divelab/Sys2Bench huggingface dataset:
Question: A and B together can do a work in 4 days. If A alone can do it in 14 days. In how many days can B alone do it?
Options:
A)10
B)6
C)77
D)55
E)21
Rationale: 1/4 – 1/12 = 1/6
=> 6
Answer: B
Answer: B
Question: Jane covered a distance of 310 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Options:
A)2 hours 30 minutes
B)3 hours
C)2 hours
D)1 hour 30 minutes
E)None of these
Rationale: Answer
Let Jane travel 'x' at 60 miles per hour.
As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.
Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.
Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.
Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.
Therefore, total distance = 60x + 400 - 80x.
Total distance travelled = 340 miles.
Therefore, 310 = 60x + 400 - 80x
20x = 30 or x = 1 hours 30 minutes.
Choice D
Answer: D
Question: How many 4 letter words are formed using the letters of the word ORIGINAL ?
Options:
A)1290
B)1680
C)1780
D)1490
E)1260
Rationale: The number of letters in the given word is 4
The number of 4 letter words that can be formed using these four letters is 8P4=8*7*6*5=1680
Answer:B
Answer: B
Question: From given equation find the value of x: 2x² + 9x − 5
Options:
A)1/2
B)1
C)1 1/2
D)1 1/3
E)2
Rationale: That quadratic is factored as follows:
2x² + 9x − 5 = (2x − 1)(x + 5).
Lesson 17.
Now, it is easy to see that the second factor will be 0 when x = −5.
As for the value of x that will make
2x − 1 = 0,
we must solve that little equation. (Lesson 9.)
We have:
2x = 1
x = 1
2
The solutions are:
x = 1/2 or −5
A
Answer: A
Question: The profit earned alters selling an article for ₹ 996 is the same as loss incurred after selling the article for ₹ 894. What is the cost price of the article?
Options:
A)22
B)878
C)87
D)77
E)91
Rationale: Answer:E
Answer: E
Question: By selling 95 pens, a trader gains the cost of 19 pens. Find his gain percentage?
Options:
A)20%
B)21%
C)22%
D)23%
E)24%
Rationale: Let the CP of each pen be Rs. 1.
CP of 95 pens = Rs. 95
Profit = Cost of 19 pens = Rs. 19
Profit% = 19/95 * 100 = 20%
Answer:A
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
A)150 meter
B)299 meter
C)135 meter
D)155 meter
E)144 meter
Rationale: Speed = 54*(5/18) m/sec = 15 m/sec
Length of Train (Distance) = Speed * Time
(15) * 9
= 135 meter
Answer: C
Answer: C
Question: Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last year and he saved 12% of his annual earnings. The amount saved this year was what percentage of the amount saved last year?
Options:
A)124%
B)126%
C)128%
D)122%
E)1005
Rationale: suppose total earning 10000
10% saving=1000
this yr 5% more income than prev yr=10500
12% saving = 1260
percentage of amount saved = (1260/1000)*100=126%
ANSWER:B
Answer: B
Question: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
Options:
A)4372 sq m
B)4317 sq m
C)4312 sq m
D)4372 sq m
E)4712 sq m
Rationale: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 264 and 2∏l = 352
s = 264/2∏ and l = 352/2∏
Difference between the areas = ∏l2 - ∏s2
= ∏{1762/∏2 - 1322/∏2}
= 1762/∏ - 1322/∏
= (176 - 132)(176 + 132)/∏
= (44)(308)/(22/7) = (2)(308)(7) = 4312 sq m
Answer:C
Answer: C
Question: A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)37
B)38
C)22
D)45
E)28
Rationale: Let number of notes of each denomination be x.
Then, x + 5x + 10x = 240 16x = 240 x = 15.
Hence, total number of notes = 3x = 45.
Answer:D
Answer: D
Question: Twenty four men can do a work in 32 days. How many men are required to complete the work in 12 days?
Options:
A)32
B)10
C)64
D)40
E)60
Rationale: C
64
We have M1 D1 = M2 D2
So, 24 * 32 = M2 * 12 => M2 = 64.
Answer is C
Answer: C
Question: Nowhere in the passage it is mentioned that they are of lackadaisical (means – arrogant, apathetic, careless etc.,) or selfish; nor they have any authority, whatsoever. If they really have bureaucratic authority, they would not be middle class people.
Options:
A)27
B)29
C)77
D)16
E)11
Rationale: Answer:	A
Answer: A
Question: $1200 is invested at a given interest rate for two years. The difference between the simple 2-year non-compounded return at the end of the two years and an annually compounded return is $132. What is the interest rate?
