RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
A.32
B.37
C.42
D.43
Answer: C.42
Explanation: The correct answer is D.
A set of 14 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Given 14 different integers, lets say
n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15
Also given median is 25 i.e. n8 = 24
n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15
As each integer is different we need to find the maximum values for all those numbers before the median.
the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..
18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15
Also given the range is 25 i.e. n15 - n1 (18) = 24
The maximum value n15 can have is 24 + n1 (18) = 42
C
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
A.81.6
B.81.9
C.81.2
D.81.3
Answer: A.81.6
Explanation: SI = 40 + 40
CI = 40 + 40 + 1.6 = 81.6
Answer: A
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-half of its original value. How many amperes of electrical current will flow through the wire?
A.1
B.2
C.4
D.8
Answer: D.8
Explanation: Given that, I∝1/R, I*R is a constant value.
I1*R1 = I2*R2
I1*R1 = I2*R1/2
I2 = 2*I1 = 8 amperes
The answer is D.
Question: A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $33 if each film contains 36 photos?
A.2 films and 26 photos
B.5 films and 6 photos
C.5 films and 14 photos
D.6 films and 4 photos
Answer: A.2 films and 26 photos
Explanation: 1st photo = 0.55
Subsequent = 0.55*0.6=0.33
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*2=24.2
33-24.2=8.8
8.8=0.55+0.33x
x=25
33--->2 full films and 1+25=26 photos
Answer: A
Question: What is the sum of all three digit integers formed using the digits 2,3 and 4 (repetition is allowed)
A.4444
B.6100
C.8991
D.7110
Answer: C.8991
Explanation: n = 3*3*3 = 27
= (444 + 222) / 2 = 333
Sum = number of integers x average value
n * = 27 * 333 = 8991
answer = C
Question: If a tap could fill entire tank in 15 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage
A.12hrs
B.24hrs
C.60hrs
D.48hrs
Answer: C.60hrs
Explanation: time take to fill[withleakage] =15hrs so workdone in 1hr=1/15
time tkae to fill[without leakage]=12hrs so workdone in 1hr=1/12
if u subtract both u'll get time taken by leakage to empty...
1/15-1/12=1/60 so 60hrs
ANSWER:C
Question: A train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
A.340 meters
B.360 meters
C.420 meters
D.600 meters
Answer: A.340 meters
Explanation: Speed of train = 72 * (5/18) = 20 m/s
Lets consider the man as a stationery point on the platform.
Crossing the point gives us the length of the train.
Lt = 20 * 18 = 360 m.
Crossing the platform gives us the length of trainlength of platform.
L(t+p) = 20 * 35 = 700 m.
So, length of platform = 700 - 360 = 340 m
IMO, Answer
A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.299 m
B.188 m
C.500 m
D.188 m
Answer: C.500 m
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: C
Question: A train is moving at a speed of 90km/hr and its length is 500m. Find the time taken by it to pass a man standing near the railway line?
A.30sec
B.45sec
C.36sec
D.20sec
Answer: D.20sec
Explanation: Speed of the train = 90*5/18 = 25 m/sec
Distance moved in passing the standing man = 500m
Required time taken = 500/(25) = 20sec
Answer is D
Question: A set of 11 positive integers has an average of 15. Which of the following is the greatest possible value for the median of this set?
A.26
B.30
C.36
D.45
Answer: A.26
Explanation: for the median to be max , we should take all the values below meadian to be the lowest and the remaining values to be the same..
here 1 is the lowest value(positive int) so the lowest 5 int will equal 5..
remaining 6= 15*11-5=160..
therefore each valueof these 6 int =160/6=26
ans A
Question: How many integers between 100 and 500 are there such that their unit digit is even?
A.100
B.120
C.200
D.50
Answer: C.200
Explanation: 400 numbers between - 100 and 400
Out of which half would be even, half odd.
Number of even unit digit number = 200.
correct option is C
Question: Which of the following fractions is not a terminating decimal?
A.2/3
B.3/4
C.4/5
D.7/8
Answer: A.2/3
Explanation: 2/3 = recurring fraction of 0.6666
3/4 = 0.75
4/5 = 0.80
7/8 = 0.875
9/10 = 0.90
Answer : A
Question: In a queue if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?
