MU-NLPC/Calc-aqua_rat huggingface dataset:
Suppose that we have the following set of equations
log2 x + log3 x + log4 x = 20
log4 y + log9 y + log16 y = 16
Compute logx y.  Choose one:
A) 0.5
B) 1.3
C) 1.6
D) 2.5
E) 0.1

Solution: We rewrite the rst equation as   20 = log2 x + log3 x + log4 x   20 =   log x   log 2   +   log x   log 3   +   log x   log 4   20 = log x (log2 10 + log3 10 + log4 10)   Similarly, we obtain that   16 = log y (log4 10 + log9 10 + log16 10)   16 = log y (log2   p   10 + log3   p   10 + log4   p   10)   16 =   1   2   log y (log2 10 + log3 10 + log4 10)   32 = log y (log2 10 + log3 10 + log4 10)   Dividing both equations by each other, we obtain   32   20   =   log y   log x   log2 10 + log3 10 + log4 10   log2 10 + log3 10 + log4 10   8/5   = logx y=1.6   correct answer 1.6
Answer: C
How much time does a train 160 metres long running at 72 km/hr take to pass a pole?
Pick one:
A) 8s
B) 2.5s
C) 7.5s
D) 7.6s
E) 7.4s

Solution: Explanation:   72 km/hr = 72 * 5/18= 
72 * 5/18 = 20
20 m/s   Speed= distance/time; v = d/t   20 = 160/t   t = 8s   8sNSWER: 8s
Answer: A
4 dice are thrown simultaneously on the board. Find the probability show the same face.  Answers
A) 1/113 B) 1/117 C) 1/216 D) 2/113 E) 2/117

Solution: The total number of elementary events associated to the random experiments of throwing four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let XX be the event that all dice show the same face.   X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}X={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}   n(X)=6n(X)=6   Hence required probability,   =n(X)n(S)=664=n(X)n(S)=664   =1/216   1/216
Answer: C
To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 66. If x, where x <66, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?	Select.
A) 2x+2y=66	B) x+y=66	C) x+2y=66	D) 2x+y=66	E) xy=66

Solution: We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.   Now,after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus{age after y years}+{employment years}=(x+y)+y=x+2y=66.   Answer: x+2y=66
Answer: C
A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?
Choose the correct choice from the following answers
A) 30%	B) 40%	C) 50%	D) 55%	E) 60%

Solution: 50%   50%
Answer: C
The ratio of the ages of a man and his wife is 4:3. After 4 years,the ratio will be 9:7.If at the time of marriage the ratio was 5:3,then how many years ago were they married ?
Pick:
A) 8
B) 10
C) 12
D) 14
E) 15

Solution: let the present ages of the man and his wife be 4x and 3x   then (4x+4)/(3x+4)= 9/7   [since given that after four years their ages will be 9/7]   by solving it we have x=8   so their present ages are 32 and 24 respectively   now suppose if they were married X years ago,   then (32-X)/(24-X)=5/3   by solving it we have 2X=24   so X=12   so they were married 12 years ago   ANSWER:12
Answer: C
The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that x > y?  Choose the correct choice from the following options:
A) 1/8  B) 1/6  C) 3/8  D) 1/2  E) 3/4

Solution: The line y=x divides the circle into two equal areas.   All the points below the line y=x satisfy the condition that x > y.   The answer is 1/2.
Answer: D
The least number which when increased by 8 each divisible by each one of 24, 32, 36 and 54 is :
Choose the correct choice from the following choices:
A) 427
B) 859
C) 869
D) 856
E) None of these

Solution: Solution   Required number = (L.C.M. of 24, 32, 36, 54) - 8 = 864 - 8= 
864 - 8 = 856
856. Answer 856
Answer: D
The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
Choose the correct choice from the following answers
A) 6:9  B) 6:5  C) 6:8  D) 6:2  E) 6:1

Solution: Let the present ages of Anil and his son be 7x and 3x years respectively.   Let the present age of the son's mother be m years.   (m + 6) / (3x + 6) = 2/1   m   + 6= 
  + 6 = 6
6x + 12=> m = 6x + 6   Ratio of the present ages of Anil and the son's mother = 7x / (6x + 6).   This cannot be found uniquely.   Answer:6:2
Answer: D
What will be the remainder when (27^27) + 27 is divided by 28?	Choices
A) 22
B) 20
C) 24
D) 26
E) 28

