MU-NLPC/Calc-aqua_rat huggingface dataset:
Anne bought doughnuts for a class breakfast party. She bought 5 chocolate doughnuts, 6 coconut doughnuts, and 11 jam-filled doughnuts. How many doughnuts did Anne buy in all?  Pick one:
A) 22
B) 36
C) 39
D) 21
E) 11

Solution: Add the numbers of doughnuts.   5 + 6 +11= 
5 + 6 +11 = 22
22.   22nswer is 22.
Answer: A
Find the average of first 4 multiples of 15? Pick one.
A) 10
B) 12.6
C) 22.5
D) 31.3
E) 37.5

Solution: average = (15+30+45+60)/4= 
(15+30+45+60)/4 = 75/2 = around 37.5
37.5   Answer is 37.5
Answer: E
Two pipes A and B can fill a tank in 24 minutes and 32 minutes respectively. If both the pipes are
opened simultaneously, after how much time should B be closed so that the tank is full in 18
minutes?
Select the correct option
A) 7 minute B) 9 minute C) 10 minute D) 8 minute E) 11 minute

Solution: pipe A will work for 18 minutes. suppose pipe B is closed after x minutes than   we have 18/24+x/32=1   x=8 minute.   ANSWER:8 minute
Answer: D
The manufacturing cost of a shoe is Rs.230 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
Select the correct option.
A) s 282  B) s 216  C) s 220  D) s 210  E) s 217

Solution: Explanation :   Total cost of a watch = 230 + (500/100)= 
230 + (500/100) = 235
235.   Gain= 20% => SP = 1.2CP = 1.2 X 235 = 282   s 282nswer : s 282
Answer: A
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 7x km. Choose the correct choice from the following answers:
A) 56
B) 18
C) 24
D) 19
E) 12

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   56verage speed = 7x/(x/8) = 56 kmph   56nswer: 56
Answer: A
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -6 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choose the correct choice from the following options:  A) 54  B) 432  C) 2,160  D) 2,916  E) 148,824

Solution: We have the rectangle with dimensions 9*6 (9 horizontal dots and 6 vertical). AB is parallel to y-axis and AC is parallel to x-axis.   Choose the (x,y) coordinates for vertex A: 9C1*6C1;   Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);   Choose the y coordinate for vertex B (as x coordinate is fixed by A): 5C1, (6-1=5 as 1 vertical dot is already occupied by A).   9C1*6C*8C1*5C1=2160.   Answer: 2,160.
Answer: C
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 588 as interest at the end of the loan period, what was the rate of interest?
Choices:
A) 3.6
B) 7
C) 18
D) Cannot be determined
E) None of these

Solution: Let rate = R% and time = R years.   Then,1200 x R x R/100= 588   12R2 = 588   R2 = 49   R = 7.   Answer:7
Answer: B
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?  Choose the most appropriate option:
A) r / (r + b + w)  B) r / (r + b)  C) (r + b + w)/r  D) r / (b + w)  E) r * (r + b + w)

Solution: The total number of marbles is   r + b + w   The total ratio of blue marbles to the total number of marbles is   r / (r + b + w)   r / (r + b + w)
Answer: A
In how many ways Chief Minister and Minister be elected from a team of 10 members? Choose the correct choice from the following answers: A) 90 B) 95 C) 120 D) 100 E) 165

Solution: To do this, if captain is elected first, then we have 10 ways of doing this.   For election of vice-captain, we have only 9 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 10*9= 
10*9 = 90
90 ways.   90
Answer: A
If 4 women can color 48 m long cloth in 2 days, then 6 women can color 36 m long cloth in  Pick one:
A) 2 days B) 1 day C) 4 days D) 3 days E) 2 1/5 days

Solution: The length of cloth painted by one woman in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 women = 36/ 6 × 6 = 1 day.   1 day
Answer: B
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 49 percent were employees. What percent were stockholders, who were not employees?  Answers.
A) 52	B) 51	C) 54	D) 55	E) 56

Solution: I came up with the same answer choice B, but my approach was slightly different!   49% were employees which shall cover those who were only employees and those who were both shareholders and employees.   Thus, the number of attendants who were only shareholders is 100% - 49% = 51%.  100  - 49= 
  100  - 49 = 51
51%.
Answer: B
One square garden has area of A square feet and the perimeter is p feet. If 3A=3(2p+9), what is the perimeter of the garden, in feet?
Choose the correct choice from the following choices: A) 28 B) 36 C) 40 D) 56 E) 74

