RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:
A.33
B.30
C.38
D.37
Answer: B.30
Explanation: Explanation:
pool : kerosene
3 : 2(initially)
2 : 3(after replacement)
\frac{Remaining\: (or \: left) \: quantity}{initial\: quantity}=\left ( 1-\frac{replaced\: quantity}{total\: quantity} \right )
(for petrol) \frac{2}{3}=\left ( 1-\frac{10}{k} \right )
\Rightarrow \frac{1}{3}=\frac{10}{K}
\Rightarrow K=30l
Therefore the total quantity of the mixture in the container is 30 liters.
Answer: B) 30
Question: The original price of a certain TV set is discounted by q percent, and the reduced price is then discounted by 2q percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
A.P(1 - 0.03x + 0.02x^2)
B.P(1 - 0.03w + 0.0002w^2)
C.P(1 - 0.03x + 0.002x^2)
D.P(1 - 2x^2)
Answer: B.P(1 - 0.03w + 0.0002w^2)
Explanation: Youcansolve this problem with number plugging.
Say the original price was $10 and q=50. Then after the first reduction the price would become $5 and after the second reduction of 2*50=100% the rprice would become $0.
Now, since P is not zero, then the expression in the brackets must be zero for q=50. Only answer choice B works.
Answer: B.
On this problem - number pluggin is not giving me the answer.. I initially used q = 10, then 2q = 20 and P = 100. Answer should after both consecutive discounts = 72. I plug in the respective values and I keep getting 68. Can you double check my math.
100 (1-0.03(10) + 0.0002 (10)^2)
100 (1-0.3 + 0.0002 (100))
100 (0.7 + 0.02)
100 (0.68) = 68????
double check my math. Am I missing something? I also plugged in your numbers and still did not get zero as final answer with choice B..
Question: Jar X is 1/2 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
A.3/4
B.5/6
C.7/8
D.5/8
Answer: A.3/4
Explanation: Let P be the capacity of Jar X.
The amount of water in Jar Y is 1/2*P/2=P/4
Then the total amount in Jar X is P/2+P/4=3P/4
The answer is A.
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
A.4/5
B.5/12
C.7/9
D.12/7
Answer: B.5/12
Explanation: Here n(S)=(6*6)=36
let E=event of getting a total more than 7
={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}
P(E)=n(E)/n(S)=15/36=5/12
Ans: B
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
A.3800
B.4200
C.4400
D.4500
Answer: C.4400
Explanation: X * (95/100) * (85/100) = 3553
X = 4400
ANSWER:C
Question: On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.10 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
A.0.027
B.0.271
C.0.417
D.0.657
Answer: B.0.271
Explanation: Probability he hears a song is like:
Tune to A and likes what he is hearing = 0.1
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.9 * 0.1 = 0.09
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program = 0.9^2 * 0.1 = 0.081
Total = 0.271
Ans B
Question: If x is an even integer and x/18 is an odd integer, which of the following is NOT an even integer?
A.(x^2)/54
B.(x^2)/24
C.(x^2)/9
D.(x^2)/6
Answer: B.(x^2)/24
Explanation: since x is an even integer and x/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the x/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)
now, any expression in which we have 4 at the denominator will be odd. out of the given options only 24 is a multiple of 4. hence answer should be B
Question: A began business with 6000 and is joined afterwards by B with 24000. When did B join, if the profits at the end of the year are divided equally?
A.8 months
B.9 months
C.10 months
D.7 months
Answer: B.9 months
Explanation: Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.
∴ Profit ratio is 12 × 6000 : (12 – x) × 24000
or 12 : 4(12 – x)
Since profit is equally divided so
12 = 4(12 – x) or x = 9. Thus B joined after 9 months.
Answer B
Question: On the shelf, there are four books of poetry, four novels, and six reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?
A.18/85
B.20/87
C.22/89
D.24/91
Answer: D.24/91
Explanation: We could pick one novel and then one reference work, or, we could choose one reference work and then one novel.
P(one novel and one reference work) = 4/14*6/13 + 6/14*4/13 = 24/91
The answer is D.
Question: A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?
