divelab/Sys2Bench huggingface dataset:
Question: what is the probability of drawn an ace or a space or both from a dew of cards.
Options:
A)14/52
B)15/52
C)16/52
D)17/52
E)18/52
Rationale: There are 13 spades in a standard deck of cards.
There are four aces in a standard deck of cards.
One of the aces is a spade.
So, 13 + 4 - 1 = 16 spades or aces to choose from.
Since we have a total of 52 cards, the probability of selecting an ace or a spade is 16 / 52
ANSWER:C
Answer: C
Question: A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Options:
A)A)5
B)B)6
C)C)8
D)D)12
E)E)9
Rationale: Relative speed = 4 + 4 = 8 rounds per hour.
So, they cross each other 8 times in an hour and 4 times in half an hour.
Hence, they cross each other 12 times before 9.30 a.m.
ANSWER:D
Answer: D
Question: There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Options:
A)200
B)220
C)380
D)240
E)250
Rationale: Explanation:
The total number of stations = 20
From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.
²⁰P₂ = 20 * 19 = 380
C
Answer: C
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?
Options:
A)22377
B)27782
C)28000
D)25000
E)18771
Rationale: 28 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
28 = 1/100 * x => x = 28000
Answer: C
Answer: C
Question: 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
Options:
A)11
B)12
C)13
D)15
E)18
Rationale: if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required.
ANSWER:B
Answer: B
Question: A sports equipment store sold ping pong rackets for a total of $686. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Options:
A)50
B)100
C)70
D)500
E)980
Rationale: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $686
x = 70 pairs were sold.
ANSWER:C
Answer: C
Question: Which of the following fractions is greater than 4/5 and less than 9/10?
1. 4/5 2. 9/10 3. 1/2 4.3/4 5. 3/5 6. 8/9
Options:
A)4/5
B)9/10
C)1/2
D)3/4
E)3/5
Rationale: 4/5= 0.80, 9/10 = 0.90, 1/2= 0.5, 3/4= 0.75, 3/5=0.66, 1/10= 0.1.
Clearly, 0.75 lies between 0.80 and 0.90.
Therefore, 3/4 lies between 4/5 and 9/10.
Answer is D.
Answer: D
Question: An bus covers a certain distance at a speed of 100 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Options:
A)500 km/hr
B)640 km/hr
C)656 km/hr
D)731 km/hr
E)720 km/hr
Rationale: Distance = (100 x 5) = 500 km.
Required speed = 500 km/hr.
A
Answer: A
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
Options:
A)1 day
B)2 days
C)3 days
D)4 days
E)5 days
Rationale: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
Option 'A'
Answer: A
Question: The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 288 metres, what is its area?
Options:
A)1320 sq.metres
B)3260 sq.metres
C)4280 sq.metres
D)5040 sq.metres
E)None of these
Rationale: Let the length and breadth be 7x and 5x respectively.
Then, P = 2(7x + 5x) = 288 â‡’ x = 12
Area = 7 Ã— 12 Ã— 5 Ã— 12 = 5040 sq.m.
Answer D
Answer: D
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 39 minutes, then the slower pipe alone will be able to fill the tank in
Options:
A)144 mins
B)140 mins
C)136 mins
D)156 minw
E)None of these
Rationale: Explanation:
Let the slower pipe alone fill the tank in x minutes
then faster will fill in x/3 minutes.
Part filled by slower pipe in 1 minute = 1/x
Part filled by faster pipe in 1 minute = 3/x
Part filled by both in 1 minute =
1/x+3/x=1/39
=>4/x=1/39
x=39∗4=156 mins
Option D
Answer: D
Question: If each year the population of the country grows by 100%, how many years will elapse before the population of the country doubles?
Options:
A)1
B)4
C)5
D)6
E)7
Rationale: Till Year 2010, population is 100 .
Year 2001: Population becomes 200 ............. 1 Year elapsed
Answer:A
Answer: A
Question: If a and b are both odd numbers, which of the following is an even number?
