MU-NLPC/Calc-aqua_rat huggingface dataset:
In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons? Select:
A) 200
B) 230
C) 240
D) 250
E) 5040

Solution: 10p4 = 10 X 9 X 8 X 7 = 5040   5040
Answer: E
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choose the most appropriate option.
A) 27%	B) 20%	C) 80%	D) 30%	E) 24%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 24 more photos than Claire. How many photos has Claire taken? Answers
A) 6 B) 8 C) 10 D) 12 E) 14

Solution: L = R   L = 3C   R = C + 24   3C = C + 24   C = 12   The answer is 12.
Answer: D
If r = 2^4 * 5^2 * 7 and s = 2^2 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s? Options.
A) 2 * 5  B) 2^2 * 5  C) 2^3 * 5^2  D) 2*3*5*7  E) 2^3 * 3^2 * 5^2 * 7

Solution: GCD = product of prime factors raised to the least power = 2^2 * 5   The answer is 2^2 * 5.
Answer: B
Find the total number of four digit numbers that can be formed using the digits 1,2,5,6.  Choices
A) 253	B) 256	C) 258	D) 260	E) 265

Solution: no. will be formed by taking all at a time with repititon allowed   total=4*4*4*4= 
4*4*4*4 = 256
256   ANSWER:256
Answer: B
How many different ways can you select a pilot and a co pilot if you have 75 people to choose from? Select
A) 199
B) 200
C) 398
D) 4950
E) 5550

Solution: 1) PERMUTATION:-   since it is selection, we have to find permutation..   75P2= 75!/(75-2)!=5550   ANS:5550
Answer: E
A train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. Its length is:	Select the correct option.
A) 1200 m	B) 2000 m	C) 1500 m	D) 1000 m	E) 4000 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 25 => y = x/25   x + 200 / 30 = x / 25   x = 1000 m.   Answer: Option 1000 m
Answer: D
Eight cubes, each with a volume of 512 cm^3, are joined to form one large cube. What is the surface area of the large cube?	Choose the correct choice from the following options:
A) 4096 sq cm	B) 1536 sq cm	C) 1024 sq cm	D) 2048 sq cm	E) 512 sq cm

Solution: volume = a x a x a = a ^3   volume of cube = 8 x 512 = 4096 cm^3   4096 = a^3   a = 16   surface area of cube = 6 a^2 = 6 x 16^2 = 1536   Answer is 1536 sq cm
Answer: B
What amount does Kiran get if he invests Rs.9800 at 12% p.a. compound interest for three years, compounding done annually? Choose one
A) 13456  B) 13487  C) 18978  D) 13456  E) 12308

Solution: A= P{1 + R/100}n   => 9600{1 + 12/100}3   = Rs.13487   Answer: 13487
Answer: B
Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?  Choose the correct choice
A) $3.50
B) $4.00
C) $4.25
D) $4.50
E) $5.00

Solution: Let x be the value of the weekly allowance.   (2/3)(2/5)x = 120 cents   (4/15)x = 120   x = $4.50   The answer is $4.50.
Answer: D
Of the 30 employees of a certain company, 10 are accountants. 2 employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant?
Choose the correct choice from the following options: A) P(E)=0.43 B) 0.36 C) 0.31 D) 0.52 E) 0.63

Solution: We can Solve this by two ways:   either find the probability by = 1-(both accountant+atleast one accountant)   or direct from = P(both non accountant)   second is easier but requires calculation if don't do the approximation.   So probability= (20/30)*(19/29) = 0.43   so the answer is P(E)=0.43
Answer: A
One night 17 percent of the female officers on a police force were on duty. If 170 police officers were on duty that night and half of these were female officers, how many female officers were on the police force? Answers: A) 400 B) 420 C) 450 D) 480 E) 500

Solution: Let x be the number of female police officers on the police force.   The number of female police officers on duty was 85.   0.17x = 85   x = 500   The answer is 500.
Answer: E
A and B together can do a work in 3 days. If A alone can do it in 6 days. In how many days can B alone do it? Options
A) 10 B) 99 C) 77 D) 55 E) 6