A.327
B.367
C.360
D.265
Answer: C.360
Explanation: Let xx be the number of parts the woodworker normally makes daily. In 24 days he makes 24⋅x24⋅x pieces. His new daily production rate is x+5x+5 pieces and in 2222 days he made 22⋅(x+5)22⋅(x+5) parts. This is 80 more than 24⋅x24⋅x. Therefore the equation is:
24⋅x+80=22(x+5)24⋅x+80=22(x+5)
30=2x30=2x
x=15x=15
Normally he makes 15 parts a day and in 24 days he makes 15⋅24=36015⋅24=360 parts.
Answer:C
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 3 years?
A.4 %
B.3 6/7 %
C.4.76 %
D.5 %
Answer: C.4.76 %
Explanation: Explanation:
250 = (1750x3xR)/100
R = 4.76 %
Answer: Option C
Question: A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/3 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
A.3/7
B.2/7
C.1/4
D.2/3
Answer: B.2/7
Explanation: Rate of the small pump is 1/2 tank/hour
Rate of the larger pump is 1/(1/3) or 3 tank/hour;
Combined rate of the two pumps is 1/2+3=7/2 tank/hour, together they will fill the empty tank in 1/(7/2) = 2/7 hours (time=job/rate).
Answer: B
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
A.-33
B.33
C.35
D.47
Answer: A.-33
Explanation: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.
Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.
So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.
Solving this equation for d+ed+e gives d+e=−66d+e=−66.
Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.
Hence, the answer is A: -33
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.38 cm2
B.85 cm2
C.65 cm2
D.45 cm2
Answer: D.45 cm2
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 36/2 = 45 cm2
Answer:D
Question: Mike works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 62,500. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
A.13000
B.12500
C.13500
D.14000
Answer: B.12500
Explanation: let the rate be x, then population of the bacteria after each hour can be given as 500,500x, 500(x^2), 500(x^3)
now population at 4pm =62,500
thus we have 500(x^3) = 62,500 =125
thus x=5
therefore population at 3pm = 500(25) = 12500
Answer : B
Question: 1397 x 1397 = ?
A.1951609
B.1981709
C.18362619
D.2031719
Answer: A.1951609
Explanation: Explanation:
1397 x 1397	= (1397)2
= (1400 - 3)2
= (1400)2 + (3)2 - (2 x 1400 x 3)
= 1960000 + 9 - 8400
= 1960009 - 8400
= 1951609.
ANSWER IS A
Question: If the speed of a man is 45 km per hour, then what is the distance traveled by him in 30 seconds ?
A.275m
B.360m
C.375 m
D.420 m
Answer: C.375 m
Explanation: The distance traveled in 30 sec = 45*(5/18) *30 =375m
Answer: C
Question: A man walks from B to C, a distance of x miles, at 8 miles per hour and returns at 10 miles per hour. What is his average speed?
A.10 mph
B.9.6 mph
C.8.8 mph
D.8.4 mph
Answer: C.8.8 mph
Explanation: Total distance covered = 2x
Time taken12miles / hour = x/10 hrs
Time taken @ 8 miles / hour = x/8 hrs
Avg speed = 2x / (x/8 + x/10) = 8.8 mph
Ans is C
Question: Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
A.5/7
B.5/1
C.5/2
D.5/6
Answer: D.5/6
Explanation: P(at least one graduate) = 1 - P(no graduates)
= 1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8)
= 5/6
Answer: D
Question: suppose that jody drove 80 miles in 2 hours. dividing 80 by 2 tells us how many mile jody drove in each hour. the unit for this rate are miles per hour(miles/hr). if we divide 2 by 80 what information would this give us? give an interpretation of the rate. what unit would be used for this rate?
A.mile/hours
B.hours/mile
C.minutes/mile
D.km/hours
Answer: B.hours/mile
Explanation: speed= distance/time, here speed=distance covered in 1 hour. total distance 80 miles divided by total time 2 hours= 80/2. miles/ hour= 40 mile/hour. jody drove 40 miles in hour. correct answer : (B)
Question: A train 110 m long running at 52 kmph crosses a platform in 30 sec. What is the length of the platform?
