MU-NLPC/Calc-aqua_rat huggingface dataset:
Statement: An amount of money was lent for 3yrs. What will be the difference between the simple and the CI earned on it at the same rate?
Conclusion:
1) The rate of interest was 8 p.c.p.a.
2) The total amount of simple interest was Rs. 1200	Pick
A) I alone sufficient while II alone not sufficient to answer	B) II alone sufficient while I alone not sufficient to answer	C) Either I or II alone sufficient to answer	D) Both I and II are not sufficient to answer	E) Both I and II are necessary to answer

Solution: Given: T = 3 years.   I. gives: R = 8% p.a.   II. gives: S.I. = Rs. 1200.   Thus, P = Rs. 5000, R = 8% p.a. and T = 3 years.   Difference between C.I. and S.I. may be obtained.   So, the correct answer is (Both I and II are necessary to answer).
Answer: E
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 50 percent.	Choose the correct choice from the following options
A) 145
B) 150
C) 175
D) 160
E) 130

Solution: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 50 percent 150 min.Answer:150
Answer: B
The annual interest rate earned by an investment increased by 8 percent from last year to this year. If the annual interest rate earned by the investment this year was 27 percent, what was the annual interest rate last year? Select the correct option: A) 22% B) 20% C) 25% D) 23% E) 21%

Solution: let i = interest rate   i(this year) = i(last year) + 0.08i(last year) = 1.08i(last year)   27 = 1.08 x i(last year)   i(last year) = 27/1.08= 2700/108= 
2700/108 = 25
25%   Answer : 25%
Answer: C
A start walking from a place at a uniform speed of 6 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B. Pick.
A) 4.7 kmph B) 6.6 kmph C) 4 kmph D) 7 kmph E) 5.3 kmph

Solution: Distance covered by A in 30 min = 1 Km   B covers extra 1km in 1 hour 48 minutes (9/5 hr)   i.e. Relative speed of 6.6 kmph over A = 1/(9/5) = 5/9   So the speed of 6.6 kmph = Speed of A + 5/9   = 6 + 5/9   = 6.55   Answer 6.6 kmph
Answer: B
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 19% home electronics; 10% food additives; 24% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?  Pick:
A) 8° B) 90° C) 18° D) 36° E) 52°

Solution: 14% microphotonics;   19% home electronics;   10% food additives;   24% genetically modified microorganisms;   8% industrial lubricants;   100-(14+19+10+24+8)= 
100-(14+19+10+24+8) = 25
25% basic astrophysics.   25% of 360° is 90°.   Answer: 90°.
Answer: B
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?  Select:
A) 65 cm2  B) 85 cm2  C) 11 cm2  D) 15 cm2  E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer: 35 cm2
Answer: E
Three numbers are in the ratio 1:2:4 and their H.C.F is 6. The numbers are?	Choose the correct choice from the following choices
A) 6, 12, 30  B) 6, 12, 32  C) 6, 18, 24  D) 6, 12, 28  E) 6, 12, 24

Solution: Let the required numbers be x, 2x and 4x. Then, their H.C.F = x. So, x = 6.   The numbers are 6, 12, 24.   Answer: 6, 12, 24
Answer: E
A train 180 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post? Choose the most appropriate option
A) 11 s	B) 10 s	C) 7 s	D) 12 s	E) None of these

Solution: We know from the formula Time = Distance/ Speed   Thus, Time = 180/ 54 x 5/18   or, Time = 12 sec.   ANSWER:12 s
Answer: D
The income of a company increases 30% per annum. If its income is Rs 26,64,000 in the year 1999, what was its income in the year 1997? Options:
A) Rs.15,68,542 B) Rs.16,55,423 C) Rs.15,76,331 D) Rs.16,76,331 E) none of these

Solution: We have P = 2664000, R = 30 and n = 2   Therefore Company’s income in 1977   = P/(1 + (R/100))n = 2664000/(1 + (30/100))2   = Rs 15,76,331.   ANSWER:Rs.15,76,331
Answer: C
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 50, how many horses are there ?  Choose the correct choice from the following answers.
A) 10 B) 12 C) 14 D) 16 E) 18

Solution: legs 10*4= 
10*4 = 40
40   now half on their horses so remaining on the walk so 5 men   5 men has 10 legs   so, 10+ 40= 50 legs walking   10NSWER:10
Answer: A
There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? Choose the correct choice from the following options.
A) Rs. 612  B) Rs. 611  C) Rs. 610  D) Rs. 616  E) Rs. 615

