MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following cannot be the range of a set consisting of 5 odd multiples of 7?  Choose the correct answer.
A) 56	B) 112	C) 224	D) 448	E) 425

Solution: Solution: sequence of 7 lets say sequence is 7n, 7(n+1), 7(n+2), 7(n+3), 7(n+4)   so range is 7n+28-7n = 28   if we put the different values of n we will get different but the range will be multiple of 28   and only 425 is not multiple of 28   Answer : 4257 +28-7= 
7 +28-7 = 28
28   if we put the different values of n we will get different but the range will be multiple of 28   and only 425 is not multiple of 28   Answer : 425
Answer: E
Find the area of circle whose diameter is 8 m.	Choices:
A) 50.00 square meter	B) 50.04 square meter	C) 50.28 square meter	D) 50.24 square meter	E) 50.43 square meter

Solution: Diameter = 8 meter.   Radius = diameter/2.   = 8/2.= 
8/2. = 4
4 meter.   Area of a circle= Ï€r2.   Here, pi (Ï€) = 3.14 meter, radius (r) = 4.   Area of a circle = 3.14 Ã— 4 Ã— 4..   = 3.14 Ã— 16.   = 50.28 square meter ANSWER : 50.28 square meter
Answer: C
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 10 pumps work to empty the tank in 1 day?	Choose the correct choice from the following answers:  A) 4.8  B) 3.6  C) 1.1  D) 1.2  E) 1.3

Solution: 3 pumps take 16 hrs total (8 Hrs a day)   If 1 pump will be working then, it will need   16*3= 
  16*3 = 48
48 hrs   1 pump need 48 Hrs   If I contribute 10 pumps then     48/10= 
  48/10 = 24/5 = around 4.8
4.8 hrs.   answer :4.8
Answer: A
In how many ways can the letters of the word RECPECT be arranged?
Choose the correct choice from the following answers.
A) 1234
B) 1643
C) 2520
D) 2856
E) 3977

Solution: RECPECT has 7 words, but E is repeated two times. Thus ways = 7! / 2! = 2520 ways   2520
Answer: C
The sale price sarees listed for Rs.345 after successive discount is 12% and 25% is?  Select the correct option:  A) 321  B) 276  C) 342  D) 228  E) 245

Solution: Explanation:   345*(88/100)*(75/100) = 228   Answer: 228
Answer: D
If taxi fares were $1.00 for the first 1/5 mile and $0.50 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Choose one
A) $1.56	B) $2.40	C) $3.80	D) $4.20	E) $8.00

Solution: In 3 miles , initial 1/5 mile charge is $1   rest of the distance = 3 - (1/5) = 14/5   rest of the distance charge = 14(0.5) = $7 (as the charge is 0.5 for every 1/5 mile)   => total charge for 3 miles = 1+7= 
1+7 = 8
8   Answer is $8.00.
Answer: E
P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?  Pick: A) 8 B) 5 C) 4 D) 6 E) 3

Solution: Explanation :   Work done by P in 1 day = 1/18   Work done by Q in 1 day = 1/15   Work done by Q in 10 days = 10/15 = 2/3   Remaining work = 1 – 2/3 = 1/3   Number of days in which P can finish the remaining work = (1/3) / (1/18)= 
(1/3) / (1/18) = 6
6   Answer : Option 6
Answer: D
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is ?  Choose the correct choice from the following answers.
A) 25%  B) 26%  C) 27%  D) 28%  E) 29%

Solution: Explanation:   Let original length = x   and original width = y   28%ecrease in area will be   =xy−(80x/100×90y/100)   =(xy−18/25xy)=7/25xy   28%ecrease = (7xy/25xy×100)%=28   Option 28%
Answer: D
A computer wholesaler sells nine different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Answers:
A) 15/56  B) 3/28  C) 1/12  D) 1/56  E) 1/168

Solution: Since, two of the choices are prefixed, we are free to choose 1 from the rest of the 7 avilable. so 7C1 is the numerator.   Total no of ways we can choose 3 from 9 is 9c3, which is the denominator.   So, the probability: 7c1/9c3= 1/12 ans is 1/12.
Answer: C
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time, how many books of the special collection were loaned out during that month? Select:
A) 20  B) 30  C) 35  D) 40  E) 55

Solution: there are 8 books less(75-68) which represents 20% of the loaned books (100-80)   So total loaned out books = 40   Answer 40
Answer: D
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling eight books ?
Choose the correct choice
A) 600	B) 1200	C) 1800	D) none of these	E) 1900

