MU-NLPC/Calc-aqua_rat huggingface dataset:
Juan is a gold medalist in athletics. In the month of May, if Juan takes 12 seconds to run y yards, how many seconds will it take him to run x yards at the same rate? Choose the correct option
A) 10x/y B) 11x/y C) 9x/y D) 12x/y E) 13x/y

Solution: velocity=distance/time;   since he ran at same rate both d tyms,   y/12=x/t   so t=12x/y   ANSWER:12x/y
Answer: D
x^2 + dx + 72 = 0 has two distinct integer roots; how many values are possible for d?
Pick: A) 3 B) 6 C) 8 D) 12 E) 24

Solution: For a quadratic equation ax^2+dx+c=0, we know that -d/a is sum of roots and c/a is product of roots.   The quadratic equation here is x^2 + dx + 72 = 0, where product of roots is 72.   If we find all the factors of 72, we have the answer.   By prime factorization, we get 72= 2^3*3^2.   We know that total factors are  (3+1)*(2+1)= 
 (3+1)*(2+1) = 12
12 (Reason: with 2^n, we have n+1 possibilities. n^0 to n^n. so n+1)=12
Answer: D
1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum Q of the 24 integers ?	Choose the correct choice from the following answers
A) 26,996
B) 44,406
C) 60,444
D) 66,660
E) 99,990

Solution: This is the way i solved it :   Total no. of different combos = 24, total digits 4 therefore each digit must repeat  24/4= 
 24/4 = 6
6 times in each row .. So the right most row would add up to 1x6 + 2x6 + 5x6 + 7x6= 6+12+30+42= 
6+12+30+42 = 90
90 .. Each row would add up to 90, so 90 in the first means we have 9 that carries over and we get 0 , the second time its 90+9 and 9 stays and one 9 goes to the row to the left, so the last two digits of the SUM Q should be 90 (E) .. We could go on and solve the exact number but since only one answer choice has the last digits as 90 we needn't go any further..
Answer: E
An gun can take a maximum of four shotsat an enemyplane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired?  Choose the correct choice from the following options
A) 0.6976 B) 0.7893 C) 0.8212 D) 0.7541 E) 0.9847

Solution: Required probability:   =(0.4×0.7×0.8×0.9)+(0.6×0.3×0.8×0.9)+(0.6×0.7×0.2×0.9)+(0.6×0.7×0.8×0.1)+(0.4×0.3×0.8×0.9)+(0.4×0.7×0.2×0.9)+(0.4×0.7×0.8×0.1)+(0.6×0.3×0.2×0.9)+(0.6×0.3×0.8×0.1)+(0.6×0.7×0.2×0.1)+(0.4×0.3×0.2×0.9)+(0.6×0.3×0.2×0.1)+(0.4×0.3×0.8×0.1)+(0.4×0.7×0.2×0.1)+(0.4×0.3×0.2×0.1)=(0.4×0.7×0.8×0.9)+(0.6×0.3×0.8×0.9)+(0.6×0.7×0.2×0.9)+(0.6×0.7×0.8×0.1)+(0.4×0.3×0.8×0.9)+(0.4×0.7×0.2×0.9)+(0.4×0.7×0.8×0.1)+(0.6×0.3×0.2×0.9)+(0.6×0.3×0.8×0.1)+(0.6×0.7×0.2×0.1)+(0.4×0.3×0.2×0.9)+(0.6×0.3×0.2×0.1)+(0.4×0.3×0.8×0.1)+(0.4×0.7×0.2×0.1)+(0.4×0.3×0.2×0.1)   =0.2016+0.1296+0.756+0.336+0.864+0.504+0.224+0.324+0.144+0.0084+0.0216+0.0036+0.0096+0.0056+0.002=0.2016+0.1296+0.756+0.336+0.864+0.504+0.224+0.324+0.144+0.0084+0.0216+0.0036+0.0096+0.0056+0.002   =0.6976=0.6976   Edit: Thank you Vaibhav for providing an alternative method.   0.6976lternate Method:   probability that the plane is hit when all the four shots are fired,   P=1−probability of not hitting the targetP=1−probability of not hitting the target   =1−(0.6×0.7×0.8×0.9)=1−(0.6×0.7×0.8×0.9)   =1−0.3024=1−0.3024   =0.6976   0.6976
Answer: A
If j and k are two positive integers and j/k = 1.05, then j can equal which one of the following? Options.
A) 15 B) 21 C) 20 D) 22 E) 23

