MU-NLPC/Calc-aqua_rat huggingface dataset:
A jar contains 12 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed? Choose the correct choice.
A) 1/495 B) 1/165 C) 1/81 D) 11/31 E) 3/220

Solution: Jar contains {3-red, 3-green, 3-blue} marbles. We are asked to find the probability that after removing 3 marbles only 2 colours remain in the jar, i.e., the probability of removing EITHER red, OR green, OR blue.   Sample space = 12C3 = 220.   Probability of choosing 3 red = 3C3/12C3 = 1/220.   Probability of choosing 3 green = 3C3/12C3 = 1/220.   Probability of choosing 3 blue = 3C3/12C3 = 1/220.   Required probability = 1+1+1/220 = 3/220 Ans (3/220).
Answer: E
x and y are integers. x + y < 11 , and x > 6. What is the smallest possible value of x - y ? Choose the most appropriate option:
A) 1  B) 2  C) 4  D) -2  E) -4

Solution: Because x & y are integers, the two equations can be simply written as :   x+y<= 10 --- eq. 1   x>= 7 ---- eq. 2   For smallest value of x-y, x has to be the smallest whereas y has to be the largest.   From the above eq. 2, smallest value of x = 7   Plugging it in eq. 1: 7+y<=10, or y<=3   Therefore, largest value of y=3 & smallest values of x=7   x-y = 7 - 3= 
7 - 3 = 4
4   Answer is 4
Answer: C
The product of two numbers is 120 and the sum of their squares is 289. Find the sum?	Pick one: A) 23 B) 20 C) 15 D) 26 E) 28

Solution: Nos 23 and B   23B=120 and 232+B2=289   (23+B)2=529   23+B=Root(529)=23   23NSWER 23
Answer: A
In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 7 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump? Choices.
A) d = p/1.07 - 0.18
B) d = p-0.25
C) d= (p-0.18)/1.07
D) d = p/1.25
E) d = (p-0.07)/1.18

Solution: Let dealers price (d) be 1. so adding 7% to dealers price is d+ 7% of d. i.e. 1 + 7% of 1 which is1 + 0.07. then add 0.18 to the value.   Now 1.07 + 0.18. this is now 1.25. you have the gasoline stations price (p) as 1.25 dollars.   Now sub 1.25 in the options to know which option gave you d = 1. d must equal 1 because you earlier picked 1 as the value of d in the question.   PS: always remember to start from E upwards.   Answer : d= (p-0.18)/1.07
Answer: C
Each of the three people individually can complete a certain job in 3, 5, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Choose the most appropriate option
A) 4/15  B) 7/30  C) 11/30  D) 7/18  E) 5/18

Solution: The two slowest people work at rates of 1/5 and 1/6 of the job per hour.   The sum of these rates is 1/5 + 1/6 = 11/30 of the job per hour.   The answer is 11/30.
Answer: C
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 300 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?  Answers:
A) a. 0.56
B) b. 0.056
C) c. 0.0056
D) d. 0.00056
E) e. 0.000056

Solution: Let total Production be 10000 units....   A produces 4000 units and 36 units are defective   B produces 6000 units and 20 units are defective   So, Out of total 10,000 units 56 units are defective...   So the required probability = 56/10000= 
56/10000 = 7/1_250 = around 0.0056
> 0.0056   Answer will be (c. 0.0056)
Answer: C
Find large number from below question The difference of two numbers is 1515. On dividing the larger number by the smaller, we get 16 as quotient and the 15 as remainder  Answers.
A) 1209
B) 1615
C) 1245
D) 1300
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1515).   x + 1515 = 16x + 15   15x = 1500   x = 100   Large number = 100+1515= 
100+1515 = 1_615
1615   Answer : 1615
Answer: B
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?  Answers
A) 1 kmph  B) 5 kmph  C) 2 kmph  D) 9 kmph  E) 4 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer: 1 kmph
Answer: A
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $450 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $605 as interest. What was the annual rate of interest?  Options.
A) 68%
B) 10%
C) 12%
D) 15%
E) 20%

