RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: a fruit vender buys 4 varieties of apple costing rs. 140,rs.150,rs.160 and rs.170 per kg in the ratio 2:3:4:1 and mixes all the four varieties and sells at 50% profit. What is the selling price per kg of apple?
A.225
B.228
C.230
D.231
Answer: D.231
Explanation: CP = 140*2+150*3+160*4+170*1=1540
SP = 1.5*1540=2310
Total no.of kgs=2+3+4+1=10
SP per kg=2310/10=231
ANSWER:D
Question: The remainder when 1!+2!+3!...+50! divided by 5! will be
A.21
B.33
C.77
D.927
Answer: B.33
Explanation: The remainder when the terms greater than 5! are divided by 5! becomes 0 so we need to consider the terms upto 4!.
So remainder will be whatever is obtained by dividing 1!+2!+3!+4! with 5!.
So remainder is obtained by dividing (1+2+6+24)= 33 with 5! ( 120)
So remainder is 33.
Answer:B
Question: Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/5, 1/3, and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
A.1/30n
B.(n-1)/15n
C.1/5n
D.(n+2)/3n
Answer: B.(n-1)/15n
Explanation: 1/5 * 1/3 * (1-1/n)
= 1/15 * (n-1)/n
= (n-1)/15n
Answer - B
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 5 years older than B the present age of B is
A.37
B.38
C.39
D.35
Answer: D.35
Explanation: let present age of A be a and B be b
a+10 = 2*(b-10)
=> 2b-a = 30 ......(i)
a = b+5
=>2b-b-5 = 30
b=35
so the present age of b is 35 years
ANSWER:D
Question: Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A.12 sec
B.24 sec
C.48 sec
D.60 sec
Answer: B.24 sec
Explanation: Relative speed =(45 + 30) km/hr
=(75 x(5/18)) m/sec
=(125/6)	m/sec.
We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train.
So, distance covered = Length of the slower train.
Therefore, Distance covered = 500 m.
Therefore Required time =	(500 x6/125)= 24 sec.
Answer :B
Question: Of the three numbers, second number is two times bigger than the first number and is also three times bigger than the third number. If the average of the three numbers is 44, the largest number is
A.24
B.36
C.72
D.108
Answer: A.24
Explanation: Explanation :
Let 3rd number is x. Then, second number = 3x.
First number = 3x / 2
(x + 3x + 3x/2)/3 = 44 or (x+3x+3x/2)=44*3 or 11x/2 = 44*3 or x=24.
Answer : A
Question: Two trains 161 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.6.18
B.7.12
C.7.1
D.8.09
Answer: D.8.09
Explanation: T = (161 + 165)/ (80 + 65) * 18/5
T = 8.09
Answer:D
Question: Twenty four meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
A.2√2
B.2√5
C.6
D.4√2
Answer: C.6
Explanation: Area of Sector, A = x/360*pi*r^2
Circumference of the sector = 24
=> x/360*2*pi*r +2r= 24
=> 2A/r+2r=24
=> A= r12-r^2
= r12-r^2
We will now max using derivations
Max value of A will found at A=0
i.e 12-2r=0
r=6
C
Question: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
A.6 days
B.2 days
C.4 4/5 days
D.3 days
Answer: C.4 4/5 days
Explanation: Work done by A in 2 days = 2/10 = 1/5
Remaining work = 4/5
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days.
Answer: C
Question: Salesperson A's compensation for any week is $350 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
A.$21,000
B.$18,000
C.$15,000
D.$ 14,500
Answer: D.$ 14,500
Explanation: sometime, setting up an equation is an easy way to go with:
350 + 0.06 (x - 1000) = 0.08 x
x = 14,500
Ans : D
Question: After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
A.22 days
B.77 days
C.20 days
D.17 days
Answer: C.20 days
Explanation: 1/3 ---- 6
1 -------? A = 18
R = 1/18 * 60/100 = 1/30
1 ----- 1/30
2/3 ----? => 20 days
Answer:C
Question: In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of :
A.Rs. 3100
B.Rs. 6240
C.Rs. 6500
D.Rs. 9600
Answer: B.Rs. 6240
Explanation: Solution
To obtain Rs. 10, investment = Rs. 96.