Solution: You can also solve this via using the given numbers in the answer choices!   Of course you need to be aware of the basic properties as outlined by the other posts above (a = x^2 and p = 4x)   Starting with D you will notice that x=14 is way too big for your area (14^2) and will not satisfy: 3A=3(2p+9) or A=2p+9   --> Eliminate D and E   Now pick 36 (its either too big, then its A, or too small then you know its C or it is 36 itsself)   And picking 36 indeed solves the problem! (36/4 --> 9; a= 9^2 = 81 and 81=2x36+9)
Answer: B
A retailer buys a radio for Rs 225. His overhead expenses are Rs 28. He sellis the radio for Rs 300. The profit percent of the retailer is	Choose the correct choice:
A) 10%
B) 50%
C) 25%
D) 52%
E) 18.5%

Solution: Explanation:   cost price = (225 + 28)= 
(225 + 28) = 253
253 sell price= 300   gain = (47/253)*100 = 18.5%. Answer: 18.5%
Answer: E
Which of the following is equivalent to the pair of inequalities x + 2 > 10 and x - 4 <= 5 ?
Choices.
A) 2 < x < 16	B) 2 <= x < 4	C) 2 < x <= 8	D) 8 < x <= 9	E) 4 <= x <= 16

Solution: Solution:   Let’s isolate x in both inequalities, starting with x + 2 > 10.   x + 2 > 10   x > 8   Next we isolate x in the inequality x – 4  5.   x – 4 <= 5   x <= 9   Bringing these two inequalities together we know:   8 < x <= 9   The answer is 8 < x <= 9.
Answer: D
One used-car salesperson receives a commission of $ 200 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
Choose the correct answer.
A) $ 5,000 B) $ 6,000 C) $ 8,000 D) $ 10,000 E) $ 12,000

Solution: let s1 and s2 be the commission earned by the two salesperson   as per the question,   s1=200+0.04(x-1000) (where x is the sp of the car)   s2=0.06x   also   s1=s2   or,   200+0.04(x-1000)=0.06x   200+0.04x-40=0.06x   0.02x=160   x=8000   ANSWER:$ 8,000
Answer: C
Given that a is the average (arithmetic mean) of the first six positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?  Pick
A) 3:4  B) 10:13  C) 5:6  D) 13:10  E) 7:13

Solution: The first nine positive multiples of six are {6, 12, 18, 24,30, 36}   The first twelve positive multiples of six are {6, 12, 18, 24, 30,36,42, 48, 54, 60, 66, 72}   Both sets are evenly spaced, thus their median=mean:   a=21 and b=(36+42)/2= 
(36+42)/2 = 39
39 --> a/b=21/39=7/13.   Answer: 7:13.
Answer: E
The grade point average of the entire class is 90. If the average of one third of the class is 96, what is the average of the rest?  Pick one.
A) 92	B) 89	C) 88	D) 87	E) 86

Solution: Let us take number of students on the class as 'x'.   avg grade point = sum of all grade points/x   sum of all grade points = avg grade point*x = 90x   average of one third of the class = 96 = sum of one third grade points of the class/(x/3)   sum of one third grade points of the class = 96*(x/3) = 32x   sum of rest two third grade points of the class = sum of all grade points - sum of one third grade points of the class   sum of rest two third grade points of the class = 90x-32x = 58x   avg of two third of the class 90 -32= 
90 -32 = 58
58x   avg of two third of the class= sum of rest two third grade points of the class/(x*2/3) = 58x/(2x/3) = 29*3= 
29*3 = 87
87.   Hence, answer is 87
Answer: D
In how many ways can the letters of the word CAVED be arranged in a row so that the vowels appear in alphabetic order? Choose the correct answer:
A) 60  B) 30  C) 120  D) 240  E) 180

Solution: Two letters can be arranged in 2! ways.   only one combination EIU is required.   5 letters can be arranged in 5! ways.   thus 5!/ 2! * 1 = 60.   60
Answer: A
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?	Answers:
A) Rs.10000, Rs.15020  B) Rs.10000, Rs.15700  C) Rs.10000, Rs.15090  D) Rs.10000, Rs.15000  E) Rs.10000, Rs.15200

Solution: The ratio of their profits A:B   = 8:12 = 2:3   Share of A in the total profit   = 2/5 * 25000   = Rs.10000 Share of A in the total profit = 3/5 * 25000   = Rs.15000   Answer: Rs.10000, Rs.15000
Answer: D
Of the following values of n, the value of (-1/4)^(-n) will be greatest for n =  Choices
A) 3 B) 0 C) 2 D) -2 E) -3

