divelab/Sys2Bench huggingface dataset:
Question: A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 60% have red flags, what percentage of children have flags of both the colors?
Options:
A)5%
B)10%
C)15%
D)20%
E)It can not be determined
Rationale: Solution: let the total number of flags be 100(even number)
let the total number of 'blue' flags alone be 'a'
let the total number of 'red' flags alone be 'b'
let the total number of 'both' flags be 'c'
We have given,
total number of blue flags = 60% = 60 = a+c
total number of red flags=55%=55=b+c
total number of flags = a+b+c=100 (since all the flags have been utilized)
So, substituting for c in the third equation, we have,
60-c+c+60-c=100
c=20
Option D.
Answer: D
Question: You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?
Options:
A)helicopter man stop it
B)you stop it
C)man go to stop it.
D)no idea
E)data irrelevant
Rationale: You ask the man of the merry-go-round to stop it.
Answer C
Answer: C
Question: Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Nickles’s pocket?
Options:
A)9
B)10
C)18
D)112
E)116
Rationale: E.
Let number of quarters be q. Therefore , dimes are 3q and nickels are 18q.
Total value = 18q(.05) + 3q(0.1) + .25q =1.45q
Given total value = 10.15
therefore, 1.45q=10.15 or q=7
Number of dimes = 18q or 116
Answer : E
Answer: E
Question: How much 90% of 40 is greater than 80% of 30?
Options:
A)12
B)14
C)16
D)17
E)18
Rationale: (90/100) * 40 – (80/100) * 30
36 - 24 = 12
Answer: A
Answer: A
Question: A batsman scored 18 runs in his 18th innings and that makes his average 18. Find his average upto the 17th innings?
Options:
A)17
B)18
C)19
D)20
E)21
Rationale: total innings=18
avg=18
so total run at 18th innings is 18*18=324
total at 17th inning=324-18=306
now 306/17=18
ANSWER:B
Answer: B
Question: There are ten different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
Options:
A)72
B)48
C)64
D)24
E)8
Rationale: Since we have 3 continental pairs (EU, SA, NA), these 3 pairs have 3*2*1 = 8 Combinations. Within each pair, you have however 2 different ways to put them together for each of the pair (2*2*2 = 8). So we have 8*8 = 64.
Please correct me if im wrong.
Answer C.
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Options:
A)33/99
B)33/91
C)36/91
D)33/97
E)33/33
Rationale: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is
= 33/91
Answer: B
Answer: B
Question: Five women can do a work in ten days. 7 men can complete the same work in 5 days. What is the ratio between the capacity of a man and a woman?
Options:
A)10:7
B)11:10
C)2:3
D)3:2
E)None of these
Rationale: Explanation:
(50 Ã— 10) women can complete the work in 1 day.
âˆ´ 1 woman's 1 day's work = 1/50
(7 Ã— 5) men can complete the work in 1 day.
âˆ´ 1 man's 1 day's work = 1/35
so, required ratio =1/50 : 1/35= 10:7
Answer: A
Answer: A
Question: Last year the price per share of Stock N increased by a percent and the earnings per share of Stock N increased by b percent, where a is greater than b. By what percent did the ratio of price per share to earnings per share increase, in terms of a and b?
Options:
A)100*(a-b) %
B)100*(a-b)/(100+b) %
C)(100+b) %
D)(a-b)/(100+b) %
E)a/b %
Rationale: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases
After the increase the new price is: P*(1+a/100) and the new earning is: E*(1 +b/100)
The new P/E is: (1+a/100)P/(1+b/100)E
The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:
[(1+a/100)/(1+b/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:
100*(a-b)/(100+b) %
Answer : B
Answer: B
Question: In a 100 m race,A covers the distance in 36 seconds and B in 45 second.In this race A beats B by :
Options:
A)20 m
B)25 m
C)22.5 m
D)9 m
E)None of these
Rationale: Solution
Distance covered by B in 9 sec. = (100/45x9)m =20m.
∴ A beats B by 20 metres.