To obtain Rs. 650, investment = Rs.(96/10x650) = Rs. 6240.
Answer B
Question: What is the compound interest paid on a sum of Rs.1500 for the period of 2 years at 10% per annum.
A.230
B.175
C.225
D.315
Answer: D.315
Explanation: Solution= Interest % for 1st year= 10
Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100=11
Total % of interest= 10 + 11=21
Total interest = 21 % 1500 = 1500 * (21/100)= 315
Answer D
Question: A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: Explanation:
Suppose B was there in the business for xx months. Then
A: B =76000×12:57000×x
Therefore,
76000×12:57000×x=2:1
76×12:57x=2:1
76×12×1=57x×2
76×4=19x×2
4×4=x×2
x=8
Hence B was there in the business for 8 months, or joined after 12-8 = 4 months
Answer: Option C
Question: The average height of 35 boys in a class was calculated as 184cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
A.178.27 cm
B.182.29 cm
C.978.29 cm
D.178.89 cm
Answer: B.182.29 cm
Explanation: Calculated average height of 35 boys = 184 cm.
Wrong total height of 35 boys = 184 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 184 cm - (166 cm - 106 cm)/35
= 184 cm - 60 /35 cm
= 184 cm - 1.71 cm = 182.29 cm.
Answer: B
Question: The distance between 2 cities A and B is 1000km. A train starts from A at 1 p.m. and travels towards B at 100 km/hr. Another starts from B at 2 p.m. and travels towards A at 150 km/hr. At what time do they meet?
A.11am.
B.6p.m.
C.3pm.
D.2p.m.
Answer: B.6p.m.
Explanation: Suppose they meet x hrs after 1 p.m.
Distance moved by first in x hrs + Distance moved by second in (x-1)hrs = 1000
100x + 150 (x-1) = 1000
x = 4.60 = 5 hrs
They meet at 1+5 = 6 p.m.
Answer is B
Question: in a tennis match the probability for A to win the match is 2/3 and he has to win 3 sets to win the match so what is the probability for A to win the match
A.182/243
B.172/243
C.162/243
D.192/243
Answer: D.192/243
Explanation: The sequence of winning as follows:
Sequence Probability
----------------- -----------
W W L W 8/81
W W L L W 8/243
W W W 8/27
W L L W W 8/243
W L W L W 8/243
W L W W 8/81
L L W W W 8/243
L W L W W 8/243
L W W L W 8/243
L W W W 8/81
Thus, by adding all the above probabilities, we get the probability for A to win the match as : 192/243
ANSWER:D
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10
B.11
C.12
D.10.8
Answer: D.10.8
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer: Option D
Question: For all integers a and b, a%b = (a + b)(a - b). If 7%x = 13, then which of the following could be a value of x?
A.-6
B.-5
C.2
D.3
Answer: A.-6
Explanation: 7%x = (7+x)(7-x)
49-x^2 = 13
x^2 = 36
x=-6,6
Ans: A
Question: The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10000 years is:
A.111 × 1827 miles
B.999× 1238 miles
C.587 x 10^14 miles
D.247 × 1012 miles
Answer: C.587 x 10^14 miles
Explanation: The distance of the light travels in one years is:
5,870,000,000,000 = 587 * 10 ^10
The distance of the light travels in 10000 years is:
= 587 * 10^10 x 10 ^4 = 587 x 10^14 miles
Answer :C
Question: John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
A.$28.44
B.$38.44
C.$48.44
D.$58.44
Answer: A.$28.44
Explanation: let x be the price before the first discount. The price after the first discount is
x - 25%x (price after first discount)
A second discount of 25% of the discounted price after which the final price is 16
(x - 25%x) - 25%(x - 25%x) = 16
Solve for x
x = $28.44
correct answer A
Question: On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. The first box contains $1.5, the second $150, and the third $1500. What is the probability that a contestant will win more than $1500?
