MU-NLPC/Calc-aqua_rat huggingface dataset:
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?  Pick one
A) 35	B) 25	C) 40	D) 52	E) 16

Solution: Excluded number = 27*5-25*4 = 135-100= 
135-100 = 35
35   35nswer is 35
Answer: A
In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 6 Ohms?
Select the correct option.
A) 7/30	B) 11/30	C) 11/15	D) 30/11	E) 15/11

Solution: 1/R = 1/x + 1/y   1/R = 1/5+1/6 = 11/30   R = 30/11   The answer is 30/11.
Answer: D
probability Like between 100 and 999 how many no have the probability that they does not contain 7 ? Choose the correct choice from the following answers:
A) 646/900	B) 648/900	C) 649/900	D) 658/900	E) 642/900

Solution: There are 900 numbers between 100 and 999.   those that contain 7 are.....   107, 117, 127, ........ -- 10 of these   207, 217, 227, ........ -- 10 of these too   307, 317, 327, .......   ....   9*10 numbers that end in 7.   170, 171, 172, 173, 174, 175, 176, (NOT 177 WE ALREADY COUNTED IT), 178, 179 -- 9 of these   270, 271, 272, 273, 274, 275, 276, (NOT 277 WE ALREADY COUNTED IT), 278, 279 -- 9 of these   ...   and so on   so 9*9 numbers that have a middle digit of 7   and finally   700, 701, 702, 703, 704.................., but NOT   (707, 717, 727,....) or (770, 771, 772, 773, ....)   So that's  (100 - 10 - 9)= 
 (100 - 10 - 9) = 81
81 numbers that start with 7.   We had 900 numbers.   N= 900 - 90 - 81 - 81= 
900 - 90 - 81 - 81 = 648
648   So the probability is  648/900= 
 648/900 = 18/25 = around 0.72
0.72   ANSWER:648/900
Answer: B
What is the average (arithmetic mean) of all multiples of 10 from 10 to 200 inclusive?  Choose the correct choice from the following options.
A) 190 B) 105 C) 200 D) 205 E) 210

Solution: This question can be solved with the Average Formula and 'bunching.'   We're asked for the average of all of the multiples of 10 from 10 to 200, inclusive.   To start, we can figure out the total number of terms rather easily:   1(10) = 10   2(10) = 20   ...   20(10) = 200   So we know that there are 40 total numbers.   We can now figure out the SUM of those numbers with 'bunching':   10 + 200= 
10 + 200 = 210
210   20 + 190= 
20 + 190 = 210
210   30 + 180= 
30 + 180 = 210
210   Etc.   Since there are 20 total terms, this pattern will create 10 'pairs' of 210.   Thus, since the average= (Sum of terms)/(Number of terms), we have...   (10)(210)/(20) =105   Answer : 105
Answer: B
10 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?	Choose the correct answer
A) 144 B) 131 C) 115 D) 90 E) 75

Solution: there are 10 business exec and in each handshake 2 business execs are involved.   hence 10C2=45   Also, each of 10 exec will shake hand with every 3 other chairmen for total of 30 handshake.   total=45+30= 
45+30 = 75
75   ANS: 75
Answer: E
The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?  Pick.
A) 57.6  B) 51.6  C) 51.4  D) 51.1  E) 51.1

Solution: Let the required means score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 52 * 100   = 1600 + 775 + 55x = 5200   = 55x = 2825   = x = 565/11 = 51.4.   Answer: 51.4
Answer: C
A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 40 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?
Select the correct option:
A) 45	B) 20	C) 30	D) 40	E) 50

Solution: 40*T =120 TH50R50FOR50 T = 120/40= 
120/40 = 3
3   ON R50TURN SP5050D * ( 5.4 -3)=120 TH50R50FOR50 T = 120/2.4= 
120/2.4 = 50
50   50
Answer: E
A certain school principal must choose 5 students to attend a field trip out of a group of 11 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?	Choose the correct option.
A) 1,260
B) 2,520
C) 9,240
D) 6,020
E) 10,080

Solution: 5 students can be selected out of 11 students in 11C5 ways.   out of the remaining 5 students,Note taker can be chosen in 5 ways.   Finally only 4 students remain from which we can choose a treasurer in 4 ways.   Total number of ways = 462 * 5 *4= 
462 * 5 *4 = 9_240
9240   correct answer - 9,240
Answer: C
How much water should be added to 12 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Choose the most appropriate option:	A) 28 liters	B) 27 liters	C) 30 liters	D) 32 liters	E) 35 liters

