MU-NLPC/Calc-aqua_rat huggingface dataset:
A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $495. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?	Choose the most appropriate option:
A) $315 B) $245 C) $365 D) $715 E) $730

Solution: Total weekly income over 5 weeks=$406+$413+$420+$436+$495=$2170   For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks406+ 413+ 420+ 436+ 495= 
406+ 413+ 420+ 436+ 495 = 2_170
$2170   For avg weekly income to be $500 over 7 weeks, we need total weekly income over 7 weeks=$3500   Now, $3500-$2170=$1330   From this, we subtract base salary for 2 weeks i.e $350*2= 
350*2 = 700
$700   Therefore, commission=$1330-$700=$730 for 2 weeks   $315vg weekly commission=$315   $315nswer $315
Answer: A
Tanks P and B are each in the shape of a right circular cylinder. The interior of tank P has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank P is what percent of the capacity of tank B?	Choose the correct choice from the following answers:
A) 75%  B) 80%  C) 100%  D) 120%  E) 125%

Solution: B.   For P, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi   For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi   P/80% = 160pi/200pi = 0.8160  /200= 
160  /200 = 4/5 = around 0.8
0.8
Answer: B
In how many different ways can the letters of the word 'HEALTH' be arranged?
Choose the most appropriate option.
A) 10 ways B) 20 ways C) 30 ways D) 60 ways E) 360 ways

Solution: Totally there are 6 letters on the word HEALTH. it contains 2H,1E,1A,1L,1T.   The no of ways is 6!/2!=360 ways.   ANSW360 waysR:360 ways
Answer: E
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?	Choose the correct choice:
A) 91.5 cm B) 91.8 cm C) 99.5 cm D) 91.6 cm E) 91.3 cm

Solution: Perimeter of the sector   = length of the arc + 2(radius)   = (135/360 * 2 * 22/7 * 21) + 2(21)   = 49.5 + 42= 
49.5 + 42 = 91.5
91.5 cm   91.5 cmnswer: 91.5 cm
Answer: A
Chris wants to pay back his debt to the bank. He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt, so now he only needs an additional $105 in order to pay off the debt. What was the initial amount of the debt Chris owed to the bank?
Choose the correct choice from the following:
A) $1,500
B) $2,000
C) $2,500
D) $3,000
E) None

Solution: $1,500nswer   Chris already has both 60% and 33% of the debt:   =60%+ 33% = 93%   The remaining amount that he will need to pay is equal to:   60 + 33= 
60 + 33 = 93
93%   The remaining amount that he will need to pay is equal to:=100%-93%=7%   We know that this additional amount is $105; this allows us to find the initial total amount of his debt:   7%100 -93= 
100 -93 = 7
7%   We know that this additional amount is $105; this allows us to find the initial total amount of his debt:   7%=$105   $105/7=$105/0.07= $1,500   answer is $1,500.
Answer: A
The length of a rectangular garden is 2 feet longer than 3 times its width. If the perimeter of the garden is 100 feet, find the length of the garden.  Pick:  A) 42  B) 38  C) 28  D) 57  E) 49

Solution: Let L and W be the length and width of the garden. The statement "the length of a rectangular garden is 2 feet longer than 3 times its width" may be formulated by   L = 2 + 3 W   The formula for the perimeter is given by   P = 2 L + 2 W   Substitute P and L in the above equation by 100 and 2 + 3 W respectively to obtain   100 = 2(2 + 3 W) + 2 W   Solve for W and L   W = 12 and L = 2 + 3 W = 38.   Check that the perimeter of the rectangular garden is 100   P = 2 L + 2 W = 76 + 24= 
76 + 24 = 100
100   correct answer 38
Answer: B
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
Choose the most appropriate option:
A) 4/9  B) 2 4/9  C) 3 4/9  D) 4 4/9  E) None of these

Solution: Explanation:   In this type of questions, first we need to calculate 1 hours work, then their collective work as,   A's 1 hour work is 1/8   B's 1 hour work is 1/10   (A+B)'s 1 hour work = 1/8 + 1/10   = 9/40   So both will finish the work in 40/9 hours   =   4 4/9   Option 4 4/9
Answer: D
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
Choose the most appropriate option.
A) 7
B) 9
C) 18
D) 11
E) 10

Solution: Explanation:   Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 47   ⇒ 5x = 45   ⇒ x = 9.   Hence, B's age = 2x = 18 years.   Answer: 18
Answer: C
Train T leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other? Choose the correct answer
A) 8:15 am	B) 8:45 am	C) 9:00 am	D) 9:30 am	E) Cannot be determined from the information given

