MU-NLPC/Calc-aqua_rat huggingface dataset:
Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 40 km per hour. At what time will Car B be 40 km ahead of Car A?  Choices:
A) 3:00 pm B) 3:30 pm C) 4:00 pm D) 4:30 pm E) 5:00 pm

Solution: At 9:30 am, Car A will be 15 km ahead of Car B.   Car B travels at a rate 10 km per hour faster than Car A.   Car B needs to travel 55 km more than Car A in order to be 40 km ahead.   This will take 55 km/10 km per hour=5.5 hours.   Car B will be 55 km ahead at 3:00 pm.   The answer is 3:00 pm.
Answer: A
There are 28 students in a class. Sixteen of those students are men.
What percent of the class are women? (Round to the nearest tenth)	Select the correct option
A) 22.9%
B) 32.9%
C) 52.9%
D) 62.9%
E) 42.9%

Solution: 28 total students-16 men=12 women   12 is what % of 28?   Multiple the opposites   100 x 12 = 1200   Divide by the remaining number   28)42.85/1200.00   42.9%   correct answer 42.9%
Answer: E
If ab - c = a(b - c), which of the following must be true?	Choose one.
A) a=0 and c=0 B) a=1/2 and b=2 C) b=1 and c=0 D) a=1 or c=0 E) a=1/2 or c=0

Solution: ab-c = a (b-c)   ab - c = ab - ac   c= ac   ac-c = 0   c(a-1) = 0   Either c = 0; or a = 1   a=1 or c=0 is the answer
Answer: D
What is the difference between the place value and face value of 2 in the numeral 2578? Select.
A) 2000 B) 2002 C) 1998 D) 1990 E) 1910

Solution: Difference between the place value and face value of 2 = 2000-2= 
2000-2 = 1_998
1998   Answer is 1998
Answer: C
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 9%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Choose the most appropriate option:
A) 16.16% B) 15.25% C) 14.14% D) 13.33% E) 11.71%

Solution: (100%+9%)*(100%-19%) = 1.09*.81 = 0.8829.   1-0.8829 = 11.71% lost = -11.71%   The Answer is 11.71%   The organization has lost 11.71% of its total volunteers from fall to spring.
Answer: E
The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?  Choose the correct answer
A) 17 B) 65 C) 12 D) 27 E) 92

Solution: Sum of the 10 numbers = 230   If each number is increased by 4, the total increase   =4 * 10= 
4 * 10 = 40
40   The new sum= 230 + 40= 
230 + 40 = 270
270 The new average= 270/10= 
270/10 = 27
27.   Answer: 27
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Pick.
A) 157 m B) 717 m C) 142 m D) 150 m E) 152 m

Solution: Speed=(60 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer:150 m
Answer: D
How much water should be added to 14 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Select.
A) 25 liters  B) 27 liters  C) 26 liters  D) 32 liters  E) 35 liters

Solution: Let x ltr water to be added   2ltr alcohol to be represented as (20(1-3/4(new soln.=14+x)))   2=5%*(14+x)-------->x=26   Ans 26 liters
Answer: C
If f is a function defined for all k by f(k) = k^3 /16, what is f(2 k) in terms of f(k)?
Choose the correct option:
A) 1/8 f(k)
B) 8 f(k)
C) 2 f(k)
D) 10 f(k)
E) 32 f(k)

Solution: f(k) = k^3 /16   f(2k) = (2k)^3 /16 =8 * k^3/16 = 8 x (k^3 /16) = 8 f(k).   So answer is 8 f(k).
Answer: B
Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is	Choose the correct choice from the following options:
A) 500  B) 400  C) 300  D) 1200  E) 200

Solution: C=x   400=x/2   A=x/4   A:400:C=1:2:4   C's Share Rs(4/7)*700= 
(4/7)*700 = 400
400   ANSWER 400
Answer: B
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
Choices:
A) $6,000  B) $6,750  C) $7,425  D) $7,500  E) $9,375

Solution: Interest = 0.05*face value = 0.04*7,500 --> face value = 0.04*7,500/0.05 = 6,000.   $6,000nswer: $6,000.
Answer: A
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs.60,000. the amount invested by Y is	Choose the correct option:
A) Rs.45,000 B) Rs.50,000 C) Rs.60,000 D) Rs.90,000 E) None

Solution: Solution   Suppose Y invested Rs.y   Then,	60000 /y = 2 / 3   â€¹=â€º y=(60000Ã—3 / 2).   â€¹=â€º y=90000.   Answer Rs.90,000
Answer: D
10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work? Select the correct option:
A) 127 days	B) 150 days	C) 177 days	D) 187 days	E) 225 days

