RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many D different victory circles are possible?
A.24
B.52
C.96
D.144
Answer: B.52
Explanation: Possible scenarios are:
1. Gold/Silver/Bronze /No medal (no ties) - 4!=24;
2. Gold/Gold/Silver/No medal - 4!/2!=12;
3. Gold/Silver/Silver/No medal - 4!/2!=12;
4. Gold/Gold/Gold/No medal - 4!/3!=4.
Total: 24+12+12+4=52
Answer: B.
Question: A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
A.79.2 km/hr
B.69 km/hr
C.74 km/hr
D.61 km/hr
Answer: B.69 km/hr
Explanation: Let x is the length of the train and v is the speed
Time taken to move the post = 8 s
=> x/v = 8
=> x = 8v --- (1)
Time taken to cross the platform 264 m long = 20 s
(x + 264)/v = 20
=> x + 264 = 20v ---(2)
Substituting equation 1 in equation 2, we get
8v +264 = 20v
=> v = 264/12 = 22 m/s
= 22 × 36/10 km/hr = 79.2 km/hr
ANSWER:B
Question: Diana is painting statues. She has 1/2 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
A.8
B.20
C.28
D.14
Answer: A.8
Explanation: number of statues=all the paint÷amount used per statue
=1/2 ÷ 1/16
=8/16*16/1
=8/1
=8
Answer is A.
Question: If 50% of x is 25 less than 25% of 2500, then x is?
A.1880
B.2160
C.1200
D.8400
Answer: C.1200
Explanation: 50% of x = x/2 ; 25% of 2500 = 25/100 * 2500 = 625
Given that, x/2 = 625 - 25 => x/2 = 600 => x = 1200.
Answer: C
Question: The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally?
A.40
B.36
C.25
D.None of these
Answer: B.36
Explanation: Explanation :
Since, thief escaped with 1 diamond,
Before 3rd watchman, he had ( 1 + 2 ) x 2 = 6 diamonds.
Before 2nd watchman, he had ( 6 + 2 ) x 2 = 16 diamonds.
Before 1st watchman, he had ( 16 + 2 ) x 2 = 36 diamonds.
Answer : B
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y ?
A.360 m
B.420 m
C.460 m
D.320 m
Answer: B.420 m
Explanation: Explanation:
Let the length of the stationary train Y be LY
Given that length of train X, LX = 300 m
Let the speed of Train X be V.
Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.
=> 300/V = 25 ---> ( 1 )
(300 + LY) / V = 60 ---> ( 2 )
From (1) V = 300/25 = 12 m/sec.
From (2) (300 + LY)/12 = 60
=> 300 + LY = 60 (12) = 720
=> LY = 720 - 300 = 420 m
Length of the stationary train = 420 m
ANSWER IS B
Question: Find the highest common factor of 36 and 84.
A.4
B.6
C.12
D.18
Answer: C.12
Explanation: 36 = 22 x 32
84 = 22 x 3 x 7
H.C.F. = 22 x 3 = 12.
Answer: Option C
Question: During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
A.10%
B.15%
C.20%
D.25%
Answer: A.10%
Explanation: 4/10 of all the vehicles were not rented.
(3/5)(3/5) = 9/25 of all the vehicles are 4WDs that were not rented.
(9/25) / (4/10) = 9/10 is the fraction of non-rented vehicles that were 4WDs
1 - 9/10 = 10% of non-rented vehicles were not 4WDs.
The answer is A.
Question: Two dice are rolled. What is the probability the sum will be greater than 4?
A.1/9.
B.1/12.
C.5/36.
D.7/18.
Answer: D.7/18.
Explanation: Combinations possible: (6,6) , (5,6) , (6,5), (4,6), (6,4) , (5,5) , (5,4), (4,5), (4,4), (4,3) , (3,4), (3,3) , (3,2), (2,3) = 14
Total combinations possible: 6*6=36
Answer = 14/36 = 7/18 Option D.
Question: What is the 8th term in this sequence?
