MU-NLPC/Calc-aqua_rat huggingface dataset:
there is four different color cloth strip.how many different flag you can make using these strip?if you want to to make multicolour flag then you must use different strip horizontally.  Choose the correct choice from the following answers.
A) 50  B) 64  C) 48  D) 120  E) 24

Solution: total no.of flag using all four strip=4P4=4!=24   total no. of flag using three strip=4P3=4!/1!=24   total no. of flag using two strip=4P2=4!/2!=12   total no. of flag using one strip=4P1=4!/3!=4   total no. of flag=24+24+12+4= 
24+24+12+4 = 64
64   answer 64
Answer: B
The difference between the local value and the face value of 7 in the numerical 32675149 is
Choose the correct choice from the following choices.
A) 75142 B) 64851 C) 5149 D) 69993 E) None of them

Solution: =(local value of 7)-(Face value of 7)   =(70000-7)= 
(70000-7) = 69_993
69993   Answer is 69993
Answer: D
7, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?  Select
A) 398
B) 259
C) 322
D) 686
E) 847

Solution: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7   clearly the answer is 398 because if we divide 398 by 7 we get a remainder of 56.85   Correct answer - 398
Answer: A
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?  Pick one: A) 15% B) 16.66% C) 17.8% D) 19% E) 21%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: B
Rahul went to a shop and bought things worth Rs. 45, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choices.
A) A)19.7	B) B)19.9	C) C)20.9	D) D)21.9	E) E)39.7

Solution: Total cost of the items he purchased = Rs.45   Given that out of this Rs.45, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (45−30/100−x)6/100 = 30/100   ⇒ 6(45 −0.3 −x) = 30   ⇒ (45 − 0.3 − x) = 5   ⇒ x = 45 − 0.3 − 5 = 39.7   39.7)
Answer: E
A pipe fills a pool in 3.5 hours. If the flow of water is changed so that the pipe's rate is halved, then how long will it take for the pipe to fill 2/3 of the pool?	Choose the correct choice from the following.
A) 4 hours and 40 minutes  B) 3 hours and 10 minutes  C) 2 hours and 20 minutes  D) 7 hours  E) 2/21 hours

Solution: A pipe takes 3.5 hrs to fill the tank. So when rate is reduced to half it will take 7 hrs to fill the tank.   so time time taken to fill 2/3rd tank capacity is given by   7*2/3=4 hrs 40min   4 hours and 40 minutesNSWER:4 hours and 40 minutes
Answer: A
A train 200 m long can cross an electric pole in 20 sec and then find the speed of the train?	Choose one.
A) 987 B) 271 C) 72 D) 27 E) 36

Solution: Length = Speed * time   Speed = L/T   S = 200/20= 
200/20 = 10
10 M/Sec   Speed= 10*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 36 Kmph   Answer:36
Answer: E
A certain sum of money amounts to Rs 1008 in 2 years and to Rs 1164 in 3 years. Find the sum and the rate of interest.
Choose the correct choice from the following:
A) 14%	B) 13%	C) 12%	D) 19%	E) None of these

Solution: Explanation:   S.I. for 1 ½ years = Rs (1164 - 1008)= 
(1164 - 1008) = 156
Rs 156 .   S.I. for 2 years= Rs (156 x x 2)= Rs 208.   Principal = Rs (1008 - 208)= 
(1008 - 208) = 800
Rs 800.   Now, P= 800, T= 2 and S.I. = 208.   Rate = (100 x S.I.) / (P x T) = [ (100 x 208)/(800 x 2)]% = 13%   Answer: 13%
Answer: B
If abc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1/2 Choose the correct choice from the following options.
A) II&III	B) III	C) II	D) I	E) none

Solution: none
Answer: E
A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.	Choose the correct choice from the following choices
A) 110 kmph B) 120 kmph C) 108 kmph D) 100 kmph E) 98 kmph

Solution: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train   In 20 sec the train travels a distance of 600 mtrs   Speed = 600/20= 
600/20 = 30
30 m/s= 30 (3600/1000) = 30 * 18/5= 
30 * 18/5 = 108
108 kmph   Answer: 108 kmph
Answer: C
The radius of a wheel is 14.6 cm. What is the distance covered by the wheel in making 100 resolutions?	Choose the correct answer:
A) 754 m
B) 704 m
C) 90.524 m
D) 706 m
E) 91.688 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 100 resolutions.   = 100* 2 * 22/7 * 14.6 = 9168.8 cm   = 91.688 m   Answer:91.688 m
Answer: E
By investing in 1623% stock at 64, one earns Rs. 1600. The investment made is Pick:
A) s. 9600
B) s. 7500
C) s. 5640
D) s. 6144
E) s. 6760

