mathewhe/aqua_rat huggingface dataset:
Question: 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%?
(A) 25300
(B) 22000
(C) 21000
(D) 23560
(E) 24540
Rationale: sell at 18700 he got a loss of 15% means, This 18700 is 85% not 100%.
To get 1% : 18700/85=220; Then 220 is 1%.
To get 100% : 220*100=22000.
To get 115% : 220*115=25300.
ANSWER :A
Answer: (A) 25300
Question: 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
(A) I only
(B) II only
(C) I and II
(D) I and III
(E) I,II and III NOT TRUE
Rationale: 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 E
Answer: (E) I,II and III NOT TRUE
Question: wo trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
(A) 14.4 sec
(B) 14.9 sec
(C) 12.4 sec
(D) 14.8 sec
(E) 15.4 sec
Rationale: 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
Answer: A) 14.4 sec
Answer: (A) 14.4 sec
Question: 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?
(A) 5
(B) 6
(C) 9
(D) 8
(E) 5
Rationale: 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] sec = 9 sec
Answer: C
Answer: (C) 9
Question: 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?
(A) 1/30
(B) 1/15
(C) 2/15
(D) 1/3
(E) 2/3
Rationale: 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=360
prob=2*24/360=2/15
ans C... 2/15
Answer: (C) 2/15
Question: 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.
(A) 420
(B) 528
(C) 494
(D) 464
(E) None of these
Rationale: 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:B
Answer: (B) 528
Question: 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?
(A) s802
(B) s208
(C) s960
(D) s690
(E) s906
Rationale: A+B+C = 2080
3A = 2B = 4C = x
A:B:C = 1/3:1/2:1/4 = 4:6:3
6/13 * 2080 =Rs960
Answer:C
Answer: (C) s960
Question: 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?
(A) 15 sec
(B) 18 sec
(C) 12 sec
(D) 10 sec
(E) 11 sec
Rationale: Explanation:
D = 250 m + 250 m = 500 m
RS = 80 + 20 = 100 * 5/18 = 250/9
T = 500 * 9/250 = 18 sec
Answer: Option B
Answer: (B) 18 sec
Question: What is 0.01 percent of 12,356?
(A) 0.12356
(B) 1.2356
(C) 12.356
(D) 0.012356
(E) 0.0012356
Rationale: 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:B
Answer: (B) 1.2356
Question: 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]
(A) 35 years
(B) 40 years
(C) 45 years
(D) 47 years
(E) None of these
Rationale: 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: C
Answer: (C) 45 years
Question: 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?
(A) 10
(B) 15
(C) 4
(D) 12
(E) indeterminate
Rationale: 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.
ANSWER:E
Answer: (E) indeterminate
Question: 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?
(A) 60.
(B) 42.
(C) 85.
(D) 70.
(E) 252.
Rationale: The number must be an integer and multiple of both 10 and 7.
Only option D fulfill this condition and hence is the answer.
Answer: (D) 70.
Question: A recipe contains 100g of sugar and milk, a quarter of sugar in butter. If it contains more milk 45g butter it contains sugar?
(A) 55
(B) 44
(C) 50
(D) 30
(E) 68
Rationale: We propose equations,
sugar + milk = 100g
butter = sugar / 4
45g +butter=milk
sugar = 44g
Answer: B
Answer: (B) 44
Question: What is the radius of a circle that has a circumference of 3.14 meters?
(A) 1.0
(B) 2.5
(C) 1.3
(D) 0.5
(E) 0.7
Rationale: 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 D
Answer: (D) 0.5
Question: 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?
(A) 190 metres
(B) 160 metres
(C) 200 metres
(D) 120 metres
(E) 250 metres
Rationale: 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
A
Answer: (A) 190 metres
Question: 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?
(A) 36
(B) 84
(C) 132
(D) 144
(E) 180
Rationale: 1st part: - In 1hr, Bus A covers 30 miles.
Relative speed of bus ABus B is (80-30) = 50mph.
So time required for Bus B to cover the exact distance as A is
50*t = 30
t=3/5 = 36min
2nd part
80*t=2d - B 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
B
Answer: (B) 84
Question: 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?
(A) 2/9
(B) 2/5
(C) 7/9
(D) 4/5
(E) 8/9
Rationale: Number of students = 10
Number of ways 10 students can sit around a circular table = (10 - 1)! = 9!
Number of ways A and D sit together (consider A and D as one entity) = (9 - 1)! = 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: C
Answer: (C) 7/9
Question: A car covers a distance of 660 km in 6 hours. Find its speed?
(A) 104
(B) 7778
(C) 266
(D) 110
(E) 121
Rationale: 660/6 = 110 kmph
Answer:D
Answer: (D) 110
Question: If José reads at a constant rate of 5 pages every 5 minutes, how many seconds will it take him to read N pages?
(A) 60
(B) 2N
(C) 5/2*N
(D) 24N
(E) 150
Rationale: 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 A is the correct Answer.
