divelab/Sys2Bench huggingface dataset:
Question: A woman traveled 20 kilometer in 14 meter per second and another 20 kilometer in 18 miles per second. what is the average speed of the entire trip?
Options:
A)12.25
B)13.75
C)15.75
D)18.25
E)19.75
Rationale: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X14X18/32= 15.75. 'C' is the answer.
Answer: C
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 21 years. The present age of the husband is
Options:
A)40
B)38
C)45
D)55
E)65
Rationale: Explanation:
Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3) years = 90 years.
Sum of the present ages of wife and child = (21 * 2 + 5 * 2) years = 52 years.
Husband's present age = (90 - 52) years = 38 years
Option B
Answer: B
Question: Some of 45%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
Options:
A)2/5
B)1/4
C)1/5
D)1/7
E)2/3
Rationale: Let total paint = 1
Let amount replaced = x
45 (1-x) + 25x = 40
x = 1/4
ANSWER:B
Answer: B
Question: A train running at a speed of 60 kmph crosses a pole in 15 seconds.What is the length of the train?
Options:
A)120 m
B)180 m
C)190 m
D)250 m
E)160 m
Rationale: 60 kmph=50/3 m/sec
50/3*15=250 m
ANSWER:D
Answer: D
Question: Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 6 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
Options:
A)2y
B)4y
C)11/3y
D)6y
E)10y
Rationale: Anthony performed for 14 days meansw Cindy performed for(14-6)=8 days.
If Cindy gives y dollars to Anthony their Daily rate will be equal.It means
(x+y)/14=(x-y)/8
Solving we get, x=11/3y
Now Anthony's Advance is x=11/3y .So answer should be C.
Answer: C
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
Options:
A)1 : 3
B)2 : 3
C)2 : 1
D)3 : 5
E)3 : 7
Rationale: Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10
Required ratio = 20 : 10 = 2 : 1
C
Answer: C
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Options:
A)1/3
B)1/5
C)10/35
D)6/28
E)5/21
Rationale: The total number of ways to choose 3 shirts from 7 is 7C3 = 35
The number of ways to choose a pink shirt plus 2 shirts from 5 is 5C2 = 10
P(a pink shirt but not a blue shirt) = 10/35 = 2/7
The answer is C.
Answer: C
Question: A car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Options:
A)9
B)16
C)21
D)22
E)27
Rationale: Let the speed in highway be h mpg and in city be c mpg.
h = c+6
h miles are covered in 1 gallon
462 miles will be covered in 462/h.
Similarly c miles are covered in 1 gallon
336 miles will be covered in 336/c.
Both should be same (as car's fuel capacity does not change with speed)
=> 336/c = 560/h
=> 336/c = 560/(c+6)
=> 336c+336*6=560c
=>c=336*6/224=9
Answer A.
Answer: A
Question: 287 x 287 + 269 x 269 - 2 x 287 x 269 = ?
Options:
A)534
B)446
C)354
D)324
E)None of these
Rationale: Given Exp.	= a2 + b2 - 2ab, where a = 287 and b = 269
= (a - b)2 = (287 - 269)2
= (182)
= 324
Answer: Option D
Answer: D
Question: The sum of four consecutive even numbers is 292. What would be the smallest number?
Options:
A)49
B)68
C)60
D)57
E)number 70
Rationale: E
70
Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest number is: 2(x - 2) = 70.
Answer: E
Question: The average of 6 no.'s is 2.5. The average of 2 of them is 1.1, while the average of the other 2 is 1.4. What is the average of the remaining 2 no's?
Options:
A)2.3
B)2.6
C)3.6
D)4.5
E)5
Rationale: Sum of the remaining two numbers = (2.5 * 6) - [(1.1 * 2) + (1.4 * 2)]
= 15 - (2.2 + 2.8) = 15 - 5 = 10
Required average = (10 / 2) = 5
Answer : E
Answer: E
Question: In a recent election, Ms. Robbins received 5,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Options:
A)0.06N + 3,200
B)0.06N + 5,000
C)0.4N + 7,200
D)0.1N + 8,000
E)0.06N + 8,000
Rationale: total vote = N
vote cast by independent voters = 0.4 N
vote cast by registered voters = 0.6 N
vote received by Ms. Robbins = 5000 + 10% of vote be registered voters = 5000 + 0.06 N
Answer choice B
Answer: B
Question: If y = 30p, and p is prime, what is the greatest common factor of y and 6p, in terms of p?
