MU-NLPC/Calc-aqua_rat huggingface dataset:
Rodrick mixes a martini that has a volume of 'n' ounces having 37% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?	Pick:
A) n/6
B) n/2
C) 3n/5
D) 5n/6
E) 8n/5

Solution: total V G   1 ounce 0.37 0.6   n ounce 0.37n 0.6n -------------initial expression   lets say g ounces of gin is added to this mixture   n+g 0.37n 0.6n+g --------------final expression   given that after adding g ounces of gin , V should become 25% of the total volume.   =>Volume of V/total volume = 25/100   => 0.37n /n+g = 1/4   => 1.48n = n+g   => g = n/2   Answer is B.   Note that after we add pure Gin, the volume of Vermouth will remain the same. n/2ased on this set the equation:   0.37n=0.25(n+g) --> g=n/2   Answer: n/2.
Answer: B
The ages of Smirthi and Samantha vary by 16 years, Six years ago, Deepika’s age was three times as that of Smirthi’s, find their current ages.	Choose the correct choice
A) 20  B) 50  C) 40  D) 30  E) 45

Solution: 30   30   Let Smirthi’s age = A years   So, 30eepika’s age = (A + 16) years   Also, 3(A – 6) = A + 16 – 6 or, A = 14   Smirthi’s age = 14 years   and, 30eepika’s age = 14 + 16= 
14 + 16 = 30
30 years
Answer: D
What is the sum of two consecutive even numbers, the difference of whose squares is 84? Options
A) 34	B) 38	C) 42	D) 46	E) None

Solution: EXPLANATION   Let the numbers be x and x + 2.   Then, (x + 2)2 – x2 = 84   4x + 4 = 84   4x = 80   x = 20.   The required sum = x + (x + 2) = 2x + 2 + (  + 2)= 
+ (  + 2) = 2
2x + 2= 42.   Answer 42
Answer: C
Four friends, Patricia, Melyssa, Tania, and Cassandra, are pooling their money to buy a $1100 item. Patricia has three times as much money as Melyssa. Tania has $20 more than Patricia. Cassandra has 25% more than Tania. If they put all their money together and spend the $1100, they will have $19 left. How much money does Patricia have? Choose the correct answer:
A) $275
B) $300
C) $400
D) $350
E) $220

Solution: P= 3M ; T= P+20 ; C= 1.25(T)   P+M+T+C-1100=19   P+(1/3)P+P+20+1.25(P+20) = 1119   P+(1/3)P+P+20+1.25P+25=1119   P+(1/3)P+P+1.25P+45=1119   P+(1/3)P+P+1.25P=1074   3.58P=1074   P=300   Answer:$300
Answer: B
If (1/5)^m * (1/4)^3 = 1/(2*(10)^3), then m =	Options
A) 4
B) 3
C) 1
D) 6
E) 8

Solution: 1/5^m *1/4^3= 2*1/ 2^3*5^3*8   2^3*5^3*8/4^3 =5^m or 5^3 =5^m   m=3   3
Answer: B
A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 305 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?	Choose the correct option:
A) 400 B) 440 C) 550 D) 625 E) 700

Solution: Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.   7A+11440=305 ---(1)   8A+22C=600 ---(2)   Dividing (2) by 2   4A+11C=300.....(3)   Adding (1)(3)   11A+11440+11C = 605   A+440+C=55 per hour   So for eight hrs = 55*8= 
55*8 = 440
440= Answer = 440
Answer: B
On multiplying a numberZ by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.	Choose the correct answer.
A) 104345	B) 107375	C) 108385	D) 109395	E) 105355

Solution: The only thing you actually know about the correct number Z is that it is divisible by 153 and has 5 as a factor.   You should immediately try to find the factors of 153 and look for them in the options.   153 = 9*17   Divisibility by 9 is easy to check. Only (109395) satisfies.
Answer: D
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?  Select the correct option.
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: Let there be 4x lbs of P in X and x lbs of V in X   Let there be y lbs of P in Y and 5y lbs of V in Y   Now total P is   4x + y = 24   and total Q is   x + 5y = 25   Solving the two equations, we get   x = 5 and y = 4   Mixture X has 4x lbs of P = 4x = 4 * 5= 
4 * 5 = 20
20lbs   ANSWER:20
Answer: B
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of B is?  Select the correct option:
A) 12000  B) 24000  C) 24005  D) 24009  E) 24002

