divelab/Sys2Bench huggingface dataset:
Question: 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class?
Options:
A)1:4
B)1:5
C)5:6
D)1:6
E)None of these
Rationale: Explanation :
Let, the total number of students in the class be 't' and the total number of students in the class who are economically poor be 'p'.
So,Total number of students who failed = t/5.
Total number of male students who failed are:-
=>(3/4)×(t/5)=9p/10.
=>p/t=1/6.
Hence,Number of economically poor students/Number of Students=1/6=1:6.
Answer : D
Answer: D
Question: A 16% stock yielding 8% is quoted at?
Options:
A)165
B)170
C)175
D)180
E)200
Rationale: Assume that face value = Rs.100 as it is not given
To earn Rs.8, money invested = Rs.100
To earn Rs.16, money invested = 100×16/8 = Rs.175
ie, market value of the stock = Rs.200
Answer is E.
Answer: E
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, 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?
Options:
A)5,476,811 kilometers squared
B)9,500,148 kilometers squared
C)9,843,123 kilometers squared
D)1,878,965 kilometers squared
E)4,787,900 kilometers squared
Rationale: he difference between the areas of Russia and China is given by
19,098,242 - 9,598,094 = 9,500,148 kilometers squared
correct answer B
Answer: B
Question: a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.
Options:
A)12 p.m
B)2 p.m
C)1 p.m
D)10 p.m
E)2.20 p.m
Rationale: Suppose they meet x hours after 8 a.m.
Distance moved by first BUS in x hours + distance moved by 2nd BUS in x-1 hrs = 400
70x+40(x-1) = 400
70x+40x-40= 400
110x= 440
x = 4
So they meet 4 hr after 8 a.m. is at 12 p.m.
Answer is A
Answer: A
Question: Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution?
Options:
A)6:4
B)6:14
C)4:4
D)4:6
E)3:7
Rationale: Forget the volumes for the time being.
You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use
w1/w2 = (A2 - Aavg)/(Aavg - A1)
w1/w2 = (80 - 50)/(50 - 20) = 1/1
So the volume of the two solutions will be equal. Answer has to be 4:4=C
Answer: C
Question: If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses?
Options:
A)1/6
B)1/3
C)1/4
D)1/2
E)1
Rationale: P(2 heads) = 1/2*1/2=1/4
The answer is C.
Answer: C
Question: A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?
Options:
A)30
B)35
C)40
D)42
E)80
Rationale: A ratio of pennies to nickels of 5 to 3 means that we can write the number of pennies and nickels in the form
number of pennies = 5x and number of nickels = 3x
But we know the number of nickels, 30. Hence
3x = 30
Solve for x
x = 10
The total number of coins is given by
5x + 3x = 8x = 8 × 10 = 80
E
Answer: E
Question: Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
Options:
A)35years
B)32years
C)30years
D)25years
E)20years
Rationale: Explanation:
Average of the family of two numbers
7 years ago = 23
= (23+ 7) * 2 = 37 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 37 = 32 years
Answer: Option B
Answer: B
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
Options:
A)20
B)21
C)22
D)23
E)28
Rationale: Solution
Let the toatl number of workers be x.
Then 8000x=(14000 x 7) + 6000 (x -7)
x= 28.
Answer E
Answer: E
Question: A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 11 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Options:
A) 18/79
B) 1/6
C) 1/25
D) 1/50
E) 17/900
Rationale: Everything is correct except that you assumed the letters can't be repeated. It can be repeated.
AA
BB
CC
AB, AC, BC, BA, CA, CB.
Thus; total government vehicles = (10)^2*(3)^2 = 100*9 = 900
Vehicles inspected within 3 hours = 60*3/11 = 17
P = 17/900 = 1/50
Ans:E
Answer: E
Question: Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.
Options:
A)70
B)76
C)78
D)80
E)88
Rationale: Explanation:
Average after 11 innings should be 36
So, Required score = (11 * 36) - (10 * 32)
= 396 - 320 = 76
Answer: Option B
Answer: B
Question: In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options:
A)1
B)40
C)20
D)26
E)30
Rationale: Explanation :
Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect proportion)
More bags, more days (direct proportion)
⇒ 40 × 1 × 40 = 1 × 40 × x
⇒ x = 40 Answer : Option B
Answer: B
Question: In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Options:
A)(3,4)
B)(5,3)
C)(3,2)
D)(3,3)
E)(4,3)
Rationale: All points equidistant from O and Q lie on the line x = 5, so the fire station should lie on this line.
All points equidistant from O and P lie on the line y = 3, so the fire station should lie on this line.
