MU-NLPC/Calc-aqua_rat huggingface dataset:
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Choices
A) 36-48
B) 50-34
C) 60-24
D) 42-42
E) 21-63

Solution: In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.   We are told that the other number is 12 more, x + 12.   The problem states that their sum is 84:   word problem = 84   The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.   We have:   2x = 84 − 12   = 72.   x = 72/2= 
72/2 = 36
36.   This is the first number. Therefore the other number is   x + 12= 36 + 12= 
36 + 12 = 48
48.   The sum of 36 + 48 is 84.
Answer: A
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?	Select the correct option:  A) 12  B) 14  C) 18  D) 10  E) 6

Solution: Let the number of buffaloes be x and the number of ducks be y.   Then 4x+2y=2(x+y)+24   =>x=12   12NSWER 12 12
Answer: A
AB + CD = WWW, where AB and CD are two-digit numbers and WWW is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Select the correct option:
A) 1  B) 3  C) 7  D) 9  E) Cannot be determined

Solution: AB and CD are two digit integers, their sum can give us only one three digit integer of a kind of WWW it's 111.   So, A=1. 1B+C9=111   Now, C can not be less than 9, because no to digit integer with first digit 1 (mean that it's<20) can be added to two digit integer less than 90 to have the sum 111 (if C9<90 meaning C<9 C9+1B<111) --> C=9   Answer: 9.
Answer: D
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 4. Find his average after 17th inning.	Choose the correct choice from the following options
A) 36	B) 39	C) 23	D) 45	E) None of the above

Solution: Let the average after 17th inning = x.   Then, average after 16th inning = (x – 4).   ∴ 16(x – 4) + 87 = 17x or x = (87 – 64) = 23.   Answer 23
Answer: C
Sujit incurred a loss of 45% on selling an article for Rs.3520/-. What was the cost price of the article?	Answers:	A) Rs.5725/-	B) Rs.5080/-	C) Rs.6400/-	D) Rs.6750/-	E) None of these

Solution: Explanation:   45% loss means SP of Rs.3520/- is 55% of CP   :. Rs.6400/-P = 3520x100/55 = Rs.6400/-   Answer: Option Rs.6400/-
Answer: C
What is the prime factors’ number of 12?
Options
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: prime factors’ number, as I assume, for a number X=a^n*b^m*c^o*d^p... is = n+m+o+p...   So, 24 = 2^2*3^1   prime factors’ number will be 2+1= 
2+1 = 3
3.   Hence, answer is 3.
Answer: B
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is  Choose the correct choice from the following answers:	A) 152400 m^2	B) 152500 m^2	C) 152600 m^2	D) 152800 m^2	E) 151000 m^2

Solution: Perimeter = Distance covered in 8 min. = 12000	x 8	m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m^2.   151000 m^2
Answer: E
A sum of Rs.4300 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 answer.
A) Rs.2520
B) Rs.3120
C) Rs.3320
D) Rs.2795
E) None of these

Solution: Let A be the amount received at the end of the three years.   A = 4300[1 + 10/100][1 + 20/100][1 + 25/100]   A = (4300 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.7095   So the interest = 7095 - 4300 = Rs.2795   ANSWER:Rs.2795
Answer: D
In a camp, there is a meal for 110 men or 200 children. If 140 children have taken the meal, how many men will be catered to with remaining meal?
Choose the correct choice from the following answers:	A) 41	B) 30	C) 35	D) 33	E) 36

Solution: D   33   There is a meal for 200 children.   140 children have taken the meal.   Remaining meal is to be catered to 60 children.   Now, 200 children 110 men.   60 children = (110/200)x 60= 33 men.
Answer: D
The average weight of 45 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Pick
A) 51 1⁄3  B) 52 2⁄3  C) 52 1⁄3  D) 43.42  E) None of these

Solution: Total weight of 45 students   = 45 × 52 = 2340 kg   Total weight of 5 students who leave   = 5 × 48 = 240 kg   Total weight of 5 students who join   = 5 × 54 = 270 kg   Therefore, new total weight of 45 students   = 2340 – 240 + 270 = 2370   ⇒ New average weight = 2370⁄45 = 522⁄3 kg   Answer 52 2⁄3
Answer: B
Martha has 5 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?	Choose the correct answer
A) 8 B) 9 C) 10 D) 18 E) 20

