MU-NLPC/Calc-aqua_rat huggingface dataset:
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?	Choose one:	A) 65 degrees	B) 73 degrees	C) 37 degrees	D) 34 degrees	E) 74 degrees

Solution: M + Tu + W + Th = 4 * 48= 
4 * 48 = 192
192   Tu + W + Th + F= 4 * 46= 
4 * 46 = 184
184   M= 42   Tu + W + Th = 192 -42= 
192 -42 = 150
150   F= 184 – 150 = 34   Answer:34 degrees
Answer: D
The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?	Choose the correct choice from the following choices:
A) 46 cm2  B) 42 cm2  C) 29 cm2  D) 25 cm2  E) 40 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 * 32/2= 
2.5 * 32/2 = 40
40 cm2   Answer: 40 cm2
Answer: E
If two positive numbers are in the ratio 1/10 : 1/7, then by what percent is the second number more than the first?
Pick one.
A) 67%. B) 42.8%. C) 60%. D) 68%. E) 80%.

Solution: Given ratio = 1/10 : 1/7 = 7 : 10   Let first number be 7x and the second number be 10x.   The second number is more than first number by 3x.   Required percentage = 3x/7x * 100 = 42.8%.   Answer: 42.8%.
Answer: B
How many integers between 100 and 180, inclusive, cannot be evenly divided by 3 nor 5?	Select the correct option.
A) 39 B) 41 C) 43 D) 45 E) 47

Solution: The total numbers between 100 and 180, inclusive, is 81.   3*34= 
3*34 = 102
102 and   3*60= 
  3*60 = 180
180 so the number of multiples of 3 is 27.   5*20= 
5*20 = 100
100 and   5*36= 
  5*36 = 180
180 so the number of multiples of 5 is 17.   However, the multiples of 15 have been counted twice.   15*7= 
15*7 = 105
105 and   15*12= 
  15*12 = 180
180 so the number of multiples of 15 is 6.   Thus the total number is  81-27-17+6= 
 81-27-17+6 = 43
43.   The answer is 43.
Answer: C
Two digits number is divided by the product of their digit and the result is 3.now 18 is added to the number the digit will be inter changed. what is the number.  Choose one:	A) 16	B) 18	C) 20	D) 22	E) 24

Solution: Let tenth digit of the number is X and Unit digit of that number is Y, Then the number will be (10X +Y).   Now According to question,   (10X +Y)/XY = 3   (10X +Y) = 3XY --------------------------- (1)   And,   10X +Y +18 = 10Y +X   Y -X = 2 ------------------------------------ (2)   Y = 2 +X ------------------------------ (3)   On solving all the equations, we get number is 24.   answer : 24
Answer: E
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choose the correct choice from the following answers
A) 5/9
B) 5/12
C) 1/36
D) 7/12
E) 4/9

Solution: Using question number 11 and 12, we get the probability as   1 - (1/36 + 5/9) = 5/12   ANSWER:5/12
Answer: B
Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?  Pick
A) 11	B) 10	C) 28	D) 27	E) 12

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 300 / (15 + 25)5/18 = 300* 18 / 40 * 5 = 27 seconds.   Answer: 27
Answer: D
Two employees X and Y are paid a total of Rs. 800 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?  Choose the correct choice from the following answers:	A) s.200.63	B) s.250.63	C) s.290.63	D) s.300.63	E) s.363.63

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 800   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 800   ⇒ y[12/10 + 1] = 800   ⇒ 22y/10 = 800   ⇒ 22y = 8000   ⇒ y = 8000/22 =Rs.363.63   s.363.63)
Answer: E
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choose the correct option
A) 399	B) 267	C) 350	D) 788	E) 277

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer:350
Answer: C
How many ltrs of water must beadded to 16ltrs of milk and water containing 10% water to make it 20% water in it?	Choose the correct choice from the following answers: A) 1 liter B) 2 liter C) 3 liter D) 5 liter E) 7 liter

Solution: 2 litery rule of alligation,   % Concentration   of water in pure water (100) % Concentration   of water in the given mixture (10)   Mean % concentration   (20)   20 - 10= 
20 - 10 = 10
10 100 - 20= 80   => Quantity of water : Quantity of the mixture = 10 : 80 = 1 : 8   Here quantity of the mixture = 16 litres   => Quantity of water : 16 = 1 : 8   => Quantity of water =16×18=2 liter   2 liter
Answer: B
If log12 27 = a, then log6 16 is:
Choose one:  A) (3-a)/4(3+a)  B) (3+a)/4(3-a)  C) 4(3+a)/(3-a)  D) 4(3-a)/(3+a)  E) 5(3-a)/(3+a)

