MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the x-intercept of a line that passes
through the point (3, 4) and has a slope of 2?  Select:
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: First, plot the point (3, 4) on a graph. A slope of 2 means “up 2, over 1,” so plot this point   on a graph, too. Here’s the resulting graph:   y over 1   up 2   (1, 0)   (2, 2)   (3, 4)   (4, 6)   x   The line passes through the x-axis at 1, making the correct answer 1)1
Answer: D
Which of the following is the Highest Common Factor of 18, 24 and 36?  Select: A) 8 B) 10 C) 6 D) 14 E) 12

Solution: Ans is :6   actors of 18 = {1 , 2 , 3 , 6 , 9 , 18} Factors of 24 = {1 , 2 , 3 , 4 , 6 , 8 , 12 , 24} Factors of 36 = {1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36} => the Highest 6ommon Factor is 6
Answer: C
A, B and C can do a piece of work in 24 days, 30 days and 60 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?  Select:	A) 10 days	B) 11 days	C) 13 days	D) 21 days	E) 31 days

Solution: One day work of A, B and C = 1/24 + 1/30 + 1/60 = 11/120 Work done by A and B together in the last 4 days = 4*(1/24 + 1/30) = 3/10   Remaining work = 7/10   The number of days required for this initial work = 7 days.   The total number of days required = 4 + 7= 
4 + 7 = 11
11 days.   ANSWER:11 days
Answer: B
If one-third of one-fourth of the number is 10, then two-fifth of that number is  Choices:
A) 80	B) 70	C) 60	D) None of these	E) 56

Solution: Explanation:   None of these   Answer: Option None of these
Answer: D
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent F of the interns report no feelings of tiredness during their shifts?	Choose the correct choice from the following answers
A) 6  B) 14  C) 19  D) 20  E) 81

Solution: < 6 hours sleep>= 6 hours sleepTOTAL   Tired75--   Not Tired-0.7*X?   TOTAL80X100   Interns who receive< than 6 hours sleepandNot Tired= 80 - 75= 
80 - 75 = 5
5;   TOTAL interns who receive >= 6 hours sleep= 100 - 80= 
100 - 80 = 20
20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20= 
0.7 * 20 = 14
14;   Interns who areNot Tired F= 5 + 14= 
5 + 14 = 19
19.   Answer: 19.
Answer: C
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate Z in miles per hour for the entire trip?  Pick one:	A) 26.7	B) Z=30.0	C) Z=40.0	D) Z=53.3	E) 60.0

Solution: VERITAS PREPOFFICIAL SOLUTION   Correct Answer: C   Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.   Answer choice Z=40.0 is correct.
Answer: C
Find the odd one out	Select the correct option
A) ctyugg	B) crusade	C) campaign	D) cruise	E) expedition

Solution: Explanation:   Cruise = a sea voyage for pleasure.   All other words are related to ‘journey on land, sea with an aim’   Answer: cruise)
Answer: D
(1/35)+(1/36)+……+(1/65)+(1/66) is including in which of the following ranges?
Pick one
A) 2	B) 1	C) 2~ 3	D) 1/2~1	E) 1/2

Solution: Number of terms in the given series = 32.   The lowest term is 1/65 , the largest being 1/35.   Thus, the sum of the given series will be more than   1/65 + 1/65.....1/65 (32 times)   ---> 32*(1/65) = 32/65   less than 1/35 + 1/35...... 1/35 (32 times)   ---> 32*(1/35) = 32/35 = 1 (approx)   1/2~1 is thus the correct answer.
Answer: D
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?  Choose the correct choice from the following:
A) 3000 sq m  B) 2887 sq m  C) 6296 sq m  D) 2587 sq m  E) 5854 sq m

Solution: 5x + 12x + 13x = 300 => x = 10   a = 50, b = 120, c = 130   S = (50 + 120 + 130)/2= 
(50 + 120 + 130)/2 = 150
150   3000 sq m   3000 sq mnswer: 3000 sq m
Answer: A
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time, how many books of the special collection were loaned out during that month?  Answers
A) 20  B) 30  C) 35  D) 40  E) 55

