RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many figures are required to number the pages the pages of a book containing 365 pages?
A.987
B.656
C.286
D.126
Answer: A.987
Explanation: Explanation:
1 to 9 = 9 * 1 = 9
10 to 99 = 90 * 2 = 180
100 to 365 = 266 * 3 = 798
-----------
987
Answer: A
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 72 on the exam is in what percentile of the school?
Choices
A.63rd percentile
B.68th percentile
C.84th percentile
D.96th percentile
Answer: B.68th percentile
Explanation: (78-65)/6.5 = 2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2 = 68th percentile
B
Question: Question: What is the remainder when T=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
A. 0
B. 25
C. 49
D. 81
Answer: D. 81
Explanation: 144 =12 *12
(1!)^3=1
2!=2, therefore (2!)^3=2*2*2=8
3!=6, therefore (3!)^3=6*6*6=216
4!=24 therefore (4!)^3= 24*24*24 which is completely divisible by 144
thus from 4! onwards each term will be divisible by 144 and will leave the remainder of 0
now the remainder when T=(1!)^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144 is same as, when 1+8+216 =225 is divided by 144
now remainder when 225 is divided by 144 is 81. hence answer should be D
Question: Billy lives in a town in which 75% of pets are dogs. Of the non-dog pets, 50% are cats. If there are 50 pets in town that are not cats or dogs, how many pets are there in town?
A.250
B.350
C.400
D.450
Answer: C.400
Explanation: Let x be the number of pets in town.Then N is the number of non-dog pets given byN = x - 75%xAnd P is the number of pets that aren't cats or dogs, given byP = N - 50%Nfor P = 50, solve for x50 = (x - 75%x) - 50%(x - 75%x)x = 400, correct answer C
Question: What is the dividend? The divisor is 800, the Quotient is 594, and the Remainder is -968.
A.6623
B.43036
C.51515
D.474232
Answer: D.474232
Explanation: Dividend=?
?=D * Q + R
?= 800 * 594 + -968
?= 475,200 + -968
?= 474,232
Question: A certain sum of money at simple interest amounted Rs.800 in 12 years at 3% per annum, find the sum?
A.337
B.268
C.198
D.588
Answer: D.588
Explanation: 800 = P [1 + (12*3)/100]
P = 588'
Answer:D
Question: Priya takes a trip and drives 5 hours from Town X to Town Z at a rate of 50 miles per hour. On her way back, Priya drives 60 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?
A.3.0
B.2.25
C.2.08
D.1.75
Answer: C.2.08
Explanation: distance from X to Z =5 hr* 50 mph= 250 miles
hence distance from Y to Z= 1/2*250=125
time=125/60=2.08 hrs
IMO: C
Question: Tough and Tricky questions: Word Problems.
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 7, when a # b = 100?
A.5
B.8
C.10
D.12
Answer: D.12
Explanation: OFFICIAL SOLUTION:
(B) We know that a # b = 100 and a # b = 4a² + 4b² + 8ab. So
4a² + 4b² + 8ab = 100
We can see that 4a² + 4b² + 8ab is a well-known formula for (2a + 2b)². Therefore
(2a + 2b)² = 100.
(2a + 2b) is non-negative number, since both a and b are non-negative numbers. So we can conclude that 2(a + b) = 10. (a + b) + 7 = 10/2 + 7 =12.
The correct answer is D.
Question: A number when divided by a divisor leaves a remainder of 27. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
A.12
B.13
C.35
D.40
Answer: D.40
Explanation: Let the number is N, the divisor = D,
I will make the two equations-
N = xD+27
2N = yD+11
where x and y are integers
Solving them: D(y-2x) = 40
as D is also integer and 40 is a prime number, the D should be 40 to satisfy the above equation.
Hence answer is 'D'
Question: Find the L.C.M of 6, 15, 24 and 20.
