mathewhe/aqua_rat huggingface dataset:
Question: In an election, candidate Douglas won 58 percent of the total vote in Counties X and Y. He won 64 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
(A) 15%
(B) 18%
(C) 25%
(D) 36%
(E) 46%
Rationale: given voters in ratio 2:1
let X has 200 votersY has 100 voters
for X 64% voted means 64*200=128 votes
combined for XY has 300 voters and voted 58% so total votes =174
balance votes=174-128=46
As Y has 100 voters so 46 votes means 46% of votes required
Ans E
Answer: (E) 46%
Question: Evaluate: 40 - 10÷2×2 =
(A) 20
(B) 25
(C) 10
(D) 16
(E) 30
Rationale: According to order of operations, 10÷2×2 (division and multiplication) is done first from left to right
10÷2×2 = 5 × 2 = 10
Hence
40 - 10÷2×2 = 40 - 10 = 30
correct answer E)30
Answer: (E) 30
Question: Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $100 per month and Plan B costs $200 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?
(A) 25%
(B) 30%
(C) 37.5%
(D) 56.25%
(E) 75%
Rationale: We can show this algebraically:
If there are A customers with plan A, and B customers with plan B, then the total revenue is $100A + $200B.
Since the average customer pays $75, we know that
$150 = ($100A + $200B) / (A + B)
$150(A + B) = ($100A + $200B)
$150A + $150B = $100A + $200B
$50A = $50B
A = B.
Since there are Equal times as many $100 clients as $200 clients, for every $200 received from Plan B customers, $100 is received from Plan A customers, and the percent of revenue from customers with Plan A is:
$100/($100 + $200) = $100/$300 = 30%.
Answer B
Answer: (B) 30%
Question: Oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 9 feet long, 8 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank?
(A) 60
(B) 70
(C) 80
(D) 90
(E) 100
Rationale: The volume the tank is: length*width*depth = 9*8*5= 360 cubic feet.
360 cubic feet / 4 cubic feet per hour = 90 hours.
It will take 90 hours to fill the tank.
The answer is D.
Answer: (D) 90
Question: Divide 675 to A and B in ratio 5:4.
(A) 400,275
(B) 300,375
(C) 325,350
(D) 375,300
(E) 350,325
Rationale: Addition of ratio no.=9
Part of A=[675×5/9]=375 and part of B=[675×4/9]=300
Answer D
Answer: (D) 375,300
Question: A teacher gave the same test to three history classes: K, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
(A) 74
(B) 75
(C) 76
(D) 77
(E) 78
Rationale: Ans : B (75)
lets say class K indeed has 4 children, B has 6 children and C has 5 children.
now, if the average of class K is 65, hence total marks awarded in the class = 65*4=260
Similarly,
class B = 80*6 = 480
class C = 77*5 = 385
total marks provided = K+B+C = 260+480+385 = 1125
avg. marks = 1125 / 15 (total no. of students) = 75=B
Answer: (B) 75
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution Q in the liquid in the tank after 3 minutes?
(A) 1/11
(B) 2/11
(C) 3/11
(D) 4/11
(E) 5/11
Rationale: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by B in 3 minutes = 3/20
Required ratio = 3/20 * 20/11 = 3/11
Answer:C
Answer: (C) 3/11
Question: If m is the average (arithmetic mean) of the first 10 positive multiples of 6 and if M is the median of the first 10 positive multiples of 6, what is the value of M – m ?
(A)  –5
(B)  10
(C)  5
(D)  0
(E)  27.5
Rationale: The first 10 positive multiples of 6 is an evenly spaced set. One of the most important properties of evenly spaced set (aka arithmetic progression) is:in any evenly spaced set the arithmetic mean (average) is equal to the median.
Hence M=m --> M-m=0.
Answer: D.
Answer: (D)  0
Question: A can do a piece of work in 6 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
(A) 8.7 days
(B) 2.0 days
(C) 6.6 days
(D) 7.5 days
(E) 4.4 days
Rationale: C = 1/2 - 1/6 - 1/5 =2/15
=> 7.5 days
Answer: D
Answer: (D) 7.5 days
Question: Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999 ?