Answer A
Answer: A
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Options:
A)Rs.256.21
B)Rs.256.76
C)Rs.256.29
D)Rs.256.82
E)Rs.256.25
Rationale: Explanation:
Let the principal be Rs.P
S.I at 5% p.a in 8 years on Rs.P = Rs.500
(P)(8)(5)/100 = 500
P = 1250
C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years
=2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}
= 2500/400(441 - 400)
= 25/4(41) = 1025/4 = Rs.256.25
Answer: E
Answer: E
Question: What is the least common multiple of 15, 16, and 24?
Options:
A)60
B)120
C)240
D)360
E)720
Rationale: Let us first write the numbers in the form of prime factors:
15 = 3*5
16 = 2^4
24 = 2 * 17^1
The LCM would be the largest powers of the prime numbers from all these three numbers.
Hence LCM = 240
Option C
Answer: C
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 2 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Colleen, working alone, to complete the entire job?
Options:
A)8 hours
B)10/3 hours
C)12 hours
D)16 hours
E)20 hours
Rationale: A+B+C complete the job in 2 hours.
A+B complete the job in 5 hours.
A+B and C complete the job in 2 hours -->1/(A+B) + 1/C = 1/2-->1/5+1/C=1/2 ----> C=10/3 hours. ANS B
Answer: B
Question: In a certain code language, '3a, 2b, 7c' means 'Truth is Eternal';
'7c, 9a, 8b, 3a' means 'Enmity is not Eternal' and
'9a, 4d, 2b, 8b' means 'Truth does not perish'.
Which of the following means 'enmity' in that language ?
Options:
A)3
B)9
C)8
D)6
E)2
Rationale: Explanation:
Justification:
In the second and third statements, the common code is '9a' and the common word is 'not'.
So, '9a' means 'not'.
In the first and second statements, the common codes are '7c' and '3a' and the common words are 'is' and 'Eternal'.
So, in the second statement, '8b' means 'enmity'.
Answer: C) 8b
Answer: C
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
Options:
A)11 1/8
B)11 1/4
C)11 1/1
D)11 1/2
E)11 1/9
Rationale: Explanation:
3/12 + x/15 = 1
x= 11 1/4
Answer:B
Answer: B
Question: What positive number, when squared, is equal to the cube of the positive square root of 17?
Options:
A)64
B)32
C)8
D)4
E)2
Rationale: Let the positive number be x
x^2 = ((17)^(1/2))^3
=>x^2 = 4^3 = 64
=> x = 8
Answer C
Answer: C
Question: Find the odd man out. 30, -5, -45, -90, -145, -195, -255
Options:
A)-5
B)-145
C)-255
D)-195
E)-90
Rationale: Explanation :
30
30 - 35 = -5
-5 - 40 = -45
-45 - 45 = -90
-90 - 50 = -140
-140 - 55 = -195
-195 - 60 = -255
Hence, -145 is wrong. -140 should have come in place of -145
Answer : Option B
Answer: B
Question: Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother." How is the girl related to Rita's friend ?
Options:
A)Cousin
B)Daughter
C)Niece
D)Friend
E)SISTER
Rationale: Explanation:
Daughter of brother-in-law — Niece;
Mother's niece — Cousin.
So, the girl is the cousin of Rita's friend.
Answer: A
Answer: A
Question: The average age of the district level hockey team of eleven is 25 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Options:
A)36 yrs.
B)37 yrs.
C)34 yrs.
D)33 yrs.
E)32 yrs.
Rationale: Explanation:
Total age of players in team = 25 x 11 = 275
When coach is included, total members = 12, Avg age increases by one becomes 26
Total age when coach is included = 26x12 = 312
Age of coach = 312-275 = 37 yrs.
Answer: B
Answer: B
Question: A building of 6 floors is being painted by 2 painters, and they take 3 days to paint the first floor. If 3 men are then added to the work and all of them continue painting at the same rate, how many days take to them paint all the building, since the first day?
Options:
A)5 days
B)8 days
C)9 days
D)10 days
E)12 days
Rationale: We have that: 2 painters ----- 3 days, (2+3) P ----- X d, that is: (X d/ 2P) = (3 d/5P), then: X d = (3 d/5P)2P = (6/5)d. Is to say, the 5 painters paint the same quantity in 6/5 days; as it is only 1/6 of the building, all the building would be: B = 3 d + 5(6/5) d = (3 + 6) d = 9 days. Answer C.
