RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: . Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A.17 1/8
B.17 1/1
C.17 1/7
D.17 1/9
Answer: C.17 1/7
Explanation: Explanation:
1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7
Answer:C
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
A.10 hours
B.13 hours
C.17 hours
D.21 hours
Answer: D.21 hours
Explanation: Explanation:
We can get the answer by subtrating work done by leak in one hour by subtraction of filling for 1 hour without leak and with leak, as
Work done for 1 hour without leak = 1/3
Work done with leak =
3 1/2=7/2
Work done with leak in 1 hr= 2/7
Work done by leak in 1 hr =1/3−2/7=1/21
So tank will be empty by the leak in 21 hours.
Option D
Question: Two numbers N and 16 have LCM = 52 and GCF = 8. Find N.
A.35
B.26
C.76
D.87
Answer: B.26
Explanation: The product of two integers is equal to the product of their LCM and GCF. Hence.
16* N = 52 * 8
N = 52*8 / 16 = 26 correct answer B
Question: Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for q dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
A.x/(y - q)
B.x/(q - y)
C.x
D.x/q
Answer: B.x/(q - y)
Explanation: Two ways...
1) let t be the total number, so cost = t*y+x and selling price=t*q..
No profit no loss....t*y+x=t*q.....T=x/(q-y)...
B
Question: A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was.
A.Rs 14000
B.Rs 15000
C.Rs 16000
D.Rs 17000
Answer: B.Rs 15000
Explanation: Explanation:
S.I.=P∗R∗T/100
=>P=S.I.∗100/R∗T
=>P=5400∗100/12∗3=Rs15000
Option B
Question: If the area of a circle is 100pi square feet, find its circumference.
A.65 pi feet
B.20 pi feet
C.42 pi feet
D.18 pi feet
Answer: B.20 pi feet
Explanation: The area is given by pi * r * r. Hence
pi * r *r = 100 pi
r *r = 100 ; hence r = 10 feet
The circumference is given by
2 *pi *r = 2 * pi * 10 = 20 pi feet
correct answer B
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 9 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 9 questions did Zachary answer correctly?
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: i got two equations:
3x-2y=25
x+y=9
3x-2(9-x)=25
3x-18+2x=25
5x=43
x=8.6 or between 8 and 9. (ANS C)
Question: Let Q represent a set of three distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A.1
B.2
C.3
D.5
Answer: B.2
Explanation: Q = p1+p2+p3= even (and all primes are distinct)
if the least prime is 2 then we have sum of Q = even.
Ans. B. 2
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 2 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
A.R-4
B.R/(R+4)
C.R/(R-4)
D.8/(R-8)
Answer: C.R/(R-4)
Explanation: Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex.
In T hours Alex will cover 4T miles;
Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1);
We want the distance covered by Brenda to be twice as much as that of Alex: 2*2T=R(T-1) --> 4T=RT-R --> T=R/(R-4).
Answer: C.
Question: 24 persons can manufacture 1000 soaps in 15 days, working 7 hours a day. In how many days will 18 persons, working 5 hours a day, manufacture the same 1000 soaps?
A.30
B.28
C.35
D.14
Answer: B.28
Explanation: Explanation :
Solution: Let the required number of days be x.
Less persons, more days (Indirect proportion)
more working hrs per day, less days (indirect proportion)
persons 18 : 24
} : : 15 : x.
Working hrs per day, less days 5 : 7
.'. 18*5*x = 24*7*15 <=> x = 28.
Answer : B
Question: The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
A.30 pi cc
B.45 pi cc
C.150 pi cc
D.180 pi cc
Answer: B.45 pi cc
Explanation: r = 3 h = 5
Ï€ * 3 * 3 * 5 = 45 Ï€ cc
ANSWER B
Question: Andrew went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19
B.19.7
C.21
D.23
Answer: B.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
B)
Question: Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?
A.0.5
B.2
C.3
D.6
Answer: A.0.5
Explanation: A = P + I = 62500 + 5100 = 67600
67600 = 62500(1 + 16/4*100)^(4t)
(676/625) = (104/100)^(4t)
(26/25)^2 = (26/25)^4t
t = 1/2 yrs
Answer: A
Question: complete the numerical series with the correct number
5+3+1=15517
9+2+2=181834
5+6+4=302044
5+4+2=201026
9+3+5= ?