Solution: log12 27 = a => log 27/ log 12 = a   => log 33 / log (3 * 22) =a   => 3 log 3 / log 3 + 2 log 2 = a => (log 3 + 2 log 2)/ 3 log 3 = 1/a   => (log 3/ 3 log 3) + (2 log 2/ 3 log 3) = 1/3   => (2 log 2)/ (3 log 3) = 1/a – 1/3 = (3-a)/ 3a   => log 2/ log 3= (3-a)/3a => log 3 = (2a/3-a)log2   log16 16 = log 16/ log 6 = log 24/ log (2*3) = 4 log 2/ (log 2 + log 3)   = 4(3-a)/ (3+a)   ANSWER:4(3-a)/(3+a)
Answer: D
The average age of a class of 12 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?  Choose the correct answer
A) 40 years
B) 34 years
C) 42 years
D) 43 years
E) 44 years

Solution: If age of the teacher was 12, average would not have changed.   Since average increased by 2,   Age of the teacher=12+22×1=34   ANSWER:34 years
Answer: B
A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Answers.
A) 1250m/min	B) 1360m/min	C) 2560m/min	D) 1670m/min	E) 1890m/min

Solution: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify   75 kilometers per hour = 75 km/hr   = (75 × 1000 meters) / (60 minutes) = 1,250 meters / minute   correct answer is 1250m/min)1250m/min
Answer: A
For how many prime pairs (p, q) does there exist an integer n such that
(p2 + 1)*(q2 + 1) = n2 + 1 ?	Choose one:	A) 2	B) 4	C) 6	D) 8	E) infinitely many

Solution: First, we show that one of p and q is 2. If both p and q are odd, then n2 + 1 = (p2 + 1)(q2 + 1)   is even so that n is also odd. Hence, there is an integer t such that n = 2t + 1 so that n2 + 1 =   4t2+4t+2. But this means n2+1 is not divisible by 4 whereas (p2+1)(q2+1) clearly is. Thus, we   must have one of p or q is 2. We now have n2 + 1 = 5(x2 + 1) where either x = p or x = q. Note   that x 3. We deduce that 5x2 = n2 − 4 = (n − 2)(n + 2). Since x is prime and n + 2 > n − 2,   we obtain that n−2 2 {1, 5, x} and n+2 = 5x2/(n−2). Since also (n+2)−(n−2) = 4, we get   that one of 5x2 − 1, x2 − 5 and 4x equals 4. As x is prime, we obtain x = 3. Thus, (p, q) = (2, 3)   or (3, 2). Each pair gives a solution to the equation n2+1 = (p2+1)(q2+1), implying the answer.   correct answer 2
Answer: A
Each shelf of a bookcase contained 11 books. If the librarian took out 30 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 5 books, how many shelves does the bookcase have?	Choose the correct choice from the following:
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: Let x be the number of shelves.   11x - 30 = 7(x-1) + 5   4x = 28   x = 7   The answer is 7.
Answer: C
If k and y are integers, then ky(k + y) is
Choose the correct choice from the following choices
A) Always positive B) Always negative C) Positive when k is positive D) Negative when k is negative E) It cannot be determined by the information given

Solution: Given k and y are integers, then ky(k + y)   Let's take even as 2 / -2 and odd as 3 / -3..we get the following.. and IMO option D is correct answer..   I presume its Option E if am not missing anything.   k=-3 and y=1   ky(k + y) is positive = 6
Answer: E
There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is	Choose the correct answer:
A) 5 B) 21 C) 33 D) 60 E) 40

Solution: Given the constraints of this question, we have to consider 6 possible outcomes...   1 green ball: 6 options   GRRRRR   RGRRRR   RRGRRR   RRRGRR   RRRRGR   RRRRRG   2 green balls: 5 options   GGRRRR   RGGRRR   RRGGRR   RRRGGR   RRRRGG   3 green balls: 4 options   GGGRRR   RGGGRR   RRGGGR   RRRGGG   4 green balls: 3 options   GGGGRR   RGGGGR   RRGGGG   5 green balls: 2 options   GGGGGR   RGGGGG   6 green balls: 1 option   GGGGGG    6+5+4+3+2+1= 
 6+5+4+3+2+1 = 21
21 options.   21
Answer: B
If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a? Answers.
A) 22	B) 11	C) 9	D) 6	E) 3