Answer: C
Question: Set F consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set F?
Options:
A)5
B)6
C)56
D)46
E)1
Rationale: Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).
Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....
Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...
Putting the 7 numbers in order, we have:
-27, -3, -2, 2, 3, 15, 17
This means that the2will either be the 4th term or the 5th term (depending on the value of N).
IF....
N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5
N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0
Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....
IF....
N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.
E
Answer: E
Question: Ravid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Options:
A) 5/6*d
B) 7/3*d
C) 10/3*d
D) 7/2*d
E) 9/2*d
Rationale: Ravid has d books;
Jeff has d/3 books;
Paula has 2d books;
Total = d+d/3+2d=10d/3.
Answer: C.
Answer: C
Question: One night 15 percent of the female officers on a police force were on duty. If 300 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Options:
A)90
B)180
C)270
D)500
E)1,000
Rationale: Let total number of female officers in the police force = F
Total number of officers on duty on that night = 300
Number of female officers on duty on that night = 300/2 = 150
(15/100)*F =150
=>F = 1000
Answer E
Answer: E
Question: Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 18,000, what is Ramesh's share?
Options:
A)s. 6500
B)s. 7250
C)s. 8250
D)s. 9500
E)s. 11250
Rationale: Explanation:
Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5
Ramesh's share = Rs. (18000 x 5 / 8) = Rs. 11250
ANSWER: E
Answer: E
Question: How many three-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
Options:
A)None
B)One
C)Two
D)Three
E)Four
Rationale: The possible number N can be written as follow:
N = Multiple of LCM(6,10) + 1st such number
N = 30x + 1
Possible values = 1, 31, 61, 91,121,151,181,211,241,271.....991
Answer : None:A
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Options:
A)Rs. 650
B)Rs. 690
C)Rs. 698
D)Rs. 700
E)Rs. 710
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer: Option C
Answer: C
Question: Solution for 2.01+.3+.34
Options:
A)2.91
B)2.65
C)2.938
D)2.986
E)2.999
Rationale: 2.01+.3+.34=0
0=0-2.01-0.3-0.34
0=-2.65
answer :B
Answer: B
Question: The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?
Options:
A)11 months
B)9 months
C)7 months
D)10 months
E)NONE OF THESE
Rationale: Explanation:
7x5: 5xk = 7:10
k = 10 months
ANSWER IS D
Answer: D
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 60% of the total school population of x students, what is x?
Options:
A)122
B)150
C)225
D)250
E)500
Rationale: 90=x/100*60/100*x=>x^2 = 9*10000/6 = > x = 122
A
Answer: A
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Options:
A)Rs. 18.20
B)Rs. 70
C)Rs. 72
D)Rs. 88.25
E)Rs. 80
Rationale: Explanation:
C.P. = Rs.(100/122.5 x 392)= Rs.(1000*1225 x 392)= Rs. 320
Profit = Rs. (392 - 320) = Rs. 72.
ANSWER IS C
Answer: C
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?
Options:
A)13 m
B)14 m
C)15 m
D)16 m
E)17 m
Rationale: Explanation:
the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is=13mts.
ANSWER IS A
Answer: A
Question: Mr. Smitherly leaves Cedar Rapids at 8:00 a.m. and drives north on the highway at an average speed of 50 km per hour. Mr. Dinkle leaves Cedar Rapids at 9:00 a.m. and drives north on the same highway at an average speed of 60 km per hour. Mr. Dinkle will
Options:
A)overtake Mr. Smitherly at 10:30 a.m.
B)overtake Mr. Smitherly at 11:30 a.m.
C)overtake Mr. Smitherly at 2:00 p.m.
D)be 30 miles behind at 9:35 a.m.
E)never overtake Mr. Smitherly
Rationale: After one hour, Mr. Smitherly is ahead by 50 km.
Mr. Dinkle gains on Mr. Smitherly 10 km each hour.
Five hours after 9:00 a.m., Mr. Dinkle will catch Mr. Smitherly.
The answer is C.
Answer: C
Question: A 6-liter solution is 40% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
Options:
A)1.2
B)1.5
C)1.8
D)2.1
E)2.4
Rationale: Let x be the amount of pure alcohol required.
