RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Set A is {1, 3, 5, 7, 9}
Set B is {8, 10, 12, 14, 16}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.
A.I only
B.I and II only
C.I and III only
D.II and III only
Answer: B.I and II only
Explanation: The mean and median of Set A is 5.
The mean and median of Set B is 12.
Thus statements I and II are both true.
The standard deviation is related to the distance from the mean.
Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.
The answer is B.
Question: A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 8 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
A.8 + 4 + 10
B.8 × 4 × 10
C.21 × 20 × 19
D.8! + 4! + 10!
Answer: B.8 × 4 × 10
Explanation: 1 sales manager can be selected out of 8 in 8 ways
1 clerk can be selected out of 4 in 4 ways
1 receptionist can be selected out of 10 in 10 ways
total no. of ways these 3 can be selected = 8 *4 * 10
Ans. B)8 × 4 × 10
Question: If you wish to live to be 100 years old (hypothetically), you must consume 500 calories less than your Average Daily Allowance for your age. If you are in your 60's, and your Average Daily allowance is 2000 calories per day, how many calories are you allowed in a week?
A.7000
B.10500
C.14000
D.12000
Answer: B.10500
Explanation: To determine the amount of calories allowed per day, you need to subtract 500 from 2000, for a total of 1500
To determine the amount of calories allowed per week, you need to multiply the daily amount allowed (1500) by the number of days in a week (7) for a total of 10500
The correct answer is B
Question: How many pieces can a square pizza be cut into by making 5 linear cuts?
A.16
B.17
C.13
D.14
Answer: A.16
Explanation: 1 cut can make 2 pieces
a second cut can make 4 pieces by cutting through 2 pieces
a third cut can make 7 pieces by cutting through 3 of the pieces
a fourth cut can make 11 pieces by cutting through 4 of the pieces
a fifth cut can make 16 pieces by cutting through 5 of the pieces
A
Question: A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it?
A.84 days
B.84 ½ days
C.85 days
D.87 days
Answer: C.85 days
Explanation: Explanation:
(A+B) 1 day work = 1/48
(B+C) 1 day work = 1/72
(A+C) 1 day work = 1/60
By adding 2(A+B+C) = 1/48 +1/72+1/60 = 37/720
(A+B+C) 1 day work = 37/1440
A 1 day work = 37/1440 – 1/72 = 17/1440 = 85 days (approximately)
Answer: Option C
Question: A cement mixture is composed of 3 elements. By weight, 1/5 of the mixture is sand, 3/4 of the mixture is water, and the remaining 6 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
A.100
B.120
C.130
D.140
Answer: B.120
Explanation: Let the total weight be x.
Sand content= (1/5)x
Water content= (3/4)x
Gravel=x-(1/5)x-(3/4)x=(1/20)x=6
x=120
Then answer will be B=120
Question: Mary deposits a certain sum of money in a bank at 16% p.a. simple interest. After how many years will she receive double her amount?
A.10 years 2 months
B.12 years 6 months
C.9 years
D.8 years
Answer: B.12 years 6 months
Explanation: Solution: simple interest question
B=A[1+ (tr/100)]; where A is principal amount, B final amount, t time in years and r interest rate
after putting the values 16
3= [1+(16t/100)]
t= 25/2 which is 12 years 6 months
Answer is B
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
A.Rs. 2000
B.Rs. 2200
C.Rs. 2400
D.Data inadequate
Answer: A.Rs. 2000
Explanation: Explanation :
Let the C.P. of the article be Rs. x
Given that % profit earned by selling article at Rs. 1920 = % loss incurred by selling article at Rs. 1280
(1920−x/x)∗100 = (x−1280/x)∗100
=> 1920 - x = x - 1280
=> 2x = 3200
=> x = 1600
S.P. for 25% profit = Rs. 1600 + 25% of Rs. 1600 = Rs. 1600*(125/100) = Rs. 2000
Answer : A
Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
A.8 hrs 18 min
B.8 hrs 85 min
C.8 hrs 15 min
D.7 hrs 15 min
Answer: C.8 hrs 15 min
Explanation: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min
Answer: C
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 480 pounds of the seed mixture?