Solution: 18^a) * 9^(3a – 1)= (2^3)(3^b)   = 2^a . 9^a . 9^(3a – 1) = (2^3)(3^b)   Just compare powers of 2 from both sides (no need to calculate powers of 3, 9 as value of b is not asked)   Answer = 3   ANSW3R:3
Answer: E
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?	Choose the correct choice from the following.
A) 120  B) 180  C) 200  D) 280  E) 300

Solution: 80* 7: x* 3 = 1:1 1/2   560: 3x = 2: 3   x = 280   ANSWER:280
Answer: D
If 40% of a number is equal to 2/3 of another number, what is the ratio of first number to the second number?  Choose the correct choice from the following answers:
A) 5/3
B) 3/5
C) 3/7
D) 5/7
E) 7/9

Solution: Let 40% of 5/3 = 2/3 B   Then, 40*5/3/100 = 2 *B /3   5/3/B = 5/3   5/3ns- 5/3
Answer: A
If n is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
.  Pick one:
A) √n + 1	B) n + 1	C) n^2 + 1	D) n + 2√n + 1	E) n^2 + 2n + 1

Solution: Let a= +ve integer such that   n= a^2   (a+1)= next +ve integer   (a+1)^2 = a^2 + 1 + 2a   and a=n^(1/2)   Therefore ,   (a+1)^2=n+1+2*n^(1/2)   Answer n + 2√n + 1
Answer: D
A bag contains 5 red, 6 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red? Options.
A) 2/15
B) 2/21
C) 5/26
D) 3/29
E) 4/27

Solution: P(2/21oth are red),   =5C215C2=5C215C2   =10/105=2/21   2/21
Answer: B
For a certain set of numbers, if x is in the set, then x - 2 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?
a) -4
b) -1
c) -5 Choose the correct choice from the following choices
A) a only, B) b only, C) c only, D) a and b only E) b and c only

Solution: Notice that the question asks which of the following MUST be in the set, not COULD be in the set.   Since 1 is in the set, then so must be 1-2=-1. Similarly, since -1 is in the set, then so must be -1-3=-4. Could 4 and -1 be in the set? Certainly, but we don't know that for sure.   Answer: D.   Regarding your question: we don't know which is the source integer in the set, if it's 1, then 4 won't be in the set but if the source integer is say 7, then 4 will be in the set. So, 4 may or may not be in the set.
Answer: D
Excluding stoppages, the speed of a bus is 64 kmph and including stoppages, it is 50 kmph. For how many minutes does the bus stop per hour?	Choices:
A) 15.5
B) 12.3
C) 10.5
D) 10.12
E) 13.12

Solution: Due to stoppages, it covers 14 km less.   Time taken to cover 14 km = ((14/64)Ã—60) = 13.12 min.   Option(13.12) is correct
Answer: E
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?  Options
A) 37 cm  B) 10 cm  C) 17 cm  D) 88 cm  E) 87 cm

Solution: 30 * 20 * x = (8 * 5.5 * 1.5)/2   \Answer:10 cm
Answer: B
If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 2d =	Select the correct option:  A) 540  B) 570  C) 619  D) 649  E) 700

Solution: Before Price increase Price = d   After 30% Price increase Price = d+(30/100)*D = 1.3d = 351 (Given)   i.e. d = 351/1.3= 
351/1.3 = 270
$270   i.e. 2d= 2*270= 
2*270 = 540
540   540nswer: option 540
Answer: A
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 21 liters of drink A to convert it to drink B?
Choose the correct choice from the following answers.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: In 21 liters of drink A, there are 12 liters of milk and 9 liters of juice.   With 12 liters of milk, we need a total of 16 liters of juice to make drink B.   We need to add 7 liters of juice.   The answer is 7.
Answer: E
A is half good a work man as B and together they finish a job in 10 days. In how many days working alone B finish the job?  Choose the correct option:  A) 98 days  B) 21 days  C) 17 days  D) 18 days  E) 15 days

Solution: WC = 1:2   2x + x = 1/10 => x = 1/30   2x = 1/30 => 15 days   Answer:15 days
Answer: E
If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to? Choose the correct choice from the following options:	A) a.36000	B) b.37000	C) c.38000	D) d.39000	E) e.40000

Solution: 1% is quite small and hence the answer is a.36000)
Answer: A
We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 120 inches and the width is 108 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?	Choose the most appropriate option:
A) a 125
B) b 120
C) c 70
D) d 40
E) e 10

Solution: l = 120 /12= 
120 /12 = 10
10 ft   w= 108 / 12= 
108 / 12 = 9
9 ft   a 125rea of paper= 90   a 125rea of cube = 10 * side^2   side of cube = 5   V of cube = 125
Answer: A
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit Q on this shipment?	Choices:	A) a) $100	B) b) $115	C) c) $125	D) d) $130	E) e) $135