Solution: j/k = 1.05 = 105/100 = 21/20   So, j COULD equal 21   Answer: 21
Answer: B
It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 2 cms, How much did it rain on Wednesday?	Choose the correct answer:	A) 10.9	B) 7	C) 10.2	D) 10.1	E) 10.6

Solution: Explanation:   Let the rainfall on wednesday = 6x.   âˆ´ Rainfall on the remaining days = 6x   Given,   (6x + 6x )/7 = 2   â‡’12x = 14   â‡’6x = 7   Answer: 7
Answer: B
A rectangular grass field is 95 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Select the correct option: A) 1350 B) 1550 C) 9676 D) 1679 E) 2691

Solution: Area = (l + b +2d) 2d   = (95 + 55 +2.5 * 2) 2*2.5 => 775   775 * 2 = Rs.1550   Answer:1550
Answer: B
Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 360 pastries ?  Choose the correct choice:
A) 6 hours.
B) 1 hours.
C) 5 hours.
D) 4 hours.
E) 3 hours.

Solution: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 360 pastries would take 360 ÷ 60 = 6 hours.   6 hours.NSWER 6 hours.
Answer: A
In a simultaneous throw of pair of dice .find the probability of getting the total more than 7  Select.
A) 3/7 B) 12/5 C) 5/12 D) 5/7 E) 2/5

Solution: Here n(S)=(6*6)= 
(6*6) = 36
36   let E=event of getting a total more than 7   ={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}   P(E)=n(E)/n(S)=15/36=5/12.   Ans: 5/12
Answer: C
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $52.00. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?	Choose the correct answer:
A) $20,380.75	B) $30,943.25	C) $41,308.50	D) $51,817.50	E) $53,624.25

Solution: its $20,380.75   since options are not so close we can solve this by uniting calculation and guessing   total sales will be bit lower than 52000   from that initial outlay will get deducted 11500 so we left with 31500   variable cost say 20 X 1000 = 20000 will be deducted so finally we left with 20500   since we have considered the price greater than it actually is, the correct answer will certainly not cross the threshold of 20500.
Answer: A
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 employees consist of 3 women and one man? Choose the correct choice from the following answers.
A) 22	B) 35	C) 56	D) 70	E) 105

Solution: Possible groups = Possible groups of 3 women * possible groups of 1 men   Since order does not matter, its a combination problem.   =[5!/(3!2!)} * [7!/(6!1!)]   =70   ANSWER:70
Answer: D
The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive?  Choose the correct choice from the following answers.
A) 350
B) 475
C) 300
D) 425
E) 400

Solution: For an AP the mean or average of series is average of first and last term.   So, average of numbers between 150 to 950, inclusive = (150+950)/2= 
(150+950)/2 = 550
550   average of numbers between 100 to 200, inclusive= (100+200)/2= 
(100+200)/2 = 150
150   difference= 550 - 150= 
550 - 150 = 400
400   Answer is 400
Answer: E
In a throw of dice what is the probability of getting number greater than 5  Choose one.
A) 1/2
B) 1/3
C) 1/5
D) 1/6
E) None of these

Solution: Explanation:   Number greater than 5 is 6, so only 1 number   Total cases of dice = [1,2,3,4,5,6]   So probability = 1/6   Option 1/6
Answer: D
Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the ratio 3:4. If AB=2, then the length of PQ is:
Choose the correct choice from the following answers
A) 70  B) 75  C) 80  D) 85  E) 90