A.6
B.12
C.20
D.24
Answer: B.12
Explanation: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
480 / 40 = 12 acres
The answer is B.
Question: The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?
A.7:3
B.3:7
C.4:8
D.8:4
Answer: A.7:3
Explanation: Let age of the son before 10 years =x and
age of the father before 10 years =3x
(3x+20)=2(x+20)⇒x=20
Age of the son at present =x+10=20+10=30
Age of the father at present =3x+10=3×20+10=70
Required ratio =70:30=7:3
Answer is A.
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
A.1/3
B.2/5
C.2/7
D.3/5
Answer: A.1/3
Explanation: Let b stand for boy and g for girl. The sample space of the experiment is
S = {(g, g), (g, b), (b, g), (b, b)}
Let E and F denote the following events :
E : ‘both the children are girls’
F : ‘at least one of the child is a girl’
Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}
Now E n F = {(g,g)}
Thus P(F) = 3/4
and P (E n F )= 1/4
Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3
A
Question: A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.5 hours, then the distance covered at 40 kmph is
A.130 km
B.160km
C.100km
D.140km
Answer: B.160km
Explanation: Let the partial distance covered at 40 kmph be X
Let the another partial distance covered at 60 kmph be (250 - x)
Thus, x/40 - (250 - x)/60 = 5.5
or, x/40 + (250 - x)/60 = 5.5
or, (3x + 500 - 2x)//120 = 5.5
or 500 + x = 660
x=160
ANSWER:B
Question: 23 × 19 × ? ÷ 19 ÷ 17 = 115
A.65
B.75
C.85
D.95
Answer: C.85
Explanation: Explanation:
23 × 19 × ? ÷ 19 ÷ 17 = 115
=> (23 × 19 × ?)/(19 × 17) = 115
=> ? = (115 × 19 × 17)/(23 × 19) = 85
Answer: Option C
Question: How many bricks each measuring 20cm x 13.25cm x 8cm, will be needed to build a wall 7m x 8m x 15.5m
A.5600
B.4600
C.4094
D.7200
Answer: C.4094
Explanation: Explanation:
no. of bricks= volume of the wall/volume of 1 brick = (700 x 800 x 15.5) / (20 x 13.25 x 8) = 4094
Answer: C
Question: How many numbers between 200 and 400 begin or end with 3?
A.20
B.60
C.100
D.110
Answer: D.110
Explanation: There will be 10 numbers from 200 to 299 that will end with 3 ( 203, 213, 223........ 293 ).
There will be 100 numbers from 300 to 400 that will begin with 3, we will not count the numbers that will end with because they will be repeated.
Total numbers = 10 + 100 = 110
Answer is D.
Question: What is the area of a square field whose diagonal of length 16 m?
A.128
B.289
C.200
D.112
Answer: A.128
Explanation: d2/2 = (16 * 16)/2
= 128
Answer: A
Question: A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is
A.33 seconds
B.30 seconds
C.32 seconds
D.31 seconds
Answer: A.33 seconds
Explanation: There are 3 intervals when the clock strikes 4
Time taken for 3 intervals = 9 seconds
Time taken for 1 interval =9/3=3 seconds
In order to strike 12, there are 11 intervals.
Hence time needed =3Ã—11=33 seconds
Answer: A
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.2
B.4
C.6
D.5
Answer: B.4
Explanation: Explanation:
65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Question: Ajay pays Rs 6.4 per litre of spirit, He adds water and sells the mixture at Rs 8 per Iitre, thereby making 37.5% profit. Find the proportion of the water to that of the spirit received by the customers.
A.1:15
B.1:10
C.1:20
D.1:12
Answer: B.1:10
Explanation: Suppose the quantity of spirit purchased= X litres
Suppose quantity of water mixed = Y litres
Required ratio of the water and the spirit in the mixture = Y : X
C.P of X lts of spirit = Rs 6.4X
S.P of X lts of milk = Rs 8(X + Y)
profit % = 37.5
Thus, C.P = S.P x 100/(100 + gain% )
=> 64 =( 8X + 8Y)/(100 + 37.5) x 100
880 X= 800X +800Y
=> 80X = 800Y => X = 10Y
=> X/10 = Y/1
Required ratio = 1:10
ANSWER:B
Question: What percent of a day is four hours?