(A) 50000
(B) 40000
(C) 25000
(D) 15200
(E) 15000
Rationale: Explanation:
Shekhar : Rajeev : Jatin
=(25000Ã—12+35000Ã—12+45000Ã—12) :(35000Ã—24) :(35000Ã—12)
=1260000:840000:420000=3:2:1.
Rajeev's share = Rs. (150000Ã—2/6) = Rs. 50000.
Answer IS A
Answer: (A) 50000
Question: The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 5:2. The marks obtained by Polly and Willy are in the ratio of...?
(A) 2:1
(B) 3:2
(C) 4:3
(D) 5:4
(E) 6:5
Rationale: Polly : Sandy = 3:5
Sandy : Willy = 5:2
Polly : Sandy : Willy = 3:5:2
Polly : Willy = 3:2
The answer is B.
Answer: (B) 3:2
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
(A) 80%
(B) 85%
(C) 96%
(D) 125%
(E) 150%
Rationale: Explanation:
I II III
120 125 100
125----------120
100-----------? => 96%
ANSWER IS C
Answer: (C) 96%
Question: Rahul rented a power tool from a rental shop. The rent for the tool was $40 for the first hour and $20 for each additional hour. If Rahul paid a total of $160, excluding sales tax, to rent the tool, for how many hours did she rent it?
(A) 1
(B) 4
(C) 9
(D) 7
(E) 3
Rationale: 40 + 20n = 160
n = 6
Total time = n+1 hrs = 6+1 hrs = 7 hrs
Answer : D
Answer: (D) 7
Question: In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
(A) 4 years
(B) 6 years
(C) 8 years
(D) 9 years
(E) 12 years
Rationale: Explanation :
Let Simple Interest for Rs.150 at 6% for n years = Simple Interest for Rs.800 at 4½ % for 2 years
150×6×n/100=800×9/2×2/100
150×6×n=800×9/2×2
150×6×n=800×9
3×6×n=16×9
6×n=16×3
2×n=16
n=8 years
Answer : Option C
Answer: (C) 8 years
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
(A) 7 sec
(B) 6 sec
(C) 1 sec
(D) 7 sec
(E) 9 sec
Rationale: Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
Answer:B
Answer: (B) 6 sec
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
(A) 22
(B) 12
(C) 67
(D) 20
(E) 81
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.
Answer:D
Answer: (D) 20
Question: When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
(A) 20%
(B) 40%
(C) 50%
(D) 53.85%
(E) 100%
Rationale: we should be careful about what are we measuring % on/what is the base..
let the Marked up price =100..
Selling price= 100-40%of 100=60..
profit= 30%..
therefore the wholesale purchase cost= x.... 1.3x=60
or x=46.15...
marked price was 100 so ...
so answer is 53.85%..
D
Answer: (D) 53.85%
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 24,000 earned at the end of 2 years from the starting of the business?
(A) A)7500
(B) B)7389
(C) C)7200
(D) D)7453
(E) E)7637
Rationale: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 24000 * 3/10 = Rs.7200.
Answer: C
Answer: (C) C)7200
Question: How many 7-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 1234321.
(A) 100
(B) 610
(C) 729
(D) 9000
(E) 1000
Rationale: Take the task of building palindromes and break it intostages.
Stage 1: Select the 7th digit
We can choose 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 1 in 9ways
Stage 2: Select the 6th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 2 in10ways
Stage 3: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 3 in10ways
Stage 4: Select the 5th digit
We can choose 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
So, we can complete stage 4 in10ways
IMPORTANT: At this point, the remaining digits are alreadylocked in.
Stage 5: Select the hundreds digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 6: Select the tens digit
This digit must be the SAME as the thousands digit (which we already chose in stage 2)
So, we can complete this stage in1way.
Stage 7: Select the units digit
This digit must be the SAME as the ten-thousands digit (which we already chose in stage 1)
So, we can complete this stage in1way.