Solution: 1/3 – 1/6 = 1/6   => 6   Answer: 6
Answer: E
w, q, and r are positive integers. If w, q, and r are assembled into the six-digit number wqrwqr, which one of the following must be a factor of wqrwqr?  Choose the correct choice from the following choices: A) 23 B) 19 C) 17 D) 7 E) none of the above

Solution: One short way -   wqrwqr = 1000wqr + wqr = (1000+1)= 
(1000+1) = 1_001
1001wqr   Therefore any factor of 1001 is a factor of wqrwqr   7 is a factor of 1001   So 7
Answer: D
Express a speed of 84 kmph in meters per second?  Choose the correct answer.
A) 13.33 mps B) 23.33 mps C) 33.33 mps D) 25.33 mps E) 43.33 mps

Solution: 84 * 5/18 = 23.33 mps   ANSWER:23.33 mps
Answer: B
A car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
Choose the correct choice from the following: A) 13 B) 14 C) 15 D) 16 E) 17

Solution: Let T be the total time of the trip.   30*5 + 42(T-5) = 38T   4T = 210-150   T = 15   The answer is 15.
Answer: C
In how many different ways could couples be picked from 8 men and 5 women? Choose the correct choice from the following:
A) 8  B) 5  C) 13  D) 40  E) 20

Solution: Number of mens = 8   Number of womens = 5   40ifferent ways could couples be picked = 8c1 * 5c1 = 8 * 5= 
8 * 5 = 40
40 ways   ANSWER:40
Answer: D
There are 10 copies each of 4 different books. In how many ways can they be arranged on a shelf? Answers
A) 40!	B) 40!/10!	C) 40!/4!	D) 40!/10	E) 40!/{10!^4}

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!}   Here we have a total of 40 books, among which 10 books of one type are identical, 10 books of another type are identical, 10 books of another type are identical, and the remaining 10 books are also identical.   Hence the number of arrangements shall be 40!/{10!10!10!10!}=40!/{10!^4}   Ans 40!/{10!^4}
Answer: E
What approximate value should come in place of question mark (?) in the following equation?
33 1⁄3% of 768.9 + 25% of 161.2 – 65.12 = ?  Select the correct option:
A) 230
B) 225
C) 235
D) 233
E) 240

Solution: ? = 33 1⁄3% of 768.9 + 25% of 161.2 – 65.12   = 1⁄3 of 768.9 + 1⁄4 of 161.2 – 65.12   = 256.3 + 40.3 – 65.12 ≈ 233   Answer 233
Answer: D
A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 63 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
Choose the correct choice from the following:
A) 14	B) 45	C) 54	D) 65	E) 81

Solution: Just check the answers and reverse the numbers until you get 63.   81 - 18= 
81 - 18 = 63
63   Answer 81
Answer: E
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is: Pick one
A) 587 × 10^8 miles B) 587 × 10^10 miles C) 587 × 10^-10 miles D) 587× 10^12 ml E) 587 × 10^-12 miles

Solution: Solution:   The distance of the light travels in 100 years is:   5,870,000,000,000 × 100 miles.   = 587,000,000,000,000 miles.   = 587 × 10^12 miles.   Answer: (587× 10^12 ml)
Answer: D
16 machines can do a work in 10days. How many machines are needed to complete the work in 40days? Choose the correct choice from the following
A) 10	B) 6	C) 4	D) 7	E) 5

Solution: Required number of machines = 16*10/40= 
16*10/40 = 4
4   Answer is 4
Answer: C
Rs.385 were divided among X,Y,Z in such a way that X had Rs.20 more than Y and Z had Rs 15 more than X . How much was Y’s share?	Answers
A) Rs.110  B) Rs.145  C) Rs.150  D) Rs.176  E) Rs.181

Solution: Let Y gets Rs x. Then We can say X gets Rs (x + 20 ) and Y gets Rs ( x + 35) .   x + 20 + x + x + 35 = 385   3x = 330   x = 110 .   R’s share = Rs ( 110 + 35 ) = Rs.145   Rs.145
Answer: B
John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?
Choose one.
A) 6 B) 9 C) 36 D) 120 E) 720

