divelab/Sys2Bench huggingface dataset:
Question: Bookman purchased 55 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 360, how many paperback copies were sold?
Options:
A)8
B)10
C)12
D)19
E)16
Rationale: The bookman had 10 hardback ad 55-10=45 paperback copies;
14 copies were sold, hence 55-14=41 copies were left. Let # of paperback copies left be p then 10p+20(41-p)=560 --> 10 p=260 --> p=26
# of paperback copies sold is 45-26=19
Answer: D
Answer: D
Question: 20 men can cut 30 trees in 4 hours. If 4men leave the job, how many trees will be cut in 6 hours?
Options:
A)24
B)36
C)48
D)22
E)32
Rationale: 20 men - working 4 hrs - cut 30 trees
1men - working 1hr - cuts = 30/20*4
Thus 16 men - working 6hrs - cut = 30*16*6 / 20*4 = 36 trees
Answer is B
Answer: B
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > x or x < 0?
Options:
A)5/8
B)4/5
C)3/8
D)1/2
E)3/4
Rationale: The line y=x divides the circle into two equal areas.
All the points above the line y=x satisfy the condition that y > x.
All the points to the left of the y-axis satisfy the condition that x < 0.
The union of these two areas is 5/8 of the circle.
The answer is A.
Answer: A
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent J of the distribution is less than m +d ?
Options:
A)16%
B)32%
C)48%
D)84%
E)92%
Rationale: D
The prompt says that 68% of the population lies between m-d and m+d.
Thus, 32% of the population is less than m-d or greater than m+d.
Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d.
Thus,J= (68+16)% or (100-16)% of the population is less than m+d.D
Answer: D
Question: In Township K each property is taxed at 8 percent of its assessed value. If the assessed value of a property in Township K is increased from $180,000 to $24,000, by how much will the property tax increase?
Options:
A) $32
B) $50
C) $480
D) $400
E) $500
Rationale: Increase in house value = $24,000 - $18,000 =$8000
So, tax increase = 8% of$6000=$480
Answer: C
Answer: C
Question: 10^(655) Ã· 10^(650) = ?
Options:
A)100
B)10
C)10000
D)100000
E)1000000
Rationale: 10^(655) Ã· 10^(651) = 10^ (655-651) = 10^5
= 100000
Answer : D
Answer: D
Question: 1904 x 1904 =?
Options:
A)3654316
B)3632646
C)3625216
D)3623436
E)None of them
Rationale: =(1904)^2
=(1900+4)^2
=(1900)^2 + 4^2 + 2 x 1900 x 4
=3610000+16+15200
=3610016+15200
=3625216
Answer is C
Answer: C
Question: Two trains travelling in the same direction at 72 and 36 kmph completely pass off another in 1 minute. If the length of the first train is 250 m, what is the length of the second train?
Options:
A)228
B)350
C)175
D)99
E)171
Rationale: RS = 72 â€“ 36 = 36 * 5/18 = 10 mps
T = 60 sec
D = 10 * 60 = 600 m
250
--------
350 m
Answer: B
Answer: B
Question: The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Options:
A)1000
B)3000
C)2400
D)5000
E)7000
Rationale: Explanation:
Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
Answer is C
Answer: C
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 60 days.
Options:
A)36 days.
B)17 days.
C)18 days.
D)19 days.
E)20 days.
Rationale: They together completed 4/10 work in 4 days.
balance 6/10 work will be completed by Arun alone in 60*6/10 = 36 days.
ANSWER:A
Answer: A
Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
Options:
A)Rs 429
B)Rs 412
C)Rs 400
D)Rs 129
E)Rs 122
Rationale: Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
Answer: C
Answer: C
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 100 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Options:
A)31 km/hr.
B)30 km/hr.
C)34 km/hr.
D)35 km/hr.
E)36 km/hr.
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (100 + 100 )/12
2x = 16.6
x = 8.3.
Speed of each train = 8.3 m/sec = 8.3 x 18/5 km/hr = 30 km/hr.
answer :B
Answer: B
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of A is?
Options:
A)s.28028
B)s.28000
C)s.28003
D)s.28029
E)s.24029
Rationale: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 52000
Share of B = 7/13 (52000) = Rs.28000
Answer: B
Answer: B
Question: 20, 22, 26, 34, 41, 46, 56, 67, __?