Solution: Explanation:   Least Cost Price = Rs. (200 * 8) = Rs. 1600.   Greatest Selling Price = Rs. (425 * 8) = Rs. 3400.   Required profit = Rs. (3400 - 1600) = Rs. 1800. Answer: 1800
Answer: C
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?  Pick
A) 6%	B) 6.5%	C) 7%	D) 7.5%	E) 8%

Solution: Explanation:   Let the rate be R% p.a.   Then, 1200 x(1 +R/100)2=1348.32   =(1 +R/100)2=134832/120000=11236/10000   (1 +R/100)2=(106/100)2   =>1 +R/100=106/100   R = 6%   6%NSWER IS 6%
Answer: A
Calculate the circumference of a circular field whose radius is 6 centimeters. Choose the correct choice from the following answers:
A) 2 π cm  B) 1 π cm  C) 15 π cm  D) 12 π cm  E) 19 π cm

Solution: Circumference C is given by   C = 2πr = 2π*6 = 12 π cm   Answer: 12 π cm2 *6= 
2 *6 = 12
12 π cm   Answer: 12 π cm
Answer: D
A certain list of 240 test scores has an average (arithmetic mean) of 85 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 242 test scores with a standard deviation less than d ? Choices:
A) 80 and 80	B) 80 and 85	C) 80 and 90	D) 85 and 86	E) 85 and 90

Solution: The standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.   So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.   According to the aboveadding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.   Closest to the mean are 85 and 86 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD most.   Answer: 85 and 86.
Answer: D
x, 17, 3x - y2 - 2 and 3x + y2 - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:
Select:  A) 2  B) 3  C) 5  D) 7  E) 11

Solution: Step by step solution   The question does NOT state that the terms are all integers. That is an unstated assumption and is essential to solve the question.   The four terms are in an arithmetic sequence and the sequence is an ascending sequence. i.e., the second term is greater than the first term and so on.   The sum of the four terms = x + 17 + 3x - y2 - 2 + 3x + y2 - 30 = 7x - 15   If we get an idea about the type of number x is, we will be able find the answer to the question.   Because these 4 terms are in an arithmetic sequence, the difference between any two terms will be the same.   So, 17 - x = (3x + y2 - 30) - (3x - y2 - 2)   i.e., 17 - x = 2y2 - 28   Or 45 - x = 2y2   Because y is an integer, 2y2 has to be an even integer.   Unless x is odd, 45 - x cannot be even.   So, we can deduce that x is odd.   The sum of the four terms is 7x - 15   x is odd;   So, 7x will also be odd.   Hence,   7x - 15 will be even.   Therefore, the sum of the 4 terms will be divisible by 2.   The correct answer is Choice 2.
Answer: A
If d and y are integers, then dy(d + y) is	Options.
A) Always positive	B) Always negative	C) Positive when d is positive	D) Negative when d is negative	E) It cannot be determined by the information given

Solution: Given d and y are integers, then dy(d + y)   Let's take even as 2 / -2 and odd as 3 / -3..we get the following.. and IMO option D is correct answer..   I presume its Option E if am not missing anything.   d=-3 and y=1   dy(d + y) is positive = 6
Answer: E
The market value of a certain machine decreased by 20 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?
Select
A) $8,000	B) $5,600	C) $3,200	D) $2,400	E) $4,800

Solution: E.   Market value in 1982= $ 8000   Market value in 1983 = $ 8000- ($ 8000 x 20/100) = 8000-1600= 
8000-1600 = 6_400
$ 6400   Market value in 1984= Market value in 1983 - (20 % of $8000)= 6400-1600= 
6400-1600 = 4_800
$4800
Answer: E
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State? Options:	A) 7000	B) 8000	C) 6000	D) 5000	E) 4000

Solution: State A and State B had an equal number of candidates appeared.   In state A, 6% candidates got selected from the total appeared candidates   In state 8000, 7% candidates got selected from the total appeared candidates   8000ut in State 8000, 80 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State 8000 = 80   => total appeared candidates in State 8000 = 80 x 100 = 8000   => total appeared candidates in State A = total appeared candidates in State 8000 = 8000
Answer: B
The ratio of three numbers is 1:2:3 and the sum of their squares is 2016. The sum of the numbers is? Choose the correct choice from the following answers:
A) A)10
B) B)12
C) C)15
D) D)14
E) E)9