Solution: Explanation :   Market Value = Rs.64   Face Value is not given and hence take it as Rs.100   16 2/3% of the face value = 50/3   ie, to earn 50/3, investment = Rs.64   Hence, to earn Rs.1600, investment needed = 64×3×1600/50=6144   Answer : Option s. 6144
Answer: D
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choose the correct choice from the following:
A) 520
B) 620
C) 820
D) 740
E) 720

Solution: Distance = (240 x 5) = 1200 km.   Speed = Distance/Time   Speed = 1200/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]   Required speed = (1200 x	3/5) km/hr = 720 km/hr   Answer 720) 720 Km/hr
Answer: E
Praveen starts business with Rs.3500 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? Select
A) Rs.7500 B) Rs.8000 C) Rs.8500 D) Rs.9000 E) Rs.6000

Solution: Let Hari’s capital be Rs. x. Then, 3500 * 12/7x = 2/3   => 14x = 126000   => x = 9000.   ANSWER:Rs.9000
Answer: D
Which of the following values is the greatest	Select the correct option: A) a) 11% of 89 B) b) 22% of 78 C) c) 33% of 67 D) d) 55% of 56 E) e) 55% of 45

Solution: Are you sure that you checked the answer key correctly? I just signed up forVeritas(haven't started yet, not until March) but I have access to the materials and the answer key I'm looking at says d) 55% of 56
Answer: D
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?  Select the correct option:
A) 2177 B) 2876 C) 4900 D) 2981 E) 2711

Solution: Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8400= 
4 * 8400 = 33_600
33600 ----(2)   (2)-(1) i.e. May - Jan= 1600   Salary of May is Rs.6500   Salary of January = Rs.4900.Answer: 4900
Answer: C
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 108) square inches. What is the perimeter of the photograph, in inches? Choose the correct choice from the following answers
A) 34	B) 36	C) 16	D) 40	E) 42

Solution: Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   According to the question:   (L+2)(B+2) = m ----(2)   and   (L+8)(B+8) = m + 108 ---------> (L+8)(B+8) - 108 = m ------(3)   Equating (2) and (3)   (L+2)(B+2) = (L+8)(B+8) - 108   LB + 2L + 2B + 4 = LB + 8L + 8B +64 -108   Simplify   6L + 6B = 48 ------> 2(L+B) = 16 (16heck eq (1))   Answer is 16
Answer: C
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.40 per kg. What will be his gain percent?  Pick one:
A) 8 1/7 % B) 2 1/3 % C) 6 2/3 % D) 8 1/8 % E) 8 1/9 %

Solution: C.P. of 1 kg = 420/70 = Rs. 6   S.P. of 1 kg = Rs. 6.40   Gain % = 0.40/6 * 100 = 20/3   = 6 2/3 %   Answer:6 2/3 %
Answer: C
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?	Answers:
A) 60%  B) 80%  C) 100%  D) 120%  E) 140%

Solution: Explanation:   A 80% C D   90 100 80 100   A D   90 ----- 100   360 ------ ? = 400   500 ------ 400   100 ------- ? => 80%   80%)
Answer: B
Which is better investment: 11% stock at 143 or 9 3/4% stock at 117? Choose the correct choice from the following choices:  A) 11% stock at 143  B) 9 3/4% stock at 117  C) Both are equally good  D) Cannot be compared, as the total amount of investment is not given  E) None

Solution: Let investment in each case be Rs. (143 x 117).   Income in 1st case = Rs.11 x 143 x 117/143	= Rs. 1287.   Income in 2nd case = Rs.39 x 143 x 117/(4*117)	= Rs. 1394.25   Clearly, 9 3/4% stock at 117 is better.   ANSWER:9 3/4% stock at 117
Answer: B
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Pick one:
A) 3 4/9 days	B) 8 4/9 days	C) 9 3/8 days	D) 6 3/8 days	E) none of these

Solution: 1/15 + 1/25 = 8/75   75/8 = 9 3/8 days   ANSWER:9 3/8 days
Answer: C
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?  Choose the correct choice from the following answers
A) 6029	B) 6299	C) 6000	D) 6018	E) 60012

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 18000= 
1/3 * 18000 = 6_000
6000   Answer:6000
Answer: C
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?  Choices:	A) s.4538	B) s.6342	C) s.4518	D) s.4530	E) s.4517

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 7 = Rs.6342   Answer: s.6342
Answer: B
What is the probability that you will get a sum of 8 when you throw three dice simultaneously? Options:	A) 21/6^3.	B) 23/6^3.	C) 25/6^3.	D) 27/6^3.	E) 29/6^3.

