divelab/Sys2Bench huggingface dataset:
Question: A professional stock trader just signed her new yearly contract with her employer. She will receive a 6% raise over last year's pay for her base pay, plus the chance to earn a performance bonus of up to $3,000. Last year, she earned no performance bonus. This year, assuming that she earns the full performance bonus, her new pay will be effectively an 8% raise. What will her new pay be assuming that she earns the full performance bonus.
Options:
A)162,000
B)173,000
C)180,000
D)213,000
E)284,000
Rationale: let x = last year's pay
this year's pay + 3,000 = this year's effective pay
(1+.06)*x + 3,000 = (1+.08)*x
1.06x + 3,000 = 1.08x
3,000 = .02x
150,000 = x
thus the new pay effectively is (1+.08)*150,000 = 162,000
A
Answer: A
Question: Set B consists of 19 elements. The average of set B is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Options:
A)a) L(1 + K / 5)
B)b) L * (K/100) - 20L
C)c) 20L(1+K/100)
D)d) 20(1+K/100)-19L
E)e) L*(K/5)-19
Rationale: Let's assume the value of new element to bea. So converting the word problem into equation,
(19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K
But according to the answer options, problem writer wanted to conveyk% percent rise in average value.
If we consider this case than resulting equation will be,
(19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]
==> a= 20L + KL/5 -19L
==> a= L + KL/5 , which is equivalent to option [A]
Answer: A
Question: Which is a better investment 12% stock at 200 or 7 2/3 stock at 150?
Options:
A)12% stock at 200
B)Cannot be compared, as the total amount of investment is not given
C)7 2/3 stock at 150
D)Both are equally good
E)None
Rationale: Let investment in each case be Rs. (200 x 150).
Income in 1st case = Rs.12 x 200 x 150/200	= Rs. 1800.
Income in 2nd case = Rs.23 x 200 x 150/(3*150)= Rs. 1533.3
Clearly, 12% stock at 200 is better.
ANSWER:A
Answer: A
Question: What is the probability of flipping a fair coin three times and the coin landing on heads on exactly one flip?
Options:
A)3/8
B)5/8
C)7/8
D)1/8
E)1/4
Rationale: Probability = (Favorable combination)/(Total combination)
Favorable combination = (HTT, TTH, THT) ==> 3
Total combination = 8 (2^3)
Probability = (3)/(8)
(A)
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Options:
A)3
B)9
C)0
D)4
E)1
Rationale: S = (1 + 2 + 3)/2
= 3
Answer:A
Answer: A
Question: If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by how much?
Options:
A)330
B)360
C)380
D)400
E)420
Rationale: unit place increased by 3. So 6,16,26,....96. Total 10*3 = 30 increased.
ten's place increased by 30. So 60,61,...69. Total 10*30 = 300 increased.
So total varies = 300 + 30= 330.
ANSWER:A
Answer: A
Question: The average (arithmetic mean) of eight numbers is 43.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
Options:
A)12.8
B)24.2
C)46.6
D)72.1
E)96.8
Rationale: arithmetic mean = sum / total numbers
sum = 43.1 * 8 = 344.8
sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum = 344.8-158.4 = 186.4
Arithmetic mean of the 4 nos = 186.4/4 = 46.6
Hence, C is the answer.
Answer: C
Question: The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is
Options:
A)23
B)39
C)55
D)28
E)01
Rationale: Explanation:
Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9
=( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9
= (4 * 110 + 55)/9 = 495 / 9 = 55.
Answer: C
Answer: C
Question: A train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. What is the speed of the train is?
Options:
A)32 kmph
B)76 kmph
C)34 kmph
D)43 kmph
E)40 kmph
Rationale: S = (100 + 300)/36
= 400/36 * 18/5
= 40
Answer:E
Answer: E
Question: Two unbiased coin are tossed .what is the probability of getting atmost one head?
