RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The distance from City A to City B is 180 miles. While driving from City A to City B, Ed drives at a constant speed of 30 miles per hour. Flora leaves City A 2 hours after Ed. What is the minimum constant speed in miles per hour that Flora must exceed in order to arrive in City B before Ed?
A.35
B.40
C.45
D.50
Answer: C.45
Explanation: The time it takes Ed to drive to City B is 180 / 30 = 6 hours.
Flora needs to take less than 4 hours for the trip.
Flora needs to exceed a constant speed of 180 / 4 = 45 miles per hour.
The answer is C.
Question: Find the circumference and area of radius 4 cm.
A.24 cm²
B.44 cm²
C.50 cm²
D.84 cm²
Answer: C.50 cm²
Explanation: Area of circle = πr²
= 22/7 × 4 × 4 cm²
= 50 cm²
ANSWER:C
Question: If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
A.2:4:5
B.1:2:7
C.9:6:4
D.3:6:9
Answer: C.9:6:4
Explanation: Answer: Option C
A:B = 1/2:1/3 = 3:2
B:C = 1/2:1/3 = 3:2
A:B:C = 9:6:4
Question: Raman mixed 44 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A.129.25
B.287.25
C.194.25
D.188.25
Answer: C.194.25
Explanation: Explanation:
CP per kg of mixture = [44(150) + 36(125)]/(44 + 36) = Rs. 138.75
SP = CP[(100 + profit%)/100]
= 138.75 * [(100 + 40)/100] = Rs. 194.25
Answer:C
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card?
A.1/13
B.4/13
C.1/4
D.9/52
Answer: B.4/13
Explanation: Solution
Clearly, there are 52 cards, out of which there are 16 faces cards.
Therefore, P(getting a face card)
= 16/52
‹=›4/13.
Answer B
Question: Two pens and one eraser cost Rs. 35 and 3 pencil and four erasers cost Rs. 65. Find the cost of pencil and eraser separately.
A.5,15
B.15,5
C.5,10
D.10,5
Answer: B.15,5
Explanation: Let pen be x and eraser be y
Then 2x + y = 35 ……………(i)
And 3x + 4y = 65 ……………(ii)
Multiplying equation (i) by 4, and subtracting we get
5x = 75
x = 15
Substituting the value of x = 15 in equation (i) 2x + y = 35 we get;
2 × 15 + y = 35
30 + y = 35
y = 35 – 30
y = 5
Therefore, the cost of 1 pen is Rs. 15 and the cost of 1 eraser is Rs. 5. correct ans is B
Question: What is the decimal equivalent of (1/4)^5?
A.0.0016
B.0.0625
C.0.0001
D.0.25
Answer: C.0.0001
Explanation: (1/4)^5 = 1/1024 =0.0001
Answer : C
Question: A sells his house to B at a profit of 10% who in turn sells it to C at a profit of 15% who in turn Sells it to D at a profit of 25% and D sells it to E at 35% profit. If cost price of E’s house is Rs 35,00,000, what is the approximate cost price of A’s house?
Correct Show Answer
Explanation:
A.Rs 15,40,000
B.Rs 15,10,000
C.Rs 15,00,000
D.Rs 16,40,000
Answer: D.Rs 16,40,000
Explanation: Let the cost price of A’s house = Rs X
Therefore, Cost price of E’s house
= 1.1 x 1.15 x 1.25 x 1.35 x X
Therefore, 3500000 = 1.1 x 1.15 x 1.25 x 1.35 x X
X = 3500000 / 1.1 x 1.15 x 1.25 x 1.35
= Rs 16,39,584.25
The nearest option is Rs 16,40,000.
ANSWER:D
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
A.1
B.3
C.4
D.8
Answer: D.8
Explanation: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Question: The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is
A.76 years
B.11 years
C.19 years
D.15 years
Answer: C.19 years
Explanation: Explanation:
Sum of the present ages of husband, wife and child = (23 * 2 + 5 * 2) + 1 = 57 years.
Required average = (57/3) = 19 years.
Answer: C
Question: If 5/(4 + 1/x) = 1, then x =
A.3
B.1
C.1/3
D.-1/3
Answer: B.1
Explanation: The expression 5/(4 + 1/x) = 1 should have been equal to something .
