MU-NLPC/Calc-aqua_rat huggingface dataset:
When positive integer X is divided by positive integer Y, the remainder is 8. If X/Y = 96.12, what is the value of Y?  Choose the correct choice from the following:
A) 96	B) 75	C) 66.7	D) 25	E) 12

Solution: When positive integer x is divided by positive integer y, the remainder is 8 --> x=qy+8;   x/y=96.12 --> x=96y+0.12y (so q above equals to 96);   0.12y=8 --> y=66.7.   Answer: 66.7.
Answer: C
John got a monthly raise of $237. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.
Options
A) 327
B) 723
C) 732
D) 231
E) 237

Solution: Let the 1st paycheck be x (integer).   John got a monthly raise of $ 237.   So after completing the 1st month he will get $ (x+237).   Similarly after completing the 2nd month she will get $ (x + 237) + $ 237.   = $ (x + 237 + 237)   = $ (x + 474)   So in this way end of every month his salary will increase by (237)$ 237.
Answer: E
Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year? Select the correct option
A) 52 B) 67 C) 71 D) 73 E) 79

Solution: a+b= 6   b+c = 11   Refer England team: a+b+ (persons who only went to England) = 26   Persons who only went to England = 26 - (a+b) = 26-6= 
26-6 = 20
20   Refer French team: b+c+(persons who only went to France)= 26   Persons who only went to France = 26 - (b+c) = 15   Refer Italian team: a+b+c+f = 32   Now with above info.   Members of the club traveled to at least one of these three countries = Nothing but summation of all values (take only once)   Leftmost circle (England) : (20+a+b)   French: 15+c (all remaining already covered in previous circle)   Italy: f (all other variables taken in previous two circles)   (20+a+b)+(15+c)+f will give the answer   20+15+ a+b+c+f = 35+32= 
35+32 = 67
67   67 is the answer.
Answer: B
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
Select the correct option.
A) 20	B) 22	C) 23	D) 26	E) 30

Solution: 36, 34, 30, 28, 24, ...   22 is next number.   ANSWER:22
Answer: B
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?  Select the correct option:
A) 641  B) 640  C) 188  D) 177  E) 166

Solution: (P*5*15)/100 - (P*3.5*15)/100 = 144   75P/100 – 52.5P/100 = 144   22.5P = 144 * 100   => P = Rs.640   Answer:640
Answer: B
To create paint with a certain shade of gray, one must combine 2.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?  Choose the correct choice from the following choices:
A) 145.0	B) 140.0	C) 347.1	D) 694.4	E) 705.6

Solution: Since the ratio of Black to White is 2.5 to 1 this implies that Amount of Black is going to be more than (approximately double) the amount of White. This implies Option C, D and E can not be correct.   Now between A and B:   Black:White = 2.5:1 Since the ratio is more than double, the amount of White Paint should be less than half of Black Paint. A is more than half so can not be the answer, B fits the criteria hence should be the correct answer. No calculation needed whatsoever.
Answer: B
Which of the following fractions is greater than 1/4 and less than 3/5?
1. 3/4 2. 2/5 3. 1/2 4. 4/5 5. 1/5 6. 9/10  Choose the correct choice from the following choices.
A) 4/7	B) 1/5	C) 2/3	D) 1/8	E) 1/4

Solution: 1/4= 
1/4 = 1/4 = around 0.25
0.25, 3/5= 0.6, 1/5= 0.2, 2/3= 0.66, 4/7=0 .57,1/8= 0.125.   Clearly, 0.57 lies between 0.25 and 0.60   Therefore, 4/7 lies between 1/4 and 3/5.   4/7nswer is 4/7.
Answer: A
A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Select the correct option
A) 277 m	B) 700 m	C) 600 m	D) 187 m	E) 1678 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (700 + x)/60 = 65/3   x =600 m.   Answer:600 m
Answer: C
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?	Select the correct option.
A) 7 days	B) 8 days	C) 13	D) 5 days	E) 2days

Solution: Explanation :   Work done by P in 1 day = 1/23   Let work done by Q in 1 day = q   q × (130/100) = 1/23   => q = 100/(23×130) = 10/(23×13)   Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13   => P and Q together can do the work in 13 days   ANSWER:13
Answer: C
Find the length of the wire required to go 10 times round a square field containing 53824 m2. Options.
A) 15840
B) 9280
C) 2667
D) 8766
E) 66711