Options:
A)72
B)80
C)88
D)68
E)78
Rationale: next no. = previous + (sum of digits)
20 + (2+0) = 22
22 + (2+2) = 26
26 + (2+6) = 34
-
-------
56 +(5+6) = 67
67 +(6+7) = 80
ANSWER:B
Answer: B
Question: If -1<x<0, what is the median J of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3
Options:
A)1/x
B)x^2
C)x^2(x+1)/2
D)J=x(x^2+1)/2
E)x^2/2x
Rationale: My approach: Put any value between -1 and 0. you will get the answer. lets say 0.5. so the list will be as follows:
-8,-2,-0.5,-0.125 and last two numbers will be positive so need to see that.
median will be between -0.5 and -0.125.
So, (x^3+x)/2 (D).
Answer: D
Question: Two trains of length 100 meters and 200 meters are 140 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: The speeds are 54000/3600 = 15 m/s and 72000/3600 = 20 m/s
The relative speed is 35 m/s.
time = 140 / 35 = 4 seconds
The answer is B.
Answer: B
Question: A train is moving at a speed of 60km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Options:
A)30sec
B)45sec
C)36sec
D)29sec
E)52sec
Rationale: Speed of the train = 60*5/18 = 50/3 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(50/3) =30sec
Answer is A
Answer: A
Question: In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number Y of employees who take the subway to work?
Options:
A)12
B)13
C)14
D)15
E)16
Rationale: P/3 + F/4 = P/3 + (48-P)/4 = 12 + P/2
P/3 + F/3 = (P+F)/3 = 48/3 = 16
P/4 + F/4 = 12
P/3 + F/3 > P/3 + F/4 > P/4 + F/4
--> 16> 12 + P/12 > 12
GREATEST Possible Y: 12 + p/12 = 15 --> p = 36 ( integer --> good)
15 or D is the answer
Answer: D
Question: The ratio of cats to dogs to birds to fish is 7:8:9:10. There are no other types of animals in the pet store.which of the following cannot be the total number of animals in the store?
Options:
A)68
B)102
C)136
D)170
E)210
Rationale: The parts add up to 7 + 8 + 9 + 10 = 34, so we know that any possible number of total answers must be a multiple of 34. All five answer choices are multiples of 34:
(A) 68= 34*2
(B) 102= 34*3
(C) 136= 34*4
(D) 170= 34*5
(E) 210 = not multiple of 34
Answer: E
Question: A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
Options:
A)3
B)7
C)17
D)31
E)10
Rationale: Solution
Clearly, we have (3+11+7+9+15+13+8+19+17+21+14+x/12)	=12
Number in place of x is
137+x=144
x= 144-137
x= 7.
Answer B
Answer: B
Question: Excluding stoppages, the speed of a train is 42 kmph and including stoppages it is 27 kmph. Of how many minutes does the train stop per hour?
Options:
A)A)19.42
B)B)20.42
C)C)21.42
D)D)22.42
E)E)23.42
Rationale: Explanation:
T = 15/42 * 60 = 21.42
Answer: Option C
Answer: C
Question: Boxes numbered 1, 2, 3, 4 and 5 are kept in a row and they which are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects ?
Options:
A)8
B)10
C)15
D)22
E)25
Rationale: total number arrangement without any restriction is 2^5=32
nymber of arrangement in which blue balls are adjacent =bb,bb,bb,bb,bbb,bbb,bbb,bbbb,bbbb,bbbbb=10
hence required number= 32-10=22
ANSWER:D
Answer: D
Question: Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.32000 is saved. What is Ajayâ€™s income?
Options:
A)Rs.60000
B)Rs.80500
C)Rs.64000
D)Rs.70500
E)None of these
Rationale: Explanation:
Savings = Income â€“ expenditure
100 â€“ (25+5+10+10) = 50%
50% of income = Rs.32000
:. Income = 32000x 100/50 = Rs. 64000.
Answer: Option C
Answer: C
Question: A train 850 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options:
A)510
B)450
C)500
D)520
E)589
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (850 + x)/60 = 65/3
x = 450 m.
