MU-NLPC/Calc-aqua_rat huggingface dataset:
A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. Choices
A) 36 kmph  B) 16 kmph  C) 26 kmph  D) 46 kmph  E) 50 kmph

Solution: Let the speed of the goods train be x kmph.   Distance covered by goods train in 10 hours= Distance covered by express train in 4 hours   10x = 4 x 90 or x =36.   So, speed of goods train = 36kmph   36 kmphNSWER 36 kmph
Answer: A
Of all the homes on Gotham Street, 2/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Options
A) a) 2/15	B) b) 3/15	C) c) 4/5	D) d) 2/5	E) e)1/5

Solution: let total homes be 15   termite ridden= 2/3(15)= 10   termite ridden and collapsing = 2/5(10)=4   thus homes that are termite ridden, but not collapsing = 10-4= 
10-4 = 6
6   thus required ratio= 6/15=2/5   Answer d) 2/5
Answer: D
How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDQTERRANEAN such that the first letter is E and the last letter is R?	Choose the correct choice from the following
A) 34
B) 45
C) 46
D) 49
E) 56

Solution: Therefore, we have to find two more letters from the remaining 11 letters.   Of the 11 letters, there are 2 Ns, 2Es and 2As and one each of the remaining 5 letters.   The second and third positions can either have two different letters or can have both as same letters.   Case 1: When the two letters are different   One has to choose two different letters from the 8 available different choices.   This can be done in   8 * 7= 
  8 * 7 = 56
56 ways.   56
Answer: E
A rectangular room has the rectangular shaped rug shown as above figure such that the rug’s area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?
Choose the correct choice from the following
A) 32  B) 456  C) 40  D) 46  E) 104

Solution: Rug's area = 160   which is (x) x (6+x) = 160   so x= 10   rug maintains a uniform distance of 6 feet   so room has dimension 10+12 and 16+12 i.e. 22 and 28   area of room 22x28 = 616   area covered is 160   so uncovered area is 616-160= 
616-160 = 456
456 (ANSWER 456)
Answer: B
If the total income of a state increases by 50% and the population of the state increases by 20%, What is the percent change in per capita income for the state?	Choose the correct choice from the following choices: A) A net increase of 40% B) A net increase of 30% C) A net increase of 25% D) A net increase of 20% E) A net decrease of 20%

Solution: We're told that the total income of a state increases by 50% and the total population increases by 20%   To start:   Total Income = $100   Total Population = 100 people   $  100/100= 
  100/100 = 1
$1 per person   After the increase:   New Total Income= $150   New Total Population = $120   $150/120 = $5/4 per person   The question asks for the percent increase in per capita income, which means that we need to use the Percentage A net increase of 25%hange Formula:   Percent A net increase of 25%hange = (New - Old)/Old   New = 5/4   Old = 1   (5/4 - 1)/1 = (1/4)/1 = 1/4 = 25% increase   A net increase of 25%
Answer: C
In a box of 10 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? Pick:
A) 6/11
B) 7/15
C) 8/17
D) 9/22
E) 10/23

Solution: P(neither pen is defective) = 7/10*6/9 = 7/15   The answer is 7/15.
Answer: B
If a young child was 15 months old one year ago, how old was the child, in months, x months ago?	Pick one
A) x − 27	B) x − 12	C) 15 − x	D) 24 − x	E) 27 − x

Solution: The child's age today is 15 months + 12 months = 27 months   x months ago, the child's age was (27 - x) months old.   The answer is 27 − x.
Answer: E
How many positive factors do 180 and 90 have in common?
Choose the correct option.
A) 6
B) 12
C) 16
D) 18
E) 24

Solution: The number of common factors will be same as number of factors of the Highest Common Factor(HCF)   HCF of 180 and 90 is 90   Number of factors of 90 = 12   Answer :12
Answer: B
A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?  Choose the correct choice from the following answers.
A) $503  B) $504  C) $515  D) $528  E) $537

Solution: Explanation:   Cash price = $22 000   $528eposit = 10% Ã— $22 000 = $2200   Loan amount = $22000 âˆ’ $2200   Number of payments = 60   = $19800   I=p*r*t/100   I=11880   Total amount = 19800 + 11880= 
19800 + 11880 = 31_680
$31680   Regular payment= total amount /number of payments = 528   Answer: $528
Answer: D
A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 15 miles per hour." What was their average speed in the whole journey?  Choose the correct choice from the following options
A) 10 miles/hour  B) 12 miles/hour  C) 11 miles/hour  D) 13 miles/hour  E) 14 miles/hour

