RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: he ratio between the sale price and the cost price of an article is 5:1. What is the ratio between the profit and the cost price of that article?
A.2:6
B.2:9
C.2:4
D.2:1
Answer: D.2:1
Explanation: Let C.P. = Rs. x and S.P. = Rs. 5x.
Then, Gain = Rs. 4x
Required ratio = 2x : x = 2:1
Answer:D
Question: Maggie has to buy 50 toys from a toy shop. She buys 13 hoola hoops, 15 beach balls, and 12 baseball bats. What percentage of Toys has she not bought ?
A.26 %
B.34 %
C.30 %
D.20 %
Answer: D.20 %
Explanation: Explanation :
Toys not bought = 50 - 13 - 15 - 12 = 10
Toys not bought percentage (10/50 x 100) %
Answer : D
Question: 20 men can dig a tunnel in 30 days. If after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel?
A.10
B.15
C.20
D.25
Answer: A.10
Explanation: A
Remaining work can be completed by 20 men in 30-10 = 20 days.
If 20 men can do X work in 20 days, and let us say 40 men take N days to do the same work.
Now, more men, less number of days (inversely proportion)
20 : 40 :: N : 20
N = 20 X 20 / 40 = 10 days.
Question: A car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A.24
B.26
C.28
D.30
Answer: D.30
Explanation: 36 * T = 1 km => T = 1/36 km/h
V*(T+20/3600) = 1
V (1/36 + 20/3600) = 1
V (120/3600) = 1
V = 30 km/h
The answer is D.
Question: A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?
A.30%
B.20%
C.23%
D.74%
Answer: A.30%
Explanation: 900 ---- 270
100 ---- ? =>
30%
Answer:A
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
A.17 hours
B.18 hours
C.14 hours
D.19 hours
Answer: C.14 hours
Explanation: Part filled in 2 hours = 2/6 = 1/3.
Remaining part = 1 - 1/3 = 2/3
(A + B)'s 1 hour work = 2/21
C's 1 hour work = [(A + B + C)'s 1 hour work - (A + B)'s 1 hour work]
= (1/6 - 2/21) = 1/14
C alone can fill the tank in 14 hours.
Answer:C
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?
A.28
B.24
C.22
D.20
Answer: A.28
Explanation: 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 A
Question: A bus can hold 60 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
A.6
B.5
C.3
D.2
Answer: B.5
Explanation: No. of seats = 60/12 = 5
There are 5 seats in each row
Answer : B
Question: If John invested $ 1 at 4 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
A.(1.5)^4
B.(1.04)^5
C.(1.05)^4
D.1 + (0.05)^4
Answer: B.(1.04)^5
Explanation: In this prompt, the answer choices show that we don't actually have to calculate anything - we just need to 'format' the calculation correctly. We're told that the interest is COMPOUNDED ANNUALLY, so we need the Compound Interest Formula, with a Principal of $1, an R of 4% (which would 'translate' as .05) and a T of 5.We'd have....
B
Question: Marco rode his dirt bike at 35 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride?
A.14 mph
B.20 mph
C.70/3 mph
D.80/3 mph
Answer: D.80/3 mph
Explanation: Average speed for first two hours, S1 = 35 mph
Distance travelled in these two hours, D1 = 70 miles
Average speed for the entire 5 hour ride, S = 30 mph
Total Distance traveller in the entire 5 hour ride, D = 30 x 5 = 150 miles.
Hence, distance traveller in the latter 3 hour period, D2 = D - D1 = 150 - 70 = 80
Average speed for the latter 3 hour period S2 = D2/3 = 80/3
Hence, the correct answer is D
Question: Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and three wrenches is one-third that of 8 hammers and 4 wrenches, then the total weight of one wrench is how many times that of one hammer?
A.1/2
B.2/5
C.1
D.3/2
Answer: B.2/5
Explanation: x bé the weight of a hammer and y be the weight of a wrench.