These two intersect at (5,3) and that will be the point equidistant from all 3 points.
The answer is B.
Answer: B
Question: Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4
Options:
A)1
B)7.
C)2.
D)3
E)9
Rationale: A number ending in a 0 is divisible by 2. A number ending in 2 zeroes is divisible by 4.
Given the obscene number, you should immediately be convinced that you will need to focus on a very small part of it.
879,548,521,456,258,759,653,258,778,455,658,985 = 879,548,521,456,258,759,653,258,778,455,658,900+85
The first number is divisible by 16. You just have to find the remainder when you divide 5287 by 16. That will be the remainder when you divide the original number by 4.
85/4 gives remainder 1.
Answer (A)
Answer: A
Question: A car gets 28 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Options:
A)85
B)90
C)95
D)100
E)105
Rationale: Originally, the distance the car could go on a full tank was 15*28=420 miles.
After it has been modified, the car can go 28/0.8= 35 miles per gallon.
On a full tank, the car can go 15*35= 525 miles, thus 105 miles more.
The answer is E.
Answer: E
Question: If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
Options:
A)2725
B)2675
C)2875
D)2525
E)None of these
Rationale: Final answer = (10 1/2 - 4 2/3) * 450
= 5 5/6 * 450 = 5 * 450 + 5/6 * 450
= 2250 + 375 = 2625.
ANSWER:E
Answer: E
Question: What does the hexa number E78 in radix 7.
Options:
A)12455
B)14153
C)14256
D)13541
E)14541
Rationale: conversion of hexa decimal to decimal
(E78)=(8*16^0) + (7*16^1) + (14*16^2)=8 + 112 + 3584 =3704
conversion of decimal to Radix 7
3704/7:reminder:1 and dividend:529
529/7:reminder:4 and dividend:75
75/7:reminder:5 and dividend:10
10/7:reminder:3 and dividend:1
1/7:reminder 1
Then finally result is:13541
ANSWER:D
Answer: D
Question: Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Options:
A)6
B)7
C)8
D)9
E)10
Rationale: Area of tile = 70*30 = 2100
Area of floor = 130*110 = 14300
No of tiles = 14300/2100 = 6.8
So, the no of tile = 6
ANSWER:A
Answer: A
Question: Which of the following is closest to 10^170 – 10^30 ?
Options:
A)10^210
B)10^180
C)10^170
D)10^90
E)10^6
Rationale: 10^170 – 10^30
10^30 * (10^140 – 1)
as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^140 – 1) would remain as 10^140.
and 10^30 * 10^150 = 10^180. Answer is C.
Answer: C
Question: When average age of 25 members are 0, how many members greater than 0?
Options:
A)17
B)24
C)21
D)23
E)25
Rationale: Average of 25 numbers = 0.
Sum of 25 numbers (0 x 25) = 0.
It is quite possible that 24 of these numbers may be positive and if their sum is a then 25th number is (-a)
Answer is 24 (B)
Answer: B
Question: The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average?
Options:
A)69
B)70
C)71
D)72
E)75
Rationale: Sum of the marks for the 11 students = 11 * 36 = 396. The marks of each student are doubled, the sum also will be doubled.
The new sum = 396 * 2 = 792. So, the new average = 792/11 = 72.
ANSWER:D
Answer: D
Question: David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 160,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Options:
A)45,000
B)40,000
C)50,000
D)55,000
E)60,000
Rationale: let the rate be x, then population of the bacteria after each hour can be given as 2500, 2500x, 2500(x^2), 2500(x^3)
now population at 4pm =160,000
thus we have 2500(x^3) = 160,000 =64
thus x=4
therefore population at 3pm = 2500(16) = 40,000
Answer : B
Answer: B
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
Options:
A)6 hours
B)9 hours
C)10 hours
D)12 hours
E)15 hours
Rationale: If one car travelled 1/3, then the other car must have travelled only 2/3, as they are meeting after 6 hours in a certain point. So:
(2/3)XY= 6*y --> It took the car 6 hours to travel 2/3 of the distance at a constant speed y.
So if we solve this last equation:
2XY= 3*6*y= 9*y --> It will take this car 9 hours in total to reach its final destination.
Answer: B
Answer: B
Question: X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in?
Options:
A)days
B)days
C)days
D)1/2 days
E)days
Rationale: Explanation:
10/40 + 10/30 + 10/x = 1
x = 24 days
Answer: A
Answer: A
Question: The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks?