Solution: 2xy/x+y=2*150/25= 
2*150/25 = 12
12 miles/hour   ANSWER:12 miles/hour
Answer: B
Yesterday it took Robert 4 hours to drive from City A to City B. Today it took Robert 2.5 hours to drive back from City В to City A along the same route. If he had saved 15 minutes in both trips, the speed for the round trip would be 70 miles per hour. What is the distance between city A and city B?	Choose the correct option:  A) 90  B) 120  C) 150  D) 210  E) 300

Solution: 2d/70 = 6 ( because time = 4 + 2.5 - 0.5 hrs)   => d = 210   Answer - 210
Answer: D
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?  Options
A) 1:2
B) 4:5
C) 1:1
D) 3:2
E) 5:3

Solution: This is a weighted average question. Average of -11% and +7% is +1%.   Using w1/w2 = (1:22 - 1:2vg)/(1:2vg - 1:21),   we get w1/w2 = (7 - 1)/(1- (-11)) = 6/12   Revenue from Car:Revenue from Trucks = 1:2   1:2NSWER:1:2
Answer: A
A sum amounts to Rs.5292 in 2 years at the rate of 5% p.a. If interest was compounded yearly then what was the principal?	Choose the correct choice from the following answers
A) s.4000	B) s.5000	C) s.4500	D) s.4800	E) s.5800

Solution: CI=5292,R=5,N=2   CI=P[1+R/100]^2   =P[1+5/100]^2   5292=P[21/20]^2   5292[20/21]^2   4800   ANSWER:s.4800
Answer: D
In a certain country 1/5 of 8 = 4. Assuming the same proportion, what would be the value of 1/4of 16 ?  Choose the correct choice
A) 13  B) 12  C) 10  D) 16  E) 14

Solution: 10   10
Answer: C
How many litres of pure acid are there in 8 litres of a 20% solution? Choose the correct choice from the following options:  A) 1.4  B) 1.5  C) 1.6  D) 2.4  E) None

Solution: Solution   Quantity of pure acid	= 20% of 8 litres   = (20/100×8)litres   = 1.6 litres.   Answer 1.6
Answer: C
There are 5 boxes numbered from 1 to 5. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Pick one:
A) 15 B) 17 C) 19 D) 21 E) 23

Solution: 1 green ball: 5 ways   2 green balls: 4 ways   3 green balls: 3 ways   4 green balls: 2 ways   5 green balls: 1 way   The total number of ways is   5*6/2= 
  5*6/2 = 15
15   The answer is 15.
Answer: A
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 5, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x-5)(x+10)(2x-5) = 0?	Choose the correct choice
A) 1/12	B) 1/6	C) 1/4	D) 1/3	E) 1/2

Solution: Roots of the equation (x-5)(x+10)(2x-5)=0 are x=5,x=-10andx=5/2=2.5. So, three solutions present in our set of 12 distinct numbers, therefore P=3/12=1/4.   Answer: 1/4.
Answer: C
Anitha runs her own baking company.This morning,Anitha worker baked 810 plum pies.They also baked some more after lunch. In total,they baked 888 plum pies. How many plum pies did Anitha workers bake after lunch?
Choose one:
A) 28	B) 56	C) 78	D) 13	E) 34

Solution: 888-810= 
888-810 = 78
78. Answer is 78.
Answer: C
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?	Choices.
A) Rs. 1883.78
B) Rs. 2380
C) Rs. 3690
D) Rs. 3864
E) None of these

Solution: Explanation:   Kamal : Sameer = (9000 * 12) : (8000 * 7) = 108 : 56 = 27 : 14.   âˆ´   Sameer's share = Rs.   (6970âˆ—14/41)   = Rs. 2380   ANSWER IS Rs. 2380
Answer: B
If |7x+2| = 16, then find the product of the values of x?  Choose the correct answer:
A) -5.14  B) 6.19  C) -7.18  D) -8.62  E) 5.69

Solution: |7x+2| = 16   7x+2 = 16 or 7x+2 = -16   7x = 14 or 7x = -18   x = 2 or x = -2.57   product = -2.57*2 = -5.14   -5.14nswer is -5.14
Answer: A
There are 16 teams in a soccer league, and each team plays each of the others once. Given that each game is played by two teams, how many total games will be played?
. Options:
A) 256
B) 230
C) 196
D) 169
E) 120

Solution: Let's call the teams...ABCDE FGHIJ KLMNO P   Team A plays each of the other 15 teams, so that's 15 games.   Team B already played Team A, so it plays 14 OTHER games.   Team C already played Teams A and B, so it plays 13 OTHER games.   Team D already played Teams A, B and C, so it plays 12 OTHER games.   Etc.   The sum of all of these games is...   15+14+13.....+3+2+1 = 120   Final Answer:120
Answer: E
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is? Choices:
A) 1 : 3
B) 3 : 4
C) 3 : 5
D) 3 : 7
E) 4 : 5

