MU-NLPC/Calc-aqua_rat huggingface dataset:
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
Choose one:
A) 21	B) 42	C) 1500	D) 600	E) 720

Solution: Vowel: E O   1500onsonants: V R M N T   First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)   Fifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)   Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter   Second letter can be filled in 5 Ways   Third letter can be filled in 4 Ways   Fourth letter can be filled in 3 Ways   So, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500   Answer 1500
Answer: C
A batsman scored 120 runs which included 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets Choose the most appropriate option
A) 30%  B) 50%  C) 60%  D) 80%  E) 90%

Solution: Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50%   50%
Answer: B
Hyderabad Chennai Mumbai Delhi Bangalore Trivandram ;
Hyderabad
Chennai
Mumbai
Delhi
Bangalore
Trivandram
In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities? Choose the correct option.
A) 20  B) 18  C) 14  D) 15  E) 16

Solution: Easy way to go about this problem is we have 6*6= 
6*6 = 36
36 enteries in table the least number of enteries would be (36 - 6) /2 since 6 enteries represent the distances between same points .   Alternatively this can be solved as combination problem.   Correct Answer 15
Answer: D
The average age of a group of 20 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?	Choose the correct choice from the following options:
A) 22 years B) 30 years C) 42 years D) 32 years E) None of these

Solution: Answer   The average age of a group of 20 students is 20.   Therefore, the sum of the ages of all 20 of them = 20 * 20= 
20 * 20 = 400
400   When two new students join the group, the average age increases by 2. New average= 22.   Now, there are 22 students.   Therefore, the sum of the ages of all 22 of them = 22 * 22= 
22 * 22 = 484
484   Therefore, the sum of the ages of the two new students who joined= 484 - 400= 
484 - 400 = 84
84   And the average age of each of the two new students= 84/2= 
84/2 = 42
42 years.   Answer 42 years
Answer: C
A train traveled the first d miles of its journey it an average speed of 40 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 96 miles per hour, what is the value of y?  Choose the correct choice from the following:
A) 68
B) 84
C) 100
D) 120
E) 135

Solution: Average speed=Total distance traveled /Total time taken   3d/d/40+d/y+d/160=96   Solving for d and y,   15y=11y+480   4y=400   y=100   Answer 100
Answer: C
When ticket sales began, Pat was the mth customer in line for a ticket, and customers purchased their tickets at the rate of x customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began? Choices.
A) (m - 1) x	B) m + x –1	C) (m-1)/x	D) x/(m-1)	E) m/(x-1)

Solution: C. (m - 1) / x
Answer: C
Which of the following coordinates are on the line segment connecting (5, 6) and (21, 18)?  Choose one.
A) (9, 9)  B) (12, 12)  C) (13, 13)  D) (12, 13)  E) (16, 15)

Solution: The line segment connects (5,6) to (21,18), therefore the change in the x-coordinate is 16, and the change in the y-coordinate is 12. We can simplify that to a slope of 3/4. That is, the points on the line with integer coordinates will all be of the form (5+4n, 6+3n). Put simply, starting at the point (5,6), to find the next point with integer coordinates on the line, all we have to do is add 4 to the x-coordinate and 3 to the y-coordinate. Then we can continue to do that until we find one of the answer choices.   In this case, the next point would be (5+4, 6+3), or (9,9). That is one of the answer choices, so the answer is A.   If (9,9) wasn't an option we could continue to add 4 to the x-coordinate and 3 to the y-coordinate until we found a point that was in the answer choices. The points are:   (5,6)   (9,9)   (13,12)   (17,15)   (21,18)   Beyond that and we are no longer on the line segment connecting the two original points.   (9, 9)nswer: (9, 9)
Answer: A
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 40 percent ? Choose the correct choice from the following answers
A) 200 B) 160 C) 400 D) 80 E) 56

Solution: The # oflong-termemployees is 70%*800=560.   After y of them retire new # oflong-termemployees would become 560-y.   Total # of employees would become 800-y.   We want 560-y to be 40% of 800-y --> 560-y=(800 -y)*40% --> y = 400.   Answer: 400.
Answer: C
If a = 4p, where p is a prime number greater than 2, how many different positive even divisors does a have, including a ?
Choose the correct choice from the following choices
A) Two	B) Three	C) Four	D) Six	E) Eight