Solution: First divide $450/2years to get 225$/yr non-compounding interest.   Next, subtract from the total compound after 2 years to see the interest gained in the second year. This can be done because the same amount has been invested in both accounts and the interest gained for the first year will be the same. So, $605-$225= $380.   To find the difference in interest gained, $380-$225= $155 increase in interest after the first year through compounding.   From this information we can set up the equation $225 * X% = $155=68% giving us answer choice 68%.
Answer: A
Suppose 8 monkeys take 8 minutes to eat 8 bananas. How many monkeys would it take to eat 48 bananas in 48 minutes Choose the correct choice from the following answers.
A) 5 monkeys  B) 6 monkeys  C) 7 monkeys  D) 8 monkeys  E) 9 monkeys

Solution: 8 monkeys take 8 minutes to eat 8 bananas means each monkey takes 8 min for 1 banana   in 48 mins one monkey can eat 6 bananas....which means that 8 monkeys can eat 48 bananas in 48 minutes   so answer is 8 monkeys   ANSWER:8 monkeys
Answer: D
How many odd 4-digit positive integers E that are multiples of 5 can be formed without using the digit 3?  Choose the correct choice from the following options:	A) 648	B) 729	C) 900	D) 1296	E) 3240

Solution: I choose A.   Possible n° of 1st digit: 8 (0 can't be the first number, or else it wouldn't have 4 digits. 3 is exlcuded)   Possible n° of 2nd digit: 9 (3 is excluded)   Possible n° of 3rd digit: 9 (3 is excluded)   Possible n° of 4th digit: 1 (a number is a multiple of 5 if it ends in 5 or 0, here we are asked for the odd numbers, hence the last digit can't be 0)   So, E=8*9*9*1= 
8*9*9*1 = 648
648 (648)
Answer: A
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is  Select:
A) 12 years
B) 27 years
C) 19 years
D) 18 years
E) 37 years

Solution: Sum of the present ages of husband, wife and child   = (23 * 2 + 5 * 2) + 1= 
(23 * 2 + 5 * 2) + 1 = 57
57 years.   Required average= (57/3)= 
(57/3) = 19
19 years.   Answer: 19 years
Answer: C
A person buys an article at Rs.460. At what price should he sell the article so as to make a profit of 18%? Pick one:
A) 542
B) 882
C) 772
D) 662
E) 521

Solution: Cost price = Rs.460   profit = 18% of 460 = Rs.82   Selling price = Cost price + Profit   = 460 + 82= 
460 + 82 = 542
542   542nswer: 542
Answer: A
The number of boxes in a warehouse can be divided evenly into 12 equal shipments by boat or 32 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?	Choose the correct choice from the following options
A) 27  B) 33  C) 96  D) 81  E) 162

Solution: Answer is the L96M of 12 and 32   = 96   Answer 96
Answer: C
If P(A) = 3/5 and P (B) = 2/5, find P (A n B) if A and B are independent events. Answers.
A) 6/25	B) 3/25	C) 8/25	D) 2/13	E) 3/17

Solution: P (A n B) = P(A) . P(B)   P (A n B) = 3/5 . 2/5   P (A n B) = 6/25.   6/25
Answer: A
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $580 (before payroll deductions)?	Choose the correct choice from the following answers:	A) 400	B) 500	C) 600	D) 700	E) 800

Solution: total pay = 40*$12.50 + $0.16*x = 580   x = 80 / 0.16= 
80 / 0.16 = 500
500   The answer is 500.
Answer: B
By the how much is two-fifth of 200 greater than three -fifths of 125? Choose the correct choice from the following:
A) 15  B) 3  C) 5  D) 30  E) None of these

Solution: Reqd no. = 2⁄5 × 200 - 3⁄5 × 125   = 80 - 75= 
80 - 75 = 5
5   Answer 5
Answer: C
The respective heights and volumes of a hemisphere and a right circular cylinder are equal, then the ratio of their radii is :	Choose the correct choice from the following answers:
A) 1.225
B) 2.225
C) 3.225
D) 1.825
E) 0.225

Solution: Height of hemisphere = radius of hemisphere = Height of right circular cylinder = h   and   radius of right circular cylinder = r , then   (2/3)* pi*h^3 = pi*(r^2)*h   h/r = Root (3/2)= 
(3/2) = 3/2 = around 1.5
root 1.5= 1.225   1.225NSWER:1.225
Answer: A
Find the odd man out. 187, 264, 386, 473, 682, 781	Options
A) 386	B) 187	C) 781	D) 682	E) 564

