RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 30%, what is the probability that Karen will be accepted to at least one project?
A.729/1000
B.657/1000
C.343/500
D.123/250
Answer: B.657/1000
Explanation: Since the probability of Karen's being accepted to each individual project is 30%, the probability of her not being accepted to each project is 70%. The probability that she will be accepted to none is, therefore, (7/10)*(7/10)*(7/10)=343/1000.
P(Karen will be accepted to at least one project) = 1 - (343/1000) = 657/1000.
The answer is B.
Question: For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 25 percent of the seeds in the first plot germinated and exactly 40 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
A.12%
B.26%
C.29%
D.31%
Answer: D.31%
Explanation: In the first plot 25% of 300 seeds germinated, so 0.25 x 300 = 75 seeds germinated.
In the second plot, 40% of 200 seeds germinated, so 0.4 x 200 = 80 seeds germinated.
Since 75 + 80 = 155 seeds germinated out of a total of 300 + 200 = 500 seeds, the percent of seeds that germinated is (155/500) x 100%, or 31%.
Answer: D.
Question: Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460?
A.797
B.798
C.799
D.796
Answer: A.797
Explanation: 5678 - 35 + (one of the answer option) should be divisible by 460. Only option C satisfies.
Answer:A
Question: How many multiples of 3 are less than 6500, and also multiples of 7?
A.104
B.208
C.310
D.340
Answer: C.310
Explanation: LCM of 3 & 7 = 21
Tried dividing 6500 by 21
Got quotient 309.5'So C is answer
Question: If (A-B-C+D = 13) and (A+B-C-D = 5), what is the value of (B-D)^2?
A.4.
B.8.
C.12.
D.16
Answer: D.16
Explanation: A-B-C+D = 13 -- equation 1
A+B-C-D = 5 -- equation 2
Adding 1 and 2 , we get
2A - 2C = 18
=> A-C = 9 -- equation 3
Using equation 3 in 2 , we get
B-D = 5 - 9 = -4
=>(B-D)^2 = 16
Answer D
Question: In how many different number of ways 1 boys and 2 girls can sit on a bench?
A.700
B.7
C.6
D.8
Answer: C.6
Explanation: npn = n!
3p3 = 3 × 2 × 1 = 6
C)
Question: A bangle was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.Rs.800
B.Rs.700
C.Rs.1000
D.Rs.1100
Answer: C.Rs.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- => Rs.1000
C
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
A.8 years
B.10 years
C.12 years
D.14 years
Answer: C.12 years
Explanation: Sol. RMBflSk -6 = 3 (Ravi - 6)	...(j)
and Rupesh + 6 = | (Ravi + 6)	...(ii)
Solving both the equations we get,
Ravi = 12 years.
C
Question: The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
A.300 sq m
B.356 sq m
C.452 sq m
D.428 sq m
Answer: A.300 sq m
Explanation: 2(3x + x) = 80
l = 30 b = 10
lb = 30 * 10 = 300
ANSWER:A
Question: A goods train runs at the speed of 72 km/hr and crosses a 220 m long platform in 26 sec. What is the length of the goods train?
A.382
B.782
C.300
D.270
Answer: C.300
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 220)/26 = 20
x = 300 m.
Answer: C
Question: Cities M and N are 600km apart. Bus A starts from city M towards N at 9AM and bus B starts from city N towards M at the same time. Bus A travels the first one-third of the distance at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmpr. Bus B travels the first one-third of the total time taken at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. When and where will the two buses cross each other?
A.300 kms from A
B.280 kms from A
C.305 kms from A
D.295 kms from A
Answer: D.295 kms from A
Explanation: DETAILED SOLUTION
Bus A
Travels 200km @ 40kmph
the next 200km @ 50kmph and
the final 200km @ 60kmph
So, Bus A will be at a distance of 200km from city M after 5 hours, and at a distance of 400km after 9 hours, and reach N after 12 hours and 20 mins
Bus B
Travels at an overall average speed of 50kmph, so will take 12 hours for the entire trip.
So, Bus B will travel
160 kms in the first 4 hours
200 kms in the next 4 hours
and 240 in the final 4 hours
So, both buses cross each other when they are in their middle legs.
After 5 hours, bus A will be at a position 200kms from city M. At the same time, bus B will be at a distance 210kms from city N (4 * 40 + 50).