Solution: I recommend one should use fractions to solve this one rather than converting it into decimals   Sol:   1500 heads -> $600   1 head -> $600/1500   1 head -> $(2/5)   25% more of (2/5) -> 125/100 * 2/5 = $(1/2)   He sold   2/3*1500= 
  2/3*1500 = 1_000
1000 heads for $(1/2) per head   Total revenue by selling 1000 heads= 1000 * 1/2= 
1000 * 1/2 = 500
$500   Heads left: 500   c) $125ost per head: 90% of the previous price: 90/100 * 1/2= $(9/20)   Total revenue by selling 500 heads = 9/20 * 500= 
9/20 * 500 = 225
225   Total revenue after selling 1500 cabbage heads - 225+500= $725   Money spent on the purchase: $600   Profit Q= 725-600= 
725-600 = 125
$125   Ans:c) $125
Answer: C
Two unbiased coins are tossed. What is the probability of getting two heads?
Choose the correct answer:
A) 1/2	B) 1/4	C) 2/3	D) 1/5	E) 2/7

Solution: S = {HH, HT, TH, TT}   E = event of getting 2 heads   E = {TT}   P(E) = 1/4   Answer is 1/4
Answer: B
If r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of r ?  Choices: A) 10 B) 12 C) 14 D) 16 E) 18

Solution: Answer is C.   numbers in format of 3^k in the series from 1 to 30 inclusive r are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.
Answer: C
What is the total cost of 2 sandwiches at $2.45 each and 4 sodas at $0.87 each? Choose the correct choice from the following answers.
A) $8.38
B) $6.85
C) $8.46
D) $10.08
E) $11.85

Solution: $8.38nswer = $8.38   2 * 2.45 + 4 * 0.87   = 2 (2.50 - 0.05) + 4 (1.00 - 0.13)   = 5 + 4 - 0.1 - 0.52   = 9 - 0.62= 
9 - 0.62 = 8.38
8.38
Answer: A
A,B,C can complete a piece of work in 3,9and 15 days respectively. Working together, they will complete the same work in how many days?
Choose the correct choice from the following.
A) 45/23 B) 55/23 C) 61/57 D) 12/13 E) 22/23

Solution: (45/23+B+C)'s 1day work = (1/3)+(1/9)+(1/115) = 23/45   45/23,B,C together will complete the work in 45/23 days   45/23nswer is 45/23
Answer: A
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?	Choose the correct choice from the following options:
A) Rs.7500 B) Rs.7503 C) Rs.7227 D) Rs.7528 E) Rs.1281

Solution: Explanation:   P = (d * 1002) / R2   => (48 * 100 * 100) / 8 * 8 = Rs.7500   Rs.7500nswer: Rs.7500
Answer: A
What is the remainder when the number T=14^2 * 15^8 is divided by 5?	Choose the correct choice
A) 0
B) 1
C) 2
D) 4
E) 5

Solution: 14^2 has units digit 6   15^8 has units digit 5   Thus T=14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero   0nswer: (0)
Answer: A
How many 2 digit number contain number 3 ?
Select the correct option.
A) 18	B) 28	C) 38	D) 68	E) 58

Solution: total 2 digit no. = 9*10* = 90   not containing 3 = 8*9= 
8*9 = 72
72   total 2 digit number contain 3= 90 - 72= 
90 - 72 = 18
18   18NSWER:18
Answer: A
Half a number plus 6 is 11.What is the number? Choose the most appropriate option:
A) 8
B) 9
C) 10
D) 11
E) 12

Solution: Let x be the number. Always replace "is" with an equal sign   (1/2)x + 6 = 11   (1/2)x = 11 - 6   (1/2)x = 5   x = 10   correct answer is 10
Answer: C
If 50 percent of the members of a certain organization are women and 5/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization.	Options:
A) I	B) II	C) III	D) I,II & III	E) I,II

Solution: 5/10 (50%) of the members are women and 5/8 of the members are married men. Let the total numbers of members is 80 (the LCM of 10 and 8). Then there are:    5/10*80= 
 5/10*80 = 40
40 women;    80 - 40= 
 80 - 40 = 40
40 men;     5/8*40= 
  5/8*40 = 25
25 married men;    40 - 25= 
 40 - 25 = 15
15 unmarried men.   So, option I,II is true.   Answer: I,II
Answer: E
If A and B are Two +ve integers and A ≠0 and B ≠0 which can be the following CAN equal to Zero?
Choose the correct choice from the following options:
A) A+B	B) A-B	C) A/B	D) A*B	E) A^2+B