Answer: (A) 60
Question: Calculate the percentage gain if a trader bought a bicycle for Rs 950 and sold it for Rs.1500?
(A) 56.89%
(B) 52.89%
(C) 59.89%
(D) 56.89%
(E) 57.89%
Rationale: C.P. = 950
S.P. = 1500
Gain = 1500-950 ---- 550
% Gain => 550/950*100 => 57.89%
Answer:E
Answer: (E) 57.89%
Question: Find the cube root of 804357?
(A) 22
(B) 88
(C) 93
(D) 19
(E) 18
Rationale: 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 = C
Answer: (C) 93
Question: 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?
(A) 6
(B) 7 2⁄3
(C) 6 2⁄3
(D) 6 1⁄3
(E) None of these
Rationale: 10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work
\ Time taken = 60⁄9 days = 62⁄3 days
Answer C
Answer: (C) 6 2⁄3
Question: If the day before yesterday was Thursday, when will Sunday be?
(A) Day after tomorrow
(B) Tomorow
(C) Two days after today
(D) Today
(E) None of these
Rationale: Explanation :
Day before yesterday was Thursday
=>Yesterday was a Friday
=> Today is a Saturday
=> Tomorrow is a Sunday. Answer : Option B
Answer: (B) Tomorow
Question: 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.
(A) 29.23 kg
(B) 32.56 kg
(C) 35.66 kg
(D) 37.25 kg
(E) NONE OF THE ABOVE
Rationale: 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) = 2980 kg
2) Find average weight of whole class
(Batch A + Batch B) students = (36 + 44) = 80 students
Average Weight =	Total weight of all the students /	No. of Students
= 2980 / 80
= 37.25 kg
ANSWER IS D
Answer: (D) 37.25 kg
Question: 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?
(A) 87 days
(B) 10 days
(C) 55 days
(D) 44 days
(E) 22 days
Rationale: Total work to be done = 30 * 40 = 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:B
Answer: (B) 10 days
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
(A) 38
(B) 2767
(C) 245
(D) 277
(E) 232
Rationale: 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:C
Answer: (C) 245
Question: In how many ways can live boys and three girls sit in a row such that all boys sit together?
(A) 2888
(B) 2827
(C) 2880
(D) 2827
(E) 2837
Rationale: 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
= 2880.
Answer: C
Answer: (C) 2880
Question: 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?
(A) 80x/7
(B) 13x/20
(C) 80/9x
(D) 20x/13
(E) 80x/9
Rationale: 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.
Answer: A.
Answer: (A) 80x/7
Question: 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?
(A) 5
(B) 15
(C) 10
(D) 20
(E) 25
Rationale: Given Ratio -> 2:3
2x - 5 : 3x - 10 = 1 : 2
2[2x - 5] = 1[3x - 5]
4x - 10 = 3x - 5
4x - 3x = 10 - 5
x = 5
Then greatest number is = 3x
3x = 15
Ans - B
Answer: (B) 15
Question: 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 ?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 12
Rationale: 7/2 cups = 1 can
1/2 cup of each serving. so 7 serving per 1 can.
Least number is 7*9=63 =60 approx
Answer -9
ANSWER:C
Answer: (C) 9
Question: 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?
(A) 10%
(B) 15%
(C) 12%
(D) 13%
(E) 14%
Rationale: P(Absent|Friday) = P(Friday and abscent)/P(Friday)
= 0.03/0.2
= 15%
ANSWER:B
Answer: (B) 15%
Question: What was the day on 15th august 1947 ?
(A) Friday
(B) Sunday
(C) Saturday
(D) Thursday
(E) Monday
Rationale: 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 ) = 227 days = (32 weeks + 3 days) = 3 odd days.
Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.
Hence, as the number of odd days = 5 , given day is Friday.
Answer: A
Answer: (A) Friday
Question: 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?
(A) $13,750
(B) $15,000
(C) $16,250
(D) $17,500
(E) $18,750
Rationale: 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 E.
Answer: (E) $18,750
Question: 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?
(A) 3/1
(B) 3/2
(C) 3/9
(D) 3/5
(E) 7/2
Rationale: 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: B
Answer: (B) 3/2
Question: Sum of 19 odd numbers is?
(A) 341
(B) 351
(C) 361
(D) 371
(E) 381
Rationale: sum of 1st n odd no.s = 1+3+5+7+... = n^2
so, Sum of 1st 19 odd numbers = 19^2 = 361
ANSWER:C
Answer: (C) 361
Question: if 3rd ter, and 9th term is 8 in a.p,then find the 11th term
(A) 61
(B) 62
(C) 63
(D) 64
(E) 65
Rationale: 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:D
Answer: (D) 64
Question: 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?
(A) Rs.8429
(B) Rs.8420
(C) Rs.8400
(D) Rs.8420
(E) Rs.8412
Rationale: Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23
= Rs.8400.