A.468645
B.454586
C.274569
D.454386
Answer: C.274569
Explanation: 9+3+5= 274569
Answer : C
Question: If 4^k = 5, then 4^(2k+2) =
A.400
B.540
C.100
D.830
Answer: A.400
Explanation: 4^k=5
4^2k=5^2
4^2k=25
4^(2k+2)
=4^2k*4^2
=25*16
=400
Answer: A
Question: Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
A.6, 9
B.10, 5
C.7, 8
D.9, 6
Answer: B.10, 5
Explanation: Explanation:
x + y = 15
2x – 3y = 5
x = 10 y = 5
ANSWER IS B
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. The length of the faster train is
A.80 m
B.100 m
C.120 m
D.135 m
Answer: D.135 m
Explanation: Solution
Relative Speed	= (36 + 45) km/hr
= (81 x 5/18) m/sec
= (45/2) m/sec
Length of the train	= (45 / 2 x 6) m
= 135 m.
Answer D
Question: A number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
A.160
B.180
C.200
D.240
Answer: D.240
Explanation: Answer
Let the number be N.
Then, (N/5) + 6 = (N/4) - 6
â‡’ (N/4) - (N/5) = 12
â‡’ (5N - 4N)/20 = 12
âˆ´ N = 240
Option: D
Question: In the coordinate plane, one of the vertices of a square is the point (-6, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
A.100
B.169
C.324
D.196
Answer: C.324
Explanation: One point (-6-4), Intersection (3,2) so the distance from the first point -6-3=-9 is the midpoint of the square --> whole side 18, 18*18=324
C
Question: There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 440,000 copies of the novel were sold in all, how many paperback copies were sold?
A.45,000
B.360,000
C.364,500
D.363,600
Answer: D.363,600
Explanation: Say x was the # of hardback copies sold from the time the first paperback copy was sold.
Then the total # of paperback copies sold was 9x;
Hence the total # of copies sold was (hardback)+(paperback)=(36+x)+(9x)=440--> x=40.4.
So, the total # of paperback copies sold was 9x=9*40.4=363.6 or 363,600.
Answer: D.
Question: The speed of a boat in upstream is 35 kmph and the speed of the boat downstream is 50 kmph. Find the speed of the boat in still water and the speed of the stream?
A.5.5 kmph
B.8.5 kmph
C.7.15 kmph
D.7.5 kmph
Answer: D.7.5 kmph
Explanation: Speed of the boat in still water = (35+50)/2 = 42.5 kmph. Speed of the stream
= (50-35)/2
= 7.5 kmph.
Answer:D
Question: A city with a population of 160,080 is to be divided into 8 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
A.18,200
B.18,300
C.18,400
D.18,500
Answer: C.18,400
Explanation: The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district.
Let p be the population of the least populated district.
Then 160,080 = p + 7(1.1)p
8.7p=160,080
p = 18,400
The answer is C.
Question: If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A.xy
B.lw – yx
C.ly + wx – xy
D.lx + wy – xy
Answer: C.ly + wx – xy
Explanation: Initial Area = l*w
Area after cutting rectangle = (l-x)*(w-y)
Area removed = Initial Area - Final Area = l*w - (l-x)*(w-y) = l*w - [l*w-x*w-l*y+x*y) = x*w+l*y-x*y
Answer: Option C
Question: A Cuban cigar would cost 3 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
A.19.7$.
B.23$.
C.14.7$.
D.35$.
Answer: C.14.7$.
Explanation: The three cigars together cost 74.7 dollars. If each cost the same , they would have cost a little less than 25 dollars each.
From the given data we know French cigar < Cuban cigar < Arabic cigar
and each is more expensive 1.5 times. Therefore eliminate options A,D,E straightaway . Since French cigar is at least 1.5 times cheaper we know B cannot be the answer.
Therefore C is the answer.