Solution: I didn't understand How did we get 100?   Total = 75 books.   65% of books that were loaned out are returned --> 100%-70%=30% of books that were loaned out are NOT returned.   Now, there are 63 books, thus 76-63--  100 -70= 
--  100 -70 = 30
30% of books that were loaned out are NOT returned.   Now, there are 63 books, thus 76-63=12 books are NOT returned.   {loaned out}*0.30=7 --> {loaned out}=40.   Answer: 40.
Answer: D
A man purchases 2 watches for $ 600. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :  Answers.
A) $ 260 and $ 300 B) $210 and $ 350 C) $240 and $360 D) $560 and $560 E) $224 and $ 350

Solution: x + y = 600 --- (1)   1.15x + 0.9y = 600 --- (2)   (2) - (1) --> 0.15x - 0.1y = 0   15x = 10y   x/y = 2/3 = (2*120)/(3*120) = 240/360   Answer: $240 and $360
Answer: C
In a lottery, there are 8 prizes and 24 blanks. A lottery is drawn at random. What is the probability of getting a prize? Options:
A) 1/4  B) 1/8  C) 1/12  D) 1/16  E) 1/24

Solution: P(winning a prize) = 8 / (8+24) = 8/32 = 1/4   The answer is 1/4.
Answer: A
Lines y=√2·x+5 and y=3√2·x−1 intersect at what height above the x axis?	Pick:  A) -8√2  B) 0  C) 7√2  D) 8  E) 4√2

Solution: Solve two equations for y   y=√2·x+5   y=3√2·x−1   Set the two equations equal to each other and solve for x   √2·x+5 = 3√2·x−1   6 = 2√2·x   6/(2√2) = x   3/√2 = x   Plug x = 3/√2 into any one of the original equations to find the y value (height above x axis) where the two lines intersect   y=√2·x+5   y=√2·(3/√2)+5   y = 3 + 5= 
3 + 5 = 8
8   Final answer:   8) 8
Answer: D
A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?  Choose the correct option:
A) 310  B) 320  C) 305  D) 315  E) 325

Solution: Average of the two areas =7002=350   one-fifth of the average of the two areas=3505=70   ⇒ Difference of the two areas =70   Let area of the smaller part =x hectares.   Then, area of the larger part =x+70 hectares.   x+(x+70)=700⇒2x=630⇒x=315   Answer is 315.
Answer: D
If s / t is an integer, which of the following statements must be true?	Pick one.
A) s = nt where n is an integer	B) both s and t are integers	C) either s or t is negative	D) t is an integer	E) s / t is an integer

Solution: Let s = 1/4; t = 1/8 -->s/t = 2   s= nt where n is an integer --> 1/4 = 2*(1/8) --> Correct   s = nt where n is an integernswer: s = nt where n is an integer
Answer: A
A bus trip of 210 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip?
Choose the correct choice from the following answers.
A) 25  B) 30  C) 35  D) 40  E) 45

Solution: The time is the distance/speed. The time difference is 1 hour.   210/V - 210/(V+5) = 1   210(V+5) - 210V = (V)(V+5)   1050 = (V)(V+5)   30*35 = (V)(V+5)   V = 30 mph   The answer is 30.
Answer: B
Each writer for the local newspaper is paid as follows: a dollars for each of the first z stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits z + a stories in a month earn than a writer who submits z+ b stories?  Choose the correct choice from the following choices.
A) (a – b)( a + b + z)
B) a – b
C) a^2 – b^2
D) z( a – b)
E) az + bz – az

Solution: total earned for z+a stories =a + a(a+b)   total earned for z+b stories =a+ b(a+b)   difference = a+a(a+b) -a -b(a+b)   =(a+b)(a-b) =a^2-b^2   answer is a^2 – b^2
Answer: C
A basketball is dropped from a height of 40 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.  Choose the correct option
A) 50
B) 55
C) 110
D) 75
E) 80

Solution: Initial distance = 40 feet   first bounce = 20 feet up + 20 feet down = 40 feet   second bouche = 10 feet up + 10 feet down = 20 feet   third bounce = 5 feet up and 5 feet down= 10 feet   total distance covered = 40+40+20+10= 
40+40+20+10 = 110
110   ANSWER IS 110
Answer: C
Find the largest 3 digit number which is exactly divisible by 88?
Choose the correct answer.
A) 765
B) 907
C) 944
D) 954
E) 968

Solution: Largest 3 digit number is 999   After doing 999 ÷ 88 we get remainder 31   Hence largest 3 digit number exactly divisible by 88 = 999 - 31= 
999 - 31 = 968
968   968
Answer: E
P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?
Choose one:
A) 60/11 B) 60/12 C) 60/18 D) 60/16 E) 65/16

