MU-NLPC/Calc-aqua_rat huggingface dataset:
The average score in an examination of 10 students of a class is 50. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is	Choose one
A) 96 B) 97 C) 89 D) 98 E) 95

Solution: The average score in an examination of 10 students of a class is 50 --> the total score = 10*50= 
10*50 = 500
500;   The 5 smallest scores have an average of 45 --> the total score of the 5 smallest scores= 225   From above, the total score of the 5 largest scores = 500 - 225= 
500 - 225 = 275
275.   Say the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 45 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:   a + b + c + d + e= 45 + 46 +47 + 48 + e = 275;   e = 89.   Answer: 89.
Answer: C
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%? Choose the correct choice from the following answers:
A) 25300 B) 22000 C) 21000 D) 23560 E) 24540

Solution: sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.   To get 1% :  18700/85= 
 18700/85 = 220
220; Then 220 is 1%.   To get 100% :  220*100= 
 220*100 = 22_000
22000.   To get 115% :  220*115= 
 220*115 = 25_300
25300.   25300NSWER :25300
Answer: A
If x is an odd negative integer and y is an even integer, which of the following statements must be true?
I. (4x - 2y) is odd
II. xy^2 is an even negative integer
III. (y^2 - x) is an odd negative integer	Choose the correct answer:
A) I only
B) II only
C) I and II
D) I and III
E) I,II and III NOT TRUE

Solution: If x is an odd negative integer and y is an even integer, which of the following statements must be true?   I. (3x - 2y) is odd   4x - is always negative and EVEN   2y - can be 0, when y=0, or always even integer (positivie or negative)   odd integer +/- even integer = always odd   I statement is NOT true   II. xy^2 is an even negative integer   y can be 0 => xy^2 = 0 (non-negative even) => II statement is not true   III. (y^2 - x) is an odd negative integer   y can be 0 => -x will be positive => III statement is not true   answer is I,II and III NOT TRUE
Answer: E
wo trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in	Choose one:
A) 14.4 sec
B) 14.9 sec
C) 12.4 sec
D) 14.8 sec
E) 15.4 sec

Solution: Explanation:   Let the length of the train be L metres   Speed of first train = \inline \frac{3600}{18}\times L m/hour   Speed of secxond train = \inline \frac{3600}{12}\times L m/hour   When running in opposite directions, relative speed = 200 L + 300 L m/hour   Distance to be covered = L + L = 2L metre   Time taken = \inline \frac{2L}{500L}\times 3600 sec   =14.4 sec   14.4 secnswer: 14.4 sec) 14.4 sec
Answer: A
A train 165 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?  Choose the correct choice
A) 5 B) 6 C) 9 D) 8 E) 5

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [165 * 3/55= 
165 * 3/55 = 9
9 sec   Answer: 9
Answer: C
Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?
Choices:
A) 1/30
B) 1/15
C) 2/15
D) 1/3
E) 2/3

Solution: since ben is out and edward is in, we are looking for remaining 3 players...   danny and frank are also in with fourth seat between alan /charles...   so total ways of selection of his desired team=2*4!..   total ways of selecting 4 out of 6=6*5*4*3= 
6*5*4*3 = 360
360   prob=2*24/360=2/15   ans C... 2/15
Answer: C
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
Options:
A) 420
B) 528
C) 494
D) 464
E) None of these

Solution: Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)   = (1200)(30)(3) kg.   Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k   As the same provisions are available   => (1200)(30)(3) = (1200 + x)(25)(2.5)   x = [(1200)(30)(3)] / (25)(2.5) - 1200 => x = 528   ANSWER:528
Answer: B
Rs.2080 is divided so that 3 times the first share, thrice the 2nd share and four times the third share amount to the same. What is the value of the second share?
Choose the correct choice from the following answers:  A) s802  B) s208  C) s960  D) s690  E) s906

Solution: A+B+s960 = 2080   3A = 2B = 4s960 = x   A:B:s960 = 1/3:1/2:1/4 = 4:6:3   6/13 * 2080= 
6/13 * 2080 = 960
Rs960   Answer:s960
Answer: C
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 20 kmph respectively. In what time will they cross each other completely? Choices.
A) 15 sec	B) 18 sec	C) 12 sec	D) 10 sec	E) 11 sec