Question: If a computer program generates three-digit odd numbers using the numbers 5, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
A.1/1
B.1/2
C.1/3
D.1/6
Answer: C.1/3
Explanation: C
Question: From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
A.120
B.135
C.185
D.210
Answer: C.185
Explanation: The committee of 4 persons is to be so formed that it has at least 2 men. The different ways that we can choose to form such a committee are:
(i) 2m. 2w in 6C2 x 4 C1=6X5 - 2X1 X 3X3 2X1 =n an (ii) 3m. 1w in 6C3 x 4C1 =6X5X4 3X2X1 X4 _n - a ''''
(iii) 4m in 6C4 -2x1 = 15 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least 2 men. = 90 + 18 + 15 = 185
C
Question: In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
A.9/10
B.16/20
C.2/5
D.3/5
Answer: A.9/10
Explanation: P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10.
Answer: A.
Question: What will be the cost of house to paint which area equal to 484 sq ft, if the price per foot of building is Rs. 20
A.1800
B.1760
C.1400
D.2600
Answer: B.1760
Explanation: Let the side of the square plot be a ft.
a2 = 484 => a = 22
Length of the fence = Perimeter of the plot = 4a = 88 ft.
Cost of building the fence = 88 * 20
= Rs.1760.
Answer: B
Question: In 1990 a total of j earthquakes occurred worldwide, some but not all of which occurred in Asia. If c of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
A.j/c
B.c/j
C.c/(j-c)
D.j/(j-c)
Answer: C.c/(j-c)
Explanation: We're given a couple of facts to work with:
1) There were a total of j earthquakes
2) Of those earthquakes, c of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
j = 5 total earthquakes
c = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for j and c and find the match...
Answer A: j/c = 5/2 NOT a match
Answer B: c/j = 2/5 NOT a match
Answer C: c/(j-c) = 2/(5-2) = 2/3 This IS a match
Answer D: j/(j-c) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (c/j) = 1-2/5 = 3/5 NOT a match
C
Question: Walking at the rate of 5kmph a man cover certain distance in 5hr. Running at a speed of 15 kmph the man will cover the same distance in.
A.12 min
B.36 min
C.40 min
D.48 min
Answer: B.36 min
Explanation: Distance = Speed * time
5*5 = 25km
New Speed = 15 kmph
Therefore time = 25/15 = 5/3 =36min
Answer : B
Question: There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 78. How tall is the fourth person?
A.82
B.84
C.86
D.88
Answer: B.84
Explanation: Let x be the height of the first person.
Then the heights are x, x+2, x+4, and x+10.
4x+16 = 4(78) = 312
x = 74 and the fourth person has a height of 74+10 = 84 inches
The answer is B.
Question: If a < b < c , which of the following must be true?
(I) a < b^2
(II) a < c - b
(III) a^2 < b^2 < c^2
A.None
B.I only
C.II only
D.III only
Answer: A.None
Explanation: (I) a < b^2. Not necessarily true fractions: try a=1/3 and b=1/2.
(II) a < c-b . Not necessarily true: try a=1, b=2, and c=5/2.
(III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.
None of the options must be true.
Answer: A.
Question: How long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length?
A.5.8 sec
B.8.4 sec
C.12.4 sec
D.6.8 sec
Answer: B.8.4 sec
Explanation: B
16.8 sec
D = 60 + 80 = 140 m
S = 60 * 5/18 = 50/3
T = 140 * 3/50 = 8.4 sec
Answer is B
Question: Five pieces of wood have an average length of 132cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
A.a) 90
B.b) 100
C.c) 110
D.d) 120
Answer: D.d) 120
Explanation: D. 120
sum of all lengths of all 5 pieces of wood = 132 * 5 = 660
3rd piece (sorted in increasing length) length = 140 (median)
for sum of first 2 wood length to become max, last two should be least.
let 4th, 5th wood also have length 140 each.
total of last 3 = 140 * 3 = 420
sum of first 2 = 660 - 420 = 240
each of these 2 will have length 240/2 = 120
Answer D
Question: The measurement of a rectangular box with lid is 25cmx12cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
A.288
B.48
C.72
D.864
Answer: A.288
Explanation: d=12, r=6;
Volume of the largest sphere= 4/3πr3
= 4/3 *π*6*6*6= 288πcm3 ANSWER:A
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 4 hours and 49 hours respectively. The ratio of their speeds is:
A.2 : 3
B.4 : 3
C.6 : 7
D.7 : 2
Answer: D.7 : 2
Explanation: Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = âˆšb : âˆša = âˆš49 : âˆš4 = 7 : 2.