Solution: Explanation :   In all numbers except 386, the middle digit is the sum of other two digits. 386nswer : Option 386
Answer: A
The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Pick: A) 27 B) 29 C) 36 D) 34 E) 35

Solution: The total of seven numbers = 7X18 = 126   The total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90   So, the middle number is  (126 - 90 )= 
 (126 - 90 ) = 36
36   36
Answer: C
The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?  Choose the correct choice from the following
A) 23 1/8%  B) 23 8/3%  C) 23 1/3%  D) 28 1/3%  E) 13 1/3%

Solution: y=100	x=130   130---------30   100---------? => 23 1/3%   Answer:23 1/3%
Answer: C
On a wedding catering service, An experienced chef can prepare a service for a wedding in 12 hours while an novice chef would finish the preparations in 24 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
Pick:
A) 2	B) 3	C) 4	D) 6	E) 10

Solution: Experienced chefs work = 1 wedding/12 hours   Novice chefs work = 1 wedding/24 hours   Since we don't know the number of experienced or novice chefs but know that there is an equal number each, let the number of chefs for each group equalx   1hr and 36mins = 8/5 an hour   x/12 + x/24 = 1 wedding / (8/5)   x/12 + x/24 = 5/8   x=5   So there are 5 novice chefs and 5 experienced chefs. In total there are 10. The answer is 10.
Answer: E
If 11 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?  Choose the most appropriate option:
A) 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1  B) 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1  C) 11 × 10  D) 55  E) 45

Solution: Total number of handshakes = C112=11∗10/2=55   Answer: 55
Answer: D
A reduction of 22% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?	Choose the correct choice from the following.
A) s.2.82  B) s.2.4  C) s.2.5  D) s.2.2  E) s.2.1

Solution: 100*(22/100)= 
100*(22/100) = 22
22 --- 10   ? --- 1=> Rs.2.2   100 --- 78   ? --- 2.2 => Rs.2.82   s.2.82nswer:s.2.82
Answer: A
Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 13.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?	Choose one.
A) 42	B) 56	C) 70	D) 91	E) 140

Solution: We are told that:generallya cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 13.0 miles per hour, inclusive. Is it possible the cyclist to travel with maximum speed for some time? Why not, if there is right terrain for that. So, if there is long enough terrain for the maximum speed of 13 mph then the maximum distance, in miles, that the cyclist could travel in 7 hours would be  7*13= 
 7*13 = 91
91 miles.   Answer: 91.
Answer: D
On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
Choose the correct choice
A) 33.3% B) 40% C) 50% D) 60% E) 75%

Solution: 0.30P = RT + C   0.6(RT) = no C   => 0.40(RT) had C   0.30P = 0.40(RT)   RT/P = 3/4=75%   Answer -75%
Answer: E
There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.	Choose the correct choice from the following answers
A) 800	B) 900	C) 1000	D) 1100	E) None of these

Solution: as per question stem 2/5M (Portion of Men employees who are managers) + 400 (Portion of Female employees who are managers) = 2/5T (Portion of Total number of employees who are managers), thus we get that 2/5M+400= 2/5T, or 2/5(T-M)=400, from here we get that T-M=1000, that would be total number of female employees and the answer (1000)
Answer: C
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?	Choose one:
A) 4
B) 7
C) 8
D) 13
E) 26

Solution: Assume the sides to be x and y.   Perimeter = 2x + 2y = 42   Hence x + y = 21 - (i)   Area = xy = 104 - (ii)   Since these are the sides of a billboard, we are dealing with positive numbers only and the options tell us that they are integers.   104 can be written as a product of two numbers as 104*1 or 52*2 or 26*4 or 13*8   Of these, only 13*8 satisfies the equation (i)   Hence the lengths are 13 and 8   Length of shorter side = 8   ANSWER:8
Answer: C
Two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1/2 minute. If the length of the first train is 125 m, what is the length of the second train?
Answers:
A) 300 m
B) 287 m
C) 125 m
D) 250m
E) 167 m

Solution: RS = 50 â€“ 40 = 10 * 5/18 =25/9 mps   T = 90 sec   D = 25/9 *90= 
25/9 *90 = 250
250 m   125   --------   125 m   Answer: 125 m
Answer: C
The function f is defined by subtracting 25 from the square of a number and the function s is defined as the square root of one-half of a number. If s(f(x))=10, then which of the following is a possible value of x?  Choose the correct choice from the following answers:  A) -15  B) -5  C) 0  D) 5  E) 25