0.4(6) + x = 0.5(x+6)
0.5x = 3 - 2.4
x = 1.2 liters
The answer is A.
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?
Options:
A)9%
B)4%
C)3%
D)6%
E)7%
Rationale: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Answer: B
Question: Which of the following is equal to x!/(x-1)!?
Options:
A)x-1
B)1+(1/x)
C)1
D)x+1
E)x
Rationale: x! = (x -1)! * x
x!/(x-1)! = x
Answer: E
Answer: E
Question: For the set { 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?
Options:
A)1
B)(-3.5)^2
C)3
D)4
E)5
Rationale: Standard Deviation Step 1, as pointed out by others, is to find out the mean = 4.5
Step 2, For each number: subtract the Mean and square the result =
(1-4.5)^2=(-3.5)^2
(2-4.5)^2=(-2.5)^2
(3-4.5)^2 =(-1.5)^2
(4-4.5)^2=(.5)^2
(5-4.5)^2=(.5)^2
Clearly (1-4.5)^2=(-3.5)^2 will give you the greatest value among all the other options.
Hence B
Answer: B
Question: N and M are each 3-digit integers. Each of the numbers 1, 2, 3,4,5 and 6 is a digit of either N or M. What is the smallest possible positive difference between N and M?
Options:
A)59
B)49
C)58
D)113
E)131
Rationale: You have 6 digits: 1,2, 3, 4, 5, 6
Each digit needs to be used to make two 3 digit numbers. This means that we will use each of the digits only once and in only one of the numbers. The numbers need to be as close to each other as possible. The numbers cannot be equal so the greater number needs to be as small as possible and the smaller number needs to be as large as possible to be close to each other.
The first digit (hundreds digit) of both numbers should be consecutive integers
Now let's think about the next digit (the tens digit). To minimize the difference between the numbers, the tens digit of the greater number should be as small as possible and the tens digit of the smaller number should be as large as possible . So let's not use 1 and 6 in the hundreds places and reserve them for the tens places Now what are the options?
Try and make a pair with (2** and 3**). Make the 2** number as large as possible and make the 3** number as small as possible.
265 and 314 (difference is 49) or
Try and make a pair with (4** and 5**). Make the 4** number as large as possible and make the 5** number as small as possible. We get 463 and 512 (difference is 49)
B
Answer: B
Question: All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Options:
A)648
B)888
C)928
D)1184
E)None of these
Rationale: B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.
Quantity of water in B = 8k - 5k = 3k.
Quantity of water in container C = 8k - 3k = 5k
Container: A B C
Quantity of water: 8k 3k 5k
It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.
5k - 148 = 3k + 148 => 2k = 296 => k = 148
The initial quantity of water in A = 8k = 8 * 148 = 1184 liters.
ANSWER:D
Answer: D
Question: What is the average of four tenths and five thousandths
Options:
A)0.2022
B)0.3325
C)0.2025
D)0.2012
E)0.2114
Rationale: Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
Answer: C
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Options:
A)16 min
B)26 min
C)34 min
D)20 min
E)12 min
Rationale: Speed Ratio = 1:4/5 = 5:4Time Ratio
= 4:51 -------- 5 4 --------- ? è 20
Answer: D
Answer: D
Question: If u and v are two different prime numbers, which of the following cannot be true?
Options:
A)uv is odd.
B)u + v is even.
C)u + v is odd.
D)uv is even.
E)u/v is an integer
Rationale: A prime number is a positive integer with exactly two distinct positive divisors: 1 and itself. So, a prime number cannot be a multiple of another prime number. Which makes option E not possible (u/v=integer means that u is a multiple of v).
Answer: E.
All other options are possible:
A. uv is odd -->u=3 and v=5;
B. u + v is even -->u=3 and v=5;
C. u + v is odd -->u=2 and v=3;
D. uv is even --> u=2 and v=3;
E
Answer: E
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Options:
A)10.37 p.m
B)10.20 p.m
C)10.30 p.m
D)10.38 p.m
E)10.10 p.m
Rationale: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
3.30 + 7 h = 10.30 p.m.