Solution: 5 dogs, 4 cats; park/barber shop   1 dog - 2 options - either park or barber shop, so, 5 dogs - 10 options and 4 dogs - 8 options.   Total = 18 options.   ANS:18
Answer: D
A retailer sold an appliance for $70. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit? Choose the correct choice from the following choices.
A) $14
B) $16
C) $20
D) $24
E) $25

Solution: Gross Profit = Selling price - Cost = 70-x   70-x = 1/4x   x = 56   GP = 70-56= 
70-56 = 14
14
Answer: A
If $1000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years? Pick:
A) 1000 (1.056)(3)
B) 1000 (3+1.056)
C) 1000 (1+3(0.056))
D) 1000 (1+(0.056)^3)
E) 1000 (1.056)^3

Solution: 1000 * 1.056 * 1.056 * 1.056 = 1000 * 1.056^3.   ANSW1000 (1.056)^3R:1000 (1.056)^3
Answer: E
What is the smallest integer a > 0 such that the inequality
1/n + 1
+
1/n + 2
+...+
1/2n + 1
< a - 2010-
1/3
is satisfied for all positive integers n?
Choose the correct choice from the following
A) 2011
B) 2012
C) 2013
D) 2014
E) 2015

Solution: Plugging in n = 1, we see that a > 2011. On the other hand, since there are n + 1   terms, and all of them are at most 1=(n + 1), the expression is at most 1, which means that   a = 2012 works.   correct answer 2012
Answer: B
What is the rate percent when the simple interest on Rs.1200 amount to Rs.160 in 4 Years?	Choose the correct choice from the following
A) 3.3% B) 7% C) 9% D) 2% E) 4%

Solution: 160 = (1200*4*R)/100   R = 3.3%   3.3%nswer: 3.3%
Answer: A
Convert the following unit:
2.1 hectares in ares
Choose the most appropriate option
A) 200 ares.  B) 210 ares.  C) 220 ares.  D) 230 ares.  E) 240 ares.

Solution: 2.1 hectares in ares   1 hectare = 100 ares   Therefore, 2.1 hectares = 2.1 × 100 ares   = 210 ares.   ANSWER : OPTION 210 ares.
Answer: B
In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number W and the smallest possible number of students that could have taken both geometry and biology?	Pick
A) 144	B) 119	C) 113	D) 88	E) 31

Solution: OFFICIAL SOLUTION:   First of all, notice that since 144 took geometry and 119 took biology, then the number of students who took both geometry and biology cannot be greater than 119.   {Total} = {geometry} + {biology} - {both} + {neither};   232 = 144 + 119 - {both} + {neither};   {both} = 31 + {neither}.   {both} is minimized when {neither} is 0. In this case {both} = 31.   The greatest possible number W of students that could have taken both geometry and biology, is 119.   Thus, the answer is 119 - 31= 
119 - 31 = 88
88.   Answer: 88.
Answer: D
In a bag there are a certain number of black balls and white balls. The probability of picking up exactly 1 white ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of black balls to white balls in the bag  Choose the correct choice from the following options:
A) 1:2	B) 2:1	C) 1:1	D) 4:1	E) 1:4

Solution: since the probability of drawing a white ball out of two picks is 1/2.   the ratio of the white ball to black balls should be 1:1   1:1
Answer: C
A person crosses a 600m long street in 5minnutes. What is his speed in km per hour?  Choose the correct choice:
A) 5.8km/hr
B) 7.2km/hr
C) 9km/hr
D) 2.5km/hr
E) 3km/hr

Solution: Speed = 600/5*60 = 2m/sec   =2*18/5= 
2*18/5 = 36/5 = around 7.2
7.2km/hr   Answer is 7.2km/hr
Answer: B
A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 440. What is the sum of the last 8 of the even integers? Choose the correct option.
A) 568 B) 584 C) 596 D) 604 E) 612

Solution: The sum of the first 8 numbers is: x + (x+2) +...+ (x+14) = 440   The sum of the next 8 numbers is: (x+16) + (x+2+16) +...+ (x+14+16) =   440 + 8(16) = 440 + 128= 
440 + 128 = 568
568   The answer is 568.
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
Pick
A) 120 metres
B) 180 metres
C) 324 metres
D) 100 metres
E) 180 metres

Solution: Speed=(60 x 5/18)/m/sec	=	50/3	m/sec.   Length of the train = (Speed x Time).   Length of the train =	50 x 6/3 m = 100 m.   ANSWER : OPTION 100 metres
Answer: D
What is the solution of the equations x - y = 0.5 and 1(x + y)-1 = 2 ?	Choose one:  A) x = 0.5, y = 0  B) x = 1, y = 0.1  C) x = 2, y = 1.1  D) x = 1.2, y = 0.3  E) None