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 26000   Share of B = 6/13 (26000) = Rs. 12000   12000nswer: 12000
Answer: A
The average of first five prime numbers greater than 20 is?
Choose the most appropriate option:
A) 10
B) 32.2
C) 30
D) 40
E) 50

Solution: 23 + 29 + 31 + 37 + 41= 
23 + 29 + 31 + 37 + 41 = 161
161/5= 
161/5 = 161/5 = around 32.2
32.2   ANSWER:32.2
Answer: B
3550 - (1002 / 20.04) = ?	Choices:
A) 2984  B) 2983  C) 3500  D) 2981  E) None of these

Solution: 3550-50= 
3550-50 = 3_500
3500   Answer : 3500
Answer: C
The banker's discount on a bill due 4 months hence at 15% is Rs.420. The discount is
Choose the correct choice from the following answers:
A) Rs. 400 B) Rs. 360 C) Rs. 480 D) Rs.320 E) None

Solution: Solution   T.D	= B.D x 100/ 100+(RxT)   = Rs[420x100/100+(15x1/3)]   = Rs.(420x100 / 105)   = Rs.400.   Rs. 400nswer Rs. 400
Answer: A
Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 12? Choices.
A) 3x + 4y = 11 B) 3x – 4y = 12 C) 5y – 3x = 6 D) 1.5y + 2x = 8 E) 8x – 6y = 2

Solution: Perpendicular lines have slopes which are negative reciprocals of each other.   The line 4x + 3y = 12 in slope-intercept form is y = -(4/3)x + 4   The slope of this line is -4/3.   The slope of a perpendicular line is 3/4.   3x - 4y = 12 in slope-intercept form is y = (3/4)x - 3   The answer is 3x – 4y = 12.
Answer: B
Convert 500 miles into meters?	Choose the correct answer
A) 784596	B) 845796	C) 804670	D) 784596	E) 864520

Solution: 1 mile = 1609.34 meters   500mile = 500*1609.34= 
500*1609.34 = 804_670
804670 meters   Answer is 804670
Answer: C
The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?  Choices
A) 3
B) 5
C) 8
D) 9
E) 11

Solution: Let the boys are X, then girls are 7X, total = X+7X = 8X   So it should be multiple of 8, 30 is not a multiple of 8.   8
Answer: C
The average height of 50 pupils in a class is 150 cm. Six of them whose height is 146 cm, leave the class and six others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choose the correct choice from the following:
A) 287 cm  B) 151 cm  C) 276 cm  D) 151.2 cm  E) 297 cm

Solution: Total height = 150 * 50= 
150 * 50 = 7_500
7500 cm.   New average= [7500 - 6 * 146 + 6 * 156 ] / 50   = 151.2 cm.   Answer:151.2 cm
Answer: D
Square A has an area of 121 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B? Select the correct option
A) 9/25	B) 1/5	C) 16/121	D) 105/121	E) 6/25

Solution: I guess it's mean that square B is placed within square Aentirely.   Since, the perimeter of B is 16, then its side is 16/4= 
16/4 = 4
4 and the area is 4^2=16;   Empty space between the squares is 121-16= 
121-16 = 105
105 square centimeters, so if a random point is in this area then it won't be within square B: P=favorable/total=105/121.   Answer: 105/121.
Answer: D
Speed of a boat in standing water is 9kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?  Choose the correct choice from the following choices
A) 12hours	B) 24hours	C) 36hours	D) 10hours	E) 15hours

Solution: Speed upstream = 7.5kmph   Speed downstream = 10.5kmph   Total time taken = 105/7.5 + 105/10.5= 
105/7.5 + 105/10.5 = 24
24 hours   Answer is 24hours
Answer: B
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined^her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?  Choose the correct choice from the following answers:
A) Rs. 9423
B) Rs. 10,250
C) Rs. 12,500
D) None of these
E) Data inadequate

Solution: Explanation:   Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.   âˆ´   Simran's share = Rs.   (24500âˆ—3/7)   = Rs. 10500.   ANSWER IS None of these
Answer: D
Look at this series: 80, 10, 70, 15, 60, ... What number should come next?  Choose the correct choice from the following options:
A) 20	B) 23	C) 25	D) 30	E) 35

Solution: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.   20NSWER 20
Answer: A
A thief steals a car at 2.30pm and drives it at 60kmph.the
theft is discovered at 3pm and the owner sets off in another car
at 75kmph when will he overtake the thief  Select the correct option: A) 3.3 pm B) 5.5 pm C) 4.9 pm D) 5 pm E) 5.2 pm