Options:
A)10%
B)11%
C)12%
D)13%
E)14%
Rationale: For first year there will not be any difference in interest accrued using either Non-compounded or compounded rate. This means that the difference that has accrued must be the result of one year simple interest rate.
Option A will give 120
Option B will give 132 - Our Answer
Answer B
Answer: B
Question: What is x if x + 2y = 10 and y = 3?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: Substitute y by 3 in x + 2y = 10
x + 2(3) = 10
x + 6 = 10
If we substitute x by 4 in x + 6 = 10, we have 4 + 6 = 10. Hence
x = 4
correct answer D
Answer: D
Question: If a and b are positive integers such that a/b = 3.42, which of the following must be a divisor of a
Options:
A)57
B)32
C)45
D)26
E)20
Rationale: a/b = 3.42
a/b = 342/100
a/b = 171/50
a = 171/50*b
We require to find from the available 5 options that must be a divisor of a"
This also means which of the following 5 options can divide 171 evenly
(Ignore b as its value unknown; Ignore 50 as in denominator)
Only option A = 57 best fits in
Answer = 57
ANSWER:A
Answer: A
Question: Jerry, an electrician, worked 5 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 5? 12 months = 1 year
Options:
A)58.33%
B)68.33%
C)78.33%
D)88.33%
E)41.66%
Rationale: 1. Multiply the opposites
5 x 100 = 500
100=5/12
Divide by the remaining number
41.66% (rounded to hundredth)
correct answer E
Answer: E
Question: If a quarter kg of potato cost 60 paise, how many paise will 200 gm cost ?
Options:
A)48 paise
B)54 paise
C)56 paise
D)72 paise
E)None of these
Rationale: Solution
Let the required cost be x paise. Less weight, Less cost
∴ 250 : 200 :: 60 : x ⇔ 250 × x = (200 × 60) ⇔ x = (200x60)/250⇔ x = 48. Answer A
Answer: A
Question: A number when divided by 342 gives a remainder 47. When the same number if it divided by 19, what would be the remainder ?
Options:
A)1
B)2
C)5
D)9
E)11
Rationale: On dividing the given number by 342, let k be the quotient and 47 as remainder.
Then, number – 342k + 47 = (19 x 18k + 19 x 2 + 9) = 19 (18k + 2) + 9.
The given number when divided by 19, gives (18k + 2) as quotient and 9 as remainder.
ANSWER D
Answer: D
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 750 km from the starting point ?
Options:
A)8 hrs 6 min
B)6 hrs 28 min
C)2 hrs 28 min
D)6 hrs 28 min
E)1 hrs 28 min
Rationale: Explanation:
Time taken to cover 750 km = 750/100 = 7 hrs 30 mins
Number of stoppages = 750/75 - 1 = 9
Total time of stoppages = 4 x 9 = 36 min
Hence, total time taken = 8 hrs 6 min.
Answer: A
Answer: A
Question: A 140 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
A)A)73
B)B)20
C)C)83
D)D)40
E)E)52
Rationale: Explanation:
1: 2/5 = 5: 2
2/7 * 140 = 40
Answer: Option D
Answer: D
Question: In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.80 per kg?
Options:
A)5:8
B)4:7
C)4:3
D)9:5
E)9:8
Rationale: (96-80)/(80-68)=16/12=4/3
ANSWER:C
Answer: C
Question: Rounded to three decimal places, 1.004^4 =
Options:
A)1.004
B)1.006
C)1.008
D)1.012
E)1.016
Rationale: As compared to 1, 0.004 is a very small quantity. Thus, we can write (1+0.004)^4 is nearly equal to (1+4*0.004) = 1.016.As the question asks for approximation to three decimal places, the further terms will anyways not come into picture.
E.
Answer: E
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 6 miles?
Options:
A)10/5
B)15/5
C)20/5
D)22/5
E)18/5
Rationale: 1 km is approxmately equal to 0.6 miles
So 6 km = 6*0.6 = 3.6 miles . Multiple & divide by 10
i.e 3.6*10/10 = 36/10 = 18/5
Answer : E
Answer: E
Question: Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 more months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
Options:
A)21:32
B)32:21
C)12:17
D)17:12
E)15:17
Rationale: Explanation:
Here capital is not the same.
