divelab/Sys2Bench huggingface dataset:
Question: In a group of 800 people, 1/5 play at least one instrument, 64 play two or more. What is the probability that one student play exactly one instrument?
Options:
A)3/25
B)3/125
C)C)2/25
D)3/25
E)1/5
Rationale: P(playing 2 or more instruments) = 64/800 = 2/25.
Then, the probability of playing exactly one instrument is given by:
P(playing 1 or more instruments) - P(playing 2 or more instruments) = 1/5 - 2/25 = 3/25.
Answer A.
Answer: A
Question: Dhoni can read m pages in 2 minutes. At this rate, how long will it take him to read n pages?
Options:
A)(2/m)*n
B)(3/m)*n
C)(4m)*n
D)(6/m)*n
E)(8/m)*n
Rationale: m page in 2 mins
i.e. 1 page in 2/m mins
i.e. n pages in (2/m)*n
Answer: option A
Answer: A
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Options:
A)650 m
B)600 m
C)200 m
D)300 m
E)350 m
Rationale: Explanation:
2(l + 100) = 600 => l = 200 m
ANSWER IS C
Answer: C
Question: How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=32/51 ?
Options:
A)6
B)3
C)2
D)1
E)0
Rationale: There is no certain way to solve 2 unknown with 1 equation. The best way is to look at the question and retrospect the most efficient way. In this question, a and b are only positive integers. So that is a big relief. Now, we can start with putting a=1,2,.. and so on till the time we are confident about one of the options.
So, we start with
a=1, we get b as -ve. out
a=2, we get b as 6. Yes (Now (a,b) = (2,6). We can directly see that (a,b)=(6,2) will also satisfy. So we have 2 possible solutions)
a=3, we get b as 3. Yes (Now we have 3 possible solutions)
a=4, we get b as fraction. Out
a=5, we get b again as some fraction. Out
a=6 already taken.
We have A,B options left. C,D,E are out.
A is 6. To have 6 as the answer, we will need one more pair like2,6and one more solution where a=b.
When a=b, we have only 1 solution = 2. So, one more solution, where a=b is not possible.
So, answer will be C.
Answer: C
Question: How many positive integers W between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Options:
A)3
B)16
C)75
D)24
E)26
Rationale: 1) I figured there are 101 integers (300 - 200 + 1 = 101). Since the set begins with an even and ends with an even, there are 51 evens.
2) Question says integers are not divisible by 2, leaving all of the odds (101 - 51 = 50 integers).
3) Question says integers are not divisible by 5, removing all the integers ending in 5 (already took out those ending in 0). Take out 10 integers (2?5, ? = 0 to 9), leaving us with 40 integers.
4) Now the painstaking part. We have to remove the remaining numbers that are multiples of 3. Those are 201, 207, 213, 219, 231, 237, 243, 249, 261, 267, 273, 279, 291, and 297...a total of 14 numbers. 26 numbers left!
6) Answer choice E.
Answer: E
Question: If x is negative, which of the following must be positive ?
I. x^2
II. (-1) x
III. 1/x
Options:
A)I only
B)I and II only
C)I and III only
D)II and III only
E)I, II, and III
Rationale: x=-ve
I. x^2
will be positive
II. (-1) x
=-ve*-ve= +ve
will be positive
III. 1/x
=1/-ve =-ve
will be negative
Answer B
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 47 was wrongly taken as 23. The corrected new mean is
Options:
A)35.24
B)36.16
C)36.22
D)36.48
E)None
Rationale: Solution
Correct sum = (36x50+47-23)
= 1824.
âˆ´ Correct mean = 1824 / 50
= 36.48.
Answer D
Answer: D
Question: The ratio of red boxes to blue boxes in a certain warehouse is 10 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
Options:
A)37
B)74
C)70
D)148
E)244
Rationale: Ratio = R/B = 10/25 or R = 10/25 B -----------(1)
2R/B+150 = 10/25*1/2 = 1/5 or we can say that 10R=B+150 -------------(2)
solving (1) and (2) we get
B=50 and R = 20
so total boxes is B + R = 50+20=70
Hence C. 70 is the correct answer
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Options:
A)152 m
B)726 m
C)688 m
D)150 m
E)176 m
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Answer: D
Question: A train 900 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)400
B)540
C)500
D)520
E)589
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.