Answer: Option B
Answer: B
Question: Today is Monday. After 61 days, it will be:
Options:
A)Sunday
B)Saturday
C)Friday
D)Thursday
E)Wednesday
Rationale: Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Answer :B
Answer: B
Question: If n is a 18-digit positive integer, all of whose digits are the same, which of the following must be true?
I. n is divisible by 3
II. n is divisible by 9
III. n is divisible by 18
Options:
A)I only
B)I , II and III only
C)I and III only
D)II and III only
E)II
Rationale: Rule for divisibility by 3: The sum of the digits of the number should be multiple of 3
Rule for divisibility by 9: The sum of the nos digits of the number should be divisible by 9 or the number should be divisible by 3 two times.
Rules for divisibility by 18: The sum of the digits should a multiple of 18
Consider no 11111111...18 times = The sum 18*1=18----> divisbible by 3,9 and 18
consider number to be 222....18 times, then sum of the no. 18*2=36 divisibly by 3,9 and 18
So why so because when you sum the numbers either you can add the digits 27 times or multiply the digit *18..
Note that since 18 is divisble by 18,9 and 3 and thus the sum of the nos will be divisible by all the nos.
Ans is B
Answer: B
Question: A train is moving at a speed of 120km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
Options:
A)30sec
B)45sec
C)15sec
D)29sec
E)52sec
Rationale: Speed of the train = 120*5/18 = 100/3 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(100/3) =15sec
Answer is C
Answer: C
Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first x stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits x+ a stories in a month earn than a writer who submits x+ b stories?
Options:
A)(a – b)( a + b + x)
B)a – b
C)a^2 – b^2
D)x( a – b)
E)ax + bx – ax
Rationale: total earned for x+a stories =a + a(a+b)
total earned for x+b stories =a+ b(a+b)
difference = a+a(a+b) -a -b(a+b)
=(a+b)(a-b) =a^2-b^2
answer is C
Answer: C
Question: An seller earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 20th day of business, he earns an income of:
Options:
A)29
B)57
C)35
D)20
E)30
Rationale: 2nd day he earns = 3(2 – 1)
3rd day he earns = 3(3 – 1)
On 20th day he earns 3(20 -1) =57 rupees
ANSWER:B
Answer: B
Question: In a lottery, there are 10 prizes and 15 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Options:
A)1/10
B)2/5
C)2/7
D)5/7
E)None
Rationale: Solution
P(getting a prize)	= 10 / (10+15)
‹=› 10 / 25
‹=› 2 / 5.
Answer B
Answer: B
Question: If a man crosses a 600 m long street in 5 minutes. What is his speed?
Options:
A)5.2 km/hr
B)6.5 km/hr
C)7.2 km/hr
D)8.9 km/hr
E)9.8 km/hr
Rationale: distance = 600 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distancetime=600300=2m/s=2×185 km/hr=365 km/hr=7.2 km/hr
C
Answer: C
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Options:
A)1123
B)1234
C)1452
D)1356
E)1365
Rationale: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.
=. Required number of ways = 14C10 = 14C4
= 14!/4!x19! = 1365
E
Answer: E
Question: The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 40 feet on a side. What will be the volume of the new building in cubic feet?
Options:
A)6,983,629 cubic feet
B)15,750 cubic feet
C)11550√3 cubic feet
D)15,750√3 cubic feet
E)3,937,500√3 cubic feet
Rationale: Volume of the Hexagon with side 200 and height 70 = Area * height
= 6*(sqrt(3)/4)(200^2)(70)
Volume of the center bull's eye that is similar in shape of a hexagon but side 50
= 6 * (sqrt(3)/4)(40^2)*70
Volume of the building = 6*(sqrt(3)/4)(200^2)(70) - 6 * (sqrt(3)/4)(40^2)*70
Answer: A
Question: If e is a positive integer, Which of the following options must be divisible by 2?
Options:
A)(e−1)*e*(e+1)
B)e^2*(e−5)
C)e^2*(e−5)
D)(e^2−2)
E)e(e+2)^3
Rationale: option A) (e−1)*e*(e+1) which represents the product of three consecutive integers
the product of 3 consecutive integers is divisible by both 2 and 3.
Answer is A
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 22 overs to reach the target of 282 runs?
