RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and K. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of K if J is negative?
A.-2
B.K=0
C.1
D.2
Answer: B.K=0
Explanation: since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.
mode of the set is a number which occurs maximum number of time in the set. now, since K is the mode of the set. therefore K=0. hence answer is B
Question: x=9^10–3^17 and x/n is an integer. If n is a positive integer that has exactly two factors, how many different values for n are possible?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: The expression can be rewritten as (3^2)^10 - 3^17.
Factoring the above we get: 3^17*[(3^3)-1)] = 3^17(26) = 3^17*13*2
The question asks us to find the number of prime factors (number with exactly two factors) of the expression.
From it's factored form we can find that only 2, 3 and 13 will satisfy the above conditions.
Hence Option C
Question: The sum of two numbers is 22. Five times one number is equal to 6 times the other. The smaller of the two numbers is:
A.10
B.11
C.16
D.12
Answer: A.10
Explanation: Sol.
Let the numbers be x and (22 - x).
Then, 5x = 6(22 - x)
⇔ 11x = 132⇔ x = 12.
So, the numbers are 12 and 10.
Answer A
Question: In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
A.16%
B.25%
C.28%
D.40%
Answer: C.28%
Explanation: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 46 are employed males, hence 18% are employed females.
(employed females)/(total employed people)=18/64=28%
Answer: C.
Question: If a^x = b^3y, then
A.log a/b= x/y
B.log a/ log b = x/y
C.log a/ log b = 3y/x
D.log b/a = x/y
Answer: C.log a/ log b = 3y/x
Explanation: a^x = b^3y => log a^x = log b^3y => x log a = 3y log b
=> log a/ log b = 3y/x
ANSWER:C
Question: A, B, C, D and E are 5 consecutive points on a straight line. If BC = 2CD, DE = 5, AB = 5 and AC = 11, what is the length of AE?
A.19
B.21
C.23
D.25
Answer: A.19
Explanation: AC = 11 and AB = 5, so BC = 6.
BC = 2CD so CD = 3.
The length of AE is AB+BC+CD+DE = 5+6+3+5 = 19
The answer is A.
Question: The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A.3500
B.3200
C.3900
D.3400
Answer: C.3900
Explanation: Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.
Then, 10x = 4y or y = 5/2 x.
Therefore, 15x + 2y = 4000
=15x + 2 x 5/2x = 4000
=20x = 4000
Therefore, x = 200.
So, y =(5/2 x 200) = 500.
Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
Answer is C.
Question: A man buys a cycle for Rs.1400 and sells it at a loss of 25%. What is the selling price of the cycle?
A.Rs.1090
B.Rs.1160
C.Rs.1190
D.Rs.1050
Answer: D.Rs.1050
Explanation: Solution
S.P	= 75% of Rs.1400
= Rs.(75/100×1400)
Rs.1050.
Answer D
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 22 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
A.3,150
B.4,200
C.5,040
D.30,800
Answer: D.30,800
Explanation: MAGOOSHOFFICIAL SOLUTION:
For the large photos, we need 6C3, which we calculated in the article:
6C3 = 20
For the smaller photos, we need 22C19, which by symmetry must equal 22C3, and we have a formula for that. In fact, in the article above, we already calculated that 22C3 = 1540.
Now, by the FCP, we just multiply these: total number of possible albums = 20*1540 = 30800.
Answer = D
Question: Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 7 members and the design team has 5 members, how manyintegratedteam formations are possible?
A. 36
B. 54
C. 176
D. 210
Answer: D. 210
Explanation: 2 out of 7 times 2 out of 5 => 7*6/2*1 * 5*4/2*1 = 210
D
Question: An unbiased cubic die is thrown.What is the probability of getting a multiple of 4?
