MU-NLPC/Calc-aqua_rat huggingface dataset:
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections W of the 4 items can Amanda make? Choose the correct choice from the following answers.
A) 9 B) 12 C) 14 D) 15 E) 60

Solution: Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?   3! / 1!2! * 6! / 3!3!   W=3*20= 
3*20 = 60
60   E. 60
Answer: E
In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?  Choose the correct choice from the following options
A) 19
B) 41
C) 21
D) 57
E) 26

Solution: Answer   We need to find out the number of students who took at least one of the three subjects and subtract that number from the overall 120 to get the number of students who did not opt for any of the three subjects.   Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.   Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)   A is the set of those who opted for Physics = 120/2= 
120/2 = 60
60 students   B is the set of those who opted for Chemistry= 120/5= 
120/5 = 24
24   C is the set of those who opted for Math= 120/7 = 17.   The 10th, 20th, 30th..... numbered students would have opted for both Physics and Chemistry.   Therefore, A n B = 120/10= 
120/10 = 12
12   The 14th, 28th, 42nd..... Numbered students would have opted for Physics and Math.   Therefore, C n A= 120/14 = 8   The 35th, 70th.... numbered students would have opted for Chemistry and Math.   Therefore, B n C = 120/35 = 3   And the 70th numbered student would have opted for all three subjects.   Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1= 
60 + 24 + 17 - (12 + 8 + 3) + 1 = 79
79.   Number of students who opted for none of the three subjects= 120 - 79= 
120 - 79 = 41
41.   choice is (41)
Answer: B
1+1
Choose the correct option:  A) 9  B) 8  C) 3  D) 0  E) 2

Solution: 2
Answer: E
Walking at 5/6 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey.	Pick:
A) 50 min
B) 20 min
C) 1 hour
D) 30 min
E) 45 min

Solution: new speed = 5/6 of the usual speed   new time taken = 6/5 of the usual time taken   so, ( 6/5 of the usual time ) - ( usual time ) = 10min   1/5 of the usual time = 10min   usual time = 10*5= 
10*5 = 50
50 min   correct option is 50 min
Answer: A
A can do a work in 16 days. A and B can do it in 8 days. How many days can B alone can do the work?
Choose the correct choice.
A) 1/16
B) 32
C) 16
D) 8
E) 1/8

Solution: Ans is:C   A's 1 day's work =1/16   (A + B)'s 1 day's work =1/8   B's 1 day's work =1/8-1/16=1/16   Therefore whole work can be done by B in 16 days. Ans:16
Answer: C
The cost of a one-family home was $ 120,000 in 1980. In 1988, the price had increased to $ 168,000. What was the percent increase in the cost of the home?  Pick one
A) 60%
B) 50%
C) 55%
D) 40%
E) 33.3%

Solution: Increase = 168000-120000= 
168000-120000 = 48_000
48000   % increase= 48000*100/120000= 
48000*100/120000 = 40
40%   Answer: option 40%
Answer: D
A group of tourists wants to visit only three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.	Choose the correct choice from the following choices.
A) 18	B) 24	C) 28	D) 32	E) 36

Solution: The number of ways to choose three cities is 4C3=4.   The number of itineraries for each group of 3 cities is 3!.   So the number of itineraries to three cities is 4*3!=24.   The answer is 24.
Answer: B
Forty ladies and fifty gentlemen are present at a party. There are 30 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?  Choose the correct choice.
A) 3/200 B) 1/100 C) 1/50 D) 1/40 E) 1/20

Solution: In how many ways we can select a woman and a man from 40 women and 50 men? In 40*50 = 2,000 ways.   We have a total of 30 couples so, the probability of selecting a couple is 30/2,000 = 3/200.   3/200ns- 3/200
Answer: A
Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?
Pick one:	A) 221	B) 222	C) 223	D) 224	E) 225

Solution: In   Base 5   1 (1), 2(2) , 4(4) , 13(8) , 31(16) , 112(32) ,224(64)   ANSWER:224
Answer: D
How many 2 digit numbers that do not contain the digit 2 are there? Pick
A) 72 B) 68 C) 84 D) 96 E) 124