(2x+3y)=1/3*(8x+4y)
3(2x+3y)=(8x+4y)
6x+9y=8x+4y
5y=2x
y=2x/5
Ans - B
Question: At a certain conference, 70% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
A. 18.0%
B. 62.0%
C. 77.76%
D. 80.0%
Answer: C. 77.76%
Explanation: I do not think that Venn will be helpful here. A table will make more sense. But here is my approach.
70% regestered at least 2 weeks and paid full fee.
10% paid full fee and did not registered at least 2 weeks in advance. Then 90% paid full fee and registered at least 2 weeks before.
90% *X=70% where X is the number of people who registerd 2 weeks in advance and paid full fee.(ANSWER C)
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?
A.$24,000
B.$26,000
C.$28,000
D.$30,000
Answer: D.$30,000
Explanation: The customer receives $50 for the first $5000.
The customer receives $100 for the next $5000.
Let x be the total amount of the customer's annual charge.
$150 + 0.03(x-10,000)=0.025x
0.005x=150
x=30,000
The answer is D.
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk?
A.63
B.44
C.58
D.60
Answer: A.63
Explanation: First day - 18 miles with 3 miles per hours then total - 6 hours for that day
Second day - 4 miles per hour and 5 hours - 20 miles
Third day - 5 miles per hour and 5 hours - 25 miles
Total 18+20+25 = 63
Answer: option A.
Question: A reduction of 10% in the price of oil enables a house wife to obtain 6kgs more for Rs.900, what is the reduced price for kg?
A.13
B.15
C.25
D.17
Answer: B.15
Explanation: 900*(10/100) = 90 ---- 6
? ---- 1 => Rs.15
Answer:B
Question: Given that x = 2^b – (8^31 + 16^5), which of the following values for b yields the lowest value for |x|?
A.91
B.92
C.93
D.94
Answer: C.93
Explanation: 8^31 + 16^5 = 2^93 + 2^20
Compared to 2^93, the value of 2^20 is negligible.
2^93 - (2^93 +2^20) will minimize the value of |x|.
The answer is C.
Question: In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?
A.Only 20% of the total members own three cars each.
B.48% of the total members own only one car each.
C.60% of the total members own at least two cars each.
D.80% of the total members own at least one car.
Answer: B.48% of the total members own only one car each.
Explanation: Let total number of members be 100,
Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.
ANSWER:B
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A.Rs.1000
B.Rs.1500
C.Rs.2000
D.Rs.3000
Answer: C.Rs.2000
Explanation: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
C)
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
A.3.34
B.3.36
C.3.34
D.6.32
Answer: A.3.34
Explanation: Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m.Answer:A
Question: You make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes.
Now, if someone takes one layer of cubes, how many will remain?
A.357
B.834
C.500
D.512
Answer: D.512
Explanation: D
512
The cube that remains will be 8 x 8 x 8. This will make a total of 512. This is because, when a layer is taken, it will be taken from all sides of the cube which will reduce the dimension be two and not one.
Question: Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by 31.50. Each sum was :
A.1,200
B.600
C.750
D.900
Answer: D.900
Explanation: Difference of S.I. = √31.50
Let each sum be x. Then
x×4 1/2×7 /100−x×4×7/100=31.50
or 7⁄100x × 1⁄2 = 63⁄2
or x = 900
Answer D
Question: A student must answer 6 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 6 questions are available to the student?
A.150
B.200
C.210
D.170
Answer: B.200
Explanation: as there is ONLY one possiblity of choosing 6 out of 10, while choosing less than 3 in first five
choose 2 in first 5 and all 4 from later half..
ways = 5C2 = 10..
total ways = 10C4 = 210
ans = 210-10 = 200
B
Question: Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: One monkey takes 12 min to eat 1 banana , so in 72 mins 1 monkey will eat 6 bananas , so for 72 bananas in 72 min we need 72/6 =12 monkeys
ANSWER:D
Question: A shipment of 8 TV sets contains 4 black and white sets and 4 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
A.1/7
B.11/14
C.5/14
D.11/28
Answer: B.11/14
Explanation: 4/8 * 3/7 = 12/56
1-(12/56) = 44/56 = 11/14
Answer B
Question: If x and y are integers and x + y = 3, which of the following must be true?