Solution: Explanation:   D = 250 m + 250 m = 500 m   RS = 80 + 20= 
80 + 20 = 100
100 * 5/18= 250/9   T = 500 * 9/250= 
500 * 9/250 = 18
18 sec   Answer: Option 18 sec
Answer: B
What is 0.01 percent of 12,356?
Answers:
A) 0.12356	B) 1.2356	C) 12.356	D) 0.012356	E) 0.0012356

Solution: Soln:-   0.01 % of 12,356 = 0.011000.01100 x 12,356   = 1100∗1001100∗100 x 12,356   = 12,356100∗10012,356100∗100   = 1.2356   ANSWER:1.2356
Answer: B
The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years] Choose the correct choice: A) 35 years B) 40 years C) 45 years D) 47 years E) None of these

Solution: Explanation:   Let, Total of current ages of the 2 daughters is A years.   Then, father’s current age = 3A years.   (3A + 5) = 2 (A +10)   3A + 5 = 2A + 20   A = 15   Therefore, father’s current age = 45 years. Answer: 45 years
Answer: C
In a class,30 students pass in english and 20 students in maths,while some students among these pass in both.how many students do only english as compared to those doing only maths?  Choose the correct choice from the following answers
A) 10	B) 15	C) 4	D) 12	E) indeterminate

Solution: For doing Union or Intersection we would need three values. In this question the missing information in this question is Total no.of Students in the class.   ANSWindeterminateR:indeterminate
Answer: E
In Orange County one tenth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choose the correct option:  A) 60.  B) 42.  C) 85.  D) 70.  E) 252.

Solution: The number must be an integer and multiple of both 10 and 7.   Only option 70. fulfill this condition and hence is the answer.
Answer: D
A recipe contains 100g of sugar and milk, a quarter of sugar in butter. If it contains more milk 45g butter it contains sugar?  Choose the correct choice from the following:
A) 55 B) 44 C) 50 D) 30 E) 68

Solution: We propose equations,   sugar + milk = 100g   butter = sugar / 4   45g +butter=milk   sugar = 44g   Answer: 44
Answer: B
What is the radius of a circle that has a circumference of 3.14 meters? Choose the correct choice from the following answers:	A) 1.0	B) 2.5	C) 1.3	D) 0.5	E) 0.7

Solution: Circumference of a circle = 2πr.   Given, circumference = 3.14 meters.   Therefore,   2πr = Circumference of a circle   or, 2πr = 3.14.   or, 2* 3.14r = 3.14,[Putting the value of pi (π) = 3.14].   or, 6.28r = 3.14.   or, r = 3.14/6.28.   or, r = 0.5.   Answer: 0.5 meter.   correct answer 0.5
Answer: D
A train is running at a speed of 40 km/hr and it crosses a post in 17.1 seconds. What is the length of the train?
Pick one:  A) 190 metres  B) 160 metres  C) 200 metres  D) 120 metres  E) 250 metres

Solution: Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 17.1 s   Distance Covered, d = vt = (400/36)Ã— 17.1 = 190 m   Distance covered is equal to the length of the train = 190 m   Correct answer is 190 metres   190 metres
Answer: A
Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?  Choose the correct choice from the following answers
A) 36  B) 84  C) 132  D) 144  E) 180

Solution: 1st part: - In 1hr, Bus A covers 30 miles.   Relative speed of bus ABus B is   (80-30)= 
  (80-30) = 50
50mph.   So time required for 84us 84 to cover the exact distance as A is   50*t= 30   t=3/5 = 36min   2nd part   80*t=2d - 84 has to cover twice the distance   30*(t+1) = d - A traveled 1hr more and has to travel only only d   so   d/30 - 2d/80 = 1   D=120   T= 3hrs = 180 min   Question asks for +ve difference between part 1 and part 2 in minutes   = 180-36 = 84min   84
Answer: B
There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?	Select the correct option:	A) 2/9	B) 2/5	C) 7/9	D) 4/5	E) 8/9

Solution: Number of students = 10   Number of ways 10 students can sit around a circular table = (10 - 1)= 
(10 - 1) = 9
9!   Number of ways A and D sit together (consider A and D as one entity)= (9 - 1)= 
(9 - 1) = 8
8! * 2   Number of ways A and D do not sit together= 9! - (8! * 2)   Probability = (9! - (8! * 2))/9! = 1 - 2/9 = 7/9   Answer: 7/9
Answer: C
A car covers a distance of 660 km in 6 hours. Find its speed?	Pick one.
A) 104	B) 7778	C) 266	D) 110	E) 121