Solution: Let x ltr water to be added   2ltr alcohol to be represented as (20(1-3/4(new soln.=12+x)))   2=5%*(12+x)-------->x=28   28 litersns 28 liters
Answer: A
In the rectangular coordinate system, points (4, 0) and (– 4, 0) both lie on circle C. What is the maximum possible value of the radius of C Options.
A) 2  B) 4  C) 8  D) 16  E) None of the above

Solution: It takes 3 distinct points to define a circle. Only 2 are given here.   The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 4   4
Answer: B
If n is the smallest integer such that 54 times n is the square of an integer, what is the value of n?	Choose one:  A) 2  B) 1  C) 6  D) 12  E) 24

Solution: 54 can written as = 2 * 3 * 3 * 3 --> 2^1 * 3^3 ---(1)   so for 54 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.   here 2 already has even power -> So n has to be 2 to make the power of 1 in (1) even   Option 1 is correct
Answer: B
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Choose the correct choice from the following answers.
A) 160  B) 170  C) 190  D) 210  E) 230

Solution: 7p3 = 7 × 6 × 5 = 210   Option '210'
Answer: D
If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choose the most appropriate option.
A) 32778 B) 50000 C) 27798 D) 27799 E) 27601

Solution: Let the sum be Rs. x. Then,   (x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250   25x - 20x = 250000   x = 50000.Answer:50000
Answer: B
A publishing company advertisd the job opening.The response was good. One hundred people applied for the post. The company wanted someone expert in both physics and chemistry. Out of which 10 did not had any specalization.70 of them had got physics training and 82 got training in chemistry.how many applicants had got training in both
physics and chemistry?
Choose the correct answer.
A) 60 B) 61 C) 62 D) 63 E) 64

Solution: (100-10)= 
(100-10) = 90
90-82= 
90-82 = 8
8,70-8=62   ANSWER:62
Answer: C
20 litres of a mixture contains milk and water in the ratio 3:1. How much milk must be added to this mixture to have a mixture containing milk and water in the ratio 4 :1 ?  Select the correct option:
A) 2  B) 5  C) 6  D) 7  E) 8

Solution: Quantity of milk in the given mixture = \inline \frac{20\times 3}{4}=15 lts   Quantity of water in this mixture = 20 - 15= 
20 - 15 = 5
5 lts   Let x litres of milk be added to given mixture to have the requisite ratio of milk and water   Then   \inline \Rightarrow 15 + x=20   \inline \therefore x = 5   \inline \therefore Milk to be added = 5 litres   Answer:5
Answer: B
The present population of a town is 260. Population increase rate is 10% p.a. Find the population of town after 1 years?	Pick:
A) 100
B) 120
C) 200
D) 226
E) 286

Solution: P = 260   R = 10%   Required population of town = P*(1 + R/100)^T   = 260*(1 + 10/100)   = 260*(11/10)= 
260*(11/10) = 286
286   Answer is 286
Answer: E
A man can row downstream at 24 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?	Choose the most appropriate option:  A) 2, 7  B) 7, 4  C) 8, 7  D) 4, 7  E) 17, 7

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 24 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 34 => x = 17, y = 7   Answer:17, 7
Answer: E
A cube of side 4 meter length is cut into small cubes of side 25 cm each. How many such small cubes can be obtained?	Pick one:
A) 4069  B) 6048  C) 1000  D) 4096  E) 4060

Solution: Along one edge, the number of small cubes that can be cut   = 400/25= 
400/25 = 16
16   Along each edge 16 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut= 16 * 16 * 16= 
16 * 16 * 16 = 4_096
4096   Answer:4096
Answer: D
The mass of 1 cubic meter of a substance is 300 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) Choose the correct choice from the following options.
A) 3.33	B) 3.34	C) 3.53	D) 5.32	E) 3.92

Solution: 300 kg - 1 cubic meter;   300,000 g - 1 cubic meter;   300,000 g - 1,000,000 cubic centimeters;   1 g - 1,000,000/300,000 = 10/3 = 3.33 cubic centimeters.   3.33nswer: 3.33.
Answer: A
A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train. Choose the most appropriate option:	A) 150 meter	B) 100 meter	C) 105 meter	D) 120 meter	E) 130 meter

Solution: Speed = 90*(5/18) m/sec = 25 m/sec   Length of Train (Distance) = Speed * Time     (25) * 6= 
  (25) * 6 = 150
150 meter   150 meternswer:150 meter
Answer: A
The bacteria have the probability of split into 3 and probability to die is 1/3rd of the total bacteria. Let the probability is P. Some of them survived with probability 1/5.Then which among the following relation is true?	Choose the correct choice from the following options.
A) P=1/3+1/5*3 B) P=1/3+1/5*4 C) P=1/3+1/5*2 D) P=1/8*(1/8-3) E) P=1/5*(1/4-3)

