RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: What is the remainder when 3^29 is divided by 5?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: The units digit of powers of 3 follow a repeating cycle of four: {3, 9, 7, 1}
29 has the form 4k+1, so the units digit of 3^29 is 3.
The remainder when dividing by 5 is 3.
The answer is D.
Question: Find out the square of a number which when doubled exceeds its one nineth by 17 ?
A.16
B.25
C.81
D.26
Answer: C.81
Explanation: Let the number be p, then the square will be p^2
According to question:
2p = (p/9) + 17
=> 18p = p + 153
=> p = 9
p^2 =9^2 = 81
Answer : C
Question: The probability of Sam passing the exam is 1/2. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
A.1/24.
B.1/2.
C.1/3.
D.2/3.
Answer: C.1/3.
Explanation: 1/2 *1/m= 1/6 , 1/m = 1/3
Answer C
Question: Mr. Wayne bungee jumps from the top of a building straight to the ground at a constant speed. 3 seconds after he starts plummeting he passes the 20th floor. 15 seconds after he starts plummeting he passes the 5th floor. Each floor is 3.8 meters high. What is Mr. Wayne's speed in meters per second?
A.3
B.4.75
C.4
D.4.25
Answer: B.4.75
Explanation: IMO: B
15 Floors * 3.8 Meter/Floor = 57 Meters
Time= 12 sec
Rate * 12 = 57
Rate= 57/12
=4.75
Answer B
Question: Manie spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
A.$30
B.$35
C.$70
D.$105
Answer: C.$70
Explanation: Manie spent 2⁄5 of her money on new clothes but if you see 21 is half of 3/5 money so 210 is too huge to be correct..
solution..
let the money be x..
2/5 is used...
1/2 of remaining 3/5 is put in savings account and remaining half is 21..
so 1/2 * 3/5 *x=21..
x=21*2*5/3=70..
C
Question: If John takes 5 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
A.5z/x
B.300z/x
C.300xz
D.300x/z
Answer: B.300z/x
Explanation: It will take (z/x)(5) minutes which is (z/x)(5)(60) seconds = 300z/x seconds.
The answer is B.
Question: If the sum of two numbers is 45 and the H.C.F and L.C.M of these numbers are 3 and 100 respectively, then the sum of the reciprocal of the numbers is equal to:
A.103/300
B.103/200
C.112/300
D.154/140
Answer: A.103/300
Explanation: Let the numbers be a and b.
Then, a + b = 45 and ab = 3*100 = 300.
Required sum = 1/a + 1/b = (a + b)/ab = 103/300
ANSWER:A
Question: Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 6?
A.y = -1/2*x + 3
B.y = 1/2*x - 6
C.y = 1/2*x + 3
D.y = 2x + 3
Answer: B.y = 1/2*x - 6
Explanation: Since our line has to perpendicular to y = − 2x + 3
Slope of this line , m = -2
Slope will be required line L = 1/2 ( Product of slope of perpendicular lines = -1)
y-intercept of line L is same as y intercept of line y = 2x − 6
y - intercept of line L = -6
Required line = 1/2* x - 6
Answer B
Question: Which of the following could be the value of x, if |4x – 2| = 10?
A.–3
B.–2
C.1
D.2
Answer: B.–2
Explanation: |4x – 2| = 10
=> 4x - 2 = 10
or 4x - 2 = -10
=> 4x = 12 or 4x = -8
=> x = 3 or x = -2
Answer B
Question: In a hotel we can order two types of varieties, but we can make 4 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
A.4
B.5
C.6
D.8
Answer: C.6
Explanation: 2c2*4c2=6ways
ANSWER:C
Question: Calculate the fourth proportional to 5.2, 6.6 and 9.1?
A.19.55
B.10.55
C.11.55
D.10.2
Answer: C.11.55
Explanation: Explanation:
Formula = Fourth propotional = (b × c)/a
A = 5.2 , B = 6.6 and C = 9.1
(6.6 × 9.1)/5.2 = 11.55
Answer: Option C
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.200
B.220
C.180
D.250
Answer: C.180
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 32 = 15
x + 300 = 480
x = 180 m.
Answer: Option C
Question: Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old his son. Then the sum of the present ages of the son and the father is?
A.109
B.106
C.104
D.108
Answer: D.108
Explanation: Let the present ages of the father and son be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.Answer: D
Question: In what time will a train 110 m long cross an electric pole, it its speed be 144 km/hr?