Solution: First place the maths book -   since all are different books, they can be arranged in 3! ways - 6 ways...   next we have 4 places for physics book, but leftmost is not a valid place as left is always maths..   _M_M_M_, but valid ways are M_M_M_   so 3 places for 3 books - again 3! ways...   Total = 3!∗3!=36   ANSWER:36
Answer: C
Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction W of the area of triangle ABC is the area of triangle XYZ? Choices
A) 1/9  B) 1/8  C) 1/6  D) 1/5  E) 1/3

Solution: If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore   1/9rea of 1/9BC is 1/2*12*12 (Height of 1/9BC is the y coordinate of the third point (8,12))   similarly 1/9rea of XYZ is 1/2*4*4   dividing area of XYZ with that of 1/9BC gives W=1/9.1/9
Answer: A
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price E per glass on the second day?
Options
A) $015 B) $0.20 C) $0.30 D) $0.40 E) $0.45

Solution: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;   On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;   So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.   We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.   Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.   Answer: $0.40.
Answer: D
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is? Pick one
A) 29 B) 19 C) 17 D) 80 E) 14

Solution: 1/2 * d (10 + 6) = 640   d = 80   Answer:80
Answer: D
4 dice are thrown simultaneously on the board. Find the probability show the same face?	Choose the correct choice:
A) 1/211	B) 2/213	C) 1/216	D) 2/113	E) 2/115

Solution: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let XX be the event that all dice show the same face.   X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}   n(X)=6n(X)=6   Hence required probability,   =n(X)n(S)=664=n(X)n(S)=664   =1/216   1/216
Answer: C
Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
Choose the correct choice from the following options:
A) 2 < A = 5	B) 2 < A = 8	C) 2 < A = 6	D) 2 < A = 1	E) 2 < A = 2

Solution: Explanation:   A ( A – 2) = 5 A – 10   A( A – 2) = 5 ( A – 2)   A = 5 if A – 2 > 0   A = 5, A > 2   i.e. 2 < 2 < A = 5 = 5   2 < A = 5NSWER: 2 < A = 5
Answer: A
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.60 at the candy store. What is John’s weekly allowance?	Choose the correct choice.
A) $2.25  B) $3.00  C) $3.25  D) $3.65  E) $4.80

Solution: x = 3x/5 + 1/3*2x/5 + 60   4x/15 = 60   x = 225 = $2.25   The answer is $2.25.
Answer: A
Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?	Answers
A) 52
B) 58
C) 63
D) 75
E) 76

Solution: Explanation:   We have , A = B + 20 & C = A + 55 = B + 75   Thus, (B + 20) + (B) + (B + 75) = 230   B = 45   Thus, A = 65 & C = 120. Hence, (C) – (B) = 120 – 45 = 75   Short-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20= 
55 + 20 = 75
75 (without calculating the actual values of A, B and C).   ANSWER 75
Answer: D
The altitude of an equilateral triangle of side 2âˆš3 cm is?	Choose the most appropriate option.
A) 3/2 cm B) 1/2 cm C) 3/4 cm D) 3 cm E) 5 cm

Solution: Explanation:   âˆš3/2*2âˆš3=3cm   ANSWER IS 3 cm
Answer: D
The ratio of number of boys and girls in a school is 2:5. If there are 350 students in the school, find the number of girls in the school?  Choose the correct answer: A) 150 B) 250 C) 300 D) 370 E) 280

Solution: Let the number of boys and girls be 2x and 5x   Total students = 350   Number of girls in the school = 5*350/7= 
5*350/7 = 250
250   Answer is 250
Answer: B
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Options:
A) 36  B) 77  C) 89  D) 16  E) 22

Solution: (3x-9):(5x-9) = 9:17   x = 12 => 3x = 36   36nswer: 36
Answer: A
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Pick: A) 111.12 B) 111.18 C) 111.11 D) 111.98 E) 111.15

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.111.12nswer: 111.12
Answer: A
The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?  Choose the most appropriate option.
A) 12	B) 76	C) 21	D) 26	E) 39

Solution: Explanation:   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: E
A person's salary is getting reduced by 20%. What percentage should be added to get back his
original salary? Choices.
A) 25%  B) 50%  C) 75%  D) 85%  E) 95%