A.10
B.20
C.30
D.40
Answer: B.20
Explanation: Sol. Required number = 16 *^30 = 20
B
Question: How many different arrangements of A, B, C, D, E AND F are possible where A is not adjacent to B and D is not adjacent to E?
A.96
B.48
C.32
D.144
Answer: D.144
Explanation: So you have A,B,C,D,E,F
five possible ways to arrange it = 6! = 720
AB cannot be adjacents neither DE:
(AB),C,D,E,F = 5! =120 x 2(because it can be (AB) or (BA) ) = 240
A,B,C,(DE) = 5! = 120 x 2 = 240
To get rid of the double counting:
(AB),C,(DE),F = 4! x 4 = 96
(Four possible ways to arrange it)
720 -240-240+96 = 144 possible ways
D
Question: A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?
A.115
B.117
C.116
D.114
Answer: B.117
Explanation: Explanation:
Length = 6 m 24 cm = 624 cm
Width = 4 m 32 cm = 432 cm
HCF of 624 and 432 = 48
Number of square tiles required = (624 x 432)/(48 x 48) = 13 x 9 = 117.
Answer IS B
Question: Due to construction, the speed limit along an 12-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
A. 4
B. 5
C. 6
D. 7
Answer: D. 7
Explanation: 12/35 - 12/55 = 12/5 * ( 11 - 7)/77
= 12/5 * 4/77 * 60 min
= 12 * 12 * 4/77
= 576/77 ~ 7.4
Answer - D
Question: John works full-time, 40 hours a week, selling cars at the local auto mall. His sales quota for a week is $20,000. How much does John have to sell per hour to make his sales quota?
A.200
B.250
C.500
D.1000
Answer: C.500
Explanation: There are 40 hours in a work week. If his quota is $20,000, then we simply divide 40 by $20,000.
20,000 / 40 = 500.
Therefore, John has to sell at least $500 per hour to meet his weekly quota of $20,000.
Thus, the correct answer is C.
Question: Walking 7/8th of its usual speed a man is 6 minutes too late the usual time taken by him to cover that distance is?
A.15min
B.1hr 5 min
C.1hr 8 min
D.42min
Answer: D.42min
Explanation: need speed =7/8 of the used speed
new time= 8/7 of usual time
(8/7 of the usual time)- (usual time)=1/10hr
1/ 7 of the usual time=1/10
usual time =7/10=42 min
Answer(D)
Question: how many 6 digits numbers have all their digits either all odd or all even?
A.27125
B.28125
C.29125
D.26125
Answer: B.28125
Explanation: With all even digits=4*5^5 (Even digits->0,2,4,6,8)
2 _ _ _ _ _ | 4 _ _ _ _ _ | 6 _ _ _ _ _ | 8 _ _ _ _ _ (the gaps can be filled by any of the no.s 0,2,4,6,8)
with all odd digitd=5*5^5
1 _ _ _ _ _| 3 _ _ _ _ _| 5 _ _ _ _ _| 7 _ _ _ _ _ |9 _ _ _ _ _ (The gaps can be filled with any of 1,3,5,7,9)
So, total number of 6digit no. with all digits odd or all even is:
(4*5^5)+(5*5^5)=12500+15625=28125
ANSWER:B
Question: A, B and C entered into a partnership. A invested Rs. 2,560/- and B invested Rs. 1105/-, out of which A got Rs 320. C’s capital was
A.Rs. 2840/-
B.Rs. 4028/-
C.Rs. 4280/-
D.Rs.4820/-
Answer: C.Rs. 4280/-
Explanation: Explanation:
Let A : B : C = 2560 : 2000 : x. Then,
A’s share = [1105 * 2560/(4560 + x)]
Therefore (1105 * 2560)/(4560+x) = 320 => 4560 + x = (1105 * 2560)/320 = 8840
= x = 8840 – 4560 = Rs. 4280/-
Hence, C’s capiatal Rs 4280/-
Answer: Option C
Question: Five times the fifth term of an A.P is equal to six times the sixth term of the A.P, What is the value of the eleventh term?
