MU-NLPC/Calc-aqua_rat huggingface dataset:
Given that 2.25 x 10(power 3), Which of the following options is equal to it?  Pick:
A) 2150
B) 2290
C) 1250
D) 2210
E) 2250

Solution: = 2.25 x 10(power 3)   = 2.25 x 1000   = 2250.   Answer is 2250.
Answer: E
Two water pumps, working simultaneously at their respective constant rates, took exactly six hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate? Choose the correct choice from the following answers.
A) 9
B) 12
C) 15
D) 18
E) 21

Solution: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.   Both pumps together can fill 1/6 of the pool each hour.   2.5x = 1/6   x = 1/15   The slower pump could fill the pool in 15 hours.   The answer is 15.
Answer: C
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 5 of the slips are the drawn, without replacement, what is the probability that all 5 have a odd number written on it?  Pick
A) 1/12
B) 1/10
C) 1/8
D) 1/24
E) 5/9

Solution: Key is that there is no replacement, so each successive choice will become more skewed towards picking a neg (i.e. the pool of positives decreases, while the pool of negatives stay the same)   P(+ on 1st pick) = 5/10   P(+ on 2nd pick) = 4/9   P(+ on 3rd pick) = 3/8   P(+ on 4rd pick) = 2/7   P(+ on 5rd pick) = 1/6   5/10*4/9*3/8*2/7*1/6=1/252   1/12
Answer: A
The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time G all five colored lights will all flash together at the exact same time?  Pick one:  A) 0:03 AM  B) 0:04 AM  C) 0:06 AM  D) 0:12 AM  E) 0:24 AM

Solution: Time taken by each light to on   Red = 20 secs   Blue = 30 secs   Green = 45 secs   Orange = 60 secs   Yellow = 80 secs   We need to take LCM to find the time all five colored lights will flash together.   LCM = 720 secs   =12 mins   =0.12 AM   Ans = 0:12 AM
Answer: D
Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 15% greater than any other employee, what is the lowest possible salary that any one employee earned?  Choose the correct choice:
A) $40,000	B) $41,667	C) $42,000	D) $43,750	E) $60,000

Solution: Employee 1 earned $x(say)   Employee 2 will not earn more than $1.15x   Therfore, to minimize the salary of any one employee, we need to maximize the salaries of the other 20 employees   (1.15x*20)+x=1,050,000   Solving for x=$43,750   Answer $43,750
Answer: D
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?	Choose the most appropriate option.
A) 482 B) 442 C) 552 D) 662 E) 526

Solution: 20000(11/10)4 - 20000(6/5)2 = 482   482nswer: 482
Answer: A
The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in three colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?	Choose the correct choice.
A) 24
B) 32
C) 8
D) 60
E) 192

Solution: I have no idea how you got 8C8, 7C6 and 4C1.   I could have understood 8C1*6C1*4C1 (I have explained why this doesn't work in the post above)   The best way to solve it is by first selecting 3 colors out of the given 4 in 4C3 ways. (say, you got black, red and green)   Now for each color, you have 2 choices - model A or B   So you select a model in 2 ways.   No of ways of selecting the 3 cars = 3C3 * 2 * 2 * 2 = 8   Well, my logic was   The number of ways of selecting r objects from n different objects is nCr.   We have 8 options and can select either of the 8 as the first - 888   One car is gone and one becomes a forbidden choice so we have 7 options and need to select either of the 6 as the first - 786   Two cars are gone and two becomes a forbidden choice so we have 6 options and need to select either of the 4 as the first - 684   8
Answer: C
Of 70 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose one:
A) 54	B) 55	C) 59	D) 71	E) 92

Solution: Total = 90   Thrower = 37   Rest = 90 - 37 = 33   Left Handed = 33/3= 
33/3 = 11
11   Right handed= 22   If all Thrower are right handed then total right handed is   37 + 22= 
  37 + 22 = 59
59   so C. 59 is the right answer
Answer: C
If p is the product of the integers from 1 to 36, inclusive, what is the greatest integer k for which 3^k is a factor of p?	Choose the correct choice from the following choices:
A) 13	B) 15	C) 17	D) 19	E) 21

Solution: 36! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.   We need to add 5 more to these 12 because of 9, 18, 27, and 36.   The greatest integer of k is 17.   The answer is 17.
Answer: C
In a stack of cards, 9 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 6/11. What is the number of cards in the stack?
Choose one
A) 10
B) 11
C) 12
D) 15
E) 18