Solution: f(x) = x^2-25   s(x) = sqrt(x/2) not sqrt(x)/2, because the question clearly says its square root of (half of the number).   s(f(x)) = 10   s(x^2-25) =10   sqrt((x^2-25)/2) = 10   => (x^2-25)/2 = 100   =>x^2 = 225   => x = 15 or -15   -15nswer is -15.
Answer: A
A train 150 m long is running with a apecd of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?  Choose the correct choice from the following choices.
A) 6 sec.	B) 7 sec.	C) 9 sec.	D) 11 sec.	E) None

Solution: Solution   Speed of the train relative to man	=( 68 - 8 )= 
( 68 - 8 ) = 60
60 Kmph= 60 x 5 / 18   =50/3 m/sec.   Time taken by it to cover 150 m at (50 /3)m/sec	= (112 - 50)kmph   = (150 x 3/50)sec   = 9 sec.   Answer 9 sec.
Answer: C
If 30% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class? Choose the correct choice: A) 110 B) 616 C) 550 D) 430 E) 880

Solution: Students enrolled in biology are 30% and therefore not enrolled are 70%. so of 880 is  880*.7= 
 880*.7 = 616
616   Answer is 616 616
Answer: B
A rectangular tiled patio is composed of 96 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 96 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? Select.
A) 5
B) 6
C) 8
D) 13
E) 28

Solution: Suppose there are c columns and there are r rows   Original Situation   So, Number of tiles = c*r = 96   Also. Reach column has r tiles and each row has c tiles   New Situation   Number of tiles in each column is r-2 and number of tiles in each row is c+4   So, number of rows = r-2 and number of columns is c+4   So, Number of tiles = (r-2)*(c+4) = 96   8omparing both of them we get   c*r = (r-2)*(c+4)   => 4r -2c = 8   c = 2r - 4   Putting it in c*r=96   (2r-4)*r = 96   2r^2 - 4r - 96=0   r cannot be negative so r = 8   and c = 12   So, Answer will be 8
Answer: C
If M is the least common multiple of 90,196, and 300, which of the following is NOT a factor of M?
Choose one
A) 600  B) 700  C) 900  D) 2,100  E) 4,900

Solution: first calculate the LCM of the given numbers   90 = 2*3*3*5   196=2*2*7*7   300=2*2*3*5*5   LCM = 2*2*3*3*5*5*7*7 this is the number M.   now check each number whether a factor of M.   600nswer 600 is 600.
Answer: A
A sum of Rs.66000 is divided into three parts such that the simple interests accrued on them for six, two and eleven years respectively may be equal. Find the amount deposited for 11 years.  Choose the correct option
A) 6500
B) 2000
C) 4500
D) 3000
E) 6000

Solution: Let the amounts be x, y, z in ascending order of value. As the interest rate and interest accrued are same for 2 years 6 years and 11 years i.e. 2x = 6y = 11z = k.   L.C.M. of 2,6,11 = 66 So x:y:z: = 33000 : 11000 :6000   The amount deposited for 11 years = 6000   ANSW6000R:6000
Answer: E
A watch was sold at a loss of 10%. If the watch was sold for $12 more, there would have been a gain of 6%. What is the cost price?  Select
A) $55
B) $65
C) $75
D) $85
E) $95

Solution: 0.9x + 12 = 1.06x   0.16x = 12   x = 75   The answer is $75.
Answer: C
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%? Select: A) 16 2/7% B) 16 2/6% C) 16 2/3% D) 16 9/3% E) 16 1/3%

Solution: 10 16 2/3%P = 12 SP   12 --- 2 16 2/3%P loss   100 --- ? => 16 2/3%   Answer:16 2/3%
Answer: C
If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ?  Choices:
A) a + c = b + d	B) 2a + b = 2c + d	C) b + 2c = 2a + d	D) b - 2c = 2a - d	E) None

