divelab/Sys2Bench huggingface dataset:
Question: A city with a population of 126,160 is to be divided into 7 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Options:
A)16,500
B)16,600
C)16,700
D)16,800
E)16,900
Rationale: The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district.
Let p be the population of the least populated district.
Then 126,160 = p + 6(1.1)p
7.6p=126,160
p = 16,600
The answer is B.
Answer: B
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is
Options:
A)18 runs
B)28 runs
C)48 runs
D)42 runs
E)46 runs
Rationale: Explanation:
Let average for 10 innings be x. Then,
(10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42.
New average = (x + 6) = 48 runs.
Answer: C
Answer: C
Question: The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is
Options:
A)9 years
B)15 years
C)18 years
D)21 years
E)None
Rationale: Sol.
Total age of 3 boys = (25 x 3) years = 75 years.
Ratio of their ages = 3 : 5 : 7.
Age of the youngest = (75 x 3/15)years = 15 years.
Answer B
Answer: B
Question: A certain sum of money at simple interest amounted Rs.945 in 9 years at 3% per annum, find the sum?
Options:
A)338
B)744
C)749
D)788
E)261
Rationale: 945 = P [1 + (9*3)/100]
P = 744
Answer:B
Answer: B
Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
A)450m
B)200m
C)250m
D)270m
E)300 m
Rationale: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m
ANSWER:A
Answer: A
Question: Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 9. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
Options:
A) 1
B) 3
C) 4
D) 5
E) 6
Rationale: Since Bianca and Callie are both within 1 jelly bean of each other and Aaron has 5, Dante must provide 3 of his 9 jelly beans so each child has no more than 1 fewer jelly bean than any other child.
Dante + Aaron = 9+5 =14/2 = 7
9-8 = 1 so Dante must provide 3 jelly beans to Aaron.
Answer (A)
Answer: A
Question: If 0 < m < 1 < n< 5, which of the following must be less than 1? I.m/n II. mn III. n - m
Options:
A)I,III only
B)III,II only
C)III only
D)I only
E)II only
Rationale: n > 1. So, option II, III is not possible.
So, Option I is correct.
Answer : D
Answer: D
Question: An error 10% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
Options:
A)6.64%
B)16.64%
C)15.64%
D)21%
E)10.64%
Rationale: Percentage error in calculated area
=(10+10+(10Ã—10)/100)%=21%
ANSWER:D
Answer: D
Question: What is the HCF of 2/3, 5/9 and 6/5
Options:
A)1/45
B)2/45
C)4/15
D)8/45
E)9/45
Rationale: Explanation:
HCF of Fractions = HCF of Numerators/LCM of Denominators
= (HCF of 2, 5, 6)/(LCM of 3, 9, 5) = 1/45
Answer: Option A
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Options:
A)65 Kmph
B)68 Kmph
C)19 Kmph
D)78 Kmph
E)98 Kmph
Rationale: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer:B
Answer: B
Question: Which of the following must be subtracted from 2^120 so that the resulting integer will be a multiple of 3?
Options:
A)8
B)6
C)3
D)5
E)1
Rationale: {4^1} / 3 =4/3 remainder 1
{4^2} / 3 = 16/3 remainder 1
{4^3} / 3 = 64/3 remainder 1
{4^4} / 3 = 256/3 remainder 1
Actually the same remainder keeps repeating .....
Try with a diff no, say 2
{2^1}/3 = remainder 2
{2^2}/3 = remainder 1
{2^3}/3 = remainder 2
{2^4}/3 = remainder 1
Answer : E
Answer: E
Question: A room of 2m 40cm long and 4m 20cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Options:
A)23
B)25
C)28
D)60
E)240
Rationale: Explanation:
area of the room = 240* 420sq cm
size of largest square tile = H.C.F of 240cm and 420cm= 60cm
area of 1 tile = 60*60 sq cm
no. of tiles required = (240*420) / (60 * 60) = 28
Answer: C) 28
Answer: C
Question: Mr. Yutaro’s class contains 12 boys and 4 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
Options:
A)9/48
B)9/20
C)11/24
D)2/15
E)13/16
Rationale: Probability of a girl being chosen first, then a girl:
4/16 * 12/15
Probability of a boy being chosen first, then a boy:
12/16 * 4/15
Probability of a boy and a girl being chosen:
(4*12+12*4) / (15*16)
=2/15
Answer:D
Answer: D
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Options:
A)87 cm2
B)28 cm2
C)98 cm2
D)26 cm2
E)45 cm2
Rationale: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle
= 2.5 * 36/2
= 45 cm2
Answer:E
Answer: E
Question: For what value(s) of n is the following equation satisfied: 2n-6-5n = 5n+7-4n
Options:
A)a. -5/4
B)b. -13/4
C)c. 5/4 only
D)d. No value
E)e. Any value
Rationale: 2n-6-5n = 5n+7-4n
-3n - 6 = n + 7
-13 = 4n,
n=13/4
Answer: B.