Solution: a2 = 53824 => a = 232   4a = 928   928 * 10= 
928 * 10 = 9_280
9280   Answer: 9280
Answer: B
In each term of a sequence, 7 is added to get the next term. If the first term is 3, what is the thirty-seventh term?  Choose one.
A) 222  B) 284  C) 252  D) 263  E) 255

Solution: 1rst term + 36 terms = 3 + 7+7+7+7+7+7+7+...+7 (36 times)   3 + (7 x 36) = 3 + 252= 
3 + 252 = 255
255   Answer 255
Answer: E
In a locality there are ten houses in a row. On a particular night a thief planned to steal from three houses of locality. In how many ways can he plan such that no two houses are next to each other?  Choose the correct choice:	A) 56	B) 73	C) 80	D) 100	E) 120

Solution: Lets say we have removed the three said houses. Now we are left with 7 houses.   If we arrange these 7 houses we have 8 places to put the other 3 houses at.   _ H1 _ H2 _ H3 _ H4 _ H5 _ H6 _ H7 _   so 8C3 = 56   56NSWER:56
Answer: A
Sandy is younger than Molly by 12 years. If the ratio of their ages is 7:9, how old is Sandy?  Pick one:	A) 42	B) 49	C) 56	D) 63	E) 70

Solution: Let Sandy's age be 7x and let Molly's age be 9x.   9x - 7x = 12   x = 6   Sandy is 42 years old.   The answer is 42.
Answer: A
In how many different number of ways a Committee of 2person of can be selected from 2boys and 2girls such that at least 1 girl is included in the committe Choose the correct choice from the following options:
A) 3  B) 4  C) 2  D) 5  E) 9

Solution: 1G 1B 2G   = (2C1*2C1)+2C2   = (2*2)+1= 
(2*2)+1 = 5
5   Total 2M 2W   4C2=6   2C2=1   At least one girl = total - with out girl   At least one girl = 6-1= 
6-1 = 5
5   5)
Answer: D
If n is a natural number, then 6n^2 + 6n is always divisible by? Answers:
A) 6 only
B) 6 and 12
C) 12 only
D) 18 only
E) 20 only

Solution: 6n^2 + 6n = 6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.   Answer is 6 and 12
Answer: B
A board 5ft. 2 inches long is divided into 3 equal parts . What is the length of each part? Choose the correct choice from the following choices
A) 5ft. 7 inches
B) 3ft. 7 inches
C) 4ft. 7 inches
D) 1ft. 8.7 inches
E) 1ft. 7 inches

Solution: Length of board=5ft. 2 inches=(5*12+2)= 
(5*12+2) = 62
62 inches.   Therefore, Length of each part= (62/3) inches = 20.7 inches = 1ft. 8.7 inches   Answer is 1ft. 8.7 inches.
Answer: D
A train is moving at a speed of 50km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?  Options:
A) 30sec
B) 45sec
C) 36sec
D) 29sec
E) 52sec

Solution: Speed of the train = 50*5/18 = 250/18 m/sec   Distance moved in passing the standing man = 500m   Required time taken = 500/(250/18) = 500*18/250= 
500*18/250 = 36
36sec   Answer is 36sec
Answer: C
William is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Coconut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If William accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be Coconut oil?	Choose the correct option:
A) 15/29
B) 5/8
C) 5/16
D) 1/2
E) 13/27

Solution: Coconut oil = 5/8 = 15/24 --> 15 parts out of 24;   Vinegar = 1/4 = 6/24 --> 6 parts out of 24;   Salt + pepper + sugar = 1-(15/24+6/24)= 3/24, so each = 1/24 --> 1 part out of 24 each;   If vinegar = 12 (instead of 6) and sugar = 0 (instead of 1) then total = 15+12+1+1+0= 
15+12+1+1+0 = 29
29 parts out of which 15 parts are Coconut oil --> proportion= 15/29.   15/29nswer: 15/29.
Answer: A
A third of Arun’s marks in mathematics exeeds a half of his marks in english by 80.if he got 240 marks In two subjects together how many marks did he got inh english? Pick one
A) 120,60
B) 180,60
C) 180,90
D) 120,40
E) None of them

Solution: Let Arun’s marks in mathematics and english be x and y   Then 1/3x-1/2y=30   2x-3y=180……>(1)   x+y=240…….>(2)   solving (1) and (2)   x=180   and y=60   Answer is 180,60.
Answer: B
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $400 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?  Choices:
A) 3000
B) 5000
C) 2000
D) 4000
E) 6000