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/5   15 women's 1 day work = (1/5 - 10/100) = 1/10   1 woman's 1 day work = 1/150   1 woman alone can complete the work in 150 days.   Answer:150 days
Answer: B
The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students? Choose the correct choice from the following answers:
A) 10  B) 25  C) 30  D) 45  E) 50

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.   30
Answer: C
Two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?	Choose the correct option:  A) 7.19  B) 7.18  C) 7.44  D) 7.15  E) 7.12

Solution: T = (135 + 165)/ (80 + 65) * 18/5   T = 7.44   Answer: 7.44
Answer: C
If the price of a TV is first decreased by 20% and then increased by 40%, then the net change in the price will be : Choose the correct choice from the following choices
A) 4% increase B) 12% increase C) 10% decrease D) 6% increase E) None of these

Solution: Explanation :   Solution: let the original price be Rs. 100.   New final price = 140% of(80% of 100) =Rs. 140/100 * 80/100 * 100 = Rs. 112.   .'. Increase = 12%   Answer : 12% increase
Answer: B
The sum of three consecutive numbers is 75. Name the numbers.  Choose the correct choice from the following choices:
A) 24, 25, and 26.
B) 34, 25, and 26.
C) 29, 28, and 26.
D) 44, 15, and 36.
E) 54, 5, and16.

Solution: The sum of three consecutive numbers is 75. Name the numbers.   Consecutive numbers are numbers in counting order. To solve problems of this type, let x equal   the first number. The second and third numbers can be expressed as x 1 and x 2.   Write an equation. x x 1 x 2 75   Solve. 3x 3 75   3x 72   x 24   Answer: The numbers are 24, 25, and 26.   Check: The numbers are consecutive, and their sum is 75.   correct answer 24, 25, and 26.
Answer: A
The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6.6. The true discount is
Choose the correct option.
A) Rs.72	B) Rs.36	C) Rs.55	D) Rs.50	E) none

Solution: Solution   T.D	= [B.G x 100 / R x T]   = Rs.(6.6 x 100 / 12 x 1)   = Rs.55.   Answer Rs.55
Answer: C
An orphanage had provision of food for 300 boys for 90 days. After 20 days, 50 boys left the orphanage. The number of days for which remaining food will last is : Choose the correct option.
A) 70  B) 72  C) 80  D) 84  E) 86

Solution: Explanation :   Solution: After 20 days : 300 boys had food for 70 days.   Suppose 250 boys had food for x days. Now, less boys, more days (Indirect proportion)   .'. 250 : 300 : : 70 : x   => 250*x = 300*70   => x = 300*70/250= 
300*70/250 = 84
84.   Answer : 84
Answer: D
The owner of a local jewelry store hired two watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/2 of the diamonds he had then, and 5 more besides. He escaped with two diamonds. How many did he steal originally? Choose the most appropriate option:
A) 50  B) 36  C) 25  D) None of these  E) Cannot be determined

Solution: Explanation :   Since, thief escaped with 1 diamond,   Before 2nd watchman, he had ( 2 + 5 ) x 2 = 20 diamonds.   Before 1st watchman, he had ( 20 + 5 ) x 2 = 50 diamonds.   50nswer : 50
Answer: A
Which of these following integers is the square of an integer?
Choose the correct choice.
A) 17095831562 B) 17051831967 C) 17127831453 D) 17142831568 E) 17751831696

Solution: The unit digit of any perfect square can not be 2, 3, 7, or 8.   The answer is 17751831696.
Answer: E
Fresh tomato contains 60% lycopene and dry tomato contains 20% lycopene. How much dry tomato can be obtained from 100kg of fresh tomato?	Choices:
A) A)32kg  B) B)50kg  C) C)52kg  D) D)80kg  E) E)100kg

Solution: Quantity of lycopene in 100 kg of fresh tomatoes = (100-60)% of 100kg = 40kg   Let the quantity of dry tomato obtained be x kg   then, (100-20)% of x = 40   (80/100)*x = 40   x = 50   correct option is 50kg
Answer: B
The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 1,980 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)	Choose the correct choice from the following answers: A) 200π B) 450π C) 300π D) 480π E) 1,200π

Solution: Distance traveled in 1 revolution = 2πr= 2π10/5280   Revolutions in one second= 1980   Revolutions in 60 seconds (one minute)= 1980*60   Total distance traveled= total revolutions *distance traveled in one revolution   1980*60 *2π10/5280= 450π   450π is the answer
Answer: B
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 60?
Choose the correct choice from the following:  A) s.3944  B) s.3948  C) s.4080  D) s.3965  E) s.3929

