MU-NLPC/Calc-aqua_rat huggingface dataset:
A bus leaves the stop 30 minutes before the scheduled time. The driver decreases its speed by 30km/hr. At the next bus stop 180 km away, the bus reached on time. Find the original speed of the bus?  Choose the correct option.
A) 110km/hr
B) 120km/hr
C) 130km/hr
D) 140km/hr
E) None of these

Solution: Explanation :   Distance = 180km, actual speed = x and actual time = t   180 = x*t   180 = (x – 30)*(t +1/2)   Solve both equation, we will get x = 120km/hr   Answer – 120km/hr
Answer: B
The tax on a commodity is diminished by 12% and its consumption increased by 10%. The effect on revenue is?  Answers.
A) 8 B) 6 C) 3 D) 5 E) 4

Solution: 100 * 100= 
100 * 100 = 10_000
10000   88 * 110= 
88 * 110 = 9_680
9680   -----------   10000-----------320   100-----------?=> 3% decrease   Answer:3
Answer: C
An escalator moves towards the top level at the rate of 12 ft.sec and its length is 196 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.  Choose the correct option:
A) 14 sec B) 10 sec C) 12 sec D) 8 sec E) 9 sec

Solution: Time taken to cover the entire length = tot.dist/resultant speed   = 196/ (12+2)= 
196/ (12+2) = 14
14sec   14 secNSWER:14 sec
Answer: A
James took a 3-hour bike ride. In the second hour he travlled 12 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?	Options:
A) 54.0  B) 54.9  C) 55.5  D) 37.0  E) 63.0

Solution: Let the distance travelled in the first hour be x. Thus, 1.2x = 12 , x = 10. Now, the distance travelled in the 3rd hour = 12+1/4âˆ—12=15   Therefore  12+15+ 10= 
 12+15+ 10 = 37
37   ANSWER:37.0
Answer: D
What is the value of 3x^2 − 1.8x + 0.3 for x = 0.6?
Choose the correct answer.
A) −0.3	B) 0	C) 0.3	D) 1.08	E) 2.46

Solution: 3x^2-1.8x+0.3 for x=0.6   =3(0.6*0.6)-3*0.6*(0.6)+0.3   =0+0.3= 
0+0.3 = 0.3
0.3   ANSWER:0.3
Answer: C
A person X working alone can complete a work in 6 days. A person Y completes the same amount of work in 10 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave? Choose the correct option
A) 9  B) 10  C) 11  D) 12  E) 13

Solution: The fraction of work completed in two days is 2/6 + 2/10 + 2/30 = 18/30   The fraction of work remaining is 1 - 18/30 = 12/30   The number of days required for Z is 12 days.   The answer is 12.
Answer: D
A man can row with a speed of 23 kmph in still water. If the stream flows at 14 kmph, then the speed in downstream is?	Choose the correct choice from the following choices.
A) 37
B) 23
C) 20
D) 28
E) 12

Solution: M = 23   S =14   DS = 23 + 14= 
23 + 14 = 37
37   37nswer: 37
Answer: A
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?  Pick one.
A) 5 : 1	B) 5 : 7	C) 5 : 5	D) 5 : 9	E) 5 : 3

Solution: Let the amount lent at 7% be Rs. x   Amount lent at 10% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 7/100 x + 10/100 (6000 - x) = 600 - 3x/100   => 600 - 3/100 x = 450 => x = 5000   5 : 1mount lent at 10% = 1000   Required ratio = 5000 : 1000 = 5 : 1   5 : 1nswer: 5 : 1
Answer: A
An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?  Choose the most appropriate option:
A) 6 B) 9 C) 12 D) 76 E) 48

Solution: In 24 ounces, gold is 20 * (70/100)= 
20 * (70/100) = 14
14 ounces. Now we add x ounces of pure gold to make it 90% gold.   So 14 + x= (24 + x)* 90/100 => x =76.   Answer is 76.
Answer: D
A room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room. Answers
A) 107 B) 153 C) 178 D) 198 E) 165

