RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?
A.7
B.6
C.3
D.4
Answer: C.3
Explanation: Let the least number to be subtracted be 'x', then 11 - x, 15 - x, 21 - x and 30 - x are in proportion.
<=> (11 - x):(15 - x) = (21 - x):(30 -x)(21 - x)
From the options, when x = 3
=> 8 * 27 = 12 * 18 => then x = 3. => (11 - x)(30 - x) = (15 - x)(21 - x)
Answer: C
Question: A triangle has three angles all with the same ratio to each other, 1:1:1. What is the angle measurement?
A.45Â°
B.60Â°
C.75Â°
D.90Â°
Answer: B.60Â°
Explanation: If the ratio is 1:1:1, and the total angle measurement is 180Â°, then the equation is
x + x + x = 180Â°
3x = 180Â°
x = 60Â°
Therefore the answer is 60Â° or B.
Question: Company C sells a line of 25 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 12 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
A.10,000
B.11.0
C.12,000
D.13,200
Answer: D.13,200
Explanation: The average price of 25 products is $1,200 means that the total price of 25 products is 25*1,200=$30,000.
Next, since exactly 12 of the products sell for less than $1,000, then let's make these 12 items to be at $400 each (min possible).
Now, the remaining 12 items cannot be priced less than $1,000, thus the minimum possible price of each of these 12 items is $1,000.
Thus the minimum possible value of 24 products is 12*400+12*1,000=$16,800.
Therefore, the greatest possible selling price of the most expensive product is $30,000-$16,800=$13,200.
Answer: D.
Question: What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
A.1386
B.1276
C.1566
D.1466
Answer: A.1386
Explanation: LCM of 12,14,18 and 22 = 2772
least no which will be exactly divisible by 12,14,18 and 22 = 2772
2772/2 = 1386
1386 is the number when doubled 2772
=>1386 is the least exactly divisible by 12,14,18 and 22.
ANSWER A
Question: All of the stocks on the over-the-counter market are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
A.27(26^3)
B.26(26^4)
C.27(26^4)
D.26(26^5)
Answer: A.27(26^3)
Explanation: Number of 4-letter codes: 26 * 26 * 26 = 26^3
Number of 5-letter codes: 26 * 26 * 26 * 26 = 26^4
Total Number of codes: 26^3 + 26^4 = 26^3 + 26*(26^3) = 27*(26^3)
Therefore, the answer is A: 27*(26^3).
Question: One dog tells the other that there are two dogs in front of me.The other one also shouts that he too had two behind him. How many are they?
A.3
B.4
C.1
D.6
Answer: A.3
Explanation: Explanation:
Dog
Dog
Dog
So there are 3 dogs.
They are in circle.
Answer: A
Question: L29Q,L31S,P37U,R41W,T43U,?
A.V43Y
B.U47Y
C.V47Z
D.V47Y
Answer: D.V47Y
Explanation: L + Q = 29
L + S = 31
P + U = 37
R + W = 41
T + W = 43
29 , 31 , 37 , 41 , 43 ---> prime number number sequence
=> next number = 47
V + Y = 47 => V47Y
ANSWER:D
Question: A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 5 days. For how many number of days should A and C should work together to complete the remaining work ?
A.1/2
B.2/3
C.3/4
D.4/3
Answer: B.2/3
Explanation: b work 1/8 * 5=5/8
remaining work =1-5/8=3/8
a and c work together =1/6+1/12=3/12=1/4
take remaining work is done in =8/3 *1/4=2/3 days
ANSWER:B
Question: An art gallery owner is hanging paintings for a new show. Of the eight paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
A.18
B.30
C.64
D.6720
Answer: D.6720
Explanation: Arrangement means permutations questions..
8P3 = 8!/3! = 6720
.
ANS option D is correct answer..
Question: How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: (C) 3 , with 2 we will have exactly 50%, so for more than 50% should be 3.
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 6. If X invested Rs.5,000. the amount invested by Y is
A.Rs.45,000
B.Rs.50,000
C.Rs.60,000
D.Rs.15,000
Answer: D.Rs.15,000
Explanation: Solution
Suppose Y invested Rs.y
Then,	5000 /y = 2 / 6
â€¹=â€º y=(5000Ã—6 / 2).
â€¹=â€º y=15000.
Answer D
Question: If f(a)=2a, what is the value of (f(a-b)+f(a))/b ?
