MU-NLPC/Calc-aqua_rat huggingface dataset:
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 8 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?	Options
A) 16 min. to empty  B) 6 min. to full  C) 9 min. to empty  D) 9 min. to full  E) 8 min. to full

Solution: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.   Part to be emptied = 2/5   Part emptied by (A + B) in 1 minute = (1/8 - 1/10) = 1/40   1/40 : 2/5 :: 1 : x   x = (2/5 * 1 * 40)= 
(2/5 * 1 * 40) = 16
16 min.   So, the tank will be emptied in 16 min.   16 min. to emptyNSWER:16 min. to empty
Answer: A
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 6 years of age of when my brother was born, then, what was the age of my father and mother respectively when my brother was born?  Choose the correct choice from the following answers: A) 34 yrs, 23 yrs B) 32 yrs, 29 yrs C) 35 yrs, 29 yrs D) 35 yrs, 33 yrs E) none

Solution: Sol.   Clearly, my brother was born 3 years before I was born and 6 years after my sister was born.   So, father's age when brother was born = (28 + 6)= 
(28 + 6) = 34
34 years.   mother's age when was born= (26 - 3)= 
(26 - 3) = 23
23 years.   34 yrs, 23 yrsnswer 34 yrs, 23 yrs
Answer: A
A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +2B +3C? Pick.
A) 6A+7.	B) 5A+1.	C) 5A-1.	D) 7A-8.	E) 6A-7.

Solution: B = A-1   C= A-2   Putting these values in 2A +2B +3C we get 7A-8   7A-8. is the answer
Answer: D
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses Q at the restaurant? (Assume that all boxes are filled to capacity.)  Select
A) 96  B) 240  C) Q=256  D) Q=384  E) Q=480

Solution: Most Test Takers would recognize the system of equations in this prompt and just do algebra to get to the solution (and that's fine). The wording of the prompt and the 'spread' of the answer choices actually provide an interesting 'brute force' shortcut that you can take advantage of to eliminate the 4 wrong answers....   We're told that there are 2 types of boxes: those that hold 12 glasses and those that hold 16 glasses. Since the AVERAGE number of boxes is 15, we know that there MUST be at least some of each. We're also told that that there are 16 MORE of the larger boxes.   This means, at the minimum, we have...   1 small box and 17 large boxes = 1(12) + 17(16) = 12 + 272= 
12 + 272 = 284
284 glasses at the MINIMUM   Since the question asks for the total number of glasses, we can now eliminate Answers A, B and C....   The difference in the number of boxes MUST be 16 though, so we could have....   2 small boxes and 18 large boxes   3 small boxes and 19 large boxes   etc.   With every additional small box + large box that we add, we add   12+16= 
  12+16 = 28
28 MORE glasses. Thus, we can justadd 28suntil we hit the correct answer....   284+28= 
284+28 = 312
312   312+28= 
312+28 = 340
340   340+28= 
340+28 = 368
368   368+28= 
368+28 = 396
396   At this point, we've 'gone past' Answer D, so the correct answer MUST be Answer E.....But here's the proof....   396+28= 
396+28 = 424
424   424+28= 
424+28 = 452
452   452+28= 
452+28 = 480
480   Final Answer:   Q=480
Answer: E
The average of five results is 46 and that of the first four is 45. The fifth result is?  Choose the most appropriate option:
A) 29  B) 27  C) 29  D) 50  E) 81

Solution: 5 * 46 – 4 * 45 = 50   Answer: 50
Answer: D
If 3x+y=40, 2x-y=20, for integers of x and y, 4y^2=?  Pick one.
A) 2	B) 4	C) 0	D) 10	E) 64

Solution: 3x+y = 40   2x-y = 20   5x = 60   x = 12   y = 4   4y^2 = 4*16= 
4*16 = 64
64   Answer is 64
Answer: E
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Select:
A) 57%  B) 60%  C) 65%  D) 90%  E) 80%

Solution: total votes are 20400 ( sum of votes obtained by 3 candidates)   percentage of the total votes recd by the winning candidate = 100*11628/20400= 
100*11628/20400 = 57
57%   57%NSWER:57%
Answer: A
A bag contains 4red, 5blue and 3green balls. If 3 ballsare picked at random, what is the probability that both are red? Choose the correct choice from the following choices.
A) 1/33  B) 1/22  C) 1/12  D) 1/44  E) 1/55

Solution: P(Both are red),   =4C3/12C3=1/55   1/55
Answer: E
Jade has 4 flavors of ice cream in his parlor. How many options are there for James to pick a one-flavor, two-flavor, three-flavor or four-flavor order?	Select the correct option.
A) 15 B) 13 C) 14 D) 17 E) 18