Options:
A)p
B)2p
C)5p
D)6p
E)p^2
Rationale: Y=30p
other number is 6p
then GCF(30p,6P)=6P; D is the correct answer
Answer: D
Question: M = {-6, -5, -4, -3, -2}
T = {-2, -1, 1, 2, 3, 4}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Options:
A)0
B)1/3
C)2/5
D)1/2
E)4/5
Rationale: Answer E.
Total # of outcomes: 5*6= 30
# of outcomes where Product is -ve : (-6,1) ,(-6,2), (-6,3)... Hence, total: 24
Probability: 24/30 = 4/5
Answer: E
Question: In an election contested by two parties, Party X secured 20% of the total votes more than Party Y. If party Y got 130,000 votes, by how many votes did it lose the election?
Options:
A)26,000
B)40,000
C)65,000
D)220,000
E)100,000
Rationale: X + Y = 100 ---- (1)
X - Y = 20 ---- (2)
Solving (1) and (2) X = 60% and Y = 40%
45% of Total = 130000
Total = 325000
x = 195000
Difference = 195000 - 130000 = 65000
Answer: C
Answer: C
Question: It takes Avery 3 hours to build a brick wall while Tom can do it in 4 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Options:
A)25 minutes.
B)55 minutes.
C)1 hour and 41 minutes
D)1 hour and 35 minutes
E)1 hour and 20 minutes
Rationale: Avery's efficiency is 100/3 = 33%
Tom's = 100/4= 25%
they worked together for 1 hour and finished 58% of the job
remaining =42 %
Tom will complete 25% in 60 minutes , and
17% in 60*17/25 minutes = 40.8 minutes
Time taken by Tom to finish the remaining on his own = 60+40.8 = 100.8 minutes (adjusting for 0.2) ~ 101 minutes
ANSWER:C
Answer: C
Question: In a village of 100 households, 70 have at least one DVD player, 80 have at least one cell phone, and 60 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
Options:
A)65
B)50
C)45
D)35
E)25
Rationale: Am I missing something here??? it seems straightforward......
The obvious maximum that have all 3 is 60, because you are limited by the SMALLEST number.
The minimum is simply the sum of the max of each people who DONT have the product, so:
100-80 = 20 don't have Cell
100-70 = 30 don't have DVD
and 100-60 = 40 don't have MP3
SO a total of 20+30+40 = 90 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get 100-90 = 10.
60-10 = 50
B
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
Options:
A)15
B)19
C)14
D)18
E)16
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 45/3 = 15 kmph.
Answer:A
Answer: A
Question: Carina has 130 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Lets say 5 and 10 ounce packages be x and y respectively.
Given that, 5x+10y=130 and x=y+2. What is the value of y.
Substituting the x in first equation, 5y+10+10y=130 ->y=120/15.=8
D
Answer: D
Question: The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
Options:
A)8 hours
B)6 hours
C)4 hours
D)5 hours
E)6 hours
Rationale: Still Water=12km/hr
Downstream=45/3=15km/hr
Upstream=>> still water=(u+v/2) =>> 12=u+15/2 = 9km/hr
So time taken in upstream = 45/9 =5hrs
ANSWER:D
Answer: D
Question: The sale price sarees listed for Rs.510 after successive discount is 12% and 15% is?
Options:
A)298
B)237
C)342
D)381
E)291
Rationale: 510*(88/100)*(85/100)
= 381
Answer: D
Answer: D
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
Options:
A)28
B)77
C)22
D)44
E)12
Rationale: Let the son's present age be x years. Then, man's present age = (x + 24) years
=> (x + 24) + 2 = 2(x + 2)
=> x + 26 = 2x + 4
So, x = 22
Answer: C
Answer: C
Question: The speeds of 3 trains in the ratio 10:15:20. The ratio between time taken by them to travel the same distance is?
Options:
A)6:4:3
B)1:2:3
C)4:8:9
D)6:5:2
E)4:8:7
Rationale: Ratio of time taken is = 1/10 : 1/15 : 1/20 = 6:4:3
Answer is A
Answer: A
Question: A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
Options:
A)700
B)710
C)720
D)730
E)740
Rationale: 60% of oranges = 420
100% of oranges =(420×100)/6=700
total oranges = 700
ANSWER : A
Answer: A
Question: A, B and C can do a work in 15,20,45 days respectively. In how many days they can complete the work together.