Solution: Let us calculate both the length and width of the room in centimeters.   Length = 8 meters and 16 centimeters = 816 cm   width = 4 meters and 32 centimeters = 432 cm   As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.   Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 816 and 432 = 48   Thus, the number of square tiles required = (816 x 432 ) / (48 x 48) = 17 x 9 = 153   Answer: 153
Answer: B
A cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Answers:  A) 80 m2  B) 50 m2  C) 83 m2  D) 86 m2  E) 55 m2

Solution: Area of the wet surface	= [2(lb + bh + lh) - lb]   = 2(bh + lh) + lb   = [2 (6 x 1.25 + 8 x 1.25) + 8 x 6] m2   = 83 m2.   answer :83 m2
Answer: C
Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage C.	Pick:
A) 16.8%  B) 17.4%  C) 17.9%  D) 18.5%  E) 19.1%

Solution: Given: Selling price of an Apple = 23 --> Cost price = 23/1.15= 
23/1.15 = 20
20   Selling price of an orange= 10 --> Cost price = 10/1.25= 
10/1.25 = 8
8   A > O   23*(A) + 10*(O)= 653   653 - 23*(A) has to be divisible by 10 --> Units digit has to be 0   Values of A can be 1, 11, 21, 31, .... --> 1 cannot be the value   17.4%etween 11 and 21, If A = 11, O = 30 --> Not possible   If A = 21, O = 17 --> Possible   Cost price = 20*21 + 8*17 = 420 + 136= 
420 + 136 = 556
556   Profit= 653 - 556= 
653 - 556 = 97
97   Profit% C= (97/556)*100 = 17.4%   Answer: 17.4%
Answer: B
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
Choose the correct choice from the following answers
A) 7184 liters  B) 8184 liters  C) 6184 liters  D) 1184 liters  E) 1183 liter

Solution: Explanation:   B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148= 3k + 148 => 2k = 296 => k = 148   The initial quantity of water in A = 8k = 8 * 148= 
8 * 148 = 1_184
1184 liters.   Answer: 1184 liters
Answer: D
Six persons in an organization including X and Y were to be divided in two groups of 3 members each. The total number of groups containing both X and Y is what fraction of the total number of groups which can be formed?	Choose the most appropriate option:
A) 1/4
B) 1/70
C) 3/14
D) 3/10
E) 11/14

Solution: The fraction is nothing but the probability..   Number to choose 3 out of 6= 6C3   Number to choose X and Y and 2 from remaining 4=4C2..   prob of A and B choosen=4C2/6C3=3/10   Answer : 3/10
Answer: D
Boy sells a book for Rs.450 he gets a loss of 10%, find CP of the book?  Answers
A) Rs.400  B) Rs.450  C) Rs.500  D) Rs.600  E) Rs.650

Solution: Find cost price   Let C.P. of book = x and S.P. = Rs. 450   S.P. of book = C.P. – (10% of C.P.)   S.P. = x – (0.10x)   450 = 0.9 x   x i.e cost price = Rs.500   Rs.500
Answer: C
If the consumer price index for a sample of goods and services purchased in Dallas rose from 100 at the end of 1967 to x at the end of 1985, what was the average R (arithmetic mean) annual increase in the index over this period?  Answers:
A) (x + 100)/18	B) x/18	C) (100 − x)/18	D) (x − 100)/18	E) 100x/18

Solution: CPI in end of 1967 = 100   CPI in end of 1985 = x   Number of years = 18   Average annual increase in CPI R= (x-100)/18   Answer (x − 100)/18
Answer: D
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? Options
A) 5/6  B) 2/7  C) 2/8  D) 9/2  E) 8/9

Solution: P (getting a prize) =10/(10 + 25) = 10/35 = 2/7	.   Answer:2/7
Answer: B
The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A ?  Options.
A) 12 B) 27 C) 15 D) 18 E) 11

Solution: (A+B) - (B+C) = 15   A - C = 15.   C is younger than A by 15 years.   Answer: 15
Answer: C
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. 14000. What was Simran's share in the profit?  Select:  A) Rs. 9423  B) Rs. 10,250  C) Rs. 12,500  D) Rs. 6000  E) None of these

Solution: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4   Simran's share = 14000 * 3/7 = Rs. 6000   ANSWER:Rs. 6000
Answer: D
If x+y=260, x-y=200, for integers of x and y, y=? Choices:
A) 200
B) 230
C) 50
D) 115
E) 150

