RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 200 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
A.20
B.40
C.50
D.80
Answer: B.40
Explanation: Say, if speed is 40, 200/40 = 5 hrs and 200/50 = 4 hrs (a reduction of 1 hr -> Correct answer)
Answer (B)
Question: In how many ways can the letters of the word 'APPLE' be arranged?
A.48
B.60
C.56
D.32
Answer: B.60
Explanation: The word APPLE contains 5 letters
1A,2P,1L AND 1E
required number of ways = 5!/(1!*2!*1!*1!) = 60
Answer is B
Question: There are 400 tigers at a large zoo. The number of tigers is 5 times the number of all the other animals combined. How many more tigers are there than non tigers animals at the zoo?
A.400
B.390
C.370
D.320
Answer: D.320
Explanation: Answer is B.
Total tigers= 400 = 5 * Other Animals (X)
or X = 80.
So, Difference in tigers and X = 400-80 = 320.
Question: ? + 3699 + 1985 - 2047 = 31111
A.21274
B.27474
C.21224
D.27224
Answer: B.27474
Explanation: Explanation :
Let x + 3699 + 1985 - 2047 = 31111
=> x = 31111 - 3699 - 1985 + 2047 = 27474. Answer : Option B
Question: On Monday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A.Tuesday
B.Wednesday
C.Thursday
D.Friday
Answer: D.Friday
Explanation: Shirt combinations = 3!/1*(3-1)! = 3*2*1/1*2*1 = 3
Sweater combinations = 2!/1*(2-1)! = 2*1/1*1 = 2
Hat combinations = 4!/1!*(4-1)! = 4*3*2*1/1*3*2*1 = 4
Total Combinations = Shirt Combos*Sweater Combos*Hat Combos
3*2*4=24 combinations
24 / 7 (days of the week) = remainder of 3
Purchased on Monday, 3rd day is Thursday. Next day, which he won't have a new combination for, is Friday. (D)
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
A.18%
B.20%
C.17%
D.18%
Answer: C.17%
Explanation: Explanation:
Let the CP of the article = Rs.100.
Then labeled price = Rs.130.
SP = Rs.130- 10% of 130 = Rs.130-13 = Rs.117.
Gain = Rs.117 – Rs.100 = Rs.17
Therefore, gain/profit percent = 17%.
Answer: Option C
Question: Certain sales in December were 50% less than they were in January and 50% greater than they were in Febuary. What was the percentage decrease in the stocks from January to February ?
A.70.1%
B.55%
C.66.7%
D.57.5%
Answer: C.66.7%
Explanation: Let stocks value in Feb = 100 => In Jan =50 and March = 50 * 100/150 = 33.3
Thus, percent decrease in stocks from Feb to March = 100 - 33.3 =66.7%
Hence Answer is C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 21 seconds, what is the ratio of their speeds?
A.1:3
B.3:1
C.2:3
D.3:2
Answer: C.2:3
Explanation: Let the speed of the trains be x and y respectively
length of train1 = 27x
length of train2 = 17y
Relative speed= x+ y
Time taken to cross each other = 21 s
= (27x + 17 y)/(x+y) = 21
= (27x + 17 y)/ = 21(x+y)
= 6x = 4y
=x/y = 4/6 = 2/3 i.e 2:3
Answer :C
Question: What is the four-digit number in which the first digit is 1/3 of the second,the third is the sum of the first and second, and the last is three times the second?
A.1349
B.1347
C.1449
D.2349
Answer: A.1349
Explanation: It is given that the first digit is 1/3 of the second. There are 3 such possibilities 1)1 and 3
2)2 and 6
3)3 and 9
Now, the third digit is the sum of the first and second digits.
1)1 + 3 = 4
2)2 + 6 = 8
3)3 + 9 = 12
It is clear that option 3 is not possible. So we are left with only two options.Also, the last digit is three times the second, which rules out the secondoption. Hence, the answer is 1349
ANSWER:A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.87 Kmph
B.97 Kmph
C.72 Kmph
D.28 Kmph
Answer: C.72 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: C
Question: What is the area of square field whose side of length 15 m?
A.225 sq m
B.297 sq m
C.167 sq m
D.112 sq m
Answer: A.225 sq m
Explanation: 15 * 15
= 225 sq m
Answer: A
Question: Find the value of 72519 x 9999=m?