Options:
A)5.2 days
B)9.2 days
C)8.2 days
D)6.2 days
E)7.2 days
Rationale: LCM=180
No of days= [180/ (180/15 + 180/20 + 180/45)
= [180/ (12+9+4)]
= [180/25]
= 7.2 days
ANSWER:E
Answer: E
Question: How long will it take for a sum of money to grow from Rs.10000 to Rs.20,000, if it is invested at 25% p.a simple interest?
Options:
A)4 years
B)64 years
C)72 years
D)56 years
E)None
Rationale: In this case, Rs. 10000 has become Rs.20000.
Therefore, the interest earned = 20000 – 10000 =10000
Interest for Rs 10000 @ 25% for 1 year = 2500
2500 - 1
10000 - ? => 4 years
Answer : A
Answer: A
Question: Find the sum of all odd number upto 250.
Options:
A)15345
B)15645
C)15625
D)15342
E)15683
Rationale: Explanation:
Number of odd numbers upto 250 = n/2 = 250/2 = 125
Sum of first 125 odd numbers = (125)2
= 15625
Answer: Option C
Answer: C
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of six metres is left from all sides of the boundary of the garden. What is the length of the garden?
Options:
A)32
B)34
C)26
D)28
E)30
Rationale: Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 6 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 Ã— 2) + 6 + 6 = 34 meter
Answer is B.
Answer: B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)2387
B)209
C)240
D)278
E)121
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: C
Answer: C
Question: An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed?
Options:
A)70%
B)85%
C)80%
D)75%
E)65%
Rationale: Explanation:
Let the weight of full bottle be 6kg.
Therefore, weight of empty bottle is 1kg and that of water is 5kg.
If x% of water is removed, the weight of the bottle becomes 2kg.
Therefore, the amount of water removed is 4kg.
% of water removed = 4/5 *100 = 80%
ANSWER C
Answer: C
Question: By selling 100 pens, a trader gains the cost of 40 pens. Find his gain percentage?
Options:
A)40%
B)50%
C)60%
D)70%
E)30%
Rationale: Let the CP of each pen be Rs. 1.
CP of 100 pens = Rs. 100
Profit = Cost of 40 pens
= Rs. 40
Profit% = 40/100* 100
= 40%
Answer: A
Answer: A
Question: A train passes a man standing on the platform. If the train is 150 meters long and its speed is 54 kmph, how much time it took in doing so?
Options:
A)10 sec
B)13 sec
C)14 sec
D)15 sec
E)16 sec
Rationale: D = 150
S = 54 * 5/18 = 15 mps
T = 150/15 = 10 sec
Answer:A
Answer: A
Question: How many three digit numbers that do not contain the digit 3 are there?
Options:
A)100
B)200
C)648
D)680
E)729
Rationale: Applying combinations....8 * 9 * 9 = 648...
8 for first digit...cant be 0 or 3
9 and 9 for 2nd and 3rd....cant be 3
ANSWER: C
Answer: C
Question: In the construction of a house, some persons can do a piece of work in 8 days. Four times the number of such persons will do half of that work in :
Options:
A)1 day
B)2 days
C)3 days
D)4 days
E)None of these
Rationale: Explanation :
Solution: Let x men can do the work in 8 days and the required number of days be z.
More men, less days (IP)
Less work, less days (DP)
men 4x : x
} : : 8 : z
Work 1 : 1/2
.'. (4x*1*z) = (x*1/2 * 8)
=> z = 1
Answer : A
Answer: A
Question: Albert invested an amount of Rs.8000 in a FD scheme for 2yrs at CI rate 5 p.c.p.a. How much amount will Albert get on maturity of the FD?
Options:
A)Rs. 7000
B)Rs. 7020
C)Rs. 7900
D)Rs. 8000
E)Rs. 8820
Rationale: Amount
= Rs. 8000 x 1 +	5 2
100
= Rs. 8000 x	21	x	21
20	20
= Rs. 8820.
E
Answer: E
Question: How many multiples of 13 are less than 6000, and also multiples of 16?
