RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the circumference of the tire?
A.2
B.8
C.7
D.3
Answer: D.3
Explanation: 400 rev / minute = 400 * 60 rev / 60 minutes
= 24,000 rev / hour
24,000 * C = 72,000 m : C is the circumference
C = 3 meters
Question: The food in a camp lasts for 40 men for 45 days. If ten more men join, how many days will the food last?
A.32days
B.34days
C.36days
D.38days
Answer: C.36days
Explanation: one man can consume the same food in 40*45 = 1800 days.
10 more men join, the total number of men = 50
The number of days the food will last = 1800/50 = 36 days.
Answer: C
Question: After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 3940 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
A.2160
B.2350
C.2000
D.2300
Answer: A.2160
Explanation: Explanation :
Total Exp = 5000+1500+4500+2500+2000+3940 = 19440
Exp in % = 100-10 = 90%, 19440 = 90%
Saving = 10 % = 19440 X 10/90 = Rs. 2160
Answer : A
Question: A train passes a station platform in 33 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
A.228
B.240
C.887
D.195
Answer: D.195
Explanation: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 20 = 300 m.
Let the length of the platform be x m . Then,
(x + 300)/33 = 15 => x = 195 m.
Answer: D
Question: A tourist purchased a total of $1,600 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
A.$1,430
B.$1,370
C.$1,290
D.$1,270
Answer: B.$1,370
Explanation: since total cashed checks = 7 ans $10 check cashed = one less or more than $50 checks
Therefore either $10 checks = 3 and $50 checks = 4 OR $10 checks = 4 and $50 checks = 3
using this information 1st option gives us the maximum cashed value therefore if we negate this value from total value we will get minimum value of which checks have lost
Therfore 1600 - 230 = 1370 hence answer is B
Question: A data set with a mean of 60 has a standard deviation of 1.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
A.53
B.56
C.58
D.63.5
Answer: C.58
Explanation: One standard deviation of the mean is from{mean}-{deviation}=60-1.5=58.5 to{mean}+{deviation}=60+1.5=61.5. The smallest number within this range from the options is 58.
Answer: C.
Hope this helps.
Question: The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the W odds that it is an ace?
A.1/52
B.1/26
C.1/13
D.1/4
Answer: C.1/13
Explanation: The question should ask about the probability not the odds.
There are 13 spades, the probability W that the spade we already have is an ace is therefore 1/13.
Answer: C.
Question: 2 numbers are there in the ratio 1:3. If 4 is to be added to both of the numbers the ratio will become 4:9 then find initial numbers?
A.6,7
B.6.7,20.1
C.5.6,13.7
D.12.6,15.3
Answer: B.6.7,20.1
Explanation: Let 2 numbers are x,3x
after adding 3 on both numbers x+4, 3x+4
x+4:3x+4 = 4:9
9(x+4) = 4(3x+4)
x = 6.7
Intial numbers = 3x,4x = 6.7,20.1
Answer is B
Question: Monisha are used to buy a video game for $40. Lately, these games were subject to 20% price increase. What is the new price of the video game?
A.$46
B.$47
C.$48
D.$49
Answer: C.$48
Explanation: Solution:
The price increase is 40 x 20/100 = $8
The new price is 40 + 8 = $48
Answer C
Question: A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 4 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
A.2
B.9
C.15
D.18
Answer: D.18
Explanation: Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes.
Then under plan A the cost would be $0.6+0.06(t-4) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-4)=0.08t --> 60+6(t-4)=8t --> t=18.
Answer: D.
Question: There are two sections P and Q of a class, consisting of 144 and 176 students respectively. If the average weight of sections A is 160 kg and that of sections Q is 140 kg. Find the average weight of the whole class
A.147.5
B.148.0
C.148.5
D.149.0
Answer: D.149.0
Explanation: Solution
Total weight of(144+176)Students	= (144x160+176x140)Kg
= 47680 kg.
Average weight of the whole class	= (47680 / 320)
= 149.00.
Answer D
Question: Pipe P can drain the liquid from a tank in 2/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
A.3/13
B.8/23
C.3/8
D.17/29
Answer: A.3/13
Explanation: Suppose Q can drain in 1 hr. So, rQ = 1/1 = 1
So, rP = 1/[(2/4)rQ] = 4/2
Also, rP = rR/(2/3) => 2 = rR/(2/3) => rR = 4/3
Let H is the time it takes to drain by running all 3 pipes simultaneously
So combined rate = rC = 1/H = 1 + 2 + 4/3 = 13/3 = 1/(3/13)
Thus running simultaneously, Pipe Q will drain 3/13 of the liquid.
