divelab/Sys2Bench huggingface dataset:
Question: When she chooses a password, Eloise
always uses exactly ten different
characters: five letters (A, B, C, D, and E)
and five numbers (2, 3, 4, 5, and 6).
Additionally, she always ensures that no
pair of letters is consecutive and that no
pair of numbers is consecutive. How many
different passwords conform to these rules?
Options:
A)fewer than 1,000
B)between 1,000 and 10,000
C)between 10,000 and 100,000
D)between 100,000 and 1,000,000
E)more than 1,000,000
Rationale: The first character of the password can be any letter or number, so Eloise has ten
options. Her second choice must be from the set (letter or number) not yet used, so she
has five options. Choice 3 is from the same set as Choice 1, and she has four options left.
Choice 4 is the second item from the same set as Choice 2, so she has four options.
Choices 5 and 6 are from different sets, each with three options; Choices 7 and 8 are from
different sets, each with two options; Choices 9 and 10 are from different sets, each with
only one option remaining. You can see this information in the following chart:
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
10 5 4 4 3 3 2 2 1 1
To find the total number of possible passwords, multiply these numbers together:
10 × 5 × 4 × 4 × 3 × 3 × 2 × 2 × 1 × 1 = 28,800
correct anser C)between 10,000 and 100,000
Answer: C
Question: In what time a sum of money double itself at 8% per annum simple interest?
Options:
A)33 1/8%
B)33 1/3%
C)83 1/3%
D)33 4/3%
E)12 1/2%
Rationale: P = (P*8*R)/100
R = 12 1/2%
Answer:E
Answer: E
Question: At 10 am 2 trains started travelling towards each other from station 287 miles apart they passed each other at 1:30 pmthe same dayy .if average speed of the faster train exceeded by 6 miles /hr what is speed of faster train in miles/hr
Options:
A)42
B)43
C)44
D)45
E)46
Rationale: let the speed of slower train is x
then speed of faster train is=x+6
now, 287/x+x+6=7/2(3 and half hour)
after solving the equation we will get x=38
so faster train=x+6
38+6=44
ANSWER:C
Answer: C
Question: Solve the set of linear equations using subtraction:
4x-3y = 3
2x+6y = 4
Options:
A)x=1/3, y=2/3
B)x=1, y=2/3
C)x=3, y=1/3
D)x=2, y=2
E)x=1, y=1/3
Rationale: Multiply the first equation by 2 so y will have a coefficient of 6 in both equations.
4x-3y = 3
Multiplying by 2: 8x-6y = 6
Add the new equation with the original second equation and solve for x.
8x-6y = 6
+2x+6y = 4
10x = 10
x=1
Substitute the solution for x into the first equation and solve for y.
4x-3y = 3
4(1)-3y = 3
-3y = -1
y=1/3
Substitute the solutions into the second equation to check the answer.
2*1+6*(1/3) ?= 4
2+(6/3) ?= 4
2+2 ?= 4
4=4
x = 1 and y=1/3
Answer E
Answer: E
Question: The banker's discount on Rs.1150 due a certain time hence is Rs.115. Find the true discount and the banker's gain.
Options:
A)10
B)15
C)18
D)21
E)None
Rationale: Solution
Sum	=B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G	=Sum / B.D
= 1650 / 165
= 10 / 1
If B.D is Rs. 11,T.D= Rs.10.
If B.D is Rs.165,
T.D	= Rs.(10 / 11 x 165)
= Rs.150.
And, B.G	= Rs(165 - 150)
= Rs.15.
Answer B
Answer: B
Question: In the Lakeside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Options:
A)50.
B)45.
C)40.
D)30.
E)25.
Rationale: Given there are 50 students In the Lakeside summer camp , 90% of 50 = 45 boys and remaining 5 girls.
Now here 90% are Boys and 10% are Girls.
Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..
If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.
Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).
IMO option A is correct.
Answer: A
Question: In what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
A)6 sec
B)7 sec
C)8 sec
D)11 sec
E)2 sec
Rationale: T = 110/36 * 18/5
= 11 sec
Answer:D
Answer: D
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6700?
Options:
A)s. 4991
B)s. 5991
C)s. 6001
D)s. 6191
E)s. 7991
Rationale: total fr 5 mnths=(6435+6927+6855+7230+6562)=Rs34009.