Solution: Let the average expenditure per head be Rs. p   Now, the expenditure of the mess for old students is Rs. 44p   After joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3   Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33   Therefore, 59(p-3) = 44p + 33   59p - 177 = 44p + 33   15p = 210   => p = 14   Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.   Answer: Rs. 616
Answer: D
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.30 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?  Choose one:
A) 399
B) 272
C) 865.8
D) 277
E) 311

Solution: Answer: Option 865.8   Explanation:   a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 â€“ 6= 666 * 1.3= 
666 * 1.3 = 865.8
865.8 Answer: 865.8
Answer: C
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
Select the correct option.
A) 250  B) 276  C) 280  D) 285  E) 295

Solution: Explanation:   Since the month begins with a Sunday, to there will be five Sundays in the month.   Required average = (510 × 5 + 240 × 25/30)   = 8550/30= 
8550/30 = 285
285   Answer: 285
Answer: D
A group of 6 children and 10 adults are going to the zoo. Child tickets cost $10, and adult tickets cost $16. How much will the zoo tickets cost in all?  Choices
A) $220
B) $340
C) $150
D) $100
E) $120

Solution: Step 1: Find the cost of the children's tickets.   6 × $10 = $60   Step 2: Find the cost of the adults' tickets.   10 × $16 = $160   Step 3: Find the total cost.   $60 + $160 = $220   The zoo tickets will cost $220.   $220nswer is $220. 60 +  160= 
 60 +  160 = 220
$220   The zoo tickets will cost $220.   $220nswer is $220.
Answer: A
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 3 and 4 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
Choose the correct choice from the following answers.
A) 1 PM  B) 5 PM  C) 4 PM  D) 3 PM  E) 2 PM

Solution: 1 to 2 = 1/3   2 to 3 = 1/3 + 1/4 = 7/12   After 3 AM = 1/3 + 1/4 - 1/2 = 1/12   1/3 + 7/12 = 11/12   1 h ---- 1/12   ? ----- 11/12   11 hours ==> 2 PM   Answer:2 PM
Answer: E
what is a percent of b divided by b percent of a?
Choose the correct choice from the following options:
A) 100 B) 10 C) 1 D) a E) b

Solution: a percent of b=>ab/100   b percent of a=>ba/100   a percent of b divided by b percent of a=>(ab/100)/(ba/100)   =>1   ANSWER:1
Answer: C
A and B invests Rs.3000 and Rs.6500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the correct choice from the following choices:	A) 8:8	B) 9:8	C) 9:6	D) 9:5	E) 9:13

Solution: (3*6 + 6*6): (6.5*12)   54:78 => 9:13   Answer: 9:13
Answer: E
If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O?
Choose the most appropriate option.
A) 28 B) 22 C) 20 D) 16 E) 12

Solution: Given that (1/a)+a =3   Square both sides of the equation:   We get,   [(1/a)^2 + a^2 + 2*(1/a)*a] = 9   => (1/a)^2 + a^2 + 2 = 9   => (1/a)^2 + a^2 = 7 ----------------- (1)   16iameter 16 = (1/a)^2 + a^2   = 7 (From (1))   So Radius = 16/2 = 7/2   Circumference = 2*Pi*r   = 2*(22/7)*(7/2)   =16   So the answer should be 16.
Answer: D
The contents of a certain box consist of 48 apples and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be apples? Choose the correct option
A) 90 B) 72 C) 82 D) 54 E) 65

Solution: apple = (apple + kiwi + x)*0.3   48 = (30 + 48 + x)*0.3   x = 82   Answer: 82
Answer: C
3 letters have to be put into their 3 respective envelopes. If the letters are inserted randomly into the envelopes, what is the probability that all the letters go into their respective envelopes? Choose the correct choice from the following answers:
A) 1/30	B) 1/6	C) 1/120	D) 1/240	E) 3/5

Solution: A-B-C-D-E (envelopes)   a-b-c-d-e (letters)   3 letters (a, b, c, d, and e) can be assigned to 3 envelopes (arranged) in 3! ways, out of which only one will be correct, thus the probability is 1/3! = 1/6.   Answer: 1/6.
Answer: B
A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a. What is the greatest two digit prime saturated integer ?
Choices:
A) 99
B) 98
C) 97
D) 96
E) 95

Solution: Clearly D A number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a.   96 has more number of smaller prime factor thats the clue !!=96
Answer: D
If x-1 – 1 is divided by x - 1 the quotient is:
Choose the most appropriate option:  A) 1  B) 1/(x-1)  C) - 1/(x-1)  D) 1/x,  E) – 1/x