Solution: x+y = 260   x-y = 200   2x = 60   x = 30   y = 230   Answer is 230
Answer: B
The average age of a husband and a wife is 28 years when they were married ten years ago but now the average age of the husband, wife and child is 27 years(the child was born during the interval). What is the present age of the child?	Select the correct option.
A) 2 years  B) 5 years  C) 9 years  D) 4 years  E) 1 years

Solution: 38 * 2= 
38 * 2 = 76
76   27 * 3= 
27 * 3 = 81
81   -----------   5 years   Answer:5 years
Answer: B
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is	Choose the correct option:
A) 21 years B) 22 years C) 23 years D) 24 years E) 26 years

Solution: Explanation:   Let's Son age is x, then Father age is x+24.   => 2(x+2) = (x+24+2)   => 2x+4 = x+26   => x = 22 years   Option 22 years
Answer: B
A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 70 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?  Choose the correct choice from the following answers.
A) 26
B) 37.5
C) 42
D) 19
E) 50

Solution: Answer: D= 19.   Assume Rs. 100 to be the price at which the retailer buys from wholesaler.   70% increase makes Retail price = 170.   Now 30% decrease -> (1-30/100) * 170 = 119.   Now compared to the wholesale price of 100, 19% increase is what will have the same effect as increasing the wholesale price.
Answer: D
In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 555. What is the sum of the last 5 integers in the sequence?  Choose the correct option:
A) 585
B) 580
C) 575
D) 570
E) 565

Solution: All 5 integers are 5 numbers larger than in the first sum (eg. 1 becomes 6, 2 7...). 5*5=25+555= 
25+555 = 580
580   580
Answer: B
Given that 268x74= 19532, find the value of 2.68x.74.
Choose the correct choice
A) 1.9532
B) 1.0025
C) 1.5693
D) 1.0266
E) None

Solution: Solution   Sum of decimals places	=(2+2)= 
(2+2) = 4
4.   Therefore,= 2.68×.74   = 1.9532   1.9532nswer 1.9532
Answer: A
Ice-ColdIce-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and VIOLET. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?	Choose the most appropriate option:
A) 12	B) 14	C) 18	D) 19	E) 20

Solution: IMO: D - 19   There are 6C3 = 20 ways to create different colored ice cream products. Out of these 20, only 1 (Silver, Blue, VIOLET) will not contain at least one of the colors pink, purple, or orange. 20 - 1 = 19.   The other way would be to calculate the number of ice cream products that contain at least one of the colors pink, purple, or orange (PPO).   #1: Pick one out of PPO and two out of SBP: 3C1 * 3C2 = 3 * 3= 
3 * 3 = 9
9   #2: Pick two out of PPO and one out of SBP: 3C2 * 3C1= 3 * 3= 
3 * 3 = 9
9   #3: Pick three out of PPO: 3C3= 1   9 + 9 + 1= 
9 + 9 + 1 = 19
19   answer is 19
Answer: D
How many seconds will it take for a car that is traveling at a constant rate of 77 miles per hour to travel a distance of 21 yards?	(1 mile = 1,160 yards)  Choose one.
A) .1  B) 0.3  C) 0.6  D) 2  E) 1.6

Solution: speed = 77 miles/hr = 37.64 yard/s   distance = 21 yards   time = distance/speed   =21/37.64   =0.6 sec   ans - 0.6
Answer: C
One pipe can fill a pool twice as faster as the second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?  Choose the correct answer:
A) 10  B) 15  C) 15.5  D) 12.5  E) 18

Solution: Say the rate of the slower pipe is R pool/hour, then the rate of the faster pipe would be 2R. Since when both pipes are opened, they fill the pool in five hours, then their combined rate is 1/5 pool/hour.   Thus we have that R + 2R = 1/5 --> R = 1/15 pool/hour --> time is reciprocal of rate thus it's 15/1= 
15/1 = 15
15 hours.   Answer: 15.
Answer: B
A tin of oil was 4/5full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain? Choose one
A) 40
B) 30
C) 20
D) 21
E) 34