A.2.35 sec
B.2.85 sec
C.7.5 sec
D.2.75 sec
Answer: D.2.75 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 110/40
= 2.75 sec.
Answer:D
Question: At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
A.6
B.5
C.4
D.78
Answer: C.4
Explanation: 150 = (750*5*R)/100
R = 4%.Answer: C
Question: Find out the wrong number in the series.
6, 12, 48, 102, 384, 768, 3072
A.768
B.384
C.102
D.488
Answer: C.102
Explanation: Each even term of the series is obtained by multiplying the previous term by 2.
2nd term = (1st term) x 2 = 6 x 2 = 12
4th term = (3rd term) x 2 = 48 x 2 = 96.
6th term = (5th term) x 2 = 384 x 2 =768.
4th term should be 96 instead of 102.
ANSWER:C
Question: Manet has to pay back her bank loan over 9 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, ?
How much will she pay back on the ninth month?
A.$155
B.$145
C.$135
D.$125
Answer: D.$125
Explanation: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 9th Month is $125
Ans D
Question: The difference between the local value and the face value of 7 in the numeral 32675149 is
A.69990
B.69993
C.70000
D.77000
Answer: B.69993
Explanation: Explanation:
(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993
B)
Question: In a workshop there are 4 kinds of beds, 2 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
A.72.
B.80.
C.56.
D.48.
Answer: A.72.
Explanation: Bed = Select 1 out of 4 = 4C1 = 4
Shelf = Select 1 out of 2 = 2C1= 2
Chair (7)+ Closet (2) = Total 9 = Select 1 out of 9 = 9C1
Possible combinations to chooseBED*SHELF*(CHAIR+CLOSET)=4*2*9=72 ways
ANSWER IS A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
A.2888
B.24000
C.27777
D.29997
Answer: B.24000
Explanation: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 52000
Share of B = 6/13 (52000) = Rs. 24000
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
A.299
B.277
C.112
D.750
Answer: D.750
Explanation: Speed = [90 * 5/18] m/sec = 25 m/sec; Time
= 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x
= 25 * 60 / 2
= 750
Answer: D
Question: The perimeters of two squares are 40 cm and 24 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
A.22 cm
B.24 cm
C.32 cm
D.28 cm
Answer: C.32 cm
Explanation: Explanation:
We know perimeter of square = 4(side)
So Side of first square = 40/4 = 10 cm
Side of second square = 24/4 = 6 cm
Area of third Square = 10*10 - 6*6
= 64 cm
So side of third square = 8 [because area of square = side*side]
Perimeter = 4*Side = 4*8 = 32 cm
Answer: Option C
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/3% profit
B.50/6% profit
C.16 2/3% loss
D.100/3% loss
Answer: C.16 2/3% loss
Explanation: Explanation:
10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
ANSWER IS C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A.31/32
B.31/35
C.31/31
D.31/36
Answer: A.31/32
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A
Question: A man can row a boat at 18 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A.30/16 hours
B.80/13 hours
C.15/6 hours
D.30/13 hours
Answer: C.15/6 hours
Explanation: Speed downstream = 18 + 6 = 24 kmph.
Time required to cover 60 km downstream
= d/s = 60/24
= 15/6 hours.
Answer:C
Question: The ratio of the first and second class fares between two stations is 3 : 1 and that of the number of passengers travelling between the two stations by the first and the second class is 1 : 50. If in a day, Rs. 1, 325 are collected from the passengers travelling between the two stations, then the amount collected from the second class from the second class passengers is
A.1,250
B.1,000
C.850
D.750
Answer: A.1,250
Explanation: Explanation:
Let the fares be 3 x and x respectively for the first and second class.
Suppose in a day passengers travelling between the two stations be 1 and 50.
Then by given condition, 3 x × 1+x × 50=1,325 => x=25
The amount collected from second class = 25×50 = Rs. 1250
Answer: A
Question: In a class, 5 people like baseball and football, 2 people only like baseball, 3 people only like football, and 6 people like neither. How many people are in the class?
A.10
B.14
C.16
D.20
Answer: C.16
Explanation: 16.
To get the answer, you can simply add the different types of students, as there are no overlaps in the categories: 5+2+3+6=16. As such, the correct answer is C: 16.
