mathewhe/aqua_rat huggingface dataset:
Question: In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
(A) 22%
(B) 23%
(C) 24%
(D) 25%
(E) 34%
Rationale: Since 12% of the customers who sample the candy are not caught, then 88% of the customers who sample the candy are caught:
{% of customers who sample candy}*0.88 = 0.22;
{% of customers who sample candy} = 0.25.
Answer: D.
Answer: (D) 25%
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 200. Find the total worth of the stock?
(A) 20029
(B) 20000
(C) 10000
(D) 20027
(E) 20026
Rationale: Let the total worth of the stock be Rs. x.
The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50
The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50
Total SP = 11x/50 + 38x/50 = 49x/50
Overall loss = x - 49x/50 = x/50
x/50 = 200 => x = 10000
Answer: C
Answer: (C) 10000
Question: A is B's sister. C is B's mother. D is C's father. E is D's mother. Then, how is A related to D?
(A) Grandfather
(B) Daughter
(C) Grandmother
(D) Granddaughter
(E) SISTER
Rationale: A is the sister of B and B is the daughter of C.
So, A is the daughter of C. Also, D is the father of C.
So, A is the granddaughter of D.
Answer: D
Answer: (D) Granddaughter
Question: In the diagram shown, the number of rectangles of all
sizes is
(A) 11
(B) 15
(C) 7
(D) 13
(E) 9
Rationale: We systematically count rectangles by searching for groups of rectangles that are of similar size.
The largest rectangles in the diagram are all roughly the same size and overlap in pairs.
There are 3 of these; each is shaded black and shown below
Rectangle 2 (shown above) consists of 4 small rectangles.
We shade these rectangles black and label them 4; 5; 6; 7, as shown below
Together, Rectangle 4 and Rectangle 5 (shown above) create Rectangle 8, shown below.
Similarly, Rectangle 6 and Rectangle 7 together create Rectangle 9, shown below.
Finally, Rectangle 4 and Rectangle 6 (shown above) together create Rectangle 10, shown below.
Similarly, Rectangle 5 and Rectangle 7 together create Rectangle 11, shown below.
There are no other rectangles that can be formed.
In total, there are 11 rectangles in the given diagram.
correct answer A
Answer: (A) 11
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 5% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
(A) 5%
(B) 10%
(C) 15%
(D) 25%
(E) 35%
Rationale: 60-(x+5+z) + 50-(x+5+y) + 35-(z+5+y) + x + +y + z +5 = 100
where x = people who bought MilkChicken
y = people who bought chickenApples
z= people who bought Milk and Apples
x+y+z= the number of people who bought just exactly two products.
Hence solving the above equation we get,
135 -(x+y+z) = 100
Thus, x+y+z= 35
Answer: E
Answer: (E) 35%
Question: If one-third of one fourth of a number is 15, then three-tenth of that number is:
(A) 35
(B) 25
(C) 45
(D) 54
(E) 52
Rationale: Let the number be x. Then,
1/3 of 1/4 of x = 15
x = 15 * 12 = 180
So, required number = (3/10 * 180) = 54.
ANSWER:D
Answer: (D) 54
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
(A) 2.5 sec
(B) 2.9 sec
(C) 1.3 sec
(D) 2.9 sec
(E) 1.8 sec
Rationale: Speed = 144 * 5/18
= 40 m/sec
Time taken = 100/40
= 2.5 sec.
Answer:A
Answer: (A) 2.5 sec
Question: If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?
(A) 30%
(B) 40%
(C) 50%
(D) 70%
(E) 80%
Rationale: (Explanation:Friends, we know we will need gain amount to get gain percent, right.
So lets get gain first.
Let the cost price of 1 pen is Re 1 Cost of 8 pens = Rs 8 Selling price of 8 pens = 12
Gain = 12 - 8 = 4 Gain%=(GainCost*100)%=(48*100)%=50%
C
Answer: (C) 50%
Question: Today is Monday. After 29 days, it will be :
(A) Tuesday
(B) Saturday
(C) Monday
(D) Sunday
(E) Wednesday
Rationale: Each day of the week is repeated after 7 days.