Solution: x^n + 1 will be divisible by x+1 only when n is odd   27^27+1 will be divisible by 27+1   (27^27+1)+26, when divided by 28 will give 26 as remainder   Answer is 26
Answer: D
A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?	Select the correct option:
A) 205
B) 200
C) 180
D) 195
E) None of these

Solution: Explanation :   Let the required number of seconds be x   More cloth, More time, (direct proportion)   Hence we can write as   Cloth0.128:25}::1:x   ⇒0.128x=25   ⇒x = 25/128 = 25000/128 = 3125/16 ≈ 195. Answer : Option 195
Answer: D
In a recent election, Geoff received 1 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
Choose the correct choice from the following:
A) 50  B) 54  C) 56  D) 60  E) 60.5

Solution: Word problems are tricky in somehow more than other problem because you have the additional step to translate.   Breaking the problem: Geoff how many votes he receives ?? 60 votes   he needs 3571 more votes so :   60+3571= 
  60+3571 = 3_631
3631   Now what's the problem wants ?? a x %........3631 is what % of total votes 6000........translating: 3631= x/100 * 6000 ---> x = 60.51666666   x= 60.5 %..........60.5
Answer: E
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1320, how much does he invest in 12% stock at Rs. 120? Choose the correct choice from the following choices.
A) s. 4000 B) s. 4500 C) s. 5500 D) s. 6000 E) s. 6500

Solution: Let investment in 12% stock be Rs. x.   Then, investment in 15% stock = Rs. (12000 - x).   12/120 * x + 15/125 * (12000- x) = 1320   x/10 + 3/25(12000-x) = 1320   5x + 72000 - 6x = 1320 x 50   x = 6000.   Answer = s. 6000
Answer: D
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?	Choose the correct choice from the following answers
A) 26 sec	B) 28 sec	C) 48 sec	D) 72 sec	E) 12 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 6/125= 
1000 * 6/125 = 48
48 sec.   Answer:48 sec
Answer: C
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?	Choose the correct choice from the following options.
A) 79.7 km/hr
B) 89.2 km/hr
C) 79.3 km/hr
D) 79.2 km/hr
E) 49.2 km/hr

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 264)/20 = y   y = 22   Speed = 22 m/sec = 22 * 18/5= 
22 * 18/5 = 396/5 = around 79.2
79.2 km/hr.   Answer: 79.2 km/hr
Answer: D
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 48 inches. Find b.  Choose the correct choice from the following options.
A) 8	B) 16	C) 24	D) 32	E) 48

Solution: From the info that the maximum sides of the cubes is 4, we know that the GCF of 12 (=2^2*3) and "b" is 4 (=2^2), so "b"=2^x, where x>=2.   From the second premise, we know that the LCM of 12 (2^2*3) and "b" is 48 (2^4*3), so "b"=2^4 or 2^4*3 (16 or 48).   Combining 2 premises shows the answer is 16(16).
Answer: B
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 450 players took part in that tournament.
How many matches were played?  Choose the correct choice:
A) 449 matches.	B) 88 matches.	C) 77 matches.	D) 66 matches.	E) 55 matches.

Solution: Solution:   449 matches.   The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 449 matches were played.   449 matches.nswer 449 matches.
Answer: A
The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Choose the correct choice from the following answers
A) A)46	B) B)45	C) C)66	D) D)76	E) E)74

Solution: 1 to 11 = 11 * 51= 
11 * 51 = 561
561   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 – 561 = 45   Answer:45
Answer: B
W is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in W?
I. 9
II. 15
III. 27 Choices.
A) I only  B) II only  C) I and II only  D) I and III only  E) I, II, and III