Solution: imo -2   (-1/4)^-2=   1/(1/16)= 
1/(1/16) = 16
16   oops i meant 2   2
Answer: C
A is twice as fast as B. If B alone can do a piece of work in 18 days, in what time can A and B together complete the work?
Choose the correct choice
A) 10	B) 16	C) 18	D) 6	E) 12

Solution: A can do the work in 18/2 i.e., 9 days.   A and B's one day's work = 1/9+ 1/18 = (2 + 1)/18 = 1/6   So A and B together can do the work in 6 days.   Answer: 6
Answer: D
A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.
Choose the correct option:
A) 25 km/h B) 40 km/h C) 45 km/h D) 36.5 km/h E) None of these

Solution: Let original speed = S km/h   Here, distance to be covered is constant   ∴ S × 8 = (S + 5)(20⁄3)   ⇒ 8S - 20⁄3S = 100⁄3 ⇒ S = 100⁄4 = 25 km/h   25 km/hnswer 25 km/h
Answer: A
In how many ways can the letters of the word 'LEADER' be arranged ?	Choose the correct choice
A) 360
B) 72
C) 144
D) 760
E) 280

Solution: The word 'LEADER' contains 6 letters, namely 1L, 2E, 1A, 1D and 1R.   ∴ Required number of ways = 6!/(1!)(2!)(1!)(1!)(2!) = 360.   360nswer is 360
Answer: A
If n is the greatest positive integer for which 2^n is a factor of 8!, then n =? Choose the most appropriate option:	A) 2	B) 4	C) 6	D) 8	E) 10

Solution: 8! = 40320   E. 2^10 = 512 (40320/512) - this is not a factor of 8!   D. 2^8 = 256 (40320/256) - this is not a factor of 8!   C. 2^6 = 64 (720/64) - this is a factor of 8!   6 is answer
Answer: C
In a class ,there are 15 boys and 10 girls .one student is selected at random. The probability that one girl is selected,is:
Select the correct option
A) 10/25	B) 2/5	C) 15/25	D) 3/25	E) 1/25

Solution: Total number of students = 10+15= 
10+15 = 25
25   no.of girls in a class= 10   probability of one girl is selected = 10/25= 2/5   Answer is 2/5
Answer: B
What is the tenth digit of (4!*3! + 4!*2!)/3?  Answers
A) 5
B) 7
C) 9
D) 1
E) 0

Solution: (4!*3! + 4!*2!)/2   =4!(3! + 2!)/2   =24 (6+2)/2   =96   Units digit of the above product will be equal to 9   Answer 9
Answer: C
The probability that A speaks truth is 15/23 and that of B speaking truth is 17/29. What is the probability that they agree in stating the same fact? Select: A) 182/395 B) 129/289 C) 197/353 D) 479/667 E) None of these

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 15/23 * 17/29 + 14/23 * 16/29   = 255/667 + 224/667 = 479/667   ANSWER:479/667
Answer: D
If x is a positive integer, what is the units digit of (24)^(2x+1)(33)^(x+1)(17)^(x+2)(9)^(2x)	Select the correct option: A) 4 B) 6 C) 7 D) 8 E) 9

Solution: To find the units digit of the above (24)^(2x+1)(33)^(x+1)(17)^(x+2)(9)^(2x) , find the units digit of each term possible .   24^2x . 24 --> Units digit of (24^2)^X = 6^X = 6 multiplied by last digit of 24 = 4   33^x . 33 --> Units digit of 33^x . 3 --> 3,9,7,1 multiplied by 3   17^x. 17^2 --> Units digit of 17^x. 9 (units digit of 7^2)--> 7,9,3,1 multiplied by 9   9^2x --> Units digit of 81^x = 1   If you observe 2nd and 3rd expression above and multiply both you will always get 1 for units digit of 33^x multiplied by 17^x ( because 3*7, 9*9,7*3,1*1 all end in 1 for the same value of x) . Thus you have 3 and 9 from 2nd and third expression above.   So the units digit of the whole expression = Units digit of 4*3*9*1 which is 8 .   Answer Choice 8
Answer: D
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?  Choose the correct choice from the following choices:
A) 5 sec
B) 8 sec
C) 3 sec
D) 4 sec
E) 6 sec

Solution: 6 sec   6 sec   T = 60/36 * 18/5= 
60/36 * 18/5 = 6
6 sec
Answer: E
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $300 before any discount?	Choose the correct choice from the following options:
A) $230.00 B) $145.60 C) $168.80 D) $182.00 E) $210.00

