A) 5
B) 3
C) 4
D) 2
E) 1

Solution: Let the second integer be x and the fourth be a.   Then [3x + x + (x+2) + a]/4 = 9   => 5x + 2 + a = 36   => 5x + a = 34   => a = 34 - 5x   From the above equation we can see that a is minimum when x is maximum, provided both are positive   The maximum value that x can take in the above equation while still keeping a positive is x=6   This gives us a= 34 - 30= 
34 - 30 = 4
4   Therefore the minimum value that the fourth integer can have is 4.   Answer:4
Answer: C
A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio of students per class?	Options
A) 3 B) 4 C) 6 D) 8 E) 12

Solution: Number of classes now : 120/x, where x is the number of students per class.   When it is increased by 1, Number of classes will be 120/(x+1).   We are told, 120/x - 120/(x+1) = 10 => Solving x = 3.   3NSWER:3
Answer: A
6^5 + 6^5 + 6^5 + 6^5 =  Answers:
A) 6^6
B) 7^6
C) 4^8
D) 4^9
E) 4^12

Solution: Hi shakticnb,   Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think about how you might change the way that the information is presented to you.   Here, for example, we're asked for....   6^5 + 6^5 + 6^5 + 6^5 =   Now, the GMAT doesn't really expect us to calculate this sum (but we could if we had to), but we are expected to find a way to organize this information... If, instead of all of those exponents, we had...   X + X + X + X =   What would the sum be?   Clearly, it would be 4(X) = 4X.....since we're just combining 'like' terms. Take that same idea with this prompt and you have...   6^5 + 6^5 + 6^5 + 6^5 =   6(6^5)   This can be re-written as...   (6^1)(6^5)   ...and now we can use exponent rules; since we're MULTIPLYING 'bases' that are the same, we ADD the exponents...   (6^1)(6^5) = 6^6   Final 6^6nswer:   6^6
Answer: A
On the first day of her vacation, Louisa traveled 240 miles. On the second day, traveling at the same average speed, she traveled 420 miles. If the 240-mile trip took 3 hours less than the 420-mile trip, what was the average speed, in miles per hour?
Choose the correct choice from the following choices
A) 65	B) 50	C) 55	D) 60	E) 58

Solution: (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 240/t = 420/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 240/4= 
240/4 = 60
60   Answer: 60
Answer: D
One hour after Adrienne started walking the 60 miles from X to Y, John started walking from X to Y as well. Adrienne walks 3 miles per hour and John walks 1 mile per hour faster than Adrienne. How far from X will John be when he catches up to Adrienne?  Choices
A) 12 miles	B) 9 miles	C) 10 miles	D) 11 miles	E) 18 miles

Solution: First, determine how far Adrienne has walked in the one hour. She has walked three miles which means she is three miles ahead of John when he sets off. John walks at four miles/hour which means that every hour, John will get one mile closer to Adrienne. If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and she travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.   A slightly different way to solve...   We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,   r*t (John ) = r*t (adrienne)   r*(t) = r*(t+1)   4t = 3t+3   t=3   d=r*t   d=4*3= 
4*3 = 12
12   12 miles) 12 miles
Answer: A
5358 x 55 = ?	Pick:	A) 272258	B) 272358	C) 294690	D) 274258	E) 274358

Solution: 5358 x 51	= 5358 x (50 + 5)   = 5358 x 50 + 5358 x 5   = 267900 + 26790= 
267900 + 26790 = 294_690
294690.   294690)
Answer: C
A student gets 50% in one subject, 60% in the other. To get an overall of 60% how much should get in third subject.  Pick one:
A) 75%	B) 70%	C) 45%	D) 55%	E) 65%

Solution: Let the 3rd subject % = x   50+60+x = 3*60   110+x =180   x = 180-110= 
180-110 = 70
70   Answer :70%
Answer: B
Dhoni has x dollars more than Rahul has, and together they have a total of y dollars. Which of the following represents the number of dollars that Rahul has?  Choices:  A) (y – x)/3  B) (y – x)/2  C) (y – x)/4  D) (2y – x)/2  E) (y – x)/5