A.4a/b
B.3a+4b/b
C.(4a-2b)/b
D.5a-6b*b
Answer: C.(4a-2b)/b
Explanation: f(a)=2a
f(a-b)= 2(a-b)
(f(a-b)+f(a))/b = (2(a-b)+2a)/b = (4a-2b)/b
Answer is C
Question: How many factors does 36^2 have?
A.2
B.8
C.24
D.25
Answer: D.25
Explanation: 36^2 = 2^4 3^4
total factors = (4+1)(4+1) = 25.
Answer is D.
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number
A.8
B.10
C.12
D.14
Answer: A.8
Explanation: Explanation:
=> 3(2x+9) = 75
=> 2x+9 = 25
=> x = 8
Option A
Question: If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 9 miles?
A.27/5
B.26/5
C.23/5
D.22/5
Answer: A.27/5
Explanation: 1 km is approxmately equal to 0.6 miles
So 9 km = 9*0.6 = 5.4 miles . Multiple & divide by 10
i.e 5.4*10/10 = 54/10 = 27/5
Answer : A
Question: A train is 400 meter long is running at a speed of 60 km/hour. In what time will it pass a signal post?
A.28 seconds
B.30 seconds
C.40 seconds
D.24 seconds
Answer: D.24 seconds
Explanation: Speed = 60 Km/hr = 60*(5/18) m/sec = 150/9 m/sec
Total distance = 400 meter
Time = Distance/speed
= 400 * (9/150) = 24 seconds
Answer: D
Question: An archer is shooting arrows from various distances. She shoots at a target from 40 yards, 50 yards, and 60 yards. The probability that she hits within the bullseye from 40 yards is 4/5, the probability that she hits within the bullseye from 50 yards is 3/4, and the probability that she hits within the bullseye from 60 yards is 2/3. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
A.39/40
B.49/50
C.59/60
D.9/10
Answer: C.59/60
Explanation: The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses every shot = (prob that she misses from 40 yards)*(prob that she misses from 50 yards)*(prob that she misses from 60 yards)
Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4; Prob that she misses from 60 yards = 1 - 2/3 = 1/3
Thus the probability that she misses all shots = (1/5)*(1/4)*(1/3) = 1/60
Thus the probability that she makes at least one shot = 1 - (1/60) = 59/60
C
Question: How many seconds will a 600 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.25
B.36
C.40
D.45
Answer: B.36
Explanation: Relative speed of the train=63-3=60kmph=60*5/18=50/3 m/sec
t=600*3/50=36sec
ANSWER:B
Question: Fortunes, the latest SUV by Toyota Motors, consumes diesel at the rate of 1400×[1000x+x]1400×[1000x+x] litres per km, when driven at the speed of xx km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms?
A.34 km per hour
B.54 km per hour
C.49 km per hour
D.65 km per hour
Answer: C.49 km per hour
Explanation: Given that the diesel consumption is at the rate
1400×[1000x+x]1400×[1000x+x]
Cost of diesel = Rs 35 per litre
Payment to the driver = Rs 125 per hour.
Also given that the SUV is driven at the speed of xx km per hour.
Total cost (c)(c)
=1400×[1000x+x]×800×35+125×800x=1400×[1000x+x]×800×35+125×800x
=70000x+70x+100000x=70000x+70x+100000x
Now differentiating both sides in the above equation with respect to xx.
dcdx=−170,000x2+70=0dcdx=−170,000x2+70=0
⇒ x=49 km per hour.
C
Question: Find the annual income derived by investing $ 6800 in 40% stock at 136.
A.550
B.2000
C.250
D.3000
Answer: B.2000
Explanation: By investing $ 136, income obtained = $ 40.
By investing $ 6800, income obtained = $ [(40/136)*6800] = $ 2000.
Answer B.
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 8 minutes more to walk to work than to ride his bike to work, then x equals?
A.4
B.7
C.12
D.15
Answer: C.12
Explanation: Please follow posting guidelines, link is in my signatures.
As for your question, x/60 = blocks/time/block = block^2/time . This is not what you want. You are given x blocks and 60 seconds PER BLOCK. Thus you need to put it as 60*x to give you units of seconds as you are equating this to 480 (which is TIME in seconds.).
Thus the correct equation is : 60*x-20*x=480 ----> 40x=480--> x = 12.