So, after 28 days, it will be Monday
After 29 days, it will be Tuesday
Answer is A
Answer: (A) Tuesday
Question: A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 36 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
(A) 6 2/3
(B) 15
(C) 20
(D) 25
(E) 40
Rationale: Here is how I did it:
The cyclist travels 36 miles in 60 mins, so in 5 mins he will travel [(36*5)/60] miles, which equals 3 miles in 5 mins.
Now the hiker travels 4 miles in 60 mins. To travel 3 miles, he will take [(60*3)/4] = 45 mins.
Hence 45-5 = 40 mins
E
Answer: (E) 40
Question: Pipe A can fill a tank in 4 hours, pipe B in 12 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled ?
(A) 2.8 hours
(B) 2 hours
(C) 3.5 hours
(D) 3 hours
(E) None of these
Rationale: Explanation:
Part filled by A in 1 hour = 1/4
Part filled by B in 1 hour = 1/12
Part filled by C in 1 hour = 1/40
Part filled by (A+B+C) in 1 hour =
1/4+1/12+1/40=43/120
So all pipes will fill the tank in 2.8 hours.
Option A
Answer: (A) 2.8 hours
Question: Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
(A) 1/500
(B) 1/28
(C) 27/28
(D) 124/125
(E) 499/500
Rationale: There are 6 consonants and 2 vowels in FARTHING.
probability that at least one of the selected letters is a consonant = 1 - (Probability of both vowels)
Probability of both vowels = 2C2/8C2 = 1/28
So, Answer is 1 - 1/28 = 27/28 ------> C.
Answer: (C) 27/28
Question: A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
(A) 6cm
(B) 8.25cm
(C) 11.25cm
(D) 15.12cm
(E) 20.62cm
Rationale: Increase in volume = volume of the cube = 15*15*15 cm^3
Rise in water level = volume / area = 15*15*15/20*15 = 11.25cm
Answer is C
Answer: (C) 11.25cm
Question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
(A) 226
(B) 992
(C) 665
(D) 771
(E) 211
Rationale: (800*3*3)/100 = 72
920 + 72 = 992
Answer: B
Answer: (B) 992
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m3) is:
(A) 4830
(B) 5184
(C) 6420
(D) 8960
(E) 7960
Rationale: Clearly, l = (48 - 12)m = 36 m,
b = (36 -12)m = 24 m,
h = 8 m.
Volume of the box = (36 x 24 x 12) m3 = 5184 m3. Answer: Option B
Answer: (B) 5184
Question: Two people are playing with a pair of dice. Instead of numbers, the dice have different colors on their sides. The first person
wins if the same color appears on both the dice and the second person wins if the colors are different. The odds of their winning
are equal. If the first dice has 5 red sides and 1 blue side, find the colour(s) on the second one.
(A) 12
(B) 2
(C) 3
(D) 4
(E) 7
Rationale: Let no of red sides in second dice = x
No of blue sides = 6-x
Now since their odds are equal
(5/6)X(x/6)+(1/6)X((6-x)/6)=(5/6)X((6-x)/6)+(1/6)X(x/6)
=>x=3
So No. of red and blue faces on second dice will be equal i.e. 3
ANSWER:C
Answer: (C) 3
Question: When the integer k is divided by 7, the remainder is 4. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 3
II. 6k + 2
III. 8k + 4
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III
Rationale: k = 7j + 4
4k + 3 = 28j + 16 + 3 = 28j + 14 + 5
6k + 2 = 42j + 24 + 2 = 42j + 21 + 5
8k + 4 = 56j + 32 + 4 = 56j + 35 + 1
The answer is D.
Answer: (D) I and II only
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S?
(A) 3
(B) 6
(C) 9
(D) 18
(E) 22
Rationale: The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours
ANSWER:B
Answer: (B) 6
Question: What simple interest will produce Rs.84000 as in 4 years at 3 1/2 percent?
(A) 11500
(B) 12660
(C) 15220
(D) 11760
(E) 16520
Rationale: (84000*4*7/2)/100 = i
i = 11760
Answer: D
Answer: (D) 11760
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 6% higher then what would the sum amount in the same time period?