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 60   = Rs.4080.   Answer: s.4080
Answer: C
In the first 15 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 35 overs to reach the target of 275 runs?  Pick:
A) 5.55  B) 6.25  C) 6.75  D) 7.02  E) 6.48

Solution: Required run rate = 275 - (3.2 x 15)	/35	=	227/35 = 6.48 Option 6.48
Answer: E
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 728 more than 4times the middle integer. Find the numbers?	Choose the correct answer:
A) 650  B) 678  C) 698  D) 728  E) 729

Solution: x + 4 (x + 4) = 728 + 4 (x + 2)   Solve for x and find all three numbers   x + 4 x + 16 = 728 + 4 x + 8   x = 720   x + 2 = 722   x + 4 = 724   Check: the smallest is added to four times the largest   720 + 4 * 724= 
720 + 4 * 724 = 3_616
3616   four times the middle   4 * 722= 
4 * 722 = 2_888
2888   3616 is more than 2888 by   3616 - 2888= 
3616 - 2888 = 728
728   728
Answer: D
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 5 standard Veggiematik machines chop in 6 minutes?	Pick one.
A) 36  B) 54  C) 108  D) 270  E) 324

Solution: 270irect Relationship:-   1 standard Veggiematik machine - 36 Carrots - 4 minutes,   1 standard Veggiematik machine - 9 Carrots - 1 minute,   Now   5 standard Veggiematik machine - ? Carrots - 6 minutes,   Hence = 9X5X6 =270 Carrots   Answer 270
Answer: D
What is the place value of 3 in the numeral 3259  Choose the correct choice from the following.
A) 2000 B) 3000 C) 3500 D) 4000 E) 4590

Solution: Option '4000'    3 * 1000= 
 3 * 1000 = 3_000
3000
Answer: D
The average of 10 consecutive integers is 15. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?	Choose the most appropriate option.
A) 10
B) 10.5
C) 11
D) 11.5
E) 12

Solution: The total subtracted is (9+8+...+1) = (9*10) / 2= 
(9*10) / 2 = 45
45   On average, each number will be reduced by   45/10= 
  45/10 = 9/2 = around 4.5
4.5   Therefore, the overall average will be reduced by 4.5   The answer is 10.5.
Answer: B
Find the value of x from the below equation: x^2−7x+10=0	Answers
A) 5	B) 3	C) 6	D) 7	E) 9

Solution: Here we need to find out a and b such that a + b = -7 and ab = +10   a = -5 and b = -2 satisfies the above condition.   Hence   x^2−7x+10=(x−5)(x−2)   x2−7x+10=(x−5)(x−2)   x^2−7x+10   =0   ⇒(x−5)(x−2)   =0   x2−7x+10=0⇒(x−5)(x−2)=0   Step 3: Equate each factor to 0 and solve the equations   (x−5)(x−2)   =0   ⇒(x−5)   =0or (x−2)=0   ⇒x= 5 or 2   5
Answer: A
What is 0.1 percent of 12,356?
Pick:
A) 0.12356
B) 1.2356
C) 12.356
D) 0.012356
E) 0.0012356

Solution: Since, Percent=1/100, what=something(s), and is:=. We can write the question as s=0.1(1/100)12,356. The answer is 12.356. Hence, the correct answer is 12.356.
Answer: C
The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is
Pick
A) 15 cm  B) 25 cm  C) 35 cm  D) 42 cm  E) 43 cm

Solution: Explanation:   Required Length = H.C.F of 700 cm, 385 cm and 1295 c   = 35 cm. Answer: 35 cm
Answer: C
The figure shown can be folded into the shape of a cube. In the resulting cube, which of the lettered faces is opposite the face marked x?	Pick one:
A) C	B) W	C) Y	D) I	E) A

Solution: Explanation: If you fold the above picture at the dotted lines, X and C are opposite to each other.   Cns: C
Answer: A
The length of a rectangular floor is more than its breadth by 200%. If Rs.484 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Pick:  A) 12  B) 18  C) 20  D) 22  E) 24

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 = 484/3 = 161.33 sq m   l b = 161.33 i.e., l * l/3 = 161.33   l^2 = 484 => l = 22.   22
Answer: D
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1)
What is the largest prime number (written in binary) that is a factor of both 100000 and 1000000 ?	Answers
A) 10
B) 11
C) 101
D) 1011
E) 10001