Reqd.sale=Rs.[(6700*6)-34009]
= Rs.(40200-34009)
= Rs.6191.
ANSWER:D
Answer: D
Question: 60% of male in a town and 70% of female in a town are eligible to vote. out of which 70% of male and 60% of female who are eligible to vote voted for candidate A. what is the value of votes in % did A get?
Options:
A)22
B)221
C)288
D)2212
E)2211
Rationale: Let the ratio of men and women are 100 : k
Male eligible votes = 60 and female eligible votes = 70% (k)
Number of males who voted for A = 70% (60) = 42
Number of females who voted for A = 60%(70% (K) = 42% (k)
Percentage of votes got by A = 42+42100(K)60+70100(K)×100=4200+42K6000+70K×10042+42100(K)60+70100(K)×100=4200+42K6000+70K×100
So this value cannot be determined as the value of K is not known
Answer:	B
Answer: B
Question: What is the maximum number T of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Options:
A)36
B)32
C)24
D)21
E)15
Rationale: 27 cubic centimetre cubes gives side = 3cm
so if:
L*W*H is 9*12*8, then max. cube we can have are 3*4*2 = 24
L*W*H is 9*8*12, then max. cube we can have are 3*2*4 = 24
L*W*H is 12*8*9, then max. cube we can have are 4*2*3 = 24
L*W*H is 12*9*8, then max. cube we can have are 4*3*2 = 24
L*W*H is 8*12*9, then max. cube we can have are 2*4*3 = 24
L*W*H is 8*9*12, then max. cube we can have are 2*3*4 = 24
In all cases we get T=24 cubes.
Ans. C
Answer: C
Question: The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Options:
A)15
B)9
C)16
D)14
E)12
Rationale: 2x * x = 288 => x
= 12
Answer: E
Answer: E
Question: Find the simple interest on Rs.750 for 9 months at 6 paisa per month?
Options:
A)Rs.415
B)Rs.405
C)Rs.450
D)Rs.345
E)Rs.564
Rationale: Explanation:
I = (750*9*6)/100 = 405
Answer: Option B
Answer: B
Question: One-fourth of a number is greater than one-fifth of the number succeeding it by 1. Find the number.
Options:
A)24
B)42
C)36
D)48
E)50
Rationale: number is 24
as 1/4 th of 24= 6
1/5 th of 25(24+1) =5
6=5+1
ANSWER:A
Answer: A
Question: If .002^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: 0.002^5= (2*10^-3)^5 = 32*10^-15 = 0.32*10^-13 which would have 13 zeros to the right of the decimal point. The answer is D.
Answer: D
Question: The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate S, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Options:
A)0.125
B)0.25
C)0.5
D)0.75
E)Not enough information to determine the rate
Rationale: The correct answer is E.
There are not enough info to answer the question.
A 840 cubic meters rectangle is built from: height*length*width.
From the question we know the volume of the pool and the filling rate.
A pool can have a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate = E
Answer: E
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.8,302 for a cell phone, then what was the cost price of the cell phone?
Options:
A)Rs.5,845
B)Rs.6,750
C)Rs.5,700
D)Rs.6,925
E)None of these
Rationale: Explanation:
123% of CP =SP
Therefore, CP = Rs.8,302x100/123 = Rs.6750
Answer: Option B
Answer: B
Question: If (x/y)=(10/5), find the value (x^2+y^2)/(x^2-y^2)
Options:
A)5/3
B)59/11
C)51/77
D)41/11
E)None of them
Rationale: = (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(10/5)^2+1] / [(10/5)^2-1]
= [(100/25)+1] / [(100/25)-1] = 5/3
Answer is A.
Answer: A
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Options:
A)2517
B)2527
C)2607
D)2506
E)2606
Rationale: 358/179 ….. 895/179
179(2 + 3 + 4 + 5) => 2506
ANSWER:D
Answer: D
Question: Define w* by the equation w* = π-w. Then ((−π)*)* =
Options:
A) −2π
B) -1
C) −π
D) 2π
E) 4π
Rationale: for w* f(f(−π)) = f(π − (−π)) = f(π + π) = f(2π) = π − 2π = −π=C
Answer: C
Question: A palindrome is a number that reads the same forward and backward, such as 145. How many odd, 4-digit numbers are palindromes?