If 5/(4 + 1/x) = 1
=>5x/(4x + 1 ) = 1
=> 5x = 4x + 1
=> x = 1
Correct Option : B
Question: Find the next number in the series ?
2 3/4 5/7 7/10 11/13 13/16 ?
A.18/20
B.17/16
C.18/40
D.17/19
Answer: D.17/19
Explanation: D
17/19
series is 2/1 3/4 5/7 7/10 11/13 13/16
Numerator is prime number series 2-3-5-7-11-13-17
and Denominator is +3 series 1-4-7-10-13-16-19
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A.35
B.88
C.25
D.99
Answer: A.35
Explanation: Suppose pipe A alone takes x hours to fill the tank.
Then, pipes B and C will take x/2 and x/4 hours respectively to fill the tank.
1/x + 2/x + 4/x = 1/5
7/x = 1/5 => x = 35 hrs.
Answer: A
Question: The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture?
A.2
B.5
C.6
D.7
Answer: B.5
Explanation: Explanation:
Wine Water
8L 32L
1 : 4
20 % 80% (original ratio)
30 % 70% (required ratio)
In ths case, the percentage of water being reduced when the mixture is being replaced with wine.
so the ratio of left quantity to the initial quantity is 7:8
Therefore , \frac{7}{8}=\left [ 1-\frac{K}{40} \right ]
\Rightarrow \frac{7}{8}=\left [ \frac{40-K}{40} \right ] \Rightarrow K= 5 l
Answer: B) 5
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
A.7/14
B.7/15
C.7
D.8/15
Answer: D.8/15
Explanation: A's 1 day's work = 1/15
B's 1 day's work = 1 /20
(A + B)'s 1 day's work = ( 1/15 + 1/20 ) = 7 /60
(A + B)'s 4 day's work = (4*7)/60 = 7/15
Therefore, Remaining work = ( 1 - 7/15) = 8/15
So correct answer is D
Question: In an old fort, If 15 spiders make 15 webs in 15 days, then 1 spider will make 1 web in how many days?
A.1
B.15/2
C.15
D.225
Answer: C.15
Explanation: Explanation :
Solution: Let the required number of days be x.. Then,
Less spiders, more days (IP)
Less webs, less days (DP)
.'. Spiders 1 : 15
} : : 15 : x
webs 15 : 1
.'. 1*15*x = 15*1*15 <=> x = 15.
Answer : C
Question: What will be the cost of building a fence around a square plot with area equal to 144 sq ft, if the price per foot of building the fence is Rs. 58?
A.2784
B.2287
C.2977
D.2668
Answer: A.2784
Explanation: Let the side of the square plot be a ft.
a2 = 144=> a = 12
Length of the fence = Perimeter of the plot = 4a = 48 ft.
Cost of building the fence = 48 * 58 = Rs. 2784.
Answer:A
Question: The ratio of two quantities is 5 to 9. If each of the quantities is increased by 7, what is the ratio of these two new quantities?
A.14/15
B.It cannot be determined from the information given.
C.15/19
D.21/22
Answer: B.It cannot be determined from the information given.
Explanation: let the actual ratio be 5k/9k, increase numerator and denominator by 7=> 5k+7/9k+7
Until the value of k is unknown we can not determine the actual ratio.
OR
let the actual be 3/4. After increasing 7 => 10/11
let the actual be 6/8. After increasing 7 => 13/15
Therefore without actual quantities we cannot determine the actual ratio.
Answer : B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.272 less than the sum lent. What was the sum lent?
A.400
B.278
C.289
D.500
Answer: A.400
Explanation: P - 272 = (P*4*8)/100
P = 400
Answer: A
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
A.298
B.28
C.26
D.99
Answer: B.28
Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 10 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 2 and Q = 8
The required number is = 28,.Answer:B
Question: A man can row a boat at 28 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.30/83 hours
B.80/13 hours
C.30/17 hours
D.30/19 hours
Answer: C.30/17 hours
Explanation: Speed downstream = 28 + 6 = 34 kmph.
Time required to cover 60 km downstream
= d/s = 60/34
= 30/17 hours.
Answer:C
Question: The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
A.125
B.298
C.267
D.260
Answer: A.125
Explanation: Sum of the 35 numbers = 35 * 25
= 875
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5
= 125.