Option C
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
A.40%
B.44%
C.80%
D.90%
Answer: C.80%
Explanation: Explanation:
A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
Answer: Option C
Question: For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 525 what is the least possible value of k?
A.10
B.14
C.15
D.21
Answer: A.10
Explanation: 525 = 3*5*5*7
Thus k must include numbers at least up to the number 10 so that there are two appearances of 5.
The answer is A.
Question: Three models (P, Q, and R) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model P, 17 cars of Model Q, and 15 cars of Model R. What is the maximum number of cars of model P in any showroom ?
A.17
B.16
C.15
D.14
Answer: C.15
Explanation: The total number of cars is 51. So each showroom has 17 cars(since the number of cars in each showrooms should be equal 51/3=17).
Moreover that the number of model P is maximum means that the numbers of model Q and R should be minimum. Since each model must be represented by at least one car in every showroom that minimum number should be 1.
So Maximum number of model P is 17-2= 15.
The answer is (C)
Question: Find the average of first 60 natural numbers?
A.50.5
B.52
C.30.5
D.75
Answer: C.30.5
Explanation: Sum of first 100 natural numbers = 60*61/2 = 1830Required average = 1830/60 = 30.5Answer is C
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
A.240
B.288
C.277
D.390
Answer: D.390
Explanation: (3*8 + 2*4):(4*8 + 5*4)
8:13
13/21 * 630 = 390
Answer: D
Question: In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 2,400 circuit boards where 64 fail inspection?
A.72
B.356
C.200
D.256
Answer: B.356
Explanation: Total of 2,400 boards. All that fail verification are indeed faulty. So the 64 are indeed faulty. 1/8 those that pass are also faulty.
From the 2,400 we know 64 fail. So 2,336 must pass. Of these 1/8 are faulty. 2,336 divided by 8 gives you 292.
What one must do now is to add to the 292 which were not detected the actually detected faulty ones, namely the 64.
Total faulty: 356.
Answer: B
Question: A, B and C start at the same time in the direction to run around a circular stadium. A completes a round in 252 seconds and C in 198 seconds, all starting at the same point. after what time will they meet again at the starting point ?
A.26 minutes 18 seconds
B.42 minutes 36 seconds
C.45 minutes
D.46 minutes 12 seconds
Answer: D.46 minutes 12 seconds
Explanation: Solution
L.C.M. of 252, 308 and 198 = 2772.
So, A, B and C will again meet at the starting point in 2772 sec. i.e, 46 minutes 12 seconds. Answer D
Question: Diana is painting statues. She has 7/16 of a gallon of paint remaining. Each statue requires 1/16 gallon of paint. How many statues can she paint?
A.7
B.20
C.28
D.14
Answer: A.7
Explanation: number of statues=all the paint÷amount used per statue
=7/16 ÷ 1/16
=7/16*16/1
=7/1
=7
Answer is A.
Question: A can do a piece of work in 30 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.30 days
B.65 days
C.86 days
D.45 days
Answer: A.30 days
Explanation: 10/30 + 10/30 + 10/x = 1
x =30 days
Answer:A
Question: In the new budget , the price of kerosene oil rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase ?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: Reduction in consumption = [((R/(100+R))*100]%
=[(25/125)*100]%=20%.
Answer is B.
Question: At present, the ratio between the ages of Arun and Deepak is 4:3. After 7 years, Arun's age will be 19 years. What is the age of Deepak at present?
A.16
B.14
C.12
D.9
Answer: D.9
Explanation: Let the present ages of Arun and Deepak be 4x and 3x years respectively.
Then, 4x + 7 = 19 => x = 12
Deepak's age = 3x = 9 years.