Solution: 660/6= 
660/6 = 110
110 kmph   Answer:110
Answer: D
If José reads at a constant rate of 5 pages every 5 minutes, how many seconds will it take him to read N pages?  Choose one:
A) 60
B) 2N
C) 5/2*N
D) 24N
E) 150

Solution: Jose would read 1 page in 5/5 min   Jose would read N page in (5/5)*N min i.e. (5/5)*N*60 Seconds = 60N Seconds.   Option 60 is the correct 60nswer.
Answer: A
Calculate the percentage gain if a trader bought a bicycle for Rs 950 and sold it for Rs.1500? Choose the correct choice from the following choices
A) 56.89% B) 52.89% C) 59.89% D) 56.89% E) 57.89%

Solution: C.P. = 950   S.P. = 1500   Gain = 1500-950 ---- 550   % Gain => 550/950*100 => 57.89%   Answer:57.89%
Answer: E
Find the cube root of 804357?
Options:
A) 22
B) 88
C) 93
D) 19
E) 18

Solution: Unit digit of the answer is 3. (cube of 3 = 27). Now omit 357 and find after which cube 804 lies. It is 729. so our tenth place is 9.   Answer = 93
Answer: C
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed? Choose the correct answer:
A) 6
B) 7 2⁄3
C) 6 2⁄3
D) 6 1⁄3
E) None of these

Solution: 10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work   \ Time taken = 60⁄9 days = 62⁄3 days   Answer 6 2⁄3
Answer: C
If the day before yesterday was Thursday, when will Sunday be?  Choose the correct choice from the following answers:
A) Day after tomorrow
B) Tomorow
C) Two days after today
D) Today
E) None of these

Solution: Explanation :   Day before yesterday was Thursday   =>Yesterday was a Friday   => Today is a Saturday   => Tomorrow is a Sunday. Answer : Option Tomorow
Answer: B
There are two batches A and B of a class. Batch A consists of 36 students and batch B consists of 44 students. Find the average weight of whole class, if average weight of batch A is 40 kg and that of batch B is 35 kg. Select.
A) 29.23 kg  B) 32.56 kg  C) 35.66 kg  D) 37.25 kg  E) NONE OF THE ABOVE

Solution: Given: Average weight of batch A = 40 kg , average weight of batch B = 35 kg   1) First find the total weight of all students   - Weight of batch A = (36 x 40) = 1440   - Weight of batch B = (44 x 35) = 1540   Total weight of all students = (1440 + 1540)= 
(1440 + 1540) = 2_980
2980 kg   2) Find average weight of whole class   (Batch A + Batch B) students= (36 + 44)= 
(36 + 44) = 80
80 students   Average Weight=	Total weight of all the students /	No. of Students   = 2980 / 80= 
2980 / 80 = 149/4 = around 37.25
37.25 kg   ANSWER IS 37.25 kg
Answer: D
30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?	Choose the correct answer
A) 87 days B) 10 days C) 55 days D) 44 days E) 22 days

Solution: Total work to be done = 30 * 40= 
30 * 40 = 1_200
1200   Let 20 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.   40P + (20 * 40)= 1200   40P = 400 => P = 10 days   Answer:10 days
Answer: B
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choose the correct option:
A) 38 B) 2767 C) 245 D) 277 E) 232

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer:245
Answer: C
In how many ways can live boys and three girls sit in a row such that all boys sit together?
Choices
A) 2888	B) 2827	C) 2880	D) 2827	E) 2837

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.   Required number of arrangements   = 4! * 5! = 24 * 120= 
24 * 120 = 2_880
2880.   Answer: 2880
Answer: C
In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported from 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 option.
A) 80x/7
B) 13x/20
C) 80/9x
D) 20x/13
E) 80x/9

Solution: Sales of imported tools = 25% of the total sales = 0.25*{total} = {total}/4;   Sales of Japanese tools = 35% of the sales of imported tools = 0.35*{total}/4 = 7/20*{total}/4 = 7*{total}/80.   Since the sales of of Japanese tools was x, then 7*{total}/80 = x --> {total} = 80x/7.   80x/7nswer: 80x/7.
Answer: A
Suppose two numbers are in the ratio 2:3. If 5 is subtracted from both of the numbers then the ratio becomes 1:2 then find the greatest number?  Select
A) 5 B) 15 C) 10 D) 20 E) 25