Solution: Let the thief is overtaken x hrs after 2.30pm   distance covered by the thief in x hrs = distance covered by   the owner in x-1/2 hr   60x = 75 ( x- ½)   x= 5/2 hr   thief is overtaken at 2.30 pm + 2 ½ hr = 5 pm   Answer is 5 pm.
Answer: D
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?  Choose the correct answer
A) 16537.59 B) 16537.54 C) 16537.5 D) 16537.52 E) 16537.51

Solution: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year   Amount = [15000 * (1 + 5/100)2]   = (15000 * 21/20 * 21/20) = Rs. 16537.50   Answer: 16537.5
Answer: C
A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?	Choose the correct choice:
A) 1/4 B) 1/3 C) 1/2 D) 2/3 E) 3/4

Solution: 3 revolutions per minute = 1 revolution every 20 seconds   So no matter what anybody appearing at the tower cannot stay in the dark for more than 20 seconds. This will be our total number of possibilities i.e the denominator.   P(man in dark for at least 5 seconds) = 1 - P (man in dark for max of 10 seconds) = 1 - 10/20 = 1 - 1/2 = 1/2   or the other way would be:   P(man in dark for at least 5 seconds) is like saying he can be in dark for 5,6,7...all the way to 20 seconds because that is the max. In this approach it would be 10/20 seconds = 1/2.   Answer is 1/2
Answer: C
A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?	Choose the correct answer:
A) 29 B) 33 C) 37 D) 43 E) 45

Solution: Let the original number be 'a'   Let the divisor be 'd'   Let the quotient of the division of aa by dd be 'x'   Therefore, we can write the relation as a/d = x and the remainder is 24.   i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.   We know that a=dx+24. Therefore, 2a = 2dx + 48   The problem states that (2dx+48)/d leaves a remainder of 11.   2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.   The remainder of 11 was obtained by dividing 48 by d.   When 48 is divided by 37, the remainder that one will obtain is 11.   Hence, the divisor is 37.   37)
Answer: C
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work? Options.
A) 15 days
B) 65 days
C) 16 days
D) 17 days
E) 19 days

Solution: One days's work of A, B and C = 1/90 + 1/30 + 1/45   = (1 + 3 + 2)/90 = 1/15   A, B and C together can do the work in 15 days.   15 daysnswer:15 days
Answer: A
The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Thereforedecreasing the average by 4year. Find what was theoriginal strength of class?
Choose the correct option
A) 10
B) 12
C) 16
D) 20
E) 22

Solution: Let original strength = y   Then , 40y + 12 x 32 = ( y + 12) x 36   ⇒ 40y + 384 = 36y + 432   ⇒ 4y = 48   ∴ y = 12   12
Answer: B
How many integers from 0 to 59, inclusive, have a remainder of 1 when divided by 3 ?  Choose one:
A) 15
B) 16
C) 17
D) 18
E) 20

Solution: My ans is also C.17.   Explanation:   1 also gives 1 remainder when divided by 3, another number is 4, then 7 and so on.   Hence we have an arithmetic progression: 1, 4, 7, 10,..... 58, which are in the form 3n+1.   Now we have to find out number of terms.   tn=a+(n-1)d, where tn is the nth term of an AP, a is the first term and d is the common difference.   so, 58 = 1+(n-1)3   or, (n-1)3 = 57   or, n-1 = 19   or, n = 20   20
Answer: E
Ravi can do a piece of work in 25 days while Prakash can do it in 40 days. In how many days will they finish it together?  Choose the correct choice from the following answers
A) 15 5/13 days
B) 16 1/13 days
C) 17 1/13 days
D) 17 7/15 days
E) 18 1/13 days

Solution: 1/25 + 1/40 = 13/200   200/13   = 15 5/13 days   15 5/13 daysnswer: 15 5/13 days
Answer: A
Once a week, Susan collects wildflowers around her neighborhood to display in the vase on her family's kitchen table. When her dog Rocko tags along, she gets distracted by his barking, so she collects about 3/4 as many flowers as she usually would when she comes alone. When her father comes along, he collects twice as many as she does. Last week, Susan brought Rocko with her and collected 39 flowers. If Susan and her father go next week without Rocco, how many total flowers will they bring home? Choose the correct choice from the following choices.
A) 156  B) 104  C) 52  D) 78  E) 117

