MU-NLPC/Calc-aqua_rat huggingface dataset:
Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are
Choose one:
A) 6, 8	B) 9, 12	C) 12, 16	D) 16, 20	E) None

Solution: Solution   Let the numbers be 3x and 4x. Then,   (4x)2 = 8 x (3x)2 - 224   ‹=›16x2 = 72x2 - 224   ‹=›56x2 = 224.   ‹=›x2 = 4.   ‹=›x = 2.   So, the numbers are 6 and 8.   6, 8nswer 6, 8
Answer: A
How many kg of sugar costing Rs.9/kg must be mixed with 27kg of sugar costing Rs.7/ kg so that there may be a gain of 10% the mixture at Rs.9.24/kg?  Answers:  A) 36  B) 45  C) 56  D) 61  E) 63

Solution: Selling Price(SP) of 1 kg mixture= Rs. 9.24   Profit = 10%   Cost Price(CP) of 1 kg mixture =100(100+Profit%)×SP   =100(100+10)×9.24=100110×9.24=92.411= Rs.8.4   By rule of alligation,   CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind   Rs. 9 Rs. 7   Mean Price   Rs.8.4   8.4 - 7= 
8.4 - 7 = 1.4
1.4 9 - 8.4= 0.6   i.e., to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the ratio 1.4 : 0.6 = 14 : 6 = 7 : 3   Suppose x   kg of kind1 sugar is mixed with 27 kg of kind2 sugar.   then x : 27 = 7 : 3   ⇒3x=27×7⇒x=9×7=63   63
Answer: E
A man walks from B to C, a distance of x miles, at 10 miles per hour and returns at 12 miles per hour. What is his average speed?
Choose the correct choice from the following answers:
A) 10.9 mph
B) 9.6 mph
C) 8.8 mph
D) 8.4 mph
E) 4 mph

Solution: Total distance covered = 2x   Time taken12miles / hour = x/12 hrs   Time taken @ 10 miles / hour = x/10 hrs   10.9 mphvg speed = 2x / (x/9 + x/12) = 10.9 mph   10.9 mphns is 10.9 mph
Answer: A
Today is Monday. After 61 days, it will be :	Choose the correct option:  A) Thursday  B) Saturday  C) Monday  D) Sunday  E) Wednesday

Solution: Each day of the week is repeated after 7 days.   So, after 63 days, it will be Monday.   After 61 days, it will be Saturday.   Answer is Saturday.
Answer: B
If p and e are positive integers such that p > e > 1, what is the remainder when 92p × 5p+e + 11e × 6pe is divided by 10?	Choices: A) A.0 B) B.1 C) C.3 D) D.4 E) E.5

Solution: 92p × 5p+e + 11e × 6pe--1=B.1
Answer: B
The present ages of three persons in proportions 2 : 3 : 5. Five years ago, the sum of their ages was 35. Find their present ages (in years).  Choose the correct choice from the following answers:
A) 8, 20, 28
B) 16, 28, 36
C) 20, 35, 45
D) 10,15,25
E) None of these

Solution: Explanation:   Let their present ages be 2x, 3x and 5x years respectively.   Then, (2x - 5) + (3x - 5) + (5x - 5) = 35   10x = 50   x =5   Their present ages are 2x = 10 years, 3x = 15 years and 5x = 25 years respectively.   Answer: 10,15,25
Answer: D
The speed of a boat in still water in 20 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 12 minutes is:	Choices:
A) 10.6 B) 5.2 C) 10.8 D) 5.4 E) 5.0

Solution: Speed downstream = (20 + 6)= 
(20 + 6) = 26
26 kmph   Time= 24 minutes =12/60 hour = 1/5 hour   Distance travelled = Time × speed =1/5×26 = 5.20 km   Answer is 5.2.
Answer: B
In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you?  Answers:
A) 0	B) 4	C) 6	D) 12	E) 15