A.If x < 0, then y > 0.
B.x and y are consecutive integers.
C.If x > 0, then y < 0.
D.Both x and y are even.
Answer: A.If x < 0, then y > 0.
Explanation: In option C if x > 0,then y<0 means x is +ve and y is -ve
In option B if x < 0, then y>0 means y is +ve and x is -ve, both are same and satisfying x+y = 5.
How option A is right could you explain
Question: What is the 4 digit number whose second digit is thrice the first digit and 3rd digit is sum of 1st and 2nd and last digit is thrice the second digit.
A.2674
B.1349
C.3343
D.3678
Answer: B.1349
Explanation: let four digits is a,b,c&d ...so by given
b is 3a
c is 4a
d is 9a so
ans is 1349
ANSWER:B
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 250 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
A.250/3
B.750
C.400
D.480
Answer: B.750
Explanation: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?
W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.
If X = 250 then Y = 750
ANSWER:B
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b + 4| + |ab - b| = ?
A.a) ab - 4
B.b) 2b - a - 4
C.c) ab - 2b - 4
D.d) ab - 2b + 4
Answer: C.c) ab - 2b - 4
Explanation: |a| = -a Suggests that 'a' is Negative
|ab| = ab Suggests that 'ab' is Positive
'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative
But since 'a' is Negative therefore 'b' is Negative too.
Since b is negative so |b - 4| = -b-4
Since ab is Positive and b is Negative so |ab - b| = ab - b
i.e. |b + 4| + |ab - b| = -b-4 + ab - b =ab - 2b - 4
Answer: Option C
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: 2/5 + (2 + x)/10 = 1 => x = 4 days
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?
A.9%
B.10%
C.11%
D.12%
Answer: B.10%
Explanation: Let X be the percentage decrease in fox jeans
pony jeans = 22- X
(15*x/100)*3 + (18(22-X)/100)*2 = 9 ........... given
45X/100 + 792-36x/100 = 9
9x+792/100 = 9
9x+ 792 = 900
9x= 108
X = 12 = fox jeans
hence pony jeans = 22-12 = 10
ANSWER:B
Question: The workforce of Company nokia is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
A.130
B.135
C.150
D.145
Answer: D.145
Explanation: let x be the total worker then 0.6x =female worker and 0.4x is male worker then 20 male worker added
06x/(0.4x +20) = 50/100 or 60x = 50*( 0.4x+100) = 20x+ 5000 or 40x = 5000 , x = 125
total worker = 125 +20= 145
D
Question: For a lottery, three numbers are drawn, each from 1 to 40. A player can win if the product of his or her three numbers is odd. Initially, the same number may be picked up to three times. Later, the rules are changed so that each number may only be picked once. Approximately how much does this reduce a person's probability of winning?
A.01
B.025
C.115
D.125
Answer: A.01
Explanation: (1/2)∗(1/2)∗(1/2))−((1/2)∗(19/39)∗(18/38))((1/2)∗(1/2)∗(1/2))−((1/2)∗(19/39)∗(18/38))
((1/8)−(9/78))((1/8)−(9/78))
(0.125−approx.0.1111)(0.125−approx.0.1111)
Approximately 0.010.01
ANSWER :A
Question: In a car company, the company made A type cars numbering 20% of B type cars. What is the number of B type of cars as a percentage of A type cars?
A.7%
B.5%
C.8%
D.16%
Answer: B.5%
Explanation: A type cars made in a company is 20% of B type of cars
If B type of cars=10
A type of cars=2
We are asked to find the number of B type of cars as a percentage of A type of cars
B/A=10/2=5%
Answer is B
Question: If 2^(2w) = 8^(w−1), what is the value of w?