Solution: Since the question is essentially just about multiplication, you can do the various mathstepsin a variety of ways (depending on whichever method you find easiest).   We're told that the first discount is 10% to 30%, inclusive. We're told that the next discount is 20% off of the DISCOUNTED price....   We're told to MAXIMIZE the discount (thus, 30% off the original price and then 20% off of the discounted price). Thatmathcan be written in a number of different ways (fractions, decimals, etc.):   30% off = (1 - .3) = (1 - 30/100) = (.7) and the same can be done with the 20% additional discount...   The final price of an item that originally cost $300 would be.....   ($300)(.7)(.8) =   ($300)(.56)=168   Final Answer:   $168.80
Answer: C
A man can row 9 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Choose the correct choice from the following answers: A) 4.32 B) 4.42 C) 4.52 D) 4.62 E) 4.72

Solution: M = 9   S = 1.2   DS = 9 + 1.2= 
9 + 1.2 = 10.2
10.2   US= 9 - 1.2= 
9 - 1.2 = 7.8
7.8   x/10.2 + x/7.8= 1   x = 4.42.Answer: 4.42
Answer: B
The area of a circle is increased by 300%. By what percent has the diameter of the circle increased?	Pick one:
A) 400%  B) 200%  C) 300%  D) 100%  E) 800%

Solution: The area of the circle is increased by 300%, thus the area is increased 4 times.   The area of a circle it proportional to the square of the diameter (area=πd^2/4), therefore the diameter must increase 2 times (diameter increase 2 times = area increase 4 times), which is increase by 100%.   Answer: 100%.
Answer: D
95,70,54,45, ?  Options:
A) 41 B) 43 C) 44 D) 40 E) 39

Solution: 95 - 70= 
95 - 70 = 25
25= 5^2   70 - 54= 
70 - 54 = 16
16= 4^2   54 - 45 = 09 = 3^2   so we can write   45 - x = 04 = 2^2 , where x is the next number   x = 45 - 4= 
45 - 4 = 41
41   so the next number will be 41   41NSWER:41
Answer: A
At present, the ratio between the ages of Arun and Deepak is 4:3. After 2 years, Arun's age will be 26 years. What is the age of Deepak at present? Pick:
A) 16  B) 17  C) 10  D) 18  E) 15

Solution: Let the present ages of Arun and Deepak be 4x and 3x years respectively.   Then, 4x + 2 = 26 => x = 8   Deepak's age = 3x = 18 years.   Answer: 18
Answer: D
A batch of widgets costs p + 5 dollars for a company to produce and each batch sells for p(6 – p) dollars. For which of the following values of p does the company make a profit? Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: to make profit, selling price should be greater than cost price   p(6-p) - p-5 >0   => p^2-5*p+5<0   hence p=3   3
Answer: A
A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $75,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 10% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ? Choose the correct choice from the following answers.
A) $32,500	B) $57,500	C) $82,500	D) $92,000	E) $100,000

Solution: Team K's contract = $100,000 + $100,000*1.2 + $100,000*1.2*1.2 + $75,000 = $439,000   Team L's contract = $150,000 + $150,000*1.1 + $150,000*1.1*1.1 = $496,500   The difference = $57,500.   Answer: $57,500.
Answer: B
The sum of four consecutive even integers is 1284. The greatest of them is:
Pick
A) 324  B) 342  C) 364  D) 382  E) none

Solution: Sol.   Let the four integers be x, x + 2, x + 4 and x + 6   Then, x + (x + 2) + (x + 4) + (x + 6) = 1284 ⇔ 4x = 1272 ⇔ x = 318   ∴ Greatest integer = x + 6 = 324.   324nswer 324
Answer: A
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
Choices: A) 11 B) 39 C) 88 D) 66 E) 51

Solution: Let the two-digit number be 10a + b   a + b = 12 --- (1)   If a>b, a - b = 6   If b>a, b - a = 6   If a - b = 6, adding it to equation (1), we get   2a = 18 => a =9   so b = 12 - a = 3   Number would be 93.   if b - a = 6, adding it to the equation (1), we get   2b = 18 => b = 9   a = 12 - b = 3.   Number would be 39.   There fore, Number would be 39 or 93.   Answer: 39
Answer: B
A bowl was filled with 10 ounces of water, and 0.0008 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choose the correct choice.
A) 0.004%  B) 0.04%  C) 0.40%  D) 4%  E) 40%

Solution: Total amount of water evaporated each day during a 50-day period = .0008 * 50   =.0008 * 100/2   = .08/2= 
.08/2 = 0.04
.04   percent of the original amount of water evaporated during this period= (.04/10) * 100= 
(.04/10) * 100 = 0.4
0.4 %   Answer 0.40%
Answer: C
Find the middle one when The sum of three consecutive even numbers is 36?
Select:	A) 10	B) 12	C) 15	D) 17	E) 18