By theFundamental Counting Principle(FCP), we can complete all 5 stages (and thus build a 7-digit palindrome) in(9)(10)(10)(10)(1)(1)(1)ways (= 9000 ways)
Answer: D
Answer: (D) 9000
Question: P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
(A) Rs. 2520/-
(B) Rs. 2800/-
(C) Rs. 3150/-
(D) Rs. 4120/-
(E) None of these
Rationale: Explanation:
Ratio of capitals in the beginning = 1/3 : 1/4 : 1/5 = 20 : 15 :12
Suppose A, B, C invest Rs 20x, Rs 15x and Rs 12x Respectively
A : B : C = (20x * 4 + 10x * 8) : (15x * 12) : (12x * 12)
= 160x : 180x : 144x = 160 : 180 : 144 = 40 : 45 : 36
A’s Share = Rs(8470 * 40/125) = Rs 2800/-
Answer: Option B
Answer: (B) Rs. 2800/-
Question: If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
(A) 100m
(B) 1/100m
(C) 1/m
(D) 10/m
(E) 10000/m
Rationale: x is m% of y, then x = m/100(y)
y = 100x/m
y/x = 100x/m/x * 100% = 10000/m %
ANSWER:E
Answer: (E) 10000/m
Question: A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
(A) 12 days
(B) 6 days
(C) 5 days
(D) 4 days
(E) None of these
Rationale: Explanation:
In this type of question, where we have one person work and together work done. Then we can easily
get the other person work just by subtracting them. As
Son's one day work =
(1/3−1/4)=(4−3)/12=1/12
So son will do whole work in 12 days
Answer: A
Answer: (A) 12 days
Question: What is the difference between the compound interest on Rs.12000 at 22% p.a. for one year when compounded yearly and half yearly?
(A) 399
(B) 383
(C) 120.2
(D) 288.2
(E) 145.2
Rationale: When compounded annually, interest
= 12000[1 + 22/100]1 - 12000 = Rs.2640
When compounded semi-annually, interest
= 12000[1 + 11/100]2 - 12000 = Rs.2785.20.
Required difference = 2785.20 - 2640 = Rs.145.20
Answer: E
Answer: (E) 145.2
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
(A) 3 hours
(B) 6 hours
(C) 7 hours
(D) 4 hours
(E) 8 hours
Rationale: B
6 hours
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
Answer: (B) 6 hours
Question: A can run 224 meter in 28 seconds and B in 32 seconds. By what distance A beat B?
(A) 28 meter
(B) 24 meter
(C) 34 meter
(D) 32 meter
(E) 38 meter
Rationale: Clearly, A beats B by 4 seconds
Now find out how much B will run in these 4 seconds
Speed of B = Distance/Time taken by B=224/32=28/4=7 m/s
Distance covered by B in 4 seconds = Speed × time =7×4=28 meter
A beat B by 28 meter
ANSWER:A
Answer: (A) 28 meter
Question: A 10-by-8 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
(A) The volume of the cylinder with height 10 is 80/pi cubic inches greater than the volume of the cylinder with height 6.
(B) The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
(C) The volume of the cylinder with height 10 is 80pi cubic inches greater than the volume of the cylinder with height 6.
(D) The volume of the cylinder with height 8 is 80pi cubic inches greater than the volume of the cylinder with height 10.
(E) The volume of the cylinder with height 8 is 240/pi cubic inches greater than the volume of the cylinder with height 10.
Rationale: Pretty straightforward. Plug in the values to compute the volume of the cylinder. Keep in mind 8 and 10 are the circumference of the base and not the radius. B is the right answer.
Answer: (B) The volume of the cylinder with height 8 is 80/pi cubic inches greater than the volume of the cylinder with height 10.
Question: Which of the following MUST yield an integer when divided by 3?
(A) The sum of three consecutive positive integers.
(B) The square of a prime number.
(C) The sum of two odd integers.
(D) The product of three consecutive odd numbers.
(E) The difference between a multiple of 8 and a multiple of 3.
Rationale: For option A: Let the numbers be (x-1), (x), (x+1), .
Now, (x-1) + (x) + (x+1) = 3(x). Hence A is true. No need to check other answers since there can only be one correct answer.
So, Ans(A).
Answer: (A) The sum of three consecutive positive integers.
Question: The greatest number by which the product of three consecutive multiplies of 3 is always divisible is
(A) 54
(B) 81
(C) 162
(D) 243
(E) None
Rationale: Sol.
Required number = Product of first three multiplies of 3
= (3 × 6 × 9) = 162.
Answer C
Answer: (C) 162
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball?
(A) 2 cm
(B) 5/2 cm
(C) 5 cm
(D) 15/2 cm
(E) none of the these
Rationale: similar triangle properties..
2/r+10 = 10/r-10
giving r = 15/2.