1,2,3,10,18,28,51
A.84
B.37
C.89
D.90
Answer: A.84
Explanation: 1+2 =3 +0 =3
3+2 =5+5 =10
10+3 =13+5 =18
18+10=28+0 =28
28+18=46+5 =51
51+28=79+5 =84
so 8th term is 84
ANSWER:A
Question: Percentage of profit earned by selling a book for $2200 is equal to the percentage loss incurred by selling the same book for $1800. What price should the book be sold to make 25% profit?
A.$2250
B.$2100
C.$2500
D.$2700
Answer: C.$2500
Explanation: Let C.P. be Rs. x.
Then,(2200 - x)	x 100 =(x - 1800)x 100
2200 - x = x - 1800
2x = 4000
x = 2000
Required S.P. = 125% of Rs. 2000 = 1.25x 2000 = $2500
Answer : C
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability M that 3 of Sam’s 4 funds grew by at least 10% over last year?
A. 6C3 / 10C4
B. 6C3 * 4C1 / 10C4
C. 6C3 * 4C1 / 10P4
D. 6P3 * 4P1 / 10C4
Answer: B. 6C3 * 4C1 / 10C4
Explanation: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.
We know this is a combination, not a permutation. This rules out choices C, DE.
A clearly isn't the answer because M 6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.
B it is.
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 18 seconds. What is the length of each train (in meters)?
A.20
B.25
C.35
D.50
Answer: B.25
Explanation: The relative speed = 46 - 36 = 10 km/hr = 10 * 5/18 = 25/9 m/s
In 18 seconds, the relative difference in distance traveled is 18 * 25/9 = 50 meters
This distance is twice the length of each train.
The length of each train is 50/2 = 25 meters
The answer is B.
Question: If taxi fares were $3.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 4-mile ride was
A.$6.80
B.$6.50
C.$16.80
D.$6.85
Answer: A.$6.80
Explanation: In 4 miles , initial 1/5 mile charge is $3
rest of the distance = 4 - (1/5) = 19/5
rest of the distance charge = 19(0.2) = $3.8 (as the charge is 0.2 for every 1/5 mile)
=> total charge for 4 miles = 3+3.8 = 6.8
Answer is A
Question: 1/3 -2/5+1/2 - 5/6 + 1/5 + 1/4 - 9/20 =
A.0
B.2/15
C.2/5
D.9/20
Answer: C.2/5
Explanation: We need to determine the result of 1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20
Let’s add the given fractions in two groups. In the group of the first three fractions, notice that1/3 and 1/2 share a common denominator of 6 with 5/6.
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Thus, 5/6 – 5/6 = 0
Looking at the 2nd group of the fractions (1/5, 1/4, and 9/20), notice that1/5 and 1/4 share a common denominator of 20 with 9/20.
1/5 + 1/4 = 4/20 + 5/20 = 9/20
Thus, 9/20 – 9/20 = 0.
Thus, the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20 is 2/5.
Answer: C
Question: How many numbers amongst the numbers 28 to 42 are there which are exactly divisible by 7 but not by 5?
A.Nil
B.1
C.2
D.3
Answer: C.2
Explanation: 28,35,42 are divisible by 7.
35 is divisible by 5 also.
So there are 2 numbers exactly divisible by 7 but not by 5
ANSWER:C
Question: Ram and Shyam distribute some coins amongst them in the ratio 4:5. If Ram steals 3 coins from Shyam, the ratio of coins they have becomes 5:4. How many coins did they distribute initially?
A.81
B.27
C.15
D.12
Answer: B.27
Explanation: Initially, the ratio of coins with Ram and Shyam was 4:5. So, let 4x be the number of coins with Ram and 5x be the number of coins with Shyam, making a total of 9x coins.
If Ram steals 3 coins from Shyam, Ram will have 4x + 3 coins and Shyam will have 5x -3 coins. The new ratio of the coins with them is given to be 5 : 4.
This means,
(4x+3)/(5x-3) = 5/4
Solving this equation we get, x = 3.
So the total number of coins they distributed originally was 9x = 9 times 3 = 27.