Answer: Option A
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 100 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Options:
A)250/3
B)500/3
C)300
D)480
E)600
Rationale: we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ?
W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y.
If X = 100 then Y = 300
ANSWER:C
Answer: C
Question: There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(34)-A(33)?
Options:
A)2^22+1
B)2^23
C)2^23+1
D)2^33
E)2^23+1
Rationale: A1= 3
A2= 2*3-1= 5
A3= 2*5-1= 9
A4= 2*9-1= 17
We can notice that there is a squence
A2-A1= 2^1
A3-A2= 2^2
A4-A3= 2^3
Hence A34-A33= 2^33
answer : D
Answer: D
Question: Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 4 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Options:
A)60
B)72
C)84
D)90
E)216
Rationale: E is the answer....
D = TS where D=distance, T=Time and S=Speed
To travel half distance, (2+4T) = 9T ==> T = 2/5 ==> 24 minutes
To travel double distance, 2(2+4T) = 9T ==> 4 ==> 240 minutes
Difference, 216 minutes
E
Answer: E
Question: If x < 12, then it must be true that...
Options:
A)-x < -12
B)-x - 2 < 14
C)-x + 2 < -10
D)x + 2 < 10
E)x - 6 < 17
Rationale: A. -x < -12 --> x>12. Not true.
B. -x - 2 < 14 --> x>-16. Not true, consider x=-20.
C. -x + 2 < -10 --> x>12. Not true.
D. x + 2 < 10 --> x<8. Not true, consider x=10.
E. x - 6 < 17 --> x<23. Since given that x<12, then x is for sure less than 13. Thus this statement must be true.
Answer: E.
Answer: E
Question: Find the slope of the line perpendicular to the line y = (1/3)x - 7
Options:
A)-1
B)-4
C)-3
D)0
E)-5
Rationale: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 3. If m is the slope of the line perpendicular to the given line, then
m × (1/3) = -1
Solve for m
m = - 3
correct answer C)-3
Answer: C
Question: A train passes a man standing on the platform. If the train is 240 meters long and its speed is 72 kmph, how much time it took in doing so?
Options:
A)16 sec
B)14 sec
C)9 ½ sec
D)8 ½ sec
E)12 sec
Rationale: D = 240
S = 72 * 5/18 = 20 mps
T = 240/20 = 12 sec
Answer: E
Answer: E
Question: A’s speed is 21/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Options:
A)2/21
B)2/19
C)1/11
D)1/7
E)1/5
Rationale: Let D be the full distance.
Let x be the fraction of the distance that B runs.
Let v be the speed at which B runs.
The time should be the same for both runners.
Time = D / (21v/19) = xD/v
(19/21)*D/v = x*D/v
x = 19/21
B should have a head start of 2/21 of the full distance.
The answer is A.
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm?
Options:
A)210 cm2
B)150 cm2
C)168 cm2
D)198 cm2
E)987 cm2
Rationale: 1/2 * 28(9 + 6)
= 210 cm2
Answer: A
Answer: A
Question: In how many different ways can the letters of the word 'PROFILE' be arranged in such a way that the vowels occupy only the odd positions ?
Options:
A)720
B)550
C)670
D)625
E)576
Rationale: Number of ways of arranging the vowels =4P3=4!=24.
Also, the 4 consonants can be arranged at the remaining 4 positions.
Number of ways of these arrangements =4P4=4!=24.
Total number of ways =(24*24)=576.
Answer is E
Answer: E
Question: The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Options:
A)18/35
B)19/35
C)19/36
D)18/33
E)18/32
Rationale: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 4/5 * 4/7 + 1/5 * 3/7
= 16/35 + 3/35 = 19/35
Answer: B
Answer: B
Question: Ragav took a bus from home to market, that travels at 40 kmph. While walking back at 4 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 30 kmph. Find the average speed.
Options:
A)6.5 kmph
B)12.0 kmph
C)28.5 kmph
D)18.5 kmph
E)none of these
Rationale: Let the distance be 2x(one way)
Time taken by bus = 2x/40, by walking =x/4, by cycling = x/30 hours
:. Average speed = Total Distance/Total time
= 4x / x/20 + x/4 + x/30
= 4 *60 / 3+15+2
= 12.0
ANSWER:B
Answer: B
Question: The cricket team of 11members is 27yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Options:
A)21
B)22
C)23
D)25
E)24
Rationale: Let the average age of the whole team be x years.