Solution: a=4p   since a = 4p thenevendivisors are:   4p/4p= 1   4p/2p  4 /4= 
  4 /4 = 1
1   4p/2p= 2   4p/44 /2= 
4 /2 = 2
2   4p/4= p   4p/2= 2p   so the answer is (Four)4 /2= 
4 /2 = 2
2p   so the answer is (Four)
Answer: C
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:	Choices
A) broke even  B) lost 4 cents  C) gained 4 cents  D) lost 10 cents  E) gained 10 cents

Solution: 20 % profit on $ 1.20   = $ 20/100 * 1.20   = $ 0.20 * 1.20= 
0.20 * 1.20 = 0.24
$ 0.24   Similarly, 20 % loss on $ 1.20= $ 20/100 * 1.20   = $ 0.20 *1.20= 
0.20 *1.20 = 0.24
$ 0.24   Therefore, in one pipe his profit is $ 0.24 and in the other pipe his loss is $ 0.24.   Since both profit and loss amount is same so, it’s broke even.   correct answer broke even
Answer: A
Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?  Choose the correct choice from the following answers.
A) 29	B) 33	C) 55	D) 30	E) 32

Solution: We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points, except those that can be selected out of these 6 points are collinear.   Hence, the required number of straight lines   = ¹¹C₂ - ⁶C₂ - ⁵C₂ + 1 + 1   = 55 - 15 - 10 + 2= 
55 - 15 - 10 + 2 = 32
32   ANSW32R:32
Answer: E
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Explanation:	Select the correct option:
A) 101  B) 107  C) 111  D) 117  E) 121

Solution: Let the numbers be 37a and 37b.   Then, 37a x 37b = 4107   ab = 3.   Now, co-primes with product 3 are (1, 3).   So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).   Greater number = 111.   Answer: Option 111
Answer: C
John and Lewis leave City A for City B simultaneously at 6 A.M in the morning driving in two cars at speeds of 40 mph and 60 mph respectively. As soon as Lewis reaches City B, he returns back to City A along the same route and meets John on the way back. If the distance between the two cities is 240 miles, how far from City A did John and Lewis meet?
Choose the correct choice from the following answers
A) 150 miles B) 160 miles C) 140 miles D) 170 miles E) 200 miles

Solution: Time taken by Lewis to reach City B = 240/60= 
240/60 = 4
4 hours   In 4 hours, John travels   40*4= 
  40*4 = 160
160 miles   So distance at which they meet should be greater than 160 miles.   Only B satisfies.   Answer is 160 miles.
Answer: B
Rahul's Mathematics test had 85 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 60% problems right. How many more questions he would have to answer more to get
passed Choose one.
A) 5	B) 6	C) 7	D) 8	E) 11

Solution: Explanation:   Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)   = 7 + 12 + 21= 
7 + 12 + 21 = 40
40.   Questions to be answered correctly for 60%= 60% of total quations   = 60 % of 85 = 51.   He would have to answer 51 - 40= 
51 - 40 = 11
11   Answer: Option 11
Answer: E
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 74, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement?	Choose the correct choice from the following answers:
A) K+37 B) 2K+37 C) (74+K)/2 D) (74-K)/2 E) 2(74-K)

Solution: Let y be the years of service at the company.   After y years of service, Sue's age will be K + y.   Sue can retire when (K+y) + y = 74   y = (74 - K)/2   Then Sue's age will be K + y = K + (74 - K)/2 = (74+K) / 2   The answer is (74+K)/2.
Answer: C
Find the number, difference between number and its 3/5 is 50.	Options.
A) 110 B) 125 C) 120 D) 140 E) 145

Solution: No = x   then x-3/5x = 50   (2/5)x = 50==> 2x=50*5   x = 125   ANSWER 125
Answer: B
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Tuesday, how many croissants will Marina eat on the 24th of that month?  Choose the correct choice from the following choices:
A) 1
B) 2
C) 3
D) 5
E) 6

Solution: She eat as follow   Mon - 1   Tue - 2   Wed - 3   Thr - 5   Fri - 1(since she had more than 4 previous day)   sat - 6   sunday - 1 (since she had more than 4 previous day)   so 24th day of month she will have 5.   Answer is 5
Answer: D
If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?	Choose the correct choice from the following.
A) 4 B) 6 C) 11 D) 20 E) 30

Solution: xy = 660 = 2 * 2 * 3 * 5 * 11   One of x or y must be divisible by 11.   The answer is 11.
Answer: C
A leak in the bottom of a tank can empty the tank in 6 hrs. An pipe fills water atthe rate of 4 ltrs/min. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. The capacity of the tank is? Choose the correct choice from the following.
A) 4670
B) 4546
C) 4556
D) 4675
E) 5760

Solution: 1/x - 1/6 = -1/8   x = 24 hrs    24 * 60 * 4= 
 24 * 60 * 4 = 5_760
5760   5760
Answer: E
How long will it take a sum of money invested at 20% p.a. S.I. to increase double the value?	Answers.
A) 12 years. B) 8 years. C) 15 years. D) 13 years. E) 10 years.

