MU-NLPC/Calc-aqua_rat huggingface dataset:
A boat having a length 7 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: Choose the correct choice from the following answers.
A) 100 kg
B) 120 kg
C) 89 Kg
D) 80 Kg
E) 210 Kg

Solution: Volume of water displaced	= (7 x 3 x 0.01) m3   = 0.21 m3.   Mass of man = Volume of water displaced x Density of water   = (0.21 x 1000) kg   = 210 kg.   Answer: 210 Kg
Answer: E
If $910 are divided between worker A and worker B in the ratio 5:9,what is the share that worker B will get?  Options:
A) 62.27%
B) 63.28%
C) 64.29%
D) 65.31%
E) 66.32%

Solution: Worker B will get 9/14 = 64.29%   The answer is 64.29%.
Answer: C
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?	Choose the correct choice from the following answers: A) 287 B) 278 C) 629 D) 480 E) 283

Solution: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.   4a = 2(l + b)   2a = l + b   l . b = 480   Answer:480
Answer: D
If a fair coin lands on heads 3 times out of 4 tosses, what is the probability that it will land on heads on the 5th toss?	Select
A) 2/4	B) 1/4	C) 1/8	D) 2/8	E) 3/4

Solution: As the given coin is a fair coin,t the probability of getting ail on the fifth toss is independent of the out comes in the previous 4 tosses. So probability = 2/4 => 1/2   2/4nswer:2/4
Answer: A
At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 8. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 4. How many cooks does the restaurant have?  Choose one:
A) 4 B) 6 C) 9 D) 12 E) 15

Solution: Originally there were 3k cooks and 8k waiters.   The new ratio is 1:4 which equals 3:12.   12k = 8k+12   k=3   There are 9 cooks.   The answer is 9.
Answer: C
If 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?  Choose the correct answer.
A) 47.6 kg  B) 52.6 kg  C) 59.6 kg  D) 56.6 kg  E) 57.6 kg

Solution: (3 * 5)/48 = (9 * 2)/ x   x = 57.6 kg   ANSW57.6 kgR:57.6 kg
Answer: E
A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choose one
A) 37  B) 39  C) 41  D) 42  E) 43

Solution: Let the original number be 'a'   Let the divisor be 'd'   Let the quotient of the division of aa by dd be 'x'   Therefore, we can write the relation as a/d = x and the remainder is 24.   i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.   We know that a=dx+24. Therefore, 2a = 2dx + 48   The problem states that (2dx+48)/d leaves a remainder of 11.   2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.   The remainder of 11 was obtained by dividing 48 by d.   When 48 is divided by 37, the remainder that one will obtain is 11.   Hence, the divisor is 37.   37)
Answer: A
Sonika deposited Rs.13000 which amounted to Rs.10200 after 4 years at simple interest. Had the interest been 5% more. She would get how much? Choose the correct choice from the following answers: A) 18990 B) 13002 C) 12800 D) 12300 E) 14500

Solution: (13000*4*5)/100= 
(13000*4*5)/100 = 2_600
2600   10200   --------   12800   Answer: 12800
Answer: C
A train passes a station platform in 40 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 choice from the following answers.
A) 300
B) 220
C) 240
D) 250
E) 260

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 40= 15   x + 300 = 600   x = 300 m.   300nswer: Option 300
Answer: A
What is the sum of the multiples of 4 between 13 and 125 inclusive?	Pick:	A) 1,890	B) 1,960	C) 2,200	D) 3,780	E) 4,400

Solution: The first multiple of 12 between 13 and 125 is 16 while the last is 124   total number of terms is given by 124=16+(n-1)4   4n-4=108   n=112/4= 
112/4 = 28
28   or,   (124-16)/4 + 1= 
(124-16)/4 + 1 = 28
28   so , we have 28 multiples of 12 between 13 and 125   sum=14(2*16+(27)4)   =14(140)   =1960   ANSWER:1,960
Answer: B
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choose the correct choice from the following choices.
A) 6.05	B) 6.79	C) 6.02	D) 6.09	E) 6.01

Solution: Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 3/100)2] = Rs. 106.09 Effective rate = (106.09 - 100)= 
(106.09 - 100) = 6.09
6.09%.Answer: 6.09
Answer: D
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is: Choose the correct answer.
A) 1:2	B) 2:3	C) 3:4	D) 3:5	E) 3:6