Solution: Let the numbers be x,2x,3x   then, x^2+4x^2+9x^2 = 2016   14x^2 = 2016   x^2 = 144   x=12   Answer is 12
Answer: B
A and B start a business jointly. A invests Rs.16000 for 5 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
Choose the correct choice from the following.
A) A)Rs.8000  B) B)Rs.8200  C) C)Rs.12293  D) D)Rs.12804  E) E)Rs.12830

Solution: 16*5: x*4 = 5:2   x = 8 =>   Rs.8000   Rs.8000nswer: Rs.8000
Answer: A
A box contains ten bulbs out of which 6 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?	Choose the correct choice from the following answers
A) 1/127	B) 1/210	C) 1/128	D) 1/198	E) 1/126

Solution: Out of nine, five are good and four are defective. Required probability   = 6C6/10C6   = 1/210   Answer: 1/210
Answer: B
If paint costs $3.10 per quart, and a quart covers 20 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?	Choose the correct option
A) $ 1.60	B) $ 16.00	C) $ 93.00	D) $108.00	E) $196.00

Solution: total surface area = 6a^2 = 6*10*10= 
6*10*10 = 600
600   each quart covers 20 sqr ft   thus total number of quarts= 600/20= 
600/20 = 30
30   cost will be  30*3.1= 
 30*3.1 = 93
$93   Ans: $ 93.00
Answer: C
The sum of the ages of 4 children born at the intervals of 4 years each is 36 years. what is the age of the youngest child ?
Select the correct option.
A) 3
B) 18
C) 10
D) 99
E) 38

Solution: Let x = the youngest child. Each of the other four children will then be x+4, x+8, x+12   We know that the sum of their ages is 36 .   so, x+(x+4)+(x+8)+(x+12) = 36   therefore The youngest child is 3 years old   3nswer: 3
Answer: A
Find the compound interest on $1200 for 2 years at 20% p.a. if CI is component yearly?  Choose one
A) $120 B) $150 C) $548 D) $250 E) $300

Solution: A = P(1 + R/100)^T   = 1200(1 + 20/100)^2   =$1728   $548I = $548   Answer is $548
Answer: C
What is the missing number of the following sequence.
3 48,?,24,30,12,90
Choose one:
A) 56	B) 10	C) 33	D) 61	E) 16

Solution: for Even places x/2 from the start   for Odd places x/3 from the end   EVEN places ODD Places   ----------- ----------   48/2= 
48/2 = 24
24 90/3= 30   24/2= 
24/2 = 12
12 30/3= 10   ANSWER:10
Answer: B
Last year Carlos saved 10 percent of his annual earnings. This year he earned 5 percent more than last year and he saved 12 percent of his annual earnings. The amount saved this year was what percent of the amount saved last year?	Select the correct option:
A) 122%  B) 124%  C) 126%  D) 128%  E) 130%

Solution: Earnings = 100 (assume).   Amount saved = 0.1*100= 
0.1*100 = 10
10.   THIS YEAR:   Earnings= 100*1.05= 
100*1.05 = 105
105.   Amount saved= 0.12*105 =12.6.   The amount saved this year as a percent of the amount saved last year is (this yea)/(last year)*100 = 12.6/10*100= 
12.6/10*100 = 126
126%.   Answer: 126%.
Answer: C
The smallest number which when diminished by 15, is divisible 10, 15, 25, 30 and 35 is: Choose the most appropriate option.
A) 1008	B) 1055	C) 1022	D) 1032	E) 1048

Solution: Required number = (L.C.M. of 10, 15, 25, 30, 35) + 15   = 1050 + 15   = 1055   Answer: Option 1055
Answer: B
Synthia can buy watches at a price of Z dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of Z and X and Y, what is the percent of the markup from her buy price to her sell price? Pick.
A) (YZ)/100X B) 100X-(YZ) C) 100X+(YZ) D) 100X*(YZ) E) 100X/(YZ)

Solution: Algebraic Solution:If she makes a total profit of X for Y watches, then that must be a profit of X/Y for each watch. That must be the markup above cost on each watch, the amount of the increase. Well, percent increase = (amount of increase)/(starting amount) x 100% = (X/Y)/Z *100 = 100X/(YZ)   Answer : 100X/(YZ)
Answer: E
The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?	Choose one:
A) 33 m3
B) 77 m3
C) 60 m3
D) 27 m3
E) 29 m3

Solution: lb = 20 ; lh = 15 ; fh = 12   (lbh)2 = 20 * 15 * 12 => lbh = 60 m3   Answer:60 m3
Answer: C
The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle? Choose the correct choice from the following:
A) 22 cm B) 40 cm C) 28 cm D) 10 cm E) 11 cm