Solution: x = 0.5, y = 0nswer   x - y = 0.5 ...(i)   and 1(x + y)-1=2   ⇒ 1/ (x + y) = 2   ⇒ 2(x + y) =1   ⇒ x + y = 1/2 ...(ii)   On solving Eqs.(i) and (ii),we get   x = 0.5   and y = 0   Correct Option: x = 0.5, y = 0
Answer: A
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 60 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old? Choose the correct choice from the following answers.
A) A)0.9 B) B)0.6 C) C)0.45 D) D)0.3 E) E)0.25

Solution: Percent of students who are 25 years old or older is 0.6*48+0.2*52=~39, so percent of people who are less than 25 years old is   100-39= 
  100-39 = 61
61.   Answer: 0.6.
Answer: B
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choose the correct choice from the following answers:
A) 12  B) 16  C) 18  D) 19  E) 11

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 200% of b = l + 2b = 3b   Area of the floor = 324/3= 
324/3 = 108
108 sq m   l b= 108 i.e., l * l/3 = 108   l2 = 324 => l = 18.   Answer: 18
Answer: C
Find the cost of fencing around a circular field of diameter 42 m at the rate of Rs.5 a meter?
Pick one:
A) 655.9
B) 659.75
C) 650.57
D) 655.9
E) 600.3

Solution: 2 * 22/7 * 14 = 131.95   131.95 * 5 = Rs.659.75   Answer: 659.75
Answer: B
An man deposited $10000 in his bank account with a compound interest rate of 20%. How many years it will take to get the amount increased by 50%? Choose the correct choice from the following:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: 1 year:  100/4= 
 100/4 = 25
$25: Total: 125   2nd year: 125/4= $31: Total: 125+31= 
125+31 = 156
156 >150   ANSWER:2 - 2 years
Answer: B
Susan weighs 15 pounds more than Anna does, and together they weigh a total of 145 pounds. Which of the following represents Anna’s weight in pounds?
Choose the correct choice from the following
A) 60
B) 65
C) 63
D) 64
E) 61

Solution: Total weight = 145   Anna's weight = 145-15 /2 = 65   Answer : 65
Answer: B
In expressing a length 81.479 km as nearly as possible with three significant digits, find the percentage error? Choose the correct option:
A) 0.075% B) 0.156% C) 0.026% D) 0.048% E) 0.152%

Solution: Error = 81.5-81.479= 
81.5-81.479 = 0.021
0.021   Required percentage= (0.021/81.479)*100 = 0.026%   Answer is 0.026%
Answer: C
What is the Mode of the following data set S- {1,2,6,9,6,6,10}
Choose one.
A) 9 B) 6 C) 10 D) 1 E) 2

Solution: Mode of a set is the data point that is repeated the most number of times. In the set given, 6 is repeated.   Answer: 6
Answer: B
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 50 years now, the son's age five years back was:
Options.
A) 19 years	B) 14 years	C) 33 years	D) 38 years	E) 20 years

Solution: Let the son's present age be x years.   Then, (50 - x) = x   2x = 50 => x = 25   Son's age 5 years back = (25 - 5)= 
(25 - 5) = 20
20 years.   ANSW20 yearsR:20 years
Answer: E
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 5 inches wide on each side, the total area would have been (M + 144) square inches. What is the perimeter of the photograph, in inches?  Choose the correct choice from the following answers
A) 10 B) 12 C) 14 D) 16 E) 18

Solution: Let x and y be the width and length of the photograph.   (x+2)(y+2)=M and so (1) xy + 2x + 2y + 4 = M   (x+10)(y+10)=M and so (2) xy + 10x + 10y + 100 = M+144   Let's subtract equation (1) from equation (2).   8x + 8y + 96 = 144   2x + 2y = 12, which is the perimeter of the photograph.   The answer is 12.
Answer: B
A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Answers
A) $1,000	B) $1,200	C) $1,400	D) $1,800	E) $2,200

Solution: Upfront payment for insurance plan = 800$   Family needs to pay 30 % of first 1000 $ in expense = 300$   Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 300= 
800 + 300 = 1_100
1100 $   Total amount paid by insurance plan for first 1000 $= 800 $   Total amount paid by family will equal amount paid by plan when medical expense = 1400 $   (Since insurance plan will pay 100% of amount that exceeds 1100$ )   Answer $1,400
Answer: C
Can you find the missing number in the sequence below
14 -20 34 -54 ? -144  Choose the correct choice from the following options:	A) 55	B) 99	C) 77	D) 66	E) 88