Thus answer = A.
Question: On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
A.10200
B.10000
C.9500
D.9000
Answer: B.10000
Explanation: Explanation :
=> One-legged =5% of 10000=500
=> Remaining=10000-500=9500
=> Barefooted=9500/2=4750
=> Remaining people= 9500-4750=4750
=> Hence required number of shoes= 4750*2+500*1=10000
Hence (B) is the correct answer.
Answer : B
Question: A can do a piece of work in 13 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
A.15 10/11 days
B.10 10/11 days
C.12 10/11 days
D.19 10/11 days
Answer: B.10 10/11 days
Explanation: B
(x â€“ 5)/13 + x/20 = 1
x = 10 10/11 days
Question: If the price of petrol increases by 25% and Kevin intends to spend only 15% more on petrol. By how much percent should he reduces the quantity of petrol that he buys?
A.8
B.9
C.7
D.2
Answer: A.8
Explanation: Explanation:
Let Petrol Price 100 per Liter and Quantity he purchases equals to 100 Liters
Then total expenditure = 100 × 100 = 10000
Petrol Price is increased by 25%. So new price = 125 per litre
And he increases the expenditure by 15%. So expenditure limit = 11500
Now his quantity = 11500/125 = 92 liters
So the quantity is reduced by 8%
Answer: A
Question: A train 360 m long is running at a speed of 60 km/hr. In what time will it pass a bridge 140 m long?
A.40 sec
B.30 sec
C.26 sec
D.27 sec
Answer: B.30 sec
Explanation: Speed = 60 * 5/18 = 50/3 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 3/50
= 30 sec
Answer: B
Question: what is average of 2000 terms of the given series
1,-3,2,-4,3,-5,4,....
A.1
B.0.5
C.-0.5
D.-1
Answer: D.-1
Explanation: 1-3=-2
2-4=-2
3-5=-2...
we get 1000 -2s for 2000 numbers.
for 2000 terms the average= -2(1000)/2000
= -1
ANSWER:D
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/5 % his yearly income diminishes by Rs.61.50. his capital is
A.153.75
B.37.78
C.246.0
D.27.88
Answer: A.153.75
Explanation: Explanation:
Capital = Rs.x , then
2/5x = 153.75
Answer: A) Rs.153.75
Question: A clock shows the time as 9 a.m. If the minute hand gains 7 minutes every hour, how many minutes will the clock gain by 6 p.m.?
A.30 min
B.35 min
C.63 min
D.50 min
Answer: C.63 min
Explanation: there are 9 hours in between 9 a.m. to 6 p.m.
9*7=63 minutes.
ANSWER:C
Question: Which of the following is the smallest multiple of 3!-4?
A.4!-22
B.4!-10
C.3!+1
D.4!+20
Answer: A.4!-22
Explanation: The expression 3!-4 can be expanded out to (3*2)-4
Therefore (3*2)-4=6-4=2
Looking at the options the one that gives the lowest multiple of 2 is option A)
Question: What quantity of water should taken out to concentrate 15 liters of 40% acidic liquid to 60% acidic liquid?
A.5liters
B.10liters
C.15liters
D.8liters
Answer: A.5liters
Explanation: Required answer is = 15(60-40)/60 = 5 liters
Answer is A
Question: the ratio of water and milk is 2:3.after adding 4litre milk ratio become 1:2? calculate amount of water?
A.6
B.8
C.5
D.10
Answer: B.8
Explanation: water is 2x and milk is 3x.
2x/3x+4=1/2,4x=3x+4,x=4
amount of water=2x=8 litre
answer B
Question: What day of the week will 22 Apr 2222 be?
A.Monday
B.Tuesday
C.Sunday
D.Thursday
Answer: A.Monday
Explanation: Explanation :
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2200
= Number of odd days in 200 years
= 5 x 2 = 10 = 3
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 2201-2221
= 16 normal years + 5 leap years
= 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days
Number of days from 1-Jan-2222 to 22 Apr 2222
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112
112 days = 0 odd day
Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day
1 odd days = Monday
Hence 22 Apr 2222 is Monday. Answer : Option A
Question: Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 9%. If Ron imported a $18,000 imported car and ended up paying $1950 in taxes, what is the first tier's price level?
