divelab/Sys2Bench huggingface dataset:
Question: A password of a computer used four digits where they are from 0 and 9. What is the probability that the password only consists of even numbers?
Options:
A)1/4
B)1/16
C)1/32
D)1/400
E)1/800
Rationale: There are five possibilities out of ten that the each digit is even, so the overall probability is 1/2 * 1/2 * 1/2 * 1/2 (answer B)
Answer: B
Question: In a certain alphabet, 10 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Options:
A)6
B)8
C)14
D)20
E)28
Rationale: We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).
First we find the total # of letters with lines: 10+24 = 34;
Next, we find the total # of letters without line: 40 - 34 = 6;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 6 - 0 = 6.
A
Answer: A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Options:
A)298 m
B)279 m
C)500 m
D)289 m
E)287 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: C
Answer: C
Question: John had a stock of 1100 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
Options:
A)50.4%
B)63.4%
C)66.5%
D)34.9%
E)43.5%
Rationale: Let N be the total number of books sold. Hence
N = 75 + 50 + 64 + 78 + 135 = 402
Let M be the books NOT sold
M = 1100 - N = 1100 - 402 = 698
Percentage
Books not sold / total number of books = 698/1100 = 0.634 = 63.4%
correct answer B
Answer: B
Question: If 22^n is a divisor of 97!+98! ,what is the maximum possible value of integer n?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: 22^n means power of 11 as 2 would surely have more power than 11 in a factorial..
97!+98!=97!(1+98)=97!*99....
99 will have ONE 11 and 97! will have 97/11 or 8..
Total 1+8=9
ANSWER:B
Answer: B
Question: If a number 105 divides into n with no remainder, which of the following must be a factor of n?
Options:
A)2
B)4
C)6
D)7
E)11
Rationale: 105 / n = k (with k an integer)
(7)(5)(3) / n = k
n must have a 7 in his prime factorization to divide 105 without remainder.
answer D
Answer: D
Question: How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5280, 6336
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: A number is divisible by 132, if it is divisible by each one of 11, 3 and 4.
Clearly, 968 is not divisible by 3. None of 462 and 2178 is divisible by 4.
Each one of remaining 5 is divisible by each one of 11, 3 and 4 and therefore, by 132.
ANSWER:B
Answer: B
Question: A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years?
Options:
A)9,800
B)11,800
C)10,800
D)17,800
E)20,800
Rationale: 500 TV sets were produced in the third year than in the second year. The number of sets produced in the third year is equal to
4,500 + 500 = 5,000
The number of TV sets produced in three years is equal to sum of the number of TV sets produced in each year
2,300 + 4,500 + 5,000 = 11,800
correct answer B
Answer: B
Question: A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4500 as profit , what is their total profit?
Options:
A)28000
B)30000
C)31500
D)34000
E)None of these
Rationale: Explanation :
Suppose B's investment = x. Then A's investment= 3x
Suppose Bs period of investment = y, then A's period of investment = 2y
A : B = 3x * 2y : xy
= 6 : 1
Total profit * 1/7 = 4500
=> Total profit = 4500*7 = 31500. Answer : Option C
Answer: C
Question: If the sum of a number and its square is 240, what is the number?
Options:
A)15
B)26
C)28
D)91
E)none of these
Rationale: Let the number be x. Then,
x + x2 = 240
(x + 16)(x - 15) = 0
x = 15
ANSWER:A
Answer: A
Question: The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is
Options:
A)Rs.4325
B)Rs.5324
C)Rs.3425
D)Rs.5342
E)Rs.5442
Rationale: p== 4000
r== 10
y== 3
so,, 1st intrest 4000+400==4400
2nd 4400+440== 4840
3rd year 4840+484==5324
ANSWER:B
Answer: B
Question: In a basketball game, Dhoni scored 30 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 150 points, how many points did Dhoni score?