A.1/9
B.2/3
C.1/6
D.1/3
Answer: C.1/6
Explanation: Let's call the boxes that contain $1.5, $150, and $1500, respectively, Box A, Box B, Box C. These are opened, respectively, by Key A, Key B, and Key C.
We want to know the probability of winning more than $1500. Notice that if the distribution of keys is:
Box A = Key B
Box B = Key A
Box C = Key C
then the contestant wins exactly $1500, not more than $1500. The only configuration that leads to winning more than $1000 is:
Box A = Key A
Box B = Key B
Box C = Key C
i.e., getting all three keys correct. That's the only way to be more than $1500. So, really, the question can be rephrased: what is the probability of guessing the order of keys so that each key matches the correct box?
Well, for a set of three items, the number of possible permutations is 3! = 3*2*1 = 6.
Of those 6 possible permutations, only one of them leads to all three keys being paired with the right box. So, the answer is
Probability = 1/6
Answer = C
Question: The three competitors in a race have to be randomly chosen from a group of three men and three women. How many different such trios contain at least one woman?
A.13
B.15
C.17
D.19
Answer: D.19
Explanation: The total number of ways to choose three runners 6C3 = 20
The number of trios with only males is 3C3 = 1
The number of trios which include at least one woman is 19.
The answer is D.
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
A.32m
B.38m
C.34m
D.31m
Answer: A.32m
Explanation: Explanation:
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/32 = 7m/s
=>Difference in time taken = 4 seconds
Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres
ANSWER: A
Question: Ratio of two numbers x and y is 3:7. If x is increased by 50% and y is increased by 2 then the new ratio becomes 1:2. What is the ratio 2y:(2x+6)
A.16:15
B.4:5
C.7:12
D.4:9
Answer: C.7:12
Explanation: Let:
x = 3n
y = 7n
4.5n/(7n+5) = 1/2
9n = 7n+2
n = 1
So, x =3; y=7
2y/(2x+6) = 14/12 = 7:6
Answer = C
Question: The difference between a two-digit number and the number after interchanging the position of the two digits is 27. What is the difference between the two digits of the number?
A.4
B.6
C.3
D.Cannot be determined
Answer: C.3
Explanation: Let the two-digit no. be l0x + y.
Then, (10x + y) â€“ (10y + x) = 27
or, 9(x â€“ y) = 27
or, x â€“ y = 3
Answer C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18
B.99
C.77
D.66
Answer: A.18
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer: A
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
A.277
B.266
C.300
D.767
Answer: C.300
Explanation: 1/2:1/3:1/4 = 6:4:3
3/13*1300 = 300
Answer:C
Question: When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?
A. 120
B. 60
C. 30
D. 24
Answer: B. 60
Explanation: n = decimal part of 24.2 * remainder i.e. (12)
Hence 0.2 * n = 12
n = 60.B
Question: There are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. They take 17days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1st day, then how many men are there in the family
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: Let the number of men be m and so the number of women = 15-m
Out of 17 days, men and women work together on 1,4,7,10,13,16th days (Total of 6 days) from the start.
Men work on alternate days, that is 1,3,5,7,9,11,13,15,17th days (Total of 9 days).
Let the total work be 360 units (LCM of 180 and 120).
1 man does 360/120 = 3 units per day
1 woman does 360/180 = 2 units per day
Based on above facts,
Total work by men + women in these 17 days = 360 units
m*9*3 + (15-m)*6*2 = 360,
27m + 180 -12m = 360, Solving m=12.
Num of men = 12
ANSWER:D
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
A.83.33
B.84
C.85
D.76
Answer: A.83.33
Explanation: Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.
ANSWER A
Question: A person purchased a TV set for Rs. 1600 and a DVD player for Rs. 625. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A.1250%
B.35%
C.1300%
D.1200%
Answer: C.1300%
Explanation: The total CP = Rs. 1600 + Rs. 625= Rs. 2225 and SP = Rs. 31150
Profit(%) = (31150 - 2225)/2225* 100 = 1300%
ANSWER:C
Question: A 340-liter solution of Kola is made from 75% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 12 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
A.6%.
B.7.5%.
C.19.6%.
D.10.5%.
Answer: C.19.6%.