Solution: This sum of 8 can occur in the following cases:   1-1-6 --> 3!/2!=3 ways;   1-2-5 --> 3!=6 ways;   1-3-4 --> 3!=6 ways;   2-2-4 --> 3!/2!=3 ways;   2-3-3 --> 3!/2!=3 ways.   Total of 3+6+6+3+3= 
3+6+6+3+3 = 21
21 ways.   Now, since the total number of outcomes is 6^3, then the probability is 21/6^3.   21/6^3.NSWER:21/6^3.
Answer: A
In a certain code language, “ORANGE” is written as “NTETOO”. How would “BLACK” be written in that language ?
Choices
A) ANEIS
B) UGDII
C) GIKHK
D) HOUH
E) AHKSS

Solution: Explanation:   ANEIS B C D E F G H I J K L M N O P Q R S T U V W X Y Z   letter position   ANEISNSWER: ANEIS
Answer: A
If 50% of x equals the sum of y and 20, then what is the value of x–2y? Choose the correct option:
A) 20
B) 40
C) 60
D) 80
E) 90

Solution: Explanation :   Given, 50% of x equals the sum of y and 20.   =>(50/100)×x=y+20.   =>x/2=y+20.   =>x=2y+40.   =>x–2y= 40.   Answer : 40
Answer: B
The speed at which a man can row a boat in still water is 6.5 kmph. If he rows downstream, where the speed of current is 2.5 kmph, what time will he take to cover 90 metres?	Select: A) 90 seconds B) 36seconds C) 26 seconds D) 18 seconds E) 6.5 seconds

Solution: Speed of the boat downstream = 6.5 + 2.5= 
6.5 + 2.5 = 9
9 kmph= 9 * 5/18= 
9 * 5/18 = 5/2 = around 2.5
2.5 m/s   Hence time taken to cover 90m=90/2.5= 
90/2.5 = 36
36 seconds.   Answer:36seconds
Answer: B
If -4 < x < 7 and -5 < y < 3, which of the following specifies all the possible values of xy? Pick one:
A) -42 < xy < 21
B) -42 < xy < 24
C) -28 < xy < 18
D) -24 < xy < 21
E) -35 < xy < 20

Solution: The least value of xy is a bit more than 7*(-5)=-35 and the largest value of xy is a bit less than (-4)*(-5)= 
(-4)*(-5) = 20
20.   Therefore -35 < xy < 20.   Answer: -35 < xy < 20.
Answer: E
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Options.
A) 12	B) 28	C) 42	D) 72	E) 11

Solution: required area = 14*14 - (4 * 1/4 * 22/7 * 7 *7) sq cm   = 196 - 154= 
196 - 154 = 42
42 sq cm.   Answer: 42
Answer: C
When 28 is divided by the positive integer s, the remainder is 1. What is the sum of all the possible values of s for which this is true?  Choose the correct choice from the following answers.
A) 2  B) 3  C) 9  D) 30  E) 39

Solution: The only possible values of the form 28=sp+1 are 3,9 or 27   The sum = 3+9+27= 
3+9+27 = 39
39. E is the correct answer. We dont need to look for values >28 as all these values will leave a remainder of 28 and not 1.
Answer: E
A man takes 3 hours 45 minutes to row a boat 10 km downstream of a river and 2 hours 30 minutes to cover a distance of 3 km upstream. Find the speed of the current.	Pick one.
A) 1 km/hr B) 1/2 km/hr C) 3/4 km/hr D) 4 km/hr E) None of these

Solution: Explanation:   First of all, we know that   speed of current = 1/2(speed downstream - speed upstream) [important]   So we need to calculate speed downstream and speed upstream first.   Speed = Distance / Time [important]   Speed upstream =(10/3 3/4)km/hr   =8/3km/hr   Speed Downstream = (3/2 1/2)km/hr   =6/5km/hr   So speed of current = 1/2(8/3−6/5)   =3/4km/hr   Option 3/4 km/hr
Answer: C
if At what time between 7 & 2 will the hands of a watch point in opposite directions?  Choose the correct choice from the following
A) 50 4/11 min past 4  B) 50 4/11 min past 1  C) 50 4/81 min past 7  D) 50 4/81 min past 2  E) 50 4/11 min past 6

Solution: At 4 o'clock, the hands of the watch are 20 min. spaces apart.   To be in opposite directions, they must be 30min. spaces apart.   Minute hand will have to gain 5 min. spaces.   55min spaces are gained in 60 min.   5 min. spaces are gained in (60/55 * 50) min. or 54 6/11 min.   Required time = 54 6/11 min. past 4.   50 4/11 min past 4nswer: Option '50 4/11 min past 4'
Answer: A
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in? Choose the correct answer.
A) 33
B) 878
C) 30
D) 88
E) 11

