MU-NLPC/Calc-aqua_rat huggingface dataset:
AB
+BA
-----------
AAC
In the correctly worked addition problem shown here, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?	Choose the correct choice from the following answers.
A) 9
B) 6
C) 3
D) 0
E) 2

Solution: AB+BA = AAC -> EQ 1   EQ 1 IMPLIES: B+A = 10+C - EQ 2 (DIFFICULT TO INTERPRET. I AGREE. JUST SUM UP THE UNITS 0IGIT IN EQ 1)   NOW SPLIT UP EQ 1   10A+B+10B+A = 100A+10A+C - EQ 3   EQ 3 IMPLIES: 11(A+B) = 110A+C   SUBSTITUTE EQ 2 (B+A = 10+C) IN ABOVE   11(10+C) = 110A+C => 110+11C = 110A + C   IMPLIES A = 1C = 0   0
Answer: D
Triangle ABC will be constructed in a xy-plane according to the following conditions: Angle ABC is 90 degrees, and AB is parallel to the y-axis; for each of points A, B and C, both the x-coordinate and the y-coordinate must be integers; the range of possible x-coordinates is 0=<x=<5 and the range of possible y-coordinates is -4=<y=<6. Any two triangles with non-identical vertices are considered different. Given these constraints, how many different triangles could be constructed? Pick.
A) 50 B) 66 C) 2500 D) 3300 E) 4356

Solution: Since give that 0=<x=<5 and -4=<y=<6 then we have a rectangle with dimensions 6*11 (6 horizontal and 11 vertical dots). AB is parallel to y-axis, BC is parallel to x-axis and the right angle is at B.   Choose the (x,y) coordinates for vertex B: 6C1*11C1;   Choose the x coordinate for vertex C (as y coordinate is fixed by B): 5C1, (6-1=5 as 1 horizontal dot is already occupied by B);   Choose the y coordinate for vertex A (as x coordinate is fixed by B): 10C1, (11-1=10 as 1 vertical dot is already occupied by B).   6C1*11C1*5C1*10C1=3,300.   Answer: 3300
Answer: D
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?  Choose the correct choice from the following.
A) 22 B) 12 C) 77 D) 99 E) 21

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.   Answer: 12
Answer: B
In a box, there are 10 red, 6 blue and 7 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Choose the correct answer.
A) 4/51	B) 10/23	C) 7/12	D) 11/31	E) 13/17

Solution: Total number of balls = 10+6+7= 
10+6+7 = 23
23   E= event that the ball drawn is neither red nor green   = event that the ball drawn is red   n(E) = 10   P(E) = 10/23   Answer is 10/23
Answer: B
A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 5 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour? Choose the correct choice from the following:
A) (a) 24/5 B) (b) 5 C) (c) 40/9 D) (d) 27/5 E) (e) 28/5

Solution: from the uphill we can find out the distance = 4*2= 
4*2 = 8
8   average speed= total distance/total time   = 16/ (2+ (8/5)) = 40/9   Answer is (c) 40/9.
Answer: C
The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)	Choose the most appropriate option
A) 100 B) 250 C) 750 D) 5812.5 E) 5835.5

Solution: 6 inches = 1/2 feet (there are 12 inches in a foot.), so  62*25*1/2= 
 62*25*1/2 = 775
775 feet^3 of milk must be removed, which equals to   775*7.5= 
  775*7.5 = 5_812.5
5812.5 gallons.   Answer: 5812.5.
Answer: D
Goldman Limited has 5 Senior Managing Directors and 6 Managing Directors. Each investment banking deal requires the guidance of four managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Limited possibly provide guidance for? Choose the correct choice from the following options
A) 116  B) 236  C) 315  D) 514  E) 614

Solution: P(at least 1 S D) = P(Total) - P(0 Senior Director)   =113154 - 63154   = 315
Answer: C
What is the smallest positive integer m such that the following equation
holds for some polynomials u(x) and v(x) with integer coefficients?
(x + 2)(x + 5)(x + 7) u(x) − (x − 2)(x − 5)(x − 7) v(x) = m  Answers.
A) 70 B) 1260 C) 1680 D) 3780 E) 7560