11x - (27 + 30) = 9 (x - 1)
=> 11x - 9x = 48
=> 2x = 48
=> x = 24.
So, average age of the team is 24 years.
E
Answer: E
Question: The largest 4 digit number exactly divisible by 88 is:
Options:
A)9944
B)9955
C)9966
D)6677
E)9958
Rationale: Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
Answer:A
Answer: A
Question: Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
Options:
A)4 : 3
B)3 : 2
C)6 : 5
D)7 : 6
E)None of these
Rationale: Let x be the investment of Ravi in 6% and y be in 7%
x(6)(n)/100 = y(7)(n)/100
=> x/y = 7/6
x : y = 7 : 6
ANSWER:D
Answer: D
Question: |x+3| – |2-x| = |8+x| How many solutions will this equation have?
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: You have |x+3| - |4-x| = |8+x|
First, look at the three values independently of their absolute value sign, in other words:
|x+3| - |4-x| = |8+x|
(x+3) - (4-x) = (8+x)
Now, you're looking at x < - 8, so x is a number less than -8. Let's pretend x = -10 here to make things a bit easier to understand.
when x=-10
I.) (x+3)
(-10+3)
(-7)
II.) (4-x)
(4-[-10]) (double negative, so it becomes positive)
(4+10)
(14)
III.) (8+x)
(8+-10)
(-2)
In other words, when x < -8, (x+3) and (8+x) are NEGATIVE. To solve problems like this, we need to check for the sign change.
Here is how I do it step by step.
I.) |x+3| - |4-x| = |8+x|
II.) IGNORE absolute value signs (for now) and find the values of x which make (x+3), (4-x) and (8+x) = to zero as follows:
(x+3)
x=-3
(-3+3) = 0
(4-x)
x=4
(4-4) = 0
(8+x)
x=-8
(8+-8) = 2
C
Answer: C
Question: Which natural number is nearest to 8485, which is completely divisible by 75 ?
Options:
A)7845
B)8475
C)2540
D)3520
E)6540
Rationale: 75) 8485 (113
75
---
98
75
----
235
225
---
10
Required number = (8485 - 10) // Because 10 < (75 - 10)
= 8475.
ANSWER B
Answer: B
Question: For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Options:
A)26m
B)32m
C)24m
D)28m
E)None of these
Rationale: Explanation:
This is a simple speed time problem. Given conditions:
=>Speed of P= 224/28 = 8m/s
=>Speed of Q=224/32 = 7m/s
=>Difference in time taken = 4 seconds
Therefore, Distance covered by P in that time= 8m/s x 4 seconds = 32 metres
ANSWER: B
Answer: B
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
Options:
A)14000
B)18000
C)19000
D)20000
E)25000
Rationale: 25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
ANSWER A
Answer: A
Question: The average of 1st 3 of 4 numbers is 6 and of the last 3 are 3. If the sum of the first and the last number is 13. What is the last numbers?
Options:
A)4
B)2
C)6
D)7
E)8
Rationale: A + B + C = 18
B + C + D = 9
A + D = 13
A – D = 9
A + D = 13
2D = 4
D = 2
ANSWER:B
Answer: B
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 1 m x 2 m x 20 cm?
Options:
A)5600
B)6000
C)237
D)7200
E)8600
Rationale: Number of bricks =Volume of the wall/Volume of 1 brick =	(100 x 200 x 20)/(25 x 11.25 x 6) = 237.
Answer: Option C
Answer: C
Question: A garrison of 2000 men has provisions for 65 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Options:
A)1977
B)1893
C)1979
D)3000
E)1278
Rationale: 2000 ---- 65
2000 ---- 50
x ----- 20
x*20 = 2000*50
x = 5000
2000
-------
3000
Answer: D
Answer: D
Question: If -3x+5y=48 and 3x-2y=6, what is the product of x and y?
Options:
A)252
B)428
C)464.
D)200
E)642
Rationale: Given -3x+5y=48 ---Eq 1
3x -2y =6 -- Eq 2
Sum both eqns we get 3Y = 54 => Y = 18
Sub 2Y in eq 2 => 3X - 36 = 6.