Solution: Answer   If (x+2) is the HCF of x2 + ax + b and x2 + cx + d.   Then, (-2)2 -2a +b = (-2)2 -2c + d   b  + 2= 
 + 2 = 2
2a + d   b  + 2= 
 + 2 = 2
2a + dorrect Option: b  + 2= 
 + 2 = 2
2a + d
Answer: C
Which of the following is equal to the value of 2^4 + 2^4 + 3^4 + 3^4 + 3^4 ?  Choose the correct choice from the following options: A) 2^5 + 3^10 B) 2^5 + 3^9 C) 2^5 + 3^8 D) 2^5 + 3^5 E) 2^5 + 3^7

Solution: 2^4 + 2^4 + 3^4 + 3^4 + 3^4   = 2 (2^4) + 3 (3^4)   = 2^1 (2^4) + 3^1 (3^4)   = 2^(1+4) + 3^(1+4)   = 2^5 + 3^5   Ans: 2^5 + 3^5
Answer: D
9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ? Pick.
A) 6 B) 7 C) 5 D) 12 E) 14

Solution: If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.   Side 1 = 6 m/h --> 3 m in 1/2 hr   Side 2 = 8 m/h --> 4 m in 1/2 hr   to complete this right angle triangle   d^2 = 4^2 + 3^2   d^2 = 25   = 5   Answer option 5
Answer: C
In store A there are 10 pairs of pants for every 30 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?  Choose the most appropriate option.
A) 3:16.	B) 2:3.	C) 4:9	D) 3:4.	E) 2:5.

Solution: 1st statement : ratio of pants   Store A : Store B   10x : 30x   X:3X   Price :   4y:3y   Total revenue   4xy : 9xy   4:9   Answer : 4:9
Answer: C
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:  Choose the correct choice:  A) 14 years  B) 18 years  C) 20 years  D) 22 years  E) 24 years

Solution: Let the son's present age be x years. Then, man's present age = (x + 24) years.   (x + 24) + 2 = 2(x + 2)   x + 26 = 2x + 4   x = 22. Answer: Option 22 years
Answer: D
In feb Mrs Bil's earnings were 70 percent of the Bil family's total income. In June Mrs Bil earned 10 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Bil's earnings were approximately what percent of the Bil family's total income ? Answers:
A) 72  B) 34  C) 78  D) 37  E) 27

Solution: Lets say the Family Income is 100   In May, Bil earned 70Family income is 30   In june, Bil earned 10% more than May, so it is (70+10*70/100 = 77)   Family Income is same 30   In June Bil's Income percent is 77*100/107 ~ 72   72ns is 72
Answer: A
Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability M that the new color will be one of theJaunecolors? Choose the most appropriate option.
A) 5/42	B) 37/42	C) 1/21	D) 4/9	E) 5/9

Solution: I get B.   Jaune Y = (4 choose 1)*(5 choose 2) = 4*10= 
4*10 = 40
40   Jaune X= (4 choose 2)*(5 choose 1) + (4 choose 3) = 6*5 + 4= 
6*5 + 4 = 34
34   Total combinations= 9 choose 3 = 84   Probability of Jaune MM = (40 + 34)/84 = 37/42.37/42
Answer: B
Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money T would he earn per month?  Select the correct option.
A) $700	B) $754	C) $770	D) $782	E) $893

Solution: OFFICIAL SOLUTION:   (C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:   $812 = 1.16S, where S is his current salary.   Then S = $812/1.16= 
812/1.16 = 700
$700.   Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:   T=$700 + $70 = $770.   The correct answer is choice ($770).700 +  70= 
700 +  70 = 770
$770.   The correct answer is choice ($770).
Answer: C
The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 28 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?  Select the correct option:
A) 27
B) 33
C) 84
D) 81
E) 162

Solution: Answer is the L84M of 6 and 28   = 84   Answer 84
Answer: C
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is	Choose the most appropriate option:	A) 8/15	B) 2/5	C) 3/5	D) 11/15	E) 7/15

Solution: Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.   Similarly from eight white balls two can be drawn in ⁸C₂ ways.   P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 7/15   ANSW7/15R:7/15
Answer: E
When a positive integer A is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 7 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)? Select:  A) 10  B) 14  C) 21  D) 28  E) 36

Solution: A = 7k+1 = 3j+2   B = 7m+1 = 3n+2   A-B = 7(k-m) = 3(j-n)   A-B is a multiple of both 7 and 3, so it is a multiple of 21.   The answer is 21.
Answer: C