Solution: 30 = 1/5 – 1/6 = 1/30 => 30 days   Answer: 30
Answer: C
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?	Select the correct option:
A) 12 m	B) 25 m	C) 127.5 m	D) 32m	E) 56m

Solution: Explanation:   When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 600 m, the number of meters by which A beats C= (600 * 212.5)/1000= 
(600 * 212.5)/1000 = 127.5
127.5 m.   ANSWER 127.5 m
Answer: C
An urn contains 5 black and 3 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black? Select.
A) 1/5  B) 3/7  C) 5/14  D) 3/5  E) 2/7

Solution: Let E and F denote respectively the events that first and second ball drawn   are black. We have to find P(E n F) or P (EF).   Now P(E) = P (black ball in first draw) = 5/8   Also given that the first ball drawn is black, i.e., event E has occurred, now there are 4 black balls and Eight white balls left in the urn. Therefore, the probability that the second ball drawn is black, given that the ball in the first draw is black, is nothing but the conditional probability of F given that E has occurred.   That is P(F|E) = 4/7   By multiplication rule of probability, we have   P (E n F) = P(E) P(F|E)   = 5/8 × 4/7 = 5/14   5/14
Answer: C
Set S consists of integers {4, 7, 10, 14, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 50%. What is the value of integer n?	Answers
A) 28
B) 32
C) 36
D) 40
E) 44

Solution: The average of the numbers in set S is 10.   If we increase the mean by 50%, the new mean is 15.   Thus, on average, 5 numbers increase by 5.   Therefore n = 15+25= 
15+25 = 40
40   The answer is 40.
Answer: D
What is least possible value of |23 - 7y| is  Select
A) 0 B) 1 C) 2 D) 5 E) 9

Solution: Since y can be 0NY number, we can minimize the value of |23 - 7y| by setting 23 - y equal to zero   If 23 - 7y = 0, then 23 = 7y, which means y = 23/7   In other words, when y = 23/7, we find that |23 - 7y| = 0   0nswer:0
Answer: A
find the terms which do not contain 7 between 1000 and 9999
Pick
A) 9000 B) 8000 C) 8500 D) 8800 E) 8900

Solution: Total number of four digit numbers =9000 (i.e 1000 to 9999 )   We try to find the number of numbers not having digit 2 in them.   Now consider the units place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Tens place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Hundreds place it can be selected in 9 ways (i.e 0,1,2,3,4,5,6,8,9)   Thousands place can be selected in 8 ways (i.e 1,2,3,4,5,6,,8,9) here '0' cannot be taken   Total number of numbers not having digit 7 in it =9 x 9 x 9 x 8 =5832   9000lso,Total number of numbers having digit 7 in it = 9000-5832= 
9000-5832 = 3_168
3168   9000NSWER:9000
Answer: A
If the sum of six numbers is between 135 and 164, then the average (arithmetic mean) of the six numbers could be which of the following? Select:
A) 15.4.
B) 20.5.
C) 25.5.
D) 31.25.
E) 32.5.

Solution: 135/6= 
135/6 = 45/2 = around 22.5
22.5   164/6=27.33   Only C fits in between these two limits.   Answer: 25.5.
Answer: C
Sum of the squares of three numbers is 522 and the sum of their products taken two at a time is 131. Find the sum? Choose the most appropriate option
A) 20  B) 22  C) 25  D) 27  E) 28

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 522 + 2* 131   a + b + c = √784 = 28   28
Answer: E
What number fits best in the missing place?
_	4	5	3	5
9	5	7	10	3	Select the correct option.
A) 3 B) 8 C) 4 D) 5 E) 6

Solution: C   4   5 = Five (four letters) => 4   7 = Seven (five letters) => 5   10 = Ten (three letters) => 3   3 = Three (five letters) => 5   Therefore, 9 = Nine (four letters) => 4.   Therefore the missing number is 4.
Answer: C
A man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. Find the speed of the stream? Pick one:
A) 6 kmph
B) 5 kmph
C) 9 kmph
D) 8 kmph
E) 1 kmph

Solution: Speed downstream = d/t = 84/(2)= 
84/(2) = 42
42 kmph   Speed upstream= d/t = 48/(2)= 
48/(2) = 24
24 kmph   The speed of the stream= (42 - 24)/2= 
(42 - 24)/2 = 9
9 kmph   Answer:9 kmph
Answer: C
How many of the positive factors of 25 , 150 and how many common factors are there in numbers?	Choose the correct choice:	A) 2	B) 4	C) 3	D) 5	E) 1