Solution: Substituting x = 5 into the given equation, we deduce 7 · 10 · 12 · u(5) = m. Substituting x = 7   into the given equation, we deduce 9 · 12 · 14 · u(7) = m. It follows that m must be divisible by   each of 7 · 10 · 12 and 9 · 12 · 14 which implies that 23 · 33 · 5 · 7 = 7560 divides m. Of the choices,   we see that only (e) is possible here. Verifying that such a u(x) and v(x) exist requires a little more   work, but we note that one can take u(x) = x2 − 14x + 54 and v(x) = x2 + 14x + 54.   correct answer 7560
Answer: E
The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl? Select.
A) years B) years C) years D) years E) years

Solution: Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years.   Then, x + (x + 2) + (x + 4) + (x +6) + (x + 8) = 50   5x = 30   x = 6.   Age of the youngest child = x =6 years.   years)
Answer: A
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ?
Pick one: A) X-1/8 B) X/2 C) X/4 D) X/32 E) X/16

Solution: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.   FINX-1/8LLY ON LEX-1/8VE WILL BE LEFT ..SO ON 3RD DX-1/8Y LEX-1/8VE LOST IS X-1/8 X-1/8NSWER X-1/8
Answer: A
If Joanie puts $500 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Choose the correct choice from the following.
A) $51.25
B) $510
C) $550
D) $551.25
E) $565

Solution: Since, money is compounded semiannually, rate of interest=10/2= 
10/2 = 5
5% and time=1*2= 
1*2 = 2
2   C.I=(5%of $500)+5%of(5%of $500)=$51.25   Amount=$500+51.25= 
500+51.25 = 551.25
$551.25   Answer $551.25
Answer: D
The ratio of the money with Ravi and Giri is 6:7 and that with Giri and Kiran is 6:15. If Ravi has $36, how much money does Kiran have?  Choose the correct choice from the following answers:	A) $36	B) $42	C) $60	D) $75	E) $105

Solution: Rita : Sita : Kavita   6 : 7   6 : 15   36 : 42 : 105   The ratio of money with Ravi, Giri and Kiran is 36:42:105   We see that 36 = $36   Then 105 = $ 105   Answer is $105
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 4 hours respectively. The ratio of their speeds is:	Choose the most appropriate option.
A) 2 : 4	B) 4 : 3	C) 6 : 7	D) 9 : 16	E) None of these

Solution: Let us name the trains as A and B. Then,   (A's speed) : (B's speed) = âˆšb : âˆša = âˆš4 : âˆš16 = 2 : 4.   2 : 4nswer 2 : 4
Answer: A
If the sum of the interior angles of a regular polygon measures up to 900 degrees, then how many sides does the polygon have? Pick one
A) 10 B) 16 C) 12 D) 11 E) 7

Solution: one of the interior angle = 180 - 360/n   sum of the interior angles is = n (180 - 360/n)   given   n(180 - 360/n)=900   180n - 360 = 1260   180n = 1260   n = 1260/180= 
1260/180 = 7
7   ANSW7R:7
Answer: E
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 12% if no discount was offered?  Answers:  A) 17608  B) 17920  C) 17604  D) 17600  E) 117601

Solution: Price at which the TV set is bought = Rs. 12,500   Discount offered = 20%   Marked Price = 12500 * 100/80 = Rs. 15625   The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000   The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 112/100 = Rs. 17920.Answer: 17920
Answer: B
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?  Pick:  A) 229  B) 787  C) 144  D) 148  E) 121

Solution: Let the slower pipe alone fill the tank in x min.   Then, faster pipe will fill it in x/3 min.   1/x + 3/x = 1/37   4/x = 1/37 => x = 148 min.   Answer: 148
Answer: D
If a person has two rectangular fields. The larger field has thrice the length and 4 times the width of the smaller field. If the smaller field has a length 50% more than the width.If a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field ?  Choose the correct choice
A) 69 minutes
B) 68 minutes
C) 58 minutes
D) 48 minutes
E) 67 minutes

Solution: Let the width of the smaller rectangle is 4 units   then, the length of the smaller rectangle is 6 units(that is 50% more than the width)   Now the perimeter of the rectangle is 2(6+4)=20units   So, 20 units is covered in 20 units, implies covers one unit in one minute   So Now coming to the larger rectangle   The Width =16Units, Length =18units, perimeter=2(16+18)68 units   Thus, to cover the larger field, 68 minutes required to cover the rectangle.   ANSWER:68 minutes
Answer: B
Three years ago the average age of a family of eight members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?	Choose the correct answer:	A) A)4	B) B)3	C) C)2	D) D)1	E) E)5