A.1
B.5
C.0
D.2
Answer: C.0
Explanation: 5( a + 4d ) = 6 ( a + 5d ), 5a + 20d = 6a + 30d, a + 10d = 0,
i.e 11 th = 0
ANSWER:C
Question: How many 1/8s are there in 37 1/2?
A.300
B.400
C.500
D.600
Answer: A.300
Explanation: Required number = (75/2)/(1/8)
= (75/2 x 8/1)
= 300.
ANSWER:A
Question: The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
A.3x + y - 20 = 0
B.y - 3x - 11 = 0
C.-3x + y - 15 = 0
D.-2x - y - 7 = 0
Answer: A.3x + y - 20 = 0
Explanation: The question is made to look difficult though it is pretty simple if you focus on just the line and use process of elimination. (Remember that GMAT does not focus on parabolas so basically, the question should be quite do-able even if someone doesn't know how to handle parabolas.)
The line has a point (-5, y) on it where y is positive (since the point lies in upper left quadrant).
In options B ,C D and E, if you put x = -5, you get -ve value for y co-ordinate. So ignore them.
Answer must be (A)
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 100 years now, the son's age five years back was:
A.45 years.
B.40 years.
C.30 years.
D.35 years.
Answer: A.45 years.
Explanation: Let the son's present age be x years. Then, (100 - x) = x
2x = 100.
x = 50.
Son's age 5 years back (50 - 5) = 45 years.
Answer: Option A
Question: find the number of 6 digit numbers that can be formed using digits 1,2,3,4,5,6 once such that the 6digit number is divisible by its unit digit.
A.646
B.648
C.650
D.652
Answer: B.648
Explanation: There are 6 numbers which can be placed in units digits.
case 1: When the unit digit is 1,2,3,5,6 whatever the other numbers are the 6 digit number will be surely divisible by the unit digit.
Hence the 5 numbers in the units place can be placed in 5 ways and the remaining 5 numbers can be arranged in 5! ways.
5*5!=600 ways
Case 2: If the unit digit is 4, then the tens digit should be 2 or 6, hence 24 or 64 can be arranged in the last two places in 2 ways and the remaining 4 numbers can be arranged in 4 places in 4!ways.
2*4!=48 ways
Total no.of.ways= 600+48 = 648 ways.
ANSWER:B
Question: Health insurance Plan E requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
A.$600
B.$1000
C.$3800
D.$5300
Answer: B.$1000
Explanation: 0.5 * 600 = 300 where E = B.
Question: Select the non termination decimal among the following.
A.5/3
B.3/4
C.4/5
D.7/8
Answer: A.5/3
Explanation: A. Non terminating decimal means that 5/3 = 1.66666 and so on.
Question: 36, 34, 30, 28, 24, 22, 18, ?
A.16
B.14
C.12
D.10
Answer: A.16
Explanation: This is an alternating number subtraction series. The pattern is -2, -4, -2, ....
The answer is A.
Question: Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?
A.3.625
B.3.5
C.4
D.4.5
Answer: B.3.5
Explanation: Set up two R x T =D cases.
1. 1/10 km/ min x T = 2.5
from which T= 25 mins.
We know total journey time now is 45 +25 = 70
The rate is the same ie 1/10km/min.
set up second R x T =D case.
1/10 km/min x 70 = 7 km
Now the total journey would be halved as distance would be same in each direction. 7/2 =3.5
B.
Question: What is the probability that a number selected from numbers 1,2,3,...,30, is prime number, when each of the given numbers is equally likely to be selected?
A.1011
B.1041
C.9018
D.1030
Answer: D.1030
Explanation: X={2,3,5,7,11,13,17,19,23,29}X={2,3,5,7,11,13,17,19,23,29}
n(X)=10,n(S)=30
Hence required probability,
=n(X)n(S)
=1030
D
Question: Find the unit's digit in 264^102 + 264^103
A.zero 0
B.1
C.2
D.4
Answer: A.zero 0
Explanation: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102 +264103264102+264103
= unit's digit in (6+4)=0
A
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 181 books with me to gift her.
Can you calculate, on which day is our anniversary?
A.31
B.18
C.23
D.33
Answer: B.18
Explanation: B
18rd day
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 181
Thus our anniversary falls on the 18rd day of the month.