Options:
A)4/5
B)3/4
C)4/7
D)9/7
E)3/4
Rationale: Here S={HH,HT,TH,TT}
Let Ee=event of getting one head
E={TT,HT,TH}
P(E)=n(E)/n(S)=3/4
Ans: E
Answer: E
Question: Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
Options:
A)6/4 hrs
B)3/4 hrs
C)9/4 hrs
D)3/4 hrs
E)1/4 hrs
Rationale: Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time
so 1/3rd of the usual time = 15min
or usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
Answer: B
Answer: B
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Options:
A)17 hours
B)28 hours
C)19 hours
D)14 hours
E)14 hours
Rationale: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
Answer: B
Answer: B
Question: In a hostel, the number of students decreased by 10% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
Options:
A)19%
B)15%
C)25%
D)40%
E)7.4%
Rationale: Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)
Originally,
C = FNP
When number of students decrease by 8%, and the price of food increases by 20%,
C = F(new) * (0.9N) * (1.2P)
=> F(new) = F/(0.9*1.2)
=> F(new) = 0.9259F
Therefore the new cost of food must be 92.59% of the old cost, or the cost of food must decrease by 7.4% (option E)
Answer: E
Question: If a = -2, what is the value of –(a^2 + a^3 + a^4 + a^5)?
Options:
A)20
B)-4
C)0
D)4
E)14
Rationale: if a = -2, then putting values in equation
= -[ (-2)^2 + (-2)^3 + (-2^4) + (-2^5) ]
= -[ 4 - 8 + 16 - 32 ]
= 20
Answer = A = 20
Answer: A
Question: When members of a certain club elected a chairman, each member voted for one of the three candidates. If candidate 1 received three times as many votes as the other two candidates together and candidate 2 received nine more votes than candidate 3, which of the following can be the number of members in the club?
Options:
A)24
B)30
C)32
D)36
E)40
Rationale: Let x denote the number of votes for candidate 1, y the number of votes for candidate 2, and z the number of votes for candidate 3. The stem gives that x=3(y+z) and y=z+9. The number of club members =x+y+z=4(y+z)=4(2z+9)=8z+36. Because z must be a non-negative integer, the club can contain 36, 44, 52, ... members. Among the listed choices only choice D fits.
Answer: D
Answer: D
Question: If x and y are positive integers, and (4x)/(3y) is an integer, which of the following must be true?
I) x is a multiple of 4.
II) y is a multiple of 3.
III) x·y is a multiple of 3.
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I, II and III
Rationale: For (4x)/(3y) to be an integer, x must be a multiple of 3. So, x * y is a multiple of 3.
Hence, C. ( rest two statements may or may not be valid)
ANSWER:C
Answer: C
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 30 litres of tomato juice?
Options:
A)3.75 liters.
B)2.5 liters.
C)8.5 liters.
D)2.6 liters.
E)2.1 liters.
Rationale: Answer:
Explanation:
In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.
â‡’â‡’ 10%(30) = 80%(x)
â‡’â‡’ x = 3.75 liters.
Answer:A
Answer: A
Question: The three sides of an acute angled triangle (all in cms) are 12, 19 and g. How many integer values can g take?
Options:
A)23
B)22
C)15
D)8
E)7
Rationale: In acute angle triangles all angles in the triangle should be less than 90.
The maximum length of g can be when it is the hypotenuse of the triangle.
So, g= sqrt(12^2 + 19^2) = 22.5 (approx)
The maximum length of g can be when side of length 12 is the hypotenuse of the triangle.
So, g = sqrt (19^2 - 12^2) = 14.7 (approx)
So, g>14.7 and g<22.5.
Hence, possible values for g can be 15,16,17,18,19,20,21 and 22. Total 8 values.
Answer D.
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 25 sq ft, if the price per foot of building the fence is Rs. 58?
Options:
A)1160
B)1251
C)1102
D)1352
E)1450
Rationale: Let the side of the square plot be a ft.
a2 = 25 => a = 5
Length of the fence = Perimeter of the plot = 4a = 20 ft.
Cost of building the fence = 20 * 58 = Rs. 1160.
Answer: A
Answer: A
Question: 9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days then in how many days 9 men and 10 women will finish the same work.
Options:
A)185/41 days
B)175/41 days
C)195/41 days
D)195/51 days
E)195/49 days
Rationale: 9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days .
so 45 men + 30 women = 30 men +150 women
15 men = 120 women
1 man = 8 women
9 men = 72 women
9 men + 6 women = 78 women
9 men +10 women = 82 women.