Solution: 4C1 + 4C2+ 4C3+4C4 = 15.   15nswer: 15
Answer: A
At a special sale, 8 tickets can be purchased for the price of 6 tickets. If 8 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 8 tickets?
Options:
A) 25%
B) 33.3%
C) 40%
D) 60%
E) 66.6%

Solution: let the price of a ticket be Rs.100, so 6 tickets cost 600 & 8 tickets cost 800   8 tickets purchased at price of 6 tickets ie., for 600, so amount saved s Rs.200,   % of 6 tickets = (200 /800)*100= 
(200 /800)*100 = 25
25 %   25%NSWER:25%
Answer: A
Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand? Choose the correct option:
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: Let the present ages of Anand and Bala be 'a' and 'b' respectively.   a - 10 = 1/3 (b - 10) --- (1)   b = a + 8   Substituting b = a + 12 in first equation,   a - 10 = 1/3 (a - 2) => 3a - 30 = a - 2   => 2a = 28 => a = 14.   ANSWER:14
Answer: C
How long does a train 110metres long running at the speed of 72 km/hr take to cross a bridge 132metres in length?	Pick:	A) 10	B) 11.1	C) 12.1	D) 31.2	E) 21.5

Solution: speed = 72*5/18= 
72*5/18 = 20
20m/s   total distance covered= 110+132= 
110+132 = 242
242m   required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec   Answer is 12.1
Answer: C
Joe drives 420 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?  Choose the correct option
A) 42 B) 54 C) 50 D) 54 E) 56

Solution: t1= 420/60= 
420/60 = 7
7 hours   t2=120/40= 
120/40 = 3
3 hours   T=t1+t2=10 hours   Avg speed = Total Distance/T   = 540/10= 
540/10 = 54
54mph=54
Answer: B
A works twice as fast as B. if both of them can together finish a piece of work in 12 days, then B alone can do it in  Choose the correct answer:
A) 24 days
B) 27 days
C) 36 days
D) 48 days
E) 50 days

Solution: Explanation:   B = 2A   2A × A/3A = 12   2A/3 = 12   A = 18 days   B = 2 × 18 = 36 days   Therefore, B alone can finish the work in 36 days.   Answer: Option 36 days
Answer: C
There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 15 have taken a course in finance and 14 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 2 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses? Answers:  A) 12  B) 8  C) 5  D) 4  E) 9

Solution: 50 Employees. Counting every different attendand to the courses we have:   Accounting: 22   Finance: 15   Marketing: 14   Which would add up to 51 different attendands, which is not possible.   Now 9 have taken exactly 2 courses, which means that there are 9 less different attendands. Say that 9 of the Finance attentands also attended Accounting.   51-9= 
51-9 = 42
42   2 Person has taken all three courses. As above, we subtract him from the number of different attendands. Since this time the person took all three courses, we have to substract him two times.   42-4= 
42-4 = 38
38.   12nswer : 12
Answer: A
Jackson invested $200,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?	Choose the most appropriate option
A) $115,384 B) $120,000 C) $121,072 D) $124,129 E) $130,000

Solution: x be the amount invested in account P   0.12*x +(200000-x)*0.25=60,000   15000/.13=x   x=1500000/13=11...=$105,384   hence answer is $115,384
Answer: A
In a class there are 20 boys and 20 girls. In how many ways can a boy and a girl be selected?
Choose the correct choice from the following answers
A) 508	B) 400	C) 800	D) 570	E) 503

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 20 girls in 20 ways   We select a boy and girl in 20 * 20 ways i.e., = 400 ways.   Answer:400
Answer: B
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Select:
A) 17 1/7	B) 2/7	C) 8/5	D) 4/9	E) 3/8

Solution: Explanation:   1/30 + 1/40 = 7/120   120/7 = 17 1/7 days   So, both together will finish the work in 17 1/ 7 days.   17 1/7nswer:17 1/7
Answer: A
A cab driver 5days income was $45, $50, $60, $65 , $70. Then his average income is? Choose one: A) $58 B) $42 C) $65 D) $48 E) $62

Solution: avg = sum of observations/number of observations   avg income=(45+50+60+65+70)/5= 
(45+50+60+65+70)/5 = 58
58   $58nswer is $58
Answer: A
An isosceles triangle has angles with ratios 1:2:2. What is the measurement of the angle within the triangle with ratio 2?  Choose the correct answer.
A) 36Â°
B) 46Â°
C) 72Â°
D) 92Â°
E) 100Â°