Options:
A)50
B)52
C)35
D)40
E)45
Rationale: Let Dravid scored point = x
Then Dhoni Scored = x+30
Shewag Scored = 2*(x+30) = 2x+60
As given, x+x+30+2x+60 = 150 points
4x+90 = 150
x = 150-90/4 = 15
So Dhoni Scored = x +30 i.e) 15+30 = 45
Answer : E
Answer: E
Question: Let A be a natural number consisting only 1. B is another natural number which is equal to quotient when A is divided by 13. C is yet another natural number equal to the quotient when B is divided by 7. Find B-C.
Options:
A)4586
B)5648
C)6485
D)7326
E)8564
Rationale: let A=111111 when which is divide by 13 we get quotient 8547 and remainder=0 {111111 is 1st no. which is divisible by 13}.
this quotient is equal to i.e B=8547
and c equal to quotient of B when it is divided by 7
then we get C=1221
now B-C=8547-1221=7326.
ANSWER:D
Answer: D
Question: For any 7 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
II. Dividing each of the numbers by 3 and then adding the results together.
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9.
Options:
A)I only
B)II only
C)I and II only
D)II and III only
E)None of the above
Rationale: Let the 3 numbers be x, y and z.
Question: Which of the following is equivalent to (x + y + z)/3
I. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number. --> Not always equivalent Eg: 111 and 141
II. Dividing each of the numbers by 3 and then adding the results together. --> x/3 + y/3 + z/3 = (x + y + z)/3 --> Equivalent
III. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by 9. --> (6x + 6y + 6z)/9 = 2(x + y + z)/3 --> Not equivalent
Answer: C
Answer: C
Question: The unit digit in the product 4556*3432*4581*2784 is?
Options:
A)8
B)1
C)2
D)3
E)4
Rationale: Unit digit in the given product = unit digit in 6*2*1*4 = 8
Answer is A
Answer: A
Question: The sale price sarees listed for Rs.480 after successive discount is 15% and 25% is?
Options:
A)298
B)237
C)306
D)876
E)291
Rationale: 480*(85/100)*(75/100)
= 306
Answer: C
Answer: C
Question: A thief is spotted by a policeman from a distance of 100 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Options:
A)350m
B)200m
C)400m
D)500m
E)None of them
Rationale: Relative speed of the policeman = (10-8) km/hr =2 km/hr.
Time taken by police man to cover
(100m/1000) x 1/2 hr = 1/20 hr.
In 1/20 hrs, the thief covers a distance of 8 x 1/20 km = 2/5 km = 400 m
Answer is C.
Answer: C
Question: A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $106 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
Options:
A)8%
B)47%
C)45%
D)52%
E)56%
Rationale: (9/106)/(3/20) = 30/54 = 56,6% it means that 9/106 represents only 56,6%. Therefore a decrease of 47%.
Answer B
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
Options:
A)12 kmph
B)13 kmph
C)14 kmph
D)15 kmph
E)16 kmph
Rationale: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 45/3 = 15 kmph
ANSWER:D
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Options:
A)270
B)279
C)276
D)271
E)272
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
Answer: A
Question: A rod of length 30 feet is broken into two pieces. The longer rod is 12 feet longer than the shorter one. What is the length of the shorter rod?
Options:
A)15
B)12
C)8
D)9
E)16
Rationale: Since, 30 is the total length. Smaller is any one from answers.
Try Back solving from Middle answer, i.e. 8. 8+(8+12) = 28 < 30
Hence, Select next bigger no. : 9 +(9+12) =30. So, 9 is the answer
Answer is D
Answer: D
Question: Calculate how long it will take a swimmer to swim a distance of 7km against the current of a river which flows at 2.5km/hr, given that he can swim in still water at 4.4km/h
Options:
A)6.67
B)1.67
C)2.67
D)3.67
E)4.67
Rationale: swim in still water at = 4.4
speed of river= 2.5
US = 4.4 - 2.5= 1.9
Distance = 7
T = 7/1.9 = 3.67
Answer: D
Answer: D
Question: How many 7 in between 1 to 80?