Solution: X equals Number of Flowers Susan collects while alone   Knowing 39 is 3 equal fourths of X, I can divide 39 by 3 to find the value of each fourth.   1/4 of x = 39 divided by 3   1/4 of x = 13   x = 13 x 4   x = 52   Susan's father collects twice as many flowers as Susan, which would be 52 x 2 = 104   Final calculation is Susan's flowers plus her father's flowers, 52 + 104 = 156 flowers   The correction answer is option 156) 156
Answer: A
The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?  Options:	A) 1:9	B) 1:4	C) 1:8	D) 1:1	E) 1:2

Solution: 4πr12 : 4πr22 = 1 : 4   r1 : r2 = 1 : 2   4/3 πr13 : 4/3 πr23   r13 : r23   =1:8   Answer: 1:8
Answer: C
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?	Choices
A) 4.5 B) 5.5 C) 6.5 D) 7.5 E) 8.5

Solution: Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 180 kilometers?   180 ÷ 40 = 4.5 × 1 gallon = 4.5 gallons   correct answer 4.5
Answer: A
Yesterday's closing prices of 2,860 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?  Choose the correct choice from the following answers:  A) 484  B) 726  C) 1,100  D) 1,320  E) 1,560

Solution: Lets consider the below -   The number of stocks that closed at a higher price = H   The number of stocks that closed at a lower price = L   We understand from first statement -> H+L = 2860 ----(1)   We understand from second statement -> H = (120/100)L => H = 1.2L ----(2)   Solve eq (1)(2) to get H = 1560.   1,560 is my answer.
Answer: E
If p is the sum of m and n, then which one of the following must equal m – n ? Choose the correct choice.
A) p+2n
B) p/2
C) p+y
D) p-y
E) p-2n

Solution: Given p= m+n if you subtracts both side with -2n   p-2n = m-n   Answer : p-2n
Answer: E
A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke	Choose the correct choice:  A) 7  B) 8  C) 9  D) 10  E) 15

Solution: From 64, he makes 8. From this 8 he makes one more. Total 9.   ANSWER:9
Answer: C
A car during its journey travels 1 hour at a speed of 40 kmph, another 30 minutes at a speed of 60 kmph, and 2 hours at a speed of 60 kmph.The average speed of the car is  Select:  A) 63.07 kmph  B) 54.28 kmph  C) 62.02 kmph  D) 64.02 kmph  E) None of these

Solution: First car travels 1 hrs at speed of 40 kmph   distance = 40 x 1 = 40 m   Then car travels 30 min at a speed of 60 kmph   distance = 30 min at speed of 60 kmph   distance = 60 x 1/2 = 30 m   at last it travels 2 hours at speed of 60 kmph   distance = 60 x 2 = 120 m   Total distance = 40 + 30 + 120= 
40 + 30 + 120 = 190
190   Total time= 1+ 1/2 + 2= 
1+ 1/2 + 2 = 7/2 = around 3.5
3.50   Average speed of the car= 190/3.25 = 54.28   ANSWER:54.28 kmph
Answer: B
Find the compound interest on $100000 in 2years at 4% per annum, the interest being compounded half-yearly?	Select the correct option.
A) $645.56 B) $824.32 C) $954.26 D) $745.69 E) $8243.21

Solution: Principle = $10000   Rate = 2% half yearly = 4 half years   Amount = 100000*(1 + 2/100)^4 = 100000 * 51/50 * 51/50 * 51/50 * 51/50   = $108243.21   C.I. = 108243.21-100000= 
108243.21-100000 = 8_243.21
$8243.21   Answer is $8243.21
Answer: E
If 12 men do a work in 80 days, in how many days will 16 men do it?
Choose the correct choice from the following answers:
A) 33 days  B) 77 days  C) 99 days  D) 60 days  E) 19 days

Solution: 12 * 80 = 16 * x   x = 60 days   Answer: 60 days
Answer: D
A person purchased a Computer set for Rs. 16000 and a DVD Drive for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?  Choose the correct choice from the following: A) 38% B) 74% C) 40% D) 33% E) 60%

Solution: C   40%   The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150   Profit(%) = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%
Answer: C
Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?  Choose one:
A) Rs. 14.80  B) Rs. 15.40  C) Rs. 15.60  D) Rs. 16.30  E) Rs. 18.20

Solution: Explanation:   C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.   S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.   S.P. per kg = 819/50 = Rs. 16.38 = 16.30.   ANSWER IS Rs. 16.30
Answer: D
The expression (12.86 × 12.86 + 12.86 × p + 0.14 × 0.14) will be a perfect square for p equal to
Pick: A) 0.28 B) 0.26 C) 1 D) 0 E) 2