You can apply other formulas to shorten the process but that is the simplest way to do it.
Question: An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 15 as commission, the cloth sold through him on that day is worth
A.333
B.600
C.887
D.299
Answer: B.600
Explanation: Explanation:
Let the total sale be Rs. x.
Then, 2.5%. of x = 15 <=> (25/10 * 1/100 * x) = 15 <=> x = 600.
Answer: B)
Question: On a partly rainy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
A.1/7
B.1/4
C.1/3
D.1/2
Answer: A.1/7
Explanation: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is 2/14 = 1/7. Answer: A
Question: If a mixture is 2⁄7 alcohol by volume and 3⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
A.3
B.1/3
C.2/3
D.3/5
Answer: C.2/3
Explanation: Should be a sub-600 level Q..
volume= {2/7}/{3/7}=2/3
C
Question: How many four-digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there?
A.168
B.176
C.184
D.192
Answer: D.192
Explanation: The 1st digit can be filled up by the numbers: {1,8,9} = 3 ways
The 2nd digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The 3rd digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The 4th digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The total number of such four-digit numbers is 3*4*4*4 = 192
The answer is D.
Question: A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
A.12 : 3 : 4
B.13 : 2 : 4
C.13: 2 : 1
D.15: 16 : 28
Answer: D.15: 16 : 28
Explanation: Sol.
A : B : C = (50000 * 36) : (80000 * 12 + 40000 * 24)
: (120000 * 24 + 40000 * 12) =180 : 192 : 336 = 15: 16 : 28
Answer D
Question: What is the leastvalue of x. So that 23x57 is divisible by 3?
A.3
B.4
C.1
D.5
Answer: C.1
Explanation: The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 7 = 17 + x
Least value of x may be 1
Therefore 17 + 1 = 18 is divisible by 3.
C
Question: If |4x+14| = 46, what is the sum of all the possible values of x?
A.2
B.-7
C.4
D.-5
Answer: B.-7
Explanation: There will be two cases
4x+14= 46 or 4x+14 = -46
=> x =8 or x= -15
sum of both the values will be -15 +8 = -7
Answer is B
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
A.288
B.270
C.287
D.209
Answer: B.270
Explanation: I = (500*9*6)/100 = 270
Answer: B
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
A.22
B.20
C.99
D.77
Answer: B.20
Explanation: x ------- 9
(x + 10) ---- 6
x * 9 = (x + 10)6
x = 20
Answer:B
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
A.6 km
B.3 km
C.7 km
D.9 km
Answer: B.3 km
Explanation: Let the total distance be 3x km.
Then, x/3 + x/4 + x/5 = 47/60
47x/60 = 47/60 => x = 1.
Total distance = 3 * 1 = 3 km.
Answer:B
Question: Look at this series: -2, 0, 2, 4,... What number should come next?
A.6
B.12
C.8
D.9
Answer: A.6
Explanation: Explanation: This is a simple addition series; each number is added by 2 to the previous number. In other terms to say, the number is added by 2 successively to get the next result.
-4+2 = -2
-2+2 = 0
0+2 = 2
2+2 = 4
4+2 = 6 and so on.
Answer: Option A
Question: Dhoni decides to attend a tennis game with four friends. If the party of five sits together in five consecutive seats, and Dhoni must NOT sit in between two of his friends, how many ways can the five friends be arranged?
A.6
B.48
C.36
D.24
Answer: B.48
Explanation: Dhoni have to sit at either of the ends.
If Dhoni sits on the left most corner, then other 5 friends can be arranged in 4! = 24
David can also sit on the other end, then another 4! ways we can arrange.
So total number of ways = 24+24 = 48
Answer : B
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 20% Vermouth by volume. How many ounces of Gin must he add?
A.n/6
B.n/3
C.3n/5
D.5n/6
Answer: D.5n/6
Explanation: 4 ounces is vermouth
6 ounces of gin...
Total volume 10.
To make vermouth account for 20% of total volume the new volume must be....
x*0.2=4
x=20 ounces....
So now you see that he must add 10 ounces of gin...