Solution: Solution:   x-1 – 1 is divided by (x – 1)   = x-1 – 1 × 1/(x-1)   = 1/x – 1 × 1/(x-1)   = (1 – x/x) × 1/(x-1)   = - (1 – x)/x × 1/(x-1)   = – 1/x [cancel x – 1 from the numerator and denominator].   Answer: – 1/x
Answer: E
Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Choose the correct choice from the following choices:	A) 40 m	B) 72 m	C) 80 m	D) 82 m	E) 84 m

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 44 - 36= 
44 - 36 = 8
8 km/hr.= 8 * 5/18 = 20/9 m/sec.   2x/36 = 20/9 => x = 40.   40 mNSWER:40 m
Answer: A
If two sides of a triangle are 5 and 12, respectively, which of the following could NOT be the area of this triangle? Choices:	A) 1	B) 6	C) 38	D) 29	E) 17

Solution: For this question it would be helpful to know the largest area that this triangle could be, given the two sides of 5 and 12.   We know that the area of a triangle will be maximized when two sides are perpendicular to each other (consult Bunuel's drawing above). Thus we have a max area being equal to one half the base times the height, either (.5)12 * 5 -or- (.5)5 * 12 will result in a maximum area of 30 for the triangle; therefore, the triangle could never have an area of 38.   38
Answer: C
You and your friend spent a total of $11 for lunch. Your friend spent $3 more than you. How much did your friend spend on their lunch?	Choices:
A) $9	B) $3	C) $7	D) $6	E) $5

Solution: My lunch = l, my friends lunch = l+1   (l)+(l+3)=11   l+l+3-3=11-3   2l=8   l=4   My friends lunch l+3 = 4+3= 
4+3 = 7
$7, the answer is $7
Answer: C
The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article?  Choose the correct answer.
A) 2:9  B) 2:7  C) 3:6  D) 2:0  E) 2:1

Solution: Let C.P. = Rs. 7x and S.P. = Rs. 9x.   Then, Gain = Rs. 2x   Required ratio = 2x : 7x = 2:7   Answer:2:7
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr? Choose the most appropriate option
A) 2.5 sec
B) 2.8 sec
C) 8.5 sec
D) 2.2 sec
E) 4.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5 secnswer:2.5 sec
Answer: A
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Choose the correct choice from the following answers
A) 157.78 B) 157.98 C) 157.5 D) 157.19 E) 157.12

Solution: (3500*1.5*3)/100= 
(3500*1.5*3)/100 = 157.5
> 157.50   Answer: 157.5
Answer: C
In how many different number of ways 3 boys and 1 girls can sit on a bench?	Choose the correct option:
A) 24
B) 40
C) 60
D) 78
E) 80

Solution: npn = n!   4p4= 4 × 3 × 2 × 1 = 24   24)
Answer: A
On my sister’s 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous year?	Pick one:
A) 150 cm	B) 140 cm	C) 142 cm	D) 154 cm	E) 160 cm

Solution: Explanation :   Given that height on 15th birthday = 159 cm and growth = 6%   Let the previous year height = x   Then height on 15th birthday = x ×100+6100=x×106100   ⇒159 = x × (106/100)   ⇒x=159×100106=1.5×100=150;cm   150 cmNSWER IS 150 cm
Answer: A
Average of all prime numbers between 25 to 50 Choose the correct option
A) 37	B) 38	C) 39	D) 39.8	E) 40

Solution: Explanation:   Prime numbers between 25 and 50 are:   29, 31, 37, 41, 43, 47   Average of prime numbers between 25 to 50 will be   (29+31+37+41+43+47 / 6)=228 / 6= 
228 / 6 = 38
38   Option 38
Answer: B
Weights of two friends Ram and Shyam are in the ratio 6:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Pick one:
A) 19%	B) 10%	C) 21%	D) 16%	E) None

Solution: Solution:   given ratio of Ram and Shayam's weight = 6:5   Hence, (x-15)/(15-10) = 6/5   Or, x = 21%.   Answer: Option 21%
Answer: C
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
Choose the correct option
A) 246  B) 248  C) 1292  D) 15,128  E) 30,256