A.16.67%
B.16x1/2%
C.18x2/3%
D.22x1/2%
Answer: A.16.67%
Explanation: Explanation :
Required percentage = (4/24100)%.
= 16.67%.
Answer : A
Question: Robin's average (arithmetic mean) test score on 9 tests is 82. What must be Robin's score on a 10th test for his average score on the 10 tests to be 83?
A.92
B.82
C.72
D.62
Answer: A.92
Explanation: (9*82+x)/10=83
x=(10*83)-(9*82)
x= 830 - 738
total score required 830 - 738=92
Correct answer is A
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years replaced by a new boy. The age of the new boy is?
A.14 years 8 months
B.15 years
C.16 years 4 months
D.17 years 10 months
Answer: A.14 years 8 months
Explanation: Total decrease = (20 x 2) months
= 3 years 4 months
Age of the new boy
= 18 years - 3 years 4 months.
= 14 years 8 months.
ANSWER:A
Question: John purchased a fridge and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.
A.139
B.160
C.200
D.220
Answer: C.200
Explanation: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C
Question: The greatest number by which the product of three consecutive multiples of 6 is always
A.54
B.81
C.162
D.1296
Answer: D.1296
Explanation: Explanation:
6*12*18 = 1296
Option D
Question: A merchant purchased a jacket for $180 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
A.$0
B.$3
C.$4
D.$12
Answer: D.$12
Explanation: Let selling price = x
So, x = 180 + 25x/100
Calculating above, x = 240
Selling price =240
20% Discount on Selling price = 192
So, profit = 192-180 = 12 Answer = D
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 4:00 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
A.10.18 p.m
B.11.00 p.m
C.10.30 p.m
D.10.38 p.m
Answer: B.11.00 p.m
Explanation: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
4.00 + 7 h = 11.00 p.m.
Answer:B
Question: A ladies hostel had provision of food for 150 women for 45 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
A.40
B.41
C.42
D.54
Answer: C.42
Explanation: Explanation :
After 10 days : 150 women had food for 35 days.
Suppose 125 women had food for x days.
Now, Less women, More days (Indirect Proportion)
125 : 150 :: 35 : x
=> 125 x x = 150 x 35
=> x = 150 x 35 / 125
=> x = 42.
Answer : C
Question: The average of five numbers is 27. If one number is excluded, the average becomes 22. The excluded number is?
A.50
B.49
C.48
D.47
Answer: D.47
Explanation: Excluded number = (27 * 5) - (22 * 4)
= 135 - 88
= 47.
Answer: D
Question: A hall is 15m long and 12m broad.If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of hall is?
A.1100
B.1200
C.1300
D.1400
Answer: B.1200
Explanation: area of 4 wall=sum of area of floor and celling
2(l+b)*h=2(l*b)
(15+12)*h=2(12*15)
on solving h=20/3m
volume=l*b*h
=12*15*20/3
=1200m^3
ANSWER:B
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king i
A.1/26
B.1/28
C.1/21
D.1/22
Answer: A.1/26
Explanation: Explanation:
Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 âˆ© E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
Answer: A
Question: A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
A.6
B.7
C.5
D.4
Answer: A.6
Explanation: 4/10 + 9/x = 1 => x = 15
1/10 + 1/15 = 1/6 => 6 days
Answer:A
Question: If positive integer n is divisible by both 4 and 18, then n must be divisible by which of the following?
A.8
B.13
C.18
D.24
Answer: C.18
Explanation: A number divisible by both 4,18 is 36 which s divisible by 18.
IMO : Answer C 18
Question: What is the difference between the C.I. on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
A.Rs.2.04
B.Rs.2.09
C.Rs.2.06
D.Rs.2.22
Answer: A.Rs.2.04
Explanation: C.I. when interest is compounded yearly
= [5000 * (1 + 4/100) * (1 + (1/2 * 4)/100]
= 5000 * 26/25 * 51/50 = Rs. 5304
C.I. when interest is compounded half-yearly
= [5000 * (1 + 2/100)2]
= (5000 * 51/50 * 51/50 * 51/50) = Rs. 5306.04 Difference = (5306.04 - 5304) = Rs. 2.04.