Options:
A)18
B)20
C)22
D)23
E)24
Rationale: 7,17,27,37,47,57,67,
70,71,72,73,74,75,76,77(two 7's),78,79
18 7's between 1 to 80
ANSWER:A
Answer: A
Question: Working alone at its constant rate, machine A produces x boxes in 10 minutes and working alone at its constant rate, machine B produces 2x boxes in 5 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce 6x boxes?
Options:
A)3 minutes
B)4 minutes
C)5 minutes
D)6 minutes
E)12 minutes
Rationale: Rate = Work / Time
Given Rate of Machine A = X / 10 min
Machine B Produces 2x boxes in 5 min hence , Machine B produces 4x boxes in 10 min .
Rate of Machine B = 4x / 10
we need tofind the combined time that machines A and B, working simultaneouslytakeat their respective constant rates
let's first find the combined Rate of Machine A and B
Rate of Machine A = X / 10 min + Rate of Machine B = 4x / 10 = 5X/10
Now combine Time = combine work needs to be done / Combine Rate = 6x/5x * 10 = 12 Min
Ans: E
Answer: E
Question: Party of 5 women and 5 men.
A committee consists of 3 women and 2 men
The total number of ways to form this committee.
Options:
A)80
B)90
C)100
D)110
E)120
Rationale: 5C3*5C2=100
ANSWER:C
Answer: C
Question: A factory employs skilled workers, unskilled workers and clerks in the proportion 8 : 5 : 1 and the wage of a skilled worker, an unskilled worker and a clerk are in the ratio 5 : 2 : 3. When 20 unskilled workers are employed, the total daily wages of all amount to Rs. 3180. Find the daily wages paid to each category of employees.
Options:
A)Rs. 2100, Rs. 800, Rs. 280.
B)Rs. 2400, Rs. 480, Rs. 300.
C)Rs. 2400, Rs. 600, Rs. 180.
D)Rs. 2200, Rs. 560, Rs. 420
E)None of these
Rationale: Skilled workers, unskilled workers and clerks are in the proportion 8 : 5 : 1
Given 20 unskilled workers, So 5/14 x K = 20, K = 56,
Therefore there are 32 skilled workers, 20 unskilled workers and 4 clerks
Ratio of amount of 32 skilled workers, 20 unskilled workers and 4 clerks
= 5 x 32 : 2 x 20 : 3 x 4
= 160 : 40 : 12 or 40 : 10 : 3
Now, divide Rs 3,180 in the ratio 40 : 10 : 3
We get, Rs. 2400, Rs. 600, Rs. 180.
ANSWER:C
Answer: C
Question: A and B are mixed together in the ratio 9 : 11. What is the weight of mixture, if 26.1 kg of A has been consumed in it?
Options:
A)56
B)45
C)58.2
D)58
E)46
Rationale: Explanation :
For 9 kg A, mixture = (9 + 11) kg.
For 26.1 kg A, mixture = ((20/9) x 26.1)kg = 58 kg.
Answer : D
Answer: D
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets?
Options:
A)40%
B)50%
C)65%
D)68%
E)70%
Rationale: Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 120 - (60)
= 60
Now, we need to calculate 60 is what percent of 120.
=> 60/120 * 100 = 50%
B
Answer: B
Question: In the city of San Durango, 60 people own cats, dogs, or rabbits. If 36 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?
Options:
A)2
B)4
C)7
D)12
E)32
Rationale: Total = C + D + R - (CD + DR + CR) - 2CDR
60 = 36 + 40 + 10 - (12) - 2x
x = 7
So, answer will be C
Answer: C
Question: Find the missing number of the following series?
16 8 24 12 36 18 54 ? 81
Options:
A)22
B)22
C)86
D)27
E)61
Rationale: D
27
16/2 = 9
8*3 = 24
24/2 = 12
12*3 = 36
36/2 = 18
18*3 = 54
54/2 = 27
27*3 = 81
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Options:
A)5529
B)5529
C)5550
D)5528
E)5122
Rationale: Total production of salt by the company in that year = 5000 + 5100 + 5200 + .... + 6100
= 66600.