Explanation: Denominator:
340+12+3.2+6.8=362
Numerator:
340(1-.75-.05)+3.2
340(0.2)+3.2
68+3.2
71.2
Ratio:
71.2/362=0.196
Answer: C
Question: There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
A.9:6
B.3:2
C.118:126
D.193:122
Answer: D.193:122
Explanation: m=portion of milk in solution
m=(4/7+2/3+3/5)/3➡193/315
315-193=122
122/315=portion of water in solution
ratio of milk to water=193/122
ANSWER:D
Question: If log 27 = 1.437, then the value of log 9 is:
A.0.934
B.0.945
C.0.954
D.0.958
Answer: D.0.958
Explanation: log 27 = 1.437
log (33 ) = 1.437
3 log 3 = 1.437
log 3 = 0.479
log 9 = log(32 ) = 2 log 3 = (2 x 0.479) = 0.958.
Answer: Option D
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
A.12
B.33
C.6
D.4
Answer: D.4
Explanation: 4 years
Answer:D
Question: A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
A.119
B.152
C.160
D.168
Answer: A.119
Explanation: The first digit can be filled in 7 ways
For second digit , it can either be 0 or 1
Case 1 -
If second digit is 1 ,Third digit can take 10 values
number of codes = 7 * 1 * 9 = 63
Case 2 -
If second digit is 0,Third digit can take 8 values ( Third digit can't be zero)
number of codes = 7 * 1 * 8= 56
Total number of codes = 119
Answer A
Question: A envelop weight 8.5 gm,if 850 of these envelop are sent with an advertisement mail. How much wieght?
A.6.6kg
B.7.225kg
C.6.7kg
D.6.9kg
Answer: B.7.225kg
Explanation: 850*8.5
7225.0gm
7.225kg
ANSWER:B
Question: Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
A.1 : 3
B.2 : 3
C.3 : 4
D.4 : 5
Answer: B.2 : 3
Explanation: Solution
Required ratio = 60 : 90 = 2 : 3
Answer B
Question: A tank is filled in 10 hours by three pipes A, B and C. 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.70 hours
B.30 hours
C.35 hours
D.50 hours
Answer: A.70 hours
Explanation: Efficiency of pipes A,B,C =1:2:4
Therefore, in 10 hours, part of the tank filled by A =17
Therefore, pipe A alone requires 10×7=70 hours to fill the tank.
Answer: Option A
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 32, what will be his grade at the end of the third year?
A.44
B.51
C.62
D.75
Answer: B.51
Explanation: Cool question!
There's a lot of information given here, so let's eat slow here.
Joey scores a 32 at the end of his first year. That means that he's currently 16 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).
Now, come next year, or his second year at this psychology school, he's technically 17 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.
Well, his second year is then going to be 17(2) + 16 = 50.
Now let's tackle the main question: what's his grade going to be the third year?
Well, he will be at an age of 18 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (18x2), plus half of his previous year's grade (as calculated for his second year, his grade is 50; therefore, 50/2)
Having said that, the final answer would be 18(2) + 50/2 = 36 + 25 = 51 --> (B)
Question: Bill likes long bike rides. On one ride, he goes biking for seven hours. For the first hour, he bikes
at a speed of 16 miles per hour. For the next two hours, he bikes at a speed of 12 miles per
hour. He remembers biking 112 miles over the seven hours. Compute the average speed, in miles
per hour, Bill biked during the last four hours of his trip.
A.18
B.14
C.22
D.27
Answer: A.18
Explanation: He has to travel 112 - 16 - 12 * 2 = 72 miles in 4 hours
72 / 4 = 18 miles per hour
correct answer A
Question: An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 3 red?
A.1/969
B.2/969
C.4/969
D.5/323
Answer: D.5/323
Explanation: Sample space = no. of ways 4 balls were drawn from urn = 19C4 = 3876
No. ways 1 blue balls and 3 red were drawn from bag = 6C1 * 5C3 = 60
Probability = 60 / 3876 = 5/323
Ans - D
Question: 45% of 750 - 25% of 480 = ?
A.216
B.217.5
C.236.5
D.245
Answer: B.217.5
Explanation: Sol.