Options:
A)a + b
B)a + b + 1
C)ab
D)ab + 2
E)NOne
Rationale: Sol.
Sum of two odd numbers is always even.
Answer A
Answer: A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)876 m
B)157 m
C)245 m
D)156 m
E)167 m
Rationale: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2
=> 2(130 + x) = 750 => x
= 245 m.
Answer: C
Answer: C
Question: If a and b are multiples of 6 then which are all the multiples of 6
1) a*b
2) a^b
3) a/b
4) a-b
5) a+b
Options:
A)1,2,4,5
B)2,3,4,5
C)1,3
D)all of these
E)1,2,5
Rationale: a*b a^b a+b a-b are multiples of 6 except a/b
ANSWER:A
Answer: A
Question: A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 2 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Options:
A)1/3
B)3/28
C)1/14
D)4/28
E)3/14
Rationale: 3/9*4/8*2/6*3! = 1/3 We are multiplying by 3! because we can choose secretary,economist, and accountant is several way:
Answer: A.
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Options:
A)4 years
B)8 years
C)10 years
D)20 years
E)None of these
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
Answer: A
Question: It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Options:
A)7:40
B)6
C)4
D)5
E)6:45
Rationale: The time it takes John to get to work: time to walk to car park + time to drive
15 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:40 a.m.
A
Answer: A
Question: 1⁄5 + 1⁄7 + 2⁄3 = ?
Options:
A)1 1⁄105
B)104⁄105
C)1 1⁄7
D)1 2⁄105
E)None of these
Rationale: 1⁄5 + 1⁄7 + 2⁄3 = ?
or, ? = 21+15+70/105=106/105=1 1/105
Answer A
Answer: A
Question: Julie and his friends wants to play Team Carrom board. Julie has 7 friends.In how many possible ways to divide into team?
Options:
A)282
B)521
C)100
D)105
E)90
Rationale: This question is little different from other question.The sentence "julie has 7 friends and they need to play Team carrom",Here they describes both julie and her 7 friends. so 8 members are there to play to carrom.
The question is How many different ways can the group be divided into 4 teams of 2 people?
Group = A(julie) B C D E F G H. Again, A must be on a team--there are 7 possibilities. For each of those possibilities, there are 15 ways of dividing the remaining 6 members into 3 teams. So total possibilities = 7 * 15 = 105.
The answer is Option D
Answer: D
Question: The salaries of A and B together amount to $7000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
Options:
A)$1000
B)$5250
C)$2500
D)$4500
E)$1200
Rationale: Let A's salary is x
B's salary = 7000-x
(100-95)% of x = (100-85)% of (7000-x)
x = $5250
Answer is B
Answer: B
Question: Line J has a y-intercept of 9 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Options:
A)(a−6)/b
B)(a−b)/6
C)(b-9)/a
D)(6−b)/a
E)(b−6)/a
Rationale: You know that the line goes through point (a,b) and the y-intercept of 9 tells you that the line also goes through point (0,9).
slope m = (y-y1)/(x-x1) = (b-9)/(a-0)= (b-9)/a
C
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Options:
A)5
B)7
C)8
D)9
E)10
Rationale: Total number of outcomes possible, n(S) = 10 + 25 = 35
Total number of prizes, n(E) = 10
E)
Answer: E
Question: A train traveling with constant speed crosses a 90m long platform in 12 seconds and a 120m long platform in 15 seconds.Find the length of the train and its speed.
Options:
A)30
B)40
C)60
D)50
E)NOne
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 12 => y = x/12
(x + 90)/12 = x+120/15 => x = 30 m.
Answer:A
Answer: A
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Options:
A)120
B)350
C)700
D)2,520
E)5,040
Rationale: Number of ways to choose 2 colors among 5 - 5c2
Number of ways that the chosen colors can be painted for 7 horizontal stripes - 2 (either (4,3) or (3,4))
Now the order,
the number of ways in which a particular color among the 2 chosen colors can be painted for 4 stripes is - 7c4
[Note: We don't need to calculate the ways for the remaining 3 stripes as they are obvious and already counted under this]
Total number of combinations - 5c2 * 2* 7c4 = 700 ANS:C
Answer: C
Question: In a race where 18 cars are running, the chance that car X will win is 1/8, that Y will win is 1/12 and that Z will win is 1/6. Assuming that a dead heat is impossible, find the chance that one of them will win.