A.140
B.160
C.120
D.150
Answer: C.120
Explanation: Explanation:
2 x 3 x 5 x 2 x 2 = 120
Answer: Option C
Question: Solve the equation for time, "t" : 9(t + m) + 1 = 9(-t + m) + 19
A.1
B.-1
C.2
D.-2
Answer: A.1
Explanation: A
1
9(t + m) + 1 = 9(-t + m) + 19
9t + 9m +1 = -9t + 9m + 19
18t = 18
t = 1
Question: Of the 4 numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is?
A.36
B.40
C.48
D.52
Answer: C.48
Explanation: Let the first number be x
sum of the 4 numbers = x+4x = 5x
5x/4 = 60
x = 60*4/5 = 48
Answer is C
Question: A train covers a distance of 16 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A.m
B.m
C.m
D.m
Answer: C.m
Explanation: Speed = (16/10 * 60) km/hr
= (96 * 5/18) m/sec = 80/3 m/sec.
Length of the train = 80/3 * 6
= 160 m.
Answer:C
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
A.1267
B.1201
C.1200
D.1209
Answer: C.1200
Explanation: P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer: C
Question: The salaries of A and B together amount to $3000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
A.$1000
B.$1250
C.$2500
D.$2250
Answer: D.$2250
Explanation: Let A's salary is x
B's salary = 3000-x
(100-95)% of x = (100-85)% of (3000-x)
x = $2250
Answer is D
Question: If an object travels at 9 feet per second, how many feet does it travel in one hour?
A.32400
B.30000
C.32000
D.1800
Answer: A.32400
Explanation: If an object travels at 5 feet per second it covers 9x60 feet in one minute, and 9x60x60 feet in one hour.
Answer = 32400 Answer:A
Question: A used-book dealer sells paperback books at 3 times dealer's cost and hardback books at 4 times the dealer's cost. Last week, the dealer sold a total of 140 books, each of which had cost the dealer $1. If the gross profit (sales revenue minus the dealer's cost) on the sale of all of these books was $300, how many of the books sold were paperbacks?
A.100
B.110
C.120
D.130
Answer: C.120
Explanation: The dealer earns a profit of $2 per paperback and $3 per hardback.
If all 140 books were paperbacks, the dealer would earn a profit of $280.
Since the actual profit was $300, the dealer must have sold 20 hardbacks.
Then the number of paperbacks sold was 140-20 = 120.
The answer is C.
Question: A certain taxi company charges $3.00 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A.15.6
B.16.0
C.17.5
D.18.6
Answer: D.18.6
Explanation: A certain taxi company charges $3.00 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
1/5 miles = 0.2 miles.
The cost of 8 miles long ride would be $3.00 for the first 0.2 miles plus (8-0.2)/0.2*0.4 = $3.0 + $15.6 = $18.6.
Answer: D.
Question: In a mixture of 45 litres the ratio of milk to water is 4:1. Additional 11 litres of water is added to the mixture. Find the ratio of milk to water in the resulting mixture.
A.2/1
B.4/1
C.2/3
D.9/5
Answer: D.9/5
Explanation: Given that Milk/Water=4x/x and 4x+x=45 --> x=9.
Thus Milk=4x=36 liters and Water=x=9 liters.
New ratio = 36/(9+11) = 36/20 = 9/5.
Answer: D.
Question: The ratio 5:20 expressed as percent equals to
A.50 %
B.125 %
C.25 %
D.75 %
Answer: C.25 %
Explanation: Explanation:
Actually it means 5 is what percent of 20, which can be calculated as,
(5/20)*100 = 5 * 5 = 25
Answer: Option C
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability E that Kate has more than $10 but less than $15?
A.5/16
B.1/2
C.12/30
D.E=15/32
Answer: D.E=15/32
Explanation: For 21 heads Kate will end up with < $10 and we want her to win. Therefore, only possibilities are 3 or 4 heads.
I made an educated guess and it worked fine.
Ans- 'D'
MGMAT's anagram helped here as well.