Solution: Binary Divison can provide a quick answer if you are comfortable with it.   as option E is the biggest binary number we try with it first :   100010000/ 10=10000   1000100000/ 101 =100000   so answer is option is 10
Answer: A
Two trains of length 200 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choose the correct choice from the following answers: A) 28 B) 266 C) 990 D) 20 E) 24

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 200 + 280= 
200 + 280 = 480
480 m.   The time required= d/s = 480/20= 
480/20 = 24
24 sec.   Answer: 24
Answer: E
In what ratio should two varieties of sugar of Rs.18 per kg and Rs.24 kg be mixed together to get a mixture whose cost is Rs.20 per kg?  Pick:
A) 2:1	B) 1:2	C) 1:5	D) 5:1	E) 4:3

Solution: 1st variety rs 18 /kg---- 2nd variety rs 24/kg   mix cost 20/kg = (24-20) (20-18)   =4:2 = 2:1   2:1NSWER 2:1
Answer: A
At Chennai it rained as much on Tuesday as on all the others days of the week combined. If the average rainfall for the whole week was 3 cm. How much did it rain on Tuesday?	Choose the correct choice from the following
A) 2.625 cm	B) 3 cm	C) 10.5 cm	D) 15 cm	E) None of these

Solution: Total rainfall = 3 x 7 = 21 cm   Hence, rainfall received on Tuesday = 21/2 (as it rained as much on Tuesday as on all the others days of the week combined)   = 10.5 cm.   ANSWER:10.5 cm
Answer: C
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 6 is subtracted and divided by 8?
Choose the correct choice from the following answers.
A) 4  B) 6  C) 8  D) 5  E) 3

Solution: Explanation:   Let the number be x. Then,   (x - 5)/7 = 7 => x - 5 = 49   x = 54   .: (x - 6)/8 = (54 - 6)/8= 
(54 - 6)/8 = 6
6   Answer: Option 6
Answer: B
Which of the following is closest to 1/7+1/77+1/777  Options:
A) 1/5
B) 1/4.5
C) 1/6
D) 1/9
E) 1/6.4

Solution: 1/7+1/77+1/777=0.1428571+0.0129870+0.001287=0.1571311=1/6.4   Answer 1/6.4
Answer: E
Jaime earned enough money by selling seashells at 20 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ? Pick:
A) 5
B) 10
C) 22
D) 25
E) 30

Solution: Let's TEST Answer C: 22 seashells...   With 22 seashells, Jamie would have 22(20) =440 cents. This would allow him to buy 8 books for 440 cents total, so this is the correct answer.   22
Answer: C
The total of company C's assets in 1994 was 500% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:  Choices:
A) 7N	B) 8N	C) 9N	D) 12N	E) 30N

Solution: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.   In 1993, the total assets were 400% GR30NAT30NR, which means 1992 PLUS 400% of 1992:   $100 + 4x$100 = $100 + $400 =$500   In 1994, the total assets were 500% GR30NAT30NR than they were in 1993, which means 1993 PLUS 300% of 1993:   $500 + 5x$500 100 +  400= 
100 +  400 = 500
$500   In 1994, the total assets were 500% GR30NAT30NR than they were in 1993, which means 1993 PLUS 300% of 1993:   $500 + 5x$500= $500 + $2500 =$3000   This is 30 times the 1992 number, so the correct answer is30N.500 +  2500= 
500 +  2500 = 3_000
$3000   This is 30 times the 1992 number, so the correct answer is30N.
Answer: E
A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?  Select the correct option.
A) 776
B) 267
C) 269
D) 600
E) 298

Solution: S.I for 5 years = (1020 - 720)   = Rs. 300.   S.I. for 2 years = 300/5 * 2   = Rs. 120.   Principal = (720 - 120)   = Rs.600.   Answer: 600
Answer: D
Which of the following values of x will satisfy the inequality x2 – x – 6 > 0 ?	Choose one
A) x < – 2 or x > 3
B) –2 < x < 3
C) –3 < x < 2
D) x > – 2 or x < 3
E) None of these

Solution: x2 – x – 6 > 0   or, x2 – 3x + 2x – 6 > 0   or, x(x – 3) + 2(x – 3) > 0   or, (x – 3)(x + 2) > 0   or, x = 3 or – 2   ∴ x < – 2 or x > 3   x < – 2 or x > 3nswer x < – 2 or x > 3
Answer: A
Find the middle one when The sum of three consecutive even numbers is 36?  Choose the most appropriate option:
A) 11 B) 12 C) 15 D) 16 E) 18

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
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 answer.
A) 16  B) 17  C) 18  D) 19  E) 20