Solution: E   88   Explanation:   14 -20 34 -54 ? -144   The number is difference between right number and left number.   i.e   example     14-(-20)= 
  14-(-20) = 34
34   -20-(34)= -54   34-(-54)= 
34-(-54) = 88
88 answer   -54-(88)= -143
Answer: E
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 180. The dividend from the stock is :	Choose the correct choice from the following options:
A) 7.5 % B) 8 % C) 11.25 % D) None of these E) Cannot be determined

Solution: Solution   By investing Rs. 1552,income = Rs. 180.   By investing Rs. 97, income = Rs. (180/1552x97)= Rs.11.25   âˆ´ Dividend = 11.25%.   Answer 11.25 %
Answer: C
Consider two statements
Statement 1 => If A is an integer and A=2p+1 where p is not an integer.
Statement 2 => If B is an integer and B=2q where q is not an integer
Which of the following correctly specifies the Even/Odd nature of A and B respectively
Choose the most appropriate option.
A) 1) Odd,Even  B) 2) Odd,Odd  C) 3) Even,Odd  D) 4) Even,Even  E) 5) Cannot be determined

Solution: answer will be 5) Cannot be determined   A = integer   A = 2p+1 = integer here p can be any n/2 and n can be even or odd , matters alot 2 get cancelled out   if n were even A would odd   if n odd A would be even   ANSW5) Cannot be determinedR IS 5) Cannot be determined
Answer: E
A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?
Options:
A) 17/30  B) 2/5  C) 11/30  D) 4/15  E) 7/15

Solution: The probability that the number is a multiple of 3 is 10/30. (Since 3*10= 
3*10 = 30
30).   Similarly the probability that the number is a multiple of 13 is 2/30. {Since   13*2= 
  13*2 = 26
26).   Neither 3 nor 13 has common multiple from 1 to 30. Hence these events are mutually exclusive events. Therefore chance that the selected number is a multiple of 3 or 13 is (10+2)/30= 2/5.   ANSWER:2/5
Answer: B
What is the sum of the different positive prime factors of 600? Choose the correct choice from the following options
A) 5  B) 7  C) 10  D) 17  E) 24

Solution: The prime factorization of 600   = 60 * 10   = 2^2*15 * 2*5   = 2^2*3*5 * 2*5   The sum of the different positive prime factors = 2+3+5= 
2+3+5 = 10
10   The answer is 10.
Answer: C
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 18 minutes, how much time will she spend doing yoga? (rounded to minutes)
Select:
A) 30 min. B) 41 min. C) 17 min. D) 23 min. E) 25 min.

Solution: The ratio is 2:3 = gym:ride, so (18)(3/2) = 27 minutes at the gym, and   27 + 18= 
  27 + 18 = 45
45 minutes exercise, so (2/3)(45)= 30 minutes yoga.   30 min.nswer: 30 min.
Answer: A
One boy forgot the last digit of a 7 digit telephone no. If he randomly dialthe final 3 digits after correctly dialing the 1st four, then what is the chance of dialing the correct no.? Choose the correct choice from the following:
A) 1/500	B) 2/455	C) 1/1000	D) 3/1000	E) 4/1000

Solution: it is given that last 3 digits are randomly dialed   Then, each of the digit can be selected out of 10 digits in 10 ways. Hence, required probability   = 1/(10)3 = 1/1000   1/1000
Answer: C
A rectangular window is twice as long as it is wide. If its perimeter is 14 feet, then what are its dimensions in feet?
Pick one
A) 3/2 by 7/2  B) 7/3 by 14/3  C) 2 by 4  D) 3 by 6  E) 10/3 by 20/3

Solution: Let x be the width of the window. Then the length is 2x.   x+2x+x+2x = 14   6x = 14   x = 14/6 = 7/3   The width is 7/3 and the length is 14/3.   The answer is 7/3 by 14/3.
Answer: B
A certain sum amounts to Rs.1525 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?  Pick one:  A) 6.76%  B) 3.76%  C) 5.26%  D) 5.76%  E) 4.76%

Solution: 3 --- 1525   5 --- 1875   --------------   2 --- 350   N = 1 I = 75 R = ?   P = 1525 - 225= 
1525 - 225 = 1_300
1300   75= (1300*1*R)/100   R = 5.76%   ANSWER:5.76%
Answer: D
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards
B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do
they meet? Choose the correct answer: A) 10 am B) 11 am C) 12 pm D) 1 pm E) None of these