Options:
A)1/140
B)1/180
C)3/12
D)3/8
E)57/120
Rationale: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).
= 1/8 + 1/12 + 1/6
= 3/8
ANSWER:D
Answer: D
Question: A starts business with Rs.4500 and after 7 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?
Options:
A)24887
B)20778
C)16200
D)9000
E)2811
Rationale: Explanation:
A invested Rs.3500 for 12 months.
Let B joined with investment x. And he invested for 12 - 7 = 5 months.
So there profit ratio = (4500 Ã— 12) : (5x) = 2 : 3
â‡’ x = 16200
Answer: C
Answer: C
Question: How many keystrokes are needed to type the numbers from 1 to 1500?
Options:
A)2805
B)3224
C)3897
D)4562
E)4893
Rationale: There are 9 one-digit numbers from 1 to 9.
There are 90 two-digit numbers from 10 to 99.
There are 900 three-digit numbers from 100 to 999.
There are 501 four-digit numbers from 1000 to 1500.
9 + 90(2) + 900(3) + 501(4) = 4893
The answer is E.
Answer: E
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio T of milk and water in the resultant mixture?
Options:
A)17 : 3
B)9 : 1
C)3 : 17
D)5 : 3
E)11: 2
Rationale: he 20 litre mixture contains milk and water in the ratio of 3 : 2. Therefore, there will be 12 litres of milk in the mixture and 8 litres of water in the mixture.
Step 1.
When 10 litres of the mixture is removed, 6 litres of milk is removed and 4 litres of water is removed. Therefore, there will be 6 litres of milk and 4 litres of water left in the container. It is then replaced with pure milk of 10 litres. Now the container will have 16 litres of milk and 4 litres of water.
Step 2.
When 10 litres of the new mixture is removed, 8 litres of milk and 2 litres of water is removed. The container will have 8 litres of milk and 2 litres of water in it. Now 10 litres of pure milk is added. Therefore, the container will have 18 litres of milk and 2 litres of water in it at the end of the second step. Therefore, the ratio of milk and water is 18 : 2 or 9 : 1.
Shortcut.
We are essentially replacing water in the mixture with pure milk.
Let W_o be the amount of water in the mixture originally = 8 litres.
Let W_r be the amount of water in the mixture after the replacements have taken place.
Then,{W_r}/{W_o}= (1-R/M)^n
where R is the amount of the mixture replaced by milk in each of the steps, M is the total volume of the mixture and n is the number of times the cycle is repeated.
Hence, {W_r}/{W_o} =(1/2)^2  =1/4
Therefore,TW_r ={W_o}/4= 8/4 = 2 litres.B
Answer: B
Question: The product of the prime integers between 42 and 50, inclusive, is:
Options:
A)50! – 40!
B)99,029
C)2,021
D)2,303
E)2,000
Rationale: only prime number bet ween 43 and 50 inclusive are 43 and 47
thus 43*47 = 2021
Ans: C
Answer: C
Question: 15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container H?
Options:
A)A:45
B)B:25
C)C:37.5
D)D:36
E)E:42
Rationale: If you have a 37.5 liter capacity, you start with 37.5 L of A and 0 L of B.
1st Replacement
After the first replacement you have 37.5-15=22.5 L of A and 15 L of B. The key is figuring out how many liters of A and B, respectively, are contained in the next 15 liters of mixture to be removed.
The current ratio of A to total mixture is 22.5/37.5; expressed as a fraction this becomes (45/2) / (75/2), or 45/2 * 2/75. Canceling the 2s and factoring out a 5 leaves the ratio as 9/15. Note, no need to reduce further as we're trying to figure out the amount of A and B in 15 L of solution. 9/15 of A means there must be 6/15 of B.