Solution: A   The answer is 0.   As   6 / 7 = 42 but the answer is written as 2   3 / 9 = 27 but the answer is written as 7   8 / 2 = 16 but the answer is written as 6   If we look at the answers, the second digit has been used in the problem.   Now, as   4 / 5 = 20 and the second digit is 0, the answer is 0.
Answer: A
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 10%. By approximately what percent would the output now have to be decreased in order to restore the original output?
Select:
A) 20%
B) 24%
C) 30%
D) 32%
E) 17%

Solution: The original output increases by 10% and then 10%.   Total % change = a + b + ab/100   Total % change = 10 + 10 + 10*10/100= 
10 + 10 + 10*10/100 = 21
21%   Now, you want to change it to 0, so,   0= 21 + x + 21x/100   x = -21(100)/121 = 17% approximately   Answer is 17%
Answer: E
Mr Sharad started a business investing 50000. Four months later Mr Praveen joined the business by investing 90000. If the profit in the business at the end of the year was 22000 how much amount would Mr Praveen have received as the profit?	Options:
A) 16000	B) 14000	C) 12000	D) 11000	E) None of these

Solution: Ratio of their investment   = 50000 × 12 : 90000 × 8 = 5 : 6   \ Amount received by Praveen = 6⁄11 × 22,000   = 12,000   Answer 12000
Answer: C
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/3 of all the paint. During the second week, he uses 1/5 of the remaining paint. How many gallons of paint has Joe used?  Select the correct option: A) 168 B) 144 C) 175 D) 216 E) 250

Solution: Total paint initially = 360 gallons   Paint used in the first week = (1/3)*360= 
(1/3)*360 = 120
120 gallons.   Remaning paint= 240 gallons   Paint used in the second week = (1/5)*240= 
(1/5)*240 = 48
48 gallons   Total paint used= 168 gallons.   Option 168
Answer: A
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes? Pick one.
A) 450
B) 570
C) 480
D) 520
E) 550

Solution: Let the total number of valid votes be x.   70% of x = 70/100 * x = 7x/10   Number of votes secured by the other candidate = x - 7x/100 = 3x/10   Given, 7x/10 - 3x/10 = 180 => 4x/10 = 180   => 4x = 1800 => x = 450.   450NSWER:450
Answer: A
A salesman travels a distance of 100 km in 5hours. How much faster in kilometer per hour, on an average, must he travel to make such trip in 1 hour less time? Choices
A) 2km/hr
B) 3km/hr
C) 5km/hr
D) 7km/hr
E) 10km/hr

Solution: Time required = 5 hrs- 1hr = 4hr   Required speed = 100/4= 
100/4 = 25
25km/hr   Original speed= 100/5= 
100/5 = 20
20 km/hr   Difference= 25-20= 
25-20 = 5
5 km/hr   Answer is 5km/hr
Answer: C
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
A.
B.
C.
D.
E.	Select: A) 5 B) 10 C) 24 D) 32 E) 120

Solution: let 1,2,3,4,5 are people.   1. we fix position of 1   2. we have 4*3= 
4*3 = 12
12 possible positions for left and right neighbors of 1.   3. for each position of x1y we have 2 possible positions for last two people: ax1yb and bx1ya.   Therefore, N=12*2= 
12*2 = 24
24 ANS:24
Answer: C
In what time will a train 90 m long cross an electric pole, it its speed be 72 km/hr?	Select the correct option
A) 1.5	B) 2.5	C) 3.5	D) 4.5	E) 5.5

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Time taken= 90/20= 
90/20 = 9/2 = around 4.5
4.5 sec.   Answer: 4.5
Answer: D
What do you get if you add 2 to 308 five times? Select
A) 305	B) 317	C) 320	D) 310	E) 309

Solution: 310   310 , 310 , 310 , 310 , 310
Answer: D
If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?  Options:  A) 120  B) 240  C) 360  D) 1200  E) 480