Solution: Explanation :   Let, PA=2x and AB=3x and PB=3y and BQ=4y   PB:BQ=3:4   PA:QA=2:3   PQ=5x=7y   x=7/5 -------------------(i)   From equation (i) and (ii), we have   =>AB=PQ−PA−BQ.   =>7y−4y−2x,   =>3y−2x=2. (AB = 2 ) --------------------(ii)   =>y=10 and Hence, PQ = 70.   70nswer : 70
Answer: A
Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna, Lena or Jake can drive, how many seat allocations are possible?
Choose the correct choice from the following answers.
A) 30 B) 42 C) 120 D) 360 E) 1080

Solution: 5 people ,7 seats, only 3 can drive   if inna is in one seat remaining, 4 people can be arranged in 4p4 i.e 4! =24 ways   since any one can drive total ways = 24 *3= 
24 *3 = 72
72 ways   4 seats can be chosen out of remaining 6 seats in 6c4 ways= 6!/(4!*2!)= 15 ways     72*15= 
  72*15 = 1_080
1080   1080
Answer: E
In a six-sided polygon EQRSTV ∠E measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠E equal to, in degrees?  Pick
A) 72  B) 80  C) 88  D) 96  E) 104

Solution: The sum of interior angle in a polygon is (n-2)*180   so for a six sided figure, (6-2)*180 = 720   let the A.M of the other 5 angles be 'm'   --> m*5 + ∠E = 720, we know ∠E=m-48   --> m*5 + m - 48 = 720, solving we get m=128   hence ∠E= 128-48= 
128-48 = 80
80   Ans 80.
Answer: B
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. Choices:
A) 48.0  B) 48.55  C) 49.05  D) 49.0  E) 45.0

Solution: Average weight of 16 boys = 50.25   Total weight of 16 boys = 50.25 × 16   Average weight of remaining 8 boys = 45.15   Total weight of remaining 8 boys = 45.15 × 8   Total weight of all boys in the class = (50.25 × 16)+ (45.15 × 8)   Total boys = 16 + 8= 
16 + 8 = 24
24   Average weight of all the boys= ((50.25×16)+(45.15×8))/24   =(50.25×2)+(45.15×1)/3   =(16.75×2)+15.05   =33.5+15.05= 
33.5+15.05 = 48.55
48.55   Answer is 48.55.
Answer: B
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Choose the correct choice from the following choices:  A) 4.5  B) 5  C) 5.5  D) 5.8  E) 6

Solution: if $x$ is the number, x/6 * 12 = 9   => 2x = 9   => x = 4.5   4.5
Answer: A
At a certain organisation, the number of male members went up by 12% in the year 2001 from year 2000, and the number of females members went down by 4% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?	Choose the correct choice from the following choices.
A) 1:2
B) 1:3
C) 2:3
D) 3:2
E) 2:1

Solution: men increase by 12% ==> 1.12M = males in 2001   women decrease by 4% ==> 0.96F = women in 2001   total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001   Obviously   (males in 2001) + (females in 2001) = total number of employees in 2001   1.12M + 0.96F = 1.012*(M + F)   1.12M + 0.96F = 1.012M + 1.012F   1.12M - 1.012M = 1.012F - 0.96F   0.108M = 0.052F   M/F = (0.052)/(0.108) = 52/108 = 1/2   1:2nswer =(1:2)
Answer: A
Joe is painting a rectangular room whose dimensions are given by a, b and c meters. Joe takes 8 hours to paint a wall with dimensions a and c. He takes 4 hours to paint a wall with dimensions b and c and 12 hours to paint the ceiling with dimensions a and b. If Joe works at a constant rate and a = 7, then what is the volume of the room?
Choose the correct choice from the following choices:	A) 18 cubic meters	B) 24 cubic meters	C) 30 cubic meters	D) 36 cubic meters	E) 57.1 cubic meters