Solution: So, we know that Shawn received 20% of the amount he invested in a year. We also know that in one year Shawn received $200, thus 0.2x = $200 --> x = $1,000.   Since, he invested equal sums in his 2 bonds, then his total savings before investing was 2*$1,000 = $2,000.   Answer:2000
Answer: C
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?	Options
A) 589 B) 580 C) 585 D) 582 E) 523

Solution: 90 = (450*4*R)/100   R = 5%   I = (450*6*5)/100= 
(450*6*5)/100 = 135
135   450 + 135= 
450 + 135 = 585
585   Answer:585
Answer: C
A train 105 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:	Choose the correct choice from the following answers.
A) 22  B) 50  C) 42.8  D) 288  E) 12

Solution: Speed of the train relative to man = (105/10) m/sec = (21/2) m/sec. [(21/2) * (18/5)] km/hr = 37.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 37.8 ==> x = 42.8 km/hr.Answer: 42.8
Answer: C
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? Choose the most appropriate option.
A) 5/21	B) 5/28	C) 5/22	D) 5/23	E) 5/20

Solution: Explanation:   Number of ways of (selecting at least two couples among five people selected) =   As remaining person can be any one among three couples left.   Required probability =   = (10 * 6)/252 = 5/21   5/21nswer: 5/21
Answer: A
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) A and J are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed  Choose the correct choice from the following answers.
A) 1) A and E
B) 2) A and D
C) 3) A,C,D
D) 4) All of them
E) 5) None of them

Solution: Here answer will be (A).   There are 10 equidistant numbers on the number line.   Mean and median will be the average of middle two numbers.   If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers. Only options that remove a digit or digits from one side of the middle two numbers will result in change of mean and median.
Answer: A
In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 360 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?	Choose one:
A) 96	B) 108	C) 120	D) 132	E) 140

Solution: The ratio of Yankees:Mets:Red Sox = 6:4:5   The Mets fans are 4/15 of the population.   (4/15)*360= 
(4/15)*360 = 96
96   The answer is 96.
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Choose the correct choice from the following choices:
A) 120 cm2
B) 765 cm2
C) 216 cm2
D) 197 cm2
E) 275 cm2

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120 cm2rea of the triangle   = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120 cm2nswer: 120 cm2
Answer: A
In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?	Select
A) 180 sec
B) 190 sec
C) 115 sec
D) 490 sec
E) 390 sec

Solution: Time taken by B run 1000 meters = (1000 * 10)/80= 
(1000 * 10)/80 = 125
125 sec.   Time taken by A= 125 - 10= 
125 - 10 = 115
115 sec.   Answer:115 sec
Answer: C
There are 30 socks in a drawer. Sixty percent of the socks are red, and the rest are blue. What`s the minimum number of socks that must be taken from the drawer without looking in order to be certain that at least 2 blue socks have been chosen?  Choose the correct choice from the following options
A) - 2	B) - 3	C) - 14	D) - 19	E) - 20

Solution: This is actually not a probability problem. Instead, it is an optimization problem, a minor type of question on GMAT.   Your first step is to calculate 60% of 30, which yields 18. Now, you must be sure you picked at least 2 blue socks. The only way is to pick all the other socks plus 2 blue socks. In this case, you would have to pick 18 red socks plus the 2 blue ones. Hence, answer is 20. If you had 4 green, 6 yellow and 8 red socks, the answer would be the same. You would have to pick all of those pluse 2 blue ones.answer is - 20
Answer: E
Find the average of all numbers between 3 and 69 which are divisible by 5	Choose the correct option:
A) 15 B) 20 C) 25 D) 30 E) 35

Solution: 35xplanation:   Average=(5+10+15+20+25+30+35+40+45+50+55+60+65)/13=455/13= 
455/13 = 35
35   Answer: Option 35
Answer: E
The sum of two prime numbers is 85. What is the product of these two prime
numbers?
Choose the correct answer:
A) 85
B) 91
C) 115
D) 133
E) 166

Solution: Since there is only one even prime number (2), and the sum of two odd numbers is   even, the product of these two numbers must be even.   correct answer 166
Answer: E
The difference between simple interest and the compound interest on Rs.600 for 1 year at 10% per annum, reckoned half-yearly is : Choices.
A) Nil  B) Rs.6.60  C) Rs.4.40  D) Rs.1.50  E) Cannot be determined