Answer: B
Question: 8 men can dig a pit in 20 days. If a man works half as much again a s a boy, then 4 men and 9 boys can dig a similar pit in:
Options:
A)10 days
B)12 days
C)15 days
D)16 days
E)20 days
Rationale: Explanation:
1 work done = 8 × 20
1 man = 3/2 Boys
1 boy = 2/3 men
Then, 9 boys = 9 × 2/3 men = 6 men
Then, 4 men + 9 boys = 10 men
Then, 8 × 20 = 10 × ?days
? days = 8 × 20/10 = 16 days.
Answer: Option D
Answer: D
Question: If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 2
II. 1
III. 0
Options:
A)II only
B)III only
C)I and II only
D)II and III only
E)I, II and III
Rationale: Notice that we are told that n is a prime number and n ≠ 3. Thus, n cannot be 1.
n also cannot be 6 or any other multiple of 3, thus the remainder cannot be 0.
It can be 1 for n=2 and 2 for n=5.
Answer: C.
Answer: C
Question: One pump drains one-half of a pond in 5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Options:
A)1 hour
B)1.1 hour
C)3 hours
D)5 hours
E)6 hours
Rationale: First pump drains 1/2 of the tank in 5 hours
so 10 hours it will take to drain the full tank.
Let, 2nd pump drains the full tank in a hours
so both together can drain (1/10+1/a) part in 1 hour
son in 1/2 hour they drain 1/2*(1/10+1/a) part of the tank
given that in 1/2 hour they drain 1/2 of the tank
hence we can say
1/2*(1/10+1/a) = 1/2
solving u get a = 10/9=1.1
Hence answer is B
Answer: B
Question: The H.C.F. of two numbers is 30 and the other two factors of their L.C.M. are 15 and 12. The larger of the two numbers is
Options:
A)476
B)399
C)450
D)322
E)None
Rationale: Solution
Clearly, the numbers are (30 x 15) and (30 x 12).
Larger number = (30 x 15)	= 450.
Answer C
Answer: C
Question: If a number is chosen at random from the set of first 20 natural numbers, The probability that it is either an even number or a prime number is?
Options:
A)15/20
B)8/20
C)10/20
D)17/20
E)18/20
Rationale: Explanation:
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20
Answer is D
Answer: D
Question: If 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Options:
A)125
B)187
C)231
D)375
E)460
Rationale: If two lines are not parallel, then they will intersect in exactly one point. Lines can be extended infinitely on both ends so somewhere they will intersect with each other if they are not parallel. We are also given that no three lines are concurrent. This means that no three lines intersect at the same point. So every pair of two lines we select will have a unique point of intersection which they will not share with any third line.
The number of ways to select 2 lines from 22 lines is 22C2 = 231
The answer is C.
Answer: C
Question: If p is a natural number and p! ends with f trailing zeros, then the number of zeros that (5p)! ends with will be
Options:
A)a) (p+f) trailing zeros
B)b) (5p+y) trailing zeros
C)c) (5p+5y) trailing zeros
D)d) (p+5y) trailing zeros
E)e) none of them above
Rationale: Let p = 1. p! = 1! = 1, which means f= 0
(5p)! = 5! = 120, trailing zeros = 1
1 = 1 + 0 = p + f
Answer (A).
Answer: A
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Options:
A)1/10
B)8/15
C)6/15
D)1/15
E)none of the above
Rationale: Ans is:B
A's 1 day's work =1/15
B's 1 day's work =1/20
(A + B)'s 1 day's work =(1/15+1/20)=7/60
(A + B)'s 4 day's work =(7/60*4)=7/15
Therefore, Remaining work =(1-7/15)=8/15
Answer: B
Question: (4300731)-! = 2535618. Find value of !?