Suresh invested 20000 for initial 6 months and 15000 for the next 6 months. Hence his term of ratio
=(20000×6+15000×6):(30000×4+50000×4)
=(20×6+15×6):(30×4+50×4)
=(20×3+15×3):(30×2:50×2)
=105:160
=21:32
Answer: Option A
Answer: A
Question: If w persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Options:
A)z
B)x
C)x/y
D)z/x
E)y/z
Rationale: the Q doesn't seem to be having the any correct answer as a choice..
since we are looking for days, lets keep days in end and work out a solution..
w person can do z jobs in y days..
so w person can do 1 job in y/z days..
and 1 person can do 1 job in y^2/z days..
so y person can complete 1 job in y^2/zy=y/z..
so the answer should be y/z=E
Answer: E
Question: If a - b = 3 and a(power 2) + b(power 2) = 39, find the value of ab.
Options:
A)15
B)8
C)4
D)10
E)3
Rationale: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)
= 39 - 9 = 30
ab = 15.
Answer is A.
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Options:
A)124
B)154
C)166
D)178
E)190
Rationale: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Answer: C
Question: If the sum of 8 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 8
Options:
A)I only
B)II only
C)III only
D)I and III
E)II and III
Rationale: sum of 6 consecutive integers
= (n) + (n+1) + (n+2) + (n+3) + (n+4) + (n+5)+(n+6)+(n+7)
= 8n + 28
= even + even = even
= 4(2n+7) = divisible by 4
Hence, x is even and divisible by 4.
Answer: D
Answer: D
Question: In a 100m, A beats B by 15m and B beats C by 10m. If A beats C by 5 sec then the speed of C.
Options:
A)5m/sec
B)Speed of C can not be found with given data.
C)4.7m/sec
D)4m/sec
E)4.5m/sec
Rationale: When A finishes the race , B is at 85m....
and when B travels 100m, C is at 100-10 = 90m.....
so C loses 10m on B's 100m................
or C will lose 1 m for every 10m of B.....
so C will lose 8.5 m when B travels 85m.....
From above we get correlation of all three..
A is at 100, B is at 85 and C is at 85-8.5 = 76.5
So C is 100-76.5 = 23.5 m behind A...
and C also loses by 5 secs, this means C covers this 23.5m in 5 secs..
speed of C =23.5/5=4.723.55=4.7 mps
ANSWER:C
Answer: C
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
Options:
A)63
B)64.5
C)62.5
D)60.5
E)60
Rationale: Let required number of buckets =x
If capacity of buckets are reduced, more number of buckets are required (indirect proportion). Therefore,
25:x=(2/5):1
⇒25=2x/5
⇒x=62.5
Answer: C
Answer: C
Question: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3 => h = 9 cm
Answer: Option E
Answer: E
Question: In 10 years,A will be 5 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
Options:
A)17.25 Years
B)29 Years
C)39 Years
D)49 Years
E)59 Years
Rationale: Solution
Let B's present age = x years.Then,A's present age =(x +9) years.
âˆ´ (x + 9)+ 10 = 5 (x - 10) â‡” x + 19 = 5x- 50 â‡” 4x = 69.
x = 17.25
Answer A
Answer: A
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Options:
A)31.6
B)31.0
C)31.6
D)31.1
E)31.5
Rationale: 100*(80/100)*(90/100)*(95/100)
= 68.4
100 - 68.4 = 31.6
Answer: C
Answer: C
Question: 25 % of 1250
Options:
A)330
B)315
C)312.5
D)370
E)350
Rationale: 1 % of 1250 is = 12.5025% of 1250 is = 12.50 * 25 = 312.5Answer : C
Answer: C
Question: What is the next number of the following sequence
8,0.5,16,4,15,0.3,50,4.5,6,.2,30,?
Options:
A)0.6
B)0.8
C)1.2
D)1.6
E)1.8
Rationale: 8,0.5,16,4,15,0.3,50,4.5,6,.2,30,X
(8,0.5,16,4),(15,0.3,50,4.5),(6,.2,30,X)
in each group, 1st/2nd=3rd & 1st*2nd=4th
8/0.5=16, 8*0.5=4
15/0.3=50, 15*0.3=4.5
6/.2 = 30, 6*.2=X => X=1.2
ANSWER:C
Answer: C
Question: A chair is bought for Rs.1000/- and sold at a loss of 20% find its selling price
Options:
A)Rs.800/-
B)Rs.510/-
C)Rs.515/-
D)Rs.530/-
E)Rs.540/-
Rationale: Loss = 1000*20/100 = 200
S.P = C.P - Loss
= 1000- 200
=Rs.800/-
Answer :A
Answer: A
Question: The speed of a boat in still water in 42 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 44 minutes is:
Options:
A)86.6 km
B)46.6 km
C)34.5 km
D)35.6 km
E)26.6 km
Rationale: Speed downstream = (42 + 5) = 47 kmph
Time = 44 minutes =44/60 hour = 11/15 hour
Distance travelled = Time × speed =11/15×47 = 34.5 km
ANSWER:C
Answer: C
Question: Series B(n) is such that i*B(i) = j*B(j) for any pair of positive integers (i, j). If B(1) is a positive integer, which of the following is possible?
