MU-NLPC/Calc-aqua_rat huggingface dataset:
A committee of 6 is chosen from 8 men and 5 women so as to contain at least 2 men and 3 women. How many different committees could be formed if two of the men refuse to serve together?
Choices.
A) 3510
B) 2620
C) 1404
D) 700
E) 635

Solution: Committee can have either: 2 men and 4 women OR 3 men and 3 women (to meet the condition of at least 2 men and 3 women).   Ways to chose 6 members committee without restriction (two men refuse to server together): C28∗C45+C38∗C35=700C82∗C54+C83∗C53=700   Ways to chose 6 members committee with two particular men serve together: C22∗C45+(C22∗C16)∗C35=5+60= 
5+60 = 65
65C22∗C54+(C22∗C61)∗C53=5+60= 
5+60 = 65
65   700-65= 
700-65 = 635
635   Answer: 635.
Answer: E
On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number W of races we need to conduct to get the top 3 fastest horses? Choose the correct choice from the following choices:
A) 5
B) 7
C) 8
D) 10
E) 11

Solution: W=7 is the correct answer.   Good solution 7uneul.7
Answer: B
When a train travels at a speed of 80kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?	Choose the correct choice:
A) 25km
B) 50km
C) 60km
D) 85km
E) 95km

Solution: Let x be the time reached with the speed 80km/h   50km/h ----> x+15   Distance is equal so   80(km/h)× xhr = 50(km/h) × (x+15) hr   So   80 x = 50x + 750   So the would be in km   25kmnd x = 25   25kmNSWER:25km
Answer: A
Two pipes A and B can fill a tank in 24 and 48 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?	Choose the correct choice from the following answers:
A) 12 B) 16 C) 19 D) 20 E) 22

Solution: Part filled by A in 1 min. = 1/24   Part filled by B in 1 min. = 1/48   part filled by (A + B) in 1 min. = 1/24 + 1/48 = 1/16.   Both the pipes can fill the tank in 16 minutes.   Answer: 16
Answer: B
In Lottery,there are 10 prizes and 25 blanks.A lottery is drawn at random.What is the Probability of getting a prize? Options.
A) 1/7  B) 2/7  C) 3/7  D) 4/7  E) 1

Solution: Total number of outcomes possible,n(s)=10+25= 
10+25 = 35
35.   Total number of prize,n(e)=10   p(e)=n(e)/n(s)=10/35=2/7   Answer is option 2/7
Answer: B
If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work? Pick one:
A) 32	B) 27	C) 26	D) 99	E) 11

Solution: Given that 5 women is equal to 8 girls to complete a work.   So, 10 women = 16 girls.   Therefore 10 women + 5 girls = 16 girls + 5 girls = 21 girls.   8 girls can do a work in 84 days then 21 girls can do a work in (8*84/21)= 
(8*84/21) = 32
32 days.   Therefore 10 women and 5 girls can a work in 32 days   32nswer : 32.
Answer: A
A bookstore has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. If the sum of the discount rates for the two types of books is 43 percent, what is the discount rate on mysteries?
Answers:
A) 24%	B) 25%	C) 30%	D) 37.5%	E) 40%

Solution: Let B be the discount on biographies and M be the discount on mysteries   So., B + M = 0.435 -----(1)   And   (20*5 + 12*3) - (20*5*(1-B) + 12*3*(1-M)) = 19   --> 100(1-(1-B)) + 36(1-(1-M) = 19   100B + 36M = 19 ------(2)   Solving 12., we get M = 0.375 = 37.5%   37.5%
Answer: D
Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours.If all the three pipes operate simultaneously, in how much time will the tank be filled? Choose the correct option:
A) 7 hrs 30 min	B) 7 hrs 45 min	C) 8 hrs 30 min	D) 8 hrs 45 min	E) 8 hrs 55 min

Solution: 1/10+1/12-1/20=2/15   so 15/2 is equal to 7:30   7 hrs 30 minNSWER:7 hrs 30 min
Answer: A
A person buys an article at Rs.650. At what price should he sell the article so as to make a profit of 10%?	Select:
A) 600 B) 715 C) 269 D) 261 E) 281

Solution: Cost price = Rs.650   profit = 10% of 650 = Rs.65   Selling price = Cost price + Profit   = 650 + 65 = Rs.715   Answer: 715
Answer: B
What day of the week was 3rd January 1501  Options
A) Thursday
B) Tuesday
C) Monday
D) Saturday
E) Sunday