Options:
A)1213441
B)2354546
C)4354556
D)2435454
E)1765113
Rationale: Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113
E
Answer: E
Question: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Options:
A)26 minutes
B)20 minutes
C)17 minutes
D)16 minutes
E)18 minutes
Rationale: Explanation:
Let the total distance to be covered is 84 kms.
Time taken to cover the distance without stoppage = 84/42 hrs = 2 hrs
Time taken to cover the distance with stoppage = 84/28 = 3 hrs.
Thus, he takes 60 minutes to cover the same distance with stoppage.
Therefore, in 1 hour he stops for 20 minutes.
Answer: B
Answer: B
Question: Mrs. A. invested $45,000; part at 5%, and part at 8%. The total interest on the investment was $3,150. How much did she invest at each rate?
Options:
A)x=$15,000, y =$30,000
B)x=$12,000, y =$24,000
C)x=$8,000, y =$16,000
D)x=$10,000, y =$20,000
E)x=$13,000, y =$26,000
Rationale: I approached this question like a mixture problem.
I don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.
Anyway here's how I did it.
0.05(x) + 0.08(y) = 0.07(x+y)
0.01(y) = 0.02(x)
y = 2x
Note: 0.07(x+y) because $3,150 is 7% of 45,000
In which answer choice is y = 2(x)
Answer A
Answer: A
Question: Certain stocks in January were 40% less than they were in February and 15% greater than they were in March. What was the percentage decrease in the stocks from February to March?
Options:
A)50.81%
B)15.11%
C)20.7%
D)48.8%
E)40%
Rationale: Let stocks value in Feb = 100 => In Jan = 60 and March = 60 * 100/115 = 51.2%
Thus, percent decrease in stocks from Feb to March = 100 - 51.2 = 48.8%
Hence Answer is D
Answer: D
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Options:
A)Rs. 15100
B)Rs. 15200.
C)Rs. 15500
D)Rs. 15000.
E)Rs. 15300
Rationale: Principal = Rs.	(100 x 5400/12 x 3)	= Rs. 15000.
Option D
Answer: D
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies R and Y . The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie R?
Options:
A)5
B)10
C)15
D)20
E)25
Rationale: The ratio of p to V in smothie R is 4 is to 1 and that in Y is 1is to 5. p1 + p2 = 24
v1 + v2 = 25
p1 = 4v1
p2 = v2/5
4v1 + v2/5 = 24
v1 + v2 = 25
4v2 - v2/5 = 76
19v2/5 = 76 => v2 = 20
=> v1 = 5
=> p1 = 20
Answer - D
Answer: D
Question: The cost of 4 bags and 12 purses is Rs.820, what is the cost of 10 bags and 30 purses?
Options:
A)Rs.2600
B)Rs.3500
C)Rs.2050
D)Rs.3900
E)None of these
Rationale: Explanation:
Cost of 4 bags + 12 purses = Rs.820
Multiply each term by 5/2, we get,
Cost of 10 bags + 30 purses = Rs.2050.
Answer: Option C
Answer: C
Question: If the area of a circle decreases by 66%, then the radius of a circle decreases by
Options:
A)20%
B)18%
C)36%
D)64%
E)None of these
Rationale: If area of a circle decreased by x % then the radius of a circle decreases by
(100−10√100−x)%=(100−10√100−66)%
= (100−10√64)%
= 100 - 58 = 42%
Answer E
Answer: E
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 35 is a prime number, when each of the given numbers is equally likely to be selected?
Options:
A)10/35
B)11/35
C)8/35
D)3/35
E)7/35
Rationale: Let X be the event of selecting a prime number.
X = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}
n(X) = 11,
n(S) = 35
Hence, the required probability is 11/35.
ANSWER:B
Answer: B
Question: Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 4.2 meters high. What is Mr. Wayne's speed in meters per second?
Options:
A)3
B)3.75
C)4
D)5.25
E)5
Rationale: IMO: D
15 Floors * 4.2 Meter/Floor = 63 Meters
Time= 12 sec
Rate * 12 = 63
Rate= 63/12
=5.25
Answer D
Answer: D
Question: If b<0, which of the following represents a positive number?
Options:
A)|b|b
B)b/ |b|
C)b|b|
D)|b|/b
E)-b|b|
Rationale: Answer : E
Answer: E
Question: What should come in place of the question mark (?) in the following number series?