Solution: The bacteria have the probability of split into 3 and probability to die is 1/3rd of the total bacteria. Let the probability is P. Some of them survived with probability 1/5.Then which among the following relation is true?   a)P=1/3+1/5*3 b)P=1/5*(1/8-3)   P=1/3+1/5*3 is true.   P=1/3+1/5*3NSWER:P=1/3+1/5*3
Answer: A
What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 20 ?  Options:
A) -1
B) 6
C) 7
D) 12
E) 14

Solution: First of all |x - 3|^2 = (x - 3)^2, so we have: (x - 3)^2 + |x - 3| = 20.   When x < 3, x - 3 is negative, thus |x - 3| = -(x - 3). In this case we'll have (x - 3)^2 - (x - 3) = 20 --> x = -1 or x = 8. Discard x = 8 because it's not in the range we consider (< 3).   When x >= 3, x - 3 is non-negative, thus |x - 3| = x - 3. In this case we'll have (x - 3)^2 + (x - 3) = 20 --> x = -2 or x = 7. Discard x = -2 because it's not in the range we consider (>= 3).   Thus there are two solutions: x = -1 and x = 7 --> the sum = 6.   Answer: 6.
Answer: B
A fair coin is tossed 4 times. What is the probability of getting at least 2 tails? Pick.
A) 1/16	B) 1/2	C) 3/16	D) 11/16	E) 3/8

Solution: Let's find the probability of the opposite event and subtract this value from 1.   The opposite event would be getting zero tails (so all heads) or 1 tail.   P(HHHH)=(12)4=116P(HHHH)=(12)4=116.   P(THHH)=4!3!∗(12)4=416P(THHH)=4!3!∗(12)4=416, we are multiplying by 4!3!4!3! since THHH scenario can occur in number of ways: THHH, HTHH , HHTH, or HHHT (notice that 4!3!4!3! basically gives number of arrangements of 4 letters THHH out of which 3 H's are identcal).   P(T≥2)=1−(116+416)=1116P(T≥2)=1−(116+416)=1116.   Answer: 11/16.
Answer: D
A train running at the speed of 80 km/hr crosses a pole in 9 sec. What is the length of the train?	Choose the correct option
A) 298 m
B) 200 m
C) 208 m
D) 988 m
E) 299 m

Solution: Speed = 80 * 5/18 = 200/9 m/sec   Length of the train = speed * time = 200/9 * 9= 
200/9 * 9 = 200
200 m   Answer:200 m
Answer: B
A certain business produced x rakes each month form November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.30 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months form November through October?
Choices:
A) 0.40x	B) 4.20x	C) 1.40x	D) 1.60x	E) 3.20x

Solution: because we have a total of 4X   Also from Mar- Oct the rakes will be deducted by 1/8 X   so   In Apr they pay for the storage 0.3 * 4X * 7/8   In May they pay for the storage 0.3 * 4X * 6/8   In Jun they pay for the storage 0.3 * 4X * 5/8   In Jul they pay for the storage 0.3 * 4X * 4/8   In Aug they pay for the storage 0.3 * 4X * 3/8   In Sep they pay for the storage 03 * 4X * 2/8   In Oct they pay for the storage 0.3 * 4X * 1/8   total = 0.3 * 4X * 1/8 * [ 1+2+3+4+5+6+7]   = 0.3 * X/2 * (28)   = 4.2X   (4.20x)
Answer: B
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 7 years hence?
Pick
A) 22	B) 77	C) 74	D) 98	E) 71

Solution: A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   7 years, their ages will be 47 and 27.   Sum of their ages = 47 + 27= 
47 + 27 = 74
74.   Answer: 74
Answer: C
A certain sum of money at simple interest amounted Rs.890 in 10 years at 3% per annum, find the sum?
Pick
A) 681.61	B) 682.61	C) 683.61	D) 684.61	E) 685.61

Solution: 890 = P [1 + (10*3)/100]   P = 684.61   Answer: 684.61
Answer: D
1,000^2 + 1,001^2 =  Select
A) 6,030,053  B) 6,002,001  C) 6,030,055  D) 6,030,056  E) 6,030,057

Solution: Interesting problem.   I think key is to notice that all the given answer choices differs in last two digits. Therefore, our entire focus should be to figure out how the given terms contribute to last two digits of total.   1000^2 -> 00   1001^1 -> 01   Total -> *1   Answer 6,002,001.
Answer: B
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Choose the correct choice from the following answers:
A) 2000  B) 2100  C) 2200  D) 2300  E) 2400