A.$11500
B.$11000
C.$12000
D.$12100
Answer: B.$11000
Explanation: Let T be the tier price, P be total price = 18000
Per the given conditions:
0.12T + 0.09(P-T) = 1950
0.12T+0.09*18000-0.09T =1950
0.03T +1620 = 1950
0.03T = 1950-1620 = 330
T = 330/0.03 =11000
Answer B
Question: The value of (9x10^7)(3x10^8) is closest to which of the following?
A.10^11
B.10^12
C.10^13
D.10^17
Answer: D.10^17
Explanation: multiplying these we get,
27 x 10^7 x 10^8
= 2.7 x 10^16
which is closer to 10^17
Answer: D
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 6 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
A.24
B.28
C.32
D.36
Answer: D.36
Explanation: The ratio is 4:5 = 8:10, so there are 8k males and 10k females.
If 6 males left, the ratio would be 1:2 = 5:10, so there would be 5k males and 10k females.
8k-5k = 6
k = 2
8k + 10k = 16 + 20 = 36
The answer is D.
Question: What will be the cost of building a fence around a square plot with area equal to 81 sq ft, if the price per foot of building the fence is Rs. 58?
A.3944
B.2287
C.2977
D.2088
Answer: D.2088
Explanation: Let the side of the square plot be a ft.
a2 = 81=> a = 9
Length of the fence = Perimeter of the plot = 4a = 36ft.
Cost of building the fence = 36 * 58 = Rs. 2088.
Answer:D
Question: The average age of 29 students in a group is 15 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
A.31
B.36
C.29
D.53
Answer: C.29
Explanation: age of the teacher=(29*16-29*15)
=29 years.
ANSWER:C
Question: If 0.60 : x : : 6 : 2, then x is equal to
A.0.2
B.0.5
C.2.5
D.1.8
Answer: A.0.2
Explanation: Sol.
(x×6) = (0.60×2) ⇒ x = 0.60/6 = 0.2.
Answer A
Question: Of the mutual funds on a “select list,” 1/2 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?
A.500
B.750
C.1,000
D.1,200
Answer: C.1,000
Explanation: C
Fraction of 5- and 4-star funds: 1/2 + (2/5)*(1/2) = 1/2 + 1/5 = 7/10
Fraction of 3-star funds = 1 - 7/10 = 3/10
(3/10)*Total = 300
Total = 1000
Question: What will come in place of the x in the following number series? 12, 26, 54, 110, 222, x
A.444
B.446
C.448
D.452
Answer: B.446
Explanation: 1212 × 2 + 2 = 2626 × 2 + 2 = 5454 × 2 + 2 = 110110 × 2 + 2 = 222222 × 2 + 2 = 446 B
Question: What approximate value should come in place of the question mark (?) in the following equation?
248.251 ÷ 12.62 × 20.52 = ?
A.400
B.450
C.600
D.350
Answer: A.400
Explanation: 248.251 ÷ 12.62 × 20.52 = ?
or,? ≈ 240 ÷ 12 × 20 = 20 × 20 = 400
Answer A
Question: A spike is hammered into a train rail. You are standing at the other end of the rail. You hear the sound of the hammer strike both through the air and through the rail itself. These sounds arrive at your point six seconds apart. You know that sound travels through air at 1100 feet per second and through steel at 16,500 feet per second. How far away is that spike?
A.7070.25
B.7080.25
C.6070.25
D.8070.25
Answer: A.7070.25
Explanation: d = 1100(t + 6 ), d = 16500t, so 1100(t + 6) = 16500t
1100t + 6600 = 16500t, 1100t - 1100t + 6600 = 16500t-1100t, 6600 = 15400t
6600/15400 = 15400t/15400, 0.4285 = t, 1100(.4285 + 6) = 7071.35, 16500(.4285) = 7070.25
ANSWER:A
Question: In a class of 100 students, there are 50 who play soccer, 45 who play
basketball, and 50 who play volleyball. Only 15 of these students play all
three sports. Everyone plays at least one of these sports. How many of
the students play exactly two of these sports?