Solution: train T will cover 60 kms in 45 min at 7:45, the time when train B starts...   distance left to cover is 210-60=150..   combined speed=80+70=150..   so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45   8:45 am
Answer: B
How many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph?
Choose the correct answer
A) 17 sec  B) 21 sec  C) 23.3 sec  D) 27.5 sec  E) 29 sec

Solution: D = 150 + 200= 
150 + 200 = 350
350   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 350/15 = 23.3 sec   23.3 sec) 23.3 sec
Answer: C
Amit and Ravi invested capitals in the ratio 5:4. At the end of 8 months Amit withdrew and they got equal profits. Find for how long Ravi invested his money?
Pick one
A) 11 months B) 6 months C) 10 months D) 12 months E) None

Solution: 8:5=4:x   That is 8*5=4*x   2*5=x   X=10 months   ANSWER:10 months
Answer: C
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 26 miles, how many miles was Mike's ride?	Choose the correct choice from the following options:
A) 20
B) 30
C) 36
D) 46
E) 54

Solution: The cost of Annie's ride was 2.5+5+(0.25*26)= 
2.5+5+(0.25*26) = 14
$14   Let x be the distance of Mike's ride.   The cost of Mike's ride is 2.5+(0.25*x)= 14   0.25*x = 11.5   x = 46 miles   The answer is 46.
Answer: D
Evaluate: 10111 - 10*2*5 = ? Options
A) 10101  B) 10110  C) 11100  D) 11001  E) 11011

Solution: 10101ccording to order of operations, 10?2?5 (division and multiplication) is done first from left to right   10/2= 
10/2 = 5
5* 2= 
5* 2 = 10
10   Hence   10111 - 10*2*5= 10111 - 10= 
10111 - 10 = 10_101
10101   correct answer 10101
Answer: A
Two pipes can fill a tank in 18 minutes and 30 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Select:
A) 1/15  B) 1/16  C) 1/11  D) 1/10  E) 1/12

Solution: Part of the filled by all the three pipes in one minute   = 1/18 + 1/30 - 1/45 = 1/15   So, the tank becomes full in 15 minutes.   1/15nswer:1/15
Answer: A
Two men can fill the tank in 5hr and 4hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the tank will be filled in
Choose the correct choice from the following choices:	A) 2	B) 2.5	C) 3	D) 3.5	E) 3.7

Solution: Work done by all the men working together in 1 hour.   1/5+1/4−1/20=8/20   Hence, tank will be filled in 20/8= 
20/8 = 5/2 = around 2.5
2.5 hour   2.5
Answer: B
If z is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
Pick one:  A) 1  B) 2  C) 3  D) 6  E) 12

Solution: Then the wordings of question are misleading. Moreover, it'd also be a bad way to convey z=4n, if it really wanted to convey so.   From other questions that I have seen, proper wordings could be:   If z is three times as large as n   OR simply,   If z is three times n.3
Answer: C
3/5 of all married couples have more than one child. 1/2 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
Options
A) 1/5  B) 1/10  C) 7/20  D) 3/5  E) It cannot be determined from the given information.

Solution: Plug in simple numbers. Take 100 couples for example.   3/5 of 100 couples have more than one child = 60 couples.   1/2 of 100 couples have more than 3 kids = 50 couples.   This implies that 50 couples are a subset of 60 couples and the complement of 60 couples within those 100 couples, which equals 40 couples have either one or no kids at all.   We need to find couples that have 2 or 3 kids, so essentially, it is  60 - 50= 
 60 - 50 = 10
10. Fraction will be 10/100= 1/10.   Option 1/10
Answer: B
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is Choices: A) 720 B) 180 C) 75 D) 65 E) 60

Solution: Explanation:   The hour hand moves from pointing to 12 to pointing to half way between 2 and 3. The angle covered between each hour marking on the clock is  360/12= 
 360/12 = 30
30. Since the hand has covered 2.5 of these divisions the angle moved through is 75.   ANSWER IS 75
Answer: C
An electric motor makes 4,800 revolutions per minutes. How many degrees does it rotate in one second? Choose the correct choice from the following answers:  A) 18.000 d/sec  B) 28.800 d/sec  C) 38.000 d/sec  D) 26.000 d/sec  E) 35.000 d/sec