Solution: Sol.   Let the sum be x. Then, S.I. = 200% of x = 2x; Rate =20%.   âˆ´ Time = [100 * 2x/5 * 1/x*5] = 10 years.   Answer 10 years.
Answer: E
One tap can fill a water tank four times as fast as another tap. If together the two taps can fill the water tank in 30 minutes then the slower tap alone will be able to fill the water tank in _______ . Choose the correct choice from the following answers.
A) 120 min B) 150 min C) 170 min D) 190 min E) 250 min

Solution: Let the slower pipe alone fill the water tank in t minutes.   Then, faster pipe will fill it in t/4 minutes.   Therefore, 1/t + 4/t = 1/30   =>5/t = 1/30   Now solve for t.   => t=150 min   ANSWER:150 min
Answer: B
The speed of a train is 102 kmph. What is the distance covered by it in 30 minutes?  Options:  A) 50 kmph  B) 51 kmph  C) 41 kmph  D) 61 kmph  E) 21 kmph

Solution: 102 * 30/60= 
102 * 30/60 = 51
51 kmph   Answer: 51 kmph
Answer: B
How much simple interest per annum can I negotiate with my Bank so My Family can pay back in 40 years at most double of the money we will borrow.  Pick one
A) 4  B) 5  C) 2.5  D) 4.5  E) 2

Solution: P = (P*SI*40)/100   100P = P*SI*40   100 = 40SI   Therefore SI = 2.5%   2.5= 2.5
Answer: C
A certain pilot flew 400 miles to City K at an average speed of 550 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
Choices.
A) 280 B) 290 C) 300 D) 310 E) 340

Solution: Avg speed = total distance/ total time   total distance = 800   total time = 400/550 + 400/250 = 128/55   => avg speed = (800*55)/128 = 340(approx)   ans is 340
Answer: E
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 1760 cubic metres in 10 minutes. The inner radius of the pipe should be : Pick one.
A) √2 m	B) 2 m	C) 1⁄2 m	D) 2√2 m	E) None of these

Solution: Let inner radius of the pipe be r.   Then, 1760 = 22⁄7 × r2 × 7 × 10   or r2=1760/22×10=8   or r = 2√2 m   Answer 2√2 m
Answer: D
If x and y are positive integers and 18x=12y what is the least possible value of xy?
Pick.
A) 14 B) 28 C) 36 D) 84 E) 252

Solution: 18x=12y   => x/y = 2/3   => 3x=2y   3(3)=2(3) => x*y=9 But it is not given   3(6)=2(6) => x*y=36   36
Answer: C
Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 12, and 19, what is the value of r?	Choose the correct choice from the following
A) 15	B) 22	C) 23	D) 25	E) 31

Solution: From the triangle inequality rule, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, the three inequalities are:   1. q + 12 > 19   2. 12 + 19 > q   3. q + 19 > 12   Equation 3 is true for any positive value of q.   From equation 1, q > 7   From equation 2, 31 > q   Then 31 > q > 7 so q can be any value from 8 to 30 inclusive.   The number of possible values is 23.   The answer is 23.
Answer: C
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The sum of the first 54 positive even integers is 2550. What is the sum of the even integers from 94 to 200 inclusive? Choose one.
A) 5,100
B) 7,938
C) 10,100
D) 15,500
E) 20,100

Solution: even numbers from 94 to 200=106/2+1= 
106/2+1 = 54
54   Sum= (200+94)x54/2=7938   So 7,938 is the ans.
Answer: B
II - IV + IX = 200
VI + I - V= 100
II - VI + VII = 150
Then,
VII + II + III = ? Choose the correct option.
A) 350	B) 220	C) 150	D) 230	E) 450