Answer: D
Answer: (D) 15/2 cm
Question: Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
(A) A) 40%
(B) B) 10%
(C) C) .4%
(D) D) 50%
(E) E) 12%
Rationale: Ratio of boys to total attendance (2/7)
Ratio of girls to total attendance (5/7)
percentage increase is (difference/initial quantity)*100
(2/7)/(5/7 )* 100= 40%
Correct answer is A
Answer: (A) A) 40%
Question: Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30750/-?
(A) Rs.24600
(B) Rs.25640
(C) Rs.24250/-
(D) Rs.23200
(E) None of these
Rationale: Explanation:
125% of CP = Rs.30750
:. CP = Rs.30750x100/125 = Rs.24600.
Answer: Option A
Answer: (A) Rs.24600
Question: Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do
(A) 1/3
(B) 4/13
(C) 9/23
(D) 8/29
(E) 10/29
Rationale: given the ratio of the time of y and x is 2/3 : 1
therefore the ratio of speed of the x and y becomes 2 : 3.
similarly the ratio of the speed of the z and y given as 4 : 3
therefore the speed of the y and z becomes 3 : 4.
now , comparing the ratio of the x,y and z
it becomes 2: 3 :: 3 : 4
hence the y is doing 3/9 hence it is doing 1/3 work.
ANSWER:A
Answer: (A) 1/3
Question: In how many ways, a committee of 8 members can be selected from 10 men and 8 ladies, consisting of 5 men and 3 ladies?
(A) 15000
(B) 14567
(C) 14112
(D) 13445
(E) 14431
Rationale: (5 men out 10) and (3 ladies out of 8) are to be chosen
Required number of ways = 10C5*8C3 = 14112
Answer is C
Answer: (C) 14112
Question: One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
(A) 8 miles
(B) 12 miles
(C) 10 miles
(D) 11 miles
(E) 14 miles
Rationale: First, determine how far Adrienne has walked in the one hour. She has walked three miles which means she is three miles ahead of Harold when he sets off. Harold walks at four miles/hour which means that every hour, Harold will get one mile closer to Adrienne. If he gets one mile closer every hour, it will take him three hours to catch up to her which means he travels 3hours * 4 miles/hour = 12 miles and she travels 4 hours * 3 miles/hour = 12 miles. He will be 12 miles from X when he catches up to her.
A slightly different way to solve...
We don't know how long they will walk before they catch up to one another but we do know that A walks for one hour more than J. J = T and A = T+1. We are looking for the distance at which they meet up which means the distance will be the same. D=r*t so,
r*t (Harold ) = r*t (adrienne)
r*(t) = r*(t+1)
4t = 3t+3
t=3
d=r*t
d=4*3
d=12
B) 12 miles
Answer: (B) 12 miles
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 1 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
(A) 1/364
(B) 2/455
(C) 1/91
(D) 4/455
(E) None of these
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and one yellow marbles.
Probability that all the three marbles picked at random are blue = 3C₃/14C₃ = (1 * 3 * 2 * 1)/(14 * 13 * 12) = 1/364
ANSWER:A
Answer: (A) 1/364
Question: If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?
(A)  27/4
(B)  27/8
(C)  3/4
(D)  3/16
(E)  1/4
Rationale: Say a = 2. Then:
a/b = 1/3 --> b = 6;
b/c = 2 --> c = 3;
c/d = 1/2 --> d = 6;
d/e = 3 --> e = 2;
e/f = 1/8 --> f = 16.
abc/def = (2*6*3)/(6*2*16) = 3/16.
Answer: D.
Answer: (D)  3/16
Question: Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
(A) $21,000
(B) $18,000
(C) $12,000
(D) $8000
(E) $4000
Rationale: 300+0.06(x-1000) = 0.08x
0.02x = 240
x = $12,000
The answer is C.
Answer: (C) $12,000
Question: A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
(A) $144
(B) $80
(C) $60
(D) $54
(E) $48
Rationale: The correct answer is B.
Answer: (B) $80
Question: Exactly 20% of the reporters for a certain wire service cover local politics in Country X. If 20% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
(A)  20%
(B)  42%
(C)  44%
(D)  75%
(E)  84%
Rationale: You are correct. People who cover local politics are a subset of people who cover politics.