Options:
A)30
B)29
C)34
D)32
E)33
Rationale: LCM of 13 & 16 = 208
Tried dividing 6000 by 208
Got quotient 28.84'So B is answer
Answer: B
Question: The salary of a worker is first increased by 25% and afterwards reduced by 25%. What is the net change in the worker's salary?
Options:
A)3.25% increase
B)3.25% decrease
C)6.25% increase
D)6.25% decrease
E)no change
Rationale: Let x be the original salary.
The final salary is 0.75(1.25x) = 0.9375x
The answer is D.
Answer: D
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Options:
A)7
B)4
C)6
D)9
E)3
Rationale: M = 45
S = 1.5
DS = 6
US = 3
AS = (2 * 6 * 3) /9 = 4
Answer:B
Answer: B
Question: If M : N = 1 : 2, N : O = 2 : 3 and O : P = 4 : 5, then M : N : O : P is :
Options:
A)2 : 4 : 6 : 7
B)4 : 2 : 6 : 7
C)12 : 15 : 8 : 4
D)4 : 8 : 12 : 15
E)None of these
Rationale: Explanation :
Solution: M : N = 1 : 2, N : O = 2 : 3, O : P = 4 : 5 = (4 *3/4 : 5 * 3/4) = 3 : 15/4.
.'. M : N : O : P = 1 : 2 : 3 : 15/4 = 4 : 8 : 12 : 15
Answer : D
Answer: D
Question: In how many ways can the letters of the word EDUCATION be arranged?
Options:
A)2580
B)2500
C)2000
D)2520
E)362880
Rationale: EDUCATION has 9 words. Thus ways = 9! = 362880 ways
E
Answer: E
Question: A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Options:
A)1210
B)2772
C)2678
D)2672
E)2992
Rationale: π (232 – 122) = 1210
Answer:A
Answer: A
Question: Aunt Mary owns a bakery where she sells lemon cakes for R dollars a piece. Each lemon cake is made with S kgs of flour, and T kgs of lemon. At the local market, flour is sold at U dollars per kg, and lemon at V dollars per kg.
How much profit has she made, after selling W lemon cakes?
Options:
A)WSU-TVR
B)WR-WTV-WSU
C)WTV+WR+WSU
D)W(TU-SV-R)
E)R(W+UV+TV)
Rationale: The cost of lemon used for one cake=TV dollars
The cost of flour used for one cake= SU dollars
Then, the cost price=W(TV+SU) dollars
The selling price= RW dollars
So, the profit= RW-W(TV+SU) dollars
The answer is B!!
Answer: B
Question: X starts a business with Rs.45000. Y joins in the business after 5 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Options:
A)1:2
B)2:1
C)1:3
D)3:1
E)18:7
Rationale: Explanation:
Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000Ã—12:30000Ã—7
=45Ã—12:30Ã—7
=3Ã—12:2Ã—7
=18:7
Answer: Option E
Answer: E
Question: Each of the three people individually can complete a certain job in 4, 6, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Options:
A)3/8
B)5/12
C)7/24
D)11/36
E)13/48
Rationale: The two slowest people work at rates of 1/6 and 1/8 of the job per hour.
The sum of these rates is 1/6 + 1/8 = 7/24 of the job per hour.
The answer is C.
Answer: C
Question: If x is an integer and y = 3x + 11, which of the following CANNOT be a divisor of y?
Options:
A)4
B)5
C)3
D)7
E)8
Rationale: For any value of x, the expression 3x + 11 would never be divisible by 3,6,9...... onwards
So answer = 3 = C
Answer: C
Question: A volunteer organization is recruiting new members. In the fall they manage to increase their number by 6%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Options:
A)-16.16%
B)-15.15%
C)-14.14%
D)-13.13%
E)-12.12%
Rationale: (100%+6%)*(100%-19%) = 1.06*.81 = 0.8586.
1-0.8586 = 14.14% lost = -14.14%
The Answer is C
The organization has lost 14.14% of its total volunteers from fall to spring.
Answer: C
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 25% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Options:
A)8°
B)10°
C)18°
D)33°
E)52°
Rationale: Here all percentage when summed we need to get 100% . As per data 14+25+15+29+8 = 91%.
So remaining 9% is the balance for the astrophysics.
Since this is a circle all percentage must be equal to 360 degrees.
100% ---- 360 degrees
Then 9% will be 33 degrees..
IMO option D.