(A) Rs. 4465
(B) Rs. 3683
(C) Rs. 3596
(D) Data inadequate
(E) Rs. 3944
Rationale: 3422=2900+(2900*R*3/100)
R=6
If R is 6 more.
Then R=12
Sum=2900+(2900*12*3/100)
Sum=3944
ANSWER:E
Answer: (E) Rs. 3944
Question: Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?
(A) 10%
(B) 12.5%
(C) 15%
(D) 17.5%
(E) 20%
Rationale: Let X be total number of votes.
Given 1618 = 20/100(X) => X = 8090.
Now 30%(8090) = 2427.
Difference now is 2427-1618 = 809
809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.
Answer: option A is correct answer..
Answer: (A) 10%
Question: If a particular player is always chosen, in how many ways can a cricketbe chosen out of 15 players?
(A) 1267
(B) 1348
(C) 1321
(D) 1342
(E) 1365
Rationale: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.
=. Required number of ways = 14C10 = 14C4
= 14!/4!x19! = 1365
E
Answer: (E) 1365
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A.?
(A) 16
(B) 12
(C) 15
(D) 20
(E) 10
Rationale: (A+B)-(B-C)=12
A-C=12
Answer is B
Answer: (B) 12
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
(A) 7 years
(B) 9 years
(C) 4 years
(D) 6 years
(E) 2 years
Rationale: Explanation:
100 ---- 300 --- 3
900 --- 3
----
6 years
Answer: Option D
Answer: (D) 6 years
Question: By selling a bat for Rs.630/- a man loses 10% what is that bat cost price
(A) s.600/-
(B) s.630/-
(C) s.700/-
(D) s.780/-
(E) s.800/-
Rationale: 90 % ------> 630 (90 * 7 = 630)
100 % ------>700 (100 * 7 = 700)
Cost price = Rs.700/-
C)
Answer: (C) s.700/-
Question: in a soccer bet,we play 4 teams.first team odd 1.28,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
(A) 219.5
(B) 223.0
(C) 235.01
(D) 266.74
(E) 669.0
Rationale: in the case we won the bet,we have:
1.28* 5.23* 3.25* 2.0*5.00=219.50
we will win 223
so correct answer is B
Answer: (B) 223.0
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
(A) 4!
(B) 8!
(C) 9!
(D) 10!
(E) 12!
Rationale: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: (B) 8!
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
(A) 8 hours 15 mins
(B) 8 hours
(C) 9 hours
(D) 7 hours
(E) 6 hours
Rationale: Pages typed by Anil in 1 hour = 32/6 = 16/3
Pages typed by Suresh in 1 hour = 40/5 = 8
Pages typed by Anil and Suresh in 1 hour = 16/3 + 8 = 40/3
Time taken to type 110 pages when Anil and Suresh work together = 110 × 3 /40 = 33/4
= 8 ¼ hours = 8 hour 15 minutes
Answer is A.
Answer: (A) 8 hours 15 mins
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ?
(A) 175 seconds
(B) 195 seconds
(C) 155 seconds
(D) 227 seconds
(E) 115 seconds
Rationale: Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
0.128 : 1 :: 29 : x => x = {\color{Blue} \frac{29\times 1}{0.128}}
=> x = 226.56
So time will be approx 227 seconds
Answer: D
Answer: (D) 227 seconds
Question: Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
(A) 0.49
(B) 0.6
(C) 0.448
(D) 0.5
(E) 0.52
Rationale: probability of adams approval = 0.7
baker approval =0.4
corfu approval=0.4
proabability of approval is must adam approval and atleast one approval
= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+
adam approval*baker not approval*coffu approval( atleast one remaining approval
= 0.7*0.4*0.4+0.7*0.4*0.6+0.7*0.6*0.4
=0.112+0.168+0.168
=0.448
C
Answer: (C) 0.448
Question: The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
(A) 25 kmph
(B) 13 kmph
(C) 65 kmph
(D) 55 kmph
(E) 14 kmph
Rationale: Speed of the boat in still water
= (30+80)/2
= 55 kmph. Speed of the stream
= (80-30)/2
= 25 kmph.
Answer: A
Answer: (A) 25 kmph
Question: 2, 3, 6, 0, 10, -3, 14, (...)