Options:
A)55.65
B)57.5
C)62.5
D)45.25
E)50
Rationale: correct avg marks = 60+(15-90)/30
avg = 60-2.5 = 57.5
Answer is B
Answer: B
Question: A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is
Options:
A)8 years
B)2 years
C)7 years
D)8 years
E)5 years
Rationale: Let's Son age is x, then Father age is x+22.
=> 3(x+3) = (x+22+3)
=> 3x+9 = x+25
=> 2x = 16 years = 8 YEARS
Answer: D
Answer: D
Question: In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together?
Options:
A)253000
B)263000
C)273000
D)283000
E)293000
Rationale: ENGINEERING
total 11 letters
E=3,N=3,G=2,I=2,R=1,
Total no. of ways = 11!/3!3!2!2! = 277200
when vowels come together = (EEEII)NNNGGR => 7!/3!2! * 5!/3!2! = 4200
No. of ways when vowels DO NOT together = 277200 - 4200 = 273000
ANSWER:C
Answer: C
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?
Options:
A)White
B)BLUE
C)PINK
D)ORANCE
E)BLACK
Rationale: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of charcoal is 'Black' but in coding language, 'Black' is called 'White'.
ANSWER: A
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Options:
A)18
B)30
C)64
D)20
E)216
Rationale: Arrangement means permutations questions..
5P3 = 5!/3! = 20
.
ANS option D is correct answer..
Answer: D
Question: What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Options:
A)60.
B)85.
C)125.
D)225.
E)It cannot be determined from the information given
Rationale: Length of one side= 15 (20-5)
Since, its a square, the area will be G= 15^2= 225
D is the answer
Answer: D
Question: The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is
Options:
A)76 years
B)78 years
C)86 years
D)16 years
E)46 years
Rationale: ANSWER: A
Answer: A
Question: If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have?
Options:
A)12
B)24
C)48
D)60
E)55
Rationale: Say farmer has n goat and he is good for d days.:-
We have 3 equations given in question:-
(n-15) * d+4 =(n+20) *(d-3) = n * d
Solving these: (You can solve 1st and 3rd and 2nd and 3rd together)
We get:
20d-3n=60
4n-15d =60
=> n=60
Ans D it is!
Answer: D
Question: As a bicycle salesperson, John earns a fixed salary of $10 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
Options:
A)II,III only
B)I,III only
C)I,II only
D)II only
E)I only
Rationale: II. y>x --> since this week, John earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);
III. y>3 --> if John sold 3 bicycles this week then this week he earned 10+3*6=$28, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $10. So y must be more than 3;
I. y<2x --> is not always true.
Answer: A
Answer: A
Question: I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ?
Options:
A)6 hours
B)5 hours
C)2 hours
D)4 hours
E)3 hours
Rationale: C
3 hours
Explanation :
(1/4 + 1/6 - 1/12) ^ (-1)
= (1/3)^(-1) = 3
Answer: E
Question: The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive?
Options:
A)15
B)125
C)25
D)75
E)50
Rationale: So, according to A mean of a set of even numbers from 0 to 100 =(0+100)/2=50 and mean of a set of even numbers from 0 to 50 =(0+50)/2=25
Sum=50+25=75
Answer: D.
Answer: D
Question: The forth proportional to 15,30,45 is?
Options:
A)100
B)45
C)90
D)75
E)100
Rationale: Let the fourth proportional to 15,30,45 be x
then 15:30::45:x
15x = 30*45
x = 90
Answer is C
Answer: C
Question: (4 x 10^4) + (2 x 10^2) + (4 x 10) =
Options:
A)302400
B)32400
C)40240
D)3240
E)324
Rationale: When you multiply a number by 10 you just add a zero
=> 4 x 10^4 => add 4 zeros => 4 x 10^4 = 40000
=>2 x 10^2 = 200
=> 4 x 10 = 40
=>4 x 10^4 + 2 x 10^2 + 4 x 10 = 40000 + 200 + 40 = 40240
=> answer is C ( 40240)
Answer: C
Question: Souju's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is her present age?
Options:
A)25 years
B)27years
C)30 years
D)42 years
E)66 years
Rationale: Let the age before 10 years =x. Then,
150x/100=x+10
â‡’150x=100x+1000
â‡’x=1000/50=20
Present age =x+10=20+10=30
ANSWER:C
Answer: C
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?