Answer: D
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.10 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.399
B.272
C.732.6
D.277
Answer: C.732.6
Explanation: Answer: Option C
Explanation:
a2 = 3136 => a = 56
56 * 4 * 3 = 672 â€“ 6 = 666 * 1.1 = 732.6 Answer: C
Question: If W is the set of all the integers between 69 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
A.20
B.32
C.33
D.34
Answer: A.20
Explanation: Multiples of 2 from 69 to 99=Multiples of 2 from 1 to 99-Multiples of 2 from 1 to 68=[99/2]-[68/2]=49-34=15
Multiples of 3 from 69 to 99=Multiples of 3 from 1 to 99-Multiples of 3 from 1 to 68=[99/3]-[68/3]=33-23=10
Multiples of2 and 3 bothi.e.6 from 69 to 99=Multiples of 6 from 1 to 99-Multiples of 6 from 1 to 68=[99/6]-[68/6]=16-11=5
These 8 Numbers have been counted twice in both the above calculation while calculating multiples of 2 and 3
i.e. Total Numbers in W = 15 + 10 - 5 = 20
Answer Option A
Question: Joshua and Jose work at an auto repair center with 2 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
A.1/15
B.1/12
C.1/9
D.1/6
Answer: D.1/6
Explanation: Two Methods
1) Probability of chosing Josh first = 1/4
Probability of chosing Jose second = 1/3
total = 1/12
Probability of chosing Jose first = 1/4
Probability of chosing Josh second = 1/3
Total = 1/12
Final = 1/12 + 1/12 = 1/6
D
Question: The average of 7 numbers is 25. If each number be multiplied by 5. Find the average of new set of numbers?
A.A)110
B.B)122
C.C)120
D.D)125
Answer: D.D)125
Explanation: Explanation:
Average of new numbers = 25 * 5 = 125
Answer: Option D
Question: Solve 2log53 X log9x + 1 = log53
A.3/5
B.4/5
C.4
D.4/6
Answer: A.3/5
Explanation: Solution:
We can rewrite the above equation in the below format
=> log532 X log9x = log53 - 1
=> log59 X log9x = log53 - log55
=> log59 X log9x = log5(3/5)
By Using the change of base rule in Left side we get
=> log5x = log5(3/5)
The value of X = 3/5
ANSWER IS A
Question: The perimeter of a semi circle is 144 cm then the radius is?
A.22
B.28
C.98
D.37
Answer: B.28
Explanation: 36/7 r = 144
=> r
= 28
Answer: B
Question: The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
A.9:22
B.9:20
C.9:25
D.9:26
Answer: C.9:25
Explanation: a13 : a23 = 27 : 125
a1 : a2 = 3 : 5
6 a12 : 6 a22
a12 : a22 = 9:25
Answer:C
Question: Set S consists of numbers 2, 3, 6, 48, and 164. Number K is computed by multiplying one random number from set S by one of the first 10 non-negative integers, also selected at random. If Z=6^K, what is the probability that 678,463 is not a multiple of Z?
A.10%
B.25%
C.50%
D.90%
Answer: D.90%
Explanation: Probability of any random number being picked from set S = 1
Probability of kk not being 0 = 9/10 ( as there are total of 10 ways to pick up k and 9 ways for k not being 0)
Since it's an AND event , we will multiply the probabilities of both the events.
Hence total probability = 1∗9/10=90%. Answer:D
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 8 pumps work to empty the tank in 1 day?
A.6
B.10
C.11
D.12
Answer: A.6
Explanation: 3 pumps take 16 hrs total (8 Hrs a day)
If 1 pump will be working then, it will need 16*3=48 hrs
1 pump need 48 Hrs
If I contribute 8 pumps then
48/8=6 hrs.
answer :A
Question: A bus leaves Los Angeles at 9:00 a.m. traveling north at 50 miles per hour. At 11:00 a.m. a plane leaves Los Angeles traveling north at 200 miles per hour. At what time will the plane overtake the bus?
A.11:40 a.m.
B.12:15 p.m.
C.10:00 a.m.
D.11:25 a.m.
Answer: A.11:40 a.m.
Explanation: At 11:00am, the bus is 100 miles ahead of plane
The plane travels at 200 mph, which gains 150 mph on bus
100/250=2/5 hours = 40 minutes
11:00 + 0:40 = 11:40
The plane will overtake bus at 11:40am
Answer:A
Question: What is the smallest no. that should be added to 31110 to make it exactly divisible by 9?
A.1
B.3
C.5
D.6
Answer: B.3
Explanation: If a number is divisible by 9, the sum of its digits must be a multiple of 9.
Here, 3+1+1+1+0=6, the next multiple of 9 is 9.
3 must be added to 31110 to make it divisible by 9
B
Question: An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
A.600 km/hr
B.720 km/hr
C.730 km/hr
D.750 km/hr
Answer: B.720 km/hr
Explanation: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
B
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
A.300
B.230
C.245
D.250
Answer: C.245
Explanation: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: Option C
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
A.9
B.8
C.4
D.5
Answer: C.4
Explanation: 4 πr2 = 64 => r = 4
Answer:C
Question: A card is drawn at random from a pack of 52 cards. What is the probability that it is neither a spade nor a jack?