(A) -6
(B) 8
(C) -2
(D) 4
(E) 10
Rationale: There are two series
2, 6, 10, 14, ... (Adding 4)
3, 0, -3, ... (Subtracting 3)
Hence, next term is -3 - 3 = -6
Answer is A
Answer: (A) -6
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.10 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
(A) 160
(B) 175
(C) 190
(D) 200
(E) 210
Rationale: Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.10 + X x 3.20 = 432
X = 30.
Hence, total hours of work = (160 + 30) = 190.
answer :C
Answer: (C) 190
Question: Two friends plan to walk along an 18-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Rationale: If Q complete x kilometers, then P completes 1.25x kilometers.
x + 1.25x = 18
2.25x=18
x = 8
Then P will have have walked 1.25*8=10 km.
The answer is A.
Answer: (A) 10
Question: The average of four consecutive even numbers is 27. find the largest of these numbers?
(A) 25
(B) 30
(C) 41
(D) 23
(E) 65
Rationale: Sol: let the numbers be x,x+2,x+4 and x+6. then,
(x+(x+2)+(x+4)+(x+6))/4) = 27
(4x+12)/4 = 27
x+3=27; x=24.
Therefore the largest number=(x+6)=24+6=30.
Ans: B
Answer: (B) 30
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
(A) 80%
(B) 160%
(C) 120%
(D) 124.2%
(E) 138%
Rationale: 0,16R = x/100*0.1R
Answer B
Answer: (B) 160%
Question: 2 dice are thrown simultaneously. Find the probability of getting a multiple of 2 on 1 dice and multiple of 3 on the second dice?
(A) 9/13
(B) 11/36
(C) 12/32
(D) 13/45
(E) 13/41
Rationale: 11/36
B
Answer: (B) 11/36
Question: John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase?
(A) 16%
(B) 100%
(C) 17%
(D) 17.61%
(E) 17.56%
Rationale: Increase = (60/60)*100 = (6/6)*100 = 100%.
B
Answer: (B) 100%
Question: A professional gambler has won 40% of his 25 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
(A) 20
(B) 25
(C) 30
(D) 35
(E) 40
Rationale: Initially the person has played 25 games with probablity of winning as 40%
Thus, number of games won = 10
Later when the probability of winning changes to 80% and assuming x games were played by him:
Total number of win, 60% of all games =0.6(x+25)=10+0.8x=0.6(x+25)=10+0.8x
0.2x=50.2x=5
x=25 x=25
so, he has to play 25 games.
Alternatively, this could be solved by allegation method.
B = 25games ;ANSWER:B
Answer: (B) 25
Question: If two-third of a bucket is filled in four minutes then the time taken to fill the bucket completely will be .
(A) 90 seconds
(B) 70 seconds
(C) 60 seconds
(D) 100 seconds
(E) 6 minutes
Rationale: 2/3 filled in 4 mint
1/3 filled in 2 mint
then 2/3+1/3=4 + 2 = 6 minutes
ANSWER: E
Answer: (E) 6 minutes
Question: Can you tell Which of the following fractions is the largest?
(A) 5/6
(B) 11/14
(C) 12/15
(D) 17/21
(E) 29/35
Rationale: another way is by taking LCM of denominators(2*3*5*7)
(a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just multiply 5*7 to numerator) ,similarly
(b) 165
(c)168
(d)170
(e)174
clearly (a) is largest..
Ans A
Answer: (A) 5/6
Question: The product of two positive integers is 323 and their difference is 2. What is the smaller number?
(A) 17
(B) 18
(C) 16
(D) 19
(E) 14
Rationale: Let's use trial and error to find the two numbers.
20*18 = 360 (too high)
19*17 = 323
The answer is A.
Answer: (A) 17
Question: A merchant marks his goods up by 20% and then offers a discount of 5% on the marked price. What % profit does the merchant make after the discount?
(A) 8%
(B) 6 %
(C) 21%
(D) 14%
(E) 17%
Rationale: Let the price be 100.
The price becomes 120 after a 20% markup.
Now a discount of 5% on 120.