Answer:A
Question: A certain company has budgeted $1380 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $400, how much was the company under budget or over budget?
A.$55 under budget
B.$30 under budget
C.$30 over budget
D.$55 over budget
Answer: D.$55 over budget
Explanation: The budget for 3 months is (3/12)*$1380 = $345
The company is $55 over budget.
The answer is D.
Question: Smitha bought 8 Kg of kiwi fruit at an average rate of 360.If she returned 3.5kg to the retailer,at an average rate of remaining fruit was 202.5, Then what is the average price, of the returned 3.5 Kgs ?
A.41.5
B.43
C.42
D.45
Answer: D.45
Explanation: Total price of 8Kg kiwi fruit=8*45=360
Total price of 4.5Kg kiwi fruit=4.5*45=202.5
Total price of 3.5Kg kiwi fruit=360-202.5=157.5
Average price of 3.5 Kgs kiwi fruit= 157.5/3=45
Correct option Answer:D
Question: Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/2 of an ounce and one to measure exactly 1/3 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12
A.1/6 and 2/3
B.III only
C.I and III only
D.II and III only
Answer: A.1/6 and 2/3
Explanation: 1/2-1/3=1/6 Choice III works
1/2+1/3=3+1/6 =4/6=2/3
Answer: A
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
A.7 liters
B.4 liters
C.3 liters
D.2 liters
Answer: D.2 liters
Explanation: 95% ----------- 38
5% ------------ ?
=> 2 liters
Answer: D
Question: The average age of 30 students in a class is 10years. If teacher's age is also included then average increases 1year then find the teacher's age?
A.59
B.55
C.61
D.41
Answer: D.41
Explanation: Total age of 50 students = 30*10 = 300
Total age of 51 persons = 31*11 = 341
Age of teacher = 341-300 = 41years
Answer is D
Question: If a^x = b^2y, then
A.log a/b= x/y
B.log a/ log b = x/y
C.log a/ log b = 2y/x
D.log b/a = x/y
Answer: C.log a/ log b = 2y/x
Explanation: a^x = b^2y => log a^x = log b^2y => x log a = 2y log b
=> log a/ log b = 2y/x
ANSWER:C
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is ?
A.6 days
B.8 days
C.12 days
D.14 days
Answer: B.8 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days.
B)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 51% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
A.60%
B.50%
C.25%
D.16%
Answer: D.16%
Explanation: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 51 - {both} + 40
{both} = 16%.
Answer: D.
Question: Renee has a bag of 6 candies, 4 of which are sweet and 2 of which are sour. Jack picks two candies simultaneously and at random. What is the chance that exactly 1 of the candies he has picked is sour?
A.3/5
B.7/18
C.8/15
D.4/10
Answer: C.8/15
Explanation: Renee has a bag of 6 candies, 4 of which are sweet and 2 of which are sour.
Jack picks two candies simultaneously and at random. What is the chance
that exactly 1 of the candies he has picked is sour?
Here's what I did: I thought why not use combinatorics lol (too brave right? :roll: ). So I thought there are 6!/4!2! = 15 ways to pick 2 candies out of the 6.
I need exactly 1 sour so the chance of getting exactly 2 sour was 4/15. 1-4/15 = 11/15. This was SOOO WRONG !!
Here's the answer:
2/6 x 4/5 = 8/30 (sour fist and then sweet)
2/6 x 4/5 = 8/30 (sweet fist and then sour)
8/30 + 8/30 = 16/30 = 8/15.
C is the answer
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
A.Rs.16000
B.Rs.20000
C.Rs.24000
D.Rs.28000
Answer: D.Rs.28000
Explanation: 3:1
2:1
------
6:1
1 ----- 4000
7 ----- ? => Rs.28,000
ANSWER:D
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 4 km/hr in the direction of the moving train if the speed of the train is 64 km/hr?
A.30
B.36
C.50
D.44
Answer: B.36
Explanation: Speed of train relative to man = 64 - 4 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 600 * 3/50 = 36 sec.
Answer: B
Question: Which of the following is true about 0<4x-|x|<5?