A.678994226
B.357900042
C.567890900
D.725117481
Answer: D.725117481
Explanation: 72519 x 9999 = 72519 x (10000 - 1)
= 72519 x 10000 - 72519 x 1
= 725190000 - 72519
= 725117481
D
Question: My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 100 years. Can you tell my grandson age in years?
A.50 years
B.20 years
C.5 years
D.10 years
Answer: C.5 years
Explanation: Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,365g = 52s.Since my grandson is 12g months old,12g = m.Since my grandson, my son and I together are 120 years,g + s + m = 100.The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows:g + 365g / 52 + 12g = 100 or52g + 365g + 624g = 5,200 org = 5,200 / 1,041 = 5 yearsAnswer : C
Question: A new ram material product $2.67 raw , $0.67 to manufacture, $4.73 to packing and sell price $9.03. How many unit order sold with profit 44000?
A.4583.33
B.4683.33
C.4783.33
D.4883.33
Answer: A.4583.33
Explanation: CP = 2.67 + 0.67 + 4.73 = 8.07
SP =9.03
Profit = 9.03 - 8.07 = 0.96
Unit order sold = 44000/0.96
=4583.33 unit order
ANSWER:A
Question: In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 65520000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
A.130000000
B.12500
C.14000
D.12000
Answer: A.130000000
Explanation: Explanation :
Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 65520000.
(75/100 * 96/100 * 70/100 * x) = 65520000.
=> x = (65520000*100*100*100)/(75*96*70) = 130000000
Answer : A
Question: City A to city B, Andrew drove for 1hr at 40 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
A.55
B.57.5
C.61
D.61.5
Answer: A.55
Explanation: The total distance is 1×40+3×60=220
And the total time is 4 hours. Hence,
Average Speed=(Total Distance/Total Time)
=220/4=55
A
Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 20 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 8 minutes?
A.100
B.90
C.80
D.30
Answer: C.80
Explanation: Machine B produces 100 part in 20 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in 20/2=10 minutes.
Now, Machine A produces 100 parts in 10 minutes which is 100/10 = 10 parts/minute.
10 parts X a total of 8 minutes = 80
C
Question: A boy has to cover a total distance of 300 kms. in 6 hours. He travels at the rate of 60 kmph. for first 90 minutes and next 100 kms. at the rate of 50 kmph. At what average speed must he travel now in order to complete the journey in 6 hours?
A.25 kmph.
B.32 kmph
C.44 kmph
D.58 kmph
Answer: C.44 kmph
Explanation: Explanation:
The boy travels 60 kmph for 90 min, this means he travels 90 km.
Next 100 km at the rate of 50 kmph, this means he travels 100 km.
Total distance traveled till now = 100 + 90 = 190 km
Time spent = 1.5 + 2 = 3.5 hr
Required speed = Remaining distance/ Time
= (300 – 190) /(6 – 3.5)
= 110/ 2.5 = 44 kmph
ANSWER: C
Question: On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?
A.0.008
B.0.125
C.0.128
D.0.512
Answer: C.0.128
Explanation: Re-phrasing the question:
What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain
Probability of rain = 0.2
Therefore, probability of no rain = 0.8
0.8*0.8*0.2 = 0.128
Hence C
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
A.1/5
B.1/3
C.3/7
D.2/7
Answer: B.1/3
Explanation: Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are girls’
F : ‘at least one of the child is a girl’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
B)
Question: A tap can fill a tank in 16 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A.2 hrs
B.1 hrs
C.10 hrs
D.5 hrs
Answer: C.10 hrs
Explanation: Explanation:
A tap can fill a tank in 16 hours.
Therefore the tap can fill half the tank in 8 hours.
One tap take time to fill half of the tank = 8 hrs
4 taps take time to fill half of the tank =8/4 hrs = 2 hrs
Total time taken to fill the tank = 8 hr+2 hr = 10 hrs
Answer : C
Question: A car gets 30 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers?
A.3.5 gallons
B.2.7 gallons
C.6.7 gallons
D.4.5 gallons
Answer: C.6.7 gallons
Explanation: Each 30 kilometers, 1 gallon is needed. We need to know how many 30 kilometers are there in 200 kilometers?