Solution: Explanation:   P can complete the work in (12 * 8)= 
(12 * 8) = 96
96 hrs   Q can complete the work in  (8 * 10)= 
 (8 * 10) = 80
80 hrs   \inline {\color{Black}\therefore } P's 1 hour work=1/96 and Q's 1 hour work= 1/80   (P+Q)'s 1 hour's work =\inline {\color{Black} \left ( \frac{1}{96}+\frac{1}{80} \right )} =\inline {\color{Black} \frac{11}{480}}   so both P and Q will finish the work in \inline {\color{Black} \frac{480}{11}} hrs   \inline {\color{Black} \therefore } Number of days of 8 hours each = \inline {\color{Black} \left ( \frac{480}{11} \times \frac{1}{8}\right )=\frac{60}{11}}   60/11nswer: 60/11) 60/11
Answer: A
The wages earned by Robin is 40% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Choices.
A) 23%
B) 18.75%
C) 28.57%
D) 50%
E) 100%

Solution: Explanatory Answer   Let the wages earned by Erica be $100   Then, wages earned by Robin and Charles will be $140 and $160 respectively.   Charles earns $40 more than Robin who earns $140.   Therefore, Charles' wage is 40/140*100 = 28.57%.   The correct choice is (28.57%)
Answer: C
If the price has fallen by 11% what percent of its consumption be: increased so that the expenditure may be the same as before?  Choose the correct choice
A) A)11/89%  B) B)10%  C) 1/9 %  D) 1/11 %  E) %

Solution: 100 – 11 = 89   89------11   100------? => 11/89%   11/89%NSWER:11/89%
Answer: A
Two taps can separately fill a cistern 10 minutes and 18 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Options:
A) 6 B) 8 C) 1 D) 9 E) 10

Solution: 1/10 + 1/18 - 1/x = 1/18   x = 10   Answer:10
Answer: E
The average of 25 results is 20. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?	Choose the correct choice.
A) 128  B) 75  C) 69  D) 78  E) 45

Solution: Solution: Sum of 1st 12 results = 12*14   Sum of last 12 results = 12*17   13th result = x (let)   Now,   12*14+12*17+x = 25*20   Or, x = 128.   128nswer: Option 128
Answer: A
1 Decade ago, Karthik’s mother was quadrice older than her son. After one decade, the mother will be two times older than her son. The current age of Karthik is?
[Decade = 10 Years; quadrice= 4 times]	Choose the correct choice from the following answers:
A) 20 years
B) 60 years
C) 80 years
D) 40 years
E) 10 years

Solution: 20 years   20 years   Let Karthikh’s age 10 years ago be 20 years year   His mother’s age 1 decade ago = 420 years   (420 years + 10) + 10 = 2 (20 years + 10 +10)   220 years = 20 or 20 years =10   Current age of Karthikh = (20 years + 10)   = 20 years
Answer: A
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 40% profit on the first article and 40% loss on second article. Find the net profit or loss percent?	Choices:
A) 200
B) 278
C) 282
D) 400
E) 270

Solution: Profit on first article = 40% of 1000 = 400.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   Answer: 400
Answer: D
Find the invalid no.from the following series 13, 18, 25, 30, 37, 40	Choose the correct choice from the following options:
A) 23
B) 35
C) 40
D) 45
E) 67

Solution: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.   40
Answer: C
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $51.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?	Select.
A) $19,393.75	B) $30,943.25	C) $41,308.50	D) $51,817.50	E) $53,624.25

Solution: its $19,393.75   since options are not so close we can solve this by uniting calculation and guessing   total sales will be bit lower than 51000   from that initial outlay will get deducted 11500 so we left with 31500   variable cost say 20 X 1000 = 20000 will be deducted so finally we left with 19500   since we have considered the price greater than it actually is, the correct answer will certainly not cross the threshold of 19500.
Answer: A
In a company of 180 employees, 110 are females. A total of 90 employees have advanced degrees and the rest have a college degree only. If 35 employees are males with a college degree only, how many employees are females with advanced degrees? Select:	A) 50	B) 55	C) 60	D) 65	E) 70

Solution: The number of males is 180-110= 
180-110 = 70
70.   The number of males with advanced degrees is 70-35= 
70-35 = 35
35.   The number of females with advanced degrees is   90-35= 
  90-35 = 55
55.   The answer is 55.
Answer: B
The probability that A speaks truth is 2/5 and that of B speaking truth is 3/7. What is the probability that they agree in stating the same fact? Options:	A) 18/35	B) 17/35	C) 18/36	D) 18/16	E) 18/31