Answer D
Question: The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
A.239
B.277
C.235
D.88
Answer: C.235
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (140 + X)/30
= 25/2 ==> 2(140 + X) = 750 ==> X = 235 m.
Answer: C
Question: Average of 9 results is 111. If the average of first four results is 106 and average of last four results is 112 Then find the fifth result?
A.121
B.131
C.115
D.127
Answer: D.127
Explanation: Option 'D'
Question: If a and b are both odd numbers, which of the following is an odd number?
A.a + b
B.b+a
C.ab
D.ab + 1
Answer: C.ab
Explanation: Sol.
Product of two odd numbers is always odd.
Answer C
Question: 7 + 3 x 14 + 6 x 7^2 + 6 x 7^3 + 6 x 7^4 + 6 x 7^5 + 6 x 7^6 + 6 x 7^7 =
A. 7^21
B. 7^14
C. 7^10
D. 7^8
Answer: D. 7^8
Explanation: Let's see that 7 + 3 x 14 is 49 or 7^2, then: 7^2 + 6 x 7^2 becomes 7 x 7^2 that is 7^3. So we follow with the next element: 7^3 + 6 x 7^3 is equal to 7 x 7^3 that is 7^4. Then is assumed right before 6 x 7^7: 7^7 + 6 x 7^7 becomes 7 x 7^7 that is 7^8. Thus, the correct answer is the option D, 7^8.
Question: Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
A.40 Pi
B.19 Pi
C.12 Pi
D.46 Pi
Answer: C.12 Pi
Explanation: Rewrite equations of circles in standard form. Hence equation x2 + y2 -2x + 4y + 1 = 0 may be written as
(x - 1)2 + (y + 2) 2 = 4 = 22
and equation x2 + y2 -2x + 4y - 11 = 0 as
(x - 1)2 + (y + 2) 2 = 16 = 42
Knowing the radii, the area of the ring is Pi (4)2 - Pi (2)2 = 12 Pi
correct answer C
Question: If 5 men and 2 boys working together, can do three times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.3:2
B.2:1
C.3:3
D.1:2
Answer: D.1:2
Explanation: 5M + 2B = 3(1M + 1B)
5M + 2B = 3M + 3B
2M = 1B
The required ratio of work done by a man and a boy = 1:2
D
Question: When integer P is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3P
II. 2P
III. 4P + 10
IV. 5P
V .6P
A.I
B.II
C.III
D.IV
Answer: D.IV
Explanation: D
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
A.33 1/8 %
B.33 7/3 %
C.33 1/3 %
D.33 5/8 %
Answer: C.33 1/3 %
Explanation: The total number of mangoes bought by the shopkeeper be 12.
If he buys 4 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 4
Profit = SP - CP = 4 - 3 = 1
Profit Percent = 1/3 * 100 = 33 1/3 %
Answer: C
Question: 3*13+3*14+3*17+11 = ?
A.125
B.126
C.130
D.143
Answer: D.143
Explanation: 3*13+3*14+3*17+11 = 39 + 42 + 51 + 11 = 143
The answer is D.
Question: What flavor of Network Address Translation can be used to have one IP address allow many users to connect to the global Internet?
A.NAT
B.Static
C.PAT
D.Dynamic
Answer: D.Dynamic
Explanation: Explanation:
Port Address Translation (PAT) allows a one-to-many approach to network address translation.
Answer: Option D
Question: Manoj borrowed Rs.4050 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
A.22877
B.5755
C.2778
D.6787
Answer: B.5755
Explanation: Let the sum lent by Manoj to Ramu be Rs.P.
