RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Jill, who lives in City C, plans to visit 6 different cities, M,N,O,P, L, and S. She plans to visit each city exactly once and return to City C after the 6 visits. She can visit the cities in any order. In how many different orders can she visit the 6 cities?
A. 3
B. 720
C. 800
D. 900
Answer: B. 720
Explanation: 6! = 720=B
Question: What number has a 4:1 ratio to the number 100?
A.40
B.200
C.400
D.800
Answer: C.400
Explanation: 4:1 = x: 100
x = 4*100
x=400
ANSWER:C
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 6 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
A.25 5/7
B.36
C.34 2/7
D.34 5/7
Answer: A.25 5/7
Explanation: Cement:Gravel:Sand = 7:10:13 --> total of 7+10+13 = 30 parts.
If we use 6 tons of cement, then we'll get 6/7*30 = 25 5/7 tons of mixture.
Answer: A.
Question: If a truck is traveling at a constant rate of 108 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
A.20
B.24
C.30
D.36
Answer: A.20
Explanation: Speed = 108 Km/hr =>108,000 m/hr
In one minute => 108000/60 = 1800 meters
In one sec => 1800/60 = 30 meters
Time = Total distance need to be covered / Avg. speed
=> 600/ 30 =20 and hence the Answer : A
Question: The probability of pulling a black ball out of a glass jar is 1/V. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
A.1/(XY)
B.V/Y
C.Y/X
D.1/(X+Y)
Answer: B.V/Y
Explanation: P of pulling a black ball out of a glass jar AND breaking the jar = 1/Y
P of pulling a black ball out of a glass jar is 1/V
Lets say P of breaking the jar = n
That means 1/V*n=1/Y
n= V/Y
B is the answer
Question: The two lines y = x and x = -7 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z?
A.16
B.8√2
C.8
D.7/√2
Answer: D.7/√2
Explanation: 800score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-7, -7) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(7 × 7) = 49/2; so z = 49/2.
The next step requires us to find the length of a side of a cube that has a face area equal to 49/2. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 49/2. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 49/2. Clearly s = √49/2 = 7/√2 , oranswer choice (D).
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?
A.4.58 kms
B.6.35 kms
C.5.76 kms
D.5.24 kms
Answer: C.5.76 kms
Explanation: Explanation:
Speed in still water = 6 kmph
Stream speed = 1.2 kmph
Down stream = 7.2 kmph
Up Stream = 4.8 kmph
x/7.2 + x/4.8 = 1
x = 2.88
Total Distance = 2.88 x 2 = 5.76 kms
ANSWER IS C
Question: Find the simple interest on Rs.945 for 5 months at 4 paisa per month?
A.s.325
B.s.500
C.s.200
D.s.189
Answer: D.s.189
Explanation: Explanation:
I = (945*5*4)/100 = 189
Answer: Option D
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 27 km/hr in the same direction. In how much time will the train pass the jogger?
A.76 sec
B.72 sec
C.98 sec
D.36 sec
Answer: B.72 sec
Explanation: Speed of train relative to jogger = 27 - 9 = 18 km/hr.
= 18 * 5/18 = 5 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/5 =72 sec.
Answer:B
Question: Five people are running in a race. The first one to finish wins a gold medal, the second wins a silver medal and the third wins a bronze medal. How many different arrangements of medal winners, in order from first to third, are possible?
A.5
B.10
C.60
D.120
Answer: C.60
Explanation: Assuming no ties in the race :
The Gold Medal can be given in 5 ways
The Silver Medal can be given in 4 ways
The Bronze Medal can be given in 3 ways
So total number of ways = 5 * 4 * 3 = 60
Answer - C
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A.6 years
B.9 years
C.9 years
D.4 years
Answer: D.4 years
Explanation: 28 * 2 = 56
20 * 3 = 60
-----------
4 years
Answer: D
Question: In how many ways the word "KIT" can be arranged?
A.6
B.8
C.18
D.21
Answer: A.6
Explanation: Explanation :
The required number of ways = 3!