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability   = 2/5 * 4/7 + 3/5 * 3/7   = 8/35 + 9/35   = 17/35   Answer: 17/35
Answer: B
When a plot is sold for Rs.18,700,the owner loses 15%.At what price must the plot be sold in order to gain 15% ?  Choose one:
A) Rs.21,000 B) Rs.22,500 C) Rs.25,300 D) Rs.25,800 E) None of these

Solution: Solution   85 : 18700 = 115 : x or x =(18700x115/85) = 25300.   Hence, S.P. = Rs. 25,300.   Answer Rs.25,300
Answer: C
A person has to cover the fixed distance through his horses. There are five horses in the cart. They ran at the full potential for the 24 hours continuously at constant speed and then two of the horses ran away to some other direction. So he reached the destination 48 hours behind the schedule. If the five horses would have run 50 miles more, then the person would have been only 24 hours late. Find the distance of the destination.	Choose the correct answer:	A) 200/3	B) 400/3	C) 500/3	D) 600/8	E) 800/3

Solution: Suppose his actual speed is 'v' with 5 horses,   If he travelled that 50 miles with 5 horses the time taken wud b 50/v, which equals time taken with 3/5th speed minus 24hrs   50/v = 50/(3v/5) - 24;   so, v = 25/18;   Now, suppose after 1st 24 hrs he takes 't' hrs toreach his destination, then   vt = (3v/5)(t + 48);   vt = (3v/5)(t+48)   t = 72   total time = 72+24= 
72+24 = 96
96   distance= 400/3   ANSWER:400/3
Answer: B
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 23 years(the child was born during the interval). What is the present age of the child?  Choose the correct answer:
A) 16	B) 15	C) 18	D) 14	E) 13

Solution: 28 * 2= 
28 * 2 = 56
56   23 * 3= 
23 * 3 = 69
69   -----------   13 years.Answer: 13
Answer: E
What is the remainder when 14,452 × 15,652 × 16,781 is divided by 5?  Choose one:  A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Only the unit's digit of the product will decide the remainder when divided by 5.   Hence, 2*2*1= will give units digit as 4   So, whatever be the number, if it ends in 4, the remainder after dividing with 5 will be 4.   Option4
Answer: E
Arjun leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Arjun, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Arjun is 30 km\hr, find the speed of his son. Pick one.
A) 15km/hr
B) 6 km/hr
C) 4.28 km/hr
D) 9 km/hr
E) 4.12 km/hr

Solution: Arjun leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Arjun, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Arjun is 30 km\hr, find the speed of his son.   The distance from home to school is 30 km. The round trip distance = 60 km. Because he returns home 15 minutes early, I thought it might be easier to break his trip up into 8 identical 15 minute blocks, each of which he traveled at 7.5 km/hour.   Because we are dealing with a round trip here, Arjun would have stopped 7.5 minutes short of the school. This means he traveled Distance=rate* time .5Km/hour*52.5 minutes or 26.25 KM. His son therefore traveled 3.75km/hour by the time he met his dad at 4:52.5. It took the son 52.5 minutes to travel 3.75 km. Because we are trying to find the son's rate per hour (i.e. 60 minutes) and we have his speed for 52.5 minutes it's best to convert to km/minute then multiply by 60 to get km/hour   3.75km/52.5 = .07 km/minute   .07km/minute*60 minutes = 4.28 km/hour.   Answer: C. 4.28 km/hr
Answer: C
If 49(7^x) = 1 then x=  Choose one.
A) –2  B) –1  C) 0  D) 1  E) 2

Solution: 7^x = 1/49   7^x = 1/7^2   7^x= 7^-2   x = -2   –2
Answer: A
A store’s selling price of $2240 for a certain computer would yield a profit of 30 percent of the store’s cost for the computer. What selling price would yield a profit of 40 percent of the computer’s cost?
Pick:
A) $2400
B) $2412
C) $2650
D) $2732
E) $2800

Solution: 1.3x = 2240   x=2240/1.3   so, 1.4X = 2240*1.4/1.3= 2412   Answer:- $2412
Answer: B
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:?	Choose the correct choice from the following answers:
A) 40
B) 60
C) 80
D) 67
E) 30