Answer:A
Question: In what time a sum of money double itself at 3% per annum simple interest?
A.33 1/9%
B.33 1/3%
C.33 7/3%
D.33 2/3%
Answer: B.33 1/3%
Explanation: P = (P*3*R)/100
R = 33 1/3%
Answer: B
Question: 76.8% of my office colleges are non-vegetarian.
What's the least number of person working in my office to hold above statement true.
A.110 people
B.126 people
C.120 people
D.122 people
Answer: B.126 people
Explanation: B
126 people
125 people + Me
96/125 = 76.8
Question: how many such letters pairs are in word BONAFIDE having same no. of letters left between them in the word as they have in the series
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: Arranging BONAFIDE in order : ABDEFINO
Pairs are:-
1. AB
2. DE
3. DEF
4. EF
5. NO
So total of 5 pairs will be there.
ANSWER:C
Question: Two pipes can fill a tank in 10 hours & 12 hours respectively. While 3rd pipe empties the full tank n 20 hours. If all the three pipes operate simultaneously,in how much time will the tank be filled?
A.6 hrs 43 min
B.2 hrs 25 min
C.7 hrs 30 min
D.6 hrs 32 min
Answer: C.7 hrs 30 min
Explanation: tank filled in 1 hr = 1/10 + 1/12 - 1/20 = 8/60 = 2/15 part
so full tank is filled in 15/2 hrs = 7 hr 30 min..
ANSWER:C
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
A.38 liters
B.40 liters
C.38.5 liters
D.2 liters
Answer: D.2 liters
Explanation: 95% ----------- 38
5% ------------ ? => 2 liters
ANSWER:D
Question: A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 45.00?
A.$ 10.00
B.$ 11.20
C.$ 14.40
D.$ 25.20
Answer: D.$ 25.20
Explanation: For retail price = $45
First maximum discounted price = 45 - 30% of 45 = 45-13.5 =31.5
Price after additional discount of 20% = 31.5 - 20% of 31.5 = 31.5 - 6.3 = 25.2
Answer: Option D
Question: The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?
A.3 minutes
B.0.04 hours
C.2 minutes
D.2.4 minutes
Answer: C.2 minutes
Explanation: Explanatory Answer
Step 1: Compute the length of the diagonal of the square
Let 'a' meters be the length of a side of the square field.
Therefore, its area = a2 square meters. --- (1)
The length of the diagonal 'd' of a square whose side is 'a' meters = √2 a --- (2)
From (1) and (2), we can deduce that the square of the diagonal = d2 = 2a2 = 2(area of the square)
Or d = √2 * area meters.
d =√2∗24200=48400 = 220 m.
Step 2: Compute the time taken to cross the field
The time taken to cross a distance of 220 meters while traveling at 6.6 kmph = 220 m/6.6 kmph
Convert unit of speed from kmph to m/min
1 km = 1000 meters and 1 hour = 60 minutes. So, 6.6 kmph = 6.6∗1000/60 m/min = 110 m/min
∴ time taken = 220/110= 2 minutes
Choice C
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
A.8 days
B.6 days
C.7 days
D.9 days
Answer: C.7 days
Explanation: 1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
Answer: C
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1300, what is the reduced price for kg?
A.s.40
B.s.65
C.s.49
D.s.41
Answer: B.s.65
Explanation: 1300*(25/100) = 325 ---- 5
? ---- 1
=> Rs.65
Answer: B
Question: If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3?
I. 2
II. 1
III. -3
A.II only
B.III only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: Notice that we are told that n is a prime number and n ≠ 3. Thus, n cannot be 1.
n also cannot be 6 or any other multiple of 3, thus the remainder cannot be 0.
It can be 1 for n=2 and 2 for n=5.
Answer: C.
Question: How many repeat sequence of three consecutive numbers are there in the given sequence?
6 9 6 2 4 2 9 6 2 9 2 6 9 4 9 6 2 6 9 2 4
A.3
B.2
C.1
D.4
Answer: A.3
Explanation: 962 repeated 3times
ANSWER:A
Question: List I: 3, 6, 12, 19
List II: x, 3, 6, 8, 19
A. 6
B. 7
C. 8
D. 9
Answer: D. 9
Explanation: We start by calculating the median of the numbers of list I: 3, 6, 12, 19. We see that the numbers in the list are in order already and, since we have an even number of numbers, the median is the average of the two middle numbers.
median = (6 + 12)/2
median = 18/2
median =9
The median of list I is 9.