200 Ã· 30 = 6.7 Ã— 1 gallon = 6.7 gallons
correct answer is C) 6.7 gallons
Question: The lateral surface area of cube is 100 sq.units. find the volume of cube?
A.135
B.155
C.125
D.145
Answer: C.125
Explanation: Lateral surface = 4 a(power)2 = 100 sq.units
a(power)2 = 25
a = 5.
Cube volume = a(power)3 => 125 m(power)3
Answer is C.
Question: A statue is being carved by a sculptor. The original piece of marble weighed 300 kg. In the first week 30 percent is cut away. In the second week 30 percent of the remainder is cut away. In the third week the statue is completed when 15 percent of the remainder is cut away. What is the weight of the final statue?
A.105 kg
B.103 kg
C.108 kg
D.125 kg
Answer: D.125 kg
Explanation: D
125 kg
300 Ã— 0.7 Ã— 0.7 Ã— 0.85 = 125 kg.
Question: A number increased by 20% gives 480. The number is
A.200
B.400
C.300
D.450
Answer: B.400
Explanation: Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-"
A number means = 100 %
That same number increased by 20 % = 120 %
120 % -------> 480 (120 × 4 = 480)
100 % -------> 400 (100 × 4 = 400)
B)
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.9 km and 2.1 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.99
B.277
C.48
D.96
Answer: D.96
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.9 + 2.1 = 4 km = 4000 m.
Required time = 4000 * 3/125 = 96 sec.
Answer:D
Question: An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
A.5
B.10
C.15
D.20
Answer: B.10
Explanation: Total Employees: 6
Female: 5
Male: 1
committee of 3 with inclusion of Male
Number of ways Female can be selected : 5C2 = 10
For male it should be 6C1 or 6C6
6C1= 6
6C6= 1
ANS= 10 B
Question: A certain number of two digits is three times the sum of its digits and if 45 be added to it, the degits are reversed. The number is.
A.23
B.27
C.32
D.72
Answer: B.27
Explanation: Let the ten's digit be x and unit's digit be y.
Then 10x + y = 3 (x+y) ==> 7x - 2y = 0 ==> 7x - 2y = 0----> (I)
10 + y + 45 = 10y + x ==> y - x = 5 ===> -2x + 2y = 10------(II)
By adding (I) and (II) we get 5x = 10
so x = 2 and y = 7 so the required number is 27.
so the correct option is B) 27.
Question: Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
A.2:1
B.4:1
C.3:1
D.2:3
Answer: C.3:1
Explanation: The ratio of milk and water in the new vessel is = (4/5 + 7/10) : (1/5 + 3/10)
= 3/2 : 1/2 = 3:1
Answer is C
Question: A train is moving at a speed of 30km/hr and its length is 100m. Find the time taken by it to pass a man standing near the railway line?
A.12sec
B.10sec
C.15sec
D.18sec
Answer: A.12sec
Explanation: Speed of the train = 30*5/18 = 25/3 m/sec
Distance moved in passing the standing man = 100m
Required time taken = 100/(25/3) = 100*3/25 = 12sec
Answer is A
Question: The mean of 50 observations was 32. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A.35.2
B.32.5
C.36.5
D.39.1
Answer: B.32.5
Explanation: Sol.
Therefore correct sum
= ( 32 × 50 + 48 – 23)
= 1625.
Therefore correct mean
= 1625 / 50
= 32.5.
Answer B
Question: A vessel of capacity 60 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
A.23.89
B.72.9
C.38.3
D.43.35
Answer: D.43.35
Explanation: Explanation:
Let the initial quantity of milk in vessel be T litres.
Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.
Quantity of milk finally in the vessel is then given by [(T - y)/T]^n * T
For the given problem, T = 60, y = 9 and n = 2.
Hence, quantity of milk finally in the vessel
= [(60 - 9)/60]^2 (60) = 43.35 litres.
Answer: Option D
Question: Last year, Company X paid out a total of $1,050,000 in salaries to its 31 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?
A. $10,000
B. $$28,378.37
C. $42,000
D. $50,000
Answer: B. $$28,378.37
Explanation: Employee 1 earned $x(say)
Employee 2 will not earn more than $1.2x
Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 30 employees
(1.2x*30)+x=1,050,000
Solving for x=$28,378.37
Answer B
Question: If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: 3 < x < 6 < y < 10;
3 < x
y < 10
3 + y < x + 10
y - x < 7.