Solution: Let C.P. of clock be Rs. x.   Then, C.P. of 90 clocks = Rs. 90x.   [(110% of 40x) + (120% of 50x)] - (115% of 90x) = 40   44x + 60x - 103.5x = 40   0.5x = 40 => x = 80   Answer: 80
Answer: C
Joe drives 180 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. What is his average speed for the entire trip in miles per hour?
Pick
A) 42  B) 50  C) 50  D) 54  E) 56

Solution: t1= 180/60= 
180/60 = 3
3 hours   t2=120/40= 
120/40 = 3
3 hours   T=t1+t2=6 hours   Avg speed = Total Distance/T   = 300/6= 
300/6 = 50
50mph=50
Answer: B
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Choose the correct choice from the following answers.
A) 3500	B) 3750	C) 3800	D) 3840	E) 3900

Solution: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.   Then, 10x = 4y or y =	5/2x.   15x + 2y = 4000   15x + 2 x	(5/2)	x = 4000   20x = 4000   x = 200.   So, y =(5/2)x 200= 500.   Hence, the cost of 12 chairs and 3 tables = 12x + 3y   = Rs. (2400 + 1500)   = Rs. 3900.   Option 3900
Answer: E
On average, the bottle-nosed dolphin comes up for air once every five minutes; the beluga whale, a close relative, comes up for air on average once every eight minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Choose the correct answer:
A) 50%  B) 75%  C) 100%  D) 150%  E) 200%

Solution: Dolphin once in 5 min;   Beluga once in 8 min;   So, dolphin comes up 1.6 times frequently than beluga, which is 150% (8-5)/2*100.   Answer: 150%.
Answer: D
What is the sum of all possible 3-digit numbers that can be constructed using the digits 1, 3, and 4 if each digit can be used only once in each number?
Pick.
A) 1443	B) 1554	C) 1665	D) 1776	E) 1887

Solution: There are 6 possible arrangements of the three numbers.   Then each number will be in the hundreds, tens, and ones place two times each.   The sum is 2(111) + 2(333) + 2(444) = 1776   The answer is 1776.
Answer: D
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was? Choices:	A) 37583	B) 37500	C) 37507	D) 37508	E) 37502

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,   (x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 39/4 * 1/100)   (9x + 1100000 - 11x)/100 = 39000/4= 
39000/4 = 9_750
9750   x= 62500   Sum invested at 9% = Rs. 62500   Sum invested at 11% = Rs. (100000 - 62500) = Rs. 37500.   Answer:37500
Answer: B
If PINTU is coded as 79523 in a certain code language, how would you code BUNTU in the same language? Pick one
A) 13426 B) 23523 C) 13436 D) 14263 E) 15263

Solution: 1 2 3 4 5 6 7 8 9   a b c d e f g h i   j k l m n o p q r   s t u v w x y z   sooo...BUNTU is 23523...   ANSWER:23523
Answer: B
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?  Select the correct option:
A) 65 days	B) 51 days	C) 24 days	D) 16 days	E) 17 days

Solution: 2c = ¼ + 1/6 – 1/3 = 1/12   c = 1/24 => 24 days   Answer: 24 days
Answer: C
A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 15 minutes.
In how much time will he be able to take all the five tablets?
Pick one:
A) 1 Hour.
B) 2 Hour.
C) 3 Hour.
D) None
E) Cannot be determined

Solution: Solution:   1 Hour.   Suppose he takes the first tablet at 12:00 pm. Then the second will be consumed by him at 12:15, third at 12:30, fourth at 12:45 and fifth at 1:00.   1 Hour.nswer 1 Hour.
Answer: A
Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $250, how many sales has Matt made?
Choose one.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Let, Average Commission = x   No. of items sold = y   Total Commission = xy   New Commission = xy+1000   New Average = (xy+1000) / (y+1) = 150+x   i.e. (xy+1000) = (y+1)* (150+x)   i.e. (xy+1000) = (xy+x+150y+150)   i.e. (850) = (x+150y)   New Commission = 250 = 150+x   i.e. x=100   i.e. y = 5   New Sales = y+1 = 6   Answer: option 6
Answer: D
John started a business, investing 30000. Six months later, Marry joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of John? Choices:
A) Rs.6000	B) Rs.6500	C) Rs.7000	D) Rs.7500	E) Rs.8000

Solution: The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.   :. John ’s share on profit of Rs.10000 = 10000 × 4/5 = Rs.8000.   Rs.8000)
Answer: E