Solution: 10 men 120 acres 15 days   20 men ? 30 days   120 * 20/10 * 30/15   120 *2 * 2   120 * 4= 
120 * 4 = 480
480   Answer:480
Answer: E
A WNBA player just signed a new contract in which she will earn a 5% increase in base pay from last year to this year. Last year, she did not have a performance bonus; but this year, she will have the opportunity to earn up to a $40,000 performance bonus. If she earns the full performance bonus, her new effective salary will be a 7% raise over last year. What will her new salary be if she earns the full performance bonus? Pick one.
A) 2,120,000  B) 2,140,000  C) 2,180,000  D) 2,240,000  E) 2,260,000

Solution: let x = last year's salary   the new base pay + 40,000 = the new effective pay   (1+.05)*x + 40,000 = (1+.07)*x   1.05x + 40,000 = 1.07x   40,000 = .02x   2,000,000 = x   thus the new salary = (1+.07)*2,000,000 = 2,140,000   2,140,000
Answer: B
A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red?  Choose the most appropriate option
A) 5/15
B) 2/21
C) 20/15
D) 5/210
E) 4/14

Solution: Of the 15 marbles we are wanting red:   Probability of choosing 1st red marble: 5/15   Probability of Choosing 2nd red marble: 4/14   Multiply and you get 20/210 simplified to 2/21   Answer 2/21.
Answer: B
How many three digits no. can be formed also including the condition that the no. can have at least two same digits ?  Choose the correct choice from the following options
A) 223  B) 252  C) 077  D) 160  E) 111

Solution: Explanation:   Total number of 3 digit numbers = 9×10×10 = 900   Total number of numbers in which no digit repeats = 9×9×8 = 648   So the total number of numbers in which at least one digit repeats = 900 - 648= 
900 - 648 = 252
252   Answer:252
Answer: B
Luke and Ben are in a relay race. Luke runs the first leg of the course in 59 seconds. Ben runs the second leg of the course in 48 seconds. What was the average time they took to run a leg of the course?	Choose the correct choice from the following options:
A) 107 seconds	B) 59 seconds	C) 48 seconds	D) 53.5 seconds	E) 35.5 seconds

Solution: (59 seconds +48 seconds)/2= 53.5 seconds   Correct option is: 53.5 seconds
Answer: D
A sports equipment store sold ping pong rackets for a total of $539. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?	Pick one:  A) 55  B) 100  C) 490  D) 500  E) 980

Solution: Average price for a pair of rackets = $9.8   Total cost = $9.8*x = $539   x = 55 pairs were sold.   55NSWER:55
Answer: A
0.032 x 0.0162 is equal to:
Choose the most appropriate option.
A) 6.48 x 10(power -4)  B) 6.84 x 10(power -4)  C) 4.68 x 10(power -4)  D) 5.184 x 10(power -4)  E) None of them

Solution: 32 x 162 = 5184. Sum of decimal places = 7.   So, 0.32 x 0.0162 = 0.0005184 = 5.184 x 10(power -4)   Answer is 5.184 x 10(power -4)
Answer: D
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 450 tiles in the floor, how many tiles does the leftmost row contain?  Choose the correct choice from the following answers.
A) 52 B) 58 C) 60 D) 64 E) 68

Solution: This question can be solved in a variety of ways: with algebra, by TESTing THE ANSWERS and by using a great Number Property shortcut involving consecutive integers.   We're given a few facts to work with:   1) There are 9 rows of tiles.   2) When going from 'left to right', each row contains TWO FEWER tiles than the one next to it.   3) There are a total of 450 tiles   We're asked how many tiles the left-most most row holds (meaning the one with the MOST tiles).   To start, 450 is divisible by 9, so we can figure out the AVERAGE number of tiles per row. That is 450/9= 
450/9 = 50
50. Since we're dealing with a set of 9 consecutive integers that differ by 2 each, we know that the '5th row' will have 50 tiles (the average). Then we just have to 'add 2s' until we get to the first row...   50 +2 +2 +2 +2= 
50 +2 +2 +2 +2 = 58
58.   Final Answer:   58
Answer: B
In an examination, a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 30 questions and secures 130 marks, the no of questions he attempts correctly is : Pick: A) A)35 B) B)40 C) C)90 D) D)88 E) E)37