Solution: Given that the ratio is 1:2:2 and that the total angle measurement within a triangle is 180Â°, the equation is   1x + 2x + 2x = 180Â°   5x = 180Â°   x = 36Â°   But since we want to find the angle measurement with ratio 2, we multiple x by 2   2x = 2(36Â°) = 72Â°   Therefore, the answer is 72Â° or 72Â°.
Answer: C
A candidate got 40% of the votes polled and he lost to his rival by 5000 votes. How many votes were cast?  Choose the correct answer
A) 25000  B) 2028  C) 2775  D) 5496  E) 6851

Solution: 40%-----------L   60%-----------W   ------------------   20%----------5000   100%---------? => 25000   25000nswer:25000
Answer: A
If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2012) = ? Pick
A) 2013 B) 2088 C) 270 D) 1881 E) 1781

Solution: f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1= 
3-1 = 2
2, f(1)= 2   f(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2)  ( (1)) +  (1)= 
 ( (1)) +  (1) = 2
2(1) + 3 ⇒⇒ f(2)= 5-2= 
5-2 = 3
3, f(2)= 3   f(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3= 
7-3 = 4
4, f(3)= 4   ..............   f(2012) = 2013   2013ns: 2013
Answer: A
The first three terms of a proportion are 3, 9 and 12. The fourth term is?
Select:
A) 6	B) 36	C) 5	D) 25	E) 30

Solution: Explanation:   (9*12)/3= 
(9*12)/3 = 36
36   ANSWER 36
Answer: B
Find the middle one when The sum of five consecutive even numbers is 65? Choose the most appropriate option.
A) 9 B) 13 C) 15 D) 17 E) 11

Solution: Let the first number be n   Let the second number be n + 2   Let the third number be n + 4   Let the third number be n + 6   Let the third number be n + 8   n + n + 2 + n + 4 + n + 6 + n + 8= 65   Combine like terms:   5n + 20 = 65   5n = 65 - 20   5n = 45   5n = 45   n = 9   n + 2 = 11   n + 4 = 13   n + 6 = 15   n + 8 = 17   The middle number is 13   Answer: 13
Answer: B
A, B and C enter into a partnership. They invest Rs. 70,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?	Choose the correct choice from the following options
A) 21 : 32 : 4
B) 21 : 26 : 4
C) 21: 12 : 1
D) 21: 16 : 28
E) none

Solution: Sol.   A : B : C = (40000 * 36) : (80000 * 12 + 40000 * 24)   : (120000 * 24 + 40000 * 12) =252 : 192 : 336 = 21: 16 : 28   Answer 21: 16 : 28
Answer: D
Three fill pipes A, B and C can fill separately a cistern in 3, 4 and 6 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full ?
Select:  A) 2 1⁄9 min.  B) 4 1⁄2 min.  C) 3 3⁄4 min.  D) 3 min.  E) None of these

Solution: Let cistern will be full in x min. Then,   part filled by A in x min + part filled by B in (x – 1) min + part filled by C in (x – 2)min = 1   ⇒ x/3+x−1/4+x−2/6=1   ⇒ 9x = 19 ⇒ x = 19⁄9 = 21⁄9 min.   2 1⁄9 min.nswer 2 1⁄9 min.
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 option
A) 228
B) 240
C) 188
D) 266
E) 281

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.   Answer: 240
Answer: B
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 60 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ? Options:
A) 2hrs, 48mins
B) 7hrs,
C) 7hrs, 12mins
D) 13hrs, 4mins
E) 14hrs, 24mins

Solution: The rate of pump 1 = 4x job/minute.   The rate of pump 2 = 2x job/minute.   The rate of pump 3 = x job/minute.   Given that x+2x+4x=1/60 --> x=1/420--> (time) = (reciprocal of rate) = 392 minutes = 7 hours   Answer: 7hrs,.
Answer: B
A machine puts c caps on bottles in m minutes. How many R hours will it take to put caps on b bottles?	Select:  A) 60bm/c  B) R=bm/60c  C) bc/60m  D) 60b/cm  E) b/60cm

Solution: The machine puts c caps in m minutes or c caps in m/60 hours.   Rate = c/m/60 = 60c/m.   To put b caps the machine will take:-   Time = Work/Rate   T = b/60c/m = bm/60c   Answer is R=bm/60c.
Answer: B
At the beginning of a year ,the owner of a jewel shop raised the price of all the jewels in his shop by x% and lowered them by x%. The price of one jewel after this up and down cycle reduced by Rs.100.The owner carried out the same procedure after a month.After this second up-down cycle,the price of that jewel was Rs.2304.Find the original price of that jewel(in Rs.)  Pick one:	A) 2500	B) 550	C) 2600	D) 2650	E) None of these