A.1/6
B.1
C.2/6
D.3/6
Answer: A.1/6
Explanation: S={1,2,3,4,5,6}
P(E)=n(E)/n(S)
n(s)=Total numbers in a die=6
Let E be the event of getting the multiple of 4
then ,E={4}
P(multiple of 4) = 1/6
ans A
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 10 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
A.4
B.5
C.6
D.12
Answer: A.4
Explanation: The part of job that Suresh completes in 9 hours
= 9⁄15 = 3⁄5
Remaining job = 1 - 3⁄5 = 2⁄5
Remaining job can be done by Ashutosh in 2⁄5 × 10 = 4 hours
Answer A
Question: If 2 and 3 are positive integers, then 2*3 + 2 is
A.8
B.10
C.12
D.12
Answer: A.8
Explanation: Answer : A
Question: If a - b = 5 and a2 + b2 = 31, find the value of ab.
A.9
B.2
C.3
D.7
Answer: C.3
Explanation: 2ab = (a2 + b2) - (a - b)2
= 31 - 25 = 6
ab = 3.
Answer: C
Question: x and y are positive integers. When x is divided by 12, the remainder is 5, and when x is divided by 13, the remainder is 3. When y is divided by 14, the remainder is 5, and when y is divided by 7, the remainder is 5. What is the least possible value of x + y?
A.24
B.12
C.64
D.48
Answer: D.48
Explanation: When x is divided by 12, the remainder is 5: So, the possible values of x are: 5, 17, 29, 41, etc.
When x is divided by 13, the remainder is 3: So, the possible values of x are: 3,16,29... STOP. Since both lists include 29, the smallest possible value of x is 29.
When y is divided by 14, the remainder is 5: So, the possible values of y are: 5, 19, 33,47 etc.
When y is divided by 7, the remainder is 5: So, the possible values of y are: 5, 19 ...STOP. Since both lists include 19, the smallest possible value of y is 19
Since the smallest possible values of x and y are 29 and 19 respectively, the smallest possible value of x + y is 48. So,D is the correct answer to the original question.
Question: Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is Aswanth’s weight?
A.78 kg
B.44 kg
C.62 kg
D.50 kg
Answer: B.44 kg
Explanation: Explanation :
Let weight of arun,akash,amir and aswanth be a,b,c and respectively.
a+b=132.......(1)
b+c=130.......(2)
c+d=102.......(3)
b+d=116.......(4)
Evaluating 3 and 4 we get
2b=144
b=72
From (4) we have d=116-72=44.
Therefore weight of aswanth is 44 kg...
Hence (B) is the correct answer.
Answer : B
Question: A 24" x 24" square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
A.94
B.95
C.96
D.97
Answer: C.96
Explanation: every corner will have one,4 corners will have 4+ and for 4 sides 23
no of nails=4+(4*23)= 96
ANSWER:C
Question: Find the missing figures: 0.2% of ? = 0.02
A.50
B.100
C.10
D.1000
Answer: B.100
Explanation: Let 0.2% of x = 0.02. Then , 0.2*x/100 = 0.02
X= [(0.02*100)/0.2] = 100.
Answer is B.
Question: Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.16 seconds
B.18 seconds
C.19 seconds
D.27 seconds
Answer: B.18 seconds
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 200 / (15 + 25)5/18 = 200* 18 / 40 * 5
= 18 seconds.
Answer:B
Question: A taxi leaves Point A 5 hours after a bus left the same spot. The bus is traveling 10 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours.
A.20
B.24
C.32
D.16
Answer: D.16
Explanation: Let the speed of bus be v - 10, speed of taxi be v
The bus travelled a total of 8 hrs and taxi a total of 3 hrs.
Hence 8 * (v-10) = 3v
8v - 80 = 3v
5v = 80
D
Question: A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
A.120 metres
B.180 metres
C.324 metres
D.250 metres
Answer: D.250 metres
Explanation: Speed= 60 x	5/18	m/sec	= 50/3	m/sec.
Length of the train = (Speed x Time).
Length of the train = 50/3	x 15 m = 250 m.
Option D
Question: UNO plans a gathering.
However there is threat of terrorist attack. So security guard who is a mathematical plans somethings to secure the place.
A terrorist stands nearby the door where
1st ambassador comes , the security guard said 'twelve' and ambassador replied with 'six'.
2nd ambassador comes , the security guard said 'six' and ambassador replied with 'three'.
The terrorist thinks its enough and walks to the door.
The security person said 'eight' , terrorist replied 'four' and get immediately arrested.
why ?