Multiply each respective ratio by 15 to get 9 L of A and 6 L of B in the next 15L removal.
Final Replacement
The next 15L removal means 9 liters of A and 6 liters of B are removed and replaced with 15 liters of B. 22.5-9=13.5 liters of A. 15 liters of B - 6 liters + 15 more liters = 24 liters of B.
Test to the see if the final ratio = 9/16; 13.5/24 = (27/2) * (1/24) = 9/16. Choice C is correct.
Answer: C
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
Options:
A)15 litres
B)14 litres
C)30 litres
D)22 litres
E)8 litres
Rationale: Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+7)=4/5
20x=4(3x+7)
8x=28
x=3.5
Quantity of alcohol = (4 x 3.5) litres = 14 litres.
Answer is B.
Answer: B
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Options:
A)8 2 1/2 kmph
B)2 2 1/8 kmph
C)2 2 7/2 kmph
D)2 2 1/2 kmph
E)2 3 1/2 kmph
Rationale: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 ½ kmph
Answer: D
Answer: D
Question: 8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Minumum points for (may condition): 4
ANSWER:C
Answer: C
Question: Which of the following expressions CANNOT have a negative value
Options:
A)|a + b| – |a – b|
B)|a + b| – |a|
C)|2a + b| – |a + b|
D)a^2 + b^2 |+ 2|ab|
E)|a^3 + b^3| – a – b
Rationale: Whenever you are required to find if the equation is a perfect square or not, try to bring everything in the form of a perfect square as they are always positive.
Of the given options, only option D can be written in from of a perfect square.
a^2+b^2+2|ab| = |a|^2 + |b|^2 + 2|a||b| = (|a| +|b|)^2.
This will always be positive.
Correct Option: D
Answer: D
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Options:
A)23 years
B)17 years
C)16 years
D)19 years
E)15 years
Rationale: Let the average of the whole team be x years.
11x - (26 + 29) = 9(x - 1)
= 11x - 9x = 46
= 2x = 46 => x = 23
So, average age of the team is 23 years.
Answer: A
Answer: A
Question: A milk man has 20 liters of milk. If he mixes 25 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
Options:
A)20%
B)45%
C)33.33%
D)18%
E)None of these
Rationale: Explanation:
when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 liters of milk.
Therefore, profit percentage = 45 %. Answer: B
Answer: B
Question: Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability T that the new color will be one of theJaunecolors?
Options:
A)5/42
B)37/42
C)1/21
D)4/9
E)5/9
Rationale: I get B.
Jaune Y = (4 choose 1)*(5 choose 2) = 4*10 = 40
Jaune X = (4 choose 2)*(5 choose 1) + (4 choose 3) = 6*5 + 4 = 34
Total combinations = 9 choose 3 = 84
Probability T of Jaune = (40 + 34)/84 = 37/42.B
Answer: B
Question: Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?
Options:
A)10
B)16
C)18
D)11
E)15
Rationale: E
11
In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: E
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 20 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
Options:
A)36%
B)40%
C)44%
D)48%
E)52%
Rationale: Let x be the number of stamps in the original collection.
The percentage of the collection given away is:
0.2x + 0.2(0.8x) = 0.2x + 0.16x = 0.36x = 36%
The answer is A.
Answer: A
Question: A container can hold 4 quarts of fruit juice and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts fruit juice to 5 parts water by volume?
Options:
A)4/3
B)5/3
C)7/3
D)8/3
E)10/3
Rationale: An alternate to the alligation method is the more direct/algebraic method:
Let x be the amount of water to be added.
New total amount of water = 4+x
Total amount of fruit juice = 4
New total = 4+4+x=8+x
Final ratio required (for water) = 5/(5+3)=5/8
Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.
D is thus the correct answer.