Solution: Explanation:   Total expenditure for the first 3 months = 3 × 1600 = 4800   Total expenditure for 4 months = 4 × 1550 = 6200   Total expenditure for 5 months = 5 × 1800 = 9000   Total expenditure and saving (which is income for one year)   = 4800 + 6200 + 9000 + 5200 = Rs. 25200   So, Average monthly income = 25200/12 = Rs. 2100   Answer 2100
Answer: B
In the Biotechnology class of 2000, there were E graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is E equal to?	Options.
A) 69.	B) 71.	C) 73.	D) 75.	E) 76.

Solution: Total = 32 +45 -13 +9= 
32 +45 -13 +9 = 73
73 .... My first post on the forum... I hope I am correct   73. is correct choice.
Answer: C
One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:	Choices.
A) 180 min
B) 144 min.
C) 126 min
D) 114 min
E) 124 min

Solution: Explanation:   Let time taken by the faster pipe to fill the tank =x minutes.   Then, time taken by the slower pipe to fill the tank =4x minutes.   Time taken by both pipes together to fill the tank=x x 4x /x+4 x=4 x / 5   4x/5=36   ⇒x=45   Time taken by the slower pipe to fill the tank=4x=180 minutes.   180 minnswer: Option 180 min
Answer: A
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?	Choose one.
A) 400 km B) 500 km C) 360 km D) 550 km E) 600 km

Solution: Sol. Average speed of a tractor = 25 km / h   The speed of a bus in an hour = 25 × 2 = 50 km   The speed of a car in an hour = 9/5 * 50= 
9/5 * 50 = 90
90 km   So, the distance covered by car in 4 h is   90 × 4= 360 km   Ans.(360 km)
Answer: C
Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is : Choose the most appropriate option.
A) 1 hr 20 min
B) 1 hr 10 min
C) 1 hr 11 min
D) 1 hr 12 min
E) none

Solution: Sol.   New speed = 6/7 of usual speed.   New time = 7/6 of usual time   ∴ [7/6 of usual time] - (usual time) = 1/5 hr.   ⇒ 1/6 of usual time = 1/5 hr ⇒ usual time = 6/5 hr = 1 hr 12 min.   Answer 1 hr 12 min
Answer: D
How many even three-digit integers greater than 700 are there such that all their digits are different? Pick one:
A) 40 B) 72 C) 80 D) 112 E) 120

Solution: Case 1: Numbers starting with 7   7 _ _   The unit digit can take 5 numbers (0,2,4,6,8) to be EVEN so 5 ways.   The tens digit can take remaining 8 numbers left after using 2 numbers so 8 ways.   Total = 8*5= 
8*5 = 40
40   Case 2: Numbers starting with 8   8 _ _   The unit digit can take 4 numbers (0,2,4,6) to be EVEN so 4 ways.   The tens digit can take remaining 8 numbers left after using 2 numbers so 8 ways.   Total= 8*4= 
8*4 = 32
32   Case 3: Numbers starting with 9   9 _ _   The unit digit can take 5 numbers (0,2,4,6,8) to be EVEN so 5 ways.   The tens digit can take remaining 8 numbers left after using 2 numbers so 8 ways.   Total= 8 *5= 
8 *5 = 40
40   Hence 40+32+40=72, correct answer is 112
Answer: D
The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
Choose the correct choice from the following:
A) 33 1/3% B) 43 1/3% C) 83 1/3% D) 36 1/3% E) 33 1/7%

Solution: 100   75   -------   75 ------- 25   100 ------ ? => 33 1/3%   33 1/3%nswer:33 1/3%
Answer: A
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choose the correct choice from the following answers.
A) 288 B) 200 C) 279 D) 992 E) 208

Solution: (800*3*3)/100= 
(800*3*3)/100 = 72
72   920 + 72= 
920 + 72 = 992
992   Answer: 992
Answer: D
P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?	Choose the correct choice from the following options:
A) 11 days
B) 16 days
C) 13 days
D) 15 days
E) 19 days

Solution: B   16 days   P = 3Q   P + Q = 3Q + Q = 4Q   These 4Q people can do the work in 12 days, which means Q can do the work in 48 days.   Hence, P can do the work in 16 days.
Answer: B
If the price of a certain bond on May 1st was 3/4 the price of the bond on June 1st and the price of the bond on July 1st was 25% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?	Select:
A) 50%	B) 75%	C) 118.5%	D) 133 1/3%	E) 150%