Looking at list II: x, 3, 6,12, 19, we see that we have an odd number of terms. Thus, when the list is ordered from least to greatest the median must be the middle term. Since the medians of the two lists must be equal, we know that the median of list II must be 9 and therefore x is 9.
The answer is D.
Question: Each shelf of a bookcase contained 11 books. If the librarian took out 31 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 4 books, how many shelves does the bookcase have?
A.5
B.6
C.7
D.8
Answer: C.7
Explanation: Let x be the number of shelves.
11x - 31 = 7(x-1) + 4
4x = 28
x = 7
The answer is C.
Question: 1804 x 1804 = ?
A.A)3254416
B.B)3624216
C.C)3624316
D.D)3625116
Answer: A.A)3254416
Explanation: 1804 x 1804 = (1804)2
= (1800 + 4)2
= (1800)2 + (4)2 + (2 x 1800 x 4)
= 3240000 + 16 + 14400.
= 3254416.
A)
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
A.27
B.29
C.30
D.31
Answer: D.31
Explanation: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation
larger number – smaller number = 7
which is equivalent to
Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.
D
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 8 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
A.20 km
B.30 km
C.40 km
D.50 km
Answer: C.40 km
Explanation: Number of stops in an hour: 60/5 = 12
Distance between stops: 60/12 = 5 km
Distance between Yahya's house and Pinedale Mall: 5 x 8 = 40 km
IMO, correct answer is "C."
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A.271
B.476
C.277
D.9898
Answer: B.476
Explanation: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x = 476
Answer: B
Question: Three coins are tossed. What is the probability of getting at most two tails?
A.7/8
B.1/8
C.1/2
D.1/7
Answer: A.7/8
Explanation: Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when 3 coins are tossed, n(S) = 2 × 2 × 2 = 8
(∵ i.e., S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH})
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
Hence, n(E) = 7
P(E) = n(E)/n(S)=7/8
Answer is A
Question: A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
A.32500
B.2500
C.22500
D.30000
Answer: A.32500
Explanation: Let his total sales be Rs.x.Now(Total sales) – (Commission )=Rs.31,100
x-[(5% of 10000 + 4% of (x-10000)]=31,100
x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100
x-500-((x-10000)/25)=31,100
x-(x/25)=31200  24x/25=31200x=[(31200*25)/24)=32,500.
Total sales=Rs.32,500
ANSWER A
Question: The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.10 m
B.16 m
C.245 m
D.265 m
Answer: D.265 m
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(110 + x) = 750 => x
= 265 m.
Answer: D
Question: Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
A.16 km
B.20 km
C.18 km
D.15 km
Answer: B.20 km
Explanation: Distance = Relative Speed * Time
= (2 + 3) * 4 = 20 km
[ They are travelling in the opposite direction, relative speed = sum of the speeds].
Answer: B
Question: In western Europe, P bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
A.9% of (x/100)
B.14% of (x/100)
C.75% of (x/100)
D.9% of P
Answer: D.9% of P
Explanation: Moreover is't question actually asking the the difference between the {(Quantity Produced + Quantity Sold )P in 1990 - (Quantity Produced + Quantity Sold ) in 1993}
Though the Quantity sold in both the years is same it actually boils down to (Quantity Produced in 1990 ) in (Quantity Produced in 1993)=D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
A.5512
B.2800
C.5550
D.2787
Answer: C.5550
Explanation: Total production of salt by the company in that year
= 5000 + 5100 + 5200 + .... + 6100
= 66600.
Average monthly production of salt for that year = 66600/12
= 5550.
Answer:C
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.245
B.225
C.200
D.250
Answer: A.245
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
ANSWER A
Question: Simple interest on a certain sum of money for 5 years at 8% per annum is half the compound interest on Rs. 8000 for 2 years at 15% per annum. The sum placed on simple interest is
A.Rs.3225
B.Rs.2580
C.Rs.8000
D.Rs.1290
Answer: A.Rs.3225
Explanation: Solution
C.I.	=Rs[8000x(1+15/100)Â²-8000]
Rs.(8000x115/100x115/100-8000)	= Rs.2580.