Ans B
Question: The price of an item is discounted 4 percent on day 1 of a sale. On day 2, the item is discounted another 4 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A.82.5%
B.89.9%
C.87.7%
D.86.4%
Answer: D.86.4%
Explanation: Let initial price be 100
Price in day 1 after 4% discount = 96
Price in day 2 after 4% discount = 92.16
Price in day 3 after 10% discount = 82.94
So, Price in day 3 as percentage of the sale price on day 1 will be = 82.94/96*100 => 86.4%
Answer will definitely be (D)
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150
B.160
C.170
D.180
Answer: A.150
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: Option A
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
A.52.5
B.52.9
C.52.1
D.52.3
Answer: A.52.5
Explanation: Sum of the marks for the class of 30 students = 30 * 40 = 1200
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1200 + 3000 = 4200
Average marks of all the students = 4200/80
= 52.5
Answer:A
Question: A table is bought for Rs.400/- and sold at Rs.450/- find gain or loss percentage
A.10%loss
B.12.5%gain
C.10%gain
D.15%loss
Answer: B.12.5%gain
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (450 - 400)/400 = 12.5% gain
B
Question: Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams A could be selected from the eight candidates?
A.56
B.120
C.210
D.1120
Answer: D.1120
Explanation: If an executive team is considered different if any of the same people hold different offices,....
so you will not have answer as 6720..
president could be by any of 8 person..
treasurer could be any out of remaining 7 person..
remaining three order does not matter, so we have to choose 3 out of 6=6c3=20..
total ways A= 8*7*20=1120..
ans D...
Question: Ram works in a bakery. He made cookies that cost $1.75 and made $325. How many customer did he have?
A.200 customers
B.186 customers
C.250 customers
D.100customers
Answer: B.186 customers
Explanation: A cookie costs $1.75 adding another one is $3.5. 325 divided by 3.5 is 92.86 x 2 is 186. He had 186 customers. The correct answer is B.
Question: George went to a fruit market with certain amount of money. With this money he can buy either 40 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
A.25
B.30
C.20
D.16
Answer: A.25
Explanation: Let the amount of money be 200
Let cost of 1 Orange be 4
Let cost of 1 mango be 4
He decides to retain 10% of 200 = 20 for taxi fare, so he is left with 180
He buys 20 mangoes ( @ 4) so he spends 80
Money left is 100(180 - 80)
No of oranges he can buy = 100/4 =>25
So, George can buy 25 Oranges.
A
Question: There is a 1 km long wire placed on some number of poles which are in equal distance. If the number of poles is reduced by 1 then the distance of wire between each poles
increases 1(2/3).How many poles are there initially.
A.24
B.25
C.26
D.27
Answer: C.26
Explanation: 26
ANSWER:C
Question: Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 10, and 20 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.5/3
B.7/4
C.9/5
D.11/6
Answer: C.9/5
Explanation: The time it takes printer X is 12 hours.
The combined rate of Y and Z is 1/10 + 1/20 = 3/20
The time it takes Y and Z is 20/3
The ratio of times is 12 / (20/3) = 3*12/20 = 9/5
The answer is C.
Question: Julian owes his classmate Jenny 20 dollars. If he borrows 8 dollars how much will he owe her?
A.28
B.12
C.-28
D.12
Answer: C.-28
Explanation: Add how he has already borrowed and how much he is going to borrow
-20+-8
correct answer C)-28
Question: Last year a certain bond price with a face value of 5000 yielded 10% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
A.7692
B.5325
C.5351
D.6000
Answer: A.7692
Explanation: Interest = 0.08*5000 = 0.065*selling price --> selling price = 0.1*5000/0.065 --> selling price = ~7692
Answer: A.
Question: A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied.
A.130
B.132
C.134
D.136
Answer: D.136
Explanation: Let the required number be x. Then,
43x – 34x = 1224 or 9x = 1224 or x = 136.
Required number = 136.
ANSWER:D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A.29
B.89
C.77
D.55
Answer: B.89
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.Answer:B
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 5/7. What is the probability that they agree in stating the same fact?