A.15
B.20
C.25
D.30
Answer: A.15
Explanation: Let S1 be the number of students who play exactly one of the three sports; S2 - the
number of students who play exactly two of the three sports; and let S3 be the number
of students who play all three sports. We know that S3 = 15 and S1 + S2 + S3 = 100
(the total number of students). Also in the sum 50+45+50 (soccer players + basketball
players + volleyball players), each student who plays exactly one sport is counted once,
the ones who play exactly two sports are counted twice, and those who play all three
sports are counted three times. Thus, 50 + 45 + 50 = S1 + 2S2 + 3S3. Note that
S2 = (S1 + 2S2 + 3S3) − (S1 + S2 + S3) − 2S3 = 15
correct answer A
Question: Pipes A and B can fill a tank in 2 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
A.3 9/97 hrs
B.3 9/77 hrs
C.3 9/17 hrs
D.1 5/7 hrs
Answer: D.1 5/7 hrs
Explanation: Net part filled in 1 hour = 1/2 + 1/6 - 1/12
= 7/12
The tank will be full in 12/7 hrs, i.e., 1 5/7 hrs.
Answer:D
Question: Tom can do a piece of work in 5 days and Ben alone can do it in 10 days. How much time will both take to finish the work ?
A.A)3.3333
B.B)4.3333
C.C)7.3333
D.D)5.3333
Answer: A.A)3.3333
Explanation: This question can be solved by different methods. We need to conserve time in exams so solving this problem using equations is the good idea.
Time taken to finish the job = XY / (X + Y)
= 5 x 10 / (5 + 10)
= 50 / 15
= 3.3333 days
Answer: A
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.5 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
A.9.6
B.12.
C.12.5.
D.14.
Answer: A.9.6
Explanation: Both competitors are sailing making angle of 90 degrees.
After 5 hrs one competitor will cover a distance of = 1.5 *5= 7.5 KM
And, other competitor will cover a distance of = 1.2*5= 6KM
distance between them after 5 hrs = (7.5^2+ 6^2)^1/2= 9.6 KM
A is the answer
Question: Which of the following fractions E, if written as a decimal, would have a 2 in the thousandths place ?
A. 3/11
B. 7/9
C. 1/8
D. 4/7
Answer: A. 3/11
Explanation: (A) E=3/11 = 0.2727272727....
Answer: A
Question: Milk contains 5% water.What quantity of pure milk should be added to 10 litres of milk to reduce this 2%?
A.15 litres
B.16 litres
C.17 litres
D.25 litres
Answer: A.15 litres
Explanation: Present Ration of MIlK TO WATER IS 95:5
Amount of Milk is 10 litres
Hence, Pure milk content is 9.5 litre
and water content is 0.5 litres
Now, we should not disturb the water content
So, 0.5 litres of water is equivalent to 2%
So 100% mixture is :(0.5/2)*100=25litre
Thus, milk should be added=25-10=15 litres of pure milk
ANSWER:A
Question: A card shop contains 5 birthday cards, 5 holiday cards, and 5 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?
A.6/91
B.5/93
C.4/95
D.3/97
Answer: A.6/91
Explanation: It might require to be written as "5 different birthday cards, 5 different holiday cards, and 5 different graduation cards" rather than "5 birthday cards, 5 holiday cards, and 5 graduation cards"..
If the cards are same there will be ONLY 1 way to pick from each type and thus overall 3..
so numerator has to be 3, or 1 if 3 cancels out..
If I take all as different cards--
ways to pick 3 cards of same type = 5C3 * 3= 30
ways to pick 3 cards out of 15 = 15C3 = 455
Prob = 30/455 = 6/91
Ans: A
Question: The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?
A.11
B.7
C.10
D.12
Answer: C.10
Explanation: since given ratio is 6:5 of their ages.
6x+5x=55(given)
11x=55
x=5. so present ages are: 6*5=30 and 5*5=25
after few yrs ratio becomes 8:5.
so,their ages will become 8x and 7x respectively, ie. 40 and 35 respectively.
nw difference of their current ages and further ages is clear from above... ie. 10 yrs.
ANSWER:C
Question: A certain fraction is equivalent to 2/5. If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/4. What is the difference of the numerator and denominator of the original fraction?
A. 49
B. 35
C. 28
D. 24
Answer: D. 24
Explanation: x/y = 2/5 -> 1
(x+4)/2y = 1/4 -> 2
Divide 1 by 2 :
=> 2x/(x+4) = 8/5
=> 5x = 4x + 16
=> x = 16
=> y = 5/2 *16 = 40
so x - y = 24
The answer is D
Question: The ratio of Male to Female in last week Calvary Church attendance was 4:6. If 60% of the Male and 40% of the Female were Under 35 years, How many people under 35 years of age attended Calvary Church last Sunday.