Solution: Let the speed of the train be x km/hr and that of the car be y km/hr.   Then, 120 + 480 = 8 1 + 4 = 1 ....(i)   x y x y 15   And, 200 + 400 = 25 1 + 2 = 1 ....(ii)   x y 3 x y 24   Solving (i) and (ii), we get: x = 60 and y = 80.   Ratio of speeds = 60 : 80 = 3 : 4   3 : 4
Answer: B
x and y are positive integers. When x is divided by 15, the remainder is 2, and when x is divided by 10, the remainder is 7. When y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 2. What is the least possible value of x * y?	Options
A) 389
B) 390
C) 388
D) 391
E) 392

Solution: When x is divided by 15, the remainder is 2: So, the possible values of x are: 2, 17, 32, 47, etc.   When x is divided by 10, the remainder is 7: So, the possible values of x are: 7,17... STOP. Since both lists include 17, the smallest possible value of x is 17.   When y is divided by 9, the remainder is 5: So, the possible values of y are: 5, 14, 23,32 etc.   When y is divided by 7, the remainder is 2: So, the possible values of y are: 2, 9, 16, 23 ...STOP. Since both lists include 23, the smallest possible value of y is 23   Since the smallest possible values of x and y are 17 and 23 respectively, the smallest possible value of x * y is 391. So,391 is the correct answer to the original question.
Answer: D
The divisor is 21, the quotient is 14 and the remainder is 7.
What is the dividend?
Choose the correct choice from the following answers:
A) 201
B) 394
C) 302
D) 301
E) 294

Solution: 301 = d * Q + R   301 = 21 * 14 + 7   301 = 294 + 7   301 = 301
Answer: D
Anne and Beth will participate in a sack race (In a sack race, people hop to reach the finish line). In the time that Anne takes 3 hops, Beth takes 4 hops but the distance covered by Anne in 4 hops is equal to distance covered by Beth in 5 hops. What is the ratio of Anne’s speed: Beth’s speed? Choose the correct choice.
A) 3 : 5	B) 12 : 20	C) 15 : 16	D) 1 : 1	E) 5 : 3

Solution: The distance covered by Anne in 4 hops is equal to distance covered by Beth in 5 hops --> 4*(distance of Ann's 1 hop) = 5*(distance of Beth's 1 hop).   The time that Anne takes 3 hops, Beth takes 4 hops --> time for Ann to take 12 hops --> 3*(time for Ann's 1 hop) = 4*(time for Beth's 1 hop).   Divide one by another:   4/3*(distance of Ann's 1 hop)/(time for Ann's 1 hop) = 5/4*(distance of Beth's 1 hop)/(time for Beth's 1 hop);   4/3*(Anne's speed) = 5/4*(Beth's speed);   4/3*(Anne's speed)/(Beth's speed) = 15/16.   Answer: 15 : 16.
Answer: C
In a partnership between A, B and C. A's capital is Rs.8000. If his share of a profit of Rs.800 is Rs.300 and C's share is Rs.230, what is B's capital?	Choose the correct choice from the following answers.
A) Rs.7600 B) Rs.7800 C) Rs.7200 D) Rs.7400 E) Rs.8400

Solution: 300 + 230= 
300 + 230 = 530
530   800 - 530= 
800 - 530 = 270
270   300 ---- 8000   270 ---- ?=> Rs.7200   ANSWER:Rs.7200
Answer: C
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?	Select the correct option:
A) 80% p.a	B) 50% p.a	C) 20% p.a	D) 27% p.a	E) 23% p.a

Solution: Rs.1440 - 1200   = Rs.240 is the interest on Rs.1200 for one year.   Rate of interest   = (100 * 240) / (100 * 1)   = 20% p.a   Answer:20% p.a
Answer: C
70% of a number is added to 120, the result is the same number. Find the number?  Choose the most appropriate option:  A) 300  B) 400  C) 1687  D) 997  E) 121

Solution: (70/100) * X + 120 = X   2X = 800   X = 400   Answer:400
Answer: B
The population of a town is 20000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?	Choose one:
A) 4300	B) 4500	C) 5120	D) 5230	E) 12800

Solution: 20000 × 80/100 × 80/100 = 12800   Answer : 12800
Answer: E
What will be the day of the week 15th August, 2010? Answers.
A) Sunday
B) Wednesday
C) Saturday
D) Monday
E) THUSAW