Solution: Explanation :   12.86 × 12.86 + 12.86 × p + 0.14 × 0.14 = (12.86)2 + 12.86 × p + (0.14)2   This can be written as (12.86 + 0.14)2 = 132, if 12.86 × p = 2 × 12.86 × 0.14   i.e., if p = 2 × 0.14 = 0.28   Hence, p = 0.28 . 0.28nswer : Option 0.28
Answer: A
108.	Triangle A’s base is 7% greater than the base of triangle B, and A’s height is 7% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B? Choose the correct choice from the following options:
A) 9 % less
B) 1 % less
C) Equal to each other
D) 1 % more
E) 2.1 % more

Solution: Wish the question specified that we are talking about corresponding height.   Base of A = 8/7 * Base of B   Height of A = 6/7 * Height of B   Area of A = (1/2) * Base of A * Height of A = 8/7 * 6/7 * Area of B = 48/49 * Area of B   Area of A is 2.1% more than the area of B.   Answer (2.1 % more)
Answer: E
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.	Choose the correct choice from the following:	A) s.4500	B) s.5200	C) s.1800	D) s.Rs.3000	E) s.5000

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   ANSWER:s.Rs.3000
Answer: D
John opened a shop investing Rs.40000. Joy joined him 4 months later, investing Rs.50000. They earned a profit of Rs.55000 after completion of one year. What will be Joy's share of profit?
Choose the correct choice from the following choices
A) 23000  B) 25000  C) 24000  D) 28000  E) 29000

Solution: SoL = ~s- So Joy's share = [5/11] x 55000 = 25000   Answer : 25000
Answer: B
Find the largest 4 digit number which isexactly divisible by 88?  Options:
A) 8765
B) 9543
C) 9944
D) 1012
E) 2465

Solution: Largest 4 digit number is 9999   After doing 9999 ÷ 88 we get remainder 55   Hence largest 4 digit number exactly divisible by 88 = 9999 - 55= 
9999 - 55 = 9_944
9944   9944
Answer: C
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 336 votes. Find the number of votes casted to the winning candidate?	Choose the correct option
A) 288 B) 744 C) 788 D) 868 E) 177

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 336   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 336   62% -------- ?=> 868   Answer: 868
Answer: D
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?	Choose the most appropriate option
A) (216 + 1)  B) (216 - 1)  C) (7 x 223)  D) (296 + 1)  E) none

Solution: Let 232 = x. Then, (232 + 1) = (x + 1).   Let (x + 1) be completely divisible by the natural number N. Then,   (296 + 1) = [(232)3] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N   ANSWER:(296 + 1)
Answer: D
A school having four classes only have student strength of 10, 40, 30 and 20 respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. What is the pass percentage for the entire school? Pick: A) 56% B) 76% C) 52% D) 66% E) 46%

Solution: 20% of 10+30% of 40+60% of 30+100% of 20   =2+12+18+20= 
2+12+18+20 = 52
now 52 of 100= 52%   ANSWER:52%
Answer: C
Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 1 on it exactly once?	Answers.
A) 9/100 B) 1/10 C) 11/100 D) 19/100 E) 1/5

Solution: Probability = No of balls with exactly one 1 / total number of balls   = {1,10,12 to 19, 21,31,41,51,61,71,81,91,100}/100   = 19/100   Answer is 19/100
Answer: D
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?  Choose the correct choice from the following choices:	A) 1%	B) 1.1%	C) 9.1%	D) 10%	E) 10.8%

Solution: Let us suppose the interest rate last year is X, This year the interest rate is increased by 10%. Hence this year interest rate would be 1.1*X.   Setting up the equation -----> 11=1.1*x   X=10%   ANSWER:10%
Answer: D
A basket contains 4 blue, 4 red and 4 yellow marbles. If 4 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted? Choose the most appropriate option: A) 2/21 B) 3/25 C) 1/6 D) 9/28 E) 16/55

Solution: 12/12*8/11*4/10 = 384/1320 = 16/55   the answer is (16/55)
Answer: E
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Choose the correct choice from the following options
A) 360
B) 960
C) 329
D) 391
E) 310

Solution: The given digits are six.   The number of four digit numbers that can be formed using six digits is 6P4   = 6 * 5 * 4 * 3= 
6 * 5 * 4 * 3 = 360
360.   360nswer: 360
Answer: A
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Answers.
A) 9% B) 4% C) 2% D) 1% E) 6%

Solution: 65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer: 4%
Answer: B