The distance between them will be 190kms (600 - 200 - 210). Relative speed = Sum of the the two speeds = 50 + 50 = 100 kmph.
Time taken = 190/100 = 1.9 hours. = 1 hour and 54 minutes. So, the two buses will meet after 6 hours and 54 minutes. Bus B will have travelled 210 + 95 = 305 kms. So, the two buses will meet at a point that is 305 kms from City N and 295 kms from city A.
CORRECT ANSWER D
Question: Sum of two numbers is 25. First exceeds by 5 from the other. Then the numbers will be?
A.20, 5
B.10, 15
C.15, 10
D.5, 20
Answer: C.15, 10
Explanation: Explanation:
x + y = 25
x - y =5
x = 15 y = 10
Answer: C
Question: In how many different ways can the letter of the word 'CONCEALED ' be arranged in such a way that the vowels occupy the odd positions?
A.7412
B.4596
C.5760
D.4563
Answer: C.5760
Explanation: In the given word there 5 letters in that there are 4 vowels and 5 consonants
no of ways of arranging the vowels=4P4=48
no of ways of arranging the consonants=5P5=120
total number of ways 120*48=5760
Answer(C)
Question: In a shop 90% of the articles are sold at a profit of 20% and the remaining at a loss of 40%.what is the overall profit/loss?
A.14% profit
B.10% loss
C.18% profit
D.7% loss
Answer: A.14% profit
Explanation: 90*1.05+10*0.6/100=1.14
ANSWER:A
Question: The sum of the first 50 positive even integers is 2550. What is the sum W of even integers from 102 to 200 inclusive?
A.5100
B.7550
C.10100
D.15500
Answer: B.7550
Explanation: My solution is:
First 50 even integers:
2
4
6
8
<...>
Integers from 102 to 200
102
104
106
108
<...>
We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:
W=2550+(100*50)=7550.B
Question: The inner circumference of a circular race track, 25 m wide, is 880 m. Find radius of the outer circle?
A.165m
B.120m
C.100m
D.190m
Answer: A.165m
Explanation: Let inner radius be r metres. Then, 2Πr = 880 ⇔ r = (880 x (7/44))= 140 m.
Radius of outer circle = (140 + 25) m = 165 m.
hence A
Question: To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is?
A.20%
B.30%
C.25%
D.15%
Answer: B.30%
Explanation: Quantity of sugar = 40*3/100 = 1.2kg
New percentage = 1.2/4 * 100 = 30%
Answer is B
Question: A can do a certain job in 10 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
A.7 1/2 days
B.8 days
C.6 1/4 days
D.9 days
Answer: C.6 1/4 days
Explanation: Ratio of times taken by A and B = 160 : 100 = 8 : 5.
Suppose B alone takes x days to do the job.
Then, 8 : 5 :: 10 : x = 8x = 5 x 10 =x = 6 1/4 days.
Answer is C.
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
A.144 min
B.145 min
C.150 min
D.200 min
Answer: A.144 min
Explanation: slower pipe alone fill the tank = x
faster pipe will fill in x/3 min
1/x+3/x=1/36
x=144 min
ANSWER A
Question: A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?
A.(36y + 18x)/(y + 2)
B.(18y + 9x)/4
C.(36x)/(2y + 3x)
D.(24y + 12x)/(4 + x)
Answer: D.(24y + 12x)/(4 + x)
Explanation: The total number silicon stoppers weighing 6y grams is 36 and 12 grams is 9x
Average weight = (36*6y + 9x*12)/36+9x
= (9(24x + 12y))/(9(4+x))
= 24x+12y/4+x
(Option D)
Question: An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again,it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the tank?
A.50%
B.40%
C.33.5%
D.37.5%
Answer: D.37.5%
Explanation: Now, amount of petrol A = A⁄4 + A⁄8 = 3A⁄8
∴ required% = 3A⁄ (8 × A) × 100 = 37.50%
Answer D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A.228 Sec
B.190 Sec
C.167 Sec
D.767 Sec
Answer: B.190 Sec
Explanation: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
Question: In Net's hair salon 40% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
A.5%
B.7%
C.12%
D.15%
Answer: B.7%
Explanation: Let a total of 100 people visit the salon.