Solution: Ans: C   W->{x} where x^2 is a multiple of both 27 and 375 means 3^3 and (5^3)*3   means x must contain 3^2 and 5^2   so with these conditions we know that 9=3^2 and 15=3*5 both have required factors for the divisibility of lowest int for x which is 9*25   but 27 is not a divisor because it can't divide 9*25 fully.   so Ans : I and II only
Answer: C
Tom purchased 8kg of apples at the rate of 70 per kg and 910 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?  Choose the correct choice from the following answers.
A) A)1110  B) B)1045  C) C)1055  D) D)1060  E) E)1075

Solution: Cost of 8 kg apples= 70 × 8 = 560.   Cost of 10 kg of mangoes = 55 × 10 = 550.   Total cost he has to pay = 560 + 550= 
560 + 550 = 1_110
1110.   1110)
Answer: A
Find the surface area of a 8 cm x 6 cm x 2 cm brick.  Choose the correct choice from the following answers
A) 112 cu cm
B) 136 cu cm
C) 164 cu cm
D) 180 cu cm
E) 152 cu cm

Solution: Sol.   Surface area = [2(8 x 6 + 6 x 2 + 8 x 2)]   = (2 x 76)   = 152 cu cm   Answer 152 cu cm
Answer: E
A large box contains 17 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?  Choose one:
A) 250
B) 350
C) 425
D) 550
E) 650

Solution: The number of chocolate bars is equal to   17 * 25= 
17 * 25 = 425
425   correct answer 425
Answer: C
If you multiply all the numbers on your mobile phone except 0 and 9, what is the answer?	Choose the correct answer:
A) 25869
B) 48586
C) 40320
D) 58964
E) 45698

Solution: We have to multiply 1 to 8 to find the answer.   Therefore  1*2*3*4*5*6*7*8= 
 1*2*3*4*5*6*7*8 = 40_320
40320   Answer is 40320
Answer: C
Jamboree and GMAT Club Contest Starts
QUESTION #40:
How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?  Select the correct option:
A) 660 B) 600 C) 500 D) 300 E) 240

Solution: The question is asking the total number of arrangements possible with the letters of the word “SELFIE” where two E’s are not together.   Arrangements when two E’s are not together = Total arrangements - Arrangements when two E’s are together   In total there are 6 letters but two are identical. so we can arrange in 6! ways. but we divide for those objects that are identical. so divide by 2!. Hence,   Total arrangements = 6!/2!   Now two E's are coupled together. Consider this couple (EE) as one letter. apart from this there are 4 more letters. so we can arrange these 5 different objects in 5! ways.   Two E's can arrange themselves in 2! ways, but we divide for those objects that are identical. so divide by 2!. so arrangement for E's would be 2!/2!.   Hence, Arrangements when two E’s are together = 5! * (2!/2!)   Arrangements when two E’s are not together = 6!/2! - 5! = 5! * ( 6/2 -1 ) = 120 * 2= 
120 * 2 = 240
240.   Option 660 is correct!
Answer: A
Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work? Select.
A) 20 days B) 23 days C) 26 days D) 21 days E) 28 days

Solution: A   20 days   (5m + 9w)10 = (6m + 12w)8   => 50m + 90w = 48w + 96 w => 2m = 6w => 1m = 3w 5m + 9w = 5m + 3m = 8m   8 men can do the work in 10 days.   3m +3w 5  + 3= 
5  + 3 = 8
8m   8 men can do the work in 10 days.   3m +3w= 3m + 1w = 4m   So, 4 men can do the work in (10 * 8)/4 3  + 1= 
3  + 1 = 4
4m   So, 4 men can do the work in (10 * 8)/4= 
(10 * 8)/4 = 20
20 days.
Answer: A
In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
Choose the correct choice from the following:	A) 8	B) 12	C) 6	D) 14	E) None of these

Solution: Let the numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10.   Given (x + 2) + (x + 10) = 24   => 2x + 12 = 24 => x = 6   The fourth number = x + 6= 
+ 6 = 6
6 + 6= 
6 + 6 = 12
12.   ANSWER:12
Answer: B
R-R-R-G-G-G-Y-Y-Y-B-R-R-R-G-G-G-Y-Y-Y-B… B-R-R
The preceding is a representation of the different colored beads on a string. The beads follow a repeating pattern and the colors Red, Green, Yellow, and Blue are represented by R, G, Y, and B respectively. Which of the following is a possible number of beads in the missing section of the string represented above?	Choose the correct choice from the following answers:
A) 65
B) 66
C) 67
D) 68
E) 69