Answer: D
Question: The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 60 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
Options:
A)190/(30+10A)
B)190/(30+60A)
C)190/31A
D)220/(30+10A)
E)220/40A
Rationale: Since we are dealing with the variables in the answer choices,the best possible method according to me would be substitution.
Substitute A with 3.meaning tommy would have travelled a distance of ((160-60) + (160-70)) in 60 minutes.
190 Kms in 60 minutes ==> 3.1km/hr.
Substitute A with 3 in the answer options.
Option A
Answer: A
Question: A car travells the first 1/3 of certain distance with a speed of 7km/hr the next 1/2 distance witha a speed of 12 km/hr, and the last 1/4 distance with a speed of 16 km/hr. the average speed of the carfor the whole journey is?
Options:
A)9.53km/hr
B)56.89km/hr
C)8.96km/hr
D)7.96km/hr
E)25.86km/hr
Rationale: Let the whole distance travelled be x km
and the average speed of the car for he whole journey be y km/hr
then (x/3)/7+(x/2)/12+(x/4)/16=x/y
x/21+x/24+x/64=x/y
y=9.53km/hr
Answer(A)
Answer: A
Question: Mr. Suresh is on tour and he has 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by 3. The number of days of Mr. Suresh’s tour programme is :
Options:
A)20 days
B)24 days
C)40 days
D)42 days
E)None of these
Rationale: Let Suresh undertakes a tour of x days.
Then, expenses for each day = 360⁄x
now, 360/x+4=360/x−3
or 360(1/x−1/x+4)=33
or x2 + 4x - 480 = 0 or x = – 24 or x = 20
Since, x ≠ -24 we have x = 20
Answer A
Answer: A
Question: A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
Options:
A)Rs.400/-
B)Rs.420/-
C)Rs.440/-
D)Rs.460/-
E)Rs.480/-
Rationale: 100 % ------> 400 (100 * 4 = 400)
120 % ------> 480 (120 * 4 = 480)
Selling price = Rs.480/-
E
Answer: E
Question: Lindsay can paint 1/x of a certain room in 40 minutes. What fraction of the same room can Joseph paint in 40 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Options:
A)2/3x
B)3x/(x – 3)
C)(2x – 3) / 3x
D)1/ (x – 3)
E)(x – 3) / x
Rationale: Lindsey and Joseph together can paint the room in 1 hour
in 40 mins they can paint 2/3 part of the room.
Lindsay alone paints 1/x part of the room in 40 mins
Take Joseph paints 1/y parts in 40 mins
1/x + 1/y = 2/3
1/y = 2/3 - 1/x = (2x-3)/3x ANs C
Answer: C
Question: If a stationery store owner buys 50% more identically-priced calendars than she usually purchases, she will be given a 20% discount off the standard price. Her total cost would then be 120 times the dollar value of the standard price of one calendar. How many calendars does she usually purchase?
Options:
A)40
B)80
C)100
D)120
E)140
Rationale: Let the Price is x per item
and the final number of items she bought is y items
So to buy y items , the cost will be .8x (80% of original price , since there is a 20% discount on it)
120*x = y*0.8*x
Solving we get y =150
now to get the discount she bought 50% more than what she usually buys
So the number of items she usually buys is 50% less than 150
i.e. original number of items she usually buys is = 150*(100/150) = 100
Hence Answer is (C)
Answer: C
Question: A woman has three blouses of different colors, five skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Options:
A)8
B)12
C)28
D)17
E)18
Rationale: total ways = 3*5*2=30..
now its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer..
the ways in which the pink blouse and green skirt are together=1*1*2=2..
total ways =30-2=28..
ANSWER:C
Answer: C
Question: A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 12 minutes, a combustion reaction creates 12,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
Options:
A)20
B)60
C)600
D)1,000
E)1,200
Rationale: Solution:
12,000 carbon dioxide molecules are created over a period of 12 minutes. Therefore 12,000/12 = 1,000 carbon dioxide molecules are created on average per minute
Each carbon dioxide molecule contains one carbon atom and two oxygen atoms. So 1,000 carbon dioxide molecules contain 1 × 1,000 = 1,000 carbon atoms and 2 × 1,000 = 2,000 oxygen atoms. The difference is 2,000 – 1,000 = 1,000.
The correct answer is D.
Answer: D