Total = 100
Dye hair blonde (A) = 40 % = 40
Dye Eyebrows blonde (B) = 36% = 36
Straighten Hair (C) = 35% = 35
Neither = 20% = 20
All Three = 12% =12
Total = A+B+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither
100 = 40+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20
(Sum of Exactly Two group overlaps) = 9
%of customers coming for exactly 2 of the 3 procedures =7%
B
Question: The greatest possible length which can be used to measure exactly the length 5m ,2m 19cm, 4m 20 cm is?
A.25cm
B.1cm
C.56cm
D.42cm
Answer: B.1cm
Explanation: Required length = H.C.F of 500cm, 219cm, 420cm = 1cm
Answer is B
Question: If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 6x years from now?
A.32
B.39
C.30
D.40
Answer: B.39
Explanation: Assume the current age = a
a - x/4 = 14 (i)
a + x/4 = 4x
Or a = 15x/4 (ii)
Putting the value of a from (ii) in (i)
15x/4 - x/4 = 14
Or 14x/4 = 14 Therefore x = 4 and a = 15
6x years from now, age will be 15 + 6*4 = 39
Option B
Question: There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
A.90
B.120
C.150
D.180
Answer: C.150
Explanation: Number of ways of selecting 2 fiction books = 5C2
Number of ways of selecting 2 non fiction books = 6C2
5C2 * 6C2 = 10 * 15 = 150
Answer: C
Question: Lisa is 10 yaers older than Joey. If the sum of their age is 40 , what is the age of Joey?
A.15 years
B.25 years
C.10 years
D.20 yaers
Answer: A.15 years
Explanation: Let Joey's age be x.
x + x + 10 = 40
x = 15
Hence Joey's age is 15 years
Answer : A
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
A.3 days
B.6 days
C.8 days
D.4 days
Answer: A.3 days
Explanation: 12/ (2 * 2) = 3 days
Answer:A
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
A.169
B.175
C.544
D.166
Answer: B.175
Explanation: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m
Answer:B
Question: In the rectangular coordinate system, points (5, 0) and (– 5, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
A.2
B.4
C.8
D.16
Answer: B.4
Explanation: The answer is B
It takes 3 distinct points to define a circle. Only 2 are given here.
The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 5 B
Question: What decimal of an hour is a second ?
A.0.00027
B.0.00025
C.0.00026
D.0.00024
Answer: A.0.00027
Explanation: Explanation :
1 hour = 60 minutes = 3600 seconds
Hence, required decimal = 1/3600 = 0.00027. Answer : Option A
Question: Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 60% savings. Assuming that they operate independently, what is the net saving achieved?
A.56%
B.64%
C.62.2%
D.83.2%
Answer: D.83.2%
Explanation: If initial cost is Rs 100, then
Final cost will be 100*0.7*0.6*0.4 = Rs. 16.8
savings = 100-16.8=83.2
so 83.2%
ANSWER:D
Question: How many three letter words are formed using the letters of the word MOUSE?
A.120
B.125
C.130
D.150
Answer: A.120
Explanation: Explanation:
The number of letters in the given word is five.
The number of three letter words that can be formed using these five letters is Ã¢Â´PÃ¢â€šÆ’ = 5*4 * 3 = 120.
Answer: A
Question: Find the number of square tiles to cover the floor of a room measuring 3.75 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
A.478
B.376
C.442
D.471
Answer: C.442
Explanation: 3 1/4 * 8 1/2 = 1/4 * 1/4 * x => x
= 442
Answer:C
Question: A school has 4 section of Chemistry in Class X having 50, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
A.50.12
B.52.12
C.51.12
D.53.12
Answer: B.52.12
Explanation: Required average marks
= 50Ã—50+35Ã—60+45Ã—55+42Ã—45/50+35+45+42
= 2500+2100+2475+1890/172
= 8965â„172 = 52.12
Answer B
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 21,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
A.5,476,811 kilometers squared
B.11,500,148 kilometers squared
C.9,843,123 kilometers squared
D.1,878,965 kilometers squared
Answer: B.11,500,148 kilometers squared
Explanation: he difference between the areas of Russia and China is given by
21,098,242 - 9,598,094 = 11,500,148 kilometers squared
correct answer B
Question: A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2200
A.17%
B.5%
C.6%
D.7%
Answer: A.17%
Explanation: Explanation:
Gain % = (364.36*100/2200) = 16.56 % = 17% approx
Option A
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 8 years younger than Albert. How old is Betty?
