MU-NLPC/Calc-aqua_rat huggingface dataset:
If n is a positive integer, then n(n+1)(n+2) is even without any condition
Choose the correct option.
A) divisible by 3 only when n is odd	B) divisible by 4 whenever n is even	C) odd whenever n is odd	D) even only when n is odd	E) even only when n is even

Solution: n*(n+1)*(n+2)= +ve even integer divisible by 4 ( e.g 6,7&8)   divisible by 4 whenever n is even
Answer: B
In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 28 play both table tennis and cricket 30 play. Badminton and cricket and
16 students play all the sports. How many students play only cricket ?	Choose the correct option:  A) 36  B) 38  C) 39  D) 47  E) 41

Solution: P41RSONS PLAY CRICK41T ONLY=N(C)-N(B∩C)+N(C∩T)-2(N(B∩T∩C))   =75-30+28-(2*16)= 
75-30+28-(2*16) = 41
41   ANSW41R:41
Answer: E
A car covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?  Pick:
A) ratio 2:3
B) ratio 1:5
C) ratio 1:10
D) ratio 9:13
E) ratio 7:15

Solution: Ratio of speeds = (200/60) 18/5 : 60*100/50 = 12:120 = 1:10   Answer is ratio 1:10
Answer: C
If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital), then out of a profit of Rs.4650, C will receive: Select the correct option:	A) Rs.2250	B) Rs.1550	C) Rs.900	D) Rs.465	E) Rs.565

Solution: 4A = 6B = 10C = k => A = k/4, B = k/6 and C = k/10.   Therefore, A : B : C = k/4 : k/6 : k/10 = 15 : 10 : 6   Therefore, C’s share = Rs. 4650* 6/31   = Rs.900.   ANSWER:Rs.900
Answer: C
Jim is now 18 years older than Betty. If in 8 years Jim will be twice as old as Betty, how old will Jim be in 4 years?	Choose the correct answer:  A) 30  B) 32  C) 34  D) 36  E) 38

Solution: J=B+18 so B=J-18.   J+8=2(B+8).   J+8=2(J-18+8).   J+8=2J-20.   J=28.   In 4 years, Jim will be 32 years old.   The answer is 32.
Answer: B
A car covers a distance of 642 km in 6 ½ hours. Find its speed?  Answers.
A) 104 kmph  B) 176 kmph  C) 298 kmph  D) 186 kmph  E) 107 kmph

Solution: 642/6= 
642/6 = 107
107 kmph   Answer:107 kmph
Answer: E
John and Lewis leave Chennai for Bangalore simultaneously at 6 P.M in the evening driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 140 miles, how far from Chennai did John and Lewis meet?	Choose the correct choice from the following choices:
A) 110 miles
B) 130 miles
C) 100 miles
D) 125 miles
E) 25 mlies

Solution: Time taken by Lewis to reach Bangalore = 140/70= 
140/70 = 2
2 hours   In 2 hours, John travels   50*2= 
  50*2 = 100
100 miles   So distance at which they meet should be greater than 100 miles.   Only C satisfies.   Answer is 100 miles.
Answer: C
The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas? Pick one:
A) 3:2  B) 2:3  C) 1:6  D) 6:1  E) None of these

Solution: Explanation :   As a triangle has 3 sides and a regular hexagon has 6 sides , so the length of sides of triangle (let 2A) will be twice than that of Hexagon (let A)   A regular hexagon can be divided into 6 nos of equilateral triangles of side A.   As side of bigger triangle is double its area will be square of it i.e 4 times the smaller triangle.   Therefore Ar. of Trinagle : Ar. of Hexagon = 4X : 6X = 2:3   Answer : 2:3
Answer: B
If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?	Choose the correct answer:
A) 4:9 B) 4:3 C) 3:7 D) 2:5 E) 1:6

Solution: The ratio of bananas to cucumbers is 1 to 3 which equals 3 to 9.   The ratio of apples to bananas to cucumbers is 4 to 3 to 9.   The answer is 4:9.
Answer: A
Ajay working in a Cellular company as a salesman. His monthly salary is Rs. 200. But he gets bonus as per given rule. If he sells simcards of Rs. X then his bonus will be [(x /100)2 +10]. In the first quarter of the year his average sale was Rs. 3000 per month. In the next 5 five month his average sale was Rs. 5000 per month and for next four month his average sale was Rs. 8000 per month. What is the average earning per month for the whole year?
Choose one:
A) Rs. 3350  B) Rs. 3610  C) Rs. 3750  D) Rs. 3560  E) None of these