Solution: 4800 revolutions / minute   = 4800*360 degrees / 60 seconds   = 28,800 degrees / second   28.800 d/sec
Answer: B
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?  Choices:
A) 0 Remainder  B) 1 Remainder  C) 2 Remainder  D) 4 Remainder  E) 5 Remainder

Solution: EXPLANATION   Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.   x = 5k + 3   x2 = (5k + 3)2   = (25k2 + 30k + 9)   = 5(5k2 + 6k + 1) + 4   On dividing x2 by 5, we get 4 as remainder.   Remainder = 4   Answer 4 Remainder
Answer: D
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8men and 10 women? Pick one:
A) 10000  B) 11760  C) 12450  D) 12666  E) 13250

Solution: Required number of ways = 8C5 * 10C6   = 8C3 * 10C4   = (8*7*6/3*2*1)*(10*9*8*7/4*3*2*1)   = 11760   Answer is 11760
Answer: B
Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are Julia Robards, Merly Strep, Sally Fieldstone, Lauren Bake-all, and Hallie Strawberry. Assuming that no actresses has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
Pick:
A) 3/10	B) 3/125	C) 6/10	D) 3/5	E) 1/125

Solution: Pick Hallie and Julia. Now you can pick the third actress in 3 ways so total number of ways of picking 3 actresses (including Hallie and Julia) = 3   Total number of ways of picking any 3 actresses out of 5 = 5*4*3/3! = 10   Probability that both Hallie and Julia will be picked = 3/10   3/10ns:3/10
Answer: A
In the faculty of Reverse-Engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?  Choose one.
A) 515.  B) 545.  C) 661.  D) 644.  E) 666.

Solution: Answer is C :661   Solution : Total number of students studying both are 423 + 240 - 134= 
423 + 240 - 134 = 529
529 (Subtracting the 134 since they were included in the both the other numbers already).   So 80% of total is 529, so 100% is approx. 661.
Answer: C
In 1990 the budgets for projects Q and V were $700,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?  Choose the correct choice from the following answers.
A) 1992  B) 1993  C) 1994  D) 1995  E) 1996

Solution: Let the no of years it takes is x.   700+30x = 780-10x --> 40x = 80 and x=2.   Thus, it happens in 1992.   1992.
Answer: A
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/36, what is the probability that the next one she draws will be pink? Choose the correct answer.
A) 1/6 B) 4/7 C) 3/7 D) 16/49 E) 40/49

Solution: The probability of drawing a pink gumball both times is the same. The probability that she drew two blue gumballs = 25/36 = (5/6) * (5/6)   Therefore probability that the next one she draws is pink =1/6   Option (1/6)
Answer: A
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?  Select
A) 720  B) 790  C) 800  D) 820  E) 840

Solution: Option '720'
Answer: A
Given the two equations 7r + 2s = 43 and 4r - 3s = 8, by how much does r exceed s?	Choose the correct choice:
A) 3
B) 1
C) 5
D) 6
E) 7

Solution: Solve by Simultaneous Equations.   My Answer is B.   r=5   s=4
Answer: B
If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?  Choose the most appropriate option:	A) 87 kg	B) 67 kg	C) 72 kg	D) 87 kg	E) 46 kg

Solution: (3 * 4)/48 = (9 * 2)/ x   x = 72 kg   Answer: 72 kg
Answer: C
Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?  Choices:  A) 22  B) 98  C) 48  D) 88  E) 12

Solution: Let the speed of the slower train be x m/sec.   Then, speed of the train = 2x m/sec.   Relative speed = ( x + 2x) = 3x m/sec.   (100 + 100)/10 = 3x => x = 20/3.   So, speed of the faster train = 40/3 = 40/3 * 18/5= 
40/3 * 18/5 = 48
48 km/hr.   Answer:48
Answer: C
What is the simplified result of following the steps below in order?
(1)	add 5y to 2v
(2)	multiply the sum by 3
(3)	subtract v + y from the product Choose the correct option.
A) 5v + 14y	B) 5x + 16y	C) 5x + 5y	D) 6x + 4y	E) 3x + 12y

Solution: 3(5Y+2V) -V-Y= 14Y+5V   '5v + 14y' is the answer
Answer: A
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey? Choose the correct choice from the following answers.
A) 288  B) 390  C) 287  D) 266  E) 161