A.19/35
B.19/39
C.19/36
D.19/33
Answer: A.19/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 5/7 + 2/5 * 2/7
= 15/35 + 4/35 = 19/35
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.266
B.350
C.327
D.267
Answer: B.350
Explanation: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer:B
Question: In how many ways letters of the word HAPPY be arranged?
A.10
B.60
C.120
D.25
Answer: B.60
Explanation: HAPPY has 5 letters, out of which P repeated 2 times Hence total ways = 5! / 2!= 60 ways
B
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.23000, my total savings for the two-year is
A.s. 8000
B.s. 9000
C.s. 9900
D.s. 9990
Answer: A.s. 8000
Explanation: Sol. Income in first year = * x 42000 = Rs. 24000
Expenses in second year = \ x 21000 = Rs. 35000 Total savings = Total income - Total expenses = (42000 + 24000)- (23000 + 35000)
= 66000 - 58000 = Rs. 8000
A
Question: A is twice as good a work man as B and together they finish the work in 10 days. In how many days A alone can finish the work?
A.23
B.15
C.77
D.92
Answer: B.15
Explanation: WC = 2:1
2x + x = 1/10 => x = 1/30
2x = 1/15
A can do the work in 15 days.
Answer: B
Question: A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (Assume that the order of the colors in a pair does not matter.)
A.4
B.5
C.6
D.12
Answer: B.5
Explanation: Let's start with 4 minimum number of colors
So single color code we can make 4 nos.
Now if we need to make 2 color combination out of 4 we can do so in 4!/2!*2! or 4*3/2 or 6
So total we can make 4+6=10 color combinations but we have 12 boxes
So let's look at 5 we get 5 single color codes
and out 5 color choices, we can choose 2 in 5!/2!*3! ways or 10 ways.
So total we can have 5+10=15 color combinations.
So, minimum number we need will be 5
Ans is B.......
Question: Three candidates contested an election and received 600, 7025 and 11620 votes respectively. What percentage of the total votes did the winning candidate get?
A.57%
B.60.3%
C.65%
D.90%
Answer: B.60.3%
Explanation: total votes are 19245 ( sum of votes obtained by 3 candidates)
percentage of the total votes recd by the winning candidate = 100*11620/19245 = 60.3%
ANSWER:B
Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
A.17
B.90
C.20
D.21
Answer: B.90
Explanation: 10p2 = 10 Ã— 9 = 90
Answer : B
Question: the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
A.22 years
B.77 years
C.76 years
D.45 years
Answer: D.45 years
Explanation: (f + m + d)/3 = 35
=> f + m + d = 105 --- (1)
m + 15 = f + d
Substituting f + d as m + 15 in (1), we get
2m + 15 = 105
2m = 90 => m = 45 years.
Answer: D
Question: Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 766.
A.124 ,126, 128, 130
B.120 ,122 , 124 ,128
C.120 ,121 , 122 ,123
D.123 ,125 , 127 ,129
Answer: A.124 ,126, 128, 130
Explanation: Let x, x + 2, x + 4 and x + 6 be the four integers. The sum of the first two
x + (x + 2)
twice the sum of the last two is written as
2 ((x + 4) + (x + 6)) = 4 x + 20
sum of the first two added to twice the sum of the last two is equal to 766 is written as
x + (x + 2) + 4 x + 20 = 766
Solve for x and find all four numbers
x = 124 , x + 2 = 126 , x + 4 = 128 , x + 6 = 130
Answer A
Question: Select a card from pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both the cards being king ?
A.1/111
B.2/121
C.1 by 221
D.2/213
Answer: C.1 by 221
Explanation: Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221
C
Question: If Dev works alone he will take 20 more hours to complete a task than if he worked with Tina to complete the task. If Tina works alone, she will take 5 more hours to complete the complete the task, then if she worked with Dev to complete the task? What is the ratio of the time taken by Dev to that taken by Tina if each of them worked alone to complete the task?