Solution: 9/(9+x)∗8/(8+x)=6/119/(9+x)∗8/(8+x)=6/11   0=17x+x2−600=17x+x2−60   0=(x+20)(x−3)0=(x+20)(x−3)   x=3   9+3= 
9+3 = 12
12   the answer is (12)
Answer: C
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?  Choose the correct choice from the following answers
A) 1/8  B) 1/3  C) 1/6  D) 1/2  E) 5/3

Solution: A's one day's work = 1/30   B's one day's work = 1/45   (A + B)'s one day's work = 1/30 + 1/45 = 1/18   The part of the work completed in 3 days = 3 (1/18) = 1/6.   Answer:1/6
Answer: C
When a producer allows 36% commission on retail price of his product, he earns a profit of 8.8%. what would be his profit % if the commission is reduced by 24%?	Choose the correct choice from the following options:	A) 45.9	B) 47.9	C) 49.6	D) 51.9	E) None of them

Solution: Let the retail price =Rs 100.then, commission=Rs 36   S.P=Rs(100-36)= 
(100-36) = 64
Rs 64   But, profit=8.8%   C.P=Rs(100/108.8*64)=Rs 1000/17   New commission =Rs12. New S.P=Rs(100-12)Rs 88   Gain=Rs(88-1000/17)=Rs 496/17   Gain%=(496/17*17/1000*100)= 
(496/17*17/1000*100) = 248/5 = around 49.6
49.6%   Answer is 49.6.
Answer: C
If four coins are tossed, the probability of getting two heads and two tails is?  Pick one
A) 3/8  B) 2/7  C) 2/5  D) 1/4  E) 1/7

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer: 3/8
Answer: A
Three seventh of a number is 12 more than 40% of that number. What will be the 30% of that number?	Choose the correct choice from the following answers:	A) A)148	B) B)210	C) C)63	D) D)248	E) E)258

Solution: 3/7 x – 40/100 x = 12   x = 35 * 12   35 * 12 * 30/100= 
35 * 12 * 30/100 = 126
126/2= 
126/2 = 63
63   ANSWER:63
Answer: C
If the two hands in a clock are 15 minutes divisions apart,then the angle between them is Pick.
A) 3Â°
B) 18Â°
C) 24Â°
D) 90Â°
E) None of these

Solution: In a clock, each minute makes 6Â°   âˆ´ 15 minutes will make 6 Ã— 15 = 90Â°   Answer 90Â°
Answer: D
Sides of a rectangular park are in the ratio 2:5 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Options.
A) s.122	B) s.129	C) s.125	D) s.120	E) s.130.64

Solution: 2x * 5x = 3750 => x = 19.36   2(80.64 + 50) = 261.28 m   261.28 * 1/2 = Rs.130.64   Answer:s.130.64
Answer: E
Alex bought 160 shirts at the rate of $225 per shirt. The transport expenditure was $1400. He paid an octroi at the rate of $1.75 per shirt and labour charges were $320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices.
A) $244	B) $255	C) $285	D) $277	E) $238

Solution: $285   $285   Total $285P per shirt = 225 + 1400/160 + 1.75 + 320/160= 
225 + 1400/160 + 1.75 + 320/160 = 237.5
$237.5   SP= $285P[(100 + profit%)/100]   = 237.5 * [(100 + 20)/100] = $285.237.5 *  (100 + 20)/100= 
237.5 *  (100 + 20)/100 = 285
$285.
Answer: C
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?	Choose the correct choice from the following:
A) 833 8/3 grams B) 833 1/3 grams C) 837 1/3 grams D) 533 1/3 grams E) 233 1/3 grams

Solution: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.   If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.   How many grams he has to give instead of one kilogram(1000 gm).   120 gm ------ 100 gm   1000 gm ------ ?   (1000 * 100)/120 = 2500/3 = 833 1/3 grams.   Answer:833 1/3 grams
Answer: B
A school bus travels from kormangala to Electronic City. There are four children in the bus. Each child has four backpacks with him. There are four dogs sitting in each backpack. Every dog has four puppies with her. All these dogs have four legs, with four toes at each leg. Choose the correct choice from the following.
A) 5150  B) 5160  C) 5170  D) 5180  E) 5190