HHHHT = 5!/4!*1! = 5
HHHTT = 5!/3!*2! = 10
Total acceptable cases = 15
Total cases = 32
P = 15/32=D
Question: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can be make out of this cloth?
A.300
B.360
C.400
D.None of these
Answer: A.300
Explanation: Solution
Length of each pieces	= (1 / 8) m
= 0.125 m
Required number of pieces(37.5/0.125)	= (375×100 / 125)
= 300.
Answer A
Question: Find 96 ×× 97
A.91/198
B.91/12
C.91/13
D.91/10
Answer: B.91/12
Explanation: Here both numbers are less than 100. So they are deficient of - 4 and - 3 compared with 100. So
Answer:	B
Question: The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 40, what is the greatest possible value that one of the other 2 integers can have?
A.55
B.65
C.119
D.109
Answer: C.119
Explanation: a + b + c + d = 200
a + b = 80
c + d = 120
Greatest possible = 119 (Just less than 1)
Answer = C
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
A.10
B.25
C.36
D.61
Answer: D.61
Explanation: Explanation:
a2 + b2 + ab = a2 + b2 + 2ab - ab
i.e., (a + b)2 - ab
from x2 - 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 - 20 = 61.
Answer D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
A.29
B.27
C.25
D.11
Answer: C.25
Explanation: A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 - 75)
= 25 points to C.
Answer:C
Question: The ratio of the age of a man and his women is 4:3. At the time of first meet theratio was 5:3 and After 4 years this ratio will become 9:7. How many yrs ago were they met?
A.10
B.12
C.15
D.16
Answer: B.12
Explanation: Let the present age of the man and his wife be 4x and 3x respectively.
After 4 years this ratio will become 9:7
⇒(4x+4):(3x+4)=9:7⇒7(4x+4)=9(3x+4)⇒28x+28=27x+36⇒x=8
Present age of the man =4x=4×8=32
Present age of his wife =3x=3×8=24
Assume that they got married before t years. Then,
(32−t):(24−t)=5:3⇒3(32−t)=5(24−t)⇒96−3t=120−5t⇒2t=24⇒t=242=12
B
Question: When a 80 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
A.52
B.68
C.25
D.67
Answer: C.25
Explanation: Answer
No. of pieces = Total length / Length of each piece
= 80/3.2
= 25
Option: C
Question: Find the average of first 30 natural numbers.
A.15.5
B.15.9
C.15.2
D.15.8
Answer: A.15.5
Explanation: Explanation:
Sum of first n natural numbers = n(n+1)/2
Hence, sum of first 30 natural numbers = (30 x 31)/2 = 465
Therefore, required average of = 465/30 = 15.5
ANSWER: A
Question: How many four letter combinations can be formed using the letters of the word HEART?
A.15
B.25
C.60
D.120
Answer: D.120
Explanation: The number of letters in the given word is five.
The number of four letter combinations that can be formed using these five letters is
= 5 * 4 * 3 * 2 = 120.
Answer: D
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 75% of Bima's weight. Dravid weighs 20% of Leela's weight. Leela weighs 40% of Dhoni's weight. Who among these 5 persons weighs the least?
A.Bima
B.Leela
C.Dravid
D.Nameetha
Answer: C.Dravid
Explanation: if
Bima weight = x
we get
Nameetha's weight = 0.75x
Dhoni's weight = 1.5x
Leela's weight = 0.6x
and Dravid's weight = 0.12x
Answer : C
Question: Number of prime numbers between 10 and 20 is
A.4
B.5
C.6
D.7
Answer: A.4
Explanation: total 4=1, 13, 17, 19
ANSWER:A
Question: The line Q represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1
A.y = 2x^2+5x+1
B.y = x^2+5x+2
C.y = 3x^2+5x+2
D.y = 3x^2+7x+2
Answer: C.y = 3x^2+5x+2
Explanation: concept of slope for linesparabolas are different. Bunuel, please correct if I am wrong. Also please help to solve this problem if its a GMAT type question.