Solution: 8 * 23= 
8 * 23 = 184
184   9 * 20= 
9 * 20 = 180
180   --------------   4   4nswer: 4
Answer: A
Mr. Moses made an investment of Rs.350. he receives a fixed interest which is compounded annually. His investment doubled after 3 years when compounded annual. How many more years will it take him to get another Rs.700 compound interest?
Choices:
A) 4 years
B) 5 years
C) 1 years
D) 3 years
E) 2 years

Solution: Explanatory Answer   Rs.350 invested in compound interest becomes Rs.700 in 3 years.   The amount will double again in another 3 years.   i.e., the amount will become Rs.1400 in another 3 years.   So, to earn another Rs.700 interest, it will take another 3 years.   Answer 3 years
Answer: D
Which of the following numbers should not be included in the set?
331, 482, 551, 263, 381, 242, 111 Options
A) 263  B) 381  C) 242  D) 111  E) None of these

Solution: Solution   In each number except 381,the product of first and third digits is the middle one. Answer 381
Answer: B
Find the highest common factor of 36 and 84.	Choices
A) 4
B) 6
C) 12
D) 16
E) 18

Solution: 36 = 22 x 32   84 = 22 x 3 x 7   H.C.F. = 22 x 3 = 12.   Answer: Option 12
Answer: C
A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?	Choose the correct choice from the following answers
A) 10	B) 12	C) 16	D) 18	E) 20

Solution: The weight of one car and one truck is 5.75 tons.   60/5.75 = 10 plus a remainder   The ferry could carry 10 cars and 10 trucks for a total of 20 vehicles.   The answer is 20.
Answer: E
A and B complete a work in 10 days. A alone can do it in 40 days. If both together can do the work in how many days?	Choose the correct choice from the following answers.
A) 1.0875 days  B) 0.125 days  C) 0.0675 days  D) 0.0875 days  E) 0.0775 days

Solution: 1/10 + 1/40= 
1/10 + 1/40 = 1/8 = around 0.125
0.125 days   ANSWER:0.125 days
Answer: B
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
Options:	A) 1 : 3	B) 2 : 3	C) 1 : 2	D) 4 : 9	E) 1 : 4

Solution: Let the principal be P and rate of interest be R%.   Required ratio =   (P x R x 4)/100 DIVIDED BY	(P x R x 9)/100   =	4PR/9PR	=	4/9	= 4 : 9.   ANSWER : 4 : 9
Answer: D
Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5? Select the correct option.
A) 10	B) 15	C) 20	D) 8	E) 12

Solution: Suppose the ratio was 3:5, x years ago   40-x / 60-x = 3/5   5(40-x) = 3(60-x)   x = 10   10nswer is 10
Answer: A
Peter mixed 24 kg of butter at $150 per kg with 36 kg butter at the rate of $125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?  Choose the correct choice from the following options:
A) $156
B) $177
C) $189
D) $190
E) $153

Solution: $189   $189   $189P per kg of mixture = [24(150) + 36(125)]/(24 + 36) = $135   SP = $189P[(100 + profit%)/100]   = 135 * [(100 + 40)/100] = $189.135 *  (100 + 40)/100= 
135 *  (100 + 40)/100 = 189
$189.
Answer: C
The largest number amongst the following that will perfectly divide 101100 – 1 is?	Choose the correct choice from the following options:
A) 9000	B) 91000	C) 10000	D) 11000	E) 12000

Solution: The easiest way to solve such problems for objective exam purposes is trial and error or by back   substituting answers in the choices given.   1012 = 10,201   1012 − 1 = 10,200.   This is divisible by 100.   Similarly try for 1013 − 1 = 1,030,301−1 = 1,030,300.   So you can safely conclude that (1011 − 1) to (1019 − 1) will be divisible by 100.   (10110 − 1) to (10199 − 1) will be divisible by 1000.   Therefore, (101100 − 1) will be divisible by 10,000   10000)
Answer: C
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?  Choose the correct option
A) A)1055	B) B)1075	C) C)1065	D) D)1235	E) E)1080

Solution: Cost of 8 kg grapes = 70 × 8 = 560.   Cost of 9 kg of mangoes = 75 × 9 = 675.   Total cost he has to pay = 560 + 675= 
560 + 675 = 1_235
1235.   1235)
Answer: D
If a family spends 40 percent of its household budget on rent and utilities, 30 percent to food, and 20 percent on other bills, what fraction of their monthly budget is available for savings ?	Options.
A) 4/5	B) 1/10	C) 3/5	D) 1/10	E) 3/10