Answer: D
Question: Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 63,000 different outfits, then for how many garments does Dave have exactly five choices?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: There are 9 different kinds of clothes.
so if you find the prime factors of 63000
i.e. 3 * 3 * 7 * 2 * 2 *2 *5 * 5 *5 * 1
But the guy has everything greater than 1... so ignoring that there are exactly
9 factors.
and 5 is 3 times.
so Answer is D.
Answer: D
Question: Three unbiased coins are tossed. What is the probability of getting all tails?
Options:
A)7/8
B)1/2
C)3/8
D)1/4
E)1/8
Rationale: Let, H --> Head , T --> Tail
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting two heads
Then E = {TTT}
P(E) = n(E)/n(S) =1/8
Answer: E
Question: The function f is defined for all the positive integers g by the following rule: f(g) is the number of positive integers each of which is less than g and has no positive factor in common with g other than 1 . if p is a prime number then f(p)?
Options:
A)p-1
B)p-2
C)(p+1)/2
D)(p-1)/2
E)2
Rationale: The moment you put a prime number in the function f(g), notice that all the numbers lesser than g have no divisor clashing with divisor of g since g is prime!!.
For instance f(7)= {6, 5, 4, 3, 2, 1}
Thus for f(p) number of integers falling under this set will be p-1
Answer :- A
Answer: A
Question: A can do a work in 3days. B can do in 6days. If both A&B are working together in how many days they can finish the work?
Options:
A)1
B)3
C)2
D)4
E)5
Rationale: 1day work of A = 1/3
1day work of B = 1/6
1day work of A&B = 1/3 + 1/6 = 1/2
A&B finish the work in 2days
Answer is C
Answer: C
Question: The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?
Options:
A)552 km
B)502 km
C)492 km
D)422 km
E)487 km
Rationale: Explanation:
Given that distance travelled in 1st hour = 35 km
and speed of the bus increases by 2 km after every one hour
Hence distance travelled in 2nd hour = 37 km
Hence distance travelled in 3rd hour = 39 km
..
Total Distance Travelled = [35 + 37 + 39 + ... (12 terms)]
This is an Arithmetic Progression(AP) with
first term, a=35, number of terms,n = 12 and common difference, d=2.
The sequence a , (a + d), (a + 2d), (a + 3d), (a + 4d), . . .
is called an Arithmetic Progression(AP)
where a is the first term and d is the common difference of the AP
Sum of the first n terms of an Arithmetic Progression(AP),
Sn = n/2[2a+(n−1)d]
where n = number of terms
Hence, [35+37+39+... (12 terms)]
= S12 = 122[2 × 35 +(12 − 1)2]
= 6[70 + 22] = 6 × 92 = 552
Hence the total distance travelled = 552 km
Answer: Option A
Answer: A
Question: 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
Options:
A)2 days
B)76 days
C)8 days
D)6 days
E)4 days
Rationale: 1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 * 6 = 2/3
Remaining work = 1 - 2/3 = 1/3
18 men's 1 day work = 1/108 * 18 = 1/6
1/6 work is done by them in 1 day.
1/3 work is done by them in 6 * 1/3 = 2 days.
Answer: A
Answer: A
Question: A train has a length of 150 meters . it is passing a man who is moving at 6 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Options:
A)182 km/hr
B)180 km/hr
C)152 km/hr
D)186 km/hr
E)179 km/hr
Rationale: Explanation:
Length of the train, l = 150m
Speed of the man , Vm= 6 km/hr
Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) × (18/5) = 180 km/hr
Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)
=> 180 = Vt - 6
=> Vt = 180 + 6 = 186 km/hr
Answer: Option D
Answer: D
Question: Three friends A,B and C invested Rs. 40,000, Rs.60,000 and 80,000 respectively in a business. If the annual profit is Rs. 18000 then share of B is
Options:
A)Rs. 5000
B)Rs. 5400
C)Rs. 5500
D)Rs. 6000
E)Rs. 7000
Rationale: the ratio of investment is 2:3:4 and sum of the investment ratio is 9
then the ratio of b is 3 then 3/9*18000=6000
so the share of B is rs.6000
ANSWER:D
Answer: D