= 6
Answer : A
Question: A letter lock consists of three rings each marked with seven different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A.342
B.269
C.215
D.177
Answer: A.342
Explanation: Since each ring consists of seven different letters, the total number of attempts possible with the three rings is
= 7*7*7 = 343. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts = 342- 1
= 342
Answer:A
Question: interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
A.10%
B.10.25%
C.10.6%
D.10.75%
Answer: B.10.25%
Explanation: Let the sum be Rs. 100. Then,
S.I. for first 6 months= Rs. (100x10x1) / ( 100x2 ) –Rs. 5
S.I. for last 6 months =Rs. (105x10x1)/(100x2) =Rs.5.25
So amount at the end of 1 year =Rs.(100+5+5.25) = Rs. 110.25
Effective = (110.25-100) =10.25%
answer :B
Question: What is the remainder when 1031*1047*1050*1053 is divided by 33?
A.3
B.24
C.30
D.21
Answer: B.24
Explanation: take the remainder from each of 1031/33, 1047/33 and so on..
1031/33 gives remainder = 8
1047/33 gives remainder = 24
1050/33 gives remainder = 27
1053/33 gives remainder = 30
the net remainder is the product of above individual remainders. i.e =8*24*27*30
break them into pairs 8*24/33 gives remainder 27
and 27*30/33 gives remainder 18
so 27*18/33 gives remainder 24.
B
Question: If k is an integer and 0.0010101 x 10^k is greater than 10, what is the least possible value of k?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: 0.0010101 * 10^k > 10
We need to move the decimal point to the right 4 places to get 10.101
This is equivalent to multiplying by 10^4.
The answer is C.
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 10 cms?
A.187
B.476
C.268
D.2975
Answer: D.2975
Explanation: Area of the room =3.5 * 8.5 = 29.75
Area of the tile = 0.1 *0.1=0.01
No. of tiles = 29.75/0.01 = 2975
Answer : D
Question: In the interior of a forest, a certain number of apes equal to the square of one-fifthhth of the total number are playing and having great fun. The remaining four apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
A.48
B.16
C.5 or 20
D.80
Answer: C.5 or 20
Explanation: Let total number be x
No in the interior = (x/5)^2
No outside = 4
So : x - (x/5)^2=4
x^2-25x+100=0
(x-20)(x-5)=0
So either x=5 or x=20
C
Question: If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c
A.12 : 15 : 9
B.10 : 15 : 21
C.14 : 12 : 21
D.2 : 15 : 7
Answer: B.10 : 15 : 21
Explanation: EXPLANATION:
a : b : c = (2 x 5) : ( 3 x 5) : (3 x 7) = (10) : (15) : (21)
ANSWER IS B
Question: Alex is shuffling a pack of cards (54 cards in total) and after some time, he takes out a joker card.
Now, he splits the remaining cards into two piles. Can you find out the probability where one of the piles has a sequence of card from A to K in order?
A.5/6227020800
B.4/6227020800
C.3/6227020800
D.1/6227020800
Answer: D.1/6227020800
Explanation: Solution:
1/6227020800
This can be solved through a simple mathematical equation.
N cards have n! permutations.
Therefore, the probability of obtaining a specific one by chance is 1/n!
Now, in this particular case, n = 13
Therefore, the required probability is 1/6227020800
Answer D
Question: 30^10 / 90^5=?
A.6^5
B.5^6
C.3^6
D.10^5
Answer: D.10^5
Explanation: 30^10 / 90^5=?
A. 6^5
B. 5^6
C. 3^6
D. 10^5
E. 15^3
-> 30^10 / 90^5=(30^10)/(3^5)(30^5)=(30^5)/(3^5)=(3^5)(10^5)/(3^5)=10^5.
Thus, D is the answer.
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store’s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
A.100p/(125-p)
B.150p/(250-p)
C.300p(375-p)
D.400p(500-p)
Answer: D.400p(500-p)
Explanation: This problem can be easily solved by picking numbers. The explanation given in the OG can be very laborious.
Lets say the number of newspaper A sold = 20, so revenue from A = 20 and the number of newspaper sold from B = 80, so revenue from B = 100. Now total revenue =120 out of which 20 came from A. So
r = 20/120 = 1/6 = 16.7% and p = 20
A) 100*20/(125-20) -> Incorrect
B) 150*20/(250-20) -> Incorrect
C) 300*20/(375-20) -> Incorrect
D) 400*20/(500-20) = 8/48 = 1/6*100 = 16.7% - > Correct
E) 500*20/(625-20) -> Incorrect
So Ans D
Question: A is thrice as good work than as B. Together they can finish a work in 6 days.In how many days A alone do the work?