Solution: Explanation:   S.I = Rs. (600×10×1/100) = Rs.60   C.I = Rs. [600×(1+5/100)2−600] = Rs.61.50   Rs.1.50ifference = Rs.(61.50-60) = Rs.1.50   Correct Option: Rs.1.50
Answer: D
How many numbers from 10 to 1000 are exactly divisible by 9? Select
A) 100
B) 10
C) 11
D) 12
E) 14

Solution: 10/9 = 1 and 1000/9 = 111 ==> 111 - 1 = 100. Therefore 100   100nswer : 100
Answer: A
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is	Answers.
A) 8000
B) 9000
C) 7000
D) 10000
E) 11000

Solution: Sol. Income in first year = * x 42000 = Rs. 24000   Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (21000 + 35000)   = 66000 - S6000 = Rs. 10000   10000
Answer: D
How many times the keys of a writer have to be pressed in order to write first 500 counting no's? Pick one
A) 1372 B) 1382 C) 1392 D) 1362 E) 1352

Solution: 1 to 9 = 9 * 1= 
9 * 1 = 9
9   10 to 99= 90 * 2= 
90 * 2 = 180
180   100 to 500= 401 * 3= 
401 * 3 = 1_203
1203   -----------   1392   1392
Answer: C
In a certain sequence, the first term is 4, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence? Choose the correct choice from the following options:	A) 13/8	B) 23/14	C) 8/5	D) 5/8	E) 8/13

Solution: let five terms in the sequence be a,b,c,d,e   a=4   b= 1+1/4=5/4   c=1+4/5= 9/5   d= 1+5/9 = 14/9   e= 1+9/14 = 23/14   hence answer should be 23/14.
Answer: B
Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 54, find the ages of Toby and Debby?	Pick:
A) 10 and 14  B) 5 and 9  C) 5 and 10  D) 6 and 10  E) 7 and 11

Solution: Let the age of Debby be x and Toby be x-4   3 ( x + x-4 ) = 54   x = 11   The ages of Toby and Debby are 7 and 11.   Answer : 7 and 11
Answer: E
What is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive?  Choose the correct choice from the following options.
A) 420
B) 840
C) 1260
D) 2520
E) 27,720

Solution: We have to find the LCM of 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, and 11.   The LCM is 1*2^3*3^2*5*7*11= 27,720   The answer is 27,720.
Answer: E
A tap can fill a tank in 10 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Choose the correct answer.
A) 1 hr 20 min	B) 4 hr	C) 3 hr	D) 6 hr 40 min	E) 2 hr 50 min

Solution: Explanation:   1 tap can fill the tank in 10 hours.   Therefore   1 tap can fill half tank in 5 hours.   3 taps can fill the tank in 10/3 hour.   Therefore   3 taps can fill half tank in 10/6 hour =1 hour 40 minutes.   Total time taken=6 hour 40 minutes   Answer: Option 6 hr 40 min
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long? Choose the correct choice from the following answers.
A) 22 sec B) 89 sec C) 77 sec D) 99 sec E) 55 sec

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.   Answer:89 sec
Answer: B
John buys a bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, what is his gain percent?  Choose the correct option:
A) 5 5/9%
B) 5 5/11%
C) 6%
D) 6 6/11%
E) 6 7/13%

Solution: Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.   Selling Price (S.P.) = Rs. 5800.   Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.   Gain % = 300	x 100	%	= 5 5/11%   5500   Answer 5 5/11%
Answer: B
By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Select:
A) 27	B) 26	C) 25	D) 23	E) 21

Solution: 80% --- 18   120% --- ?   80/120 * 18 = 27   27nswer:27
Answer: A
If the speed of a man is 51 km per hour, then what is the distance traveled by him in 30 seconds ?
Choose the correct choice from the following
A) 275m	B) 360m	C) 375 m	D) 425 m	E) 440 m

Solution: The distance traveled in 30 sec = 51*(5/18) *30= 
51*(5/18) *30 = 425
425m   ANSWER:425 m
Answer: D
A work as fast as B. If B can complete a work in 16days independently,the number of days in which A and B can together finish the work in?	Choose the correct choice from the following answers.
A) 2days
B) 3days
C) 4days
D) 5 1/3days
E) 6days