Question: Mr. Sam's car gets him 50 miles per gallons of gas. If Mr Sam get a full tank with 14 gallons of gas, How far can Mr Sam go?
A.52 miles
B.1400 miles
C.700 miles
D.1000 miles
Answer: C.700 miles
Explanation: Solution
Number of miles per gallon = 50 miles
Number of miles 14 gallons = x
x = 50 Ã— 14 = 700 miles.
So, Number of miles Sam gets with 14 gallons = 700 miles.
Option C
Question: The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: Explanation:
Let x is subtracted.
Then,
(6−x)/(7−x)< 16/21
21(6—x)<16(7—x)
=>5x>14=x>2.8
Least such number is 3
Option A
Question: In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
A.50 sec
B.190 sec
C.287 sec
D.74 sec
Answer: B.190 sec
Explanation: Explanation:
Time taken by B run 1000 meters = (1000 * 10)/50 = 200 sec.
Time taken by A = 200 - 10 = 190 sec.
ANSWER B
Question: The length of a rectangle is increased by 35% and its breadth is decreased by 20%. What is the effect on its area?
A.10800
B.1299
C.1000
D.10000
Answer: A.10800
Explanation: 100 * 100 = 10000
135 * 80 = 10800
Answer: A
Question: If the average cost of a house was $50,000 in 1965 and was x in 2000, what was the average increase in home prices per year over this period?
A.A)(x+50,000)/40
B.B)(x-50,000)/35
C.C)(50,000/40)+x
D.D)(50,000-x)/40
Answer: B.B)(x-50,000)/35
Explanation: Average house price in 2000: x
Average house price in 1965: 50,000
2000-1965=35
Average increase per year: (x-50,000)/35
Answer is B
Question: To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
A.Combined, with a saving of 10 cents
B.Combined, with a saving of 15 cents
C.Separately, with a saving of 5 cents
D.Combined, with a saving of 5 cents
Answer: D.Combined, with a saving of 5 cents
Explanation: 5 pounds = 1*10+4*5 = 30
10 pounds = 1*10+9*5 =55
total = 85
15 pound = 1*10+14*5 = 80
dif. 5
Answer : D
Question: A department of eight people - four men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
A.36
B.48
C.60
D.72
Answer: B.48
Explanation: They can make a team of 3 men and 2 women.
The number of ways to do this is 4C3*4C2=4*6 = 24
They can make a team of 2 men and 3 women.
The number of ways to do this is 4C2*4C3=6*4 = 24
The total number of distinct groups is 48.
The answer is B.
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
A.720
B.730
C.740
D.780
Answer: A.720
Explanation: 720
Option 'A'
Question: A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class?
A.30
B.26
C.11
D.31
Answer: B.26
Explanation: DETAILED SOLUTION
Let the total students be (n + 1)
Let total badges be x
Let the average of ‘n’ students be y
The student who got 1/6th of x = 5y
Or y = x/30
Therefore ‘n’ students got 1/30th of total share each
Or n * x/30 + 1 * x/6 = x
nx + 5x = 30x
n + 5 = 30
Or n = 25
Total = n + 1 = 26
Correct Answer: B
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices?
A.243
B.245
C.45
D.121
Answer: A.243
Explanation: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 3*3*3*3*3=3^5=243.
Answer: A.
Question: Matt gets a $1,600 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $400, how many sales has Matt made?
A.9
B.4
C.5
D.6
Answer: A.9
Explanation: Let, Average Commission = x
No. of items sold = y
Total Commission = xy
New Commission = xy+1600
New Average = (xy+1600) / (y+1) = 150+x
i.e. (xy+1600) = (y+1)* (150+x)
i.e. (xy+1600) = (xy+x+150y+150)
i.e. (1450) = (x+150y)
New Commission = 400 = 150+x
i.e. x=250
i.e. y = 8
New Sales = y+1 = 9
Answer: option A
Question: a coffee seller has two types of coffee Brand A costing 5 bits per pound and Brand B costing 3 bits
per pound. he mixes two brands to get a 40 pound mixture. he sold this at 6 bits per pound. the seller gets a profit of 33 1/2 percent. how much he has used Brand A in the mixture?
A.10
B.20
C.30
D.40
Answer: C.30
Explanation: cost price of mixture=(100*selling price of mixture)/(100+profit)=(100*6)/(100+33.5) =600/133.5=Rs 4.50(approximately),
Then ratio of A and B = (4.50-3):(5-4.50)=3:1,
Therefore Brand A in 40 pound mixture=40*3/4=30
ANSWER:C
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.00 a.m. ?