A.287
B.398
C.323
D.245
Answer: C.323
Explanation: D = 52 * 5/18 = 30
= 433 â€“ 110
= 323
Answer: C
Question: |x+3| – |4-x| = |8+x| How many K solutions will this equation have?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: |x| = x when x >= 0 (x is either positive or 0)
|x| = -x when x < 0 (note here that you can put the equal to sign here as well x <= 0 because if x = 0,
|0| = 0 = -0 (all are the same)
So the '=' sign can be put with x > 0 or with x < 0. We usually put it with 'x > 0' for consistency.A
Question: Among 400 students, 51% study sociology, 46% study mathematics and 40% study biology. If 34% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
A.30
B.90
C.148
D.172
Answer: C.148
Explanation: I would just like to add a bit of explanation after the step where you calculate that the number of students studying both M and S = 136
Using your analysis:
We see that the total number of students who study either Maths or Sociology = 184 + 204 - 136 = 252
So, in the image we know that the number of students in the zone with the black boundary = 252
Let's assume the number of students who studyonlybiology to beb(this is the number that we have to maximize)
And, let's assume the number of students who study none of the three subjects, that is the number of students in the white space =w
Since the total number of students = 400, we can write:
252 +b+w= 400
Or,b+w= 400 - 252 = 148
That is,b= 148 -w
So, the maximum value ofbwill happen forw= 0
This is how we get, the maximum value ofb= 148
C
Question: If xy+2z = x(y+z), which of the following must be true?
A.1. x=2 and z=0
B.2. x=1 and y=1
C.3. y=1 and z=0
D.4. x=1 or y=0
Answer: A.1. x=2 and z=0
Explanation: xy+2z=x(y+z)
xy+2z=xy+xz
2z=xz
it means x=2 or z=0
Answer A
Question: In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 85%, what was the average score for the entire class?
A.68%
B.71%
C.73%
D.75%
Answer: B.71%
Explanation: 70% of the students took the final exam on the assigned day --> 0.7*90 = 63 students took the final exam on the assigned day, with an average score of 65.
The rest of the students took the exam on a make-up date --> 90 - 63 = 27 students took the exam on a make-up date, with an average score of 85.
(Average Score) = (Sum of the scores)/(Total students) = (63*65 + 27*85)/90 = 71.
Answer: B.
Question: A man has Rs. in the denominations of 100-rupee notes, 500-rupee notes and 1000-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.70
B.80
C.60
D.40
Answer: C.60
Explanation: Let number of notes of each denomination be x.
Then 100x + 500x + 1000x = 32000
1600x = 32000
x = 20.
Hence, total number of notes = 3x =60.
Answer is C
Question: A train moves with a speed of 108 kmph. Its speed in metres per second is :
A.10.8
B.18
C.30
D.38.8
Answer: C.30
Explanation: Explanation:
108 kmph = (108 X 5/18)m/sec= 30 m / s. Answer: C
Question: The annual interest rate earned by an investment increased by 11 percent from last year to this year. If the annual interest rate earned by the investment this year was 22 percent, what was the annual interest rate last year?
A.17%
B.19%
C.18%
D.20%
Answer: D.20%
Explanation: let i = interest rate
i(this year) = i(last year) + 0.11i(last year) = 1.11i(last year)
22 = 1.11 x i(last year)
i(last year) = 22/1.1 = 220/11 = 20%
Answer : D
Question: If the average (arithmetic mean) of x + 2, x + 3, and x + 4 is 0, then x =
A.–4
B.–3
C.–2
D.–1
Answer: B.–3
Explanation: (x+2 + x+3 + x+4)/3 = 0
=>3x + 9 = 0
=>x = -3
Answer B
Question: The marks obtained by Vijay and Amith are in the ratio 6:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
A.1:5
B.4:5
C.9:5
D.9:8
Answer: C.9:5
Explanation: 6:5
3:2
-------
18:15:10
18:10
9:5
ANSWER:C
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
A.0.20833
B.0.14544
C.0.25632
D.0.35466
Answer: A.0.20833
Explanation: Total land of Sukhiya = \inline \frac{480x}{0.6} = 800x
\therefore Cultivated land of village = 384000x
\therefore Required percentage = \inline \frac{800x}{384000}\times 100 = 0.20833
A
Question: Prizes totaling $30,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?