Positive integer difference is 6 (for example y = 9.5 and x = 3.5)
Answer: D.
Question: A secondhand car was purchased for £8000. After three years the car's value had decreased by 35%.Find the price of the car after three years.
A.£5100
B.£5200
C.£5300
D.£5400
Answer: B.£5200
Explanation: Solution
We begin by finding 10% of £8000 by dividing by 10. So 10% = £800.
Now 5% is half of 10% so 5% = £400
So 35% = 10% + 10% + 10% + 5% = 800 + 800 + 800 + 400 = £2800
The find the value of the car after three years subtract 35% from the original amount.
£8000 - £2800 = £5200
Answer B
Question: If the S.P of Rs. 63 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
A.s. 55
B.s. 56
C.s. 57
D.s. 58
Answer: B.s. 56
Explanation: Let the list price be Rs. X,
90/100*x = 63, x = 63*100/90 = 70
Required S.P = 80% of Rs. 70
= 80*70/100
=56
ANSWER:B
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
A.148
B.210
C.126
D.248
Answer: C.126
Explanation: 3/7 x – 40/100 x = 12
x = 35 * 12
35 * 12 * 60/100 = 252/2 = 126
ANSWER:C
Question: Circular gears L and R start to rotate at the same time at the same rate. Gear R makes 10 complete revolutions per minute and gear L makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear L have made exactly 6 more revolutions than gear R?
A.a) 6
B.b) 12
C.c) 10
D.d) 14
Answer: B.b) 12
Explanation: GearR -- 10 rotations per 60 seconds -- 1 rotation per 6 seconds.
Gear L -- 40 rotations per 60 seconds -- 4 rotations per 6 seconds.
First 6 seconds -- Gear R makes 1 rotation. -- Gear L makes 4 rotations -- Net difference -- 3 rotations
Hence every 6 seconds the difference between the number of rotations of R and L gear is 3 units.
Required net difference should be 6 rotations => 2 (6 seconds later) ==> 12 seconds.
Answer: B
Question: The area of playground is 6000 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
A.a) $144
B.b) $150.50
C.c) $168
D.d) $158.60
Answer: C.c) $168
Explanation: total volume * unit cost = total cost
or, 6000 * 0.01 * 2.8 = total cost = 168=C
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
A.22
B.28
C.17
D.12
Answer: D.12
Explanation: 2 * 22/7 * 14 * x = 1056 => x = 12
Answer: D
Question: Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally?
A.1/6 min
B.1/7 min
C.1/8 min
D.1/9 min
Answer: A.1/6 min
Explanation: both are approaching each other relative speed=60+60=120m/h
distance=50m
time=50/120=5/12hrs= 25 minutes to meet
now,
relative length of train= 1/6+1/6=1/3m
relative speed = 120m/h
time to cross both the trains= (1/3)/120=1/360 hrs
= 1/6 minutes
ANSWER:A
Question: The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :
A.22 cm
B.20 cm
C.18 cm
D.10 cm
Answer: C.18 cm
Explanation: Explanation:
Area of triangle, A1 = 1/2∗base∗height
=1/2∗15∗12=90cm2
Area of second triangle =2∗A1=180cm2
1/2∗20∗height=180
=>height=18cm
Option C
Question: In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 20 liters of milk, the can would be full and the ratio of milk and water would become 3:1. Find the capacity of the can?
A.52
B.56
C.60
D.64
Answer: C.60
Explanation: Let C be the capacity of the can.
(5/8)*(C-20)+20=(3/4)*C
5C-100+160=6C
C=60
The answer is C.
Question: Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $100 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
A. 121
B. 125
C. 132
D. 134
Answer: D. 134
Explanation: let the no. of 5 liter bottles be x, so the no. of 10l bottles will be x/2 (to equate the vol.) since the total cost will be equal , 2x= 100+x/2 so x= 133.33 or 134. Answer is (D).
Question: Sum of two numbers is 30. Two times of the first exceeds by 10 from the three times of the other. Then the numbers will be?
A.14, 16
B.16, 14
C.18, 12
D.12, 18
Answer: B.16, 14
Explanation: Explanation:
x + y = 30
2x Ã¢â‚¬â€œ 3y = 10
x = 16 y = 14
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.2.8 sec
C.3.5 sec
D.2.7 sec
Answer: A.2.5 sec
Explanation: Speed = 144 * 5/18 = 40 m/sec
Time taken = 100/40 = 2.5 sec.