Solution: Let the number of correct answers be X.   Number of incorrect answers = (60 – X).   3x – (30 – x) = 130   => 4x = 160   => x = 40   Answer:40
Answer: B
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 40. Then find the average for the last four matches? Select the correct option:
A) 37.25
B) 33.5
C) 34.25
D) 35
E) none

Solution: Solution   Required average	=(38.9 x 10)-(40 x 6)/ 4   = 149 / 4.= 
149 / 4. = 37.25
37.25   37.25nswer 37.25
Answer: A
Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from Choose the correct option:
A) 10 to 40
B) 40 to 100
C) 60 to 100
D) 60 to 110
E) 70 to 110

Solution: 110 students study French   190 students do not study French   170 students study Spanish   130 students do not study Spanish   90 students study neither French nor Spanish   190-130= 
190-130 = 60
60   190-90= 
190-90 = 100
100   C. 60 to 100   ANSWER:60 to 100
Answer: C
In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you? Choose the correct choice from the following answers: A) 0 B) 1 C) 2 D) 3 E) 10

Solution: A   The answer is 0.   As   6 / 7 = 42 but the answer is written as 2   3 / 9 = 27 but the answer is written as 7   8 / 2 = 16 but the answer is written as 6   If we look at the answers, the second digit has been used in the problem.   Now, as   4 / 5 = 20 and the second digit is 0, the answer is 0.
Answer: A
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
Choose the correct option: A) 11 B) 11.2 C) 11.4 D) 11.5 E) None

Solution: Solution   Middle number	= [(10.5x6+11.4x6) - 10.9x11]   = (131.4 - 119.9)   = 11.5.   Answer 11.5
Answer: D
There are 145 bananas lying in a shop which is to be divided equally among 12 candidates. Find the extra number of bananas lying with the shop owner after distribution.
Options.
A) 1  B) 2  C) 3  D) 4  E) 9

Solution: 145 divided by 12 = 12x12+1. That is, 1 banana will be extra after distributing 12 bananas to each candidate (12 in number). 1nswer 1.
Answer: A
The ratio of male to female in a class is 2:4. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two-third of the females in the class?	Choose the correct choice from the following answers
A) a)160 degree	B) b) 168 degree	C) c)191 degree	D) d)192 degree	E) e)200 degree

Solution: here is my approach => males => 2x and females =4x => total =6x   now 6x=> 360   therefore 10x/3 => 200 degree .   P.S => 10x/3 is nothing but total number of students with the given preference   Answer e)200 degree
Answer: E
If A speaks the truth 55% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time Choose the correct choice from the following
A) 0.29 B) 0.33 C) 0.41 D) 0.482 E) 0.411

Solution: Explanation:   Probability that A speaks truth is 55/100= 
55/100 = 11/20 = around 0.55
0.55   Probability that 0.33 speaks truth is   60/100= 
  60/100 = 3/5 = around 0.6
0.6   Since both A and 0.33 are independent of each other   So probability of A intersection 0.33 is P(A) × P(0.33)=0.55 × 0.6 = 0.33   Answer: 0.33
Answer: B
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?	Choose the correct choice from the following answers:	A) 76	B) 35	C) 25	D) 28	E) 62

Solution: Average = total runs / no.of innings = 32   So, total = Average x no.of innings = 32 x 10 = 320.   Now increase in avg = 4runs. So, new avg = 32+4= 
32+4 = 36
36runs   Total runs= new avg x new no. of innings = 36 x 11 = 396   Runs made in the 11th inning = 396 - 320= 
396 - 320 = 76
76   76nswer: 76
Answer: A
The speeds of 3 cars in the ratio 5:4:6. The ratio between time taken by them to travel the same distance is?	Select the correct option.
A) 1:2:3
B) 5:7:12
C) 12:15:10
D) 22:23:25
E) 9:11:17

Solution: Ratio of time taken is = 1/5 : 1/4 : 1/6 = 12:15:10   Answer is 12:15:10
Answer: C
If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number Pick one.
A) 1 only.
B) 2 only.
C) 3 only.
D) 1 and 2 only
E) 1, 2 and 3.