Solution: Suppose x bottles can fill the tin completely   Then4/5x-3/4x=6-4   X/20=2   X=40   Therefore required no of bottles =40   Option :40
Answer: A
The average age 9 men of a gang are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new men than the old number?	Choose the correct choice:
A) 10 B) 12 C) 18 D) 22 E) 24

Solution: 9 * 2= 
9 * 2 = 18
18 years   18
Answer: C
A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Choices:
A) 25 B) 66 C) 18 D) 19 E) 01

Solution: Explanation:   Dividend on 1 share = (12.5 * 50)/100 = Rs.6.25   Rs.25 is income on an investment of Rs.100   Rs.6.25 is income on an investment of Rs. (6.25 * 100)/25 = Rs.25   25NSWER: 25
Answer: A
If x and y are non-zero integers, and 49x^4 – 4y^4 = 7x^2 + 2y^2, which of the following could be the value of x2 in terms of y?  Pick:
A) 2y^2	B) 2y^2+1/7	C) 2y^4	D) 2y^2-1/7	E) 2y^2+1/8

Solution: 49x^4 – 4y^4 = 7x^2 + 2y^2   (7x^2 + 2y^2) (7x^2 - 2y^2) = 7x^2 + 2y^2   7x^2 - 2y^2 = 1   7x^2 = 2y^2+1   x^2 = 2y^2+1/7   Answer : 2y^2+1/7
Answer: B
Find the simple interest on Rs. 71,000 at 16 2/3% per year for 9 months.	Pick one:
A) 7500 B) 6500 C) 8875 D) 9500 E) None of them

Solution: P = Rs.71000,R = 50/3% p.a and T = 9/12 years = 3/4years.   Simple Interest = (P*R*T)/100 = Rs.(71,000*(50/3)*(3/4)*(1/100))= Rs.8875   Answer is 8875.
Answer: C
Company Z has 58 employees. If the number of employees having birthdays on Wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth-days, what is the minimum number of employees having birthdays on Wednesday.	Choices.
A) 6 B) 10 C) 8 D) 9 E) 12

Solution: Say the number of people having birthdays on Wednesday is x and the number of people having birthdays on each of the other 6 days is y. then x + 6y = 54.   Now, plug options for x. Only B and E give an integer value for y. But only for B x > y as needed.   Answer: 10.
Answer: B
Find large number from below question The difference of two numbers is 1365. 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 choices.
A) 1234
B) 1456
C) 1500
D) 1600
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?  Choose the most appropriate option
A) 17 B) 10 C) 23 D) 27 E) 72

Solution: 4/12 + x/15   = 1   x = 10   Answer: 10
Answer: B
The three sides of an acute angled triangle (all in cms) are 12, 19 and b. How many integer values can b take?  Choose the correct choice.
A) 23 B) 22 C) 15 D) 8 E) 7

Solution: In acute angle triangles all angles in the triangle should be less than 90.   The maximum length of b can be when it is the hypotenuse of the triangle.   So, b= sqrt(12^2 + 19^2) = 22.5 (approx)   The maximum length of b can be when side of length 12 is the hypotenuse of the triangle.   So, b = sqrt (19^2 - 12^2) = 14.7 (approx)   So, b>14.7 and b<22.5.   Hence, possible values for b can be 15,16,17,18,19,20,21 and 22. Total 8 values.   Answer 8.
Answer: D
An electric pump can fill a tank in 4 hours. Because of a leak in the tank, it took 8hours to fill the tank. If the tank is full, how much time will the leak take to empty it?  Choose the correct choice from the following answers:
A) 10hours
B) 12hours
C) 8hours
D) 5hours
E) 15hours

Solution: Work done by the leak in 1 hour = 1/4 - 1/8 = 1/8   The leak will empty the tank in 8hours   Answer is 8hours
Answer: C
which of the following will not give a prime number on taking square root?	Choose the correct choice from the following choices.
A) 576	B) 144	C) 529	D) 64	E) 256