Solution: The repeated pattern R-R-R-G-G-G-Y-Y-Y-B has 10 beads.   But the missing section includes R-R-R-G-G-G-Y-Y-Y at the end.   Thus the number of beads in the missing section has the form 10k + 9.   The answer is 69.
Answer: E
The average weight of 12 person's increases by 4 kg when a new person comes in place of one of them weighing 58 kg. What is the weight of the new person?	Choose the correct choice from the following answers:
A) 85  B) 80  C) 95  D) 90  E) 106

Solution: Total increase in weight =12 × 4 = 48   If x is the weight of the new person, total increase in weight = x−58   => 48 = x - 58   => x = 48+58= 
48+58 = 106
106   ANSW106R:106
Answer: E
{1/(4-√15)} =
Choices.
A) a. 16+16√15  B) b. 31- 8√15  C) c. 31+ 8√15  D) d. 32- 4√15  E) e. 4 + √15

Solution: = 1 / (4 - root15)   Multiply numeratordenominator by (4+ root15)   = (4 + root15) / (16-15) = (4 + root15)   Answer = e. 4 + √15
Answer: E
The total marks obtained by a student in Mathematics and Physics is 50 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.  Pick one
A) 40  B) 26  C) 27  D) 35  E) 22

Solution: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.   Given , M + C = 50 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (50 + 20) / 2= 
(50 + 20) / 2 = 35
35.Answer:35
Answer: D
Solution X is 30% chemical A and 70% chemical B by volume. Solution Y is 40% chemical A and 60% chemical B by volume. If a mixture of X and Y is 32% chemical A, what percent of the mixture is Solution X?  Choose the correct choice from the following.
A) 85% B) 80% C) 75% D) 70% E) 65%

Solution: The volume of the mixture be X+Y.   0.3X +0.4Y=0.32(X+Y)   X=4Y   X/(X+Y)=4/5=80%.   The answer is 80%.
Answer: B
In an examination, a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 290 marks, the number of questions he attempts correctly, is:	Choose the correct choice from the following options
A) 60 B) 80 C) 70 D) 45 E) 50

Solution: Let the number of correct answers be x.   Number of incorrect answers = (100 â€“ x).   5x â€“ 2(100 â€“ x) = 290 or 7x = 490 or x = 70.   ANSWER:70
Answer: C
Suppose you flip a fair coin four times. What is the probability that, in four flips, you get at least one head?	Options
A) 13/16
B) 7/16
C) 15/16
D) 21/16
E) 19/16

Solution: Best way of solving an at least 1 type of question is to compute 1 - probability of flipping 0 heads   probability of flipping either a head or a tail = 1/2   probability of flipping 3 tails in a row (1/2)^4   probability of flipping at least 1 head = 1 - (1/2)^4 = 15/16   Answer : 15/16
Answer: C
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?  Choose the correct choice from the following answers.
A) 22.7 kmph  B) 12.7 kmph  C) 27.6 kmph  D) 12.5 kmph  E) 22.1 kmph

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.Answer: 12.5 kmph
Answer: D
A certain collage has total of 300 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?  Pick
A) 100 B) 80 C) 75 D) 60 E) 55

Solution: Answer 55   300 = 225 + 20 + x => x = 55   = 3/4 * 300 in 4 subjects + 20 min for 5th subject + x = 300
Answer: E
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choose the correct choice from the following answers:	A) 3377	B) 1800	C) 2776	D) 1881	E) 1882

Solution: Let the required number of bottles be x.   More machines, More bottles (Direct Proportion)   More minutes, More bottles (Direct Proportion)   Machines	6	:	10 :: 270 : x   Time (in minutes)	1	:	4   6 x 1 x x = 10 x 4 x 270   x =	(10 x 4 x 270)   (6)   x = 1800.   View Answer   Answer: 1800
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%? Options:
A) 20%
B) 29%
C) 70%
D) 27%
E) 28%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer: 20%
Answer: A
If a train, travelling at a speed of 160 kmph, crosses a pole in 9 sec, then the length of train is?  Pick one
A) 281 B) 125 C) 288 D) 266 E) 400