=> X = 14
Now XY = 14 * 18 = 252
Option A is correct answer.
Answer: A
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Options:
A)8 1/2 sec
B)8 1/9 sec
C)8 5/2 sec
D)4 1/2 sec
E)5 1/2 sec
Rationale: D = 170
S = 72 * 5/18 = 20 mps
T = 170/20 = 8 1/2 sec
Answer:A
Answer: A
Question: There are 10 women and 3 men in Room A. One person is picked at random from Room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked?
Options:
A)13/21
B)49/117
C)40/117
D)15/52
E)5/18
Rationale: If M picked from room A, room B probability of picking W is 4/9
If W picked from room A, room B probability of picking W is 3/9
Conditional Probability
P(W in B and M picked in A) = P(W given M picked in A)*P(M picked in A) = 10/13*4/9
P(W in B and W picked in A) = P(W given W picked in A)*P(W picked in A) = 3/13*3/9
Sum 49/117
Ans.B
Answer: B
Question: If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Options:
A)110
B)130
C)150
D)170
E)190
Rationale: If two lines are not parallel, then they will intersect in exactly one point. Lines can be extended infinitely on both ends so somewhere they will intersect with each other if they are not parallel. We are also given that no three lines are concurrent. This means that no three lines intersect at the same point. So every pair of two lines we select will have a unique point of intersection which they will not share with any third line.
The number of ways to select 2 lines from 20 lines is 20C2 = 190
The answer is E.
Answer: E
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)22
B)30
C)99
D)77
E)12
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: B
Answer: B
Question: In a friendship gang Angel has 3 gang, in how many ways can he invite one or more of the gang to his house?
Options:
A)58
B)5
C)12
D)9
E)7
Rationale: Angel can select one or more than one of his 8 gang.
=> Required number of ways = 2^3 – 1= 7.
E
Answer: E
Question: Solution X is 10% chemical A and 90% chemical B by volume. Solution Y is 20% chemical A and 80% chemical B by volume. If a mixture of X and Y is 12% chemical A, what percent of the mixture is Solution X?
Options:
A)80%
B)75%
C)70%
D)65%
E)60%
Rationale: The volume of the mixture be X+Y.
0.1X +0.2Y=0.12(X+Y)
X=4Y
X/(X+Y)=4/5=80%.
The answer is A.
Answer: A
Question: If xy is an integer, which of the following must also be an integer?
I. x/y
II. y/x
III. y
Options:
A)I alone
B)II alone
C)III alone
D)None of the above
E)I and II
Rationale: Lets take X = 8/3 and Y = 3/2
Then XY = 4 which is an integer.
But X/Y = 8/3 divided by 3/2 = 16/9 --> Not an integer.
Y/X = 3/2 divided by 8/3 = 9/16 --> Not an integer.
Y alone is 3/2. Not an integer.
Hence D. None of the above.
Answer: D
Question: What will come in place of question mark in the following equation ?
54.(?)3 + 543 + 5.43 = 603.26
Options:
A)6
B)1
C)9
D)8
E)7
Rationale: Explanation:
Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83
Missing digit = 8.
ANSWER IS D
Answer: D
Question: sonam has 19 penciles,sania has 29 penciles. Totally how many penciles they have in all?
Options:
A)48
B)50
C)30
D)60
E)20
Rationale: 19+29=48. Answer is A
Answer: A
Question: Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
Options:
A)85
B)90
C)71
D)28
E)75
Rationale: Average mark = 76+65+82+67+85/5=375/5=75
Option E
Answer: E
Question: The area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm. What is the perimeter of the square?
Options:
A)30
B)36
C)46
D)66
E)76
Rationale: Area of the square = s * s = 3(3 * 9)
=> s = 9 cm
Perimeter of the square = 4 * 9 = 36 cm.
Answer: Option B
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)89
B)30
C)40
D)50
E)60
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: Option B
Answer: B
Question: In one NIckel cromium alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Options:
A)8%
B)8.4%
C)8.6%
D)9.2%
E)8.8%
Rationale: The amount of chromium in the new 15+35=50 kg alloy is 0.12*15+0.08*35=4.6 kg, so the percentage is 4.6/50*100=9.2%.
Answer: D.
Answer: D
Question: (128 ÷ 6.969) - 13% of 1284 = ?