Solution: Applying combinations....8 * 9 = 72...   8 for first digit...cant be 0 or 2   9 for 2nd ....cant be 2   72NSWER: 72
Answer: A
In traveling from a dormitory to a certain city, a student went 1/2 of the way by foot, 1/4 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?	Choose the correct choice: A) 35 B) 24 C) 14 D) 24 E) 12

Solution: Whole trip = distance by foot + distance by bus + distance by car   x = 1/2x + 1/4x + 6   x - 1/2x - 1/4x = 6   x = 24km   Option: 24
Answer: D
Find remainder if (67^67 +67) is divided by 68 Choose the correct choice from the following:  A) 60  B) 62  C) 66  D) 72  E) 78

Solution: => (6767 + 1) is divisible by (67 + 1)   => (6767 + 1) is divisible by 68   => (6767+1) ÷ 68 gives a remainder of 0   => [(6767+1) + 66] ÷ 68 gives a remainder of 66   => (6767 + 67) ÷ 68 gives a remainder of 66   66
Answer: C
in a soccer bet,we play 4 teams.first team odd 1.26,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win? Select:
A) 219.5 B) 225.5 C) 235.01 D) 266.74 E) 669.0

Solution: in the case we won the bet,we have:   1.26* 5.23* 3.25* 2.0*5.00=219.50   we will win 219.50   so correct answer is 219.5)219.50
Answer: A
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when a boy gets any no. of prizes? Choose the correct choice:
A) 216  B) 218  C) 230  D) 340  E) 453

Solution: Ans.(A)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 6 ways, i.e. (6 x 6 x 6) ways = 63 ways = 216 ways Or nr ways = 63 ways = 216 ways
Answer: A
Pavel has to visit his aunt, who lives exactly eight blocks north and six blocks east of his current location. If Pavel travels only along streets and does not travel diagonally, the shortest possible route connecting the two points is exactly 14 blocks. How many different 14-block routes may Pavel take to travel the shortest possible distance to his aunt’s house?
Select:  A) 14  B) (14!)/(8!6!)  C) (22!)/(14!8!)  D) 8!6!  E) 14!8!6!

Solution: for simplification, you can draw a box/rectangle with eight vertical and 6 horizontal lines...   the Q asks u how can u travel from one vertex to opposite vertex along these lines..   And the shortest route will consist of 8 vertical and 6 horizontal moves..   so total ways are 14! out of which 8 are one kind and 6 of the other...   ways= 14!/(8!6!)   ANSWER:(14!)/(8!6!)
Answer: B
if a four-digit number is selected at random from the integers 1000 to 9999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle two same digit?	Select the correct option: A) 1:900 B) 7:900 C) 7:9000 D) 1:100 E) 7:100

Solution: You are asked about all 3 digit numbers that conform to the follow type: ABA , where A= B-2.   There are 900 numbers between 100 and 999 (inclusive).   Numbers of the form A7:900A are: 1331, 2442,3553,4664,5775,6886,7997 = total 7   Thus the probability asked = 7/9000   7:900 is the correct answer.
Answer: B
There are twenty players on a rugby team. If the average weight of the players is 180 pounds, what will be the new average height if a 210 pound player will join the team? Choose the correct choice from the following answers.
A) 185
B) 183.22
C) 184.96
D) 181.43
E) 182.78

Solution: (sum of the 20 weights)/20 = 180   sum of the 20 weights = 3600   new sum = 3600 + 210= 
3600 + 210 = 3_810
3810   new average= 3810/21 = 181.43   ans: 181.43
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choose the correct choice from the following answers:
A) 1235
B) 1346
C) 1378
D) 1635
E) 1489

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: D
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?  Choose the most appropriate option
A) 1	B) 1/40	C) 40	D) 80	E) 1/80

Solution: Assume that in x days, one cow will eat one bag of husk.   More cows, less days (Indirect proportion)   More bags, more days (direct proportion)   Hence we can write as   40owsBags40:11:40⎫⎭⎬::x:40   ⇒40×1×40=1×40×x   ⇒x=40   ANSWER:40
Answer: C
The number of diagonals of a polygon of n sides is given by the formula c=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?	Pick one
A) 3
B) 5
C) 6
D) 7
E) 8

Solution: c=n(n-3)   c=2*n   2n=n(n-3)   =>2=n-3   =>n=5   Answer 5
Answer: B
A policeman noticed a criminal from a distance of 240 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ? Choose the most appropriate option.
A) 100 m	B) 120 m	C) 190 m	D) 150 m	E) None of these