Solution: Solution: Bonus for the first three month,   = [(3000 /100)2 +10] *3   = Rs. 2710.   Bonus for the next five month,   = [(5000 /100)2 +10] *5   = Rs. 12550.   Bonus for the next four month,   = [(8000 /100)2 +10] *4   = Rs. 25640.   Total earning as bonus for whole year,   = 2710 + 12550 +25640   = Rs. 40900.   His average bonus = 40900 /12 = Rs. 3410   Thus his average earning for whole year,   = 3410 + 200= 
3410 + 200 = 3_610
Rs 3610.   Answer: Option Rs. 3610
Answer: B
Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 126, how many more green disks than blue disks are in the bag? Select the correct option:
A) 25
B) 28
C) 30
D) 35
E) 40

Solution: Let B:Y:G = 3x:7x:8x.   3x + 7x + 8x = 18x 3  + 7  + 8= 
3  + 7  + 8 = 18
18x= 126 --> x= 7.   G - B = 8x - 3x = 5x 8  - 3= 
8  - 3 = 5
5x= 35.   The answer is 35.
Answer: D
we have 6 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 10 kg one of 50 kg by using only four weight how many weight you can weight
Select
A) 15
B) 25
C) 14
D) 16
E) 18

Solution: select 6 weight out of 4, 6C4=15   15NSWER:15
Answer: A
The unit digit in the product 3421*6721*4584*6784 is? Choose the correct choice
A) 0  B) 1  C) 6  D) 3  E) 4

Solution: Unit digit in the given product = unit digit in 1*1*4*4 = 6   Answer is 6
Answer: C
A boy has Rs. 640 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the most appropriate option:
A) 90
B) 110
C) 140
D) 130
E) 120

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 640   16x = 640   x = 40.   Hence, total number of notes = 3x = 120.   120
Answer: E
P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q's share? Choose the correct answer:
A) 114	B) 120	C) 134	D) 144	E) None of these

Solution: Explanation :   The ratio of their initial investment = 1/2 : 1/3 : 1/4   = 6 : 4: 3   Let's take the initial investment of P, Q and R as 6x, 4x and 3x respectively   A:B:C = (6x * 2 + 3x * 10) : 4x*12 : 3x*12   = (12+30) : 4*12 : 3*12   =(4+10) : 4*4 : 12   = 14 : 16 : 12   = 7 : 8 : 6   B's share = 378 * (8/21) = 18 * 8= 
18 * 8 = 144
144. Answer : Option 144
Answer: D
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choose the correct choice from the following answers.
A) 52 kmph B) 54 kmph C) 60 kmph D) 64 kmph E) 70 kmph

Solution: Explanation:   S = 240/16 * 18/5= 
240/16 * 18/5 = 54
54 kmph   Option 54 kmph
Answer: B
The sum of 11 consecutive integers is 1111. What is the greatest integer in the set?
Choose one:
A) 100  B) 102  C) 104  D) 106  E) 108

Solution: Let x be the first integer in the set, then x+10 is the largest integer.   The sum is: x+(x+1)+(x+2)+...+(x+10)   = 11x + 10*11/2   = 11(x+5)   Then x+5=101   x=96   The largest integer in the set is  96+10= 
 96+10 = 106
106   The answer is 106.
Answer: D
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother two years younger to her was born. What is the difference between the ages of her parents?
Answers:	A) 2 years	B) 4 years	C) 6 years	D) 7 years	E) 8 years

Solution: Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 2)= 
(38 + 2) = 40
40 years.   Required difference= (40 - 36)= 
(40 - 36) = 4
4 years.   Answer: Option 4 years
Answer: B
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 10 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price? Choose the correct choice from the following answers.
A) 61
B) 65
C) 75
D) 45
E) 40

Solution: Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:   Assuming x motorcycles were sold every month initially.   (568000/x + 1000)(x-10) = 594000   (568/x + 1)(x-10) = 594   Now 568 = 8*71   Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.   We get  9*66= 
 9*66 = 594
594 (matches)   So he will sell  71 - 10= 
 71 - 10 = 61
61 bikes this month   61nswer (61)
Answer: A
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 40 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?  Choose the correct option:
A) 16	B) 18	C) 20	D) 24	E) 30