I. 2*B(100) = B(99) + B(98)
II. B(1) is the only integer in the series
III. The series does not contain negative numbers
Options:
A)I only
B)II only
C)IIII only
D)IIIII only
E)I, IIIII
Rationale: First thing I want to understand is this relation: i*B(i) = j*B(j) for any pair of positive integers. I will take examples to understand it.
When i = 1 and j = 2, B(1) = 2*B(2)
So B(2) = B(1)/2
When i = 1 and j = 3, B(1) = 3*B(3)
So B(3) = B(1)/3
I see it now. The series is: B(1), B(1)/2, B(1)/3, B(1)/4 and so on...
II and III are easily possible. We can see that without any calculations.
II. B(1) is the only integer in the series
If B(1) = 1, then series becomes 1, 1/2, 1/3, 1/4 ... all fractions except B(1)
III. The series does not contain negative numbers
Again, same series as above applies. In fact, since B(1) is a positive integer, this must be true.
I. 2*B(100) = B(99) + B(98)
2*B(1)/100 = B(1)/99 + B(1)/98 (cancel B(1) from both sides)
2/100 = 1/99 + 1/98
Not true hence this is not possible
Answer (D)
Answer: D
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Options:
A)80%
B)105%
C)120%
D)124.2%
E)138%
Rationale: x = profits
r= revenue
x/r = 0,1
x= 10
r=100
2009:
r=80
x/80 = 0,15 = 15/100
x= 80*15/100
x= 12
12/10 = 1,2 = 120%, Answer C
Answer: C
Question: What is the ratio of y to x if (x + 3y) / ( x - y) = 7/4?
Options:
A)-15/4
B)-5/3
C)-1/15
D)3/5
E)15/1
Rationale: Solving for y/x gives, 3/19 (E)
Answer: E
Question: A train running at the speed of 80 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
A)227 m
B)150 m
C)187 m
D)167 m
E)200 m
Rationale: Speed = 80 * 5/18 = 200/9 m/sec
Length of the train = speed * time = 200/9 * 9
= 200 m
Answer: E
Answer: E
Question: Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: E10, H13, __, N19, Q22, ... What number should fill the blank?
Options:
A)H13
B)I14
C)J15
D)K16
E)L17
Rationale: D
K16
In this series, the letters progress by 3, and the numbers increase by 3.
Answer: D
Question: Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 1 hours?
Options:
A)60X/Y.
B)120X/Y.
C)60Y/X.
D)120Y/X.
E)(X + Y)/60.
Rationale: Kramer can pack X boxes per min.
Therefore in 1 hrs(60mins)he can pack 60X boxes.
If there are Y boxes in one case then then the total number of cases packed by Kramer = 60X/Y
(ANSWER A)
Answer: A
Question: Last year a worker saved 15% of her annual salary. This year, she made 20% more money than last year and she saved 25% of her salary. The amount she saved this year was what percent of the amount she saved last year?
Options:
A)120%
B)140%
C)160%
D)180%
E)200%
Rationale: Let x be the worker's salary last year.
Last year, she saved 0.15x.
This year, she saved 0.25(1.2x)=0.3x
0.3x/0.15x=200%
The answer is E.
Answer: E
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Options:
A)4 years
B)8 years
C)6 years
D)2 years
E)10 years
Rationale: Let the ages of children be X, (X + 3), (X + 6), (X + 9) and (X + 12) years.
Then, X + (X + 3) + (X + 6) + (X + 9) + (X + 12) = 50
5X = 20
X = 4.
Age of the youngest child = X = 4 years.
ANSWER:A
Answer: A
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 25
90-99 18
The table shows a distribution of test scores. Which score interval contains the median of the 71 scores?
Options:
A)a) 60-69
B)b) 70-79
C)c) 80-89
D)d) 90-99
E)e) Cannot determine.
Rationale: 36th person
80-89 C
Answer: C
Question: Kala and Sudha stated a business with an investment of Rs.18000 and Rs.24000 respectively. After 3 months Gita joined in the business with an investment of Rs.20000, find share of Gita, if the difference between the profits received by Kala and Sudha is Rs.840 ?
Options:
A)2150
B)2200
C)2100
D)2250
E)2300
Rationale: Ratio of investments Kala : Sudha : Githa => 18000 : 24000 : 20000 => 9 : 12 : 10.
Investment x time.