11 19 29 41 55 ?
Options:
A)69
B)70
C)71
D)72
E)73
Rationale: The numbers increase by 8, 10, 12, 14,...
The next number should be 55+16 = 71
The answer is C.
Answer: C
Question: A boy was asked to find 7/9 of a number. But he divided the number by 7/9, Thus he got 32 more than the correct answer. Find the number.
Options:
A)61
B)63
C)62
D)54
E)34
Rationale: Explanation:
Let the number be x.
x/7/9 = 9x/7 = 32 + y
Actualy he should do 7x/9 = y
y = (9x/7) - 32
y = (9x - 224)/7
(9x - 224)/7 = 7x/9
81x - 2016 = 49x
81x - 49x = 2016
32x = 2016
x = 63
Answer: Option B
Answer: B
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Options:
A)1/2
B)1/3
C)1/7
D)2/5
E)2/7
Rationale: Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are girls’
F : ‘at least one of the child is a girl’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
B)
Answer: B
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability T that the World Series will consist of fewer than 7 games?
Options:
A) 12.5%
B) 25%
C) 31.25%
D) 68.75%
E) 75%
Rationale: Your explanation is very close toManhattan GMAT's official answer - it's quite uncanny:
"There are many other ways this could happen. Using the permutation formula, there are 6!/(3!)(3!) = 20 ways for the two teams to split the first 6 games (3 wins for each).
There are then 2 possible outcomes to break the tie in Game 7. Thus, there are a total of 202 = 40 ways for the World Series to last the full 7 games.
The probability that any one of these 40 ways occurs can be calculated from the fact that the probability of a team winning a game equals the probability of a team losing a game = 1/2.
Given that 7 distinct events must happen in any 7 game series, and that each of these events has a probability of 1/2, the probability that any one particular 7 game series occurs is.
Since there are 40 possible different 7 game series, the probability that the World Series will last exactly 7 games is: (1/2)^7 = 1/128
40*1/128 = 40/128 = 31.25%
Thus the probability T that the World Series will last less than 7 games is 100% - 31.25% = 68.75%.
The correct answer is D."
Answer: D
Question: Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour, what is his average rate for the entire trip in miles per minute?
Options:
A)1/7
B)2/15
C)3/15
D)1/4
E)3/8
Rationale: Dan travels 4 miles round trip.
Running part: (2/10 = 1/5*60 = 12 minutes)
Swimming Part: (2/8 = 1/4*60 = 15 minutes)
4 miles in (12+15) minutes
4/27 = 1/7 mile per minute
Answer: 1/7 mile per minute
A
Answer: A
Question: The least number which when divided by 5,6,7 And 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :
Options:
A)1677
B)1683
C)2523
D)3363
E)None of these
Rationale: Solution
L.C.M. of 5, 6, 7, 8 = 840.
So, Required number is of the form 840 k + 3.
Least value of k for which (840 k + 3) is divisible by 9 is k = 2.
so, Required number = (840 × 2 + 3) = 1683. Answer B
Answer: B
Question: A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered?
Options:
A)24
B)28
C)30
D)32
E)44
Rationale: Let C.P. be Rs. 100.
Then, S.P. = Rs. 138
Let marked price be Rs. x. Then, 96/100 x = 138
x = 13800/96 = Rs. 143.75
Now, S.P. = Rs. 143.75, C.P. = Rs. 100
Profit % = 44%.
ANSWER:E
Answer: E
Question: Ajay can ride 50km in 1 hour. In how many hours he can ride 500km?
Options:
A)10hrs
B)15hrs
C)20hrs
D)25hrs
E)18hrs
Rationale: 1 hour he ride 50km
he ride 500km in = 500/50 * 1 = 10hours
Answer is A
Answer: A
Question: The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Options:
A)25
B)27
C)30
D)35
E)40
Rationale: Sol.
Therefore excluded number
= (27 × 5) - ( 25 × 4)
= 135 – 100
= 35.
Answer D
Answer: D
Question: An oil cylinder was 3/4th full. When two bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Options:
A)20
B)15
C)40
D)30
E)35
Rationale: (4/5 -3/4) cylinder is filled by 2 bottles
0.8 -0.75 = 0.05 cylinder is filled by 2 bottles
1 cylinder is filled by 2/0.05 = 40 bottles
ANSWER:C
Answer: C
Question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
A)a) 65/9
B)b)7
C)c) 25
D)d) 45
E)e) 81
Rationale: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate.