20% of reporters who cover politics do not cover local politics so 80% DO cover local politics.
Reporters covering local politics= 80% of reporters covering politics= 20% ofall reporters
Reporters covering politics/All Reporters = 20/80 = 1/4
Reporters not covering politics/All Reporters = 3/4 = 75%=D
Answer: (D)  75%
Question: Set W consists of all even integers between 2 and 100, inclusive. Set X is derived by reducing each term in set W by 50, set Y is derived by multiplying each term in set W by 1.5, and set Z is derived by dividing each term in set W by -4. Which of the following represents the ranking of the three sets in descending order of standard deviation?
(A)  X, Y, Z
(B)  X, Z, Y
(C)  Y, Z, X
(D)  Y, X, Z
(E)  Z, Y, X
Rationale: Set W - {2, 4, ..., 100};
Set X - {-48, -46, ..., 50};
Set Y - {3, 6, ..., 150};
Set Z - {-2/4, -4/4, ..., -100/4} = {-1/2, -1, -3/2, ..., -25}.
If we add or subtract a constant to each term in a set the SD will not change, so sets W and X will have the same SD.
If we increase or decrease each term in a set by the same percent (multiply by a constant) the SD will increase or decrease by the same percent, so set Y will have 1.5 times greater SD than set W and set Z will have 4 times less SD than set W (note SD can not be negative so SD of Z wil be SD of W divided by 4 not by -4).
So, the ranking of SD's in descending order is: Y, W=X, Z.
Answer: D.
Answer: (D)  Y, X, Z
Question: Sonika deposited Rs.4500 which amounted to Rs.8400 after 2 years at simple interest. Had the interest been 4% more. She would get how much?
(A) 9680
(B) 8790
(C) 8760
(D) 9020
(E) 5000
Rationale: (4500*2*4)/100 = 360
8400
--------
8760
Answer: C
Answer: (C) 8760
Question: How many of the factors of 280 are divisible by 2?
(A) 4
(B) 8
(C) 10
(D) 12
(E) 16
Rationale: 280 = 2^3*5*7
The total number of factors is (1+3)(1+1)(1+1) = 16
The odd factors are 1, 5, 7, and 35.
The number of even factors is 16-4 = 12
The answer is D.
Answer: (D) 12
Question: The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 156.4, what is the average of the other half?
(A) 47.3
(B) 51.5
(C) 55.8
(D) 59.2
(E) 63.7
Rationale: The average of this half is 156.4/4 = 39.1
This is 4.1 below the overall average, thus the average of the other half of the numbers must be 4.1 above the overall age, that is 43.2+4.1 = 47.3
The answer is A.
Answer: (A) 47.3
Question: The very opening sentence of the passage speaks about the ‘semantic conspiracy’ which means linguistic intrigue; a trickery usage of language.
(A) 11
(B) 21
(C) 112
(D) 112
(E) 1111
Rationale: Answer:E
Answer: (E) 1111
Question: A mother bought three dress for her triplets daughters(one for each) and put the dresses in the dark. One by one the girls come and pick a dress.
What is the probability that no girl will choose her own dress?
(A) 1/2
(B) 3/4
(C) 2/3
(D) 1/3
(E) 2/4
Rationale: Assuming D1 is the dress for Sister1, D2 is the dress for Sister2 and D3 is the dress for Sister3.
Therefore the total number of cases are illustrated below.
Sister1 Sister2 Sister3
D1 D2 D3
D1 D3 D2
D2 D1 D3
D2 D3 D1 ..... (1)
D3 D1 D2 .... (2)
D3 D2 D1
In both steps (1) & (2), no one gets the correct Dress.
Therefore probability that no sister gets the correct dress is 2/6 = 1/3
correct answer is D)1/3
Answer: (D) 1/3
Question: A stock trader originally bought 100 shares of stock from a company at a total cost of m dollars. If each share was sold at 50% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
(A) a) 3m/300
(B) b) m/300
(C) c) m/200
(D) d) m/300 + 50
(E) e) 350/m
Rationale: Let Cost of 100 shares be $ 1000
So, Cost of 1 shares be $ 10 =>m/100
Selling price per share = (100+50)/100 * m/100
Or, Selling price per share = 3/2 * m/100 => 3m/200
Hence answer will be (A)
Answer: (A) a) 3m/300