A.3
B.6
C.9
D.12
Answer: A.3
Explanation: 2^(2w) = 8^(w−1)
2^(2w) = 2^(3*(w−1))
2^(2w) = 2^(3w-3)
Let's equate the exponents as the bases are equal.
2w = 3w-3
w = 3
The answer is A.
Question: Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
A.2 : 3
B.4 : 3
C.6 : 7
D.9 : 16
Answer: B.4 : 3
Explanation: Let the slower train have speed of 1 unit and faster train a speed of
r units of speed.
Let t = time to when the trains meet.
rt 1t
Howrah|-----------------------|----------| Patna
meet
They meet rt units from Howrah and 1t units from Patna
For the second part of the journey the fast train at speed r has 1t
unit of distance and 9 hours to do it
So 1t/r = 9
Slow train has rt units of distance at speed of 1 unit and 16 hours
to do it.
rt/1 = 16
So rt/1 16
----- = ---- giving r^2 = 16/9
1t/r 9
r = 4/3
ANSWER:B
Question: The jogging track in a sports complex is 528 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
A.5.29 min
B.3.84 min
C.5.08 min
D.9.28 min
Answer: B.3.84 min
Explanation: Clearly, the two will meet when they are 528 m apart.
To be (4.5 + 3.75) = 8.25 km apart, they take 1 hour.
To be 528 m apart, they take (100/825 * 528/1000) hrs = (528/8250 * 60) min = 3.84 min.
Answer: B
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 10 inches. Find the % correction made by the candidate from his stated height to his actual height?
A.10
B.20
C.17.5
D.43
Answer: C.17.5
Explanation: His height was = 5 feet 5 inch = 10 + 60 = 70 inch. Required % correction =70*(1.25-1) = 17.5
C
Question: The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.220 m
B.225 m
C.245 m
D.250 m
Answer: A.220 m
Explanation: Let the length of the bridge:L
The equation now is L+155/12.5m/s(45km/hr or12.5m/s)=30
Solving, L =220m
ANSWER:A
Question: If (6)(x^2) has four different prime factors, at most how many different prime factors does x have?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: x can have at most 4 prime factors, namely the prime factors 2 and 3, plus 2 others.
If x had more than this number of prime factors, then (6)(x^2) would have more than 4 prime factors.
The answer is D.
Question: In the formula P = 3/(r+3)^3, if r is halved, then P is multiplied by
A.125/64
B.125
C.1/64
D.64/125
Answer: A.125/64
Explanation: Say r=2 => P1 = 3/125
when r=1; P2 = 3/64
P2 = 125/64*P1.
Answer : A
Question: If a 3-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?
A.6
B.18
C.84
D.108
Answer: C.84
Explanation: 1st member can be selected in 9 ways
2nd can be selected in 8 ways
3rd can be selected in 7 ways
So total ways : 504
But to avoid the similar scenarios 504/3!=84
ANS:C
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
A.Rs. 16,500
B.Rs. 16,525.50
C.Rs. 16,537.50
D.Rs. 18,150
Answer: C.Rs. 16,537.50
Explanation: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year
Amount = [15000 * (1 + 5/100)2]
= (15000 * 21/20 * 21/20) = Rs. 16537.50
ANSWER:C
Question: Two trains X and Y (80 km from each other) are running towards each other on the same track with a speed of 40km/hr. A bird starts from the train X and travels towards train Y with constant speed of 100km/hr. Once it reaches train Y, it turns and starts moving toward train X. It does this till the two trains collides with each other. Find the total distance traveled by the bird?
A.120
B.100
C.240
D.232
Answer: B.100
Explanation: B
100 km
Velocity of approach for the two trains = (40 + 40) km/hr
Total time the trains will take to collide = 80km/80km/hr = 1 hour
Total distance travelled by the bird = 100km/hr * 1hr = 100 km.
Question: For what value of â€œkâ€ will the equation (2kx2 + 7kx +2)=0 have equal roots?