A.(a) $5,000
B.(b) $12,000
C.(c) $35,000
D.(d) $25,000
Answer: B.(b) $12,000
Explanation: The highest prize cannot possibly be less than 1/3rd of 30,000 (because in this case the sum of 3 prizes would be less than 30,000) and cannot be more than 30,000.
Answer: B.
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $60. What is the percent decrease?
A.20%
B.30%
C.40%
D.70%
Answer: C.40%
Explanation: The is always the difference between our starting and ending points. In this case, it’s 100 – 60 = 40. The “original” is our starting point; in this case, it’s 100. (40/100)*100 = (0.4)*100 = 40%.
C
Question: In how many E ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
A.E=288
B.E=144
C.12
D.48
Answer: B.E=144
Explanation: 4 white chess pieces can be arranged in 4! ways and 4 black pieces can be arranged in 3 ! ways.
W_W_W_W
Number of ways = 4!*3! = 24 * 6 = 144
Answer B
Question: A train 120 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
A.16 kmph
B.88 kmph
C.36 kmph
D.18 kmph
Answer: C.36 kmph
Explanation: S = 120/12 * 18/5
= 36 kmph
Answer: C
Question: How many ways could four cars can be parked at a parking lot with seven parking empty parking spots in which three of the seven spots will remain empty?
A.840
B.28
C.7
D.920
Answer: A.840
Explanation: ways in which 4 spots out 7 can be selected = 7C4
ways in which 4 cars can be arranged in 4 seats = 4!
Total ways of arrangement =7C4*4!
=(7*6*5/3*2)*24
=35*24
=840
Ans = A
Question: which number replaces the question mark and completes the puzzle ?
2 + 2 = 4,
3 + 3 = 18,
4 + 4 = 48,
6 + 6= ?
A.180
B.190
C.180
D.170
Answer: A.180
Explanation: Solution:
180
2 + 2 = 4 {2 * 2 * 1}
3 + 3 = 18 {3 * 3 * 2}
4 + 4 = 48 {4 * 4 * 3}
6 + 6 = 180 {6 * 6 * 5}
Answer A
Question: A mixture of 40 liters of milk and water contains 10% water. how much water should be added to this so that water may be 20% in the new mixture?
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: 4 ltr - Water
36 ltr - milk
Let X water be added then the new mixture must have 20% water
Then
4 + X = 20/100 (40+X)
X=5
ANSWER:C
Question: what is the sum of the first 20 odd natural numbers
A.300
B.400
C.500
D.600
Answer: B.400
Explanation: sum of first n odd natural nuber is = n^2
so sum of the first 20 odd natural numbers=(20)^2=400
ans 400
ANSWER:B
Question: Two 6 faced dice are thrown together. The probability that both show the same number on them is ?
A.1/6
B.1/12
C.1/18
D.1/2
Answer: A.1/6
Explanation: It all 3 numbers have to be same basically we want doublets. 11, 22, 33, 44, 55 and 66. Those are six in number. Further the three dice can fall in 6 * 6 = 36 ways.
Hence the probability is 6/36 = 1/6
Answer:A
Question: If 4a = 16b and 9b = 14c, Find a:b:c?
A.52:13:7
B.13:7:52
C.7:13:52
D.64:14:9
Answer: D.64:14:9
Explanation: Explanation:
(4a = 16b ==> a/b = 16/4)
and (9b = 14c ==> b/c = 14/9)
==> a:b = 16:4 and b:c = 14:9
a:b:c = 64:14:9
Answer: Option D
Question: If Y > X and XM < YM, what must be true?
A.M >0.
B.M < Y.
C.X < 0.
D.M < 0.
Answer: A.M >0.
Explanation: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.