Solution: Ratio of rates of working of A and B = 2:1   ratio of times taken = 1:2   A's 1day work = 1/8   B's 1day work = 1/16   A+B 1day work = 1/8 + 1/16  +  1= 
 +  1 = 1
1/8 + 1/16= 3/16 => 16/3 = 5 1/3   A and B can finish the work in 5 1/3 days   Answer is 5 1/3days
Answer: D
Working alone at its constant rate, machine A produces x boxes in 5 minutes and working alone at its constant rate, machine B produces 2x boxes in 10 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 3x boxes?
Choose the correct choice from the following options: A) 3 minutes B) 7.5 minutes C) 5 minutes D) 6 minutes E) 12 minutes

Solution: Rate = Work / Time   Given Rate of Machine A = 2X / 10 min   Machine B Produces 2x boxes in 10 min hence , Machine B produces 2x boxes in 10 min .   Rate of Machine 7.5 minutes = 2x / 10   we need tofind the combined time that machines A and 7.5 minutes, working simultaneouslytakeat their respective constant rates   let's first find the combined Rate of Machine A and 7.5 minutes   Rate of Machine A = 2X / 10 min + Rate of Machine 7.5 minutes = 2x / 10 = 4X/10   Now combine Time = combine work needs to be done / Combine Rate = 3x/4x * 10 = 7.5 Min   Ans: 7.5 minutes3 /4  * 10= 
3 /4  * 10 = 15/2 = around 7.5
7.5 Min   Ans: 7.5 minutes
Answer: B
Calculate how many ways a woman who has 2 bags and 5 books can put the books in her bag?
Choose the correct option
A) 39
B) 32
C) 29
D) 30
E) 31

Solution: First paper can be put in 2 ways, similarly second, third, forth, and fifth books also can be put in 2 ways.   So total number of ways = 2 x 2 x 2 x 2 x 2 = 32   32
Answer: B
Mudit's age 22 years hence will be thrice his age four years ago. Find Mudit's present age?	Choose the correct choice from the following answers:
A) 12 B) 17 C) 27 D) 18 E) 15

Solution: Explanation:   Let Mudit's present age be 'm' years.   m + 22 = 3(m - 4)   => 2m = 34 => m = 17 years.   Answer:17
Answer: B
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choose the correct choice from the following answers:
A) 9%loss  B) 2%loss  C) 7%loss  D) 8%loss  E) 1%loss

Solution: Explanation:   (30*30)/100= 
(30*30)/100 = 9
9%loss   9%lossnswer:9%loss
Answer: A
Three people (1 couple and 1 single) are seated at random in a row of 7 chairs. What is the probability that the couple does not sit together? Pick
A) 3/7  B) 4/7  C) 5/7  D) 6/7  E) 9/14

Solution: The total number of arrangements of 3 people is   7*6*5= 
  7*6*5 = 210
210   Let's think of the couple as a single unit.   The number of arrangements when the couple sits together is 6*5*2= 
6*5*2 = 60
60.   Note that we multiply by 2 because the couple can switch places with each other.   The number of ways the couple won't sit together is  210 - 60= 
 210 - 60 = 150
150   P(couple won't sit together)= 150/210 = 5/7   The answer is 5/7.
Answer: C
If 7 boys can color 56 m long cloth in 1 day, then 6 boys can color 36 m long cloth in
Answers:
A) day	B) days	C) days	D) days	E) days

Solution: The length of cloth painted by one boy in one day = 56 / 7 × 1 = 8 m   No. of days required to paint 36 m cloth by 6 boys = 36/ 8 × 6 = 3/4 day.   day)
Answer: A
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?  Choose the correct choice from the following:	A) 80% p.a	B) 100% p.a.	C) 40% p.a	D) 44% p.a	E) 50% p.a

Solution: Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in 40% p.a.I for two years   => 40% p.a.I - S.I   =>9,000 { [1 + r/100]2 - 1} = (10,000)2r /100   => 9{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5   => r = 0% of 40%   Since r!= 0%, r =40%   ANSWER:40% p.a
Answer: C
At a local appliance manufacturing facility, the workers received a 30% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Choose the correct answer.
A) 83% B) 80% C) 23% D) 17% E) 12%

Solution: Let's say he works usually 10 hours and earns 100 per hour.   10 * 100= 
10 * 100 = 1_000
1000   10 * 130= 
10 * 130 = 1_300
1300 (this are the new earnings after the raise)   To figure out how much he needs to work with the new salary in order to earn the original 1000:   1000/130= 7.67   So he can reduce his work by 2.33 hours. Which is >23%.   Answer 23%
Answer: C
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
A. 9974
Choose the correct choice from the following:
A) 388  B) 282  C) 378  D) 292  E) 281

Solution: Explanation:   Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.   Answer: 281
Answer: E