78 women complete work in 5 days
82 women will complete work in 5*78/82 = 5*39/41 = 195/41 days
ANSWER:C
Answer: C
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
Options:
A)600 votes
B)700 votes
C)770 votes
D)800 votes
E)860 votes
Rationale: Total = 100 %,
First person got 60%
second person got remaining 40 % of votes.
than 40 % = 280
40% = 40×7 = 280
100% =100×7 =700 votes
B)
Answer: B
Question: Let f(x) = x^2 + bx + c. If f(6) = 0 and f(-1) = 0, then b + c =
Options:
A)18
B)15
C)-15
D)-11
E)-24
Rationale: f(x) = x^2 + bx + c. If f(6) = 0 and f(-1) = 0, then b + c =
f(6) = 0= 36+6b+c--- Taking 36 to the other side
-> 6b+c= -36
f(-1) = 0= 1-b+c --- taking -b+c to the other side
-> b-c=1
When we add these 2 equations, we get 7b= -35---> b= -5
And while substituting b= -5 we get c= -6.
b+c= -11--- Answer D
Answer: D
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Options:
A)288
B)2889
C)1000
D)2770
E)27912
Rationale: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer: C
Answer: C
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Options:
A)3:3
B)8:7
C)4:8
D)2:9
E)2:7
Rationale: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.
Let the dimensions of the carpet in the second case be 7y, 3y units respectively.
From the data,.
2(3x + 2x) = 2(7y + 3y)
=> 5x = 10y
=> x = 2y
Required ratio of the areas of the carpet in both the cases
= 3x * 2x : 7y : 3y
= 6x2 : 21y2
= 6 * (2y)2 : 21y2
= 6 * 4y2 : 21y2
= 8 : 7
nswer: B
Answer: B
Question: Ajay spends 25 per cent of his salary on house rent, 10 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?
Options:
A)Rs.67500
B)Rs.80500
C)Rs.60700
D)Rs.70500
E)None of these
Rationale: Explanation:
Savings = Income â€“ expenditure
100 â€“ (25+10+15+10) = 40%
40% of income = Rs.27000
:. Income = 27000 x 100/40 = Rs. 67500.
Answer: Option A
Answer: A
Question: The side of a square has the length of 10. What is the area of the region shaded?
Options:
A)48-8π
B)48-6 π
C)24+6π
D)16+8π
E)64-10π
Rationale: The area of a square whose side is 10 – (the area of a square whose side is 4 + the area of the semi-circle whose side is 4) = the area of the region shaded
The correct answer is E.
Answer: E
Question: Aman started a business investing Rs. 30,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Options:
A)36:105:118
B)36:105:112
C)12:105:110
D)12:105:112
E)36:105:111
Rationale: Explanation:
Aman : Rakhi : Sagar = (30000 * 36) : (105000 * 30) : (140000 * 24)
= 36:105:112
Answer: B
Answer: B
Question: Which of the following is greatest?
Options:
A)2/10
B)2/10^2
C)2/10^3
D)2/10^4
E)2/10^6
Rationale: 2/10 > 2/100 > 2/1000 > 2/10000 > 2/1000000
Answer : A
Answer: A
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Options:
A)60
B)50
C)40
D)70
E)65
Rationale: Time = 6
Distance = 540
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 540/9 = 60 Kmph
Answer A.
Answer: A
Question: If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?
Options:
A)Lines L1 , L2, and L3 lie in the same plane
B)Lines L1 , ,L2 and L3 lie in different planes
C)Line L1 is parallel to line L2
D)Line L1 is the same line as line L2
E)Line L1 is the same line as line L3
Rationale: If each of the two lines L1 and L2 is parallel to line L3,
it means L1 || L2 || L3.
And thats exactly in answer choice C.
Answer: C
Question: 8 , 16 , 24 , 32, 64 ....
In the sequence find the wrong term
Options:
A)8
B)16
C)24
D)32
E)64
Rationale: In the sequence except 24 all others are the cube root of 2
so the answer is option C) 24
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.176 in 4 Years?
Options:
A)5%
B)8%
C)3%
D)9%
E)5.5%
Rationale: 176 = (180*4*R)/100
R = 5.5%
Answer: E
Answer: E
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Options:
A)2m
B)3m
C)5m
D)6m
E)7m
Rationale: Area of the park = (60 x 40) m2 = 2400 m2.
Area of the lawn = 2109 m2.
Area of the crossroads = (2400 - 2109) m2 = 291 m2.