This is only possible when -ve is multiplied on both sides. That means M is -ve
A is the answer
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
A.26
B.30
C.37
D.43
Answer: C.37
Explanation: Let the original number be 'a'
Let the divisor be 'd'
Let the quotient of the division of aa by dd be 'x'
Therefore, we can write the relation as a/d = x and the remainder is 24.
i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.
We know that a=dx+24. Therefore, 2a = 2dx + 48
The problem states that (2dx+48)/d leaves a remainder of 11.
2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.
The remainder of 11 was obtained by dividing 48 by d.
When 48 is divided by 37, the remainder that one will obtain is 11.
Hence, the divisor is 37.
C)
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A.(216 + 1)
B.(216 - 1)
C.(7 x 223)
D.(296 + 1)
Answer: D.(296 + 1)
Explanation: Let 232 = x. Then, (232 + 1) = (x + 1).
Let (x + 1) be completely divisible by the natural number N. Then,
(296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.
Answer:D
Question: A military camp has a food reserve for 250 personnel for 40 days. If after 15 days 50 more personnel are added to the camp, find the number of days the reserve will last for?
A.25
B.67
C.26
D.29
Answer: A.25
Explanation: Explanation:
As the camp has a reserve for 250 personnel that can last for 40 days, after 10 days the reserve left for 250 personnel is for 30 days. Now 50 more personnel are added
in the camp.
Hence, the food reserve for 300 personnel will last for:
250:300::x:30 ……..(it is an indirect proportion as less men means more days)
x = (250*30)/300
x = 25 days
ANSWER: A
Question: The sum of all two digit numbers divisible by 4 is
A.1242
B.1542
C.1742
D.1610
Answer: A.1242
Explanation: Required numbers are 12,16,20 . . . . . 96
This is an A.P. in which a=12,d=4 and l=96.
Let the number of terms in it be n.Then t=96
So a+(n-1)d=96.
12+(n-1)*6=96,
12+4n-4=96
4+4n=96
4n=96-4
n = 92/4
then n=23.
Required sum
=n/2(a+l)
=23/2(12+96)
=1242
Answer is A
Question: Of the 90 electronics components that a factory must manufacture, 50 percent would be most e¢ ciently manufactured by Machine A and the remaining 50 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 90 components. If 50 percent of the components were manufactured by Machine A and the remainder were manufactured by Machine B, what is thehighest possible number of components that were manufactured by the machine that would manufacture them the most efficiently?
A. 80
B. 32
C. 90
D. 33
Answer: C. 90
Explanation: A can manufacture 50 % of 90 efficiently, which is 45.
B can manufacure 50 % of 90 efficiently, which is 45.
Now 50 % of 90 are produced by A. This means 45 parts. Since A can produce 45 efficiently, all 45 are produced efficiently. Rest (45) is produced by B, which can produce max. 45 parts efficiently.
Hence parts that were produced efficiently = 45+45 = 90. (C).
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is
A.6
B.12
C.24
D.120
Answer: C.24
Explanation: Sol.
Required number = 1 × 2 × 3 × 4 = 24.
Answer C
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 10 o'clock in the morning?
A.80°
B.60°
C.30°
D.10°
Answer: B.60°
Explanation: The angle traced by the hour hand in 12 hours is 360°, which is 30° per hour.
In 2 hours, the angle traced by the hour hand is 2×30° = 60°
The answer is B.
Question: Mary works in a restaurant a maximum of 50 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
A.300
B.420
C.460
D.320
Answer: C.460
Explanation: Mary receives $8(20)=$160 for the first 20 hours.
For the 30 overtime hours, she receives $8(0.25) +$8 = $10 per hour, that is $10(30)=$300.
The total amount is $160+$300 = $460
Answer C 460.
Question: A certain sum of money at simple interest amounted Rs.698 in 7 years at 5% per annum, find the sum?
A.338
B.277
C.517
D.678
Answer: C.517
Explanation: 698 = P [1 + (7*5)/100]
P = 517
Answer:C
Question: The area of a triangle is with base 3m and height 10m?
A.88 m2
B.10 m2
C.66 m2
D.15 m2
Answer: C.66 m2
Explanation: 1/2 * 3 * 5 = 15 m2
Answer: C