Given expression = (45/100 x 750) - (25/100 x 480)
= (337.50 - 120)
= 217.50
Answer B
Question: Sam bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
A.50RW/Q.
B.50QR/W.
C.25RQ/W.
D.25RW/Q.
Answer: D.25RW/Q.
Explanation: Sam bought 2Q steaks for W dollars, so 1 steak = W/2Q
Jerome buys R steaks for a 50% discount: r* (W/4Q)
in cents the answer will be : r* (100 W/4Q)= 25 RW/ Q=D
Question: A man sells a car to his friend at 11% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
A.Rs.25561.80
B.Rs.37500.80
C.Rs.50561.80
D.Rs.60000
Answer: C.Rs.50561.80
Explanation: Explanation:
S.P = Rs.54,000. Gain earned = 20%
C.P = Rs.[100/120Ã—54000]
=Rs. 45000
This is the price the first person sold to the second at at loss of 11%.
Now S.P = Rs.45000 and loss = 11%
C.P. Rs.[100/89Ã—45000]= Rs.50561.80.
Correct Option : C
Question: Louie takes out a three-month loan of $3000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
A.A)333
B.B)383
C.C)402
D.D)1206
Answer: D.D)1206
Explanation: Here's the calculation for that case, assume monthly payment is X.
After 1st month: (3000)(1.1)-X = 3300-X
After 2nd month: (3300-X)(1.1)-X = 3630-2.21X
After 3rd month: (3630-2.21X)(1.1)-X = 3993-3.31X
Now, the amount after the last payment in 3rd month must bring the total to 0. Hence:
3993-3.31X = 0
X = 3993/3.31 = 1206.34
Answer D
Question: If rupee one produces rupees nine over a period of 30 years, find the rate of simple interest?
A.10 %
B.20 %
C.30 %
D.22 %
Answer: C.30 %
Explanation: 9 = (1*30*R)/100
R = 30 %
ANSWER:C
Question: A bag contains 6 white marbles and 6 black marbles. If each of 6 girls and 6 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
A.1/35
B.1/10
C.1/3
D.1/462
Answer: D.1/462
Explanation: first, total ways to select for all boys and girls, i.e 12!/(6!*6!) = 12*11*10*9*8*7/6*5*4*3*2 =924
then there are one two way girls can have all same colors, either white or black.
The number of ways in which 6 girls can select 6 white balls = 6C6 = 1
The number of ways in which 6 girls can select 6 black balls = 6C6 = 1
Therefore, total favorable outcomes/total outcomes = 2/924 = 1/462
D
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
A.4:6
B.4:3
C.4:9
D.4:4
Answer: B.4:3
Explanation: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer:B
Question: Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 18 white marbles. How many red marbles could be in bag A?
A.2
B.3
C.4
D.6
Answer: A.2
Explanation: 6 is the answer.
Bag A-
R:W:B = 2:6:9
Let W in bag A be 6K
Bab B -
R:W = 1:4
Let W in bag B be 4P
W = 18 = 6K+4P
=> K =1, P=3
Total Red's in bag A will be 2K = 2
A
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/2 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
A.(a) 7/16
B.(b) 7/10
C.(c) 10/21
D.(d) 17/35
Answer: B.(b) 7/10
Explanation: This problem is very good example how easy and quick plug-in method might be.
Let the total # of cups be 10.
# of small cups sold 3/5*10=6;
# of large cups sold 10-6=4;
Let the price of small cup be $6, then the price of larges cup would be 7/2*6=$21;
Revenue from small cups: 6*$6=$36;
Revenue from large cups cups: 4*$21=$84;
Fraction of total revenue from large cups: 84/(36+84)=7/10.
Answer: B.
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.14 1/7 days
B.11 1/7 days
C.16 1/7 days
D.17 1/7 days
Answer: D.17 1/7 days
Explanation: D
17 1/7 days
1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg. What might be the weight of the new person?
A.56 kg
B.90 kg
C.86 kg
D.Data inadequate
Answer: C.86 kg
Explanation: C
86 kg
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (66 + 20) kg = 86 kg.