A.6 days
B.10 days
C.13 days
D.2 days
Answer: A.6 days
Explanation: Explanation:
Ratio of their work = 1:3
1x+3x=6
4x=6
X=24
24/4=6
6:18
Answer: Option A
Question: A bowl was filled with 10 ounces of water, and 0.008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
A.0.004%
B.0.04%
C.0.40%
D.4%
Answer: D.4%
Explanation: Total amount of water evaporated each day during a 50-day period = .008 * 50
=.008 * 100/2
= .8/2
= .4
percent of the original amount of water evaporated during this period = (.4/10) * 100%
= 4 %
Answer D
Question: The sale price sarees listed for Rs.450 after successive discount is 20% and 15% is?
A.321
B.276
C.306
D.265
Answer: C.306
Explanation: Explanation:
450*(80/100)*(85/100) = 306
Answer: C
Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 20 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
A.20
B.22
C.24
D.26
Answer: B.22
Explanation: C = A + B
D = 3C = 3(A+B) = 4B
Then B = 3A and C = 4A
The combined rate of the four machines is A + 3A + 4A + 12A = 20A
Machine A can complete the work in 440 minutes, so its rate is 1/440 of the work per minute.
The combined rate is 20/440 = 1/22 so the work will be completed in 22 minutes.
The answer is B.
Question: First column specifies the No of Days prior to departure information. Second column specifies the Percentage discount offered.
0 - 6 days ==> 0%
7 - 13 days ==> 10%
14 - 29 days ==> 25%
30 days or more ==> 40%
The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for $ 1050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days before her departure did she purchase her ticket.
A.6
B.7
C.13
D.14
Answer: D.14
Explanation: First I figured out the percentage change from the immediate previous amount for each of the period.Thus it comes-
0 - 6 days ==> 0%
7 - 13 days ==> 10% (90% of the price)
14 - 29 days ==> 17% (approx) (went from 90% to 75%)
30 days or more ==> 20% (went from 75% to 60%)
If the passenger had to pay the extra amount, she had to pay=(210+1050)=1260
now 210 is somehow between 10% and 20% of 1260. So 17% is the choice here.
correct ans: 14 days
ANSWER:D
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
A.227
B.267
C.128
D.860
Answer: D.860
Explanation: CP = SP + 1CP = SP - g
800 + x = 980 - 2x
3x = 180 => x = 60
CP = 800 + 60 = 860
Answer: D
Question: The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $20 more, the corresponding ratio would have been 5:3. How much was the oil bill for January?
A.$100
B.$120
C.$140
D.$160
Answer: B.$120
Explanation: 3:2 = 9:6 and 5:3 = 10:6.
An increase in $20 increases the ratio by 1:6.
Therefore, January's bill was 6($20) = $120.
The answer is B.
Question: A rectangular tank can hold k litres of water.How many litres of water can tank hold if all dimensions doubles.
A.8k liters
B.7k litrs
C.9k litrs
D.5k litrs
Answer: A.8k liters
Explanation: let dimensions of tank are x*y*z=xyz
so xyz can hold k litres of water
now dimensions are doubled i.e 2x*2y*2z=8xyz
as xyz holds k litres,so 8xyz will hold 8*k=8k litres of water
ans 8k litrs
ANSWER:A
Question: A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $4680. What is the average monthly balance maintained by John in his
account during the year?
A. 2840
B. 5680
C. 23400
D. 7540
Answer: C. 23400
Explanation: bank balance is doubled with accumulation of interest tp 4680..
this means INTEREST is 4680/2=2340 for entire year..
although since interest is 10% of avg MONthly balance, it becomes 23400..
C
Question: A train crosses a bridge of length 150 m in 7.5 seconds and a lamp post on the bridge in 2.5 seconds. What is the length of the train in metres?
A.37.5 m
B.75 m
C.25 m
D.80 m
Answer: B.75 m
Explanation: Let Length of Train = L
Case-1: Distance = 150+L (While crossing the bridge)
Time = 7.5 Seconds
i.e. Speed = Distance / Time = (150+L)/7.5
Case-2: Distance = L (While passing the lamp post)
Time = 2.5 Seconds
i.e. Speed = Distance / Time = (L)/2.5
But Since speed has to be same in both cases so
(150+L)/7.50 = (L)/2.5
i.e. 3L = L + 150
i.e. 2L = 150
i.e. L = 75
Answer: option B
Question: John invested $ 10,000 in a savings bank account that earned 2% simple interest. Find the interest earned if the amount was kept in the bank for 4 years.