The general form of parabolic equ. is y^2= 4ax which implies the axis is x or x^2 = 4ay where axis is y.
We have a similar form as x^2 = 4ay.
here the vertex is origin.
So if we have same values of x and y but constant term changes then we will have parallel parabolas.
This is same as for straight line Q which are parallel for different values of constant term c
ax + by +c1 = 0 and ax +by+ c2 =0
We have quadratic equations. These equations when drawn give parabolas, not lines. The question is: which of the following parabolas does not intersect with the parabola represented by y=3x^2+5x+1.C
Question: What is the sum of all even integers between 99 and 301?
A.40000
B.20000
C.40400
D.20200
Answer: D.20200
Explanation: Even integers between 99 and 301 are 100,102,104,....,300
To find total even numbers n , 300=100+(n-1)2, n=101
Sum of all numbers=(101/2)[2*100+ (101-1)2]
=10100+10100 =20200
ANSWER:D
Question: A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 8 km in stationary water?
A.2 hours
B.1 hour
C.1 hour 15 min
D.1 hour 30 min
Answer: A.2 hours
Explanation: speed (upstream) =2/1 = 2 kmhr
speed (downstream)=1/(10/60)= 6 kmhr
speed in still water = 1/2 (2+6) = 4 kmhr
time taken in stationary = 8/4 = 2 hrs
ANSWER:A
Question: A man sells a car to his friend at 15% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
A.Rs.22941.18
B.Rs.32941.18
C.Rs.52941.18
D.Rs.62941.18
Answer: C.Rs.52941.18
Explanation: Explanation:
S.P = Rs.54,000. Gain earned = 20%
C.P = Rs.[100/120Ã—54000]
=Rs. 45000
This is the price the first person sold to the second at at loss of 15%.
Now S.P = Rs.45000 and loss = 15%
C.P. Rs.[100/85Ã—45000]= Rs.52941.18
Correct Option : C
Question: If (4x + y)/(x + 4y) = 2/3, then find the value of (x + 4y)/(4x + y).
A.3/8
B.3/4
C.3/2
D.3/6
Answer: C.3/2
Explanation: Explanation:
Given, (4x + y)/(x + 4y) = 2/3
=> 3(4x + y) = 2(x + 4y)
=> 2x = y
.: (x + 4y)/(4x + y) = x + 4(2x)/(4x + 2x) = 9x/6x = 3/2
Answer: Option C
Question: A jar contains only red, yellow, and orange marbles. If there are 3 red, 3 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
A.1/60
B.1/45
C.2/45
D.3/22
Answer: C.2/45
Explanation: I started by finding the 2 probabilities, without calculation, like this:
P(YYR)
P(YRY)
P(RYY)
I calculated the first one and ended in 1/22. I looked at the answer choices at this point and saw answer D: 3/22.
This helped me realise that for the 3 possible orderings the probabbility is the same. So, it should be (1/45)*(2), which indeed is 2/45.
C
Question: If the President and Vice President must sit next to each other in a row with 6 other members of the Board, how many different seating arrangements are possible?
A.12010
B.10080
C.10228
D.11080
Answer: B.10080
Explanation: We need to take President and VP as one unit. Therefore we have 7 people to arrange=7! ways
Also, we both President and VP can be arranged in 2 ! ways.
Reqd no of ways=7!*2!=10080 ways
Answer B
Question: A train passes a station platform in 60 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.615 m
B.420 m
C.168 m
D.197 m
Answer: B.420 m
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/36 = 15 => x
= 420 m
Answer: B
Question: An empty pool being filled with water at a constant rate takes 8hours to fill to 3/7 of its capacity.how much more time will it take to finish filling the pool?
A.5hr 30min
B.5hr 20min
C.4hr 48min
D.3 hr 12min
Answer: C.4hr 48min
Explanation: As pool is filled to 3/5 of its capacity then 2/5 of its capacity is left to fill.