Solution: 16 backpacks(Each child has 4 backpacks)   64 dogs (Each backpack has 4 dogs)   256 puppies (Each dog has 4 puppies)   Now 256 puppies had total= 256*4= 
256*4 = 1_024
1024 * 4= 
1024 * 4 = 4_096
4096 toes   64 dogs had total= 64 * 4= 
64 * 4 = 256
256 * 4= 
256 * 4 = 1_024
1024 toes   4 chidren had total=4 * 10= 
4 * 10 = 40
40 toes   So the total toes on bus will be(except driver)= 4096+1024+40= 
4096+1024+40 = 5_160
5160 toes   or   If considering driver answer will be= 5160 + 10= 
5160 + 10 = 5_170
5170   ANSWER:5170
Answer: C
A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used ?	Choose the correct choice from the following answers:
A) 10  B) 37  C) 27  D) 18  E) 19

Solution: Let the total profit be Rs. z. Then,   B's share = Rs. 2z/3, A's share = Rs. ( z - 2z/3 ) = Rs. z/3.   A : B = z/3 : 2z/3 = 1:2   Let the total capital be Rs, X and suppose B's money was used for x months. Then.   (1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3)= 
(15 * 2 / 3) = 10
10 .   Thus, B's money was used for 10 months.   10nswer: 10) 10 months
Answer: A
Given that E and F are events such that P(E) = 36, P(F) = 24 and P(E n F) = 36,
find P (E|F) and P(F|E)	Answers.
A) 5  B) 8  C) 2  D) 6  E) 12

Solution: Here, E and F are events   P(E|F) = P(EnF)/P(F) = 36/36= 
36/36 = 1
1   P(F|E)= P(EnF)/P(E) = 36/24 = 2.   2)
Answer: C
If after 250 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used? Choose the correct choice from the following choices.
A) 180 grams	B) 220 grams	C) 250 grams	D) 350 grams	E) 500 grams

Solution: The 24% alcohol solution decreases by 1/3 once the 250 grams of water is added so  250/.08= 
 250/.08 = 3_125
3125*.16% (2/3 of 24%) is 500 grams, thus answer is 500 grams.
Answer: E
If 0.5% of A =85 paise, then the value of A is ?  Select the correct option
A) Rs. 170	B) Rs. 17	C) Rs. 1.70	D) Rs. 4.25	E) None

Solution: Answer   ∵ 0.5/100 of A = 85/100   ∴ A = Rs. (85 / 0.5) = Rs. 170   Correct Option: Rs. 170
Answer: A
If six persons sit in a row, then the probability that three particular persons are always together is? Choose the correct choice from the following options: A) 1/4 B) 1/8 C) 1/5 D) 1/9 E) 1/2

Solution: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6!   = 1/5   Answer: Option 1/5   Explana1/5
Answer: C
At what angle the hands of a clock are inclined at 15 minutes past 5?
Choose the correct choice from the following answers
A) 135/9 B) 135/2 C) 135/1 D) 135/7 E) 135/73

Solution: Sol:   Apply the formula:   θ=∣∣∣30h−112m∣∣∣θ=|30h−112m|   ⇒ Angle = 30 × 5 –11/2 × 15 = 150 – 165/2 = 135/2   Answer:135/2
Answer: B
Two trains 300m and 400m long run at the speed of 36kmph and 18 kmph in opposite directions in parallel tracks. The time which they take to cross each other is?  Pick.
A) 5.6sec
B) 46.67 sec
C) 10.8sec
D) 12.6sec
E) 15sec

Solution: Relative speed = 36+18= 
36+18 = 54
54 kmph * 5/18= 15 m/s   Distance covered in crossing each other = 300+400= 
300+400 = 700
700m   Required time= 700*1/15=46.67 sec   Answer is 46.67 sec
Answer: B
A specialized type of sand consists of 40% mineral X by volume and 60% mineral Y by volume. If mineral X weighs 3.5 grams per cubic centimeter and mineral Y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? (1 meter = 100 centimeters) Pick one:
A) 5,500,000  B) 3,200,000  C) 55,000  D) 28,000  E) 280