Options:
A)40
B)45
C)80
D)90
E)2500
Rationale: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc
You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.
Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.
In how many ways can you pick two digits such that the first one is an odd digit?
The first digit can be selected in 5 ways.(1/3/5/7/9)
The second digit can be selected in 10 ways.(0/1/2/3...8/9)
Total = 5*16 = 80 ways
C
Answer: C
Question: The cost of the paint is rs.30 per kg. if 1kg of paint covers 18sq.ft, how much will it cost to paint outside of a cube having 6 feet each side
Options:
A)Rs.962
B)Rs.672
C)Rs.540
D)Rs.876
E)None of these
Rationale: Explanation:
surface area of a cube= 6 x 6^2 = 216 sq.ft
quantity of paint required=(216/18)=12kg
cost of painting= 30 x 18 = Rs.540
Answer: C
Answer: C
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Options:
A)8
B)7
C)6
D)5
E)4
Rationale: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.
Distance traveled = 12/5 * 5 = 12 km.
Distance between house and school = 12/2 = 6 km.'
Answer: C
Answer: C
Question: A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Options:
A)430
B)440
C)450
D)460
E)470
Rationale: We're given a series of facts to work with:
1) A certain high school has 500 students.
2) Of these students:
X are taking music,
Y are taking art, and
Z are taking BOTH music and art.
We're asked how many students are taking NEITHER music nor art?
Let's TEST
X = 40
Y = 20
Z = 10
So, we have 40 students taking music, 20 taking art and 10 taking BOTH music and art.
30 student taking JUST music
10 student taking JUST art
10 student taking BOTH music and art
Total = 50 students
We're asked for the total number of students who are taking NEITHER Course. That is 500 - 50 = 450.
C
Answer: C
Question: A man on tour travels first 100 km at 64 km/hr and the next 100 km at 80 km/hr. Find the average speed for first 200 km of tour.
Options:
A)50.11 km/hr
B)51.11 km/hr
C)52.11 km/hr
D)58.00 km/hr
E)None of these
Rationale: Explanation:
We know Time = Distance/speed
So total time taken =
(100/60+100/80)=35/12hours
Time taken for 200 Km = 200∗35/12=58.00km/hr
Option D
Answer: D
Question: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Options:
A)9
B)8
C)5
D)6
E)4
Rationale: Explanation:
(700 â€“ 300)/42 = 9 22/42 => 9 Numbers
Answer:A
Answer: A
Question: An article is bought for Rs.575 and sold for Rs.675, find the gain percent?
Options:
A)17.39%
B)33 1/6%
C)33 1/3%
D)38 1/3%
E)33 2/3%
Rationale: 575 ---- 100
100 ---- ? => 17.39%
Answer:A
Answer: A
Question: Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
Options:
A)30 minutes
B)40 min
C)50 minutes
D)60 minutes
E)70 minutes
Rationale: Solution:
Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.
Thirty Minutes + Fifteen minutes = Forty Minutes
Answer B
Answer: B
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 115 barrels of oil?
Options:
A)2
B)3
C)4
D)18
E)180
Rationale: Well A produces 1/2 a barrel per minute.
Wells B and C produce 1/3 + 1/4 = 7/12 (a little more than half) a barrel per minute.
So all three wells combined produce a little more than 1 barrel per minute.
So for 115 barrels they will take a bit less than 115 mins which will be more than 1 hrs but less than 2 hrs.
Answer (A)
Answer: A
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 600, then x must be a multiple of which of the following?
Options:
A)3.
B)6.
C)7.
D)8.
E)10.
Rationale: If y is a multiple of 5, then 6y is also a multiple of 5.
3x = 600 - 6y
600 - 6y is even and it is a multiple of 5.
Thus x must also be even and a multiple of 5.
Therefore x must be a multiple of 10.
The answer is E.
Answer: E
Question: Which resistive component is designed to be temperature sensitive?
Options:
A)27
B)66
C)25
D)18
E)11
Rationale: Explanation:
No answer description available for this question. Let us discuss.