Solution: Solution: Let the original price = y,   After first change, It becomes,   y * (1+(x/100))   After second change, It becomes   y *(1+(x/100))(1-(x/100)) = y(1-(x/100)^2 )   Thus,   x2*y = 106 ------- (1)   x2 = 106/y   Now,   y(1-(106/10000y))2 = 2304(similar to above)   y(1-100/y)2 = 2304   y = 2500.   2500nswer: Option 2500
Answer: A
By approximately what percent is x greater than 1/2 if (1/2)(x) = 1? Choose one:  A) 732%  B) 560%  C) 641%  D) 370%  E) 300%

Solution: what percent is x greater than 1/2 if (1/2)(x) = 1?   => x = 2   % change =[(2 -1/2) /(1/2) ] * 100   = (4 - 1) *100= 
(4 - 1) *100 = 300
300% approx   Ans ,300%
Answer: E
Mirun travels the first 3 hours of her journey at 20 mph speed and the remaining 2 hours at 40 mph speed. What is the average speed of Mirun 's travel in mph?
Choose the correct choice from the following choices
A) 26mph	B) 27mph	C) 22mph	D) 28mph	E) 23mph

Solution: Explanation :   Average speed=Total Distance/Time.   Total distance travelled by Mirun = Distance covered in the first 3 hours + Distance covered in the next 2 hours.   Distance covered in the first 3 hours = 3Ã—20=60 miles   Distance covered in the next 2 hours= 2Ã—40=80 miles   Therefore, total distance travelled = 60+80= 
60+80 = 140
140 miles.   The total time taken= 3+2= 
3+2 = 5
5hours.   Hence, the average speed=140/5= 
140/5 = 28
28mph.   Answer : 28mph
Answer: D
Three fifth of the roads from A to B are at least 5 miles long, and 5/6 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long? Options:	A) 1/6	B) 1/4	C) 2/3	D) 3/4	E) 11/12

Solution: So please:   Find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long: P=1-2/5*5/6=2/3.   Answer: 2/3.
Answer: C
Each side of a rectangle is increased by 100% .By what percentage does the area increase?	Choose the most appropriate option:  A) 300%  B) 400%  C) 500%  D) 200%  E) 600%

Solution: original area=a*b where a and b are sides   after increase in side increase in area will be=(((2a*2b)-(a*b))*100)/(a*b)=300%   300%NSWER:300%
Answer: A
If the number of boys in a class are 8 times the number of girls, which value can never be the total number of students?  Choose the most appropriate option:
A) 27  B) 45  C) 81  D) 42  E) 56

Solution: Explanation :   Let the number of girls = x and the number of boys = 8x   Then, total number of students = x + 8x = 9x   i.e., the total number of students must be a multiple of 9   From the given choices, 42 cannot be a multiple of 9.   Hence, 42 cannot be the total number of students.   Answer : 42
Answer: D
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Answers
A) 18%  B) 28%  C) 34%  D) 39%  E) 93%

Solution: 1500 ---- 270   100 ---- ? => 18%   18%nswer: 18%
Answer: A
If four coins are tossed, the probability of getting two heads and two tails is	Choose the correct choice from the following answers:
A) 3/8
B) 3/5
C) 3/9
D) 3/1
E) 3/3

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer:3/8
Answer: A
In how many different ways can 5 boys and 2 girls sit on a bench such that the girls always sit together?
Choose the correct choice from the following answers:
A) 360
B) 720
C) 1440
D) 1800
E) 2160

Solution: We can think of the girls as one unit.   The number of ways to arrange 6 units in order is 6!   The girls can have different arrangements, so we multiply this by 2!   The number of ways to sit is 6!*2!=1440   The answer is 1440.
Answer: C
In how many different ways can the letters of the word ‘CAN’ be arranged?	Options:	A) 6	B) 12	C) 8	D) 2	E) 4

Solution: A   6   The word SMART has 3 distinct letters.   Number of arrangements = 3!   = 3 × 2 × 1 = 6
Answer: A
How long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length?	Options:  A) 36.7  B) 26.8  C) 22.8  D) 21.1  E) 16.2

Solution: D = 200 + 180= 
200 + 180 = 380
380 m   S= 60 * 5/18 = 50/3   T = 380 * 3/50= 
380 * 3/50 = 114/5 = around 22.8
22.8 sec   Answer:22.8
Answer: C
The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
Choices:  A) 2368  B) 2768  C) 1121  D) 4096  E) 2687