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: Option 18
Answer: C
What will be the compound interest on a sum of Rs. 20,000 after 3 years at the rate of 12% p.a.?	Choose the correct choice from the following answers:	A) s:8098.56	B) s:10123.29	C) s:10123.20	D) s:10123.28	E) s:10123.12

Solution: Amount   = [20000 * (1 + 12/100)3]   = 20000 * 28/25 * 28/25 * 28/25   = Rs. 28098.56   C.I. = (28098.56 - 20000)= 
(28098.56 - 20000) = 8_098.56
Rs: 8098.56   s:8098.56nswer: s:8098.56
Answer: A
Find large number from below question The difference of two numbers is 1200. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct choice from the following options.
A) 1437 B) 1250 C) 1540 D) 1600 E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1200 = 6x + 15   5x = 1185   x = 237   Large number = 237+1365 = 1437   1437
Answer: A
----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. If 190 students answered yes only for subject M, how many of the students did not answer yes for either subject? Select.
A) 100	B) 210	C) 300	D) 400	E) 500

Solution: Since 190 students answered yes only for subject M, then the remaining 310 students who answered yes for subject M, also answered yes for subject R. So, 310 students answered yes for both subjects.   If 310 students answered yes for both subjects, then 400-310= 
400-310 = 90
90 students answered yes only for subject R.   So, we have that:   200 students answered yes only for subject M;   90 students answered yes only for subject R;   300 students answered yes for both subjects;   Therefore 800-(200+90+300)= 
800-(200+90+300) = 210
210 students did not answer yes for either subject.   Answer: 210.
Answer: B
The Mathplanet school has increased its student body from 150 students to 240 from last year. How big is the increase in percent? Options: A) 20 B) 30 C) 40 D) 50 E) 60

Solution: We begin by subtracting the smaller number (the old value) from the greater number (the new value) to find the amount of change.   240−150=90   240−150=90   Then we find out how many percent this change corresponds to when compared to the original number of students   a=r⋅b   a=r⋅b   90=r⋅150   90=r⋅150   90150=r   90150=r   0.6=r=60%   Option 60 is correct.
Answer: E
A person purchased a TV set for Rs. 12000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?	Answers
A) 16.68% B) 87.68% C) 70.68% D) 17.68% E) 18.68%

Solution: The total CP = Rs. 12000 + Rs. 6250 = Rs. 18250 and SP   = Rs. 31150   Profit(%) = (31150 - 18250)/18250 * 100   = 70.68%   Answer:70.68%
Answer: C
One years ago,Promila was four times as old as her daughter Sakshi.Six years hence,Promila’s age will excepted her daughter’s age by 9 years.The ratio of the present ages of Promila and her daughter is	Select the correct option:
A) 9 : 2 B) 11 : 3 C) 12 : 5 D) 13 : 4 E) None of these

Solution: Solution   Let the ages of Promila and Sakshi 1 year ago be 4x and x years respectively.   Then,[(4x +1)+6]-[(x + 4)+ 4]=64 ⇔ 4x = 48 ⇔ x =12.   ∴ Required ratio =(4x +1 ) : (x + 1) : 13 : 4. Answer 13 : 4
Answer: D
We made a down payment of $80 and borrowed the balance on a new violin which cost $400. The balance with interest was paid in 23 monthly payments of $14 each and a final payment of $22. The amount of interest paid was what percent of the amount borrowed? Choose the correct choice from the following answers
A) 5.5% B) 6.5% C) 7.5% D) 8.5% E) 9.5%

Solution: We borrowed $320.   To pay back this loan, we paid 23*$14 + $22=$344.   The interest was $344-$32023* 14 +  22= 
23* 14 +  22 = 344
$344.   The interest was $344-$320=$24.   The percentage was $24/$320344- 320= 
344- 320 = 24
$24.   The percentage was $24/$320=0.075  24/ 320= 
  24/ 320 = 3/40 = around 0.075
0.075=7.5%.   The answer is 7.5%.
Answer: C
Look at this series: 58, 52, 46, 40, 34, ... What number should come next? Select.
A) 23	B) 33	C) 28	D) 35	E) 28

Solution: C   28   This is a simple subtraction series. 28ach number is 6 less than the previous number.
Answer: E
Sandy purchased 20 dozen toys at the rate of $144 per dozen. Sandy sold each toy at the rate of $12.60. What was the percentage profit?
Choose the correct choice from the following answers.
A) 3%
B) 5%
C) 7%
D) 9%
E) 11%

Solution: A dozen toys cost $144, so each toy cost $12.   selling price / cost price = 12.60 / 12= 
12.60 / 12 = 1.05
1.05   The percentage profit is 5%.   The answer is 5%.
Answer: B