Solution: D = 160 * 5/18 * 9= 
160 * 5/18 * 9 = 400
400 m   Answer: 400
Answer: E
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?	Choose the correct choice from the following options.
A) 22%	B) 24percent	C) 25%	D) 28%	E) 27%

Solution: Total sales =800   Commission = (20/100)*500+ (30/100)*300   =100 + 90= 
100 + 90 = 190
190   %Commission= (190/800)*100=23.7~ 24%   Answer is 24percent
Answer: B
What is the small positive two digit no. divisible by 3 and such that the sum of its digits is 9?  Choose one
A) 10 B) 12 C) 14 D) 18 E) 21

Solution: Let xy be the whole number with x and y the two digits that make up the number. The number is divisible by 3 may be written as follows   10 x + y = 3 k   The sum of x and y is equal to 9.   x + y = 9   Solve the above equation for y   y = 9 - x Substitute y = 9 - x in the equation 10 x + y = 3 k to obtain.   10 x + 9 - x = 3 k   Solve for x   x = (k - 3) / 3   x is a positive integer smaller than 10   Let k = 1, 2, 3, ... and select the first value that gives x as an integer. k = 6 gives x = 1   Find y using the equation y = 9 - x = 8   The number we are looking for is 18 and the answer is D. It is divisible by 3 and the sum of its digits is equal to 9 and it is the smallest and positive whole number with such properties.
Answer: D
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is: Pick one.
A) 4000 B) 6000 C) 8000 D) 10000 E) None of these

Solution: Total expenditure = 40 + 25 + 15 + 5= 
40 + 25 + 15 + 5 = 85
85%   Saving= (100 - 85)= 
(100 - 85) = 15
15%   15/100 × Salary= 1500, Salary = 10000 Rs.   Answer:10000
Answer: D
Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $20.00 each, what was Company C’s gross profit?  Choose the correct choice from the following answers:
A) $7,250
B) $8,500
C) $8,100
D) $8,250
E) $8,600

Solution: $8,100ost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400= 
500 + 1400 = 1_900
$ 1900   Revenue :  500 * 20= 
 500 * 20 = 10_000
$10000   Profit:   10000 - 1900= 
  10000 - 1900 = 8_100
$ 8100   Option $8,100 is correct
Answer: C
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?	Select:
A) 38008
B) 38000
C) 38005
D) 38001
E) 38002

Solution: CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer: 38000
Answer: B
Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?  Pick one
A) 56 pens B) 76 pens C) 75 pens D) 98 pens E) 45 pens

Solution: Let the number of pens that A, B, C and D get be a, b, c and d respectively.   a : b = 2 : 1   a = c + 25   b : c = 2 : 3   a : b : c : d = 4 : 2 : 3 : 3   a,d get 4p, 3p pens   => 4p - 3p = 25 (given)   p = 25   => D gets 3p = 3 * 25= 
3 * 25 = 75
75 pens.   Answer:75 pens
Answer: C
A certain industrial loom weaves 0.129 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
Options:  A) 114  B) 115  C) 116  D) 117  E) 118

Solution: Let the required number of seconds be x   More cloth, More time, (direct proportion)   Hence we can write as   (cloth) 0.129 : 15 :: 1 : x   =>0.129*x=15   =>x=15/0.129   =>x=116   ANSWER:116
Answer: C
In a sports club with 30 members, 18 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?	Choose the correct option
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: Let x play both badminton and tennis so 18-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,   (18-x)+(19-x)+x+2=30   39-2x+x=30   39-x=30   x=9   So 9 members play both badminton and tennis.   9
Answer: C
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Pick one
A) 12	B) 99	C) 20	D) 88	E) 21

Solution: 1/x + 1/(x + 10) = 1/12   x = 20   Answer: 20
Answer: C
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Choose the correct choice from the following answers
A) Rs.2520
B) Rs.3120
C) Rs.3320
D) Rs.2760
E) None of these

Solution: Let A be the amount received at the end of the three years.   A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]   A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.7920   So the interest = 7920 - 4800 = Rs.3120   ANSWER:Rs.3120
Answer: B