A.4
B.6
C.10
D.16
Answer: A.4
Explanation: A = 2M = M+8
M = 8
A = 16
A = 4B, and so B = 4
The answer is A.
Question: A man on tour travels first 150 km at 50 km/hr and the next 140 km at 70 km/hr. Find the average speed for first 290 km of tour.
A.54.11 km/hr
B.56.11 km/hr
C.58 km/hr
D.60.11 km/hr
Answer: C.58 km/hr
Explanation: Explanation:
We know Time = Distance/speed
So total time taken =
(150/50+140/70)=5hours
Time taken for 290 Km = 290/5=58km/hr
Option C
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 7 pens costing 2 dollars each.How much did Maria pay?
A.34 dollars
B.40 dollars
C.50 dollars
D.60 dollars
Answer: A.34 dollars
Explanation: Solution
2 × (10 + 7) = 2 × 10 + 2 × 7 = 20 + 14 = 34 dollars
Answer A
Question: if 60% of (x-y) = 30% of (x+y) then what percent of x is y?
A.33%
B.10%
C.5%
D.15%
Answer: A.33%
Explanation: 60% of (x-y)=30% of(x+y)
(60/100)(x-y)=(30/100)(x+y)
6(x-y)=3(x+y)
3x=9y
x=3y
therefore required percentage
=((y/x) X 100)% = ((y/3y) X 100) =33%
Answer is A.
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1200. What is their H.C.F.?
A.20
B.60
C.90
D.100
Answer: A.20
Explanation: Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x
60x = 1200
x = 20
The numbers are (3 x 20), (4 x 20) and (5 x 20).
The H.C.F. is 20.
The answer is A.
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
A.210 km
B.240 km
C.220km
D.180km
Answer: A.210 km
Explanation: In first 3 hours T1 travels R km and T2 travels S km.
After 6 hours they traveled R+S+70+ 700
2(R+S ) = R+S +140
R+S = 140
Hence distance between XY is R+S+ 70 = 140 +70 =210
ANSWER:A
Question: 5n + 2 > 12 and 7n + 2 < 44; n must be between which numbers?
A.1 and 8
B.2 and 6
C.0 and 9
D.2 and 7
Answer: B.2 and 6
Explanation: 5n+2 > 12
5n > 10
n > 2
7n+2 < 44
7n < 42
n < 6
So n must be between 2 and 6
2 < n < 6
correct answer B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 5000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A.s. 375
B.s. 425
C.s. 625
D.s. 800
Answer: C.s. 625
Explanation: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 5000) =Rs.625
Answer = C
Question: The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 40, what is the possible maximum range of the temperatures?
A.20
B.25
C.40
D.50
Answer: D.50
Explanation: there are 5 days so the sum of temperature can be 50*5=250
lowest is 40. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*40=160.
on the fifth day it is 250-160=90
range is therefore 90-40=50
answer D
Question: What is the units digit of (493) (913) (381) (756) (29)
A.0
B.1
C.4
D.3
Answer: D.3
Explanation: Just multiply the digits in the units place for each term and you will get the answer. It should be 0. you got a 5 as a unit digit and an even number term. so the multiplication of this will definitely yield a 0. Answer has to be 0.
I also tried it using the calculator and the answer is 3.
IMO D.
Question: Find out the C.I on Rs.6000 at 4% p.a. compound half-yearly for 1 1/2 years
A.367.25
B.306.07
C.306.04
D.306.03
Answer: A.367.25
Explanation: A = 6000(51/50)3
= 6367.248
6000
-----------
367.25
Answer:A
Question: The number of meters in BB is equal to the square root of the number of centimeters in BB. What is the length of BB (1 meter=100 centimeters)?
A.100 meters
B.10 meters
C.100 centimeters
D.10 centimeter
Answer: A.100 meters
Explanation: I'd plug in the options for this question.
Check option A: if the number of meters in BB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.
Answer: A.
Question: The Lulu mall in city charges 80 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If David parked his bike in the mall for 7 hours and 30 minutes, how much is he going to pay?