Solution: Given Ratio -> 2:3   2x - 5 : 3x - 10 = 1 : 2   2[2x - 5] = 1[3x - 5]   4x - 10 = 3x - 5   4x - 3x = 10 - 5= 
10 - 5 = 5
5   Then greatest number is= 3x   3x = 15   Ans - 15
Answer: B
A restaurant buys fruit in cans containing 3 1/2 cups of fruit each. If the restaurant uses 1/2 cup of the fruit in each serving of its fruit compote, what is the least number of cans needed to prepare 60 servings of the compote ? Pick one
A) 7
B) 8
C) 9
D) 10
E) 12

Solution: 7/2 cups = 1 can   1/2 cup of each serving. so 7 serving per 1 can.   Least number is  7*9= 
 7*9 = 63
63=60 approx   Answer -9   ANSWER:9
Answer: C
The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
Choose the correct choice from the following options:
A) 10% B) 15% C) 12% D) 13% E) 14%

Solution: P(Absent|Friday) = P(Friday and abscent)/P(Friday)   = 0.03/0.2   = 15%   ANSWER:15%
Answer: B
What was the day on 15th august 1947 ?
Choose the correct choice from the following: A) Friday B) Sunday C) Saturday D) Thursday E) Monday

Solution: Explanation:   15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)   Odd days in 1600 years = 0   Odd days in 300 years = 1   46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day   Jan. Feb. Mar. Apr. May. Jun. Jul. Aug    ( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 )= 
 ( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227
227 days= (32 weeks + 3 days) = 3 odd days.   Total number of odd days = (0 + 1 + 1 + 3)= 
(0 + 1 + 1 + 3) = 5
5 odd days.   Hence, as the number of odd days= 5 , given day is Friday.   Fridaynswer: Friday
Answer: A
A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.2% on their total annual charges made on the credit card, then what was the customer's annual charge? Select.
A) $13,750	B) $15,000	C) $16,250	D) $17,500	E) $18,750

Solution: The customer receives $50 for the first $5000.   The customer receives $100 for the next $5000.   Let x be the total amount of the customer's annual charge.   $150 + 0.03(x-10,000)=0.022x   0.008x=150   x=18,750   The answer is $18,750.
Answer: E
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
Choose the correct choice from the following:  A) 3/1  B) 3/2  C) 3/9  D) 3/5  E) 7/2

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23   ==> 27 x + 17 y = 23 x + 23 y   ==> 4 x = 6 y ==> x/y = 3/2.   Answer: 3/2
Answer: B
Sum of 19 odd numbers is? Select:
A) 341  B) 351  C) 361  D) 371  E) 381

Solution: sum of 1st n odd no.s = 1+3+5+7+... = n^2   so, Sum of 1st 19 odd numbers = 19^2 = 361   ANSWER:361
Answer: C
if 3rd ter, and 9th term is 8 in a.p,then find the 11th term
Options:  A) 61  B) 62  C) 63  D) 64  E) 65

Solution: a3=a1+(3-1)d   8=a1+2d.....(1)equ.   a9=a1+(9-1)d   8=a1+8d....(2)equ.   solve (1) and (2) then a1=4 and d=6.   a11=a1+(11-1)d   a11=4+10*6   a11=64.   ANSWER:64
Answer: D
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?	Choose the most appropriate option.
A) Rs.8429
B) Rs.8420
C) Rs.8400
D) Rs.8420
E) Rs.8412

Solution: Ratio of their shares = 22500 : 35000 = 9:14   Deepak's share = 13800 * 14/23   = Rs.8400.   Answer:Rs.8400
Answer: C
he average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Select:
A) 0 B) 1 C) 10 D) 19 E) 8

Solution: Average of 20 numbers = 0.   Sum of 20 numbers (0 x 20) = 0.   It is quite possible that 19 of these numbers may be positive and if their sum is a the 20th number is (-a).   Answer: Option 19
Answer: D
There are 7 red balls and 5 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that 3 balls selected are red balls?  Choose one
A) 19/44	B) 5/44	C) 3/41	D) 13/44	E) 7/44