Solution: Explanation:   3rd Jan 1501 = (1500 years + 3rd Jan 1501)   We know that number of odd days in 400 years = 0   Hence the number of odd days in 1200 years = 0 (Since 1200 is a perfect multiple of 400)   Number of odd days in the period 1201-1500   = Number of odd days in 300 years   = 5 x 3 = 15 = 1   (As we can reduce perfect multiples of 7 from odd days without affecting anything)   3rd Jan 1501 = 3 odd day   Total number of odd days = (0 + 1 + 3)= 
(0 + 1 + 3) = 4
4   4 odd days= Thursday   Hence 3rd January 1501 is Thursday.   Thursdaynswer: Option Thursday
Answer: A
How many numbers from 10 to 100 are exactly divisible by 9?
Choose the correct choice from the following answers:	A) 7	B) 8	C) 10	D) 12	E) 14

Solution: Option 'C'   10/9 = 1 and 100/9 = 11 ==> 11 - 1= 
11 - 1 = 10
10. Therefore 10 digits.
Answer: C
There are four prime numbers written in ascending order. The product of first three is 385 and that of last three is 1001. The last number is:  Choose the correct choice from the following answers:
A) 9	B) 13	C) 15	D) 12	E) 19

Solution: Explanation:   abc/bcd=385/1001=>a/d=5/13   So d = 13   Option 13
Answer: B
The percentage profit earned by selling an article for Rs. 1720 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?	Choose the correct choice from the following answers:  A) 3000  B) 1230  C) 1875  D) 5600  E) 3400

Solution: Then, (1720 - x)/x * 100 = (x - 1280)/x * 100   1720 - x = x - 1280   2x = 3000 => x = 1500   Required S.P. = 125 % of Rs. 1500 = 125/100 * 1500 = Rs. 1875.   ANSWER 1875
Answer: C
The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle. Choose the correct choice:
A) 120m	B) 145m	C) 130m	D) 140m	E) 122m

Solution: Let inner radius be r metres   Then 2πr = 640   2 × 22/7 r = 880   44/7 r = 880   r = 880 × 7/44 = 140 m   Answer is 140m.
Answer: D
5,9,19,31,51,__  Choices
A) 84
B) 80
C) 81
D) 82
E) 83

Solution: (9+5) +5= 
(9+5) +5 = 19
19   (16+9) +6= 
(16+9) +6 = 31
31   (28+16)+7= 
(28+16)+7 = 51
51   (48+28)+8= 
(48+28)+8 = 84
84   84NSWER:84
Answer: A
Lexi needed to save for 30 days to afford a vacation at the job that paid her $125 per day. Lexi got a new job that pays $150 per day. How many days will she need to save to afford a vacation with this job?	Choose one:	A) 25	B) 20	C) 27	D) 29	E) 26

Solution: D1 P1 = D2 P2   30*125=D2*150 => D2=25   25nswer:25
Answer: A
0.001 Ã— 0.001 = ?  Select:
A) 0.1  B) 0.001  C) 0.01  D) 1.0e-06  E) None of these

Solution: 0.001 Ã— 0.001 = ?   or,? = 0.000001   Answer 1.0e-06
Answer: D
In a consumer survey, 60% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 10% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?  Choices: A) 10 B) 15 C) 20 D) 25 E) 30

Solution: 40 + 30 + 20= 
40 + 30 + 20 = 90
90   This number includes some people counted twice and some people counted three times.   90 - 60= 
90 - 60 = 30
30, and this number represents people counted twice or three times.   10% of the people are counted two extra times.   The percentage of people counted one extra time is 30 - 10(2)= 10.   The percentage of people who liked more than one product is 10% + 10% = 20%.   The answer is 20.10  + 10= 
10  + 10 = 20
20%.   The answer is 20.
Answer: C
2.08 can be expressed in terms of percentage as	Answers
A) 2.08% B) 20.8% C) 208% D) 0.208% E) None of these

Solution: Explanation:   While calculation in terms of percentage we need to multiply by 100, so   2.08 * 100= 
2.08 * 100 = 208
208   Answer: Option 208%
Answer: C
John takes 10 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?  Select the correct option.
A) 2 hours, 10 minutes	B) 2 hours, 30 minutes	C) 3 hours, 20 minutes	D) 3 hours, 45 minutes	E) 4 hours, 10 minutes