Options:
A)6.25
B)11.36
C)7.4
D)5
E)6
Rationale: Explanation:
Runs scored in the first 10 overs = 10 × 3.2 = 32
Total runs = 282
Remaining runs to be scored = 282 - 32 = 250
Remaining overs = 22
Run rate needed = 250/22=11.36
Answer: Option B
Answer: B
Question: Simple interest on a sum at 5% per annum for 2 years is Rs.120. The C.I. on the same sum for the same period is?
Options:
A)81.6
B)81.9
C)121.5
D)121.3
E)121.1
Rationale: SI = 60 + 60
CI = 60 + 60 + 1.5= 121.5
Answer: C
Answer: C
Question: Evaluate: 11110 + 24*3*10 = ?
Options:
A)90111
B)52631
C)11190
D)65321
E)11133
Rationale: According to order of operations, 24?3?10 (division and multiplication) is done first from left to right
24/2 = 8* 10 = 80
Hence
11110 + 24*3*10 = 11110 + 80 = 11190
correct answer C
Answer: C
Question: A car moves at 64 km/hr. What is the speed of the car in meters per second ?
Options:
A)20 2/9m sec
B)17 2/9m sec
C)18 2/9m sec
D)19 2/9m sec
E)28 2/9m sec
Rationale: Explanation:
Speed=(64∗5/18)m/sec
=155/9 m/sec
=17 2/9msec
Option B
Answer: B
Question: In an election between two candidates first candidate got 30% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?
Options:
A)3700 votes
B)4000 votes
C)4900 votes
D)4980 votes
E)4990 votes
Rationale: Total = 100 %,
First person got 30%
second person got remaining 70 % of votes.
than 70 % = 2800
70% = 70Ã—40 = 2800
100% =100Ã—40 =4000 votes
B
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Options:
A)65 sec
B)55 sec
C)48 sec
D)33 sec
E)12 sec
Rationale: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125
= 48 sec.
Answer:C
Answer: C
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car
Options:
A)960 km
B)950 m
C)906 km
D)906 m
E)950 m
Rationale: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
ANSWER A
Answer: A
Question: If k and w are the dimensions of a rectangle that has area 40, and if k and w are integers such that k > w, what is the total number of possible values of k?
Options:
A) Two
B) Three
C) Four
D) Five
E) Six
Rationale: kw=40=40*1=20*2=10*4=8*5=--> k can take 4 values, namely: 8,10,20 and 40
Answer: C.
Answer: C
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Options:
A)15.5 days
B)19.5 days
C)17.5 days
D)16.5 days
E)30 days
Rationale: C = 1/5 – 1/6 = 1/30 => 30 days
ANSWER:E
Answer: E
Question: Randy can rebuild an automobile engine in a hours. Alvin can rebuild the same engine in b hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Randy will not have to complete?
Options:
A)ab/(a+b)
B)(a-b)/(a+b)
C)b/(b-a)
D)a/(a+b)
E)b/(a+b)
Rationale: Let total work completion be denoted as 1.
Randy and Alvin can together complete work in ab/a+b hours.
Randy's 1hr work is 1/a.
Alvin's 1 hr work is 1/b.
Alvin's portion of total work = Alvin's 1hr work /total 1 hr work.
=(1/b)/((a+b)/ab)
=a/(a+b)
That's the portion of work Randy need not do.
ANSWER:D
Answer: D
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)
= H.C.F. of 3360, 2240 and 5600 = 1120.
Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
Answer: Option A
Answer: A
Question: The sum of two numbers is 25 and their difference is 13. Find their product?
Options:
A)104
B)114
C)315
D)325
E)335
Rationale: 114 is the ans
ANSWER:B
Answer: B
Question: A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
Options:
A)1 hour 40 minutes
B)1 hour 38 minutes
C)1 hour 20 minutes
D)1 hour 44 minutes
E)2 hour 20 minutes
Rationale: Let the distance and original speed be d km and k kmph respectively.
d/0.8k - d/k = 20/60 => 5d/4k - d/k = 1/3
=> (5d - 4d)/4k = 1/3 => d = 4/3 k
Time taken to cover the distance at original speed
= d/k = 4/3 hours = 1 hour 20 minutes.