A.Five
B.Three
C.Two
D.Eight
Answer: A.Five
Explanation: A
'five'
Its the count of alphabet
Question: Molly's age in 18 years will be four times her age eighteen years ago. What is Molly's present age?
A.20
B.21
C.24
D.30
Answer: D.30
Explanation: Let x be Molly's present age.
x + 18 = 4(x-18)
x = 30
The answer is D.
Question: An investor bought two shares of stock, which he sold for $72 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
A.a profit of $10
B.a profit of $6
C.a loss of $6
D.a loss of $10
Answer: C.a loss of $6
Explanation: The cost of the first stock was 72/1.2=60, so the profit from it is 12.
The cost of the second stock was 72/0.8=90, so loss from it is 18.
Overall the loss is $6.
The answer is C.
Question: How many integers from 0 to 50 inclusive have a remainder of 3 when divided by 7?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: The numbers should be of the form 7c+3.
The minimum is 3 when c=0.
The maximum is 45 when c=6.
There are 7 such numbers.
The answer is C.
Question: One out of five employees are capable of doing a certain task. 80 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
A.43.33%
B.33.33%
C.13.33%
D.75%
Answer: D.75%
Explanation: Given 80% of 4 employees including 1 who are capable of doing task.
80% of 5 employeees
= 80/100 * 5
= 4 employees
===> 1 employees who are capable of doing the task and three employee who is not capable.
percentage of employees assigned who are not capable
= 3/4 * 100
= 75%
ANSWER:D
Question: A group consists of 4 men, 6 women and 1 child. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A.400
B.120
C.287
D.278
Answer: B.120
Explanation: Explanation:
Two men, three women and one child can be selected in â´Câ‚‚ * â¶Câ‚ƒ * âµCâ‚ ways
= (4 * 3)/(2 * 1) * (6 * 5 * 4)/(3 * 2) * 1
= 120 ways.
Answer:B
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 64.50, his capital is?
A.24,602
B.28,888
C.25,800
D.24,628
Answer: C.25,800
Explanation: Let the capital be Rs. x. Then,
(x * 8 * 1)/100 - (x * 31/4 * 1/100) = 64.50
32x - 31x = 6450 * 4
x = 25,800.
Answer: C
Question: x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ?
A.1
B.2
C.4
D.-2
Answer: C.4
Explanation: Focus on the transition points and plug in the values.
x > 6 so x could be 7, 8, 9, 10, 11 etc
Look at x = 7
7 + y < 11
y < 4
y could be 3, 2, 1, 0, -1 etc
When y is 3, we get x - y = 4
This must be the smallest value because as x increases, y reduces so x - y increases.
Take another example. x = 11 so y < 0.
x - y will give a value greater than 11.
Answer (C).
Question: The rate of Interest on a sum of money is 2% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
A.2,200
B.2,000
C.2,100
D.2,250
Answer: B.2,000
Explanation: Explanation:
I1 = (P x 3 x 2)/100 = 3P/50
I2 = (P x 4 x 4)/100 = 4P/25
I3 = (P x 1 x 5)/100 = P/20
3P/50 + 4P/25 + P/20 = 540
The L.C.M of 50, 25, 20 = 100
(6P + 16P + 5P)/100 = 540
27P/100 = 540
27P = 54000
P = 54000/27
P = 2000
Answer: Option B
Question: The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?
A.Rs.4098
B.Rs.4078
C.Rs.4097
D.Rs.4096
Answer: D.Rs.4096
Explanation: Principal
= [4913 / (1 + 25/(4 * 100))3]
= 4913 * 16/17 * 16/17 * 16/17
= Rs.4096.
Answer:D
Question: Each of the 55 points is placed either inside or on the surface of a perfect sphere. If 60% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
A.7
B.11
C.13
D.16
Answer: D.16
Explanation: Maximum number of points on the surface is 60%*55 = 33
Now note that if two points form a diameter, they cannot be part of any other diameter.
So in the best case we can pair up the points
We have 33 points, so at best we can form 16 pairs (32).