Solution: 100%-(40%+30%+20%)=10% of the budget is available --> 10% 100 -(40 +30 +20 )= 
100 -(40 +30 +20 ) = 10
10% of the budget is available --> 10% = 10/100   --  10= 
  --  10 = 10
10/100= 1/10.   Answer: 1/10.
Answer: D
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is? Choose the correct choice.
A) 5  B) 6  C) 7  D) 7  E) 1

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5nswer: 5
Answer: A
A rectangular tiled patio is composed of 40 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 40 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? Choose the correct choice from the following choices:
A) 5 B) 6 C) 10 D) 13 E) 28

Solution: r*c=70 and (6+4)(c-2)=70 --> r=6 and c=6.   Answer: 6.
Answer: B
krishna has 20 apples.ram has 15 apples. Totally how many apples they have in all?  Choose the most appropriate option.
A) 15 B) 25 C) 55 D) 15 E) 35

Solution: 20+15= 
20+15 = 35
35. Answer is 35
Answer: E
Ram is able to sell a hand-carved statue for $770 which was a 10% profit over his cost. How much did the statue originally cost him?  Choose the correct choice.
A) $496.30
B) $512.40
C) $555.40
D) $700
E) $588.20

Solution: Cost price = 770/110*100= 
770/110*100 = 700
700   Answer : $700
Answer: D
n a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations? Options:
A) 62  B) 63  C) 64  D) 66.66  E) 65

Solution: Given :-   Violets - C/3   Carnations - C   Tulip - C/12   Rose - C/12   Total flowers in terms of C = C/3+C+C/12+C/12 = 18C/12   Percentage of Carnations = C/3C/2 *100 =66.66%   Answer 66.66
Answer: D
PZQW : NXOU :: FISK :?  Choose the correct choice:
A) EFPJ
B) FERI
C) DGQI
D) HKUM
E) HKUN

Solution: Difference of one alphabet on each side of proportion term. Answer is thus DGQI   ANSWER:DGQI
Answer: C
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio J of the amount of time it will take Machines X and Z to complete the job to the ratio of the amount of time it will take Machines Y and Z to complete the job?  Choose the correct option:
A) 5 to 1
B) 10 to 7
C) 1 to 5
D) 7 to 10
E) 9 to 10

Solution: Solutioning this exercise can be facilitated by using a R T W (rate time work) table:   We translate the exercise into the table:   R T W   X t/2 1   Y t 1   Z (t/2*3/2 =3t/4) 1   From this table we find the rates   Rx = 2/t   Ry = 1/t   Rz = 4/3t   The Q is what is the ratio of (Tx + Ty) / (Ty + Tz)   Rx + Ry = 2/t + 4/3t = 6/3t+4/3t = 10/3t   Ry+Rz = 1/t + 4/3t = 3/3t + 4/3t = 7/3t   The (10/3t)/(7/3t) = 10/7 then the work ratios is 10 to 7   Since Time Ratio J is the inverse of work, the the answer is 7 to 10   CORRECT ANSWER 7 to 10
Answer: D
A certain number of workers can do a work in 45 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there? Choose the correct choice from the following:
A) 25 B) 30 C) 28 D) 24 E) 35

Solution: number of workers = 10* (45-10)/10= 
10* (45-10)/10 = 35
35   Answer is 35
Answer: E
A train 575 m long crosses a tunnel of length 325 in 90 sec. What is the speed of the train in kmph.
Choose the correct choice from the following answers:	A) 28	B) 32	C) 36	D) 24	E) 30

Solution: Total distance traveled = Length of train + Length of tunnel = 575 + 325= 
575 + 325 = 900
900   Time taken to cross the tunnel= 90 sec.   Speed in kmph = distance/time *18/5 = 900/90 * 18/5   = 180/5= 
180/5 = 36
36 kmph   ANSWER:36
Answer: C
If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y? Choose the correct choice from the following.
A) 0  B) 1  C) 2  D) 3  E) 9

Solution: Answer = 1 = 1   20 - 19 = 30-29 = 40-39 = 50-49= 
50-49 = 1
1
Answer: B
Find the average of first 4 multiples of 9?
Select
A) 10 B) 12.6 C) 22.5 D) 31.3 E) 40.8

Solution: average = (9+18+27+36)/4= 
(9+18+27+36)/4 = 45/2 = around 22.5
22.5   Answer is 22.5
Answer: C
A table is bought for Rs.500/- and sold at a loss of 10% find its selling price
Choose the correct choice from the following:
A) s.450/-
B) s.530/-
C) s.540/-
D) s.600/-
E) s.700/-