Solution: factors of 25 - 1, 5, 25   factors of 150 - 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150   3omparing both, we have three common factors of 25 and 150- 1,5,25   Answer(3)
Answer: C
When n is divided by 12, the remainder is 2. What is the remainder when 4n is divided by 5?
Choose one
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Let n=2 (leaves a remainder of 2 when divided by 15)   4n = 4(2) =8, which leaves a remainder of 3 when divided by 5.   Answer 3
Answer: C
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is?  Choose the correct choice from the following answers.
A) 4pm  B) 3pm  C) 5pm  D) 6pm  E) 7pm

Solution: Time from 7 am to 4.15 pm = 9 hrs 15 min = hrs   3 min. 5 sec. of this clock = 3 min. of the correct clock.   Now 3min.5sec. is hrs of this clock = 3 min.is hrs of the correct clock   hrs of clock = hrs of the correct clock.   = 9 hrs of the correct clock.   The correct time is 9 hrs after 7 am. i.e., 4 pm.   4pmnswer: 4pm
Answer: A
The measure of the side of a square is quadrupled. If x represents the perimeter of the original square, what is the value of the new perimeter?	Choose the most appropriate option: A) 3x B) 4x C) 9x D) 12x E) 27x

Solution: Original perimeter = x   Hence original side = x/4   New side = 4x/4   New perimeter = 4*4x/4 = 4x   Correct Option: 4x4*4 /4= 
4*4 /4 = 4
4x   Correct Option: 4x
Answer: B
A train travels from Albany to Syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?
Select:
A) 31.25
B) 30
C) 32
D) 34
E) 36

Solution: 50*T =100 THEREFORE T = 100/50= 
100/50 = 2
2   ON RETURN SPEED * ( 5.4 -2)=100 THEREFORE T = 100/3.2= 
100/3.2 = 31.25
31.25   31.25
Answer: A
What is the present worth of Rs. 396 due in 2 years at 5% simple interest per annum?	Choices:
A) 128	B) 277	C) 120	D) 360	E) 371

Solution: Let the present worth be Rs. x. Then,   S.I. = (396 - x)   (x * 5 * 2) / 100 = (396 - x)   10x = 39600 - 100x   110x = 39600 => x = 360.   Answer: 360
Answer: D
Meg and Bob are among the 4 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?  Answers:  A) 12  B) 30  C) 60  D) 90  E) 120

Solution: Total # of ways the race can be finished is 4!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 4!/2=12.   12nswer: 12.
Answer: A
If GAVE is coded as 4657 and BAT is coded as 229. How is GATE coded?	Pick:
A) 4697 B) 4967 C) 4976 D) 7496 E) 4796

Solution: g-4 a-6 e-7 from the code gate   t - 9 from bat   4697NSWER:4697
Answer: A
Last year the price per share of Stock N increased by x percent and the earnings per share of Stock N increased by y percent, where x is greater than y. By what percent did the ratio of price per share to earnings per share increase, in terms of x and y?	Choose the correct choice from the following:
A) x/y%
B) (100+y) %
C) 100*(x-y)%
D) 100*(x-y)/(100+y) %
E) (x-y)/(100+y) %

Solution: 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+x/100) and the new earning is: E*(1 +y/100)   The new P/E is: (1+x/100)P/(1+y/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+x/100)/(1+y/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:   100*(x-y)/(100+y) %   Answer : 100*(x-y)/(100+y) %
Answer: D
What is the sum of all three digit integers formed using the digits 1, 2, and 3 (repetition is allowed)  Options
A) 4443  B) 5980  C) 5992  D) 5990  E) 5994

Solution: n = 3*3*3= 
3*3*3 = 27
27   <x></x>= (333 + 111) / 2= 
(333 + 111) / 2 = 222
222   Sum= number of integers x average value   n * <x> </x>= 27 * 222= 
27 * 222 = 5_994
5994   answer= 5994
Answer: E
A trader mixes 26 kg of rice at Rs. 10 per kg with 30 kg of rice of other variety at Rs. 20 per kg and sells the mixture at Rs. 20 per kg. His profit percent is: Choose the correct choice from the following options
A) No profit, no loss	B) 30.23%	C) 8%	D) 10%	E) None of these

Solution: C.P. of 56 kg rice = Rs. (26 x10 + 30 x20) = Rs. (260 + 600) = Rs. 860   S.P. of 56 kg rice = Rs. (56 x 20) = Rs. 1120   Gain =260/860x100% = 30.23%   Answer: Option 30.23%
Answer: B