Solution: (A) The option A should be the answer.   If A=B,A-B=0   The other Options can't be answer. A-Because A and A-B must be an +ve numbers and not be zero.
Answer: B
What is the present worth of Rs. 264 due in 2 years at 5% simple interest per annum?  Answers.
A) 128
B) 277
C) 120
D) 240
E) 171

Solution: Let the present worth be Rs. x. Then,   S.I. = (264 - x)   (x * 5 * 2) / 100 = (264 - x)   10x = 26400 - 100x   110x = 26400 => x = 240.   Answer: 240
Answer: D
Matt is touring a nation in which coins are issued in two amounts, 2¢ and 5¢, which are made of iron and copper, respectively. If Matt has five iron coins and fiveteen copper coins, how many different sums from 1¢ to 160¢ can he make with a combination of his coins?	Pick one:
A) 80  B) 85  C) 81  D) 160  E) 157

Solution: The total sum is 5*2 + 15*5= 
5*2 + 15*5 = 85
85¢. If you can make each sum from 1 to 85 (1¢, 2¢, 3¢, ..., 85¢), then the answer would be 85 (maximum possible).   Now, with 2¢ and 5¢ we cannot make 1¢ and 3¢. We also cannot make 84¢ and 82¢ (since total sum is 85¢ we cannot remove 1¢ or 3¢ to get 84¢ or 82¢).   So, out of 85 sums 4 are for sure not possible, so the answer must be   85 - 4= 
  85 - 4 = 81
81 sums or less. Only A fits.   Answer: 81.
Answer: C
A ladder 30 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 10 feet from the base of the wall. If the top of the ladder slips down 5 feet, how many feet will the bottom of the ladder slip? Choose the most appropriate option:
A) 14  B) 15  C) 18.92  D) 19  E) 25

Solution: 30^2-10^2=800   it means that the height is equal to 28.28.   since the top of the ladder slips down 5 feet, then the height of the wall =28.28-5= 
28.28-5 = 23.28
23.28   the bottom=sqrt(30^2-23.28^2)=sqrt(900-541.95)=18.92   ans is 18.92
Answer: C
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choose the correct choice from the following:
A) 5:1
B) 5:6
C) 5:2
D) 5:8
E) 5:2

Solution: Let the amount lent at 7% be Rs. x   Amount lent at 10% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 7/100 x + 10/100 (6000 - x) = 600 - 3x/100   => 600 - 3/100 x = 450 => x = 5000   5:1mount lent at 10% = 1000   Required ratio = 5000 : 1000 = 5:1   5:1nswer:5:1
Answer: A
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Choose one
A) 6 B) 9 C) 5 D) 1 E) 4

Solution: S = 1   M = x   DS = x + 1   US = x - 1   35/(x + 1) + 35/(x - 1) = 12   x = 6   6nswer: 6
Answer: A
In the seaside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?  Choices:  A) 50.  B) 45.  C) 40.  D) 30.  E) 25.

Solution: Given there are 50 students In the seaside summer camp , 90% of 50 = 45 boys and remaining 5 girls.   Now here 90% are Boys and 10% are Girls.   Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..   If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.   Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).   IMO option 50. is correct.
Answer: A
If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?
Choose the correct choice from the following options
A) 60	B) 28	C) 26	D) 17	E) 81

Solution: Explanation:   When P scores 80, Q scores 64.   When R scores 80, P scores 60   Hence, when R scores 150, Q scores  (60 * 64 * 150) / (80 * 80)= 
 (60 * 64 * 150) / (80 * 80) = 90
90   Therefore, in a game of 150, R can give 60 points to Q.   60NSWER: 60
Answer: A
The remainder when 1!+2!+3!...+50! divided by 8! will be	Select
A) 21  B) 5193  C) 77  D) 9275  E) 19

Solution: The remainder when the terms greater than 8! are divided by 8! becomes 0 so we need to consider the terms upto 7!.   So remainder will be whatever is obtained by dividing 1!+2!+3!+4!+5!+6!+7! with 8!.   So remainder is obtained by dividing (1+2+6+24+120+720+5040)= 5193 with 8! ( 40320)   So remainder is 5193.   Answer:5193
Answer: B
In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $24,000, by how much will the property tax increase?  Choose the correct option:
A) $32 B) $50 C) $320 D) $400 E) $500

Solution: Increase in house value = $24,000 - $20,000 =$4000   So, tax increase = 10% of$4000= $400   Answer: $400
Answer: D