Answer: B
Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.2 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Options:
A)a. 150
B)b. 300
C)c. 600
D)d. 120
E)e. 200
Rationale: Volume Per Box: 15x12x10 = 1,800
Total Volume: 1,080,000
Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600
Price Per Month: Number of Boxes * Price Per Box = 600 * 0.2 = 120
Answer: D
Answer: D
Question: You have been given a physical balance and 7 weights of 57, 55, 45, 44, 43, 41 and 85 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 199 kgs.
Options:
A)198
B)195
C)196
D)197
E)200
Rationale: 85 + 55 + 57 = 197
Answer: D
Answer: D
Question: Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
Options:
A)11
B)12
C)14
D)15
E)16
Rationale: This is a simple addition series. Each number increases by 2.
ANSWER B
Answer: B
Question: I bought two books; for Rs. 480. I sold one at a gain of 10% and other at a gain of 20% and then I found each book was sold at the same price. Find the cost of the book sold at a lesser gain ?
Options:
A)A)657
B)B)280
C)C)438
D)D)250
E)E)427
Rationale: x*(110/100)
= (480 - x)120/100
x = 250.4
Answer: D
Answer: D
Question: How many integers between 1 and 10^19 are such that the sum of their digits is 2?
Options:
A)190
B)210
C)211
D)230
E)231
Rationale: The integers with a sum of 2 are:
2, 20, 200,...,2*10^18 and there are 19 integers in this list.
Also, these integers have a sum of 2:
11
101, 110
1001, 1010, 1100
etc...
The number of integers in this list is 1 + 2 + ... + 18
Thus, the total number of integers is 1 + 2 + ... + 18 + 19 = 20*19/2 = 190
The answer is A.
Answer: A
Question: From the third term,each term in the sequence a(1),a(2),a(3),a(4),a(5),a(6) is the sum of the preceding two terms that is a(n)=a(n-1)+a(n-2) for n=3,4,5,6.if a(5)=36 what is the sum of all the six terms?
Options:
A)142
B)143
C)144
D)145
E)146
Rationale: If x is the first term and y is second terem, then
terms are
x
y
x+y
x+2y...... equal to 36
2x+3y
3x+5y
sum of 6 terms = 8x+12 y = 4*(2x+3y)= 4*36=144
ANSWER:C
Answer: C
Question: If Henry were to add 4 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?
Options:
A)32
B)40
C)64
D)80
E)96
Rationale: 7/8x-3/4x=4galls
1/8*x=4gallons
x=32 gallons
Answer A
Answer: A
Question: 70% of all students in a class commute by public transportation. If 10% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	10%
II.	25%
III.	80%
Options:
A)I ONLY
B)II ONLY
C)III ONLY
D)I AND II
E)II AND III
Rationale: 70% Students use public transportation. This means 30% students do not use public transportation. 10% students aspire to be scientists means even if all these students use public transportation, minimum 30% - 10% = 20% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 20% and 30%
Answer : B.
Answer: B
Question: If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen?
Options:
A)19/26
B)15/52
C)17/52
D)8/13
E)5/13
Rationale: There are 13 clubs and 2 red jacks and 2 red queens.
P(club or red jack or red queen) = 17/52
The answer is C.
Answer: C
Question: The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 131 cm. What was the actual average height of the students in the class?
Options:
A)174 cm
B)173 cm
C)172 cm
D)171 cm
E)170 cm
Rationale: The total height was 20 cm too much.
The average height should be reduced by 20 cm/20 = 1 cm
The answer is A.
Answer: A
Question: A camera lens filter kit containing 5 filters sells for $72.50. If the filters are purchased individually, 2 of them are priced at $12.45 each, 2 at $14.05 each, 1 at $11.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Options:
A)10.03%
B)11.03%
C)12.03%
D)13.03%
E)11%
Rationale: Cost of kit = $72.50
If filters are purchased individually - $12.45*2 + $14.05*2 + $11.50 = $64.50
Amount saved = $72.50 - $64.50 = $8
Required %age = ($8/$72.50)*100 = 11.03%
So, the correct answer is B.
Answer: B