Solution: Let the volume be 1 m^3 = 1m * 1m * 1m = 100cm * 100cm * 100cm = 1,000,000 cm^3   3,200,000y volume   40% is X = 400,000 cm^3   60% is Y = 600,000 cm^3   3,200,000y weight,   In 1 cm^3, X is 3.5 gms   In 400,000 cm^3 , X = 3.5 * 400,000 = 1,400,000 grams   In 1 cm^3, Y is 3 gms   In 600,000 cm^3, Y = 3 * 600,000 = 1,800,000 gms   Total gms in 1 m^3 = 1,400,000 + 1,800,000 = 3,200,000   ANSWER:3,200,000
Answer: B
A car travels uphill at 30 km/hr and downhill at 70 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car? Choose the correct choice from the following answers.
A) 32kmph	B) 33kmph	C) 34kmph	D) 35kmph	E) 37kmph

Solution: avg speed=total distance/total time.   total distance traveled=100+50= 
100+50 = 150
150km;   time taken for uphill journey=100/30=10/3;   time taken for down hill journey=50/60=5/7;   avg speed=150/(10/3+5/7)=37kmph   ANSW37kmphR:37kmph
Answer: E
If six persons sit in a row, then the probability that three particular persons are always together is -. Choose the correct option:	A) 1/5	B) 1/7	C) 1/9	D) 1/2	E) 2/7

Solution: 3!4! Required probability = 3!4!/6! = 1/5   1/5NSWER 1/5
Answer: A
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:
A) 25/42
B) 25/49
C) 25/27
D) 25/19
E) 25/25

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
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? Select:
A) 65,15
B) 40,15
C) 30,20
D) 35,20
E) 40,50

Solution: x + y = 80   x â€“ 4y = 5   x = 65 y = 15   65,15NSWER 65,15
Answer: A
Two pipes A and B can fill a tank in 12 hours and 15 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank? Pick.
A) 20 hours	B) 15 hours	C) 10 hours	D) 12 hours	E) 7 4/9 hours

Solution: Part filled by A in 1 hour = 1/12   Part filled by B in 1 hour = 1/15   Part filled by (A+B) in 1 hour = 1/12 + 1/15 = 9/60   Both the pipes together fill the tank in 60/9 = 7 4/9 hours   Answer is 7 4/9 hours
Answer: E
x is a positive integer less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?	Choose the correct choice.
A) 21
B) 22
C) 23
D) 24
E) 25

Solution: when x divided by 7 and leave reminder 1. x could be 1,8,15,....   when divided by 3 and leave reminder 2- x could be 2,5,8,....   so x must be of the form 21m+8 where m=0,1,2,.....   first no will be 8 and last no will be 491.   so total no. less than 500 will be 24.   Answer:24
Answer: D
Tough and Tricky questions: Combinations.
Five contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Choose the correct choice from the following options
A) 6
B) 7
C) 15
D) 16
E) 24

Solution: Number of ways First-place medal can be awarded to four contestants = 5   Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3   Therefore number of possibilities = 5 *3= 
5 *3 = 15
15   Answer:15
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?  Select
A) 287 Sec B) 190 Sec C) 277 Sec D) 177 Sec E) 667 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   Answer:190 Sec
Answer: B
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?  Choose the most appropriate option.
A) 42, 33	B) 42, 36	C) 44, 33	D) 44, 36	E) 45, 46

Solution: Explanation:   Let the marks secured by them be x and (x + 9)   Then sum of their marks = x + (x + 9) = 2x + 9   Given that (x + 9) was 56% of the sum of their marks   =>(x + 9) = 56/100(2x + 9)   => (x + 9) = 14/25 (2x+9)   => 25x + 225 = 28x + 126   => 3x = 99 => x = 33   Then (x + 9) = 33 + 9= 
33 + 9 = 42
42   Hence their marks are 33 and 42   42, 33nswer: Option 42, 33
Answer: A
On the x-y coordinate plane there is a parabola, y=x(4-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 4) II. (2, 3) III. (4, 1)
Select the correct option:
A) I only B) II only C) III only D) I and II E) I, II, and III

Solution: Since co-efficient of x^2 is negative, the parabola will be downward facing. So the parabola and the x axis will enclose some points where the y-values of the parabola are positive.   When x = 1, y = 3 lies on the parabola, so (1, 4) will not be enclosed by the parabola and x axis.   When x = 2, y = 4 lies on the parabola, so (2, 3) will lie below it and this point will be enclosed by the parabola and x axis.   When x = 4, y = 0 lies on the parabola, so (4, 1) will not be enclosed by the parabola and x axis.   The answer is II only.
Answer: B
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Pick one
A) 176 B) 375 C) 355 D) 326 E) 281