Solution: The total distance covered by the car in the first 10 hours   = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48   = sum of 10 terms in AP whose first term is 30 and last term is 48 = 10/2 [30 + 48]   = 390 km.   Answer: 390
Answer: B
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,700 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees? Choose the correct choice from the following answers
A) 38,000 B) 40,000 C) 42,500 D) 45,700 E) 48,500

Solution: Median is just the value in the middle when you arrange all values in the ascending order   In this question, the 7th value would be the median (Since there are 13 employees)   38, 40, 40, 40, 42.5, 42.5,45.7   So, answer is 45,700.
Answer: D
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is: Choose the correct choice
A) 7.5%
B) 8%
C) 9.7%
D) 8.7%
E) None of these

Solution: Income of Rs 128 on Investment of Rs 1552   Income of Rs ? on Investment of Rs 96   =(96*128)/1522=8%   ANSWER:8%
Answer: B
In 1995, the Johns spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johns cut back their water usage. By how much must the Johns have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
Select the correct option
A) a)	33 1/3 % B) b)	40 % C) c) 50 % D) d)	66 2/3 % E) e)	100 %

Solution: Let x be the water usage and c be the cost water of Jhons   We have   xc =800, c=800/x   Y(1.5c)=800 where Y is the water usage in 1996   Y= 800/ (1.5*800/x)= 1/1.5x=2/3x   Thus reduction will be x-2/3x=1/3x=a)	33 1/3 %
Answer: A
If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio V of the resistors’ sum of A and C to the resistors’ sum of A and B?
Choose the correct choice from the following choices: A) 2(R1+R2):(R1+2R2) B) (R1+R2):(R1+2R2) C) (2R1+R2):(R1+2R2) D) 2(R1+R2):(2R1+R2) E) 2(R1-R2):(R1+2R2)

Solution: two resistors A (r1) and B (r2).   total or sum of two resistors appear as   r1r2/r1+r2. It is looks like inversion of sum of rates.   1/r1+1/r2= r1+r2/r1r2.   same way sum of A(r1) and c(2r2)=1/r1+1/2r2   =2r2+r1/r12r2.   inversion rate = r12r2/2r2+r1.   ratio V of sum of a and c/sum of a and b=2r2r1/2r2+r1*r1+r2/r1r2   =2(r1+r2)/2r2+r1.2(R1+R2):(R1+2R2)
Answer: A
How many seconds will a 220 metre long train take to cross a man running with a speed of 8 km/hr in the direction of the moving train if the speed of the train is 80 km/hr? Choose the correct answer:
A) 25 B) 30 C) 40 D) 11 E) 60

Solution: Explanation :   Speed of train relatively to man = ( 80 - 8)km/hr   = 72 km /hr   = (72 x 5 / 18)m/sec   = 20 m/sec   Time taken to pass the man = (220 / 20)= 
(220 / 20) = 11
11 sec.   Answer : 11
Answer: D
4 bells first begin to toll together with an intervals of 5, 10, 15 & 20 sec. How many times does they toll together in an hr?  Select
A) 40	B) 60	C) 80	D) 90	E) 110

Solution: 5|5, 10, 15, 20   2|1, 2, 3, 4   |1, 1, 3, 2   L.C.M of 5, 10, 15, 20 is 60   60 times   60
Answer: B
A man rides at the rate of 30km/hr. But stops 30minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 150 kilometers? Choices
A) 5hr
B) 7hr 30min
C) 8hr 10min
D) 7hr 20min
E) 9hr

Solution: speed of man = 30km/hr   number of rests = (150/25)-1= 
(150/25)-1 = 5
5   time taken for the man= (150/30)+5*(30/60) = 7 hr 30 min   Answer is 7hr 30min
Answer: B
a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ? Choose the most appropriate option.
A) 6.1	B) 6.3	C) 7.2	D) 8.2	E) 9.2

Solution: for perimeter of all hexagon =6*(3+8+13+...........20th term.)   sum will be 6060 mm   and for length of one diagonal find 20th term=98   so total length =6060+294= 
6060+294 = 6_354
6354 mm=6.354 m   ANSWER:6.3
Answer: B
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 15 persons, working 6 hours a day, complete the work?
Pick one.
A) 10  B) 13  C) 14  D) 26  E) 16

Solution: Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons	15	:	39	:: 12 : x   Working hours/day	6	:	5   15 x 6 x x = 39 x 5 x 12   x =	(39 x 5 x 12)/(15 x 6)   x = 26.   ANSWER:26
Answer: D
A man can row upstream at 5 kmph and downstream at 25kmph, and then find the speed of the man in still water?
Choose the correct choice from the following
A) 15  B) 77  C) 30  D) 88  E) 34