A.7
B.6
C.5
D.2
Answer: C.5
Explanation: C
5
Relative speed = 2 + 3 = 5 rounds per hour.
So, they cross each other 5 times in an hour and 2 times in half an hour.
Hence, they cross each other 5 times before 9.00 a.m.
Question: The compound interest earned on a sum for the second and the third years are $1200 and $1260 respectively. What is the rate of interest?
A.5%
B.8%
C.11%
D.14%
Answer: A.5%
Explanation: 1260 - 1200 = 60 is the rate of interest on $1200 for one year.
The rate of interest = (100 * 60) / (1200) = 5%
The answer is A.
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
A.30 min
B.35 min
C.45 min
D.50 min
Answer: C.45 min
Explanation: there are 9 hours in between 9 a.m. to 6 p.m.
9*5=45 minutes.
ANSWER:C
Question: A coin is tossed 7 times. Find the probability of getting more heads than tails in all 7 tosses?
A.1/2
B.63/128
C.4/7
D.61/256
Answer: A.1/2
Explanation: Assuming the coin is fair - P(H)=P(T)=1/2
We can do as proposed by the explanation in your initial post:
Total outcomes: 2^7
Favorable outcomes:
4 heads --> combination of HHHHTTT --> 7!/(4!*3!)=35 (# of permutation of 7 letters out of which 4 H's and 3 T's are identical);
5 heads --> combination of HHHHHTT --> 7!/(5!*2!)=21;
6 heads --> combination of HHHHHHT --> 7!/(6!*1!)=7;
7 heads --> combination of HHHHHHH --> 1;
P(H>T)=Favorable outcomes/Total outcomes=(35+21+7+1)/2^7=1/2.
Answer:A
Question: Working together at their respective constant rates, Machine A and Machine B can produce 900 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 900 unit total would it produce?
A.30
B.33
C.50
D.67
Answer: A.30
Explanation: 1/A+1/B= 1/T
1/A +1/12= 1/8 (50% more of 8 is 12)
1/A= 1/24
Machine A can produce 900 units in 24 hrs, so it can produce 900*8/24= 300 units is 8 hrs.
300 is 30% of 900.
A is the answer
Question: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
A.10.30
B.10
C.8.45
D.9.3
Answer: B.10
Explanation: Explanation:
Assume both trains meet after x hours after 7 am
Distance covered by train starting from P in x hours = 20x km
Distance covered by train starting from Q in (x-1) hours = 25(x-1)
Total distance = 110
=> 20x + 25(x-1) = 110
=> 45x = 135
=> x= 3
Means, they meet after 3 hours after 7 am, ie, they meet at 10 am. Answer: B
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 3x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order? (1 cubic meter = 1,000 liters)
A.100
B.90
C.82
D.78
Answer: A.100
Explanation: The question say:A welder received an order to make a 1 million liter cube-shaped tank. (1 cubic meter = 1,000 liters)
In other words, the tank is going to have a volume of 1000 cubic meters. That would equal 1 million liters.
A cube with a volume of 1000 cubic meters must be (10 meters) x (10 meters) x (10 meters).
The question doesn't specify whether this tank should have a closed top or an open top. (The real GMAT is good about specifying things like that.) Here, we are going to assume a closed top, only because if the top is open, we don't use enough metal --- we get an answer smaller than any of the answer choices. A closed-top cube, a full cube, has 6 sides, each of which is (10 meters) x (10 meters). That's a total surface area of 600 sq m.
The question tells us:he has only 3x2 meter sheets of metal that can be cut.
Each sheet has an area of 6 sq m. How many of these need to fill up 600 sq m? 600/6 = 100. He needs 100 sheets.
Answer =A
Question: The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
A.W = 15 and L = 20
B.W = 25 and L = 30
C.W = 35 and L = 40
D.W = 45 and L = 50
Answer: A.W = 15 and L = 20
Explanation: L * W = 300 : area , L is the length and W is the width.