Average monthly production of salt for that year = 66600/12
= 5550.
Answer: C
Answer: C
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 18 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)1/90
Rationale: If it takes 18 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/18 = 10. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases = 10. Now, we need to figure out the total # of cases.
The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3 = 900
So, the probability that the police will find the transmitter within three hours = 10/900 = 1/90. Option E
Answer: E
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Options:
A)4:6
B)4:3
C)4:9
D)4:7
E)4:4
Rationale: Let us name the trains A and B.
Then, (A's speed) : (B's speed)
= √b : √a = √16 : √9 = 4:3
Answer:B
Answer: B
Question: In 1990 a total of s earthquakes occurred worldwide, some but not all of which occurred in Asia. If t o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Options:
A)s/t
B)t/s
C)t/(s-t)
D)s/(s-t)
E)1- (t/s)
Rationale: We're given a couple of facts to work with:
1) There were a total of s earthquakes
2) Of those earthquakes, t of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
s = 5 total earthquakes
t = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for s and t and find the match...
Answer A: s/t = 5/2 NOT a match
Answer B: t/s = 2/5 NOT a match
Answer C: t/(s-t) = 2/(5-2) = 2/3 This IS a match
Answer D: s/(s-t) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (t/s) = 1-2/5 = 3/5 NOT a match
C
Answer: C
Question: If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who do not own cars?
Options:
A)3⁄20
B)11⁄60
C)3⁄10
D)1⁄3
E)11⁄20
Rationale: Consider a group of 100 men and 200 women, a total of 300 people. 30% of them, which is 90, form a group of people who don't own a car.
Half of them are men, and the other half are women, more precisely 45.
It means that men who own a car represent 45/300 = 3/20 of the total.
Answer A
Answer: A
Question: What will be the compound interest on a sum of Rs. 15000 after 3 years at the rate of 12% p.a.?
Options:
A)s.10123.22
B)s.5823.20
C)s.9123.20
D)s.7256.20
E)s.6073.92
Rationale: Explanation:
Amount = [15000 * (1 + 12/100)3]
= 15000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20
C.I. = (35123.20 - 15000) = Rs. 6073.92
Answer:E
Answer: E
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 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. The speed of the car is?
Options:
A)176 km/hr
B)189 km/hr
C)175 km/hr
D)197 km/hr
E)109 km/hr
Rationale: Let speed of the car be x km/hr.
Then, speed of the train = 150/100 x = 3/2 x km/hr.
75/x - 75/(3/2 x) = 125/(10 * 60)
75/x - 50/x = 5/24 = 120 km/hr.
Answer:C
Answer: C
Question: Apples are bought at 7 for Rs. 9/- and sold at 9 for Rs. 7/-. Find the gain or loss percentage?
Options:
A)36.59% Gain
B)36.59% Loss
C)39.506% Loss
D)39.506% Profit
E)None of these
Rationale: Explanation:
7 Apples -----> 9/-
9 Apples ----> 7/-
Note: In every time same in the cost price articles and selling price articles.
9(7 9) ==> 63 81 = Cost price
7 (9 7) ==> 63 49 = Selling price
Then, 32/81 × 100 = 3200/81 = 39.506% Loss
Answer: Option C
Answer: C
Question: What percent of 5 letter combinations that can be made from the letters of the word JERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
Options:
A)20%
B)23.8%
C)25%
D)30.2%
E)35%
Rationale: a) noof combinations when all 5 letters are different = 7*6*5*4*3
b) noof combinations when first letter is vowel and last is consonant = 2c1*5c1*5*4*3
b/a = 5/21= 0.238
B
Answer: B
Question: A bookseller has two display windows. She plans to display 3 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the three fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
Options:
A)24
B)72
C)44
D)36
E)20
Rationale: Two displays books could be arranged n! # of total arrangements are combinations multiplied together,
3!*3! =6*6=36
Answer is D
Answer: D
Question: A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price w of the machine?