Solution: Time to paint each wall as given in problem:   AC = 8 hours   BC = 4 hours   AB = 12 hours   Since he works at constant rate and it takes him twice as long to paint AC compared to BC   AC=2BC   Plug in 6 for A and you find that B=3.5   Since painting AB takes 3 times as long compared to BC,   AB=3BC   Plug in 6 for A and 3 for B and you find that C=2.33   A*B*C=7*3.5*2.3=57.1 cubic meters   Answer: 57.1 cubic meters
Answer: E
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.20 per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?  Choose the correct choice from the following answers:
A) $94.03 B) $96.75 C) $98.68 D) $102.07 E) $105.3

Solution: there can be 2 cases   1)25+25+10+5=$98.68 or   2)25+25+25=$96.60   $98.68
Answer: C
The length of a rectangle is reduced by 22%. By what % would the width have to be increased to maintain the original area?
Pick one:
A) 14%	B) 15%	C) 28%	D) 30%	E) 35%

Solution: Sol. Required change = (22*100)/(100-22)=28.2%   28%
Answer: C
A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 70 meters, what is the height of the building (in meters)?
Select
A) 20
B) 24
C) 28
D) 32
E) 36

Solution: The height:length ratio will be equal in both cases.   18 / 45 = x / 70   x = 28   The answer is 28.
Answer: C
A 160 meter long train crosses a man standing on the platform in 4 sec. What is the speed of the train?	Select the correct option:
A) 176 kmph  B) 144 kmph  C) 176 kmph  D) 134 kmph  E) 161 kmph

Solution: S = 160/4 * 18/5= 
160/4 * 18/5 = 144
144 kmph   Answer: 144 kmph
Answer: B
The price of the jewel, passing through three hands, rises on the whole by 68%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.  Choose the correct choice from the following
A) 20  B) 12  C) 15  D) 25  E) 30

Solution: Let the original price of the jewel be $ p and let the profit earned by the third seller be x% Then, (100+x)% of 125% of 120% of P =168% Of P ((100+X)/100*125/100*120/100*P)=(168/100*P)   ==> (100+X)=(168*100*100)/(125*120)= 
(168*100*100)/(125*120) = 112
112=>X=12%   Answer 12)
Answer: B
Kamal bought a house, whose sale price was Rs. 8 lakh. He availed 20% discount as an early bird offer and then 10% discount due to cash payment. After that he spent 10% of the cost price in interior decoration and lawn of the house. At what price should he sell the house to earn a profit of 25%?  Choose the correct choice: A) Rs. 9 lakh B) Rs. 7.99 lakh C) Rs. 7.92 lakh D) Rs. 7 lakh E) None of These

Solution: Solution: Let the marked price be 100.   100 == 20% ↓(discount)==> 80 == 10% ↓(discount)==> 72(CP) == 10% ↑(interior)==> 79.2(Total CP)   Now, selling price would be 25% above the Total cost price.   SP = 79.2 + 25% of 79.2   SP = 99   Now, On comparing,   100 ==> 800000   99 ==> (800000/100) *99 ==> 7, 92,000   So,   SP = Rs. 7, 92, 000.   Answer: Option Rs. 7.92 lakh
Answer: C
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Choose the correct choice from the following choices:  A) 2/3  B) 3/4  C) 7/19  D) 8/21  E) None

Solution: Solution   Total number of balls	= (8 + 7 + 6)= 
(8 + 7 + 6) = 21
21.   Let E= event that the ball drawn is neither red nor green   =event that the ball drawn is red.   Therefore, n(E) = 8.   P(E) = 8/21.   Answer 8/21
Answer: D
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride? Choose the most appropriate option
A) 6.43%  B) 6.89%  C) 7.69%  D) 8.21%  E) 8.75%

Solution: The amount of sodium chloride is 0.05*10,000 = 500 gallons   500/6500 = 1/13 which is about 7.69%   The answer is 7.69%.
Answer: C
If x and y are two different prime numbers, which of the following cannot be true?	Choose one
A) xy is odd.  B) x + y is even.  C) x + y is odd  D) xy is even  E) x/y is an integer