Solution: let length = 2x and breadth = x then   (2x-5) (x+5) = (2x * x)+75   5x-25 = 75 => x=20   length of the rectangle = 40 cm   Answer: 40 cm
Answer: B
If x/5 - 6/x = 1/5, what are the values of 3x - 7?
Choose the correct choice.
A) -22 and 11
B) 8 and 24
C) 17 and 21
D) 12 and 29
E) 17 and 29

Solution: I got the same thing -22 and 11 is the answer -22 or 11
Answer: A
A man sells a car to his friend at 14% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Options
A) Rs.22325.58	B) Rs.32325.58	C) Rs.52325.58	D) Rs.62325.58	E) None of these

Solution: Explanation:   S.P = Rs.54,000. Gain earned = 20%   C.P = Rs.[100/120Ã—54000]   =Rs. 45000   This is the price the first person sold to the second at at loss of 14%.   Now S.P = Rs.45000 and loss = 14%   C.P. Rs.[100/86Ã—45000]= Rs.52325.58.   Rs.52325.58orrect Option : Rs.52325.58
Answer: C
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 4 years is
Options:
A) s.9621
B) s.6921
C) s.9724
D) s.6261
E) s.6361

Solution: c.i=p(1+r/100)^n   =8000(1+5/100)^4   =Rs9724   ANSWER:s.9724
Answer: C
What is the least value of x. So that 22x57 is divisible by 3.
Choose the correct choice from the following:	A) 2	B) 0	C) 1	D) 3	E) 4

Solution: Explanation:   The sum of the digits of the number is divisible by 3, then the number is divisible by3.   2 + 2 + x + 5 + 7 = 16 + x   Least value of x may be 2   Therefore  16 + 2= 
 16 + 2 = 18
18 is divisible by 3.   2nswer: Option 2
Answer: A
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
Choose the correct choice from the following answers:	A) 15 kmph	B) 36 kmph	C) 21 kmph	D) 17 kmph	E) 19 kmph

Solution: Let the speed of the goods train be x kmph.   Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours   10x = 4 x 90 or x =36.   So, speed of goods train = 36kmph.   Ans: 36 kmph
Answer: B
How many positive integers n have the property that when 1,000,063 is divided by n, the
remainder is 63?	Choose the correct choice from the following options
A) 29	B) 37	C) 39	D) 49	E) 79

Solution: Suppose n is a positive integer such that the remainder when 1,000,063 is divided   by n is 63. Then, 1,000,063 = nq + 63 where n > 63 (the remainder is always less than the   divisor). Thus 1,000,000 = 106 = nq. All we have to do is count the divisors of 106 that are   greater than 63. Now 106 = 2656 has 49 positive divisors. Exactly twelve are 63, namely   1; 2; 4; 8; 16; 32; 5; 10; 20; 40; 25; 50. Thus, the answer is 37.   correct answer 37
Answer: B
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?  Choose the correct option: A) 11 days B) 77 days C) 30 days D) 88 days E) 17 days

Solution: 30 days = 1/5 – 1/6 = 1/30 => 30 days   Answer:30 days
Answer: C
What is the probability that when a hand o f 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?	Choices:
A) 1/23445	B) 113/22434	C) 29187by1017926	D) 1017926/29187	E) None of these

Solution: nCr = n!/(n-r)!r!   Total number of possible hands = 52C6   52C6 = (52!)/((52-6)! × 6!)   52C6 = 61075560.   Number of hands with 2 Queen and 4 non-Queen cards = 4C2 × 48C4   4C2 = (4!)/(2! × 2!) = 6.   4829187by10179264 = (48!)/(44! × 4!) = 3 × 47 × 46 × 45 = 291870   (other 2 cards must be chosen from the rest 48 cards)   P (2 Queen) = (429187by10179262 × 4829187by10179264)/5229187by10179266 = 29187/1017926   29187by1017926
Answer: C
What is the probability P of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Choose the correct choice from the following answers:
A) 1/13
B) 1/20
C) 1/26
D) 1/50
E) 1/100

Solution: Why do you calculate the total combinations and everything, it is much easier to calculate as follows:   3/13 * 1 * 1 * 1 * 1 ..... * 2/12 = 6/156 = 1/26   This is because 3/13 = Probability that first letter will be E and 2/12 = probability that thefirstletter will be R. Between everything else cuts down to 1*1*1... e.g. probability of the second letter is P=11/11= 
11/11 = 1
1, > we do not care what's in between.1/26
Answer: C
Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.18750 then A's share is (in Rs.)  Choose the correct option:  A) 10000  B) 6500  C) 5000  D) 7500  E) 8500