Solution: The rate of John plus Bill is 1/10 + 1/6 = 4/15 of the job completed per hour.   If Steve worked at the same rate as John, the rate would be 4/15 + 1/10 = 11/30   The slowest possible time would be 30/11 hours = 2 hours + 8/11 hours.   If Steve worked at the same rate as Bill, the rate would be 4/15 + 1/6 = 13/30   The fastest possible time would be 30/13 hours = 2 hours + 4/13 hours.   The actual time is somewhere between these two extreme points.   The answer is 2 hours, 30 minutes.
Answer: B
A certain sum amounts to Rs.1550 in 2 years and Rs.1700 in 3 years. Find the rate % per annum? Choose one
A) 5.67%  B) 7.67%  C) 6.67%  D) 4.67%  E) 8.67%

Solution: 2 --- 1550   3 --- 1700   --------------   1 --- 150   N = 1 I = 150 R = ?   P = 1550 - 300= 
1550 - 300 = 1_250
1250   150= (1250*1*R)/100   R = 6.67%   Answer: 6.67%
Answer: C
If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?  Choose the correct choice from the following options: A) 52 B) 166 C) 84 D) 122 E) 168

Solution: 10x = 8y = 14z   5x = 4y = 7z   5(4*7) = 4(5*7) = 7(5*4)   Addition = 28+20+35= 
28+20+35 = 83
83   Answer would be multiple of 83 which is 166   Answer :166
Answer: B
A heap of grapes is divided into groups of 3, 5 and 7 and each time one coconut is left over. The least number of grapes in the heap is?
A. 31 B. 41 C. 51 D. 61  Choose the correct choice:
A) A)31 B) B)41 C) C)106 D) D)61 E) E)71

Solution: L106M = 105   => 105 + 1= 
105 + 1 = 106
106   ANSWER:106
Answer: C
A picnic attracts 240 persons. There are 40 more men than women, and 40 more adults than children. How many men are at this picnic?
Choose the correct choice from the following choices
A) 240 B) 75 C) 110 D) 90 E) 200

Solution: Adult + Children = 240   Let, Children = y   then, Adult = y+40   i.e. y+(y+40) = 240   i.e. y = 100   i.e. Adult = 100+40= 
100+40 = 140
140   Adults include only Men and Women   i.e. Men + Women= 140   Let women, W = x   then Men, M = x+40   i.e. x+(x+40) = 2x+40 = 140   i.e. x = 54   i.e. Men, M = 54+40 = 90   Answer: Option 90
Answer: D
What is the sum E of all 3 digit numbers that leave a remainder of '2' when divided by 3? Choose the correct choice from the following answers:
A) 897  B) 164,850  C) 164,749  D) 149,700  E) 156,720

Solution: The series is => 101+...998   Number of terms => 300   sum => 300/2 * [101+998]   hence sum E=> 164850 i.e. option 164,850
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Choose the correct choice:  A) s.4529  B) s.3624  C) s.4597  D) s.4530  E) s.4528

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 4   =Rs.3624   Answer: s.3624
Answer: B
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Pick one: A) Rs.250 B) Rs.252 C) Rs.228 D) Rs.208 E) Rs.229

Solution: CP1 = 100 SP1 = 90   CP2 = 80 SP2 = 80 * (140/100)= 
80 * (140/100) = 112
112   22 ----- 100   55 ----- ?=> Rs.250   Rs.250nswer:Rs.250
Answer: A
Plane leaves from Chelsea every 45 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
Choose the correct option:
A) 5:35 p.m	B) 6:40p.m	C) 7:35 p.m	D) 8:35 p.m	E) 9:35 p.m

Solution: Explanation:   Time of Frank Lampard last missed plane = 7:00 p.m - 45 min = 6:15 p.m   As this information has been given to Frank Lampard 25 minutes after the plane has already left, the air hostess gave the information at 6:15 p.m + 25 min = 6:40 p.m   Answer 6:40p.m
Answer: B
A new model car was not selling as expected and the base retail price was lowered by 5% to increase sales. A customer haggled on the price and negotiated a final agreed price of 90% of the retail price. How much did the customer save off the retail price? Choose the correct option.
A) 10.5%  B) 11.5%  C) 12.5%  D) 13.5%  E) 14.5%

Solution: Quantity X Rate = Price   1 X 1 = 1   0.9 X 0.95 = 0.855   Decrease in price = (0.145/1) Ã— 100 = 14.5%   Answer = Option 14.5%
Answer: E
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Choose the correct answer
A) 28,009
B) 28,007
C) 28,097
D) 28,000
E) 28,012

Solution: 3:1   2:1   ------   6:1   1 ----- 4000   7 ----- ? => Rs.28,000   Answer: 28,000
Answer: D
If 85% of 3/5 of a number is 36, then the number is? Choose the correct choice from the following answers.
A) 80 B) 100 C) 70.5 D) 90 E) None of these