A.4 : 1
B.2 : 1
C.10 : 1
D.3 : 1
Answer: B.2 : 1
Explanation: Let time taken by Dev to complete the work alone be x days and that by Tina be y days
Work done by Dev in 1 day = 1/x
Work done by Tina in 1 day = 1/y
Work done by DevTina in 1 day = 1/x + 1/y = (x+y)/xy
Thus working together they will complete the work in xy/(x+y) days
Acc. to the ques :
1)If Dev works alone he will take 20 more hours to complete a task than if he worked with Tina'
x - xy/(x+y) = 20
=> (x^2)/(x+y) = 20.............(i)
2)If Tina works alone, she will take 5 more hours to complete the complete the task, then if she worked with Dev
y - xy/(x+y) = 5
=> (y^2)/(x+y) = 5..............(ii)
Dividing (i) by (ii)
x^2/y^2 = 4
=> x/y = 2
Ans : B
Hope it helps
Question: What is the tens digit of 36^4?
A.1
B.3
C.5
D.7
Answer: C.5
Explanation: 36^10 = 6^20
(6^2)=6*6 = 36
(6^3)= 36*6 = .16
(6^4)= .16*6 = ..96
(6^5) = ..96*6 = ..76
(6^6) = ..76*6 = ...56
(6^7) = ....56*6 = ....36
If you see there is a pattern here in tens digits 3,1,9,7,5,3,1 and so on...
Continue the pattern up to 6^6 ( dont actually calculate full values) and answer is C: 5
Question: A 300 meter 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.350m
B.380m
C.350m
D.320m
Answer: C.350m
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
Answer: C
Question: The average of 10 numbers was calculated as 17. It is discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. What is the correct average?
A.19
B.20
C.21
D.22
Answer: B.20
Explanation: 10*17 - 26 + 56 = 200
200 / 10 = 20
The answer is B.
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
A.190
B.200
C.205
D.210
Answer: D.210
Explanation: Answer: Option 'D'
7p3 = 7 × 6 × 5 = 210
Question: How many kilograms of sugar costing Rs.9 per kg must be mixed with 27 kg of sugar costing Rs.7 per Kg so that there may be a gain of 10% by selling the mixture at Rs.9.24 per Kg?
A.36 Kg
B.42 Kg
C.54 Kg
D.63 Kg
Answer: D.63 Kg
Explanation: Solution
Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg
Answer D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
A.1:3
B.3:2
C.3:5
D.3:7
Answer: B.3:2
Explanation: Explanation:
Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
Length of the second train = 17y metres.
[because distance = speed*time]
27x+17y /x+y=23
=>27x+17y=23x+23y
=>4x=6y
=>x/y=6/4
So ratio of the speeds of train is 3:2
Option B
Question: If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the largest number?
A.3
B.7
C.4
D.5
Answer: D.5
Explanation: 5:2
5x + 10 : 2x + 10 = 5 : 4
5[2x + 10] = 4[5x + 10]
10x + 50 = 20x + 40
20x - 10x = 50 - 40
x = 1
Then the first number is = 5X
5x = 5
Option 'D'
Question: The sale price Laptops listed for Rs.30000 after successive discount is 30% and 20% is?
A.18600
B.17600
C.18600
D.16800
Answer: D.16800
Explanation: 30000*(70/100)*(80/100)
= 16800
Answer: D
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
A.15840
B.26480
C.15642
D.15640
Answer: A.15840
Explanation: a^2 = 69696 => a = 264
4a = 1056
1056 * 15 = 15840
Answer: A
Question: Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
A.16
B.17
C.15
D.10
Answer: D.10
Explanation: T = 8/48 * 60
= 10
Answer: D
Question: A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 240 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
A.5 mph
B.10 mph
C.20 mph
D.30 mph
Answer: B.10 mph
Explanation: SOLUTION:
D = 280 Mi
T = 12 hrs
Đây 1 time = T1
Dây 2 time = T2
T2 - T1 = 4 hrs ----- (I)
T1 + T2 = 12 hrs ----- (II)
Adding I and II, T2 = 8 hrs and T1 = 4 hrs
Dày 1 Rate = R1
Dây 2 Rate = R2
R1 - R2 = 10 mph
í.ẹ. R1 = 10 + R2
280 = 8R2 + 4R1
í.ẹ. 280 = 8R2 + 4 (10 + R2)
í.ẹ. R2 = 20 mph
ANSWER: B