Solution: A prime number is a positive integer with exactly two distinct positive divisors: 1 and itself. So, a prime number cannot be a multiple of another prime number. Which makes option E not possible (x/y=integer means that x is a multiple of y).   All other options are possible:   A. xy is odd --> x=3 and y=5;   B. x + y is even --> x=3 and y=5;   C. x + y is odd --> x=2 and y=3;   D. xy is even --> x=2 and y=3; Answer: x/y is an integer
Answer: E
What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.The rate of interest is 5% p.a.
II. The sum amounts to Rs. 750 in 5 years at S.I.The rate of interest is 7% p.a.
III. The sum amounts to Rs. 580 in 3 years at S.I. The rate of interest is 6% p.a.  Choose the correct choice from the following choices:
A) I and III only
B) II and III only
C) I and II only
D) Any two of the three
E) Any one of the above

Solution: Any one of the abovexplanation:   Clearly, any of the three will give us the answer   Answer: Any one of the above
Answer: E
What was the day on 15th august 1947 ?	Pick one:
A) Friday
B) Monday
C) Wednesday
D) Thursday
E) Sunday

Solution: 15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)   Odd days in 1600 years = 0   Odd days in 300 years = 1   46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day   Jan. Feb. Mar. Apr. May. Jun. Jul. Aug    (31 + 28 + 31 + 30 + 31 + 30 + 31 + 1 )= 
 (31 + 28 + 31 + 30 + 31 + 30 + 31 + 1 ) = 213
213 days= (30 weeks + 3 days) = 3 odd days.   Total number of odd days = (0 + 1 + 1 + 3)= 
(0 + 1 + 1 + 3) = 5
5 odd days.   Given day is Friday.   Fridaynswer is Friday.
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 0vers to reach the target of 282 runs?	Choose the correct choice.
A) 6.25
B) 6.5
C) 6.75
D) 7
E) None

Solution: Sol.   Required run rate = 282 – (3.2 × 10 / 40)   = 240 / 40   = 6.25.   6.25nswer 6.25
Answer: A
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on?  Select the correct option:  A) 3.  B) 4.  C) 2.  D) 6.  E) 7.

Solution: 5N +2 = 6 + 6(N-1)   Solving N= 2   Hence 2.
Answer: C
The distance light travels in one year is approximately 5,880,000,000,000 miles. The distance light travels in 100 years is	Choose the correct answer
A) A) 587 × 108 miles	B) B) 587 × 1010 miles	C) C) 587 × 10-10 miles	D) D) 588 × 1012 miles	E) E) 587 × 10-12 miles

Solution: The distance of the light travels in 100 years is:   5,880,000,000,000 × 100 miles.   = 588,000,000,000,000 miles.   = 588 × 1012 miles.   The answer is (588 × 1012 miles)
Answer: D
what is the angle between the hands of a clock when time is 16:40? Options:
A) 625deg  B) 420deg  C) 145deg  D) 150deg  E) 300deg

Solution: Angle between two hands =   40h - 11/2 m = 40*16 - 40*11/2 = 640 - 220= 
640 - 220 = 420
420deg   ANSWER:420deg
Answer: B
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?	Choices
A) 175  B) 185  C) 165  D) 155  E) 125

Solution: Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.40 + x x 3.20 = 432   3.20x = 432 - 384= 
432 - 384 = 48
48   x= 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175.   175nswer is 175.
Answer: A
During the months May through October, Teddy the bear triples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976? Choose the correct choice from the following answers:
A) 9m−1300	B) 9m−300	C) 4m−1200	D) 3m−300	E) m−1300