Solution: US = 5   DS = 25   M = (5 + 25)/2= 
(5 + 25)/2 = 15
15   15nswer:15
Answer: A
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent W of all the possible subcommittees that include Michael also include Anthony?  Choose the correct choice from the following answers:
A) 20% B) 30% C) 40% D) 50% E) 60%

Solution: The answer is C. Let's look at a committee where Mike belongs (he's person # 1) on that committee. When we choose person #2, there is a 1/5 probability that it's going to be Anthony (then it doesn't matter who the third person is), and 4/5 probability that it's going to be someone else (then person #3 is going to be Anthony with probability 1/4). Total probability W= 1/5+4/5*1/4 = 2/5.40%
Answer: C
Right triangle PQR is the base of the prism in the figure above. If PQ=PR=âˆš5 and the height of the prism is 10, what is the volume of the prism?  Pick one:
A) 5	B) 10	C) 15	D) 20	E) 25

Solution: Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25   Answer: 25
Answer: E
The height of the wall is 6 times its width and length of the wall is 8 times its height .if the volume of the wall be 36000 cu.m.its width is
Choose the correct choice from the following choices:
A) 4m
B) 5m
C) 6m
D) 7m
E) 8m

Solution: Explanation:   Let width = x   Then, height=6x and length=48x   48x Ã— 6x Ã— x = 36000   x = 5   Answer: 5m
Answer: B
A cricket bat is sold for $900, making a profit of $150. The profit percentage would be  Answers
A) 24%	B) 20%	C) 30%	D) 36%	E) 40%

Solution: 150/(900 - 150) = 150/750= 
150/750 = 1/5 = around 0.2
0.2= 20%.   Answer: 20%
Answer: B
The average weight of a group of boys is 20 kg. After a boy of weight 32 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Choose the correct choice from the following answers:
A) 12
B) 11
C) 18
D) 24
E) 10

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 20x   After the boy weighing 32 kg joins the group, total weight of boys = 20x + 32   So 20x + 32 = 21(x + 1) = > x = 11.   ANSWER:11
Answer: B
A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Select:
A) 33 4/3 %	B) 33 1/7 %	C) 40 %	D) 32 1/3 %	E) 50 %

Solution: The total number of mangoes bought by the shopkeeper be 15.   If he buys 5 a rupee, his 40 %P = 3   He selling at 3 a rupee, his SP = 5   Profit = SP - 40 %P = 5 - 3= 
5 - 3 = 2
2   Profit Percent= 2/5 * 100= 
2/5 * 100 = 40
40 %   Answer:40 %
Answer: C
The cost of10 kgs. of sugar is Rs.300. What is the cost of .200kgs. of sugar?
Choose one
A) Rs.3	B) Rs.50	C) Rs.5	D) Rs.6	E) Rs.60

Solution: Explanation:   The cost of .200 kgs. of sugar = 300x .200/10 = Rs.6   Answer: Option Rs.6
Answer: D
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ? Choices
A) 5 days B) 6 days C) 7 days D) 8 days E) 9 days

Solution: Explanation:   Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,   So,   A's 1 day work = 1/10   B's 1 day work = 1/15   (A+B)'s 1 day work =   (1/10+1/15)=(3+2/30)=1/6   So together they can complete work in 6 days.   Option 6 days
Answer: B
A man can hit the target once in four shots. If he fires two shots in succession, what is the probability that he will hit the target? Choose one:
A) 7/16
B) 1/256
C) 81/256
D) 175/256
E) 185/256

Solution: In two shots he can hit once,all hit   the probability of hitting the target is p(1hit out of 2+ p(7/16ll hit)   it is total probability-probability of not hitting the target   =>1-(3/4*3/4)   =>7/16   7/16NSWER:7/16
Answer: A
12 times a positive integer is more than its square by 36, then the positive integer is  Pick
A) 6  B) 10  C) 11  D) 12  E) 14

Solution: Explanation:   Let the number be x. Then,   12x = x2 + 36   => x2 - 12x + 36 = 0   =>(x - 6)(x - 6) = 0   => x = 6   6nswer: 6
Answer: A
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?  Choose the correct choice.
A) 2	B) 9	C) 8	D) 7	E) 5

Solution: x/18 + 12/24 = 1   x = 9   Answer: 9
Answer: B