A.$36.6
B.$12.
C.$13.
D.$14.5.
Answer: A.$36.6
Explanation: 0.80+5*5+2*5+0.80= $36.6
Answer: $36.6
Question: What number is obtained by adding the units digits of 734^99 and 347^82?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: The units digit of 734^99 is 4 because 4 raised to the power of an odd integer ends in 4.
The units digit of 347^82 is 9 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 82 is in the form 4n+2, the units digit is 9.
Then 4+9 = 13.
The answer is D.
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 292. What is the sum of all the integers in the sequence?
A.552
B.616
C.774
D.886
Answer: B.616
Explanation: let the first term of the sequence be x
since it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)
now,
sum of first 4 terms =292
or,
4x+12=292
x=280/4=70
Thus the answer can now be calculated by either summing up 70+72+74+... 8th term
or
s=n/2(2a+(n-1)d
=8/2(2*70+(7*2))
=4(140+14)=616
B
Question: A man rows his boat 90 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
A.9 kmph
B.6 kmph
C.5 kmph
D.8 kmph
Answer: A.9 kmph
Explanation: Speed downstream = d/t = 90/(2 1/2) = 36 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (36 - 18)/2 = 9 kmph
Answer:A
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
A.8 kmph
B.11 kmph
C.12 kmph
D.14 kmph
Answer: C.12 kmph
Explanation: Explanation:
Let the distance travelled by x km.
Then,	x/10-x/15=2
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr =60/10 hrs= 6 hrs.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed =	60/5kmph= 12 kmph
ANSWER IS C
Question: The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
A.238
B.277
C.278
D.200
Answer: D.200
Explanation: Explanation:
Let the number of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).
0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..
Answer: D) 200
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A.928
B.278
C.192
D.108
Answer: D.108
Explanation: The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12
= 108 ways.
Answer:D
Question: 10 is subtracted from 50% of a number, the result is 25. Find the number?
A.75
B.70
C.35
D.170
Answer: B.70
Explanation: (50/100) * X â€“ 10 = 25
5X = 350
X = 70
Answer:B
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 women can colour 36 m long cloth in?
A.day
B.day
C.days
D.days
Answer: B.day
Explanation: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
B)
Question: How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
A.576
B.575
C.620
D.640
Answer: A.576
Explanation: 1 digit = 5
2 digits = 4* 5 = 20
3 digits = 4*5*5= 100
Now,4 digit number till 4000 can have digits 1,2,3 in thousands place ( total choices = 3 )
0,1,2,3,4 in hundreds ,tens and ones place
I.e 3*5*5*5 = 375
Now From 4000 to 4299 = 1*3*5*5 =75
Total = 5+20+100+375+75+1 =576 (1 for 4300)
ANSWER:A
Question: T=(429)^2 * 237 * (1243)^3 is thrice of ?
A.33605 * 31960 * (1243)^2
B.33654 * 538219 * (1243)^2
C.33891 * 533247 * (1243)^2
D.34122 * 532004 * (1243)^2
Answer: C.33891 * 533247 * (1243)^2
Explanation: T=(429)^2*237*(1243)^3 is an odd number.
Among answer choices only C is an odd number, (so thrice C also will be an odd number).
Answer: C.
Question: A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?
A.392
B.412.
C.432.
D.502
Answer: A.392
Explanation: Solution 1 : Given that number of pastries are equally divided in to 28 groups, so the answer should be a multiple of 28. And in the given choices, only 392 is divisible by 28 with remainder 0(Make sure others are no multiples of 28). So this is good enough to stop here, but to verify, 392/28 = 14 and 392/49 = 8, which confirms the second part of question, 14-8 , 6 pastry short of each customer.
Solution 2 : Going mathematical, expressing in the equation form, Let x be the number of pastries and , n be the number of customers in 28 groups.
So, x = 28 * n,
as per second statement, x = 49 * (n - 6 )
Solve the above 2 for n and then we get x as 392.
Answer is A : 392.
Question: A 6 by 8 rectangle is inscribed in circle. What is the circumference of the circle?
A.5π
B.10π
C.15π
D.20π
Answer: B.10π
Explanation: The diagonal of the rectangle will be the diameter of the circle.
and perimeter= 2*pi*r
Ans: B