Answer: Option A
Answer: A
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Options:
A)5.6%
B)6 %
C)8.2 %
D)9.3 %
E)2%
Rationale: Explanation:
Cost Price of 1 toy = Rs.(375/12)= Rs. 31.25
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
Profit % =(1.75/31.25*100)%=28/5%=5.6%
ANSWER:A
Answer: A
Question: Roger can read a book in k minutes. What part of the book can he read in 6 minutes? (k>8)
Options:
A)8+k
B)8/k
C)k/8
D)(k+ 8)/k
E)(k-8) / k
Rationale: Let's sayk = 24
That is, it takes 24 minutes to read the entire book.
So, in 8 minutes, Roger can read1/3of the book
So, we're looking for the answer choice that yields an OUTPUT of1/3whenk = 24
A) 8+24=32ELIMINATE
B) 8/24=1/3KEEP
C)24/8 =3ELIMINATE
D) (24+ 8)/24=32/24 = 4/3ELIMINATE
E) (24-8) /24=16/24 = 2/3ELIMINATE
Answer:D
Answer: D
Question: Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?
Options:
A)1:2
B)2:1
C)1:3
D)3:1
E)1:4
Rationale: root (b):root(a)
2:1
ANSWER:B
Answer: B
Question: The greatest number of four digits which is divisible by 18, 25, 40 and 75 is:
Options:
A)9000
B)9400
C)9600
D)9800
E)9200
Rationale: Greatest number of 4-digits is 9999.
L.C.M. of 18, 25, 40 and 75 is 1800.
On dividing 9999 by 1800, the remainder is 999.
Required number (9999 - 999) = 9000.
Answer: Option A
Answer: A
Question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
A)q/9
B)q/5
C)q/6
D)q/7
E)q/8
Rationale: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9
Answer: A
Answer: A
Question: Johnny makes $3.25 per hour at his work. If he works 8 hours, how much money will he earn?
Options:
A)$30
B)$54
C)$26
D)$12
E)$9.60
Rationale: 3.25*8=26. Answer is C.
Answer: C
Question: The circumferences of the fore and hind-wheels of a carriage are 2 2/5 and 3 3/7 meters respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that their chalk marks may be again on the ground at the same time?
Options:
A)18 metres
B)16 metres
C)38 metres
D)42 metres
E)24 metres
Rationale: A little reflection will show that chalk marks will touch the ground together for the first time after the wheels have passed over a distance which is the LCM of 2 2/5 metres and 3 3/7 metres.LCM of 12/5 metres and 24/7 metres =24 metres.
Answer is E
Answer: E
Question: Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 675meters, after what time will they meet at the starting point?
Options:
A)20sec
B)15sec
C)45sec
D)50sec
E)1min
Rationale: They meet every 675/7+8 = 45sec
Answer is C
Answer: C
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 2 km apart, if they walk in the same direction?
Options:
A)5hours
B)6hours
C)1hours
D)10hours
E)12hours
Rationale: To be 2km apart they take 1 hour
To be 10km apart they take = 1/2 * 2 =1 hours
Answer is C
Answer: C
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Options:
A)12 1/2 years
B)12 1/6 years
C)12 7/2 years
D)12 1/4 years
E)22 1/2 years
Rationale: 100 ---- 200 ---- 5
200 ---- 5
100 ---- 2 1/2
------------------
600 ---- 12 ½ years
Answer: A
Answer: A
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 16 days more?
Options:
A)122
B)140
C)199
D)188
E)190
Rationale: 760 ---- 22
760 ---- 20
x ----- 16
x*16 = 760*20
x = 950
760
-------
190
Answer: E
Answer: E
Question: A certain bag contains 100 balls â€” 20 white, 30 green, 10 yellow, 37 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Options:
A)0.9
B)0.75
C)0.6
D)0.8
E)0.5
Rationale: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (20 + 30 + 10)/100 = 60/100 = 0.6.
Answer is C
Answer: C
Question: A 2 digit known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is
Options:
A)20
B)22
C)24
D)25
E)28
Rationale: Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
(11x + 2)(2x + 2) = 144
22x2 + 26x - 140 = 0
11x2 + 13x - 70 = 0
(x - 2)(11x + 35) = 0
x = 2.
Hence, required number = 11x + 2 = 24.
C
Answer: C
Question: A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
Options:
A)15
B)20
C)10
D)5
E)8
Rationale: Answer: D= 5.
Assume Rs. 100 to be the price at which the retailer buys from wholesaler.