A.600
B.800
C.850
D.900
Answer: B.800
Explanation: Principle P = $ 10,000 Time Period T =4 years and Rate of Interest = 2% = 0.02
Plugging these values in the simple Interest formula,
I = PX T X R
= 10,000 X 4 x 0.02
= $ 800
Interest earned for the investment = $ 800
answer :B
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $80 to incur a loss 20%?
A.45
B.36
C.40
D.50
Answer: C.40
Explanation: Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a loss of 20%: $80*(100% + 20%) = $96
Number of articles to be sold for $96 to incur a 20% loss: $96/ $2.40 = 40
Thus, solution C is correct.
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
A.180
B.170
C.190
D.175
Answer: A.180
Explanation: P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 655 - (P + Q + R) = 360
Average of the last two numbers = (S + T)/2 = 180.
ANSWER A
Question: Tomy's age 20 years hence will be thrice his age four years ago. Find Tomy's present age?
A.12 years
B.16 years
C.15 years
D.17 years
Answer: B.16 years
Explanation: Let MTomy's present age be 'x' years.
x+ 20 = 3(x- 4)
=> 2x = 32 => x = 16 years.
B
Question: The surface of a cube is 24sq cm. Find its volume?
A.8cc
B.9cc
C.2cc
D.4cc
Answer: A.8cc
Explanation: 6a2 = 24
a = 2 => a3 = 8cc
Answer: A
Question: An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 18 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
A.189%
B.240%
C.280%
D.300%
Answer: A.189%
Explanation: If the purchase price was 6$ per share then the investor would have made a profit of 200%.
Since the purchase price is slightly more than 6$ the profit would be slightly less than 200%.
Also a 2% brokerage is negligible and it brings down the profit percentage only by a small value. Approximation is very useful to solve these kind of problems as the answer choices are far apart.
Answer: A
Question: If 10 litres of an oil of Rs.50 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
A.Rs.49.17
B.Rs.51.03
C.Rs.54.17
D.Rs.55.33
Answer: D.Rs.55.33
Explanation: 50*10 = 500
66*5 = 330
830/15 = 55.33
ANSWER:D
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 300 points, how many points is the third question worth?
A.22
B.24
C.26
D.20
Answer: D.20
Explanation: x
x+4
x+8
x+12
x+16
x+20
x+24
x+28
x+32
x+36
10x+180=300
10x=120
x=12
3rd question = x+8 = 12+8 = 20
Answer D
Question: A 12 month project had a total budget of $42,000. After eight months, the project had spent $23,700. At this point, how much was the project under budget?
A.$4100
B.$4300
C.$4500
D.$4700
Answer: B.$4300
Explanation: Each month, the project should spend $42,000 / 12 = $3500.
In 8 months, the project should spend 8*$3500=$28,000.
The project is under budget by $28,000 - $23,700 = $4300.
The answer is B.
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 9 people all together .how many people can sit in a bus?
A.52
B.49
C.95
D.90
Answer: D.90
Explanation: Right Side =15 seat
Left Side =15-3 (3 few seat in right side)= 12 seat
Total= 15+12= 27
People can seat in 27 seat= 27*3=81
People can seat in Last Seat = 9
Total People can seat= 81+9=90
ANSWER:D
Question: The cost of carpeting a room 18 m long with a carpet 75 cm wide at 4.50 per metre is 810. The breadth of the room is:
A.7 m
B.7.5 m
C.8 m
D.8.5 m
Answer: B.7.5 m
Explanation: Length of the carpet = TotalCost/Rate/m
= (8100⁄45)m = 180 m.
Area of the room = Area of the carpet
= (180 × 75⁄100) m2 = 135 m2
∴ Breadth of the room = AreaLength=135/18m
= 7.5 m
Answer B
Question: Average of prime numbers ranging 1 to 50 is?
A.23
B.22.86
C.21.86
D.21
Answer: C.21.86
Explanation: Explanation:
Average = (2+3+5+7+11+13+17+19+23+29+31+37+41+43+47)/15 = 328/15= 21.8666
Answer is C
Question: Find the compound ratio of (3:4), (4:5) and (1:2) is
A.1:2
B.2:3
C.3:10
D.4:10
Answer: C.3:10
Explanation: Required ratio = 3/4 * 4/5 * 1/2 = 3/10= 3:10
Answer is C
Question: A sum fetched a total simple interest of Rs. 6016.75 at the rate of 8 p.c.p.a. in 5 years. What is the sum?