Solution: The price on June 1st = 12 (assume);   The price on May 1st = 3/4*12= 
3/4*12 = 9
9;   The price on July 1st= 9*1.25 = 11.25.   The average price of the bond on May 1st and July 1st = (9+11.25)/2 = 10.125.   The price of the bond on June 1st (12) is 32/27 times (118.5%) the average price of the bond on May 1st and July 1st.   Answer: 118.5%.
Answer: C
Present ages of Kiran and Shyam are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Shyam's present age in years?	Select the correct option:	A) 12	B) 18	C) 24	D) 32	E) 43

Solution: Ratio of the present age of Kiran and Syam = 5 : 4   =Let the present age of Kiran = 5x   Present age of Shyam = 4x   After 3 years, ratio of their ages = 11:9   = (5x + 3) : (4x + 3) = 11 : 9   = (5x+3) / (4x+3) = 11/9   = 9(5x + 3) = 11(4x + 3)   = 45x + 27 = 44x + 33   = x = 33-27= 
33-27 = 6
6   Shyam's present age= 4x = 4×6 = 24   answer :24
Answer: C
Four persons can cross a bridge in 3,7,13,17 minutes.Only two can cross at a time.Find the minimum time taken by the four to cross the bridge ?  Choose the correct choice from the following:
A) 20 minutes.  B) 25 minutes.  C) 30 minutes.  D) 40 minutes.  E) 60 minutes.

Solution: Explanation:   First send 17 and 7. After 7 minutes, 7 is at finish and 17 needs 10 more minutes to complete his travel. now send 13. After 10 minutes 17 reaches finish and 13 needs 3 more minutes to complete. now send 3. both 3 and 13 reach destination at the same time after 3 minutes. hence the time taken is  7+10+3= 
 7+10+3 = 20
20 minutes.   20 minutes.nswer 20 minutes.
Answer: A
A man can row his boat with the stream at 25 km/h and against the stream in 13 km/h. The man's rate is? Choose the correct choice from the following choices.
A) 1 kmph B) 2 kmph C) 6 kmph D) 8 kmph E) 3 kmph

Solution: DS = 25   US = 13   S = ?   S = (25 - 13)/2= 
(25 - 13)/2 = 6
6 kmph   Answer:6 kmph
Answer: C
The average of a batsman for 40 innings is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, his average drops by 2 runs. Find his highest score.	Choose the correct choice from the following answers:
A) 172  B) 173  C) 174  D) 175  E) None of the above

Solution: Total runs = 40 × 50 = 2000   Let his highest score be = x   Then his lowest score = x – 172   Now 200−x−(x−172)/38=48   ⇒ 2x = 2172 – 1824   ⇒ x = 174   Answer 174
Answer: C
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 8 km each. Then they turned left and ran for another 6 km.
What is the distance (in kilometers) between the the two twins when they stop?  Select:  A) 18  B) 20  C) 22  D) 24  E) 26

Solution: The distance between them is the hypotenuse of a right angle triangle with sides 12 km and 16 km. The hypotenuse = sqrt(12^2 + 16^2) = 20   The answer is 20.
Answer: B
A bag marked at Rs. 80 is sold for Rs. 68. The rate of discount is	Choose the correct option:
A) 10% B) 15% C) 20% D) 22% E) None

Solution: Solution   Rate of discount	= (12 / 80 x 100)%   = 15%.   Answer 15%
Answer: B
A woman introduces a man as the son of the brother of her mother. How is the man, related to the woman ?
Choose the correct choice from the following choices:  A) Nephew  B) Son  C) Cousin  D) Uncle to Grandson  E) Uncle

Solution: Explanation:   Brother of mother — Uncle: Uncle's son — Cousinousin   Answer: Cousin) Cousinousin
Answer: C
3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?  Choose one:
A) 46% B) 49% C) 57% D) 59% E) 61%

Solution: Total number of votes polled = (6136 + 7636 + 11628)= 
(6136 + 7636 + 11628) = 25_400
25400   So, Required percentage= 11628/25400 * 100 = 46%   46%
Answer: A
An empty fuel tank with a capacity of 204 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
Choose the correct answer:
A) 160 B) 150 C) 100 D) 66 E) 50

Solution: Say there are A gallons of fuel A in the tank, then there would be 204-A gallons of fuel B.   The amount of ethanol in A gallons of fuel A is 0.12A;   The amount of ethanol in 204-A gallons of fuel B is 0.16(204-A);   Since the total amount of ethanol is 30 gallons then 0.12A+0.16(204-A)=30 --> A=66.   Answer: 66.
Answer: D