Solution: Correct Answer : 450   II - IV + IX = 200 :- VII = 200   VI + I - V= 100 :- II = 100   II - VI + VII = 150 :- III = 150   VII + II + III = 450
Answer: E
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her twelve kids?  Answers:  A) 7.5  B) 9  C) 3.5  D) 7.2  E) 10

Solution: cost of each apple = 4 dollars   Apples that Benny can buy with the amount she has=360/4= 
360/4 = 90
90.   Apples that each kid gets evenly= 90/12= 
90/12 = 15/2 = around 7.5
7.5 Apples.   So the answer is 7.5=7.5
Answer: A
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 6. The numbers are Choose the correct choice
A) 12, 24, 30
B) 12, 24, 38
C) 12, 24, 362
D) 6, 12, 18
E) 12, 24, 321

Solution: Explanation:   Let the required numbers be x, 2x, 3x. Then, their H.C.F =x. so, x= 6   \inline \fn_jvn \therefore The numbers are 6, 12, 18   Answer: 6, 12, 18) 6, 12, 18
Answer: D
The C.P of 40 pens is equal to the S.P of 60 pens. Find his gain % or loss%
Select the correct option
A) 25 2/3 B) 32 1/3 C) 33 1/3 D) 25 1/3 E) 33 2/3

Solution: 40 33 1/3P = 60 SP   60 --- 2033 1/3P loss   100 --- ? => 33 1/3%   Answer: 33 1/3
Answer: C
A person buys an article at $380. At what price should he sell the article so as to make a profit of 25%?	Choose the correct choice from the following options: A) 445 B) 449 C) 475 D) 740 E) 460

Solution: 475   475   475ost price = $380   profit = 25% of 380 = $95   Selling price = 475ost price + Profit   = 380+ 95= 
380+ 95 = 475
475
Answer: C
In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?	Choose one.
A) 220  B) 225  C) 230  D) 240  E) 245

Solution: 25 + 60 + 140= 
25 + 60 + 140 = 225
225   There are 225 students involved   in either band or sports.   225)
Answer: B
A box contains three pairs of blue gloves and two pairs of green gloves. Each pair consists of a left-hand glove and a right-hand glove. Each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. If three gloves are randomly selected from the box, what is the probability that a matched set (i.e., a left- and right-hand glove of the same color) will be among the three gloves selected?
Choose the correct answer:
A) 3/10	B) 23/60	C) 7/12	D) 41/60	E) 5/6

Solution: You can use the 'calculating the reverse' method used by Bunuel above or if you would like to calculate the probability of getting a matched set in the usual way, you can think of it in this way:   Bleft (3), Bright(3), Gleft (2), Gright(2)   Bleft, Bright, G   Get a Bleft and Bright in (3/10)*(3/9) ways. Then get any green in 4/8 ways.   Probability of getting B pair and a G = (3/10)*(3/9)*(4/8)*3!   (You multiply by 3! here because you could pick in some other order e.g. Bright, Bleft, G or Bleft, G, Bright etc)   Bleft, Bright, B   Get a Bleft and Bright in (3/10)*(3/9) ways. Then get any blue in 4/8 ways.   Probability of getting B pair and another B = (3/10)*(3/9)*(4/8)*3!/2!   (You multiply by 3! here to account for the order e.g. Bright, Bleft, Bleft or Bleft, Bright, Bright etc but two gloves will be identical so you divide by 2!)   Gleft, Gright, B   Get a Gleft and Gright in (2/10)*(2/9) ways. Then get any Blue in 6/8 ways.   Probability of getting G pair and a B = (2/10)*(2/9)*(6/8)*3!   Gleft, Gright, G   Get a Gleft and Gright in (2/10)*(2/9) ways. Then get any other G in 2/8 ways.   Probability of getting G pair and a G = (2/10)*(2/9)*(2/8)*3!/2!   Adding them all up, you get 41/60.   ANSWER:41/60
Answer: D
If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used?
Choose the correct answer.
A) 87  B) 267  C) 68  D) 26  E) 21

Solution: We have to consider the number of 4's in two digit numbers. _ _   If we fix 4 in the 10th place, unit place be filled with 10 ways. If we fix 4 in units place, 10th place be filled with 9 ways (0 is not allowed)   So total 19 ways.   87lternatively:   87nswer:87
Answer: A
A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?  Choose the most appropriate option.
A) 1.5  B) 2.5  C) 3  D) 4.5  E) 5