Solution: Explanation:   Suppose they meet x hrs after 8 a.m.   then   (Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]   = 330   So, 60x+75(x-1) = 330   x=3.   So,they meet at (8+3). i.e 11a.m.   Answer: 11 am
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following answers.
A) 999  B) 279  C) 120  D) 99  E) 21

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120
Answer: C
In 2003 there are 28 days in February and 365 days in a year in 2004 there are 29 days in February and 366 days in the year. If the date march 11 2003 is Tuesday, then which one of the following would the date march 11 2004 would be? Choose the most appropriate option:	A) 21	B) 2	C) 8	D) 7	E) 11

Solution: If 11-3-2003 is Tuesday, Then 11-3 - 2004 is Thursday   The number of odd days between the two dates are [3667]Rem[3667]Rem= 2.   Answer:2
Answer: B
If a light flashes every 6 seconds, how many times will it flash in 1/3 of an hour?	Pick:
A) 101	B) 201	C) 301	D) 401	E) 501

Solution: In 1/3 of an hour there are  20*60= 
 20*60 = 1_200
1200 seconds   The number of 6-second intervals= 1200/6= 
1200/6 = 200
200   After the first flash, there will be 200 more flashes for a total of 201.   The answer is 201.
Answer: B
If there are 11 containers and 562,156 apples, how many apples should be removed to equally distribute them across the containers? Pick:
A) 5
B) 0
C) 1
D) 8
E) 3

Solution: Given:   There are 11 containers   This means, the total number of apples should be divisible by 11   Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number.   562156 => (5+2+5) - (6+1+6) = 12-13 = -1 which is not divisible by 11   The closest divisible number to -1(or 1) is 0, thus we remove 1 apple   So By removing 1 apple we make the total 562155 => (5+2+5)-(6+1+5)= 
(5+2+5)-(6+1+5) = 0
0 which is divisible by 11   ANSWER: 1
Answer: C
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?  Choose the most appropriate option: A) 1000 B) 1899 C) 7861 D) 1229 E) 2991

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer: 1000
Answer: A
There are 780 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?  Choose the correct choice from the following choices:  A) 130  B) 100  C) 125  D) 175  E) 225

Solution: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 780.   Hence, we have m+f= 780   Now, we have that half the female participants and one-quarter of the male participants are Democrats.   Let d equal the number of the Democrats.   Then we have the equation f/2 + m/4 =d   Now, we have that one-third of the total participants are Democrats. Hence, we have the equation   d = 780/3= 
780/3 = 260
260   Solving the three equations yields the solution   f= 260,m= 520, and d= 260.   The number of female democratic participants equals half the female participants equals   260/2= 
260/2 = 130
130.   130NSWER:130
Answer: A
A shopkeeper sold an book offering a discount of 5% and earned a profit of 14%. What would have been the percentage of profit earned if no discount was offered?
Choose the correct choice from the following.
A) 140
B) 120
C) 130
D) 110
E) 150

Solution: Let C.P. be $100.   Then, S.P. = $114   Let marked price be $x. Then, 95/100 x = 114   x = 114/95 = $120   Now, S.P. = $120, C.P. = $100   Profit % = 20%.   120
Answer: B
Divide Rs. 1600 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?  Select:
A) Rs.800
B) Rs.400
C) Rs.600
D) Rs.500
E) Rs.900

Solution: A+Rs.400+C = 1600   A = 1/3(Rs.400+C); Rs.400 = 2/3(A+C)   A/(Rs.400+C) = 1/3   A = 1/4 * 1600= 
1/4 * 1600 = 400
> 400   ANSWER:Rs.400
Answer: B
The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 3 years ago?  Choose the correct choice from the following answers:
A) 152460
B) 214560
C) 152381
D) 210000
E) 200000

Solution: population 2 years ago = 176400/(1 + 5/100)^3   Answer is 152381
Answer: C
David purchased a house for Rs.75000 and a site for Rs.15000 respectively, if he sold the house for Rs.83000 and the site for Rs.10000, then find the resultant percentage of gain?	Options:
A) 30 %
B) 330/3 %
C) 31/3 %
D) 3.33 %
E) None

Solution: Sol.   Total CP = 90000 & total SP = 93000 ⇒ gain = SP/CP = 93000/90000 = 1.0333 = 3.33%.   Answer 3.33 %
Answer: D