Solution: # of 2-letter codes possible from 324 different signs = 324*324.   # of 2-letter codes possible from 322 different signs = 322*322.   The difference = 324^2 - 322^2 = (324 - 322)(324 + 322) = 1292.   Answer: 1292.
Answer: C
If 5 cats can kill 5 rats in 5 minutes, how long will it take 100 cats to kill 100 rats?  Answers.
A) 1 minutes
B) 2 minutes
C) 3 minutes
D) 4 minutes
E) 5 minutes

Solution: It will take 5 minutes for 100 cats to kill 100 rats.   1 cat can kill 1 rat in 5 minutes, so 100 cats can kill 100 rats in 5 minutes   Answer 5 minutes
Answer: E
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? Select
A) Rs.225 B) Rs.288 C) Rs.485 D) Rs.285 E) Rs.282

Solution: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5   SP = CP[(100 + profit%)/100]   = 237.5 * [(100 + 20)/100] = Rs.285.   Answer:Rs.285
Answer: D
If 6x^2 + x - 12 = (qx + b)(cx + d), then |q| + |b| + |c| + |d| =
For a complete solution and more practice problems, see this blog:
http://magoosh.com/gmat/2012/algebra-on ... to-factor/  Choose the correct option:
A) 10	B) 12	C) 15	D) 18	E) 20

Solution: 6x^2+x-12 = 6x^2 + 9x -8x -12   => 3x(2x+3) -4(2x+3)   => (2x+3)(3x-4) = (qx+b)(cx+d)   Hence q=2, b=c=3, d=-4   So, 2+3+3+ |-4| = 2+3+3+4= 
2+3+3+4 = 12
12   Answer 12.
Answer: B
A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15 km toward the right and finally travels 5km towards the east, how far is he from his starting place? Choose the correct choice from the following answers
A) 2
B) 3
C) 4
D) 6
E) 7

Solution: To solve these type of questions, first draw the direction diagram and assume the person is at the intersection point.   From the diagram it is clear that he is 3 km from where he started.   Answer:3
Answer: B
If n = 20! + 15, then n is divisible by which of the following?
I. 15
II. 17
III. 19  Choose the correct choice from the following answers:
A) I only  B) II only  C) III only  D) I and II  E) II and III

Solution: 15 divides 20! so 15 also divides 20! + 15.   17 and 19 divide 20! so they do not divide 20! + 15.   The answer is I only.
Answer: A
Jack has three more cards than Bill. Together they have 47 cards. If x represents the number of cards Bill has, then an equation that can be used to determine the number of cards each one has is
Choose the correct choice from the following answers:
A) x + 3 = 47
B) 2x + 3 = 47
C) x - 3 = 47
D) 2x - 3 = 47
E) 3x + 3 = 47

Solution: Explanatory Answer   Bill has x cards.   Jack has 3 more cards than Bill. So, Jack has x + 3 cards.   So, together Bill and Jack have x + x + 3 = 2x + 3 cards.   The question states that they have 47 cards between them.   So, 2x + 3 = 47.   Answer 2x + 3 = 47
Answer: B
A key ring has 7 keys. How many different ways can they be arranged?
Choose the correct choice from the following:	A) 6	B) 7	C) 5!	D) 6!	E) 7!

Solution: I would like to argue against OA. 7 => 6! circular permutations. Therefore, for a keyring - arrangements = 6!/2   6NS:6
Answer: A
If a class of 10 students has three men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choose the correct choice from the following answers.
A) 3!2!  B) 5!5!  C) 4!4!  D) 10!  E) 10!/5!

Solution: for no two men to sit together, either all are in even or odd position   fix one at any one position then rest four can be fixed in 2! ways...   also rest five position of women can be fixed in 3!..   total ways 3!2!   3!2!
Answer: A
A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price? Choose the correct choice from the following answers
A) 17%
B) 72%
C) 20%
D) 82%
E) 16%

Solution: Original price = 100   20%P = 80   S = 80*(150/100)= 
80*(150/100) = 120
120   100 - 120= 20%   Answer:20%
Answer: C
The number of positive integer solutions for the equation x +y +z + t = 15 is Select:
A) 654 B) 584 C) 384 D) 364 E) 394

Solution: The number of positive integer solutions for the equatio fx1+x2+⋯+xn=k   (k-1)C(n-1)- where k is the number and n is number of variable in the equation.   15-1 C 4-1 = 14C3 = 364   Answer : 364
Answer: D
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
Choose the correct choice from the following choices: A) 112 B) 116 C) 128 D) 175 E) 256

Solution: First Purchased = 250 Wes= 128   128
Answer: C
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 40 years now, the son's age 10 years back was?
Choose the correct choice from the following answers.
A) 12yr
B) 15yr
C) 14yr
D) 10yr
E) 20yr