Solution: Explanation :   Solution: Relative speed = (9 - 8)= 
(9 - 8) = 1
1 km/hr.   Distance covered in 3 minutes= (1 * 3/60) km = 1/20 km = 50 m.   .'. Distance between the criminal and policeman = (240 - 50)= 
(240 - 50) = 190
190 m.   Answer : 190 m
Answer: C
Ramya sells an article at three- fourth of its list price and makes a loss of 10%. Find the profit percentage if she sells at the list price.
Choose the correct choice from the following choices.
A) 20%  B) 25%  C) 15%  D) 35%  E) None of these

Solution: Let the list price be x,   S.P =3/4X, S.P = (100 – loss%) /100*C.P = 0.9 C.P   3/4x =0.9C.P, C.P =3X/3.6   If S.P = X, Profit % = (x- 3x/3.6 ) / ( 3x/3.6 ) *100= 60/3= 
60/3 = 20
20%   20%NSWER:20%
Answer: A
A car drives 60 miles on local roads at 30 mph, and 65 miles on the highway at 65 mph, what is the average speed of the entire trip?  Choose the correct choice from the following
A) 36 mph	B) 40 mph	C) 44 mph	D) 42 mph	E) 58 mph

Solution: So The Answer is Plainly D....   we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)   for first part we have d=60 miles , and v= 30 mph so we can obtain time : 30*t = 60 Or t= 60/30= 
60/30 = 2
2 hours the needed time to cover 60 miles   in the same way we should divide 65 by 65 to find the needed time to cover 65 miles ,so t= 1 hours   so the total time for covering total distance would be  2+1= 
 2+1 = 3
3 hours and total distance is   60+65= 
  60+65 = 125
125 miles   Final stage : average speed is total distance divide to total time : 125/3= 41.6 miles per hour that rounds up to 42....
Answer: D
A certain no. when divided by 110 leaves a remainder 25, what is the remainder if the same no.be divided by 15?  Choose the correct choice from the following:
A) 2
B) 4
C) 7
D) 8
E) 9

Solution: 9xplanation:     110 + 25= 
  110 + 25 = 135
135/15= 
135/15 = 9
9 (Remainder)   9
Answer: E
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 3 Years? Pick
A) 5%
B) 6.6%
C) 9%
D) 2%
E) 4%

Solution: 160 = (800*3*R)/100   R = 6.6%   Answer: 6.6%
Answer: B
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? Choose the correct choice from the following answers
A) 9X/80 B) 13X/20 C) 80/9X D) 10X/1 E) 80X/9

Solution: IMT = 0.25T   JI = 0.40 IMT   0.40 IMT = $x b   IMT = $x/(0.40) b   T = 4*IMT = 4x/0.40 = 4x*100/40 = 10x/1   Ans: "10X/1"4 *100/40= 
4 *100/40 = 10
10x/1   Ans: "10X/1"
Answer: D
What is the probability that Company R's advertisement will be one of the first two be shown during the first commercial break?	Choose the correct option:
A) 1/ 225  B) 1 / 30  C) 1 /15  D) 2 / 15  E) 4 /15

Solution: R 1/15 + (14/15) * 1/14 = 2/15 2 / 15
Answer: D
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? Choose the most appropriate option:  A) 73 1/3 %  B) 13 1/3 %  C) 33 1/3 %  D) 23 1/3 %  E) 93 1/3 %

Solution: Explanation:   The total number of mangoes bought by the shopkeeper be 12.   If he buys 4 a rupee, his 33 1/3 %P = 3   He selling at 3 a rupee, his SP = 4   Profit = SP - 33 1/3 %P = 4 - 3= 
4 - 3 = 1
1   Profit Percent= 1/3 * 100 = 33 1/3 %   Answer:33 1/3 %
Answer: C
Among all sales staff at Listco Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 10% of Listco's sales staff. Listco employs 72 level-1 employees, 30 of whom are college graduates. How many sales staff members without college degrees are level-2 employees ? Choose the correct choice from the following: A) 108 B) 42 C) 56 D) 32 E) 58