Solution: Let the ratio be k : 1. Then,   k * 16.4 + 1 * 15.4 = (k + 1) * 15.8   = (16.4 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.6 = 2/3   Required ratio = 2/3 : 1 = 2:3.   ANSWER:2:3
Answer: B
According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 30, by how much does the temperature in degrees Celsius (C) increase?  Choose the correct choice from the following answers:
A) 9 B) 16.66 C) 47 D) 48 3/5 E) 59

Solution: You can plug in values.   C = 5/9*(F-32)   F=32 --> C=0;   F=32+30= 
32+30 = 62
62 --> C=5/9*30=16.66.   Increase = 16.66 degrees.   Answer: 16.66.
Answer: B
In 2005, 25 percent of the math department’s 50 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department? Choose the correct choice.
A) 15%	B) 50%	C) 62.5%	D) 108%	E) 160%

Solution: Female students in 2005 = 25% of 50 = 12.5   Female students in 2007 = 40% of 65 = 26   Percentage increase = [(26 - 12.5)/12.5] *100 % = 108%   Correct Option: 108%(26 - 12.5)/12.5  *100= 
(26 - 12.5)/12.5  *100 = 108
108%   Correct Option: 108%
Answer: D
Find the odd man out. 4, 6, 8 , 10, 17, 18 Choices
A) 4 B) 6 C) 17 D) 10 E) 18

Solution: All numbers except 17 are multiples of 2   Answer is 17
Answer: C
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems? Choose one.
A) 1029  B) 1020  C) 1023  D) 1098  E) 1012

Solution: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.   Hence, the required number of ways = 45 - 1.   = 210 - 1 = 1024 - 1= 
1024 - 1 = 1_023
1023   Answer:1023
Answer: C
While playing a certain dice game, Chris wins if the sum of the two dice is 11, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?	Choose the correct choice from the following choices:
A) 1/2
B) 17/36
C) 26/165
D) 11/36
E) 25/216

Solution: Probability of winning game = 1- Probability of losing game   Probability of losing game = (Probability of not getting sum 7 in any of the three attempts)   Ways of getting sum 11 = (5,6)(6,5)= 2 ways   Total ways of getting outcome on two dice =6*6= 
6*6 = 36
36   Probability of getting sum as 11 in any attempt=2/36=1/18   Probability of NOT getting sum as 11 in any attempt = 1-(1/18)= 17/18   Probability of losing game =(17/18)*(17/18)*(17/18)=139/165   I.e. Probability of wining game = 1-(139/165) =26/165   Answer : Option 26/165
Answer: C
Michele invests 100 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?	Choose the correct option
A) $0.00	B) $13.300	C) $250.05	D) $1575.00	E) $10000.00

Solution: Suppose she invests n$ in the starting then in the subesequent days the money left after the day will be   n/2, n/4, n/8, n/16, n/32   So, answer will be $13.300
Answer: B
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?	Select.
A) Rs. 300
B) Rs. 400
C) Rs. 500
D) Rs. 600
E) None of these

Solution: Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6   And also given that, profit share of B is Rs. 1500   => 5 parts out of 15 parts is Rs. 1500   Now, required difference is 6 - 4= 
6 - 4 = 2
2 parts   Required difference= 2/5 (1500) = Rs. 600   ANSWER:Rs. 600
Answer: D
You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 6 coins. How many coins do you have at the end?  Choose the correct choice.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: Solution   Start with 11 coins.   Sharon takes 3 coins from you:   11 - 3= 
  11 - 3 = 8
8 coins.   Steven takes 6 coins from you:   8 - 6= 
  8 - 6 = 2
2 coins.   So you have 2 at the end.   Correct answer : 2
Answer: A
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?	Choose the correct choice
A) 10  B) 35  C) 62.5  D) Cannot be determined  E) None of these

Solution: EXPLANATION   Let the capacity of 1 bucket = x.   Then, the capacity of tank = 25x.   New capacity of bucket = 2/5x   Required number of buckets = 25x /(2x/5)   =( 25x x 5/2x)   =125/2= 
125/2 = 125/2 = around 62.5
62.5   Answer 62.5
Answer: C
A man rows down stream 22km and 7 km upstream. if he takes 6 hrs to covereach distance, then the velocity of the current is	Choose the correct answer
A) 0.5kmph
B) 1.25kmph
C) 8.5kmph
D) 6.3kmph
E) 4.9kmph