Plug in 12 for n in the answer choices and look for answer 10
D
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
A.Rs 45000
B.Rs 50000
C.Rs 70000
D.Rs 75000
Answer: B.Rs 50000
Explanation: Surekha:Rajesh:Jay= (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajesh's share =Rs.(150000×2/6) = Rs.50000.
Answer B
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 5 games?
A.x + 3y/(n + 3)
B.x + y/(n + 3)
C.(x + 3y)/(n + 3)
D.(nx + 3y)/(n + 5)
Answer: D.(nx + 3y)/(n + 5)
Explanation: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 5 games = (nx+3y)/(n+5)
Hence, correct answer will be (D)
Question: How many 4-digit no's that are divisible by 10 can be formed from the no.'s 3, 5, 7, 8, 9, 0 such that no no. repeats?
A.20
B.30
C.60
D.70
Answer: C.60
Explanation: If a number is divisible by 10, its units place should contain a 0.
_ _ _ 0
After 0 is placed in the units place, the tens place can be filled with any of the other 5 digits.
Selecting one digit out of 5 digits can be done in 5C1 = 5 ways.
After filling the tens place, we are left with 4 digits. Selecting 1 digit out of 4 digits can be done in 4C1 = 4 ways.
After filling the hundreds place, the thousands place can be filled in 3C1 = 3 ways.
Therefore, the total combinations possible = 5*4*3 = 60.
C
Question: The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
A.3
B.6
C.9
D.12
Answer: D.12
Explanation: Time taken by Racing magic to make one circle = 120 seconds = 2 mins
Time taken by "Charging bull" to make one circle = 60 mins / 40 = 1.5 mins = 90 seconds
LCM of 90 and 120 seconds = 360 seconds = 6 mins
Time taken for them to meet at the starting point for the second time = 6 mins *2 = 12 mins
Answer D
Question: A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 350 pounds of the mixture ?
A. 250
B. 84
C. 40
D. 28
Answer: A. 250
Explanation: Almonds : Walnuts = 5 : 2
Total mixture has 7 parts
In a 350 pound mixture, Almonds are 5/7 (total mixture)
= 5/7 * 350 = 250 pounds
Answer (A)
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $90 to incur a loss 20%?
A.45
B.36
C.40
D.50
Answer: A.45
Explanation: Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a loss of 20%: $90*(100% + 20%) = $108
Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.40 = 45
Thus, solution A is correct.
Question: Two vessels contains equal number of mixtures milk and water in the ratio 5:2 and 6:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
A.1:3
B.9:13
C.5:11
D.11:3
Answer: D.11:3
Explanation: The ratio of milk and water in the new vessel is = (5/7 + 6/7) : (2/7 + 1/7)
= 11/7 : 3/7 = 11:3
Answer is D
Question: A man can row upstream at 7 kmph and downstream at 10 kmph.Find man's rate in still water and the rate of current?
A.1.2 km/hr
B.1.5 km/hr
C.1.6 km/hr
D.1.8 km/hr
Answer: B.1.5 km/hr
Explanation: Solution
Rate in still water	= 1 / 2 (10 + 7) km/hr
= 8.5 km/hr.
Rate of current	= 1 / 2(10 - 7) km/hr
= 1.5 km/hr.
Answer B
Question: The sum of two number is 25 and their difference is 13. Find their product.
A.104
B.114
C.315
D.325
Answer: B.114
Explanation: EXPLANATION
Let the numbers be x and y.
Then, x + y = 25 and x – y = 13.
4xy = (x + y)2 – (x– y)2
= (25)2 – (13)2
= (625 – 169)
= 456
xy = 114.
Answer B
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
A.10
B.88
C.267
D.28
Answer: A.10
Explanation: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.
x + y = 7 --- (1) ; 2x = 4 --- (2)
solving both the equations, we get y = 5
So, time taken to cover both ways by cycle = 2y hours = 10 hours.
Answer: A
Question: The present worth of a sum due sometimes hence is Rs.5760 and the banker's gain is Rs.10. What is the true discount?
A.Rs. 480
B.Rs. 420
C.Rs. 120
D.Rs. 240
Answer: D.Rs. 240
Explanation: Explanation:
TD = √PW × BG=√5760×10=√57600 = Rs. 240
Answer: Option D