Kala = 9 x 12 = 108.
Sudha = 12 x 12 = 144.
Githa = 10 x 9 = 180.
Or Kala : Sudha : Githa => 6 : 8 : 5.
Let shares of Kala, Sudha and Githa be = 6a : 8a : 5a.
Difference between the profits received by Kala and Sudha
6a – 8a = 2a = 840 or a = 420.
Githa = 5a = 5 x 420 = Rs.2100.
Option C
Answer: C
Question: A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 32% of the original number. What percent of the red candies remain?
Options:
A)27.5%
B)33.3%
C)35.5%
D)42.5%
E)47.5%
Rationale: Let x be the original number of each color so there are a total of 5x candies.
Kaz eats all of the green candies and half of the orange ones.
There are 0 green candies and 0.5x orange candies remaining.
He eats half of the remaining pieces of each color.
There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.
He eats red and yellow candies in equal proportions.
orange+blue+red+yellow = 0.75x + red + yellow = 1.6x
red + yellow = 0.85x
red = 0.425x, since red = yellow.
The answer is D.
Answer: D
Question: (935421 x 625) = ?
Options:
A)584638125
B)584638130
C)584638135
D)584638140
E)584638145
Rationale: 935421 x 625 = 935421 x 54 = 935421 x 10 4
2
=	935421 x 104	=	9354210000
24	16
= 584638125
A)
Answer: A
Question: The number of digits of the smallest number, which when multiplied by 7 gives the result consisting entirely of nines is
Options:
A)3
B)5
C)6
D)8
E)9
Rationale: Sol.
By hit and trial, we find that a number exactly divisible by 7 and consisting entirely of nines is 999999. Number of digits in it = 6.
Answer C
Answer: C
Question: Find the remainder when 2^31 is divided by 5.
Options:
A)9
B)7
C)1
D)3
E)6
Rationale: 2^31=(2^10*2^10*2^10)*2=(2^10)^3 *2=(1024)^3 *2
unit digit in 2^31=unit digit in {(1024)^3*2}=(4*2)=8.
Now, 8 when divided by 5 gives 3 as remainder
2^31 when divided by 5 gives remainder =3.
Answer is D
Answer: D
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options:
A)4
B)8
C)6
D)2
E)1
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Answer:A
Answer: A
Question: A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 105 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Options:
A)8%
B)9%
C)11%
D)12.5%
E)14.28%
Rationale: Typical dosage is Dose : weight :: 2: 15.
Now if weight is 105 (Multiplying factor is 7: (105/15)) then typical dosage would be 2 *7 = 14 cc.
Dosage = 18 cc. Dosage is greater by 2 cc.
% dosage is greater: (2 / 14)*100 = 14.28 %
E is the answer.
Answer: E
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 3.5, 6.5, 9.5, 12.5, ... What number should come next?
Options:
A)4.7
B)3.6
C)4.9
D)15.5
E)4.4
Rationale: 15.5
In this simple addition series, each number increases by 3.0
Answer : D
Answer: D
Question: The number of arrangements that can be made with the letters of the word MEADOW so that the vowels occupy the even places?
Options:
A)54
B)72
C)42
D)15
E)36
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 3 places in 3! i.e., 6 ways.
Hence the total ways are 6 * 6 = 36.
Answer:E
Answer: E
Question: If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 21?
Options:
A)101
B)187
C)191
D)221
E)251
Rationale: ok, not sure if this is the best explanation, but here is my way of solving this :
tn +1 = tn + n,
t 3 = 14
so:
t 4 = t 3 + 3
t 5 = t 4 + 4, so we replace t 4 with the previous result : t 5 = (t 3 + 3 ) + 4
....
so we get
t 21 = t 3 + 3 + 4 + 5 + 6....+ 19+20
the 3 + 4 + 5 + ... + 19 +20 sequence is equal the sequence 1 + 2 + ... + 19,+20 minus 1 + 2 at the beginning (so, minus 3)
and the 1 + 2 ... + 19 +20 sequence is equal to n*(n+1)/2 with n being 20, so equal to 20 * 21 / 2 = 210
so :
t 21 = t 3 + 210 - 3
t 21 = 14 + 210 - 3 = 210 + 11 = 221, hence answer D
Answer: D
Question: On a baseball team, 4 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Options:
A)3/4
B)5/6
C)7/8
D)9/16
E)11/16
Rationale: The total number of ways to choose three players is 4C3=4.
Excluding Alice, the number of ways to choose three players is 3C3=1.
P(Alice is not chosen)=1/4.
P(Alice is chosen)=1 - 1/4 = 3/4.
The answer is A.
Answer: A