Options:
A)	81
B)	100
C)	120
D)	135
E)	160
Rationale: Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.
Let's start by TESTing Answer C: $120....
If.....
Retail Price w= $120
10% discount off = $120 - (.1)(120) = 120 - 12 = 108
20% profit on wholesale price = 90 + (.2)(90) = 90 + 18 = 108
These two numbers MATCH, so this MUST be the answer!
Final Answer:
[Reveal]Spoiler:
C
Answer: C
Question: A rope of which a calf is tied is increased from 9 m to 23 m, how much additional grassy ground shall it graze?
Options:
A)1218
B)1212
C)1408
D)2707
E)2591
Rationale: π (232 – 92) =1408
Answer: C
Answer: C
Question: A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
Options:
A)1
B)6
C)7
D)5
E)43
Rationale: A's 1 day work = 1/10; B's 1 day work = 1/15
(A + B)'s 1 day work = (1/10 + 1/15) = 1/6
So, both together will finish the work in 6 days.
Answer: B
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
Options:
A)0.4869
B)0.5904
C)0.6234
D)0.5834
E)0.2952
Rationale: P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36) = 0.5904
ANSWER:B
Answer: B
Question: The difference between simple interest and compound interest on Rs.1200 for one year at 10% per annum reckoned half yearly is
Options:
A)Rs.2.50
B)Rs.3
C)Rs.4
D)Rs.3.75
E)None
Rationale: Solution
S.I	= Rs.(1200x10x1/100)
Rs.120.
C.I	=Rs[(1200x1+5/100)² -1200]
Rs.123.
Difference	= Rs.[123-120]
Rs. 3.
Answer B
Answer: B
Question: a.	In a class of 11, the teacher shares some oranges to all the pupils following the below progressive pattern:
1, 2, 4, 7, 8, 10, 13, 14, 16, 19, ?
How many oranges will the 10th person get?
Options:
A)20
B)18
C)22
D)24
E)23
Rationale: The sequence progresses +1, +2, +3 repeated; The 10th Person get 20 Oranges.
Ans A = 20
Answer: A
Question: Goldenrod and No Hope are in a horse race with 5 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Options:
A)120
B)60
C)120
D)24
E)21
Rationale: All 5 horses can finish the race in 5! way (assuming no tie).
If no tie is possible between No Hope and Goldenrod, then in half of these cases No Hope will be before Goldenrod and in half of these cases after (not necessarily right before or right after). How else? So, there are 5!/2=60 different arrangements of finishes where No Hope always finishes before Goldenrod.
Answer: B.
Answer: B
Question: When a certain number X is divided by 143, the remainder is 51. Which of the following numbers, if added to X, would result in a number divisible by 13?
Options:
A)7
B)1
C)34
D)47
E)55
Rationale: Now X= 143q + 51 = 11*13*q + 51..so we have to make only 51 div by 13..
51 + 1 = 52 YES 1 to be added
ans B
Answer: B
Question: The age of the father 10 years ago was thrice the age of his son. Ten years hence, father’s age will be twice
that of his son. The ratio of their present ages is
Options:
A)5 : 2
B)7 : 3
C)9 : 2
D)13 : 4
E)1:2
Rationale: let x be present age of father and y be present age of son
then
ten yrs before
x-10=3(y-10)------->i
ten yrs hence
x+10=2(y+10)------->ii
now
(i)-(ii)=x-10-x-10=3y-30-2y-20
=20=y-50
=30=Y
therefore x=70
Ratio
x:y
=7:3 answer : B
Answer: B
Question: Joshua and Jose work at an auto repair center with 5 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Options:
A)1/21
B)1/12
C)1/9
D)1/6
E)1/3
Rationale: Two Methods
1) Probability of chosing Josh first = 1/7
Probability of chosing Jose second = 1/6
total = 1/42
Probability of chosing Jose first = 1/7
Probability of chosing Josh second = 1/6
Total = 1/42
Final = 1/42 + 1/42 = 1/21
A
Answer: A