Solution: To solve, we will set up two equations. Let's start by defining two variables.   R = number of dollars Rahul has   D= number of dollars Dhoni has   We are given that Dhoni has x dollars more than Rahul. We set up an equation:   D= x + R   We are next given that together they have a total of y dollars. We can set up our second equation:   R + D = y   Since we know that D = x + R, we can substitute x + R for D into the second equation R+ D = y.   Notice that, after the substitution, we will only have variables of R, x, and y. Thus, we have:   R + x + R = y   2R + x = y   2R = y – x   R = (y – x)/2   Answer : (y – x)/2
Answer: B
If the 9th day of a month is two days earlier than Monday, What day will it be on the nineteenth day of the month?
Choose the correct choice from the following options
A) Saturday
B) Tuesday
C) Sunday
D) Wednesday
E) Friday

Solution: Explanation:   Given that 9th day of a month is two days earlier than Monday   => 9th day is Saturday   => 16th is Saturday   => 19th is Tuesday   Answer: Option Tuesday
Answer: B
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median T of x, y, and z?
I. 9
II. 10
III. 11	Choose one
A) I only  B) II only  C) III only  D) I and II only  E) I and III only

Solution: Average gives us an idea that 3 nos. are close to 10.   so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.   Let us see options.   If 9 has to be median T.   1st term has to less than 9 or equal to 9. (also maintain z-x = 3)   9 9 12 --> satisfies all conditions so 9 can be a median value.   If 11 has to be a median   3rd term has to be 11 or more than 11. (also maintain z-x = 3)   8 11 11 -->satisfies all conditions so 9 can be a median value.   Now for 10 to be median.   z+ x = 20 and z-x = 3, we wont have integer values of z.   10 cannot be a median   I and III only is the answer.
Answer: E
If s and t are positive integers such that s/t = 64.24, which of the following could be the remainder when s is divided by t?
Select the correct option:
A) 15	B) 20	C) 25	D) 30	E) 35

Solution: 0.24 = 24/100 = 6/25   The remainder must be divisible by 6.   The answer is 30.
Answer: D
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 4 hours. Working alone, the outlet pipe can empty out the tank in 8 hours. If it is desired that the tank should be filled, from empty, exactly 6 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?  Pick one:
A) 11:00am
B) 10:30am
C) 9:30am
D) 10:00am
E) 11:30am

Solution: In 6 hours the inlet pipe will pump in water equal to 6*1/4 = 6/4 of the pool. So, 2/4 more than necessary, which should be compensated by the outlet pipe. To pump out 2/4 of the water the outlet pipe needs 16/4= 
16/4 = 4
4 hours.   Therefore, the outlet pipe should be opened at 9:30am + 6 hours - 4 hours= 11:30am.   Answer: 11:30am
Answer: E
Set A: 3, q, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – q?	Choose the correct choice from the following answers.
A) -2 B) -1 C) 0 D) 1 E) 2

Solution: So we have even no. of elements in the Set   So median is the average of Middle two numbers   (q+8)/2= (y+9)/2   y - q= -1   Answer -1
Answer: B
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 36 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions? Choose the most appropriate option
A) 10 sec
B) 16 sec
C) 19 sec
D) 7.2 sec
E) 13 sec

Solution: RS = 60 -40= 
60 -40 = 20
20 * 5/18= 100/18   T = 36   7.2 sec = 36 * 100/18= 
36 * 100/18 = 200
200   RS= 60 + 40= 
60 + 40 = 100
100 * 5/18   T= 200 * 18/500= 
200 * 18/500 = 36/5 = around 7.2
7.2 sec   Answer: 7.2 sec
Answer: D
$500 will become $1000 in 5 years find the rate of interest? Options
A) 10%	B) 20%	C) 25%	D) 30%	E) 50%

Solution: SI = simple interest = A-P = 1000-500= 
1000-500 = 500
$500   R= 100SI/PT = 100*500/500*5 =20%   Answer is 20%
Answer: B
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Select the correct option
A) 11.9  B) 11.6  C) 11.4  D) 11.5  E) 11.2

Solution: 1 to 11 = 11 * 10.9= 
11 * 10.9 = 119.9
119.9   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   63 + 68.4= 
63 + 68.4 = 131.4
131.4 – 119.9= 11.5   6th number = 11.5   Answer:11.5
Answer: D
9 men went to a restaurant for taking their snacks. Eight of them spent Rs.15 each on their snacks and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them. Choose one:
A) Rs 115  B) Rs116  C) Rs 144  D) Rs 178  E) Rs 168