Solution: Probability = Favorable outcomes / Total Outcomes   Probability = 7C3 / 12C3 OR (7/12)*(6/11)*(5/10) = 7/55   Answer Option 7/44
Answer: E
The difference between the place values of 6 and 5 in the number 826533 is
Select the correct option:
A) 5500 B) 4500 C) 2500 D) 6970 E) None

Solution: Sol.= (Place value of 6) – (place Value of 5)= (6000 - 500)= 
(6000 - 500) = 5_500
5500 5500nswer 5500
Answer: A
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:  Answers.
A) 2 Hours B) 3 Hours C) 4 Hours D) 1 Hour E) 5 Hours

Solution: Let the duration of the flight be x hours.   Then, 600/X - 600/(X +1/2) = 200 ==> 600/X - 1200/(2X +1) = 200   ==> X(2X + 1) = 3 (2  + 1)= 
(2  + 1) = 3
3==> 2X sqr. + X - 3 = 0 ==> (2X +3)(X - 1) = 0.   by neglecting negative value of X we got X = 1 hr.   Answer 1 Hour) 1 Hour.
Answer: D
A tank is filled in FOUR hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choose the correct choice from the following choices
A) 56 hours
B) 28 hours
C) 55 hours
D) 14 hours
E) 47 hours

Solution: 1/A + 1/B + 1/C = 1/4 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/4   => (1 + 2 + 4)/2B = 1/4   => 2B/7 = 4   => B = 14 hours.   Answer: 14 hours
Answer: D
A car dealership finances the purchase of a $30,000 car by lending y over the purchase price of the car to account for interest. If the dealership also charges a separate $150 service fee for the financing, this service fee is what fraction of the amount received by the customer? Select the correct option:  A) 150/(30000-Y)  B) 150Y*30000  C) 30150+Y  D) 150Y  E) 150/(30000+Y)

Solution: The amount of money the customer received was (30,000 + y) dollars. The $150 service fee as a fraction of the amount received was, therefore, 150/(30,000 + y).   Answer: 150/(30000+Y).
Answer: E
What will be the ans of that 126th term in the series abbcccdddd......???
Choose the correct choice from the following:
A) m	B) n	C) o	D) q	E) p

Solution: use formula n(n+1)/2=126   15*16=2*126   so 15 th letter is p   ANSWpR:p
Answer: E
What is the ratio whose term differ by 35 and the measure of which is 2/7?  Choose the correct option.
A) A)32:23 B) B)14:49 C) C)71:85 D) D)32:39 E) E)41:52

Solution: Let the ratio be x:(x+35)   Then, x/(x+35) = 2/7   x=14   required ratio = 14:49   Answer is 14:49
Answer: B
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1110 will be: Select the correct option: A) Rs. 300 B) Rs. 200 C) Rs. 240 D) Rs. 350 E) None of these

Solution: Z share = Z,   Y = 1.2Z   X = 1.25Ã—1.2Z,   X+Y+Z =111   (1.25Ã— 1.2+1.2+1)Z=1110   3.7Z=1110, Z=300   Answer: . Rs. 300
Answer: A
One side of a triangle has length 7 and a second side has length 4. Which of the following could be the area of the triangle?
I. 15
II. 10
III. 5	Choose the correct choice from the following answers:
A) I only  B) II only  C) III only  D) II and III only  E) I, II and III

Solution: The triangle will have a maximum area when it is a right angled triangle   The largest triangle will be formed when 7 and 4 are the base and height of triangle .   Area = 1/2 * 7 * 4= 
1/2 * 7 * 4 = 14
14   There is no lower limit on the area of any triangle whose only 2 sides are known.   Then 0 < Area <= 14   The answer is II and III only.
Answer: D
Of the 180 people at a party, 70 were women, and 30 women tried the appetizer. If 50 people did not try the appetizer, what is the total number of men who tried the appetizer?	Choose the correct choice.
A) 40	B) 50	C) 60	D) 70	E) 100

Solution: Total people at party=180   Women=70   so Men  180-70= 
 180-70 = 110
110   No. of pple who tried appetizer=180-50 (given info)=130   No of women who tried appetizer=30   So Remaining ppl(men) who tried the appetizer =130-30= 
130-30 = 100
100   Correct Option 100
Answer: E