Solution: Let the number be x. Then 85% of 3/5 of x=36   85/100*3/5*x=36   x=(36*100/51)=70.5   Required number=70.5.   70.5orrect Option: 70.5
Answer: C
If the average (arithmetic mean) of the four numbers 13, 15, 52, and (N + 1) is 52, then N = Select the correct option:
A) 1 19	B) 120	C) 1 21	D) 122	E) 127

Solution: 13+15+52+N+1= 52 x 4 = 208   =>N +81 = 208   =>N=127   Answer 127
Answer: E
x is what percent of y percent of z, in terms of x, y and z? n be the value expressed in terms of x,y and z. Choose the correct option:  A) xyz  B) 10^4x/yz  C) 1/xyz  D) 10^3 xyz  E) 10^-3 xyz

Solution: Algebraically, y% of z is just (y/100)*z, or yz/100. So we want to answer the question: x is what percent of yz/100? Say x is equal to n% of yz/100; then we have:   x = (n/100)*(yz/100)   10,000x/yz = n   10^4x/yz
Answer: B
In the list 2, 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?  Choose the correct choice from the following options
A) 3/10 B) 1/3 C) 2/5 D) 2/3 E) 7/9

Solution: Mode: The mode of any set is the term which has the highest frequency (Occurrence)   Highest frequent term in the set is 5 (with frequency 4) hence   Mode = 5   three terms (2, 3, 4) out of a total of 10 terms are less than mode of the set.   Fraction of set that are less than Mode of set = 3/10   3/10nswer: Option 3/10
Answer: A
In a murder case there are four suspects P,Q,R,S. Each of them makes a statement. They are p:
"I had gone to the theatre with S at the time of the murder".q: "I was playing cards with P at the time of the murder".r: "Q didn't commit the murder".s: "R is not the murderer".Assuming the only one of the above statement is false and that one of them is the murderer, who is the murderer?
Choices:	A) P	B) Q	C) R	D) S	E) T

Solution: According to Question,   P: (s and p in theatre)   Q:(q and p playing cards)   R: q not the murderer   S: R not the murderer   IF S is false,   P has to be in theatre with S.   P playing cards with Q.   This is Impossible.   If R is false,   P has to be in theatre with S.   P playing cards with Q.   This is Impossible.   If q is False,   S and P are in theatre.   Q and R are not murderers.   This is also impossible because one of them is the murderer.   so P is false.   Q and R are not murderers.   P playing cards.   hence our murderer is S..   ANSWER:S
Answer: D
Three bodies X, Y and Z start moving around a circular track of length 960m from the same point simultaneously in the same direction at speeds of 12 m/s, 20 m/s and 36 m/s respectively. When will they meet for the first time after they started moving?
Options.
A) 240 seconds
B) 120 seconds
C) 60 seconds
D) 180 seconds
E) 100 seconds

Solution: If they all meet after T seconds, it means they covered the distances 12T, 20T, and 36T respectively.   Since they all arrive to the same spot, it means that the differences taken pairwise between the distances must be positive integer multiples of the length of the track, which is 960m. So, 8T, 16T, and 24T must all be multiples of 960. 8T multiple of 960 means T multiple of 120. The smallest T with this property is 120 and is on the list of answers.   Answer 120 seconds.
Answer: B
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 62.50, his capital is?  Select:
A) 24,602
B) 25,000
C) 24,600
D) 24,628
E) 24,6012

Solution: Let the capital be Rs. x. Then,   (x * 8 * 1)/100 - (x * 31/4 * 1/100) = 62.50   32x - 31x = 6250 * 4   x = 25,000.   Answer: 25,000
Answer: B
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 900 m?	Choose the correct choice from the following answers:
A) 122.9 m
B) 127.5 m.
C) 191.25 m
D) 222.9 m
E) 12289 m

Solution: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.   When B runs 900 m, distance that C runs = (900 * 700)/800   = 6300/8= 
6300/8 = 1_575/2 = around 787.5
787.5 m.   In a race of 1000 m, A beats C by   (1000 - 787.5)= 
  (1000 - 787.5) = 212.5
212.5 m to C.   In a race of 900 m, the number of meters by which A beats C= (900 * 212.5)/1000= 
(900 * 212.5)/1000 = 191.25
191.25 m.   Answer:191.25 m
Answer: C
The perimeter of a triangle is 20 cm and the inradius of the triangle is 3 cm. What is the area of the triangle?  Choose the correct choice from the following choices
A) 22
B) 30
C) 77
D) 54
E) 23