A.-1<x<0
B.0<x<1
C.4<x<5
D.2<x<3
Answer: B.0<x<1
Explanation: when can be 4x-|x| be greater than 0..
NEVER when x is positive..
ONLY A is left..
you can also substitute any value within the given range to check for answer
Example - put x as -0.5 for A. 0<x<1..
so 4x-|x| = 4*(0.5)- |0.5|=2-0.5 = 1.5 and it satisfies 0<|x|-4x<5
B
Question: A shopkeeper sold an book offering a discount of 5% and earned a profit of 25%. What would have been the percentage of profit earned if no discount was offered?
A.131.6
B.120
C.130
D.110
Answer: A.131.6
Explanation: Let C.P. be $100.
Then, S.P. = $125
Let marked price be $x. Then, 95/100 x = 125
x = 12500/95 = $131.6
Now, S.P. = $131.6, C.P. = $100
Profit % = 31.6%.
A
Question: Let N = 18p, where p is a prime number greater than 2. How many odd numbers divide N?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: We start by factoring 18. 18 = 2*9 = 6*3 = 2*3*3. Since p is a prime number greater than 2 it must be odd. Therefore 3, 9, and p are the odd numbers that divide N. There are three odd divisors and the answer is therefore C.
Question: A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
A.Rs.12828
B.Rs.12800
C.Rs.12829
D.Rs.12297
Answer: B.Rs.12800
Explanation: 16*8: x*4 = 5:2
x = 12.8 => Rs.12800
Answer: B
Question: What is the units digit of (3^5)(4^13)?
A.2
B.4
C.6
D.7
Answer: A.2
Explanation: -> The ones place of (~3)^n repeats after 4 times like 39713.
The ones place of (~4)^n repeats after 2 times like 464.
Then, 3^5=3^4*1+13^1.,
4^13=4^2*6+1=4^1=~4
which is (3^5)(4^13) (3^1)(~4)=(~3)(~4)=~2. Therefore, the answer is A.
Question: Each digit 1 through 5 is used exactly once to create a 5-digit integer. If the 3 and the 4 cannot be adjacent digits in the integer, how many 5-digit integers are possible?
A.48
B.66
C.72
D.78
Answer: C.72
Explanation: Total number of 5 digit numbers that can be formed = 5! = 120.
Total number of 5 digit numbers in which 3 and 4 are adjacent = 48. This can be calculated by taking 3 and 4 as a pair and considering positions where they can appear.
Number of 5 digit numbers in which 3 and 4 are not adjacent = Total number of 5 digit numbers - Total number of 5 digit numbers in which 3 and 4 are adjacent.
Ans = 120 - 48 = 72
C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 620 m long?
A.86
B.89
C.277
D.278
Answer: A.86
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 620)/10 = 86 sec.
Answer: A
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.15 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
A.Rs.950
B.Rs.1500
C.Rs.600
D.Rs.1200
Answer: C.Rs.600
Explanation: Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 15 = Rs.190
CP on 40 metres = 190 x 40 = Rs.7600
Profit earned on 40 metres cloth = Rs.8200 – Rs.7600 = Rs.600.
Answer: Option C
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 240 passengers. Find the no of passengers in the beginning?
A.264
B.180
C.192
D.144
Answer: A.264
Explanation: Let no of passengers in the beginning be X
After first station no passengers=(X-X/3)+280=2X/3 +280
After second station no passengers =1/2(2X/3+280)+12
1/2(2X/3+280)+12=240
2X/3+280=2*228 = 456 - 280 = 176
2X/3=176
X=264. So the answer is option A) 264.
Question: 3 no.'s A, B & C are in the ratio of 12:15:25. If sum of these no.'s is 312, find the ratio between the difference of B & A & the difference of C & B.
A.1 : 5
B.3 : 10
C.4 : 11
D.5 : 13
Answer: B.3 : 10
Explanation: We have, a = 12, b = 15, c = 25 and x = 312.
ax_ 12 X 312
a+b+c 12+15+25
— 72,
bx _ 15 X 312 B — — 90 a +b+c 12 + 15+ 25 cx 25 X 312 And, C =
a+b+c 12 + 15+ 25
...B-A=18 andC-B=60
- 150
Thus, their ratio = 18 : 60 or 3 : 10
B