Profit=114-100
14%
answer D
Answer: (D) 14%
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
(A) 187888
(B) 276889
(C) 267777
(D) 504000
(E) 297112
Rationale: B's monthly income = 15000 * 112/100 = Rs. 16800
B's monthly income = 2 parts ----> Rs. 16800
A's monthly income = 5 parts = 5/2 * 16800 = Rs. 42000
A's annual income = Rs. 42000 * 12 = Rs.504000
Answer:D
Answer: (D) 504000
Question: Vinod climbs 60 steps in 40 seconds. At that rate, how many steps could he climb in 150 seconds?
(A) 223
(B) 221
(C) 222
(D) 224
(E) 225
Rationale: Solution:
Let's calculate the steps he climbs per second: 60:40 = 1.5
So he climbs 1.5 steps per second.
For 150 seconds Vinod climb: 1.5 × 150 = 225
Answer E
Answer: (E) 225
Question: Bookman purchased 60 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 660, how many paperback copies were sold?
(A) 22
(B) 24
(C) 26
(D) 28
(E) 30
Rationale: The bookman had 10 hardback ad 60-10=50 paperback copies;
14 copies were sold, hence 60-14=46 copies were left. Let # of paperback copies left be p then 10p+20(46-p)=660 --> 10 p=260 --> p=26
# of paperback copies sold is 50-26=24
Answer: B
Answer: (B) 24
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 6 is rolled?
(A) 25/216
(B) 50/216
(C) 25/72
(D) 25/36
(E) 5/6
Rationale: Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 6, there are three ways:
A 6 on the first roll and non 6 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 6 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C)
Answer: (C) 25/72
Question: Company A imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
(A) 420
(B) 840
(C) 800
(D) 1680
(E) 2100
Rationale: Answer A.
We are told that 10% of all imported widgets are made of brass and of those, 20% are green and 40% are red. Since we know that there are only three colors, the remaining 40% must be blue. 40% blue of 20% brass widgets leads to 8% blue brass widgets out of the total 10,550 widgets.
10,000 /100 * 8 = 800.
Answer C.
Answer: (C) 800
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
(A) 1/9
(B) 1/7
(C) 1/5
(D) 1/1
(E) 1/2
Rationale: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer:B
Answer: (B) 1/7
Question: Some of the people in Town A are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town A, three times as many people are tall as are tall in Town A, three times as many people are both as are both in Town A, but no one is neither. If the total number of people in Town A is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town A who are neither left-handed nor tall?
(A)  23
(B)  39
(C)  72
(D)  143
(E)  199
Rationale: Yes, correct answer is indeed D.
{A}={Left} + {Tall} - {Both} + {Neither};
{Y} = 3*{Left} + 3*{Tall} - 3*{Both};
Since the total number of people in Town A is four times greater than the total number of people in Town Y, then:
{Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both});
{Neither}=11*({Left} + {Tall} - {Both}), which means that # of people in Town A who are neither left-handed nor tall must be a multiple of 11.
Only answer choice D, is a multiple of 11: 143=11*13.
Answer: D.
Answer: (D)  143
Question: What is the difference between the local value of 6 and 6 in the number 2664?
(A) 540
(B) 377
(C) 288
(D) 277
(E) 112
Rationale: Explanation:
600 â€“ 60 = 540
Answer: A
Answer: (A) 540
Question: Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: Taking the prices of products in ascending order(already arranged)
$50, $50, $97, $97, $97, $120, $155, $155, $155, $199, $199
we see that median value is the 6th value as there in total 11 values given
Arithmetic mean = total/number of entries = 1374/11 =124.9090
We are asked to find how many unit sales on that day were greater than the mean sale price but less than the median sale price
as we can clearly see that there is no value between $120 and $124.90, answer is 0 unit
Correct Answer - A
Answer is A.
Answer: (A) 0
Question: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is not an even ?
(A) 1/2
(B) 1/4
(C) 2/3
(D) 2/5
(E) 3/7
Rationale: Total number of cases = 6*6 = 36
Favourable cases = [(1,3),(1,5),(1,1),(3,1),(3,3),(3,5),(5,1),(5,3),(5,5)] = 9
So Probability = 9/36 = 1/4
Answer is B
Answer: (B) 1/4