Answer: C
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Options:
A)Sunday
B)Friday
C)Saturday
D)Monday
E)None of these
Rationale: Explanation :
Given that 8th Feb, 2005 was Tuesday
Number of days from 8th Feb, 2004 to 7th Feb, 2005 = 366
(Since Feb 2004 has 29 days as it is a leap year)
366 days = 2 odd days
Hence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday
Answer : Option A
Answer: A
Question: The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is $48. Then the sum is
Options:
A)$600
B)$1000
C)$1200
D)$1500
E)$2000
Rationale: 20% of (Year 1 Interest) = 20% of (20% of Principal) = 48
Principal = $1200
Answer (C)
Answer: C
Question: What is the height of the triangle?
I.	The area of the triangle is 20 times its base.
II.	The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
Options:
A)I alone sufficient while II alone not sufficient to answer
B)II alone sufficient while I alone not sufficient to answer
C)Either I or II alone sufficient to answer
D)Both I and II are not sufficient to answer
E)Both I and II are necessary to answer
Rationale: EXPLANATION
I. A = 20 x B ⇒1-div-1by2 x B x H = 20 x B⇒H = 40.
I alone gives the answer.
II gives, perimeter of the triangle = 40 cm.
This does not give the height of the triangle.
answer is (A).
Answer: A
Question: If jeya rows 21 km upstream and 56 km down steam taking 3 hours each, then the speed of the stream
Options:
A)1.5 kmph
B)0.2 kmph
C)0.3 kmph
D)0.4 kmph
E)0.5 kmph
Rationale: Speed upstream = 21/3 = 7 kmph
Speed down stream = 56/7 = 8 kmph
Speed of stream = ½ (8-7) = 0.5 kmph
ANSWER:E
Answer: E
Question: Dacid obtained 51, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Options:
A)29
B)38
C)39
D)70
E)75
Rationale: Average = (51 + 65 + 82 + 67 + 85)/5
= 70
Answer: D
Answer: D
Question: The population of a town is 7800. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Options:
A)9600
B)8000
C)8500
D)9500
E)10000
Rationale: Formula :
( After =100 denominator
Ago = 100 numerator)
7800 Ã— 100/90 Ã— 100/90 = 9629
A)
Answer: A
Question: In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/4 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
Options:
A) 1/18
B) 1/6
C) 1/3
D) 1/2
E) 7/12
Rationale: You can simply use sets concept in this question. The formula
Total = n(A) + n(B) - n(A and B) is applicable here too.
Set 1: Number 12 or larger
Set 2: Number 20 or smaller
1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)
2/3 + P(Set 2) - 1/4 = 1
P(Set 2) = 7/12
Answer (E)
Answer: E
Question: The largest 4 digit number exactly divisible by 90 is?
Options:
A)9935
B)9939
C)9944
D)9954
E)9990
Rationale: Largest 4-digit number = 9999
90) 9999 (111
9990
------------ Largest number divisible by 90 is 9990
Answer : E
Answer: E
Question: A man swims downstream 120 km and upstream 50 km taking 5 hours each time; what is the speed of the current?
Options:
A)3 kmph
B)7 kmph
C)13 kmph
D)6.5 kmph
E)7:3kmph
Rationale: Explanation:
120 --- 5 DS = 24
? ---- 1
50 ---- 5 US = 10
? ---- 1 S = ?
S = (24 - 10)/2 = 7
Answer: Option B
Answer: B
Question: A, B and C rents a pasture for Rs.841. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay?
Options:
A)270
B)279
C)226
D)231
E)232
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
8/29 * 841 = 232
Answer: E
Answer: E
Question: Find the number of different prime factors of 1250
Options:
A)4
B)2
C)3
D)5
E)6
Rationale: Explanation:
L.C.M of 1250 = 2 x 5 x 5 x 5 x 5
2, 5
Number of different prime factors is 2.
Answer: Option B
Answer: B
Question: A speed of 24 metres per second is the same as :
Options:
A)60.4 km/hr
B)86.4 km/hr
C)65 km/hr
D)68.5 km/hr
E)None
Rationale: Sol.
24 m/sec = [24 * 18/5] km/hr = 86.4 km/hr.
Answer B
Answer: B