Solution: Rate down stream=(22/6)kmph;   Rate up stream=(7/6)kmph;   velocity of the current =1/2(22/6-7/6)kmph   =1.25kmph   Answer(1.25kmph)
Answer: B
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Pick
A) 19 sec	B) 37 sec	C) 36 sec	D) 16 sec	E) 11 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 130= 
240 + 130 = 370
370 m.   Time taken= 370/10= 
370/10 = 37
37 sec.   Answer: 37 sec
Answer: B
There are two tanks A & B with same capacity of 20 litres. If the water inflow rate (speed) in Tank A is 2 litres per hour & in Tank B is 4 litres per hour. How much longer tank A takes to fill than Tank B? Choose the correct choice from the following options:
A) 4 hours B) 5 hours C) 3 hours D) 2 hours E) 1 hour

Solution: Time taken for Tank A to fill = 20/2= 
20/2 = 10
10 hours   Time taken for Tank 5 hours to fill= 20/4= 
20/4 = 5
5 hours   So tank A takes 5 more hours to fill   Answer : 5 hours
Answer: B
Three candidates contested an election and received 5136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got  Choose the correct choice from the following answers: A) 55% B) 56% C) 47.6% D) 58% E) 59%

Solution: Explanation:   Total number of votes polled = (5136 + 7636 + 11628)= 
(5136 + 7636 + 11628) = 24_400
24400   So, Required percentage= 11628/24400 * 100 = 47.6%   Answer: Option 47.6%
Answer: C
Max scored 6 marks more than what he did in the previous examination in which he scored 30. Maria scored 30 marks more than she did in the previous examination in which she scored 60. Who showed less improvement?	Pick:  A) 58%  B) 50%  C) 80%  D) 20%  E) 55%

Solution: Max percentage improvement in the first exam = (6/30 × 100) %   = (600/30)= 
(600/30) = 20
20 %   Maria percentage improvement in the first exam= (30/60 × 100) %   = (3000/60)= 
(3000/60) = 50
50 %   Hence, 20 % < 50 %   Therefore, Max showed less improvement.   Answer:50%
Answer: B
Town A	Town B	Town C	Town D	Town E	Town F ; Town A Town B Town C Town D Town E Town F In the table above, what is the least number of table entries that are needed to show the mileage between each Town and each of the other five Towns?	Choose the correct choice from the following
A) 20
B) 22
C) 15
D) 18
E) 25

Solution: Easy way to go about this problem is we have 6*6= 
6*6 = 36
36 enteries in table the least number of enteries would be (36 - 6) /2 since 6 enteries represent the distances between same points .   Alternatively this can be solved as combination problem.   15orrect Answer 15
Answer: C
Find the least number of complete years in which a sum of money put out at 33.3% compound interest will be more than double of itself? Choose the correct choice from the following:
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 3 years   3nswer: 3
Answer: A
In a group of cows and hens, the number of legs are 16 more than twice the number of heads. The number of cows is : Choose the correct choice:
A) 5 B) 6 C) 7 D) 8 E) 12

Solution: Let no of cows be x, no of hens be y.   So heads=x+y   Legs=4x+2y   Now, 4x+2y = 2(x+y)+ 16   2x = 16   x = 8.   ANSWER:8
Answer: D
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
Pick
A) 57 kgs
B) 58 kgs
C) 58.85 kgs
D) 60 kgs
E) 61 kgs

Solution: Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs   Actual average weight is   1177/20= 
  1177/20 = 1_177/20 = around 58.85
58.85 kgs   58.85 kgs)
Answer: C
What is the sum between the place values of three 7's in the numeral 87953.0727
Choose the correct choice from the following answers: A) 21 B) 7000.0707 C) 7777 D) 7014 E) 7000.0077

Solution: Required sum = 7000 + 0.0700 + 0.0007= 
7000 + 0.0700 + 0.0007 = 7_000.0707
7000.0707   Answer is 7000.0707
Answer: B
Vijay sells a cupboard at 16% below cost price. Had he got Rs.1800 more, he would have made a profit of 16%. What is the cost price of the cupboard?  Options.
A) 7450
B) 14900
C) 5625
D) 7500
E) None of these

Solution: Explanation:   5625ost price = 1800/(0.16 + 0.16) = 1800/0.32   = Rs.5625   ANSWER 5625
Answer: C
Howmany words (with or without meaning) of three distinct letters of the English alphabets are there? Choose one.
A) 15500 B) 15800 C) 15700 D) 15400 E) 15600