Solution: 18000:22500:27000   4:5:6   A's share=18750*4/15= 
18750*4/15 = 5_000
5000   ANSWER:5000
Answer: C
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 7 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 7 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?  Choose the most appropriate option:	A) 9C7	B) 9P3	C) 9C9	D) 9C6	E) 69

Solution: since we have to select random 7 numbers from 9 and they all are distinct. i think it should be 9C7 or 9C7
Answer: A
Ratio of present age of P and Q is 7 : 3. After four years their ages are in the ratio of 2 : 1. What is the present age of P ?	Pick.
A) 24 years
B) 28 years
C) 32 years
D) Data inadequate
E) None of these

Solution: P⁄Q = 7⁄3 ⇒ Q = 3⁄7P.....(i)   also,2Q + 8 = P + 4   or, 2Q – P = – 4...(ii)   Combining equations (i) and (ii), we get   P = 28 years   Answer 28 years
Answer: B
If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 2n years?  Choose the most appropriate option:
A) (1+k)^n  B) (1+k/100)^2n  C) (1+kn/100)  D) (1+n/100)^k  E) (1+kn)

Solution: Amount after 4n years will be = x ( 1 + k/100)^4n   Amount after 3n years will be = x ( 1 + k/100)^2n   So, required ratio will be -   { x ( 1 + k/100)^4n } / {x ( 1 + k/100)^2n } = (1+k/100)^2n   Hence answer will be a. (1+k/100)^2n   (1+k/100)^2n
Answer: B
Which of the following inequalities is represented by the following number line?
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 Options
A) –5 < x < 5  B) –5 ≤ x < 5  C) –5 < x ≤ 5  D) |x| < 5  E) 5 ≤ |x|

Solution: The number line includes all values that are both greater than or equal –5, but strictly   less than 5, so the correct answer –5 ≤ x < 5)–5 ≤ x < 5
Answer: B
The largest number in a series of consecutive even integers is w. If the number of integers is n, what is the smallest number in terms of w and n?	Choose the correct choice from the following options
A) w– 2n  B) w–n + 1  C) w– 2(n– 1)  D) n– 6 + w  E) w – n/2

Solution: Another method would be to use the concept of Arithmetic Progressions. Consecutive even integers form an AP where the common difference is 2.   In an AP, Last term = First term + (n-1)*common difference   w = First term + (n-1)*2   First term = w - 2(n-1)   ANSWER:w– 2(n– 1)
Answer: C
8 books are to be arranged in a shelf. Among these, 3 are copies of the same Math book, 3 are copies of the same Physics book and the remaining are copies of the same Chemistry book. How many different arrangements can be created?
Choose one:
A) 8!/{3!^3}  B) 8!/{3!3!2!2!}  C) 8!/{3!^2}  D) 8!/{(2!)(3!^2)}  E) 8!/{2!^3}

Solution: The total number of ways in which a total N items, out of which p are identical of one type, q are identical of another type and rest are different, can be arranged in a line is N!/{p!q!}   In the given problem, we have 8 books out of which 3 are identical Math books, 3 are identical Physics books and the remaining 2 are the same Chemistry books.   Hence the number of words that can be formed is 8!/{3!3!2!}   Ans 8!/{(2!)(3!^2)}
Answer: D
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 80 and a standard deviation of 14, which of the following is exactly 2.60 standard deviations more than the mean?
Pick one.
A) a) 43.6
B) b) 60
C) c) 72
D) d) 77.5
E) e) 81

Solution: Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.   Here, we're told two things about a group of numbers:   1) The average of the group is 80   2) The standard deviation of the group is 14   If you go 1 SDupfrom the average, you hit.....80+14 = 94   If you go 1 SDdownfrom the average, you hit.....80-14 = 66   If you go 2 SDsupfrom the average, you hit.....80+2(14) = 108   If you go 2 SDsdownfrom the average, you hit.....80-2(14) = 52   Etc.   Here, we're asked for the number that is EXACTLY 2.60 SDs above the mean....   2.60 SDsupwould be.....80 + 2.60(14) = 43.6   a) 43.6
Answer: A
If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 12 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers?	Pick:
A) 6
B) 16
C) 18
D) 30
E) 174

Solution: The number of integers that belong to set X ONLY is 12-6= 
12-6 = 6
6;   The number of integers that belong to set Y ONLY is   18-6= 
  18-6 = 12
12;   The number of integers that belong to set X or set Y, but not both is   6+12= 
  6+12 = 18
18.   Answer: 18.
Answer: C