Sum	=Rs. [1290x100 /5x8]
= Rs.3225.
Answer A
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 35% water?
A.1.3 kg
B.1.5 kg
C.1.7 kg
D.1.9 kg
Answer: A.1.3 kg
Explanation: Explanation :
Flower-nectar contains 50% of non-water part.
In honey this non-water part constitutes 65% (100-35).
Therefore 0.5 X Amount of flower-nectar = 0.65 X Amount of honey = 0.65 X 1 kg
Therefore amount of flower-nectar needed =
(0.65/0.51)kg=1.3 kgs
Answer : A
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced.How many parts the company made?
A.675
B.778
C.654
D.412
Answer: A.675
Explanation: Let x be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:
3⋅25+(x−3)⋅30=75+30(x−3)
Therefore: 25x=75+30(x−3)−100
25x=75+30x−90−100
190−75=30x−25
115=5x
x=23
So the company worked 23 days and they made 23⋅25+100=675 pieces.
correct answer is A)675
Question: A train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. What is the speed of the train is?
A.32
B.45
C.40
D.66
Answer: C.40
Explanation: S = (110 + 280 /38 = 390/38 * 18/5 = 40
Answer: C
Question: In a barrel of juice there is 15 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
A.3:2.
B.2:1.
C.3:1.
D.4:1.
Answer: D.4:1.
Explanation: Juice barrel : beer Barrel = 15:80 i.e. 3:8
price of Juice : Price of Beer = 3 : 4
so for 15/80 costs 3/4, ie 15J / 80B = 3/4.
Solving for J/B, we get 4:1
Answer D.
Question: The compound ratio of 5:6, 3:2 and 4:5?
A.1:1
B.1:87
C.1:6
D.1:9
Answer: A.1:1
Explanation: 5/6 * 3/2 * 4/5 = 1/1
1:1
Answer: A
Question: A type of mixture is prepared by mixing brand at Rs.9 a kg with brand B at Rs.4 a kg.If a mixtue is worth rupees 7 a kg,how many kgs of brand A are needed to make 40 kgs of the mixture?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: 9 4
7
(7-4) 3 2 (9-7)
thus ratio would be 3:2
and thus 3x+2x=40
so x=8 and 3x=24.
thus A type of mixture would be of 24 kg.
ANSWER:D
Question: the cyclist going at a constant rate of 20 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 60 miles per hour. the motor-cyclist stops to wait for the cyclist 10 minutes after passing her, while the cyclist continues to travel at constant rate, how many minutes must the motor-cyclist wait until the cyclist catches up?
A.10
B.20
C.25
D.30
Answer: B.20
Explanation: For the 10 minutes the motor-cyclist continues to overtake the cyclist, she is going at 40 miles per hour faster than the cyclist.
Once the motor-cyclist stops, the cyclist is going at 20 miles per hour while the motor-cyclist is at rest
So the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds. 40/20 * 10 or 20 minutes
Answer is (B)
Question: Divide Rs.32000 in the ratio 3:5?
A.12000, 20000
B.12000, 200098
C.12000, 20007
D.12000, 20006
Answer: A.12000, 20000
Explanation: 3/8 * 32000 = 12000
5/8 * 32000 = 20000
Answer: A
Question: A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is?
A.1/35
B.2/35
C.3/45
D.4/25
Answer: A.1/35
Explanation: Let the fraction be x. Then,
x:1/27 = 3/7 : 5/9
x × 5/9 = 1/27 × 3/7
x × 5/9 = 1/9 × 1/7
x × 5/9 = 1/63
x × 5 = 9/63
5x = 1/7 = 1/35
A)
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.32
B.82
C.83
D.89
Answer: A.32
Explanation: Explanation:
S = (100 + 300)/45 = 400/45 * 18/5 = 32
Answer: Option A
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.287
B.891
C.277
D.666
Answer: B.891
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Question: Which of the below number is the odd one out?
A.36142
B.36119
C.84129
D.50246
Answer: D.50246
Explanation: D
50246
All the others are three digit numbers followed by their square root, eg 361 followed by its square root, 19.
Answer is D