Solution: Here we have to fill up three places by distinct letters of the English alphabets. This can be done in 26 ways. The second place can be filled in by 25 ways. The third place can be filled in 24 ways. Hence the required number of words is 26x25x24=15600. Ans : 15600
Answer: E
A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 6 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot)	Choose the correct choice from the following answers.
A) 20
B) 33
C) 46
D) 52
E) 59

Solution: There is one post for each length of chain, plus one final post at the end.   The length of the fence in feet is 6.5x + 0.5, where each is the number of chain lengths.   The length of the fence is an integer when x = 1,3,5,7,...   The length of the fence could be 7, 20, 33, 46, 59,...   The answer is 52.
Answer: D
Last year Elaine spent 20% of her annual earnings on rent. This year she earned 35% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
Answers
A) 202.5
B) 194.5
C) 197.5
D) 182.5
E) 177.5

Solution: For this it is easiest to use simple numbers. Let's assume that Elaine's annual earnings last year were $100.   She would've spent $20 of this on rent.   This year she earned 15% more, or $135.   She would've spent 30% of this on rent, or $40.5   Do $40.5/$20   This will give you 202.5%   202.5 is the correct answer.
Answer: A
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly? Choose the correct choice from the following answers.
A) Rs.1652
B) Rs.2569
C) Rs.4587
D) Rs.479
E) Rs.2522

Solution: Rs.2522xplanation:   A = 1600(21/20)3 = Rs.2522   Answer:Rs.2522
Answer: E
If f(x)=x^2 and x is an integer, which of the following CANNOT be the value of f(f(x))?
Pick one:
A) 144  B) 16  C) 81  D) 1  E) 256

Solution: f(x)=x^2   f(f(x)) = (x^2)^2   =x^4   D. 1 , x=1   B. 16 , x=2   C. 81 , x=3   A. 144   f(x)=12   Square root of 12 is not a positive integer . Hence 144 can not be the value of f(f(x)) .   E. 256 , x=4   144nswer 144
Answer: A
What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?  Choose the correct choice from the following answers
A) 70983  B) 43893  C) 43983  D) 43883  E) 43823

Solution: 74330 Largest   30347 Smallest   -------------   43983   ANSWER:43983
Answer: C
A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ? Options
A) 50 B) 54 C) 45 D) 39 E) None

Solution: No. of toys = 100/2= 
100/2 = 50
50   50nswer : 50
Answer: A
HCF of two numbers is 15 and their LCM is 180. If their sum is 105, then the numbers are:	Choose the correct choice from the following choices:  A) 30 and 75  B) 35 and 70  C) 40 and 65  D) 45 and 60  E) 55 and 70

Solution: Explanation:   Let the numbers be 15a and 15b. Then,   15a + 15b = 105 or a+ b = 7 .. (i)   LCM = 15ab = 180   ab = 12..(ii)   Solving equations (i) and (ii), we get a=4, b=3   So, the numbers are 15 ×4 and 15 ×3, i.e., 60 and 45   Answer: 45 and 60
Answer: D
By selling 100 oranges, a fruit-seller gains the selling price of 30 oranges. Find the gain percent?  Select the correct option: A) 49.89% B) 45.36% C) 42.85% D) 48.26% E) 47.23%

Solution: SP = 42.85%P + g   100 SP = 100 42.85%P + 30 SP   70 SP = 100 42.85%P   70 --- 30 42.85%P   100 --- ? => 42.85%   Answer: 42.85%
Answer: C
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 60, how many horses are there ? Pick: A) 10 B) 12 C) 14 D) 16 E) 18

Solution: legs 12*4= 
12*4 = 48
48   now half on their horses so remaining on the walk so 6 men   6 men has 12 legs   so, 12+ 48= 60 legs walking   ANSWER:12
Answer: B
In how many ways can 6 apples (identical) be distributed among 4 children? (Some children may get no apples.)
Choose the correct choice from the following answers
A) 84
B) 54
C) 94
D) 104
E) 74

Solution: Generalised form for n = number of identical objects, and r = number of children is n+r-1Cr-1.   n=6 r= 4   9C3 =84   84nswer : 84
Answer: A
A clock is started at noon. By 10 minutes past 8, the hour hand has turned through how many degrees?	Choose the most appropriate option.
A) 235Â°  B) 240Â°  C) 245Â°  D) 250Â°  E) 255Â°