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 3 * 20/2= 
3 * 20/2 = 30
30 cm2   Answer:30
Answer: B
One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?	Choose the correct choice from the following answers:
A) 5:4
B) 5:6
C) 5:0
D) 5:4
E) 5:1

Solution: 45 * 5/18 = 10   25:20 => 5:4   5:4nswer: 5:4
Answer: A
If a rubber ball consistently bounces back ⅔ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped?	Choose one.
A) 16/81	B) 16/81	C) 4/9	D) 37/81	E) 9/12

Solution: Step by step solution   Each time the ball is dropped and it bounces back, it reaches ⅔ of the height it was dropped from.   After the first bounce, the ball will reach ⅔ of the height from which it was dropped - let us call it the original height.   After the second bounce, the ball will reach ⅔ of the height it would have reached after the first bounce.   So, at the end of the second bounce, the ball would have reached ⅔ * ⅔ of the original height = 4/9th of the original height.   After the third bounce, the ball will reach ⅔ of the height it would have reached after the second bounce.   So, at the end of the third bounce, the ball would have reached ⅔ * ⅔ * ⅔ = 8/27th of the original height.   After the fourth and last bounce, the ball will reach ⅔ of the height it would have reached after the third bounce.   So, at the end of the last bounce, the ball would have reached ⅔ * ⅔ * ⅔ * ⅔ of the original height = 16/81 of the original height.   The correct answer is Choice 16/81
Answer: A
If a company sells a car with a marked price of Rs. 5,40,000 and gives a discount of 5% on Rs. 3,00,000 and 3% on the remaining amount of Rs. 2,40,000, then the actual price charged by the company for the car is :  Select the correct option.
A) Rs.5,20,000 B) Rs.5,17,800 C) Rs.5,10,560 D) Rs.5,10,100 E) None of these

Solution: Explanation :   Solution: M.P. = Rs. 5,40,000.   Discount = Rs. [(5% of 3,00,000) + (3% of 2,40,000)] = 15,000 + 7,200 = Rs. 22,200   .'. Actual price = Rs. (5,40,000 - 22,200) = Rs. 5,17,800   Answer : Rs.5,17,800
Answer: B
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?  Select the correct option:
A) 20  B) 22  C) 24  D) 27  E) 30

Solution: Total # of codes possible is 3*3*3= 
3*3*3 = 27
27. Oit of those 27 codes   Answer: 27.
Answer: D
One scoop of fish food can feed 8 goldfish. How many goldfish can 4 scoops of fish
food feed? Options:
A) 12	B) 16	C) 8	D) 64	E) 32

Solution: Each scoop of fish food can feed 8 goldfish.   Therefore, 4 scoops of fish food can feed 4x8 = 32 goldfish.   correct answer 32
Answer: E
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 10 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Pick:  A) 10  B) 15  C) 20  D) 15/2  E) 24

Solution: After passing the hiker the cyclist travels for 5 minutes at a rate of 10 miles/hour.   In those 5 mins the cyclist travels a distance of 5/6 miles.   In those 5 mins the hiker travels a distance of 1/2 miles.   So the hiker still has to cover 1/2 miles to meet the waiting cyclist.   The hiker will need 15/2 mins to cover the remaining 1/2 miles.   So the answer is 15/2.
Answer: D
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Choose the most appropriate option
A) 77 years  B) 88 years  C) 12 years  D) 16 years  E) 17 years

Solution: 100 ---- 200 ---- 4   400 ---- 4   800 ---- 4   ------   12 years   Answer: 12 years
Answer: C
The average of first five prime numbers:	Choose the correct choice from the following choices.
A) 5.6 B) 11.2 C) 12.9 D) 6.3 E) 7.4

Solution: Explanation:   The first five prime numbers is 2, 3, 5, 7, 11   5.6verage = 28/5= 
28/5 = 28/5 = around 5.6
5.6   5.6nswer: Option 5.6
Answer: A
The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 1 unit of standard deviation below the mean? Choose the correct answer.
A) -35.6 degrees Celsius
B) -33.0 degrees Celsius
C) -30.4 degrees Celsius
D) -27.8 degrees Celsius
E) -25.2 degrees Celsius

Solution: Let us suppose mean = M and SD = d.   So, we are given M - 2d = -38.2   and M + 4d = -22.6   solving both the equations, we will get M = -33 an d = 2.6   So, we need to find out M - d = -33 - 2.6 = -35.6. Hence, -35.6 degrees Celsius
Answer: A