Let the width of the road be x metres. Then,
60x + 40x - x2 = 291
x2 - 100x + 291 = 0
(x - 97)(x - 3) = 0
x = 3
Answer:B
Answer: B
Question: A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 30 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Options:
A) $180,000
B) $185,000
C) $190,000
D) $200,000
E) $205,000
Rationale: 30% of 1000 = 300 worked for 30 hours
Payment @ 5/hr
Total Payment = 300*30*5 = 45000
50 % of 1000 = 500 worked for 40 hours
Payment @ 5/hr
Total payment = 500*40*5 = 100000
Remaining 200 worked for 50 Hours
Payment for first 40 Hours @ 5 /hr
Payment = 200*40*5 = 40000
Payment for next 10 hr @ 7.5/hr
Payment = 200 * 10 * 7.5 = 15000
Total Payment = 45000+100000 + 40000 +15000 = 200000
Hence , answer is D
Answer: D
Question: if 6 women take an hour to dig a ditch, then how long should 18 women take a dig to ditch of the same type?
Options:
A)25 min
B)20 min
C)28 min
D)15 min
E)10 min
Rationale: if 6 women take an hour to dig a ditch, then
18 men will take 6*60/18 = 20 mins to dig a ditch of the same type.
ANSWER:B
Answer: B
Question: What is the range of values of b for which 1 - b^8 < 0 ?
Options:
A)b < -1 or b > 1
B)-1 <= b <= 1
C)b > 1
D)b < -1
E)0 <= b <= 1
Rationale: Stem can be rephrased as -
b^8 - 1 > 0
Hence b > 1 or b < -1
ANSWER:A
Answer: A
Question: Alex climbs a mountain peak and back from base. He takes the exact same route both ways. On the trip out he climbs up at an average speed of 5 miles per hour. On the trip back he climbs down at an average speed of 25 miles per hour. What is his approximate average speed for the round trip in miles per hour?
Options:
A)8.33
B)18.3
C)20
D)22
E)25
Rationale: Average speed = total distance/total time
Here distance to peak and back is same as he takes the same route.
D = 5T1 and D=25T2
Therefore, T1 = D/5 and T2 = D/25
T1+T2 = 6d/25
Therefore, average speed = 2d/6d/25 =2d * 25/6d
Answer is 8.3 Since, the options are far away we need not solve till the decimal points
So correct answer is option A
Answer: A
Question: It was at a cocktail party in New York that I met Stephanie. We exchanged our phone numbers and decided to meet each other soon.
When she rang up and invited me to her house this is how she gave the number of her house.
I live in a long street. Numbered on the side of my house are the houses one, two, three and so on. All the numbers on one side of my house add up exactly the same as all the numbers on the other side of my house. I know there are more than fifty houses on that side of the street, but not so many as five hundred'
can you find Stephanie's house number?
Options:
A)200
B)204
C)199
D)206
E)210
Rationale: B
204
The numbers of the houses on each side will add up alike if the number of the house be 1 and there are no other houses, and if the number be 6 with 8 houses in all, if 35 with 49 houses, if 204 with 288 houses, if 1189 with 1681 houses and so on. But we know that there are more than 50 and less than 500 houses, and so we are limited to a single case.
The number of the house must be 204.
Answer: B
Question: A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 40, how many horses are there ?
Options:
A)8
B)12
C)14
D)16
E)18
Rationale: legs 8*4 = 32
now half on their horses so remaining on the walk so 4 men
4 men has 8 legs
so, 8+ 32 = 40 legs walking
ANSWER:A
Answer: A
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 46 centimeters assuming that 1-inch is 2.54 centimeters?
Options:
A)174.2
B)212
C)288.1
D)290
E)282.4
Rationale: 1.5 inch = 2.54*1.5 cm.
So, 2.54*1.5 represents 24 miles.
So for 46 cm.:
46/(2.54*1.5) = x / 24 ---> x = 24*46/(3.81) = 290
Answer will be D.
Answer: D
Question: If 65 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Options:
A)45%
B)40%
C)35%
D)30%
E)25%
Rationale: 65% answered the first question correctly and 20% answered neither correctly.
Then 15% missed the first question but answered the second question correctly.
Then the percent who answered both correctly is 55% - 15% = 40%.
The answer is B.
Answer: B
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is......
Options:
A)99
B)100
C)87
D)95
E)90
Rationale: DETAILED SOLUTION
10 students have scored 600 marks amongst them, and no one is allowed to score lesser than 40 or higher than 100. The idea now is to maximize what the highest scorer gets.
The 5 least scores have an average of 55, which means that they have scored 55 x 5 = 275 marks amongst them. This leaves 325 marks to be shared amongst the top 5 students. Lets call them a, b, c, d and e. Now, in order to maximize what the top scorer “e” gets, all the others have to get the least possible scores (and at the same time, they should also get distinct integers.)