So, answer is (D)
Question: Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
A.140
B.150
C.160
D.170
Answer: C.160
Explanation: L.C.M of two numbers is given by
(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.
ANSWER:C
Question: The ratio between the present ages of P and Q is 5 : 7 respectively. If the difference between Q's present age and P's age afler 6 years is 2, what is the total of P's and Q's present ages?
A.46 years
B.48 years
C.52 years
D.56 years
Answer: B.48 years
Explanation: Solution
Let the present ages of P and Q be 5x years and 7x years respectively.
Then	7x-(5x+6)=2
2x=8
x=4.
Required sum	= 5x+7x
=12x
=12×4
=48 years.
Answer B
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
A.16
B.30
C.88
D.26
Answer: B.30
Explanation: The circumference of the circle is equal to the permeter of the rectangle.
Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5
=> x = 1
Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5
= 30 cm2
Answer:B
Question: There are 2 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
A.A)10
B.B)12
C.C)24
D.D)60
Answer: D.D)60
Explanation: Using anagram method:
4_3_2_1
R_R_B_B
so..
4!/Number of repeated letters (2!)(2!) = 6
ANS:D
Question: If the price has fallen by 15% what percent of its consumption be: increased so that the expenditure may be the same as before?
A.11 1/8%
B.11 1/5%
C.17 11/17%
D.18 7/9%
Answer: C.17 11/17%
Explanation: 100 â€“ 15 = 85
85------15
100------? => 17 11/17%
Answer: C
Question: A worker is paid a regular rate of Rs.20 for completing a survey. The worker completes 100 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 10% higher than her regular rate. If she completed 70 surveys involving the use of her cellphone, how much did she get that week?
A.2140
B.1140
C.550
D.650
Answer: A.2140
Explanation: Amount earned using her cell phone = 70 * 22 = 1540
earned for remaining surveys = 30 * 20 = 600
Total earning = 2140
Answer : A
Question: A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 110 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
A.11/48,000
B.1/8,100
C.3/1,600
D.1/90
Answer: A.11/48,000
Explanation: Solution provided by stanford2012 is correct: 110/800 choosing one of the cellos which has a pair viola, 1/600 choosing the viola which is the pair of chosen cello --> P=110/800*1/600=311/48,000.
Answer: A.
Question: Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?
A.88
B.90
C.60 meters
D.27
Answer: C.60 meters
Explanation: Explanation:
No explanation is available for this question!
ANSWER:C
Question: A person's present age is two-fifth of the age of his mother. After 10years, he will be one - half of the age of his mother. How old is the mother at present ?
A.45
B.30
C.50
D.25
Answer: C.50
Explanation: Let the mother's present age be x years
Then the person's present age = 2x/5
(2x/5)+10 = 1/2(x+10)
2(2x+40) = 5 (x+10)
x = 50
Answer is C
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?
A.5336
B.5345
C.5350
D.5356
Answer: A.5336
Explanation: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
A)
Question: On a certain Monday, john drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 70 miles per hour. Which of the following is closest to his average speed for both trips combined?
A.54
B.55
C.58.33
D.56
Answer: C.58.33
Explanation: To solve the average speed questions, we need to know the total distance and the total time.
Let us assume that the distance from work = D
This will also be the distance from work to home
Hence total distance travelled = 2D
Time in going to work = D/50,
Time in coming back from work = D/70
Hence average speed of both the trips = 2D/ (D/50 + D/70)
= 2*350/12 = 58.33
C
Question: By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price
A.Rs. 700/-
B.Rs. 800/-
C.Rs. 900/-
D.Rs. 1000/-
Answer: B.Rs. 800/-
Explanation: 80 % ------> 640 (80 * 8 = 640)
100 % ------>800 (100 * 8 = 800)
Cost price = Rs. 800/-
B
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
A.1/2
B.1/3
C.1/5
D.1/7
Answer: B.1/3
Explanation: Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are girls’
F : ‘at least one of the child is a girl’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
B)
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 113, what is the product of b and c?