Solution: Explanation:   Principal = [4913 / (1 + 25/(4 * 100))3]   = 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.   Answer:4096
Answer: D
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 25 hour to row to a place and come back, how far is the place?	Select the correct option:
A) 24km	B) 30km	C) 48km	D) 120km	E) 15km

Solution: Speed of down stream = 10+2= 
10+2 = 12
12kmph   speed of upstream= 10-2= 
10-2 = 8
8kmph   Let the required distance be xkm   x/12 + x/8= 25   2x+3x = 600   x = 120 km   Answer is 120km
Answer: D
In the rectangular coordinate system, what is the area of triangle CDE with points
C=(3,3)
D=(4,1)
E=(0,8)	Choose the correct choice from the following answers.
A) 0.75	B) 1	C) 0.5	D) 0.25	E) 1.5

Solution: Use the formula of the distance formula   square root (x2-x1)^2+(y2-y1)^2   Do this for each of the sides and then the value is given as 0.5.
Answer: C
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
Choose the correct choice from the following options
A) 25/42  B) 25/47  C) 25/48  D) 25/21  E) 25/41

Solution: Total fruits = 9   Since there must be at least two apples,   (⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃ = 25/42   25/42nswer:25/42
Answer: A
Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?
Pick: A) 9 B) 12 C) 14 D) 16 E) 18

Solution: Explanation:   We have, 2/3 * 2/5 * 3/4 * X = 36   X = 180   Now, 4/5 * X ===> 4/5 * 180= 
4/5 * 180 = 144
144   √144= 12   ANSWER: 12
Answer: B
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $56. If $2,000 is the total amount invested, how much is invested at 10 percent?
Answers.
A) a. $280
B) b. $800
C) c. $892
D) d. $1108
E) e. $1200

Solution: 2 equations with 2 unknowns   10x / 100 - 8y / 100 = 56   and   x + y = 2000   Solving these 2 equations, x = 1200 and y = 800   Answer e. $1200.
Answer: E
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?	Select the correct option.
A) s.7248  B) s.4518  C) s.4518  D) s.4530  E) s.4517

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5 = Rs.7248   s.7248nswer: s.7248
Answer: A
The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $21?	Choose the correct choice from the following options:
A) 33
B) 35
C) 37
D) 39
E) 41

Solution: $21 = 3 * $6 + $3   The number of doughnuts is 3*12 + 3= 
3*12 + 3 = 39
39   The answer is 39.
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? Choose the correct choice from the following answers.
A) Rs.544	B) Rs. 8112	C) Rs.820	D) Rs.639	E) Rs.897

Solution: Explanation:   Explanation:   A = 7500(26/25)2 =Rs. 8112   Answer:Rs. 8112
Answer: B
If k > 0, x + 2k = y, and y + 5k = z, what is the ratio between z - x and y - x ? Choose the correct option
A) 3 to 1 B) 3 to 2 C) 4 to 3 D) 7 to 2 E) 5 to 3

Solution: y-x = 2k   z-y = 5k   Let's add the two equations together:   z-x = 7k   The ratio of z-x to y-x is 7:2.   The answer is 7 to 2.
Answer: D
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? Choose the correct option:
A) 29.25
B) 29.28
C) 39.25
D) 29.21
E) 29.22

Solution: 29.25verage of 9 = x   9x = 8 * 3 + x * 2 x = 3.25   Total = 9 * 3.25 = 29.25.29.25
Answer: A
Two pipes P and Q can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe P is turned off. What is the total time required to fill the tank?  Choices
A) 10 min  B) 12 min  C) 14 min 40 sec  D) 15 min 30 sec  E) 18 min

Solution: filled in 4 min = 4(1/15 + 1/20) = 7/15   part = 1-7/15==>8/15   filled by Q in 1 min = 1/20   x=8/15*1*20==> 10 2/3 min==>10 min 40 sec   so tank will be full in (4 min +10 min 40 sec) = 14min 40 sec   ANSWER 14 min 40 sec
Answer: C
If f(2, 3) = 17 and f(2, 4) = 24, what is the value of f(2, 5)?	Choose the correct option:
A) 107
B) 127
C) 147
D) 33
E) Cannot be determined

Solution: Solution:   The function f(a, b) = a3 + b2   f(2, 3) therefore is = 17 and   f(2, 4) = 24   Therefore, f(2, 5) = 33   Answer 33
Answer: D