Solution: Explanation :   Let the average expenditure of all the nine be RS.x   Then, 15 8 + (x + 8) = 9x   Therefore x = 16   Total money spent = 9x = RS.(9 16) = Rs.144   Answer : Rs 144
Answer: C
The sum of present age of Abe and the age before 7 years is 27. Find the present age of Abe. What will be his age after 7 years? Choices
A) 25	B) 24	C) 27	D) 28	E) 29

Solution: Present age = x   24efore 7yrs, y=x-7   After 7yrs, z=x+7   24y the qn,   x+(x-7)=27   2x-7=27   2x=27+7= 
27+7 = 34
34/2= 
34/2 = 17
17   z=x+7   =17+7= 
17+7 = 24
24   ANSWER:24
Answer: B
If 42.18 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
Choose the correct choice from the following options:
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: 42.18 = 14K + Km/50...we can rewrite the number as follows:   42+ 0.18= 14K + Km/50........Since K is integer, then 42=14K..........K=3   0.18=Km/50......18/100=3m/50......m=3   k+m=3+3= 
3+3 = 6
6   6nswer: 6
Answer: A
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 90, how many horses are there ? Choose the correct answer:
A) 10	B) 12	C) 14	D) 16	E) 18

Solution: legs 18*4= 
18*4 = 72
72   now half on their horses so remaining on the walk so 9 men   9 men has 18 legs   so, 18+ 72= 90 legs walking   ANSW18R:18
Answer: E
How many 5 digit number can be formed out of digits 0,2,4,6,8 that is divisible by 8.  Select:
A) 26  B) 30  C) 38  D) 98  E) 85

Solution: For a number to be divisible by 8, its last three digits must divisible by 8.   So, last three digits can be from the following group   (024), (048), (064), (208), (240), (248), (264), (280), (408), (480), (608), (624), (640), (648), (680), (824), (840), (864),   There are 18 such groups.   Consider these 12 groups in which zero is there   (024), (048), (064), (208), (240), (280), (408), (480), (608), (640), (680), (840)   With each of these 12 groups, first digit can be any of the remaining 2 digits and second digit can be the remaining one digit   Therefore, 12×2 = 24 such numbers   Consider the 6 groups in which zero does not come   (248), (264), (624), (648), (824), (864),   With each of these 6 groups, first digit can be the one remaining digit(because zero cannot be the first digit)   Second digit can be zero   Therefore, 6×1 = 6 such numbers   Therefore, total count of 5 digit numbers = 24 + 6= 
24 + 6 = 30
30   So, Ans is 30   ANSWER:30
Answer: B
The length, breadth and height of a room are in the ratio 9 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Choices.
A) (a) remain the same	B) (b) decrease by 13.64%	C) (c) decrease by 15%	D) (d) decrease by 23.08%	E) (e) decrease by 30%

Solution: Length (L) = 9   Breadth (B) = 4   Height (H) = 2   Total Area of Walls = 2(BH + LH) = 2*(4*2 + 9*2) = 2*(8+18)= 
2*(8+18) = 52
52   Then, Finally   Length (L)= 2*9= 
2*9 = 18
18   Breadth (B)= 4/2= 
4/2 = 2
2   Height (H)= 2/2= 
2/2 = 1
1   Total Area of Walls= 2(BH + LH) = 2*(2*1 + 18*1) = 2*(2+18)= 
2*(2+18) = 40
40   % change in Area of four walls= (Final Area-Initial Area)*100 /Initial Area   i.e. % change in Area of four walls = (40-52)*100 /52=- 23.08% ((d) decrease by 23.08%ecrease)   Answer: Option (d) decrease by 23.08%
Answer: D
A chair is bought for Rs.500/- and sold at a loss of 10% find its selling price	Choose the correct choice.
A) Rs.450/-
B) Rs.451/-
C) Rs.440/-
D) Rs.455/-
E) Rs.445/-

Solution: Loss = 500*10/100= 
500*10/100 = 50
50   S.P= C.P - Loss   = 500- 50   =Rs.450/-   Rs.450/-nswer : Rs.450/-
Answer: A