Solution: Nov ' 73 = m   9m−1300pril ' 74 = m - 100   Oct ' 74 = 3m - 300   9m−1300pril' 75 = 3m - 400   Oct' 75 = 9m - 1200   9m−1300pril'76 = 9m - 1300   Hence answer will be (9m−1300) 9m - 1300
Answer: A
Stephanie wants to buy lipsticks. Each lipstick costs $20. How much will she pay if she decides to buy 5 lipsticks?
Choices
A) $500
B) $100
C) $20
D) $10
E) 0

Solution: B. $100
Answer: B
The distance between A&B is 600km. A person is traveling from A to B at 80km/hr started at 11AM and another person is traveling from B to A at 70km/hr and started at same time. Then at what time they meet together.?
Choose one.
A) A)2PM  B) B)4PM  C) C)1PM  D) D)3PM  E) E)5PM

Solution: Let x hours be they will meet together   distance covered by 1st person+distance covered by 2nd person = 600km   70x+80x = 600   x= 4 hr   They will meet = 11AM +4hr = 3PM   Answer is 3PM
Answer: D
There are two concentric circles with radii 6 and 4. If the radius of the outer circle is increased by 50% and the radius of the inner circle decreased by 25%, by what percent does the area between the circles increase?  Choose the correct choice:	A) 160	B) 210	C) 260	D) 310	E) 360

Solution: The area of a circle is piR^2, where R is the radius.   The area of the big circle is 36pi.   The area of the small circle is 16pi.   The area A1 between the circles is 20pi.   When the big circle's radius increases, the new area is 81pi.   When the small circle's radius decreases, the new area is 9pi.   The area A2 between the circles is 72pi.   The ratio of A2/A1 is  72/20= 
 72/20 = 18/5 = around 3.6
3.6 which is an increase of 260%.   The answer is 260.
Answer: C
During the first two weeks of January, the total rainfall in Springdale was 40 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?	Options
A) 5 inches
B) 6 inches
C) 9 inches
D) 10 inches
E) 24inches

Solution: Total rainfall in 2 weeks = 40 inches.   Assume the rainfall in second week = 1.x   Rainfall in first week = x   Total rainfall = 2.5x = 40 inches   x = 16 and 1.5x = 24   Rainfall during second week = 24 inches   Option 24inches
Answer: E
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?  Select the correct option:
A) 25/42  B) 25/421  C) 35/42  D) 25/82  E) 23/42

Solution: Total fruits = 9   Since there must be at least two apples,   (5C2 * 4C1)/9C3 + 5C3/9C3   = 25/42.   25/42nswer: 25/42
Answer: A
Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination? Choose the correct answer.
A) 90	B) 250	C) 75	D) 85	E) None of these

Solution: Explanation :   Let x is the maximum marks of the examination   Marks that Arun got = 30 % of x = 30x/100   Given that Arun failed by 10 marks   ⇒Minimum Pass Mark = (30x/100) + 10......(Equation 1)   Answer : Option 85
Answer: D
Two pipes A and B can fill a tank in 18 hours and 24 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Choose the correct choice from the following choices.
A) 20 hours
B) 15 hours
C) 10 hours
D) 10 2/7 hours
E) 8 hours

Solution: Part filled by A in 1 hour = 1/18   Part filled by B in 1 hour = 1/24   Part filled by (A+B) in 1 hour = 1/18 + 1/24 = 7/72   Both the pipes together fill the tank in 72/7 = 10 2/7 hours   Answer is 10 2/7 hours
Answer: D
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers? Choose the correct choice from the following answers.
A) 3 B) 5 C) 9 D) 8 E) 2

Solution: A + 5 + C = 48   5 + C + D = 45   A + D = 13   A – D = 3   A + D = 13   2D = 10   D = 5   Answer:5
Answer: B
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3? Choose the correct choice from the following answers.
A) 3/11  B) 3/7  C) 3/10  D) 2/5  E) 2/7

Solution: Here, S = [1, 2, 3, 4, …., 19, 20]   Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]   P (E) = n (E) / n (S) = 6 / 20 = 3/10   3/10
Answer: C