Solution: Explanation:   15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)   Odd days in 1600 years = 0   Odd days in 400 years = 0   9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 = 4 odd days.   Jan. Feb. Mar. Apr. May. Jun. Jul. Aug.   (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15)= 
(31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227
227 days   227 days= (32 weeks + 3 days) 3 odd days.   Total number of odd days = (0 + 0 + 4 + 3)= 
(0 + 0 + 4 + 3) = 7
7= 0 odd days.   Given day is Sunday   Sundaynswer: Sunday) Sunday
Answer: A
Sony and Johnny caught 50 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?  Options:	A) 12	B) 16	C) 10	D) 38	E) 42

Solution: s+j=50   s=4*j   j=10   ANSWER:10
Answer: C
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams F could be selected from the eight candidates?	Pick:	A) 56	B) 120	C) 210	D) 1120	E) 6720

Solution: If an executive team is considered different if any of the same people hold different offices,....   so you will not have answer as 6720..   president could be by any of 8 person..   treasurer could be any out of remaining 7 person..   remaining three order does not matter, so we have to choose 3 out of 6=6c3=20..   total ways F= 8*7*20=1120..   ans 1120...
Answer: D
What is the unit digit in 7^105?  Choose the most appropriate option.
A) 1 B) 5 C) 7 D) 9 E) None of them

Solution: Unit digit in 7^105= Unit digit in [(7^4)^26 x 7]   But, unit digit in (7^4)^26=1   Therefore, Unit digit in 7^105=(1x7)=7   Answer is 7
Answer: C
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $83. If $2,000 is the total amount invested, how much is invested at 8 percent? Select:
A) $550	B) $650	C) $750	D) $850	E) $950

Solution: 0.1x = 0.08(2000-x)+83   0.18x = 243   x = 1350   Then the amount invested at 8% is $2000 - $1350 = $650   The answer is $650.2000 -  1350= 
2000 -  1350 = 650
$650   The answer is $650.
Answer: B
An equilateral triangle is inscribed in a circle, as shown above. What is the area of the shaded region, if the area of the circle is 2?  Choose one
A) 2 - 3√3  B) 2 - 3√3/∏  C) 2 - 3√3/4  D) 2 - 3√3/(2∏)  E) 2∏ - 3√3/(2∏)

Solution: 1) since we are subtracting from overall so first term should be 2... E out   2) the area of triangle that is to be subtracted should be in terms of π...A and C are out.. also A gives you answer in negative   3) in B, ans would be around 0.3 and in D, ans will be around 1.2...   Clearly the shaded and unshaded are close to 1/2 each..   2 - 3√3/(2∏) is the answer
Answer: D
Let X be the smallest positive integer such that 10 and 14 are factors of 250 + X, so the value of X is: Choose the correct choice from the following answers.
A) 0	B) 10	C) 20	D) 30	E) 40

Solution: You can calculate the LCM (10,14) = 70.   After that you should check which of the possible X values will result in a number divisible by 70.   The only possibility for this is 30 ( because 250 + 30= 
250 + 30 = 280
280= 70*4)   Answer 30
Answer: D
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 20% profit was earned which was equal to 98,000. What was the amount invested by R?
Choose the correct answer
A) 2,10,000
B) 1,05,000
C) 1,75,000
D) Data inadequate
E) None of these

Solution: Ratio for amount invested by P, Q & R   = 5x × 12 : 6x × 12 : 6x × 6   = 60x : 72x : 36x   = 5x : 6x : 3x   Profit = 98000 = 20% of T   where, T = Total amount   T = 490000   Amount received by   R = 3x /3x+6x+5x(490000)   = 105000   Answer 1,05,000
Answer: B
In how many H ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
Choose the correct answer:
A) 720
B) 864
C) 900
D) 936
E) 1,296

Solution: Total number of four letter passwords = 6*6*6*6= 
6*6*6*6 = 1_296
1296 ------(1)   Total number of passwords in which no letter repeats= 6C4*4!= 15*24= 
15*24 = 360
360------(2)   therefore required value H= (1)-(2)= 1296-360=936.936
Answer: D
How many of the positive factors of 16 are not factors of 20  Answers.
A) 2	B) 3	C) 4	D) 1	E) 5

Solution: factors of 16 - 1, 2, 4, 8, 16   factors of 20 -1, 2, 4, 5, 10, 20.   Comparing both, we have 2 factors of 16 which are not factors of 20- 8,16   2nswer: 2
Answer: A
Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (14,4). What is the slope of line m?
Choose the correct choice from the following answers:
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: The midpoint of (2,8) and (14,4) is (8,6).   The slope of a line through (0,-2) and (8,6) is (6-(-2))/(8-0) = 8/8= 
8/8 = 1
1   The answer is 1.
Answer: D
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks then, the number of papers in which he got more than 50% marks is	Choose the correct choice from the following answers.
A) 1
B) 3
C) 4
D) 5
E) 7