Answer: C
Answer: C
Question: Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/2, what percent of the total number of the remaining employees would then be clerical?
Options:
A)25%
B)22.2%
C)20%
D)12.5%
E)11.1%
Rationale: Let's see, the way I did it was
1/3 are clerical out of 3600 so 1200 are clerical
1200 reduced by 1/2 is 1200*1/2
so it reduced 600 people , so there is 600 clerical people left
but since 600 people left, it also reduced from the total of 3600 so there are 3000 people total
since 600 clerical left / 3000 people total
you get (C) 20%
Answer: C
Question: Find the odd man out. 445, 221, 109, 46, 25, 11, 4
Options:
A)25
B)109
C)46
D)221
E)None of these
Rationale: Explanation :
To obtain next number, subtract 3 from the previous number and divide the result by 2
445
(445-3)/2 = 221
(221-3)/2 = 109
(109-3)/2 = 53
(53-3)/2 = 25
(25-3)/2 = 11
(11-3)/2 = 4
Clearly, 53 should have come in place of 46. Answer : Option C
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)28%
B)72%
C)12%
D)82%
E)16%
Rationale: Original price = 100
CP = 80
S = 80*(160/100) = 128
100 - 128 = 28%
Answer:A
Answer: A
Question: A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
Options:
A)37.9
B)37.2
C)37.1
D)37.82
E)37.8
Rationale: Assume the circumference of the circle is 200 meters. Hare and tortoise started at the same point but moves in the opposite direction. It is given that by that time tortoise covered 40 m (1/5th of the distance), Hare started and both met after hare has covered 25. This implies, in the time hare has covered 25m, hare has covered 200 - 40 - 25 = 135 meters.
So Hare : tortoise speeds = 25 : 135 = 5 : 27
Now Hare and tortoise has to reach the starting point means, Hare has to cover 175 meters and Tortoise has to cover only 25 meters in the same time.
As time =DistanceSpeed=2527=1755×KDistanceSpeed=2527=1755×K
Ie., Hare has to increase its speed by a factor K. Solving we get K = 37.8
Answer:E
Answer: E
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Options:
A)5767
B)5760
C)5788
D)5768
E)5769
Rationale: 1/x - 1/6
= -1/8
x = 24 hrs
24 * 60 * 4
= 5760
Answer:B
Answer: B
Question: Find the average of all prime numbers between 4 and 15.
Options:
A)30
B)4
C)9
D)8
E)None
Rationale: Sol.
There are four prime numbers between 4 and 15.
They are 5, 7, 11, 13
âˆ´ Required average = [5 + 7 + 11 +13 / 4] = 36/ 4 = 9
Answer C
Answer: C
Question: A sports equipment store sold ping pong rackets for a total of $588. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Options:
A)50
B)60
C)490
D)500
E)980
Rationale: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $588
x = 60 pairs were sold.
ANSWER:B
Answer: B
Question: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Options:
A)1 hours
B)2 hours
C)3 hours
D)4 hours
E)5 hours
Rationale: In 30 minutes the man would have droven 20 miles, when his wife starts. Now both are driving in the same direction. So speed of wife related to man is 10(50-40) miles/hr. So wife will cover 20 miles in 2 hours to meet the man.
ANSWER:B
Answer: B
Question: Of the 800 employees of Company X, 20 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 10 percent ?
Options:
A)88.88
B)160
C)112
D)80
E)56
Rationale: The # oflong-termemployees is 20%*800=160.
After y of them retire new # oflong-termemployees would become 160-y.
Total # of employees would become 800-y.
We want 160-y to be 10% of 800-y --> 160-y=(800 -y)*10% --> y = 88.88.
Answer: A.
Answer: A
Question: Find the odd number
Options:
A)21
B)17
C)3
D)14
E)12
Rationale: Each of the numbers except 14 is an odd number.
The number '14' is the only EVEN number.
answer :D
Answer: D
Question: Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Options:
A)Rs.157
B)Rs.150
C)Rs.117
D)Rs.119
E)Rs.127
Rationale: A+B+C = 590
5A = 6B = 8C = x
A:B:C = 1/5:1/6:1/8
= 24:20:15
15/59 * 590 = Rs.150
Answer:B
Answer: B