Solution: Salary he get after reduced 20% = 100-20= 
100-20 = 80
80%   So,percentage should be added to get back his salary= (20/80)*100= 
(20/80)*100 = 25
25%   25%NSWER:25%
Answer: A
Calculate the circumference of a circular field whose radius is 10 centimeters.	Choose the correct choice from the following:
A) 2
B) 4
C) 6
D) 8
E) 20

Solution: Circumference C is given by   C = 2Ï€r = 2Ï€*10 = 20 Ï€ cm   correct answer 202  *10= 
2  *10 = 20
20 Ï€ cm   correct answer 20
Answer: E
If 10 men do a work in 80 days, in how many days will 20 men do it?	Choose the most appropriate option:
A) 18 days  B) 38 days  C) 40 days  D) 48 days  E) 50 days

Solution: 10 * 80 = 20 * x   x = 40 days   ANSWER:40 days
Answer: C
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Choose the correct choice from the following options.
A) 74	B) 94	C) 184	D) 364	E) 375

Solution: L.C.M. of 6, 9, 15 and 18 is 90.   Let required number be 90k + 4, which is multiple of 7.   Least value of k for which (90k + 4) is divisible by 7 is k = 4.   Required number = (90 x 4) + 4 = 364. Answer: Option 364
Answer: D
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in 12 hours?  Pick:
A) 27.273 seconds B) 29.273 seconds C) 37.273 seconds D) 47.273 seconds E) 17.273 seconds

Solution: 27.273 secondsfter 60 minute rotation the minute hand will make an angle of 30 degree with hour hand.27.273 secondsfter that let the time required to make an overtake is t minute   in this time angle covered by minute hand = (360/60)= 
(360/60) = 6
6t   similarly angle covered by hour hand= (30/60)t = t/2   so for overtake 6t = 30 + t/2 or t = 60/11 min = 5 min and 5/11 min = 5 min and 300/11 sec = 5 min and 27.273 sec so clock loses 27.273 seconds   27.273 secondsNSWER:27.273 seconds
Answer: A
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?	Pick one:  A) 65 seconds  B) 86 seconds  C) 40 seconds  D) 43 seconds  E) 15 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer: 40 seconds
Answer: C
Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together.  Choices:
A) 30 days  B) 45 days  C) 60 days  D) 90 days  E) None of these

Solution: EXPLANATION:   Hint:   Assume that Pooja completes the job in 'x' days.   So, Aarti will take '2x' days to complete the same job.   As Pooja takes 90 days less than Aarti, we get   x = 2x – 90   By solving this equation, we get x = 90 .   Thus, 2x = 2 x 90 = 180   Part of job done by Pooja in 1 day = 1/ 90   Part of job done by Aarti in 1 day = 1/180   (Part of job done together in 1 day) = (Part of job done by Pooja in 1 day) + (Part of job done by Aarti in 1 day)   = (1/90) + (1/180)   = 3/180   =1/60   (1/60)th part of whole job will be completed by Pooja and Aarti together in one day.   Therefore, the whole job will be completed in 60 days together.   ANSWER IS 60 days
Answer: C
Haris can wash all the windows of his house in 10 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?	Choose one:	A) 2	B) 3 1/3	C) 4 1/4	D) 5	E) 6

Solution: Work hrs=A3 1/3/(A+3 1/3)= 50/15 =3 1/3   Answer is 3 1/3
Answer: B
What is the smallest positive integer x, such that √392x is an integer?  Answers.
A) 2 B) 4 C) 7 D) 8 E) 14

Solution: For a perfect square, the powers of prime factors should be even. 392 can be broken up as 2^3 * 7^2. You just need 2 to be multiplied to this number so that the number finally becomes 2^4 * 7^2 which is a perfect square.   Therefore x = 2.   2nswer: 2
Answer: A
If the cost price of 110 chairs is equal to the selling price of 88 chairs, the gain percent is Choose the most appropriate option
A) 25 B) 30 C) 35 D) 40 E) 45

Solution: Let C.P. of each pen be Re. 1.   Then, C.P. of 88 chairs = Rs. 88; S.P. of 88 chairs = Rs. 110.   Gain % = 22/88 * 100= 
22/88 * 100 = 25
25%   25nswer:25
Answer: A
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?  Pick one:
A) 1/7 B) 1/2 C) 1/9 D) 1/1 E) 1/3