Solution: Solution: Let the marks obtained in five subjects be 6x, 7x, 8x, 9x and 10x.   Total marks obtained= 40x   Max. Marks of the five subjects = 40x/0.6 [40x is 60% of total marks]   Max. Marks in each subject = 40x/0.6*5 = 13.33x   Hence, % of each subject = 6x*100/13.33 = 45.01%   Or, 7x*100/13.33 = 52.51   In same way other percentage are 60.01%, 67.52%, 75.01%.   Hence, number of subjects in which he gets more than 50% marks = 4.   Answer: Option 4
Answer: C
How many integers are between 4 and 87/8, inclusive? Choose the most appropriate option:  A) 4  B) 5  C) 7  D) 9  E) 10

Solution: 87/8 = 10.xx   We are not concerned about the exact value of 87/8 as we just need the integers.   Since the values are small, we can write down the integers.   The different integers between 4 and 87/8 would be 4, 5, 6, 7, 8, 9, 10   Total number of integers = 7   Option 7
Answer: C
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21 years. What is the age of the new member ?  Answers
A) 20 years  B) 21 years  C) 16 years  D) 23 years  E) 24 years

Solution: The average age of a group of 5 members is 20 years --> the sum of the ages is  5*20= 
 5*20 = 100
100;   Two years later the sum of the ages of these 5 members would be 100+5*2= 
100+5*2 = 110
110;   Now, say the age of the new member is x years, so the sum of the ages of a new 6 member group is 110+x. Since given that the average age of this group of 6 members is 21 years then: 21*6=110+x --> x=16.   Answer: 16 years.
Answer: C
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 3 years ago?
Pick one
A) 8	B) 11	C) 12	D) 14	E) 16

Solution: Let's say   Age of Richard isR   Age of David isD   Age of Scott isS   Now   Richard is 6 years older than David,   i.e. R = D +6   David is 8 years older than Scott   i.e. D = S +8   If in 8 years, Richard will be twice as old as Scott   i.e. R+8 = 2x(S+8)   i.e. R+8 = 2S + 16   i.e. R = 2S+8   But R = D+6 = (S+8)+6 = S+14   therefore, 2S + 8 = S +14   i.e. S = 6   i.e. R = 20   i.e. D = 14   Now,   how old was David 3 years ago?   i.e. D-3 = 14-3= 
14-3 = 11
11 years   Answer: Option   11
Answer: B
Margaret is 7 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Choose the correct choice from the following options:
A) 19yrs B) 20yrs C) 30yrs D) 40yrs E) 50yrs

Solution: Let, age of son x=12   Margaret is 7 years more than twice the age of his son, y = 7+2(x)   =7+2(12)   =7+24= 
7+24 = 31
31yrs   Difference= 31 - 12= 
31 - 12 = 19
19yrs   19yrsNSWER:19yrs
Answer: A
Barbata invests $2800 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?  Answers
A) 1200 B) 3000 C) 1000 D) 1400 E) 2400

Solution: Let the additional invested amount for 8% interest be x;   Equation will be;   2800+0.05*2800+x+0.08x = 2800+x+0.06(2800+x)   0.05*2800+0.08x = 0.06x+0.06*2800   0.02x = 2800(0.06-0.05)   x = 2800*0.01/0.02= 
2800*0.01/0.02 = 1_400
1400   Ans: "1400"
Answer: D
If December 3rd, 1999 is a Friday, what day is January 5th, 2000? Choose the correct answer
A) Wednesday	B) Thursday	C) Friday	D) Saturday	E) Sunday

Solution: There is difference of 33 days from Dec. 3rd 1999 to Jan. 5th 2000.   33/7 has a remainder of 5.   Jan. 5th is: Friday + 5 days = Wednesday   The answer is Wednesday.
Answer: A
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 11 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?  Choose the correct choice from the following options
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: The class borrowed a total of 40*2= 
40*2 = 80
80 books.   The 25 students who borrowed 0, 1, or 2 books borrowed a total of 12 + 11*2= 
12 + 11*2 = 34
34.   To maximize the number of books borrowed by 1 student, let's assume that 14 students borrowed 3 books and 1 student borrowed the rest.   80 - 34 - 3*14= 
80 - 34 - 3*14 = 4
4   The maximum number of books borrowed by any student is 4.   The answer is 4.
Answer: B