Options:
A)22
B)28
C)120
D)287
E)278
Rationale: Let speed of the car = x kmphThen speed of the train = (100+50)100x=150100x=32x kmphTime taken by the car to travel from A to B=75x hoursTime taken by the train to travel from A to B=75(32x)+12.560 hoursSince Both start from A at the same time and reach point B at the same time75x=75(32x)+12.56025x=12.560x=25×6012.5=2×60=120
Answer : C
Answer: C
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 874 in 4 years. The sum is:
Options:
A)s. 650
B)s. 638
C)s. 698
D)s. 700
E)s. 760
Rationale: S.I. for 1 year = Rs. (874 - 815) = Rs. 59.
S.I. for 3 years = Rs.(59 x 3) = Rs. 177.
Principal = Rs. (815 - 177) = Rs. 638.
Answer: Option B
Answer: B
Question: Sandy had $140 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Options:
A)$180
B)$200
C)$220
D)$240
E)$260
Rationale: Let the money Sandy took for shopping be x.
0.7x = 140
x = 200
The answer is B.
Answer: B
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 6 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
Options:
A)2:33 pm
B)2:45 pm
C)2:54 pm
D)3:06 pm
E)3:12 pm
Rationale: The question is asking when the first clock will have chirped 18 times (3*6 chirps).
The first clock chirps once every 3 minutes.
If the first chirp is at 2:03, then the 18th chirp is at 54 minutes after 2:00.
The answer is C.
Answer: C
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Options:
A)55 %
B)26 %
C)44%
D)32 %
E)16 %
Rationale: Explanation:
Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
C.P. of 30 articles = Rs.(5/6*30)=Rs.25
S.P. of 30 articles = Rs.(6/5*30)=Rs.36
Gain %=(11/25*100)%=44%
ANSWER:C
Answer: C
Question: The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?
Options:
A)18
B)20
C)22
D)23
E)25
Rationale: Let the total number of workers be y.
So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.
7 x 1000 + 780(y -7) = 850 y
⇒ 7000 + 780y - 5460 = 850y
⇒ 70y = 1540
∴ y = 22
So total number of workers = 22
C
Answer: C
Question: A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 11 cards?
Options:
A)1/11
B)2/11
C)2/33
D)4/55
E)5/66
Rationale: The average of the numbers is 6
The total number of ways to choose 2 cards from 11 cards is 11C2 = 55.
The ways to choose 2 cards with a sum less than the average are:
{1,2},{1,3},{1,4},{2,3}
The probability is 4/55
The answer is D.
Answer: D
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options:
A)2/15
B)3/17
C)5/26
D)4/19
E)5/21
Rationale: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Options:
A)453
B)568
C)155
D)150
E)171
Rationale: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time)
= (50/3 * 9) m
= 150 m.
Answer: D
Answer: D
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack four shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Options:
A)3/7
B)3/14
C)10/35
D)5/28
E)4/21
Rationale: The total number of ways to choose 4 shirts from 7 is 7C4 = 35
The number of ways to choose a pink shirt plus 3 shirts from 5 is 5C3 = 10
P(a pink shirt but not a blue shirt) = 10/35 = 2/7
The answer is C.
Answer: C
Question: A bakery currently has 8 pies and 3 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Options:
A)3/7
B)5/7
C)4/11
D)7/11
E)23/33
Rationale: The total number of ways to choose 5 from 11 is 11C5 = 462.
The number of ways that include 3 pies is 8C3*3C2 = 56*3 = 168
P(exactly 3 pies) = 168/462 = 4/11
The answer is C.
Answer: C
Question: x% of y is y% of ?
Options:
A)x/y
B)2y
C)x
D)1
E)can’t be determined
Rationale: x/100*y = y/100*(?)
So, x is the answer.
ANSWER:C
Answer: C
Question: A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of :
Options:
A)Rs. 80
B)Rs. 115.20
C)Rs. 120
D)Rs. 125.40
E)None of these
Rationale: Solution
For an income of Rs. 10, investment = Rs. 96.
For an income of Rs. 12, investment = Rs.(96/12x12) = Rs. 115.20.
Answer B
Answer: B
Question: In how many Q ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
Options:
A)288
B)Q=144
C)Q=12
D)Q=48
E)96
Rationale: 4 white chess pieces can be arranged in 4! ways and 4 black pieces can be arranged in 3 ! ways.
W_W_W_W
Number of ways = 4!*3! = 24 * 6 = 144
Answer B
Answer: B
Question: 4, 10, (?), 82, 244, 730
Options:
A)26
B)28
C)40
D)48
E)50
Rationale: Explanation :
4 × 3 - 2 = 10
10 × 3 - 2 = 28
28 × 3 - 2 = 82
82 × 3 - 2 = 244
244 × 3 - 2 = 730
Answer : Option B
Answer: B