Solution: (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true   (2) A x B is also a prime number. : Beats the property of primes, so false   (3) A^B is also a prime number. : Beats the property of primes, so false   Ans :1 and 2 only
Answer: D
What is the sum of the different positive prime factors of 630?
Select:
A) 7
B) 10
C) 17
D) 20
E) 24

Solution: The prime factorization of 630   = 63 * 10   = 7*9 * 2*5   = 7*3^2 * 2*5   The sum of the different positive prime factors = 2+3+5+7= 
2+3+5+7 = 17
17   The answer is 17.
Answer: C
The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).  Select the correct option
A) 178.89 cm  B) 178.29 cm  C) 178.79 cm  D) 177.89 cm  E) 178.69 cm

Solution: Calculated average height of 35 boys = 180 cm.   Wrong total height of 35 boys = 180 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 180 * 35 cm - 166 cm + 106 cm   = 180 * 35 cm - 166 cm + 106 cm/35 = 180 cm - 60 /35 cm   = 180 cm - 1.71 cm = 178.29 cm.   Answer: 178.29 cm
Answer: B
In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do not sit together? Choose the correct option.
A) 13! - (10! × 4!) B) 13! × 4! C) 14! D) 10! × 4! E) None of these

Solution: Explanation :   Initially let's find out the total number of ways in which 10 engineers and 4 doctors   can be seated at a round table   In this case, n = total number of persons = 10 + 4= 
10 + 4 = 14
14   Hence the total number of ways in which 10 engineers and 4 doctors can be seated at a round table= (14-1)= 
(14-1) = 13
13! ---(A)   Now let's find out the total number of ways in which 10 engineers and 4 doctors   can be seated at a round table where all the 4 doctors sit together.   Since all the 4 doctors sit together, group them together and consider as a single doctor.   Hence, n= total number of persons = 10 + 1= 
10 + 1 = 11
11   These 11 persons can be seated at a round table in  (11-1)= 
 (11-1) = 10
10! ways ---(B)   However these 4 doctors can be arranged among themselves in 4! Ways ---(C)   From (B) and (C), the total number of ways in which 10 engineers and 4 doctors   can be seated at a round table where all the 4 doctors sit together= 10! 4! ---(D)   From (13! - (10! × 4!)) and (D),   The total number of ways in which 10 engineers and 4 doctors can be seated at a round table   if all the 4 doctors do not sit together = 13! - (10! 4!)   13! - (10! × 4!)nswer : 13! - (10! × 4!)
Answer: A
A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?
Options:
A) 12 hrs
B) 24 hrs
C) 36 hrs
D) 48 hrs
E) 42 hrs

Solution: Time taken by leak to empty tank = 1/(1/16-1/24)= 
1/(1/16-1/24) = 48
48 hrs   ANSWER:48 hrs
Answer: D
In how many different ways can 3 physics, 2 math, and 3 chemistry books be arranged in a row so that all books of the same subject are together? Choose the correct choice from the following answers: A) 432 B) 456 C) 512 D) 556 E) 624

Solution: Let's think of each subject as a group so there are 3 groups.   The number of ways to arrange these 3 groups is 3!   Within each subject the books can be re-arranged.   So we need to multiply 3! by 3!*2!*3! which is 3!*3!*2!*3! = 432   The answer is 432.
Answer: A
(11^2+12^2+13^2+......+20^2)=? Options:
A) 385 B) 2485 C) 2870 D) 3255 E) None of them