A.Rs. 16241.875
B.Rs. 15041.85
C.Rs. 15401.875
D.Rs. 15041.875
Answer: D.Rs. 15041.875
Explanation: Explanation:
Principal = Rs 100 x 6016.75/ 8 x 5
= Rs. 601675/40
= Rs. 15041.875
Answer: Option D
Question: A woman can do a piece of work in 40 days. Man is 25% more efficient than Woman. In how many days a man can do the same piece of work?
A.32 days
B.33 days
C.35 days
D.54 days
Answer: A.32 days
Explanation: The ratio of the efficiencies of a woman and man = 100 : 125
= 4 : 5
The ratio of the days taken by woman and man to finish the work = 5 :4
Woman takes 32 days to finish the work.=> 5 parts = 40
The number of days taken by man to finish the work = 4 parts = 40/5x 4 = 32 days
A
Question: A train is 510 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A.76 seconds
B.18 seconds
C.52 seconds
D.19 seconds
Answer: C.52 seconds
Explanation: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 510+140 = 650 meter
Time = Distance/speed
= 650 * (2/25)
= 52 seconds
Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
A.5/21
B.5/28
C.5/25
D.5/23
Answer: A.5/21
Explanation: Number of ways of (selecting at least two couples among five people selected)
As remaining person can be any one among three couples left.
Required probability
= (10 * 6)/252 = 5/21
Answer: A
Question: 2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it?
A.78
B.98
C.88
D.68
Answer: B.98
Explanation: B
98
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Question: A train 110 m long is running with a speed of 80 km/hr. In what time will it pass a man who is running at 8 km/hr in the direction opposite to that in which the train is going?
A.5
B.6
C.4.5
D.8
Answer: C.4.5
Explanation: Speed of train relative to man = 80 + 8 = 88 km/hr.
= 88 * 5/18 = 220/9 m/sec.
Time taken to pass the men = 110 * 9/220 = 4.5 sec.
Answer: Option C
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
A.9
B.10
C.12
D.13
Answer: D.13
Explanation: Explanation:
abcbcd=3851001=>ad=513
abcbcd=3851001=>ad=513
So d = 13
D
Question: Of a certain group of 100 people, 40 graduated from High School K, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School K, did not graduate from College Y, and do not live in City Z ?
A. 5
B. 15
C. 35
D. 65
Answer: C. 35
Explanation: 1. k+y+z+ky+yz+kz+kyz+ none=100. Fornoneto be maximum others have to be minimum
2. We know the underlined portions sum to 65 and that is the minimum value of others
3. Maximumnone= 100-65=35=C
Question: Find compound interest on $ 12000 at 15% per annum for 2 years 4 months, compounded annually.
A.4663.5
B.4203.5
C.4303.5
D.4403.5
Answer: A.4663.5
Explanation: Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = $ [12000 X (1+­(15/100))2 X (1+((1/3)*15)/100)]
=$ [12000 * (23/20) * (23/20) * (21/20)]
= $ 16663.50	.
:. C.I. = Rs. (16663.50 - 12000) = $ 4663.50
Answer A.
Question: Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 40% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
A.2 to 6
B.1 to 3
C.3 to 5
D.3 to 4
Answer: A.2 to 6
Explanation: Correct Answer: A
Solution: A. We know that when Pam and Stanley were both working, the ratio was 2 boxes by Pam to 3 boxes by Stanley. We also know that Stanley continued working after Pam stopped. He packed as many boxes alone as he had packed whlie working with Pam, effectively doubling his number of boxes. Thus, the ratio of Pam's boxes to Stanley's boxes is 2 to 6. Answer A is correct.
Question: Let d > c > w > a. If c is twice as far from a as it is from d, and w is twice as far from c as it is from a, then (d - w)/(d - a) = ?
A.2/9
B.1/3
C.2/3
D.7/9
Answer: D.7/9
Explanation: Draw a number line and label with x and y. You would have:
Before calculating recognize it would be more effcient to express x or y in terms of the other. here 2x = 3y so x =3/2 y.
Now you can calculate d -w and d -a
d - w= x +2y = 7/2 y
d - a = x + 2x = 3x = 9/2y
Dividing both you get: 7/9
Answer D