Solution: I'm going in on this one.   So let's say that we have the following   So we know that L1 = 72 and that C and L1 = 0.10X , we should set up a double set matrix btw but anyways, I'm just explaining the point with this problem. Now we are told that 0.10x = 30, therefore the grand total is 300. Now we know that L2 is  300 - 72= 
 300 - 72 = 228
228. We also learn that C and No C are equally represented thus 150 each. Therefore No C and No L2 will be 150 - 42= 
150 - 42 = 108
108.   Thus 108 is the correct answer choice
Answer: A
If A can complete the work in x days, b can complete the same piece of work in y days and c can complete the same work in z days. In how many days that they can complete the work simultaneously?	Select.
A) cannot be determined  B) xyz/(x+y+z)  C) xyz  D) x+y+z  E) (x+y+z)/xyz

Solution: A's one day work=1/x..similarly b and c's one day work is 1/y and 1/z respectively.   a+b+c=(1/x)+(1/y)+(1/z)=(x+y+z)/xyz(one day work)   Total working days=xyz/(x+y+z).   The option xyz/(x+y+z) is the answer.
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?  Answers:
A) 288 B) 276 C) 285 D) 299 E) 261

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285
Answer: C
C individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If B of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?  Choose the correct choice from the following choices
A) Bx/c B) C-B C) Bx/C(C - B) D) bx E) CX

Solution: Number of individuals = Bx/C(C - B)   Amount paid by each individual = n   Total expected amount = Bx/C(C - B)harity's goal = nBx/C(C - B) = x   n = x/Bx/C(C - B)   Number of individuals who fail to pay = B   Bx/C(C - B)ontribution from individuals who would fail to pay = Bx/Bx/C(C - B) --> Additional amount   Number of individuals who are paying = Bx/C(C - B) - B   Additional amount has to be divided among the (Bx/C(C - B) - B) individuals --> Bx/Bx/C(C - B)(Bx/C(C - B) - B)   Bx/C(C - B)
Answer: C
Two pipes P and Q can fill a tank in 10 hours and 15 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank? Answers.
A) 4 hours 20 min  B) 5 hours 49 min  C) 3 hours 50 min  D) 6 hours  E) 3 hours 42 min

Solution: Explanation:   Part filled by P in 1 hour = 1/10   Part filled by Q in 1 hour = 1/15   Part filled by (P + Q) in 1 hour = ( 1/10 + 1/15) = (5/30) = 1/6   Time taken to fill the tank is  (6/1)= 
 (6/1) = 6
6 hrs   ANSWER 6 hours
Answer: D
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 2400. They completed the work in 3 days with the help of C. How much is to be paid to C?  Choose the correct option:
A) s. 300
B) s. 600
C) s. 420
D) s. 400
E) s. 480

Solution: Explanation :   s. 300mount of work s. 300 can do in 1 day = 1/6   s. 300mount of work B can do in 1 day = 1/8   s. 300mount of work s. 300 + B can do in 1 day = 1/6 + 1/8 = 7/24   s. 300mount of work s. 300 + B + C can do = 1/3   s. 300mount of work C can do in 1 day = 1/3 - 7/24 = 1/24   work s. 300 can do in 1 day: work B can do in 1 day: work C can do in 1 day   = 1/6 : 1/8 : 1/24 = 4 : 3 : 1   s. 300mount to be paid to C = 2400 × (1/8) = 300   s. 300nswer : Option s. 300
Answer: A
Which of the following ratios is greatest ?	Select:
A) 7 :15
B) 15 :23
C) 17 :25
D) 21 :29
E) 22: 29

Solution: Expl : 7/15 = 0.466, 15/23 = 0.652, 17/25 = 0.68 21/29 = 0.724   Clearly, 0.724 is greatest and therefore, 21 : 29 is greatest   Answer: 21 :29
Answer: D
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Answers.
A) 20% B) 28% C) 60% D) 26% E) 30%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer:20%
Answer: A
An investment compounds annually at an interest rate of 12% What is the smallest investment period by which time the investment will more than triple in value? Choose one.
A) 11/10 ^n  B) log3/log1.12  C) (12/10)^n  D) 1.12^n  E) 1.12^n