2 L + 2 W = 70 : perimeter
L = 35 - w : solve for L
(35 - W) * W = 300 : substitute in the area equation
W = 15 and L = 20 : solve for W and find L using L = 35 - w.
correct answer A
Question: In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
A.17000
B.18000
C.15120
D.21000
Answer: C.15120
Explanation: 9p5 =9 x 8 x 7 Ã— 6 Ã— 5 = 15120
Answer : C
Question: A’s speed is 20/12 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
A.1/17
B.3/17
C.1/10
D.6/20
Answer: D.6/20
Explanation: We have the ratio of A’s speed and B’s speed. This means, we know how much distance A covers compared with B in the same time.
This is what the beginning of the race will look like:
(Start) A_________B______________________________
If A covers 20 meters, B covers 12 meters in that time. So if the race is 20 meters long, when A reaches the finish line, B would be 8 meters behind him. If we want the race to end in a dead heat, we want B to be at the finish line too at the same time. This means B should get a head start of 8 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 20 meters) would be the same as the time required by B (to cover 12 meters) to reach the finish line.
So B should get a head start of 8/20th of the race.
Answer (D)
Question: If x is an odd integer, which of the following is an even integer?
A.2x-x
B.x+1
C.2x+3
D.x^3
Answer: B.x+1
Explanation: Plug in an odd integer; in this case 3
(2*3)-3 = 3 Odd
3+1 = 4 Even
(2*3)+3 = 9 Odd
3^3 = 27 Odd
(3*3)+(2*3) = 9 + 6 = 15 Odd
Answer: B
Question: Two trains 120 meters and 150 meters long are running in the same direction with speeds of 92 km/hr, 56km/hr. In how much time will the first train cross the second
A.37 sec
B.22 sec
C.27 sec
D.35 sec
Answer: C.27 sec
Explanation: Explanation:
Relative speed of the trains = (92 - 56) km/hr = 36 km/hr
= (36× 5/18) m/sec = 10 m/sec.
Time taken by the trains to cross each other
= Time taken to cover (120 + 150) m at 10 m /sec = (270/10) sec = 27 sec.
Answer: Option C
Question: Two trains of length 150 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
A.100/7 sec
B.80/7 sec
C.57/7 sec
D.110/7 sec
Answer: D.110/7 sec
Explanation: Relative speed = (54 + 72)* 5/18 = 7 * 5 = 35 mps.
The time required = d/s = (150 + 100 + 300)/35
= 550/35 = 110/7 sec.
ANSWER:D
Question: What is 0.05 percent of 12,356?
A.0.6178
B.61.78
C.6.178
D.0.06178
Answer: C.6.178
Explanation: Since, Percent=1/100, what=something(s), and is:=. We can write the question as s=0.05(1/100)12,356. The answer is 6.178. Hence, the correct answer is C.
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
A.88.1
B.89.0
C.89.1
D.89.5
Answer: C.89.1
Explanation: Option 2 = (90 - 9) + 0.1 * 81
= 81 + 8.1 = 89.10
Option 4 = 90 + 0.2 * 90 - 10
= 98
So the OA is correct - C
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
A. 4/11
B. 1/2
C. 15/22
D. 144/17
Answer: D. 144/17
Explanation: P1 takes 12 hrs
Rate for P2P3 together = 1/16 + 1/18 = 17/144
Therefore they take 144/17
Ratio = 144/17 = D
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2376?
A.2277
B.2400
C.2200
D.2766
Answer: B.2400
Explanation: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2376.
=> (90%) of (110%) of x = Rs. 2376.
=> (90/100)(110/100)x = 2376
=> x = (2376 * 100)/(9 * 11)
=> x = Rs. 2400
Answer: B
Question: Three liquids were mixed in 5:4:1 ratios. If cost per kg for ach of them is 4.50,
3.75& 5.10. Then in what price mixture should be sold to get 25% profit?
A.52.25
B.53.25
C.54.25
D.55.25
Answer: B.53.25
Explanation: cp of the liquid=5*4.50+4*3.75+1*5.10=42.6
In order to gain 25%profit
Sp=1.25*42.6=53.25
ANSWER:B
Question: Speed of trains A and B are 29 & 56 km/hr travelling in the same direction. Man in slower train passes in 16 min.
Find the length of the train.?
A.100 m
B.110 m
C.120 m
D.220 m
Answer: C.120 m
Explanation: let length of 2 trains = 2x
Relative speed= 56-29 = 27 km/hr
= (27*5)/18 m/sec
= 15/2 m/sec
so, 2x/16=15/2
2x=120
ANSWER:C