Solution: The angle traced by the hour hand in 12 hrs is 360Â°   The angle traced by the hour hand in 1 hour is 30Â°   The angle traced by the hour hand in 10 minutes is 5Â°   The angle traced by the hour hand in 8 hours and 10 minutes is 8*30Â° + 5Â° = 245Â°   The answer is 245Â°.
Answer: C
A circular well with a diameter of 2 metres , is dug to a depth of 10 metres. What is the volume of the earth dug out?  Pick:  A) 32 m3  B) 31.4 m3  C) 40 m3  D) 44 m3  E) None

Solution: Solution   Volume	= πr2h   ‹=› (22 /7 ×1×1×10)m3   ‹=›31.4 m3.   Answer 31.4 m3
Answer: B
Two cars are traveling towards each other. If car A is traveling at a speed of 60 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
Choose the correct answer:
A) Six hours and 30 minutes.
B) Seven hours and 30 minutes.
C) Eight hours and 20 minutes.
D) Nine hours and 15 minutes.
E) Ten hours and 20 minutes.

Solution: Speed of second train= 60*88/100= 
60*88/100 = 264/5 = around 52.8
52.8   Time= toral distance /total speed   705/ (50+52.8)= 705/102.8= 6.___   Six hours and 30 minutes. is the answer
Answer: A
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 18
III. P is a multiple of 29
Pick one:  A) I only  B) II only  C) III only  D) None of the above  E) All of the above

Solution: Answer = II only) II only
Answer: B
If the sum of 10 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 3	Select the correct option:
A) I only  B) II only  C) III only  D) I and III  E) II and III

Solution: sum of 3 consecutive integers   = (n) + (n+1) + (n+2) ++ (n+3) + (n+4) + (n+5)+(n+6)+(n+7)+(n+8)+(n+9)   =10n+45   = even + odd = odd   = 5(2n+9) = divisible by 5   Hence, x is even and divisible by 5.   Answer: I and III
Answer: D
which of the following could be the greatest common factor of positive integers 4 and 5 ? I) 8 II) 4 III) None of these Choose the correct option.
A) III only	B) II only	C) I,II only	D) I only	E) I,III only

Solution: 4=1*4   5=1*5   GCF =1   III onlynswer : III only
Answer: A
What profit/loss percent did Ravi earn if he purchased an item of Rs.5,600 and sold it at three-fourth of its cost price?
Select the correct option
A) Loss of 20 percent
B) Gain of 25 percent
C) Neither gain or loss
D) Loss of 15 percent
E) None of these

Solution: Explanation:   C.P. = Rs.5600   S.P. = Rs.5600x ¾ = Rs.4200   Loss = Rs.5600-4200 = Rs.1400   Loss percentage = 1400x100/5600 = 25%   Answer: Option Gain of 25 percent
Answer: B
Given 2 numbers; 16 and x, the LCM and HCF of both numbers is 144 and 2 respectively. Find x?
Answers
A) 16 B) 28 C) 15 D) 13 E) 18

Solution: HCF x LCM = Product of Numbers   2 x 144 = 16 x x   x = (2 x 144) / 16   x = 18   ANSW18R : 18
Answer: E
A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was:  Options:
A) 64  B) 72  C) 80  D) 85  E) None of the above

Solution: Let the number of wickets taken till the last match be x.   Then,   12.4x+26/x+5= 12 ⇒ 12.4x + 26 = 12x + 60   ⇒ 0.4x = 34 ⇒ x = 34⁄0.4 = 340⁄4 = 85.   Answer 85
Answer: D
A man buys an article for $20. and sells it for $35. Find the gain percent?  Pick.
A) 25%  B) 50%  C) 20%  D) 75%  E) 30%

Solution: C.P. = $20   S.P. = $35   Gain = $15   Gain% = 15/20 *100= 
15/20 *100 = 75
75%   Answer is 75%
Answer: D
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?	Answers:
A) 12 min	B) 17 min	C) 19 min	D) 11 min	E) 16 min

Solution: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.   Relative speed of A and B   = 6 - 1= 
6 - 1 = 5
5 rounds per hour.   Time taken to complete one round at this speed= 1/5 hr   = 12 min.   12 minnswer: 12 min
Answer: A
When x is divided by y, the quotient is t with remainder r. Which of the following is y in terms of r, x, and t? (Assume both y and t are nonzero.) Pick one.
A) x – r – t	B) (x+r)/t	C) x/t−r	D) (x−r)/t	E) xr – t

Solution: Given that when x is divided y, the quotient is t and remainder is r. This implies x-r is divisible by y and yt=(x-r) or y = (x-r)/t.   Answer (x−r)/t.
Answer: D