Solution: Assume initial amount is x   Annual Interest is 34.1% so after 1 year the amount will become x * (100+12)/100 => x*1.12   now we need to find n for x * (1.12)^n = 3x therefor n = log3/log1.12   log3/log1.12
Answer: B
A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^5, then what was the number in the population 40 minutes later?	Choose the correct choice from the following choices:
A) 2(10^5)
B) 4(10^5)
C) (2^4)(10^5)
D) (10^4)(10^5)
E) (10^5)^4

Solution: Every 10 minutes, the population is double the previous population.   In 40 minutes, the population doubles 4 times.   The population then is 2^4*10^5.   The answer is (2^4)(10^5).
Answer: C
The mean proportional between 234 and 104 is :	Answers:  A) 12  B) 39  C) 54  D) 64  E) 156

Solution: Required mean proportion is = (root of 234)(root of 104) = root of(13*9*2*13*18)   = (13*3*4)= 
(13*3*4) = 156
156   ANSW156R:156
Answer: E
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she does yoga for 25 minutes, how much time will she spend in the gym?	Choose the correct answer
A) 35 min
B) 5 min
C) 15 min
D) 25 min
E) 20 min

Solution: The ratio is 2:3 = yoga:exer, so (25)(3/2) = 37.5 minutes for exercise, and 2:3 = gym:ride, and (2/3)(37.5) = 25 minutes in the gym.   Answer: 25 min
Answer: D
Find the simple interest on Rs.422 for 3 months at 2 paisa per month?
Select:
A) s.27.5  B) s.34  C) s.26  D) s.25.28  E) s.25.32

Solution: s.25.32xplanation:   I = (422*3*2)/100= 
(422*3*2)/100 = 633/25 = around 25.32
25.32   Answer: Option s.25.32
Answer: E
A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not green? Choices:
A) 15/28
B) 1/4
C) 9/16
D) 1/32
E) 1/16

Solution: The question asks they will both be not green. Considering that these are draws without replacement there are following possibilities :   draw 1, draw 2   ===== =====   1) Not green, green;   2) green, Not green;   3) green, green;   4) Not green, not green;   The answer has to be either P(4) OR all exclusion of the 3 previous conditions i.e. 1- [P(1) + P(2) + P(3)] => neither of the draws are green   P(4) = 6/8*5/7=15/28   1- [P(1) + P(2) + P(3)] = 1 - [ (6/8 * 2/7) + (2/8*6/7) + (2/8*1/7)] = 1 - [26/8*7] = 1 - [13/28] = 15/28   15/28
Answer: A
Two trains of length 140 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Pick
A) 28  B) 266  C) 990  D) 20  E) 21

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 140 + 280= 
140 + 280 = 420
420 m.   The time required= d/s = 420/20= 
420/20 = 21
21 sec.   Answer: 21
Answer: E
Prints a page 64 pg per min .If the printed for 3 hours except 10 min.Where there
was an paper jam,how many page did it print
Select:
A) 10,880 B) 12,880 C) 14,880 D) 8,880 E) 18,880

Solution: 64 pages ------->1 min   3 hrs except 10 mints means=3*60= 
3*60 = 180
180-10= 
180-10 = 170
170 mints   i.e.,170*64=10,880 pages printed.   10,880NSWER:10,880
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:
A) 342 km
B) 390 km
C) 642 km
D) 742 km
E) 382 km

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 km
Answer: B
In a school of 800 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
Choose the correct answer:	A) 120	B) 128	C) 136	D) 144	E) 152

Solution: 45 + 23 + 15= 
45 + 23 + 15 = 83
83%   100 – 83= 17%    800 * 17/100= 
 800 * 17/100 = 136
136   The answer is 136.
Answer: C
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places) Options:
A) 20043.94	B) 20043.95	C) 20043.92	D) 20043.57	E) 20043.12

Solution: Let the rate of interest be R% p.a.   (49500)(3)(R)/100 = 17820   495R = 5940   R = 12   CI on Rs.49500 at 12% p.a. for three years   = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94   when rounded off to two decimal places.20043.94nswer: 20043.94
Answer: A
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.  Choose the correct answer.
A) 14 B) 15 C) 16 D) 17 E) 18

Solution: Explanation:   Let the cost price 1 article = Re 1   16ost price of x articles = x   S.P of x articles = 20   Gain = 20 -x   =>25=(20−x/ x∗100)   =>2000−100x=25x   =>x=16   Option 16
Answer: C