To fill 3/5 of the pool took 8 hours --> to fill 2/5 of the pool will take 8/(3/5)*2/5=16/3 hours = 5 hours 20 minutes (because if t is the time needed to fill the pool then t*3/5=8 --> t=8*5/3 hours --> to fill 2/5 of the pool 8*5/3*2/5=16/3 hours will be needed).
Or plug values: take the capacity of the pool to be 5 liters --> 3/5 of the pool or 3 liters is filled in 8 hours, which gives the rate of 3/8 liters per hour --> remaining 2 liters will require: time = job/rate = 2/(3/8) = 16/3 hours = 4 hours 48 minutes.
Answer: C.
Question: There are 12 slate rocks, 16 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
A.3/32
B.7/64
C.11/105
D.15/127
Answer: C.11/105
Explanation: 12/36*11/35 = 11/105
The answer is C.
Question: If a quarter kg of potato costs 60 yen, how many paise will 200 gm cost?
A.yen 49
B.yen 40
C.yen 50
D.yen 48
Answer: D.yen 48
Explanation: D
yen 48
Let the required weight be x kg.
Less weight, Less cost (Direct Proportion)
250 : 200 :: 60 : x 250 x x = (200 x 60)
x= (200 x 60)/250
x = 48
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
A.1400
B.1300
C.1200
D.1100
Answer: C.1200
Explanation: CP* (76/100) = 912
CP= 12 * 100 => CP = 1200
ANSWER:C
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 5 miles per hour for 6 hours. How many miles in total did she walk?
A.68
B.44
C.58
D.60
Answer: A.68
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 6 hours - 30 miles
Total 18+20+30 = 68
Answer: option A.
Question: A cat leaps 6 leaps for every 5 leaps of a dog, but 2 leaps of the dog are equal to 3 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
A.4:5
B.2:3
C.4:1
D.1:9
Answer: A.4:5
Explanation: Given;
2 dog = 3 cat;
Or, dog/cat = 3/2;
Let cat's 1 leap = 2 meter and dogs 1 leap = 3 meter.
Then, ratio of speed of cat and dog = 2*6/3*5 = 4:5''Answer: 4:5;
Question: If 20% of certain quantity of work is done by A and the rest 80% by B, the work is completed in 20 days. If 80% of the work is done by A and the remaining 20% by B, then the work is completed in 30 days. How many days are required to complete the work , if A and B work together.
A.11 1/9
B.10 1/9
C.12
D.15
Answer: A.11 1/9
Explanation: Use algebra:
0.2/A + 0.8/B = 20
1 /A + 4/B = 100
0.8/A + 0.2/B = 30
4/A+ 1/B = 150
15/B = 250
B = 3/50 work per day
A = 3/100 work per day
Combined rate = 3/40 + 3/100 = 9/100
Time taken when working together = 100/9 = 11(1/9) days
Answer (A)
Question: Kate and Danny each have $10. Together, they flip a fair coin 5 times. Every time the coin lands on heads, Kate gives Danny $1. Every time the coin lands on tails, Danny gives Kate $1. After the five coin flips, what is the probability that Kate has more than $10 but less than $15?
A.5/16
B.1/2
C.12/30
D.15/32
Answer: D.15/32
Explanation: the probability of the coin landing tails up either 3 or 4 times = P(3t) + P(4t)
Binomial distribution formula: nCk p^k (1-p)^(n-k)
P(3t) = 5C3 (1/2)^3 (1/2)^2 = 10 (1/2)^5
P(4t) = 5C4 (1/2)^4 (1/2)^1 = 5 (1/2)^5
=> P(3t) + P(4t) = 15/32
Answer:D
Question: How many quarters are equal to 2 dollars?