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   75 ----- ?=> 375   Answer: 375
Answer: B
(y^n - b^n) is completely divisible by (y - b), when	Select the correct option.
A) n is odd natural number  B) n is even natural number  C) n is any natural number  D) n is prime  E) None

Solution: For every natural number n, (y^n - b^n) is completely divisible by (y - b).   n is any natural number
Answer: C
A rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Options:	A) a) 4 inches	B) b) 6 inches	C) c) 5 inches	D) d) 8 inches	E) e) 10 inches

Solution: you need to divide the width and length of the rectangular to equal pieces where L = W   you can solve this using Gc) 5 inchesF   35=5*7   45=3*3*5   Gc) 5 inchesF = 5   P.S you can make squares with side of 5   Answer : c) 5 inches
Answer: C
A 8% product yields 10%. The market value of the product is:	Select the correct option.
A) Rs. 60	B) Rs. 40	C) Rs. 70	D) Rs. 80	E) Rs. 50

Solution: Let the face value of the product is Rs.100   It yields Rs.8   Market value of the stock=(8/10)*100=Rs.80   ANSWER:Rs. 80
Answer: D
If positive integer k is divided by 4, the quotient is m and the remainder is 2, then which of the following must be true?
I. k + m is even
II. k cannot be a even number
III. k is divisible by 3 Pick
A) None
B) I
C) II
D) III
E) I and II only

Solution: k = 4m+2 = 2(2m+1)   I. k + m = 2(2m+1) + m => even if only m is even, however m can be odd => not always true   II. k can not be a prime: not always true:   m=0 => k=2 : a prime   III. not true if m is even   Nonens: none of the above
Answer: A
An choclate store received shipments of ingredients on Monday and Tuesday . Tuesday's shipment had 3 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?	Choose the correct option
A) 0 and 1/10 pounds  B) 9 and 6/7 pounds1  C) 10 and 2/5 pounds  D) 11 pounds  E) 11 and 1/7 pounds

Solution: Solution: Average weight = Total weight/number of packages. The total weight on Monday was 3 * (11 and 2/3 pounds), or 35 pounds. The total weight on Tuesday was 7 * (9 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 66 + 35, or 101 pounds. The average is 101 pounds/10 packages, or 10 and 1/10 pounds per package.   0 and 1/10 poundsnswer : 0 and 1/10 pounds
Answer: A
Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 9800 envelopes.
Select the correct option.
A) 2
B) 3
C) 4
D) 6
E) 7

Solution: You can either take the amount of work done as the same as Karishma has done or take the work done by each in the same time. I will do the latter   1. Work done in 1 hr by A is 2000 envelopes   2. Work done in 1 hr by A and C is 3000 envelopes   3. So work done in 1 hr by C is 1000 envelopes   4. Work done in 1 hr by B and C is 2400 envelopes   5. So work done in 1 hr by B is 1400 envelopes   6. So to process 9800 envelopes B will take   9800/1400= 
  9800/1400 = 7
7 hrs   So the answer is choice 7
Answer: E
John deposited $10,000 to open a new savings account that earned 10 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?	Choices:	A) $10,100.75	B) $10,101.75	C) $10,506.25	D) $10,201.35	E) $10,404.25

Solution: 10 percent annual interest compounded quarterly --> 2.5% in 3 moths.   For the first 3 moths interest was 2.5% of $10,000, so $250;   For the next 3 moths interest was 2.5% of $10,000,plus6.25 earned on previous interest of $250, so $250+$6.25=$256.25;   Total interest for 6 months was $250+$256.25  250+ 6.25= 
  250+ 6.25 = 256.25
$256.25;   Total interest for 6 months was $250+$256.25=$506.25, hence balance after 6 months was $10,000+ $506.25 250+ 256.25= 
 250+ 256.25 = 506.25
$506.25, hence balance after 6 months was $10,000+ $506.25=$10,506.25.   Answer: $10,506.25.
Answer: C
A committee of four people is to be chosen from five married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?	Choose the correct choice.
A) 16 B) 48 C) 64 D) 80 E) 96

Solution: Each couple can send only one representativeto the committee. Let's see in how many ways we can choose 4 couples (as there should be 4 members) out of 4 to send only one representatives to the committee: 5c4=5.   But each of these 5 couples can send two persons (husband or wife): 2*2*2*2=2^4=16.   Total # of ways: 5C4*2^4=80   Answer: E.
Answer: D