A.9/13
B.4/13
C.2/13
D.6/13
Answer: A.9/13
Explanation: There are 13 spades including a jack and 3 more jacks of other suits.
Probability of getting spade or a jack:
= (13 + 3)/52
= 16/52
= 4/13
Therefore, the probability of getting neither a spade nor a jack:
= 1 − 4/13
= 9/13
ANSWER:A
Question: At a contest with 3000 participants, 1/2 of the people are aged 8 to 14. Next year, the number of people aged 8 to 14 will increase by 1/6. After this change, what percentage of the total 3000 people will the 8- to 14-year-olds represent?
A.53.33%
B.50%
C.58.33%
D.55.33%
Answer: C.58.33%
Explanation: I just wanted to mention a couple of things here:
* this is a pure ratio question; the number 3000 is completely irrelevant, and you can ignore it if you like. When we increase something by 1/6, we are multiplying it by 1 + 1/6 = 7/6, so the answer here must be (1/2)*(7/6) = 7/12 = 58.33 %.
Answer : C
Question: Strawberries are purchased for $5/lb at the Farmer's Market. 4/5 of the strawberries will be used for making jam (1/5 of strawberries are rotten and thrown out). The strawberries are crushed and 1 lb of strawberries produces 2 cups of strawberry juice which is mixed with sugar to make the jam. If 3 cups of strawberry juice can make one jar of jam, how much money is needed to buy strawberries to make x number of jars of jam, in dollars?
A.2x
B.75x/8
C.8x/15
D.2x/3
Answer: B.75x/8
Explanation: Initial cost for 1 lb = $5, but ONLY 4/5 is used.
So the cost of 4/5 lb = $5, or 1 lb = $25/4,
and 1 lb of strawberries produces 2 cups of strawberry juice,so 2 cups of strawberry juice costs $25/4, but 3 cups are needed for 1 jar, so cost of 3 cups = $(25/4)(3/2) = $75/8.
If 1 jar costs $75/8, x number of jars will cost $75x/8..
Answer is B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
A.398
B.379
C.237
D.480
Answer: D.480
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: D
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
A.62%
B.18%
C.72%
D.12%
Answer: D.12%
Explanation: 100 * 100 = 10000
80 * 110 = 8800
10000------- 1200
100 ------- ? = 12%
Answer: D
Question: If N is a positive integer and 14N/60 is an integer. What is the smallest Value of N for which N has exactly four different prime factors.?
A.30
B.60
C.180
D.210
Answer: D.210
Explanation: 14N/60 tells us that N must be multiple of 30.
Or N has at least 2 *3 * 5 in it.
To find out the smallest value of N such that it has 4 different prime factors, we will multiple 30 with next smallest prime factor which is 7 here.
So, Least value of N is 30 *7 =210 .
ANSWER:D
Question: The decimal 0.1 is how many times greater than the decimal (0.01)^4?
A.10^5
B.10^6
C.10^7
D.10^8
Answer: C.10^7
Explanation: 0.1 = 10^-1
(0.01)^4 = (10^-2)^4 = 10^-8
10^7 * 10^-8 = 10^-1
The answer is C.
Question: A train passes a station platform in 36 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.177 m
B.176 m
C.240 m
D.187 m
Answer: C.240 m
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 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/458
C.1/453
D.1/456
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue
= ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer: A
Question: Last year Elaine spent 20% of her annual earnings on rent. This year she earned 20% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
A. 185.5
B. 180.0
C. 167.5
D. 172.5
Answer: B. 180.0
Explanation: For this it is easiest to use simple numbers. Let's assume that Elaine's annual earnings last year were $100.
She would've spent $20 of this on rent.
This year she earned 20% more, or $120
She would've spent 30% of this on rent, or $36
Do $36/$20
This will give you 180%
B is the correct answer.
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.150m
B.157m
C.750m
D.850m
Answer: A.150m
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer:A:
Question: Calculate the average of all the numbers between 10 and 86 which are divisible by 9.
A.49.5
B.41.5
C.45.5
D.40.5
Answer: A.49.5
Explanation: Explanation:
numbers divisible by 9 are 18,27,36,45,54,63,72,81,
Average = (18+27+36+45+54+63+72+81,) / 8 = 396/8 = 49.5
ANSWER: A