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
Answer: B
If the number 892,142,24x is divisible by 11, what must be the value of x?  Choose the correct option:
A) 1
B) 2
C) 3
D) 0
E) 5

Solution: Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11   Given number: 892,142,24x   Sum of digits at odd places = 8 + 2 + 4 + 2 + x = 16 + x (i)   Sum of digits at even places = 9 + 1 + 2 + 4= 
9 + 1 + 2 + 4 = 16
16 (ii)   (i) - (ii)= 16 + x - 16 = x - 0= 
- 0 = 0
0 to make this a multiple of 11 (0) Option 0
Answer: D
When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 24 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster?	Select the correct option:
A) 30
B) 34
C) 42
D) 48
E) 50

Solution: Total # of students 24+28+18-(9+7+10)+4= 
24+28+18-(9+7+10)+4 = 48
48.   Answer: 48.
Answer: D
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 20%?	Choose the correct answer
A) 37.5%	B) 48%	C) 50.5%	D) 52%	E) 25%

Solution: Explanation:   Let marked price = Rs. 100.   Then, C.P. = RS. 64, S.P. = Rs. 80   Gain % = 16/64 * 100= 
16/64 * 100 = 25
25%.   Answer: Option 25%
Answer: E
Find a a prime number from the options below.	Choose the correct choice: A) 69 B) 70 C) 71 D) 72 E) 74

Solution: Clearly, 71 is a prime number.   71
Answer: C
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?	Select the correct option: A) 76 kmph B) 24 kmph C) 99 kmph D) 55 kmph E) 44 kmph

Solution: Distance from A and 24 kmph be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/20) + (d/30)]   = (2d)/[5d/60) => 24 kmph.Answer:24 kmph
Answer: B
What is the value of 11^x-11^(x+2), where x is the largest integer such that 11^x is a factor of 30,030?	Choose the correct choice from the following:
A) -1331
B) -1320
C) -121
D) -120
E) -1

Solution: The given expression is 11x-11(x^+2) =11x(1-x)   1x needs to be factor of 30030 and x needs to be the largest integer possible. This means 11x needs to be the largest factor possible. The largest factor of a number is the number itself.   The largest factor of 30030 is 30030 = (11 * 2730)   x must be 2730   The value of 11x(1-x) = –1320.   ANSWER:-1320
Answer: B
If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 16 players?	Pick one:	A) 1245	B) 1256	C) 1365	D) 1370	E) 1390

Solution: A particular players is never chosen, it means that 11 players are selected out of 15 players.   => Required number of ways = 15136511 = 1365   1365
Answer: C
A 6-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point? Choose the most appropriate option:
A) 2/3	B) 3/4	C) 4/5	D) 5/6	E) 6/7

Solution: The longer wire will form a square with an area more than 1 if the wire is cut at a point within two meters of either end. The probability of this is 4/6 = 2/3.   The answer is 2/3.
Answer: A
The average age of 15 students of a class is 15 years. Out of these, the average age of 7 students is 14 years and that of the other 7 students is 16 years, The age of the 15th student is
Select
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Explanation:   Age of the 15th student = [15 * 15 - (14 * 7 + 16 * 7)= 
15 * 15 - (14 * 7 + 16 * 7) = 15
15 years. Answer: 15
Answer: E
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?  Pick one:
A) 110 m B) 120 m C) 160 m D) 180 m E) 140 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120 m
Answer: B
A sells a bicycle to B at a profit of 30% and B sells it to C at a loss of 20%. Find the resultant profit or loss.
Choose the correct choice.
A) 5%	B) 4%	C) -4%	D) -12%	E) 2%

Solution: The resultant profit or loss = 30 - 20 - (30*20)/100= 
30 - 20 - (30*20)/100 = 4
4%   profit= 4%   Answer is 4%
Answer: B
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I. x > y
II. x > y > z
III. x = z	Choose the correct choice from the following answers.
A) I and II  B) I only  C) II only  D) III only  E) None

Solution: If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?   I. x > y   II. x > y > z   III. x = z   a. I and II   b. I only   c. II only   d. III only   e. None   From the question: we infer that x-y = -z   x,yz are negative integers .   ex: x= -4   y= -6   -4 - (-6) = -(-2). this implies x>y   here x is not equql to z (III)   z>y (II)   So (I) will be answer , SO option I only)
Answer: B