Options:
A)17
B)32
C)46
D)54
E)72
Rationale: Explanation :
1288/7 - 13x1284/100 = 184 - 167 = 17
Answer : Option A
Answer: A
Question: A contractor undertook to do a piece of work in 15 days. He employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 20 days. Find the number of men originally employed ?
Options:
A)25
B)20
C)19
D)23
E)18
Rationale: Let the number of men originally employed be x.
15x = 20(x â€“ 5)
or x = 20
Answer B
Answer: B
Question: A bag contains 6 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Options:
A)8/15
B)2/5
C)3/5
D)11/15
E)43/91
Rationale: Drawing two balls of same color from six green balls can be done in 6C₂ ways.
Similarly from eight white balls two can be drawn in ⁸C₂ ways.
P = 6C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 43/91
ANSWER:E
Answer: E
Question: Pat's watch gains an extra 6 seconds every 4 hours. Kim's watch loses 5 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 84 hours, what will be the difference in time between Pat's watch and Kim's watch?
Options:
A) 8 min 26 sec
B) 7 min 26 sec
C) 6 min 26 sec
D) 5 min 26 sec
E) 4 min 26 sec
Rationale: In 84 hours Pat's watch will gain an extra 84/4*6 = 126 seconds.
In 84 hours Kim's watch will lose 84/3*5 = 140 seconds.
Hence the difference will be 126 + 140 = 266 sec.
Answer: E.
Answer: E
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.
Options:
A)720
B)740
C)745
D)750
E)760
Rationale: 720
Option 'A'
Answer: A
Question: Susan, John, Daisy, Tim, Matt,Lily and Kim need to be seated in 7 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
Options:
A)A)2520
B)B)120
C)C)80
D)D)240
E)E)60
Rationale: Total number of arrangements = 7! = 5040
In exactly half, Susan will be to the left of Tim, which gives us 2520 arrangements
Option (A)
Answer: A
Question: Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 27 (....)
Options:
A)27
B)23
C)22
D)24
E)26
Rationale: There are two series (8, 11, 14, 17, 20, 23) and (7, 12, 17, 22, 27) increasing by 3 and 5 respectively.
answer : B
Answer: B
Question: A furniture dealer purchased a desk for $100 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Options:
A)40%
B)45%
C)50%
D)55%
E)60%
Rationale: Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $100 but instead, 40% of Selling price which is obtained by adding mark up to $100.
So if selling price is S,
100 + 40% of S = S or 100 = 0.6S therefore S = 100/0.6 =
S =
Profit = 100/0.6- 100 which is calculated on cost price in % terms. So 40/100 * 100 = 40% is profit.
A
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Options:
A)5.75
B)5.7
C)5.76
D)5.71
E)5.7
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer: C
Answer: C
Question: In a fuel station the service costs $2.30 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 4 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
Options:
A)$396
B)$400
C)$404
D)$408
E)$412
Rationale: The service cost of 4 vans and 2 trucks is 6*2.30 $13.80
The fuel in 4 vans is 4*65 = 260 liters
The fuel in 2 trucks is 2*65*2.2 = 286 liters
The total fuel (vans + trucks) = 546 liters
The total fuel cost is 546*0.7 = $382.20
The total cost is $382.20 + $13.80 = $396
The answer is A.
Answer: A
Question: How many pieces of 0.63 meteres can be cut from a rod 32.5 meteres long
Options:
A)30
B)40
C)51
D)60
E)70
Rationale: Explanation:
We need so simple divide 32.5/0.63,
=(3250/63) = 51
Option C
Answer: C
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Options:
A)4
B)3
C)5
D)2
E)1
Rationale: 1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days
ANSWER A
Answer: A
Question: Meera purchased two three items from a shop. Shop keeper says for one wallet : Rs.250/- and Shoe : 1250/- Meera give Rs. 2000/- to shop keeper. He paid balance Rs. 750/- to meera. How much she got?
Options:
A)250
B)500
C)600
D)350
E)400
Rationale: Cost of Wallet =250/-
Cost of Shoe = 1250/-
Total cost = 1500/-
amount paid to shop keeper = 2000/-
Balance is : 2000 - 1500 = 500 (250 Balance + 250 additional)
Answer is A
Answer: A