Answer:C
Answer: (C) Rs.8400
Question: he average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
(A) 0
(B) 1
(C) 10
(D) 19
(E) 8
Rationale: 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 D
Answer: (D) 19
Question: 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?
(A) 19/44
(B) 5/44
(C) 3/41
(D) 13/44
(E) 7/44
Rationale: Probability = Favorable outcomes / Total Outcomes
Probability = 7C3 / 12C3 OR (7/12)*(6/11)*(5/10) = 7/55
Answer Option E
Answer: (E) 7/44
Question: The difference between the place values of 6 and 5 in the number 826533 is
(A) 5500
(B) 4500
(C) 2500
(D) 6970
(E) None
Rationale: Sol.= (Place value of 6) – (place Value of 5)= (6000 - 500)= 5500 Answer A
Answer: (A) 5500
Question: 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:
(A) 2 Hours
(B) 3 Hours
(C) 4 Hours
(D) 1 Hour
(E) 5 Hours
Rationale: 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 ==> 2X sqr. + X - 3 = 0 ==> (2X +3)(X - 1) = 0.
by neglecting negative value of X we got X = 1 hr.
Answer D) 1 Hour.
Answer: (D) 1 Hour
Question: 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?
(A) 56 hours
(B) 28 hours
(C) 55 hours
(D) 14 hours
(E) 47 hours
Rationale: 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: D
Answer: (D) 14 hours
Question: 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?
(A) 150/(30000-Y)
(B) 150Y*30000
(C) 30150+Y
(D) 150Y
(E) 150/(30000+Y)
Rationale: 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: E.
Answer: (E) 150/(30000+Y)
Question: What will be the ans of that 126th term in the series abbcccdddd......???
(A) m
(B) n
(C) o
(D) q
(E) p
Rationale: use formula n(n+1)/2=126
15*16=2*126
so 15 th letter is p
ANSWER:E
Answer: (E) p
Question: What is the ratio whose term differ by 35 and the measure of which is 2/7?
(A) A)32:23
(B) B)14:49
(C) C)71:85
(D) D)32:39
(E) E)41:52
Rationale: Let the ratio be x:(x+35)
Then, x/(x+35) = 2/7
x=14
required ratio = 14:49
Answer is B
Answer: (B) B)14:49
Question: If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 1110 will be:
(A) Rs. 300
(B) Rs. 200
(C) Rs. 240
(D) Rs. 350
(E) None of these
Rationale: 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: . A
Answer: (A) Rs. 300
Question: 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
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III
Rationale: 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 = 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 D.
Answer: (D) II and III only
Question: 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?
(A) 40
(B) 50
(C) 60
(D) 70
(E) 100
Rationale: Total people at party=180
Women=70
so Men 180-70=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=100
Correct Option E
Answer: (E) 100
Question: 2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be
(A) 4
(B) 5
(C) 7
(D) 9
(E) 11
Rationale: (C)
Required remainder = remainder by (13 +11)/17 = 7
Answer: (C) 7
Question: What is the value of (P + Q)/(P - Q) if P/Q is 4?
(A) 5/3
(B) 2/3
(C) 2/6
(D) 7/8
(E) 8/7
Rationale: (P + Q)/(P - Q) = [(P/Q) + 1]/[(P/Q) - 1]
= (4 + 1)/(4 - 1)
= 5/3
= 5/3
ANSWER:A
Answer: (A) 5/3
Question: When a is divided by b, the quotient is c with remainder 4. What is a in terms of 4, b, and c?
(A) b+c/4
(B) bc+4
(C) b+c
(D) bc*4
(E) bc-4
Rationale: a/b =c with remainder 4
i.e, a-4 = bc
a= bc+4
Answer : B
Answer: (B) bc+4
Question: If a and b are unique prime integers, which of the following must be even?
(A) a−b
(B) a−2b
(C) 2a−2b
(D) 2a−b
(E) ab^2
Rationale: Let's assume that a is an even prime integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.
Answer C
Answer: (C) 2a−2b
Question: In a coconut grove, (x + 2) trees yield 40 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: (x+2)×40+x×120+(x−2)×180/(x+2)+x+(x−2)=100
⇒ 340x−280/3x = 100
⇒ 40x = 280 ⇒ x = 7
Answer E
Answer: (E) 7
Question: Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4,
find P (E|F) and P(F|E)?
(A) 1
(B) 1/4
(C) 2
(D) 2/5
(E) None
Rationale: Here, E and F are events
P(E|F) = P(EnF)/P(F) = 0.4/0.4 = 1
P(F|E) = P(EnF)/P(E) = 0.4/0.16 = 1/4.
Option is B
Answer: (B) 1/4
Question: What amount does an investor receive if the investor invests $4000 at 10% p.a. compound interest for two years, compounding done annually?
(A) $4720
(B) $4840
(C) $4920
(D) $5080
(E) $5160
Rationale: A = (1 + R/100)^n * P
(1.1)^2 * 5000 = 1.21 * 5000 = 4840
The answer is B.
Answer: (B) $4840