A.51%
B.50%
C.48%
D.54%
Answer: C.48%
Explanation: let total no of last week Calvary church attendance be 100, Male 40 and Female 60, so total number of last week Calvary church attendance below 35 years for both male and female respectively 40* 60/100=24 and 60* 40/100=24
so total 48 Calvary church attendance last week out of a Total of 100 attendance is under 35 years......so required % is 48%
ANSWER:C
Question: A man complete a journey in 20 hours. He travels first half of the journey at the rate of 10 km/hr and second half at the rate of 15 km/hr. Find the total journey in km.
A.220 km
B.240 km
C.230 km
D.232 km
Answer: B.240 km
Explanation: 0.5x/10 + 0.5x/15 = 20
--> x/10+ x/15= 40
--> 5x = 30x40
--> x = (30x40)/5 = 240 km.
Answer : B.
Question: Sum of 49 odd numbers is?
A.2398
B.2399
C.2400
D.2401
Answer: D.2401
Explanation: sum of 1st n odd no.s = 1+3+5+7+... = n^2
so, Sum of 1st 49 odd numbers = 49^2 = 2401
ANSWER:D
Question: What is the smallest number K which when increased by 5 is completely divisible by 8, 11 and 24?
A.264
B.259
C.269
D.270
Answer: B.259
Explanation: This question includes a number of great Number Property shortcuts that you can take advantage of:
1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.
2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.
3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.
The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.
Final Answer:
B
Question: Ayesha's father was 38 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.2 years
B.4 years
C.6 years
D.8 years
Answer: D.8 years
Explanation: Explanation:
Mother's age when Ayesha's brother was born = 34 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 34) years = 8 years.
Answer: D
Question: A is a working partner and B is a sleeping partner in a business. A puts in 20,000 and B 90,000. A gets 20% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of B in profit of 11000.
A.3500
B.7200
C.6800
D.4800
Answer: B.7200
Explanation: The amount A gets for managing
= 20% of Rs. 11000 = 2200
Remaining profit = 11000 – 2200 = 8800
This is to be divided in the ratio 2 : 9.
Share of B = 9/11 of 8800 = 7200
Answer B
Question: 99! how many zero's?
A.20
B.21
C.22
D.23
Answer: C.22
Explanation: 99!=99/5=19
=19/5=3
so 99! has (19+3=22 zeroes)
ANSWER:C
Question: A can do a piece of work 30 days. B can do work in 55 days. In how many days they will complete the work together?
A.15 days
B.16 days
C.19.4 days
D.17.2 days
Answer: C.19.4 days
Explanation: LCM = 330, Ratio= 30:45=6:11
No of days= 330/(6+11) = 330/17 = 19.4 days
ANSWER:C
Question: Raman mixed 24 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.339
B.278
C.189
D.287
Answer: C.189
Explanation: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
Answer: C
Question: Nitin ranks 18th in a class of 49 students. What is rank from the last ?
A.33
B.38
C.32
D.28
Answer: C.32
Explanation: Explanation:
Number students behind the nitin in rank = (49 - 18) = 31
Nitin is 32nd from the last
Answer: C) 32
Question: Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 30% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?
A.A)(3/23)m
B.B)(1/3)m
C.C)(1/4)m
D.D)(1/5)m
Answer: A.A)(3/23)m
Explanation: let angela work for 10hrs and get 1150 rs. (m =1150)
According to question, linda works 30% more time and gets the same amount. so let linda work 13 hrs and get 1150 rs.
so they do a total of 13 +10=23 hrs of work and get 2300 rs together . The question basically asks to equalise their payment. so a total of 2300 rs is received by them and they do 23 hrs work together. average rate will be 2300/23 = 100 rs per hr. so linda should get 13*100 =1300 rs. But she got only 1150. so angela should give 150 rs to linda. answer = 150/1150 =3/23
answer A
Question: Three partners A, B, C in a business invested money such that 2(Aâ€™s capital) = 5(Bâ€™s capital) = 10(Câ€™s capital) then, The ratio of their capitals is
A.63 : 45 : 34
B.63 : 54 : 34
C.5 : 2 : 1
D.63 : 45 : 35
Answer: C.5 : 2 : 1
Explanation: Explanation:
Let 2(Aâ€™s capital) = 5(Bâ€™s capital) = 10(Câ€™s capital) = Rs.x
Then, Aâ€™s capital = Rs x/2, Bâ€™s capital = Rs. x/5 and Câ€™s capital = Rs. x/10
A : B : C = x/2 : x/5 : x/10
5 : 2 : 1
Answer: Option C