The least possible score of the top 5 should be at least equal to the highest of the bottom 5. Now we want to make sure that the highest of the bottom 5 is the least possible. This can be done by making all scores equal to 55. If some scores are less than 55, some other scores have to be higher than 55 to compensate and make the average 55. Thus the highest score is the least only when the range is 0.
So now, we have the lowest value that the top 5 can score, which is 55. The others have to get distinct integer scores, and as few marks as possible, so that “e” gets the maximum.
So, 55 + 56 + 57 + 58 + e = 325
e = 99 marks.
Answer choice (A)
Answer: A
Question: Two vessels contains equal number of mixtures milk and water in the ratio 4:2 and 5:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
Options:
A)3:1
B)9:13
C)5:11
D)11:3
E)15:4
Rationale: The ratio of milk and water in the new vessel is = (4/6 + 5/6) : (2/6 + 1/6)
= 9/6 : 3/6 = 3:1
Answer is A
Answer: A
Question: Three men A,B, C and two women X, Y are to be seated in one row. Of all the seating arrangements possible, in how many of them X sits to the immediate left of one of the men?
Options:
A)12
B)48
C)60
D)72
E)96
Rationale: take Men, X as one combination..
so total seats now are 4...
so ways 4 can be arranged is 4!..
but the men can be A, B or C, so 3 ways..
answer = 4!*3 = 24*3 = 72
ANSWER:D
Answer: D
Question: The smallest 5 digit number exactly divisible by 41 is?
Options:
A)10003
B)10004
C)10007
D)10009
E)10010
Rationale: The smallest 5-digit number = 10000.
41) 10000 (243
82
---
180
164
----
160
123
---
37
---
Required number = 10000 + (41 - 37)
= 10004.
Option B
Answer: B
Question: Mom mixed 2 1/2 pounds of apples, 1 1/8 pounds of grapes and 1 1/4 pounds of pears for a
salad. After setting aside 1 1/2 pounds of salad for today, she divided the rest of the salad equally
into 3 containers. What is the weight of the salad in one container?
Options:
A)1 1/8 lb
B)2 1/8 lb
C)3 1/8 lb
D)4 1/8 lb
E)5 1/8 lb
Rationale: 2 1/2 + 1 1/8 + 1 1/4 = 4 7/8 pounds of salad
4 7/8 - 1 1/2 = 3 3/8 pounds left
3 3/8 ÷ 3 = 27/8 ÷ 3/1 = 27/8 x 1/3 =
9/8 = 1 1/8 lb. in a container
correct answer A
Answer: A
Question: A single letter is selected at random from the word 'MISSING'. The probability that it is a vowel is..??
Options:
A)2/11
B)2/7
C)4/11
D)3/7
E)1
Rationale: total vowels = 2, total number of letters = 7
so probability = 2/7
ANSWER:B
Answer: B
Question: A crew is made up of 8 men; the rest are women. 66+2/3% of
the crew are men. How many people are in the crew?
Options:
A)11
B)12
C)13
D)14
E)15
Rationale: 62+2/3/100=8/x
Multiply the opposites:
100 x 8 = 800
Divide by the remaining number:
800'/'66+2/3=800/1'/'200/3
-(800)/1*3/-(200)
erasing 800=4
erasing 200=1
we have
12/1
=12
correct answer B
Answer: B
Question: 41% of 801 – 150.17 = ? – 57% of 910
Options:
A)797
B)697
C)687
D)699
E)799
Rationale: Explanation:
328 – 150 = 178
X – 519 = 178
X = 697
Answer: Option B
Answer: B
Question: A certain fruit stand sold apples for $0.80 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $7.20, what total number of apples and bananas did the customer purchase?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: Let's start with 1 apple for $0.80.
Let's subtract $0.80 from $7.20 until we get a multiple of $0.50.
$7.20, $6.40, $5.60, $4.80, $4.00 = 8*$0.50
The customer purchased 8 bananas and 4 apples.
The answer is C.
Answer: C
Question: For what value of x, is |x – 3| + |x + 1| + |x| = 11?
Options:
A) 0
B) 3
C) -3
D) 4
E) -2
Rationale: For what value of x, is |x – 3| + |x + 1| + |x| = 11?
It's easiest just to plug in answer choices:
(C): -3
|x – 3| + |x + 1| + |x| = 11?
|-3 - 3| + |-3 + 1| + |-3| = 11?
|6| + |2| + |3| = 11
(C)
Answer: C