A.1
B.8
C.12
D.9
Answer: B.8
Explanation: B. 8 quarters
Question: I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
A.20mins
B.19mins
C.5mins
D.4mins
Answer: B.19mins
Explanation: Let the distance be x km. Then,
( Time taken to walk x km) + (time taken to ride x km) =37 min.
( Time taken to walk 2x km ) + ( time taken to ride 2x km )= 74 min.
But, the time taken to walk 2x km = 55 min.
Time taken to ride 2x km = (74-55)min =19 min.
Ans: B
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20% while buying and by 20% while selling. What is his percentage profit?
A.10.22%
B.20.22%
C.21.22%
D.50%
Answer: D.50%
Explanation: The owner buys 100 kg but actually gets 120kg;
The owner sells 100 kg but actually gives 80kg;
Profit: (120-80)/80*100=~50%
Answer: D.
Question: If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
A.54 paise
B.48 paise
C.72 paise
D.28 paise
Answer: B.48 paise
Explanation: Let the required weight be x kg.
Less weight, Less cost (Direct Proportion)
250 : 200 :: 60 : x 250 x x = (200 x 60)
x=	(200 x 60)/250
x = 48.
Answer is B
Question: A rectangular plot measuring 90 metres by 60 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ?
A.55
B.56
C.60
D.58
Answer: C.60
Explanation: Solution
Perimeter of the plot = 2(90 + 60) = 300 m.
∴ Number of poles = [300/5] =60m Answer C
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.320
B.600
C.700
D.350
Answer: D.350
Explanation: Speed = 300/18 m/sec = 50/3 m/sec
(x+300/39) = 50/3
x=350 m
ANSWER D
Question: A football field is 10800 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
A.400
B.600
C.750
D.2400
Answer: A.400
Explanation: Answer A) 10800 yards need 1200 lbs
1 Yard will need 1200/10800 = 1/9 lbs
3600 Yards will need 1/9* 3600 Yards = 400lbs
Question: A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of w when angle C is 125 degrees?
A.45
B.55
C.65
D.75
Answer: B.55
Explanation: An inscribed angle is an angle in a circle composed of two chords with a common endpoint, that is, an angle with its vertex on the circle. In this problem, all four lettered angles are inscribed angles.
An inscribed angle necessarily opens to intersect an arc (the technical word is to subtend an arc). The Inscribed Angle Theorem said that the measure of an inscribed angle is always half the measure of the arc it intersects, or subtends.
angle C = 125 degrees
Thus,
arc DAB = 250 degrees
A whole circle has 360 degrees of arc, so arc BCD should be the rest of the circle.
arc BCD = 360 - 250 = 110 degrees
The angle that intersects this arc, angle A, should have half this measure.
angle A = w = 110/2 = 55 degrees
Answer =(B)
Question: If (10^4 * 3.456789)^11 is written as a single term, how many digits would be to the right of the decimal place?
A.12
B.18
C.22
D.28
Answer: C.22
Explanation: 3.456789^11 has 6*11 = 66 decimal places.
10^44 moves the decimal place to the right 44 places.
(10^4 * 3.456789)^11 has 66-44 = 22 digits after the decimal point.
The answer is C.
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
A.3.6
B.4.6
C.6.5
D.7.3
Answer: B.4.6
Explanation: Explanation:
Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6. Answer: B
Question: If 6 yrs are subtracted from the present age of John & the remainder is divided by 18, then the presentage of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 yrs, then whatis John’s present age?
A.20
B.30
C.60
D.70
Answer: C.60
Explanation: Sol. Anup's age = (5 - 2) years = 3 years. Let Gagan's age be x years.
Then, (x-6)/18 = 3 => x-6 = 54 x = 60.
C
Question: A person saved $10 in buying an item on sale. If he spent $200 for the item, approximately how much percent he saved in the transaction?
A.8%
B.10%
C.2%
D.5%
Answer: D.5%
Explanation: Actual price = 200+10 = $210
Saving = 10/210 * 100 = 100/21 = 5% approximately
Answer is D