Solution: 100 % ------> 500 (100 * 5 = 500)   90 % ------> 450 (90 * 5 = 450)   Selling price = Rs.450/-   s.450/-
Answer: A
If the remainder is 11 when the integer n is divided by 20, what is the remainder when 2n is divided by 10?
Select the correct option
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: n = 20k+11   2n = 2(20k+11) = 4k*10 + 22 = 4k*10 + 2*10 + 2 = 10j + 2   The answer is 2.
Answer: C
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is? Choose the correct choice from the following options:
A) 11 years  B) 17 years  C) 67 years  D) 14 years  E) 12 years

Solution: Age of the 15th student   =[15 * 15 - (14 * 5 + 16 * 9)]   = (225 - 214)= 
(225 - 214) = 11
11 years.   11 yearsnswer:11 years
Answer: A
On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ? Choose the correct answer:
A) 2400 B) 2480 C) 2680 D) 2800 E) 2900

Solution: Let take X is the sweets received by each student.   Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. means   35*x = 140*4= 
140*4 = 560
560. X= 16. total Sweets are 175*16= 
175*16 = 2_800
2800   ANSWER:2800
Answer: D
A circular well with a diameter of 6 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out?  Choose one:
A) 678.6 m3 B) 36 m3 C) 40 m3 D) 44 m3 E) None

Solution: Solution   Volume	= πr2h   ‹=› (22 /7 ×3×3×24)m3   ‹=›678.6 m3.   678.6 m3nswer 678.6 m3
Answer: A
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 30 km apart, if they walk in the same direction?
Choose the correct choice from the following choices:  A) 15hours  B) 6hours  C) 8hours  D) 10hours  E) 12hours

Solution: To be 2km apart they take 1 hour   To be 10km apart they take = 1/2 * 30= 
1/2 * 30 = 15
15 hours   15hoursnswer is 15hours
Answer: A
A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
Choose the most appropriate option:
A) 97	B) 60	C) 91	D) 26	E) 21

Solution: Let the number of boys be x.   Number of girls is 120 - x.   Total number of chocolates received by boys and girls = 2x + 3(120 - x) = 300   => 360 - x = 300 => x = 60.   So, the number of boys or girls is 60.   Answer: 60
Answer: B
A boat having a length 3 m and breadth 2 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 option:
A) 12 kg  B) 60 kg  C) 72 kg  D) 80 kg  E) 96 kg

Solution: Volume of water displaced	= (3 x 2 x 0.01) m3   = 0.06 m3.   Mass of man	= Volume of water displaced x Density of water   = (0.06 x 1000) kg   = 60 kg. Answer: Option 60 kg
Answer: B
A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
Choose the correct answer.
A) He Gained Rs. 200  B) He lost Rs. 200  C) He neither gained nor lost  D) None of the above  E) He lost Rs. 400

Solution: Explanation:   The CP of profitable cow = 9900/1.1= 
9900/1.1 = 9_000
9000   and profit= Rs. 900   The CP of loss yielding cow = 9900/0.8= 
9900/0.8 = 12_375
12375   and loss= Rs. 2475   so, the net loss = 2475 - 900= 
2475 - 900 = 1_575
1575. Answer: None of the above
Answer: D
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?	Select the correct option:
A) 18:11  B) 18:15  C) 18:10  D) 18:12  E) 18:13

Solution: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.   18:11 : B   8000*18 : (8000*4) + (4000*14)   14400 : 88000   18:11:B = 18:11 .18:11nswer: 18:11
Answer: A
A train travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?  Answers.
A) 200miles B) 230miles C) 250miles D) 150miles E) 300miles

Solution: Total distance traveled = (50*2 1/2)+(70*1 1/2) = 125+105= 
125+105 = 230
230 miles   Answer is 230miles
Answer: B
In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?  Choose the correct choice from the following options
A) 975
B) 1020
C) 1175
D) 1243
E) 1525

Solution: Failed in 1st subject = 35*2500/100= 
35*2500/100 = 875
875   Failed in 2nd subject= 42*2500/100= 
42*2500/100 = 1_050
1050   Failed in both= 15*2500/100= 
15*2500/100 = 375
375   Failed in 1st subject only= 875-375= 
875-375 = 500
500   Failed in 2nd subject only= 1050-375= 
1050-375 = 675
675   Passed in either subject but not in both= 675+500= 
675+500 = 1_175
1175   Answer is 1175
Answer: C