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then   = 18/36 = 1/2   P(E) = 1 - 1/2   = 1/2.   Answer: 1/2
Answer: B
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 24% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
Choose the correct option: A) 25% B) 40% C) 50% D) 55% E) 75%

Solution: Let x be the number of non-smoking rooms.   Let N be the total number of rooms at the inn.   40% of non-smoking rooms have a king-sized bed.   0.4x = 0.24N   x = 0.6N   The percentage of rooms which permit smoking is 1 - 0.6 = 40%   The answer is 40%.
Answer: B
Sum of the squares of three numbers is 225 and the sum of their products taken two at a time is 200. Find the sum?
Choose the correct choice from the following
A) 20	B) 22	C) 25	D) 26	E) 29

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 225 + 2* 200   a + b + c = √625 = 25   25
Answer: C
If 2/z = 2/(z + 1) + 2/(z + 16) which of these integers could be the value of z? Select the correct option.
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Solving for z algebraically in this problem would not be easy. Instead, we can follow the hint in the question (“which of these integers…”) and test each answer choice:   A. 2/0 = 2/1 +2/16 INCORRECT (Division by zero)   A. 2/1 = 2/2 +2/17 INCORRECT   A. 2/2 = 2/3 +2/18 INCORRECT   A. 2/3 = 2/4 +2/19 INCORRECT   A. 2/4 = 2/5 +2/20 CORRECT   The correct answer is E, because it contains the only value that makes the equation work. Notice how quickly this strategy worked in this case
Answer: E
What is the sum of all the numbers between 300 and 1000 which are divisible by 179? Choose the correct choice from the following answers
A) 2506 B) 2578 C) 2589 D) 2530 E) 2599

Solution: 358/179 â€¦.. 895/179   179(2 + 3 + 4 + 5) => 2506   2506NSWER 2506
Answer: A
If Ram and Gohul can do a job in 10 days and 15 days independently. How many days would they take to complete the same job working simultaneously? Options
A) 5	B) 8	C) 4	D) 7	E) 6

Solution: If Total Work is X.   Ram rate of working=X/10 per day.   Gohul rate of working=X/15 per day.   Rate of work=(x/10)+(x/15)=30X/5X   =6 days   Answer is option 630 /5= 
30 /5 = 6
6 days   Answer is option 6
Answer: E
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?  Choose the correct choice from the following options:
A) 33  B) 64  C) 38  D) 37  E) 29

Solution: Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4)= 
(58 * 4) = 232
232 degrees ... (1)   Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4)= 240 degrees ....(2)   Subtracting (1) From (2), we get :   Temp, on 5th day - Temp on 1st day = 8 degrees.   Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.   Then, 8x - 7x = 8 or x = 8.   Temperature on the 5th day = 8x = 64 degrees.   Answer: 64
Answer: B
Find the odd man out. 241, 263, 248, 271, 255, 277, 262
Choose one:	A) 277	B) 271	C) 263	D) 241	E) None of these

Solution: Explanation :   Alternatively 22 is added and 15 is subtracted from the terms. Hence, 271 is wrong   241   241 + 22= 
241 + 22 = 263
263   263 - 15= 
263 - 15 = 248
248   248 + 22= 
248 + 22 = 270
270   270 - 15= 
270 - 15 = 255
255   255 + 22= 
255 + 22 = 277
277   277 - 15= 
277 - 15 = 262
262. Answer : Option 271
Answer: B
A rectangular grassy plot 100 m. by 70 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 90 paise per sq. metre.  Choose the correct choice from the following answers
A) Rs.700 B) Rs.708.50 C) Rs.732.50 D) Rs.742.50 E) None of these

Solution: Explanation:   Area of the plot = (100 x 70) m2 = 7000 m2   Area of the plot excluding the path = [(100 - 5) * (70 - 5)] m2 = 6175 m2.   Area of the path = (7000 - 6175) m2 = 825 m2.   Cost of gravelling the path = Rs.825 * (90/100)= Rs.742.50   Answer: Option Rs.742.50
Answer: D