A.2/7
B.16/49
C.16/25
D.7/1
Answer: B.16/49
Explanation: for a 2nd degree equation ax2+bx_c=0 has equal roots the condition is b2-4ac =0
in the given equation
(7k)^2-4*2k*2=0
by solving this equation
we get k=0, k=16/49
ANSWER:B
Question: Ed throws a blue die and a red die. How many combinations are there in which the two dice do not yield the same result and the sum of the results is not 9?
A.10
B.24
C.26
D.30
Answer: C.26
Explanation: Total number of combination is 6*6 = 36..
Condition 1: we shouldn't get the same number... (1,1)(2,2)(3,3)(4,4)(5,5)(6,6) - 6 combinations.
condition 2: We shouldn't get the 9 as the sum (4,5)(5,4)(3,6)(6,3) - 4 combinations...
Total = 36 - 10 = 26.
ANS option C.
Question: A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
A.1
B.5
C.7
D.8
Answer: B.5
Explanation: Explanation:
\inline \fn_jvn [(100\times 35)+(200\times 5)] men can finish the work in 1 day
\inline \fn_jvn \therefore 4500 men can finish the work in 1 day. 100 men can finish it in \inline \fn_jvn \frac{4500}{100} = 45 days.
This is 5 days behind Schedule
Answer: B
Question: A goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds. What is the length of the goods train?
A.230 m
B.270m
C.240m
D.832m
Answer: C.240m
Explanation: Speed =	(72 x	5/18)m/sec	= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,	x + 280/26	= 20
x + 280 = 520
x = 240.
Answer:C
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
A.8002
B.8000
C.2869
D.2790
Answer: B.8000
Explanation: x*110/100 * 90/100 = 7920
X*0.99=7920
X=7920/0.99
=> 8000
Answer:B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 25kmph. What time will they take to be 50km apart?
A.1.42hr
B.2.22hrs
C.3.24hrs
D.5hrs
Answer: A.1.42hr
Explanation: To be (10+25) km apart, they take 1 hour
To be 50 km apart, they take 1/35*50 = 1.42 hrs
Answer is A
Question: A started a business with 4500 and another person B joined after some period with 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1
A.After 3 months
B.After 4 months
C.After 6 month
D.After 2 1⁄2 months
Answer: A.After 3 months
Explanation: Let B joined after x months.
Then, 4500 × 12 : 3000 (12 – x) = 2 : 1
Ratio of their investments
4500×12/3000(12−x)=21=21 ⇒ x = 3
Answer A
Question: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
A. 1155
B. 2310
C. 4620
D. 30030
Answer: B. 2310
Explanation: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310.
Answer: B.
Question: Naomi was ordering yarn from a discount web site. If she ordered more than $50 worth of
yarn labeled “discountable”, she could take an extra 10% from the price of that yarn. Only
some of the yarn she ordered was eligible for the discount. Here is what Naomi ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%. How much did Naomi pay for her yarn?
A.$116.64
B.$216.64
C.$316.64
D.$416.64
Answer: A.$116.64
Explanation: 8 x $8.40 = $67.20 (All money is rounded to hundredths at each step.)
7 x $5.99 = $41.93
$67.20 + $41.93 = $109.13 discountable
$109.13 x .10 = $10.91 (rounded)
$109.13 - $10.91 = $98.22 for discounted yarn
2 x $2.50 = $5.00 for un-discounted
$98.22 + $5.00 = $103.22 cost of yarn
$103.22 x 1.13 = $116.64 with tax and shipping
(5% + 8% = 13%)
correct answer A
Question: A rectangular tiled patio is composed of 50 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 50 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
A.5
B.6
C.10
D.13
Answer: B.6
Explanation: r*c=50 and (6+4)(7-2)=50 --> r=6 and c=7.
Answer: B.
Question: How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
A.120
B.240
C.360
D.540
Answer: B.240
Explanation: Jason can select his seat in 2 Ways (two aisles)
His 1st of 4 friends have 5 seats to select =>
His 2nd of remaining 3 friends will have 4 seat to chose from...and so on
Total ways => 2*5*4*3*2*1 = 240
ANS:B