50% increase makes Retail price = 150.
Now 30% decrease -> (1-30/100) * 150 = 105.
Now compared to the wholesale price of 100, 5% increase is what will have the same effect as increasing the wholesale price.
Answer: D
Question: The area of the largest circle that can be drawn inside a square of side 70 Cm in length is:
Options:
A)3600
B)2646
C)3850
D)4215
E)5205
Rationale: Radius of required circle = 35 Cm
its area = 22/7 × 35 × 35
110× 35= 3850 Cm(power)2
Answer is C.
Answer: C
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)1.8
B)6.1
C)4.5
D)1.5
E)2.5
Rationale: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer: D
Answer: D
Question: If 5a + 7b = n, where a and b are positive integers, what is the largest possible value of n for which exactly one pair of integers (a, b) makes the equation true?
Options:
A)35
B)48
C)69
D)70
E)74
Rationale: 5*a1 + 7*b1 = n
5*a2 + 7*b2 = n
5*(a1 - a2) = 7*(b2 - b1)
since we are dealing with integers we can assume that a1 - a2 = 7*q and b2 - b1 = 5*q where q is integer, so whenever we get a pair for (a;b) we can find another one by simply adding 7 to a and subtracting 5 from b or vice versa, subtracting 7 from a and adding 5 to b.
Lets check how it works for our numbers, starting from the largest:
E)74 = 5*12 + 7*2 (a1 = 12, b1 = 2), subtract 7 fromaand add 5 tobrespectively, so a2 = 5 and b2 = 7, second pair - bad
D)70 = 5*7 + 7*5 (a1 = 7, b1 = 5), if we add 7 to a we will have to subtract 5 from b but b can't be 0, so - no pair, if we subtract 7 from a, we'll get a = 0 which also isn't allowed - no pair, thus this is the only pair for (a;b) that works,good!, thus
D is the answer
Answer: D
Question: If a survey shows that 36 citizens out of a sample of 300 support a particular Senate bill, what percent of the sample does not support the bill?
Options:
A) 56%
B) 64%
C) 88%
D) 82%
E) 86%
Rationale: 36 out of 300 supports the bill and we are asked to find the percent who the does not support the bill.
36 out of 300 supports the bill = 12 out of 100 supports the bill ( taking in % terms )
12 out of 100 supports the bill = 88 (100-12) doesn't support the bill
So, answer is (C) 88%
Answer: C
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Options:
A)70%
B)80%
C)90%
D)None of above
E)60%
Rationale: Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420) * 100
= 70%(approx)
Answer: A
Answer: A
Question: A solution of 100 litres contains milk and water in the ratio 5:x. If ten litres of water is added to the solution, the ratio becomes 3:2, find the value of x?
Options:
A)2.68
B)2.55
C)2.34
D)2.57
E)2.89
Rationale: Exp. Total new quantity = original sol + water =100+10 =110
New ratio = 3:2, New quantity of milk =3/5*110 = 66 Lit,
New quantity of water = 2/5*110= 44 Lit
Water present initially = (44-10) = 34 Lit
Ratio = 66/34 =5/x There for x = 2.57
Answer: D
Answer: D
Question: The tax on a commodity is diminished by 18% and its consumption increased by 15%. The effect on revenue is?
Options:
A)2%
B)8.7%
C)5.7%
D)6.7%
E)1%
Rationale: 100 * 100 = 10000
82 * 115 = 9430
-----------
10000-----------570
100-----------? => 5.7% decrease
Answer: C
Answer: C
Question: In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
Options:
A)35
B)38
C)40
D)42
E)54
Rationale: Explanation:
Let the number of correct answers be X.
Number of incorrect answers = (60 – X).
4x – (60 – x) = 130
=> 5x = 190
=> x = 38
ANSWER IS B
Answer: B
Question: Jake, Lena, Fred, and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Options:
A)30
B)42
C)120
D)240
E)960
Rationale: 4 people ,7 seats, only 2 can drive
if inna is in one seat remaining, 3 people can be arranged in 3p3 i.e 3! =6 ways
since any one can drive total ways = 6 *2= 12 ways
4 seats can be chosen out of remaining 6 seats in 6c3 ways = 6!/(3!*2!)= 20 ways
12*20=240
D
Answer: D