Answer: A
Question: At a local supermarket, a box of cereal usually costs 22 dollars. This week, the supermarket sells the box of cereal for 11 dollars. How much money will you save if you buy this cereal at this supermarket?
A.11 dollars
B.13 dollars
C.14 dollars
D.12 dollars
Answer: A.11 dollars
Explanation: Solution:
In this situation, there is a decrease in the price.
Saving = 22 - 11 = 11 dollars
Option A
Question: 243 has been divided into three parts such that half of the first part, one - third of the second part and one - fourth of the third part are equal. The largest part is ?
A.12628
B.23488
C.26688
D.26667
Answer: A.12628
Explanation: Explanation:
Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.
Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.
Answer: A) 12628
Question: 1 + 2 + 3 + ... + 12 = ?
A.76
B.68
C.78
D.66
Answer: C.78
Explanation: 1+2+3+⋯+n=∑n=n(n+1)/2
1+2+3+⋯+12=n(n+1)/2=(12(12+1))/2=(12×13)/2=6×13=78
Answer is C
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
A.7.5
B.20
C.30
D.32
Answer: B.20
Explanation: Net part filled in 1 hour = (1/4 - 1/5) = 1/20
The cistern will be filled in 20/1 hrs i.e., 20 hrs.Answer: B
Question: Mr and Mrs A are opposite to each other.The distance between Mr A and Mrs A are 120 km.The speed of Mr A and Mrs A are 30 kmph, 10 kmph respectively.one Bee is running between Mr A nose to Mrs A nose and returning back to Mr A nose.The speed of Bee is 60 kmph. Then How far Bee traveled?
A.160km
B.170km
C.180km
D.190km
Answer: C.180km
Explanation: 30x+10X=120
X= 3 hrs
speed of bee=60kmph
distance traveled by bee=speed * time taken=60*3=180km
ANSWER:C
Question: Find the annual income derived by investing $ 6800 in 20% stock at 136.
A.550
B.1000
C.2500
D.300
Answer: B.1000
Explanation: By investing $ 136, income obtained = $ 20.
By investing $ 6800, income obtained = $ [(20/136)*6800] = $ 1000.
Answer B.
Question: If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice?
A.14%
B.25%
C.28%
D.36%
Answer: D.36%
Explanation: OFFICIAL SOLUTION:
If we start with 40 gallons of a mixture that is 10% grape juice, then we have:
40 × 0.20 = 8 gallons of grape juice.
40 × 0.80 = 32 gallons of other components.
If we add 10 gallons of grape juice, we will end up with 18 gallons of grape juice and 32 gallons of other components, and we will have a total of 50 gallons of the mixture.
So 18/50 of the new mixture is grape juice. Now we convert this to a percent:Percent Grape Juice = 18/50 = 36/100= 36%.
The correct answer is choice (D)
Question: The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
A.128
B.256
C.512
D.1024
Answer: B.256
Explanation: 2^7(2) = 2^8 = 256
The answer is B.
Question: What is the place value of 5 in the numeral 2534?
A.450
B.500
C.700
D.800
Answer: B.500
Explanation: Option 'B'
5 * 100 = 500
Question: A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
A.Rs 690
B.Rs 790
C.Rs 890
D.Rs 990
Answer: C.Rs 890
Explanation: Explanation:
A:B:C = (8000*6):(4000*8):(8000*8)
= 48:32:64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
Option C
Question: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?
A.4.58 %
B.5.96 %
C.6.52 %
D.4.98 %
Answer: B.5.96 %
Explanation: Explanation:
Difference in amount = 514 - 415 = 99
99 = (415 x 4 x R)/100
R = 5.96%
ANSWER IS B
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 126 in his diary to remember his PIN. He also wrote out the way to calculate 126 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 126".
Once, Prafull saw his diary in which Pinaki wrote this number 126. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
A.871
B.873
C.875
D.877
Answer: A.871
Explanation: Explanation :
Let, the PIN is x.
According to the question,
The card number =996 and Remainder =126.
Thus, (996 × x)/997=126.
=>x= 871.
Answer : A