Solution: Let the son's present age be x years   Then, 40-x = x   x = 20   Son's age 10 years back = 20-10= 
20-10 = 10
10years   Answer is 10yr
Answer: D
A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 10 cents? Choose the most appropriate option.
A) 2
B) 5
C) 8
D) 9
E) 11

Solution: 0.10(x)+0.25(16-x)=2.35   0.10x+4-0.25x=2.35   so x=11   ans is 11
Answer: E
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 5 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?  Answers
A) 4y
B) 5y
C) 3y
D) 8y
E) 9y

Solution: Let $x be the advance that both receive = 5x   Amount earned per hour by John and Mary = x/10 and x/5   Mary gives $y to John to make the wages earned equal   Hence John wage per hr = (x+y)10 which is now equal to Mary's wage (x-y)/5   Solve (x+y)10 = (x-y)/5   5x + 5y = 10x -10y   5x 5  + 5= 
5  + 5 = 10
10x -10y   5x= 15y   x = 3y   Ans. 3y
Answer: C
From a pack of 52 cards, one card is drawn. What is the probability that the card drawn is a queen of club or a king of heart?
Choose the most appropriate option:
A) 1/26 B) 25/26 C) 3/26 D) 1/52 E) 4/52

Solution: Solution   Let S be the sample space. Then,   n(S) = 52C1	= 52.   Let E = event of getting a queen of club or a king of heart.   n(E) = 2C1	= 2.   P(E) = n(E) / n(S)	= 2 / 52   = 1/26.   1/26nswer 1/26
Answer: A
Divide $100 among W,X in the ratio 3:7. How many $ that X get?	Choices
A) $40 B) $50 C) $60 D) $70 E) $80

Solution: Sum of ratio terms = 3+7= 
3+7 = 10
10   X= 100*7/10= 
100*7/10 = 70
$70   Answer is $70
Answer: D
3, 12, 7, 26, 15, ?
Choose the most appropriate option:
A) 34
B) 44
C) 54
D) 64
E) 74

Solution: 3, ,7, ,15   (3*2)+1= 
(3*2)+1 = 7
7   (7*2)+1= 
(7*2)+1 = 15
15   12, ,26, ,?    (12*2)+2= 
 (12*2)+2 = 26
26   (26*2)+2= 
(26*2)+2 = 54
54   ANSWER:54
Answer: C
A box contains 12 marbles of three different colours green, yellow and blue---4 each.
If you were to close your eyes and pick them at random, how many marbles must you take out to be sure that there are at least two of one colour among the marbles picked out?
Pick:
A) 1
B) 4
C) 6
D) 3
E) 7

Solution: B   4   In the first three pickings you may get 1 of each colour, on the 4th pick there will be at least two of one colour.   Therefore, the answer is 4.
Answer: B
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?	Choose the correct choice from the following choices: A) 6 B) 8 C) 1 D) 9 E) 2

Solution: 1/10 + 1/15 - 1/x = 1/18   x = 9   Answer:9
Answer: D
Jim drove 642 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?  Choose the correct choice from the following answers:  A) 113 miles  B) 432 miles  C) 558miles  D) 887 miles  E) 767 miles

Solution: The number of miles to drive to finish his journey is given by   1200 - 642= 
1200 - 642 = 558
558 miles   correct answer 558miles
Answer: C
How many boxes do you need if you have to pack 1080 apples into cases that each hold one dozen apples ?	Choose the correct choice from the following options:
A) 40
B) 60
C) 70
D) 80
E) 90

Solution: E   90   1080 apples = 90 dozens   The required number of boxes = 90.   Answer : 90
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train? Options.
A) 287  B) 699  C) 250  D) 168  E) 150

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 12 = 250 m   Answer: 250
Answer: C
Barbara, Becky and Beth dressed up as princesses for Halloween. One was Snow White. One was Sleeping Beauty. One was Cinderella. Becky is not Sleeping Beauty and she went trick-or-treating with Snow White. Beth and Sleeping Beauty are sisters. Who is Snow White?
Choices:
A) Becky B) Beth C) Barbara D) none E) Mary

Solution: Becky is neither Sleeping Beauty nor Snow White (since Becky went trick-or-treating with Snow White). Therefore, Becky has to be Cinderella.   Beth is neither Sleeping Beauty nor Cinderella (since Becky is Cinderella). Therefore, Beth has to be Snow White.   correct answer Beth
Answer: B