Solution: we have 15 cups of sauce with 4040 choc and 6060 rasb   cups of choc = 0.4∗15=6   cups of rasb = 0.6∗15=9   now let say we removed x cup of original mix and replaced with x cups of choc.   therefore final number of cups of choc =6−0.4x+x   now this number of cup should be 50% of total = 15/2= 
15/2 = 15/2 = around 7.5
7.5   therefore 6−0.4x+x=7.5   on solving x=2.5   ANSWER:2.5
Answer: B
In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
Choose the correct choice from the following answers:
A) 32 B) 16 C) 64 D) 80 E) 16 or 48

Solution: Let total number be x   No in the interior = (x/8)^2   No outside = 16   So : x - (x/8)^2=16   x^2-64x+16*64=0   (x-32)^2=0   x=32   32
Answer: A
Ten percent of the women in a college class are science majors, and the non-science majors make up 60% of the class. What percentage of the men are science majors if 40% of the class are men?
Select:
A) 45%
B) 55%
C) 65%
D) 75%
E) 85%

Solution: Science majors make up 0.4 of the class.   60% of the class are women and   0.1*0.6= 
  0.1*0.6 = 0.06
0.06 of the class are female science majors.   Then 0.34 of the class are male science majors.   0.4x= 0.34   x = 0.85 = 85%   The answer is 85%.
Answer: E
The incomes and expenditures of P, Q, R are in the ratio of 6 : 8 : 11 and 5 : 8 : 12 respectively. If P saves 1/4th of his income, what is the ratio of the savings of P, Q and R ?	Select the correct option:  A) 15 : 8 : 2  B) 19 : 7 : 9  C) 7 : 15 : 10  D) 12 : 9 : 17  E) None of these

Solution: Explanation:   Let the incomes of P, Q, R be 6x, 8x, 11x and expenditure be 5y, 8y and 12y respectively.   Therefore, savings are : (6x – 5y), (8x – 8y) and (11x – 12y)   Now, 6x – 5y = 1/4(6x)   24x – 20y = 6x   18x = 20y   x/y = 20/18 = 10 / 9   Savings of P / Savings of Q = 6x – 5y / 8x – 8y   = [6(x/y) – 5] / [8(x/y) – 8]   = [(6 * 10/9) – 5] / [(8 * 10/9) – 8]   = 15/8   Savings of Q / Savings of R = 8x – 8y / 11x – 12y   = [8(x/y) – 8] / [11(x/y) – 12]   = (8 * 10/9) – 8 / (11* 10/9) – 12   = 8/2   Ratio of savings of P : Q : R = 15 : 8 : 2   15 : 8 : 2NSWER: 15 : 8 : 2
Answer: A
Evaluate : 1024 x 237 + 976 x 237  Choose the correct choice: A) 486000 B) 568000 C) 378000 D) 474000 E) None of them

Solution: 1024 x 237 + 976 x237 = 237 x (1024 + 976) = 237 x 2000 = 474000.   Answer is 474000.
Answer: D
A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choose the correct choice from the following answers:
A) 79%	B) 58%	C) 44%	D) 69%	E) 43%

Solution: g% = 30 + 30 + (30*30)/100= 
30 + 30 + (30*30)/100 = 69
69%   Answer: 69%
Answer: D
If the cost price of 12 articles is same as the selling price of 25 articles. Find the gain or loss percentage? Choose the correct choice from the following answers:  A) 30% Gain  B) 30% Loss  C) 40% Gain  D) 40% Loss  E) 52% Loss

Solution: 52% Lossxplanation:   12 cp = 25 sp   Cost price CP = 25   Selling price SP = 12   Formula = (SP-CP)/CP * 100 = (12 - 25)/25 * 100 = 52 % Loss   Answer: Option 52% Loss
Answer: E
In a sample of high school students, 20 percent are sophomores, and 65 percent are not freshmen. What percentage of the high school students are juniors or seniors?  Options.
A) 15	B) 25	C) 35	D) 45	E) 55

Solution: 65 percent are not freshman --> This means 65 percent are either sophomores, juniors, or seniors   Already, we know % that are sophomores = 20 %   So, % of juniors and seniors = 65 % - 20 % = 45 % .. => (45)
Answer: D
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?  Choose one: A) 12.5 B) 12.1 C) 12.9 D) 12.3 E) 12.2

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 132= 
110 + 132 = 242
242 m.   Required time= 242/20= 
242/20 = 121/10 = around 12.1
12.1 sec.   Answer: 12.1
Answer: B