Solution: Time taken = Total Distance / Relative Speed   Total Distance = 40 kms   Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4= 
6+ 4 = 10
10 kms/hr   Time taken= 40 / 10= 
40 / 10 = 4
4 hrs   Distance traveled by Brad= Brad's speed * time taken = 6 * 4= 
6 * 4 = 24
24 kms... Answer - 24
Answer: D
A pet store holds cats and dogs. If the difference between the number of cats and the number of dogs is 17. What could be the ratio of Cats to dogs in the pet store?	Choose the correct choice
A) 1:3  B) 1:4  C) 1:5  D) 2:5  E) 68:85

Solution: Say theratioof cats to dogs is a/b. Then thenumberof cats would be ax and thenumberof dogs bx, for some positive integer x.   We are told that ax - bx = 17 --> x(a - b) = 17. Since 17 is a prime number it could be broken into the product of two positive multiples only in one way: x(a - b) = 1*17.   The above implies that either x = 1 and (a - b )= 17 or x = 17 anda - b = 1.   Therefore the correct answer should have the difference between numerator and denominator equal to 1 or 17.   For the original question only option which fits is E, 4:5. Cats = 17*4= 
17*4 = 68
68 and dogs= 17*5= 
17*5 = 85
85.   Answer: 68:85.
Answer: E
15 litres of mixture contains 25% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be?  Choose the correct choice from the following choices: A) 20.83% B) 23% C) 18.3% D) 19.75% E) 21.23%

Solution: Alcohol in the 15litres of mix. = 25% of 15litres = (25*15/100)= 
(25*15/100) = 15/4 = around 3.75
3.75litres   water in it= 15-3.75= 
15-3.75 = 11.25
11.25litres   new quantity of mix.= 15+3= 
15+3 = 18
18 litres   Quantity of alcohol in it= 3.75litres   Percentage of alcohol in new mix. = 3.75*100/18 = 20.83%   20.83%nswer is 20.83%
Answer: A
In 15 year’s time the combined age of my four brothers will be 107. What will it be in six year’s time?  Choose the correct choice from the following answers.
A) 65 B) 87 C) 71 D) 60 E) 66

Solution: C   71   Combined age in 15 years = 107.   4 × 15 = 60, therefore combined age now is 107 – 60 = 47.   In 6 years time, therefore, combined age will be   47 + 24 (4 × 6) = 71.
Answer: C
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?  Options
A) 16299	B) 1640	C) 277	D) 298	E) 279

Solution: (x*8*3)/100 = ((2665 - x)*3*5)/100   24x/100 = 39975/100 - 15x/100   39x = 39975 => x = 1025   Second sum = 2665 – 1025 = 1640   Answer:1640
Answer: B
Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?	Choose the correct choice from the following answers:
A) 2800
B) 3000
C) 3200
D) 3400
E) 3500

Solution: Let the money he took for shopping be m.   Money he spent = 30 % of m   = 30/100 × m   = 3/10 m   Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10   But money left with him = $ 2100   Therefore 7m/10 = $ 2100   m = $ 2100× 10/7   m = $ 21000/7= 
21000/7 = 3_000
$ 3000   Therefore, the money he took for shopping is $ 3000.   3000
Answer: B
((1^m)/(5^m))((1^17)/(4^17)) = 1/(2(10)^33)
What is m? Pick.
A) 17 B) 18 C) 34 D) 35 E) 33

Solution: ((1^m)/(5^m))((1^17)/(4^17)) = 1/(2(10)^33)   ((1/5)^m ) * ((1/2)^34) = 1/ (2 * (2*5)^33))   2^36 will cancel out,since 1 can be written as 1^35 ,So (1/5)^m= (1/5)^33   ((1/5)^m ) * ((1/2)^34) = 1/[(2^34)*(5^33)]   So, m=33   Answer 33
Answer: E
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is: Choose the correct option:
A) 45%  B) 23%  C) 20%  D) 60%  E) 56%

Solution: C   C.P. of each article be Re. 1.   Then, C.P. of 50 articles = Rs. 50;   S.P. of 50 articles = Rs. 40.   Loss % = 10/50 * 100= 
10/50 * 100 = 20
20%
Answer: C
The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student?  Choose the correct option:
A) 5	B) 7	C) 9	D) 11	E) 13

Solution: Average age of 12 students is 20 years means sum of 12 students age is 240   If the age of one more student is included, the average decreases by 1, means 13 students age is   13*19= 
  13*19 = 247
247   Difference between 12 and 13 students is 7.   ANSWER:7
Answer: B
Sahil purchased a machine at Rs 13000, then got it repaired at Rs 5000, then gave its transportation charges Rs 1000. Then he sold it with 50% of profit. At what price he actually sold it.  Pick one
A) Rs. 22000 B) Rs. 24500 C) Rs. 26500 D) Rs. 28500 E) None of these