Amount gained by Manoj = P. 3.9 /100 = 4050.3.6/100 = Rs.824.85
27P = 72900 = 82485
P = (82485 + 72900)/27 = 3055 + 2700 = Rs.5755
Answer: B
Question: Murali travelled from city A to city B at a speed of 30 kmph and from city B to city C at 70 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3
A.kmph
B.kmph
C.kmph
D.kmph
Answer: B.kmph
Explanation: Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/30 + (3x)/70
= (14x + 9x)/210 = 23x/210
= (2x + 3x)/(23x/210) = 45.6 kmph.
Answer: B
Question: If x is 12 percent greater than 80, then x =
A.89.6
B.91.0
C.88.0
D.70.9
Answer: A.89.6
Explanation: 12% of 80 = (80*0.12) = 9.6
12% greater than 80 = 80 + 9.6 = 89.6
Answer is clearly A.
Question: 10 men do a work in 10days. How many men are needed to finish the work in 4days?
A.25
B.20
C.30
D.10
Answer: A.25
Explanation: men required to finish the work in 4days = 10*10/4 = 25
Answer is A
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
A.1390
B.2887
C.2778
D.2779
Answer: A.1390
Explanation: 2(25 * 15 + 15 * 8 + 25 * 8)
2(375 + 120 + 200) => 1390
Answer:A
Question: A rectangular floor is covered by a rug except for a strip Y meters wide along each of the four edge. If the floor is P meters by Q meters, what is the area of the rug in square meters?
A.4(P-2Y)(Q-2Y)
B.3(P-2Y)(Q-2Y)
C.(P-2Y)(Q-2Y)
D.(P-2Y)(Q-2Y)/3
Answer: C.(P-2Y)(Q-2Y)
Explanation: A strip of Y meters is covering the inner rectangular rug for all 4 sides.
Length of inner rug = P-(2Y)
breadth of inner rug= Q-(2Y)
Area of Rug= (P-2Y)(Q-2Y)
Ânswer: C
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
A.42 6/7%
B.42 9/7%
C.42 9/1%
D.32 6/7%
Answer: D.32 6/7%
Explanation: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer: D
Question: The basic one-way air fare for a child aged between 3 and 10 years costs half the regular fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
A.$111
B.$52.5
C.$210
D.$58.5
Answer: C.$210
Explanation: Explanatory Answer
Step 1: Assign variables and frame equations
Let the basic fare for the child be $X.
Basic one-way air fare of a child costs half the regular fare for an adult
Therefore, the basic fare for an adult = 2(basic one-way airfare for a child) = $2X.
Reservation charge is the same on the child's ticket as on the adult's ticket.
Let the reservation charge per ticket be $Y
Hence, an adult ticket will cost (Basic fare + Reservation charges) = 2X + Y = $216 ..... (1)
And ticket for an adult and a child will cost (2X + Y) + (X + Y) = 3X + 2Y = $327 .... (2)
Step 2: Solve the equations and determine basic fare for an adult
Multiply equation (1) by 2: 4X + 2Y = 432 .... (3)
Subtract equation (2) from equation (3): (4X + 2Y = 432) - (3X + 2Y = 327)
∴ X = $105.
The basic fare of an adult ticket = 2X = 2*105 = $210
Answer C
Question: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
A.3
B.2
C.4
D.1
Answer: B.2
Explanation: Present age of 5 members = 5 x 17 + 3 x 5 = 100 years
Also, present ages of 5 members + Age of the baby = 6 x 17 = 102 years
Age of the baby = 102 – 100 = 2 years.
ANSWER:B
Question: Speed of a boat in still water is 5 km/hr and speed of the stream is 2 kmph. A man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is.
A.160 hr
B.200 hr
C.120 hr
D.140 hr
Answer: B.200 hr
Explanation: Explanation:
Speed up stream = 5 - 2 = 3 km/hr
Speed down stream = 5 + 2 = 7 km/hr
Total time taken = 252/3 + 252/7 = 84 + 36 = 120 hr
Answer: Option B
Question: How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
A.482
B.297
C.278
D.298
Answer: A.482
Explanation: 20000(11/10)4 - 20000(6/5)2
= 482
Answer:A