A.2652
B.2578
C.2534
D.3192
Answer: D.3192
Explanation: Here d = a + 3
a + a + 3 = 113
2a = 110
a = 55
So, numbers are 55, 56, 57 and 58
∴ b × c= 56 × 57 = 3192
D
Question: A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 50 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
A.40
B.45
C.50
D.54
Answer: D.54
Explanation: A- B = 120 Miles
B - C = 60 Miles
Avg Speed = 50 Miles
Time taken for A-B 3t and B-C be t
avg speed = (120+60) / Total time
50 = 180/4t
t = 54
B-C = 54mph
Answer D
Question: A single discount equivalent to a series of 30%, 20%, and 10% is
A.50%
B.49.6%
C.49.4%
D.51%
Answer: B.49.6%
Explanation: Let the marked price be Rs. 100
Then S.P = 90% of 80% of 70% of 100
= ( 90/100*80/100*70/100*100 ) =50.4
Single discount = ( 100- 50.4 )% = 49.6%
ANSWER:B
Question: Cost of 16 mirror and 8 comb is Rs.344 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
A.19
B.12
C.20
D.21
Answer: A.19
Explanation: Let the cost of each pen and pencil be 'p' and 'q' respectively.
16m + 8c = 344 --- (1)
4m + 4c = 96
8m + 8c = 192 --- (2)
(1) - (2) => 8p = 152
=> m = 19
A
Question: How many ways can 9 friends be arranged around a circular dinner table?
A.5!
B.6!
C.7!
D.8!
Answer: D.8!
Explanation: The number of ways to order 9 people is 9!
However, around a circular table, each pattern would be repeated 9 times.
So the number of ways to seat 9 friends around a circular table is 8!
The answer is D.
Question: Angelina walked 250 meters from her home to the grocery at a constant speed. She then walked 360 meters to the gym at double the speed. She spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?
A.2
B.3
C.4
D.6
Answer: A.2
Explanation: let the speed be X...
so time taken from home to grocery= 250/x..
the speed to gym = 2x..
so time taken = 360/2x=180/x..
its given 250/x-180/x=70..
70/x=70..
x=1m/secs..
so grocery to gym=2*1=2m/s...
Answer : A
Question: In a group of 7 boys and 8 girls , 5 members are to be selected. In how many different ways can they be selected such that at least 3 boys should be there ?
A.1200
B.1500
C.1281
D.1339
Answer: C.1281
Explanation: No of boys = 7
No of girls = 8
Therefore,
No of ways at least 3 boy can be selected = 7C5 * 8C0 + 7C4* 8C1 + 7C3*8C2
= 1281
Ans - C
Question: If the product of two positive integers is 40, which of the following could be the LCM and HCF of the two numbers? a. LCM 20 : HCF 2 b. LCM 40 : HCF 5 c. LCM 20 : HCF 4
A.b only
B.c only
C.a only
D.a, c only
Answer: C.a only
Explanation: a is the correct answer.
Answer : C
Question: A metal bar weighs 8.15 ounces. 93% of the bar is silver. How many ounces of silver are in the bar? (round to the nearest thousandth)
A.5.580 ounces
B.7.580 ounces
C.8.560 ounces
D.4.480 ounces
Answer: B.7.580 ounces
Explanation: 93/100=x/8.15
Multiply the opposites:
93 x 8.15 = 757.95
Divide by the remaining number:
100)7.5795/757.9500
7.580 ounces
correct answer B
Question: Tom travels first 5 kilometers in 80km/hr and another 5 kilometers in 20km/hr. What is his average speed?
A.32km/hr
B.42km/hr
C.40km/hr
D.30km/hr
Answer: A.32km/hr
Explanation: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X80X20/100= 32. 'A' is the answer.
Question: The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $94 per day. What was his wage on the 8th day?
A.$83
B.$90
C.$92
D.$97
Answer: A.$83
Explanation: Average daily wage of a worker for 15 consecutive working days = 90$
During the first 7 days , the daily average daily wage = 87$
During the last 7 days , the daily average daily wage = 94$
Wage on 8th day = 90*15 -( 87*7 + 94 *7)
= 1350 - (609 + 658)
=1350 - 1267
= 83
Answer A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.90%
C.80%
D.10%
Answer: A.20%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer:A