Solution: Explanation:   Question seems a bit tricky, but it is very simple.   Just calculate all Cost price, then get 150% of CP.   C.P. = 13000 + 5000 + 1000= 
13000 + 5000 + 1000 = 19_000
19000   150% of 19000= 150/100 * 19000= 
150/100 * 19000 = 28_500
28500   Option Rs. 28500
Answer: D
A container contains 30 liters of milk. From this container 5 liter of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? Choose the most appropriate option:  A) 17.26liter  B) 17.39 liter  C) 17.36 liter  D) 17.32 liter  E) 57.36 liter

Solution: Explanation:   No explanation is available for this question!   ANSWER:17.36 liter
Answer: C
A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.	Choose the correct choice from the following choices
A) 7/9
B) 7/15
C) 3/5
D) 4/3
E) 8/5

Solution: let S be the sample space   Then n(S)=no of ways of drawing 2 balls out of   (6+4)= 
  (6+4) = 10
10c2=(10*9)/(2*1)= 
(10*9)/(2*1) = 45
45   Let E=event of getting both balls of same colour   Then n(E)=no of ways(2 balls out of six) or(2 balls out of 4)   =(6c2+4c2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6= 
15+6 = 21
21   P(E)=n(E)/n(S)=21/45=7/15   Ans: 7/15
Answer: B
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them? Choose the correct choice from the following answers:
A) 111.12  B) 111.16  C) 111.15  D) 111.19  E) 111.18

Solution: A runs 1000 m while B runs 900 m and C runs 800 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   B can give C = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.   111.12nswer: 111.12
Answer: A
The perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?  Options
A) 28 cm2	B) 27 cm2	C) 29 cm2	D) 25 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 * 20/2= 
2.5 * 20/2 = 25
25 cm2   Answer: 25 cm2
Answer: D
An advertising agency finds that, of its 210 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also, 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines. How many use all the three?
Choose the correct option.
A) 56 B) 70 C) 90 D) 110 E) 120

Solution: Total=210   Television=115   Radio=110   Magazine=130   All the three =210-115-110-130+85+75+95= 
210-115-110-130+85+75+95 = 110
110   ANSWER 110
Answer: D
How many multiples of 2 are there between 1 and 52, exclusive?
Choices.
A) 21
B) 22
C) 25
D) 26
E) 28

Solution: 25   multiples of 2 between 1 and 52 exclusive.   from 2 * 1 upto 2*25, (1,2,3,4,...,25). Hence, 25 multiples !   correct option is 25
Answer: C
A day-trader plans to invest a total of $23,600 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
Choose the most appropriate option:
A) $2,800  B) $4,000  C) $3,500  D) $3,800  E) $3,900

Solution: We can also just keep track of the HUNDREDS DIGITS(since the hundreds digit is different for each answer choice).   Total of 14 minimized investments = (14)(1400) = $???600   The 15th investment + $???600 = $23,600   So, the HUNDREDS DIGITS of the 15th investment must be 0   Answer: $4,000
Answer: B
The value of x + x(xx) when x = 4 is:  Answers:  A) A)36  B) B)16  C) C)18  D) D)68  E) E)10

Solution: x + x(xx)   Put the value of x = 2 in the above expression we get,   4 + 4(44)   = 4 + 4(4 × 4)   = 4 + 4(16)   = 4 + 64= 
4 + 64 = 68
68   68
Answer: D
Jim is able to sell a hand-carved statue for $660 which was a 20% profit over his cost. How much did the statue originally cost him?	Choose the correct choice from the following answers
A) $496.30	B) $512.40	C) $550	D) $574.90	E) $588.20

Solution: $550ost Price = 660/120 * 100= 
660/120 * 100 = 550
550   Answer : $550
Answer: C
In what ratio should a variety of rice costing Rs. 5.5 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg? Choose the correct choice from the following options
A) 5/6  B) 5/9  C) 5/1  D) 5/8  E) 7/6

Solution: Let us say the ratio of the quantities of cheaper and dearer varieties   = x : y   By the rule of allegation, x/y   = (8.75 - 7.50) / (7.50 - 5.5) =5/8   Answer: 5/8
Answer: D
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Choose one:	A) 299	B) 240	C) 277	D) 255	E) 143

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer:240
Answer: B
If 20% of A is the same as 30% of B, then A : B is : Select:  A) 5:4  B) 5:3  C) 4:3  D) 3:2  E) 1:3