Solution: =(1^2+2^2+3^2+......+30^2)-(1^2+2^2+3^2+......+10^2)   =(20x21x41/6 - 10x11x21/6)   Therefore, (1^2+2^2+....+n^2)=1/6n(n+1)(2n+1)   =(2870-385)= 
(2870-385) = 2_485
2485.   Answer is 2485
Answer: B
Which of the following numbers is the number 2 not a prime factor?  Choose the correct option
A) 30
B) 48
C) 76
D) 82
E) 99

Solution: 30=2*3*5   48=2^4*3   76=2^2*19   82=2*41   99=3^3*11   99 has 2, none of which is 2.   Answer 99
Answer: E
If 36 men can do a piece of work in 25 hours, in how many hours will 14 men
do it ?
Choose the most appropriate option:
A) 65 hours	B) 64 hours	C) 30 hours	D) 62 hours	E) 66 hours

Solution: Let the required number of hours be x. Then,   Less men, More hours	(Indirect Proportion)   14 : 36 : : 25 : x	(14 x x) = (36 x 25)	(36 x 25)/14 ~ 64   Answer is 64 hours.
Answer: B
If $ 5,000 is invested in an account that earns 16% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?	Choose the correct option
A) $ 4 B) $ 8 C) $ 12 D) $ 16 E) $ 432

Solution: Solution   Amount (CI) = P+(1+r/n)^nt = 5000+(1+0.16/2)^2= 5416   Amount (SI) = P+PTR/100 = 5000+(5000*1*16/100)=5400   $ 16ifference = 5416-5400= 
5416-5400 = 16
16 $   $ 16
Answer: D
Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 16.9 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?  Pick one:	A) 12.0	B) 12.1	C) 12.2	D) 13.0	E) 12.4

Solution: let say the factor is x, the at 7PM quantity = 10 (i.e. quantity @1PM)* x^2 =16.9 => x^2 =1.69 or x = 1.3 => @4PM quantity = 10x =10*1.3= 
10*1.3 = 13
13.   Answer 13.0
Answer: D
If a discount of 16% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 20% the gain percent is Choose the correct choice from the following answers:
A) 14 2/7%	B) 14 1/7%	C) 14 3/7%	D) 14 4/7%	E) 14 5/7%

Solution: Let MP = 100, then SP = 100 - 16= 
100 - 16 = 84
84.   CP= SP*100/(100 + Gain%) = 8400/120= 
8400/120 = 70
70.   When discount= 20, SP = 80.   Thus gain % = (80 - 70)/70 * 100 = 14 2/7 %.   14 2/7%NSWER:14 2/7%
Answer: A
In a match in team X, 3% candidates got selected from the total appeared candidates. team X had an equal number of candidates appeared and 12% candidates got selected with 27 more candidates got selected than ream x. what was the number of candidates appeared from each team?  Choose the correct answer.
A) 300
B) 200
C) 258
D) 456
E) 187

Solution: Explanation :   Solution: Let the number of candidates appeared from each team be x.   then, 12% of x - 3% of x =26.   =>9% of x =27   =>9x/100 =27 => x =27*100/9= 
27*100/9 = 300
300   300nswer : 300
Answer: A
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 175 girls, the total number of students in the college is? Choose the correct choice from the following choices:
A) 562
B) 356
C) 455
D) 416
E) 512

Solution: Let the number of boys and girls be 8x and 5x   Then , 5x = 175   x= 35   Total number of students = 13x = 13*35= 
13*35 = 455
455   Answer is 455
Answer: C
The maximum numbers of students among them 781 pens and 710 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is  Choose the correct choice from the following:	A) 71	B) 910	C) 1001	D) 1911	E) None

Solution: olution   Required number of students.   = H.C.F of 781 and 710.   â€¹=â€º 71.   71nswer 71
Answer: A