Solution: Expl : 20% of A I= 30 % of B =20A/100 = 30B/100 = 3/2 = 3:2   Answer:3:2
Answer: D
A certain university will select 1 of 8 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?	Pick:
A) 340	B) 380	C) 472	D) 528	E) 630

Solution: 1C8*2C12 = 8*66= 
8*66 = 528
528   the answer is (528)
Answer: D
At Peter's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009? Choose one:
A) 700
B) 1000
C) 1300
D) 1600
E) 2000

Solution: At Peter's firm's annual revenue grows twice as fast as its costs.First solve for how much revenue is increasing each year:   R2008= R2007*(1+x)   R2009= R2007*(1+x)^2=1.44*R2007   (1+x)^2 = 1.44   1+x=1.2   x=0.2 aka revenue increases 20% each year and cost increases 10% annually   Next solve for R2007and 13002007:   R2007= 13002007- 1000   1.2*R2007- 1.1*13002007= 0   1.2*[13002007- 1000] - 1.1*13002007= 0   0.1*13002007= 1,200   13002007= 12,000   R2007= 11,000   Finally find 2009 profits:   Profit2009= 1.44*11,000 - 1.21*12,000   Profit2009= 15,840 - 14,520   Profit2009= 1320   Answer: 1300
Answer: C
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?  Choose the most appropriate option
A) 60 cm^2  B) 30 cm^2  C) 20 cm^2  D) 40 cm^2  E) 50 cm^2

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5= 
6 * 5 = 30
30 cm2   ANSWER 30 cm^2
Answer: B
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:  Choose the correct choice from the following choices.
A) 20
B) 30
C) 48
D) 58
E) 68

Solution: Explanation:   Let the three parts be A, B, C. Then,   A : B = 2 : 3 and B : C = 5 : 8 =5*3/5 : 8*3/5 =3: 24/5   A : B : C = 2 : 3 :	24/5=10:15:24   B =	98* 15/49= 
98* 15/49 = 30
30.   Answer IS 30
Answer: B
In a simultaneous throw of 2 dice what is the probability of getting a total of 5? Choose the correct choice:	A) 1/4	B) 1/9	C) 2/11	D) 3/13	E) 1/5

Solution: n(S) = 6*6= 
6*6 = 36
36   E= {(1,4),(2,3),(3,2),(4,1)}   Probability = 4/36 = 1/9   Answer is 1/9
Answer: B
In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.835 per pound?  Choose the correct answer.
A) 1:3 B) 1:2 C) 1:1 D) 2:1 E) 3:1

Solution: Using weighted average method:   Let x be the proportion in which the $0.8 per pound flour is mixed with $0.9 per pound flour.   Thus 0.8*x + 0.9*(1-x) = 0.835   0.9 – 0.1x = 0.835   x = 0.65   Thus ratio of both flours is 2:1   2:1
Answer: D
A man took some money for borrowed, for 3 years the total will be Rs.6500 and 5 years it will be Rs.7500/-. Then how much amount he borrowed?  Choose the correct answer.
A) s.5000/-  B) s.5500/-  C) s.5770/-  D) s.5800/-  E) s.5820/-

Solution: 3 years --------> Rs.6500/-   5 years --------> Rs.7500/-   ~ ~   ------------------------------   2 years ---------> Rs.1000/-   1 year ----------> Rs.500/-   3years * Rs.500/- = Rs.1500/-   P = Rs.6500/- - Rs.1500/- = Rs.5000/-   P = Rs.5000/-   s.5000/-
Answer: A
The cost of an item was reduced from its usual selling price of $23.99 to $20.99. Which of the following is closest to the percent decrease in the price of the item?
Options: A) 12% B) 21% C) 24% D) 25% E) 42%

Solution: The price decreased by 23.99 - 20.99= 
23.99 - 20.99 = 3
$3.   $3 is a bit more than 12% of original price of $24.   12%nswer: 12%.
Answer: A
Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 81, then which of the following can be a value of 2y + 3g?
Choices.
A) 52	B) -55	C) 141	D) 142	E) 160

Solution: 800score Official Solution:   First note that g can either be 9 or -9. We are going to have to use both to find all solutions before we can choose a final answer. We begin by substituting g = 9 and then g = -9. If g = 9, then x = 8/5. If g = -9, then x = -2. Since all of our solutions are whole numbers, we can dismiss 8/5. We use g = -9 and x = -2 to determine the value of y: y = 2(-9) + 4 = -14. Finally, we substitute the values for y and g into the last expression to determine its value : 2(-14) + 3(-9) = -28 - 27 = -55;the correct answer is (-55).
Answer: B