Solution: A prime number is a number greater than 1, whose only two whole-number factors are 1 and itself.   here square root of 529 is 23 which is having only two factor, one and its self.   23 is a prime number   answer is 529
Answer: C
According to a recent student poll, 4/5 out of 20 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?	Choose the correct choice:  A) 62/95  B) 52/95  C) 92/95  D) 42/95  E) 32/95

Solution: 16 students are interested, 4 are not interested   Prob = 1 - 492/952/2092/952 = 1 - (4*3/(20*19))=1 - 3/95 = 92/95   Answer : 92/95
Answer: C
A sum of money at simple interest amounts to Rs. 815 in 2 years and to Rs. 854 in 3 years. The sum is:
Choose one:
A) 500  B) 698  C) 780  D) 737  E) None

Solution: Sol.   S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 2 years = Rs. (39 * 2) = Rs. 78.   âˆ´ Principal = Rs. (815 - 78) = Rs. 737.   Answer 737
Answer: D
Mrs. Smith is 8 years more than twice the age of his son. The ages of son is 12.Find the age of mother and find the difference between their ages.  Choose the correct answer
A) 20yrs  B) 22yrs  C) 24yrs  D) 26yrs  E) 28yrs

Solution: 20yrsge of Smith = 32yrs; Difference between their ages = 20   Let, age of son x=12   Smith is 8 years more than twice the age of his son, y = 8+2(x)   =8+2(12)   =8+24= 
8+24 = 32
32yrs   Difference= 32 - 12= 
32 - 12 = 20
20yrs   20yrsNSWER:20yrs
Answer: A
If a and b are prime numbers, which of the following CANNOT be the sum of a and b? Choose the correct option:
A) 19 B) 25 C) 33 D) 46 E) 53

Solution: If we subtract 2 from each of the first three options, we see that it gives a prime number.   19-2= 
19-2 = 17
17   25-2= 
25-2 = 23
23   33-2= 
33-2 = 31
31   Now  46-3= 
 46-3 = 43
43.   Thus the only number left is 53.   ANSW53R:53
Answer: E
A train passes a station platform in 50 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?  Answers:	A) 615 m	B) 240 m	C) 168 m	D) 300 m	E) 691 m

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)/50= 15 => x   = 300 m   Answer: 300 m
Answer: D
Set S consists of integers {6, 8, 10, 12, 14}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 30%. What is the value of integer n?	Choose the correct choice.
A) 10  B) 12  C) 16  D) 22  E) 28

Solution: The average of the numbers in set S is 10.   If we increase the mean by 30%, the new mean is 13.   Thus, on average, 5 numbers increase by 3.   Therefore n = 13+15= 
13+15 = 28
28   The answer is 28.
Answer: E
A car crosses a 600 m long bridge in 5 minutes. What is the speed of car in km per hr?
Options:
A) 7 km/hr	B) 7.2 km/hr	C) 8 km/hr	D) 8.4 km/hr	E) 8.9 km/hr

Solution: Speed = 600 m/sec.   5 x 60   = 2 m/sec.   Converting m/sec to km/hr (see important formulas section)   = 2 x 18 km/hr   5   = 7.2 km/hr   7.2 km/hr
Answer: B
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?  Choose the correct choice from the following
A) 180
B) 277
C) 129
D) 187
E) 987

Solution: Let the five numbers be P, Q, R, S and T.   => P + Q + R + S + T = 655.   (P + Q)/2 = 85 and R = 125   P + Q = 170 and R = 125   P + Q + R = 295   S + T = 655 - (P + Q + R) = 360   Average of the last two numbers = (S + T)/2 = 180.   180nswer: 180
Answer: A
When the positive integer A is divided by 9 and 8, the remainder is 3 and 4, respectively. When the positive integer B is divided by 9 and 8, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?	Select.
A) 48  B) 49  C) 56  D) 65  E) 72

Solution: A = 9k+3 = 8j+4   B = 9m+3 = 8n+4   A-B = 9(k-m) = 8(j-n)   Thus A-B is a multiple of 9 and 8, so it is multiple of 72.   The answer is 72.
Answer: E
If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
Choose the correct choice from the following choices: A) $20000 B) $15000 C) $32000 D) $10000 E) $9000

Solution: Since investment doubles in 70/r years then for r=8 it'll double in 70/8=~9 years (we are not asked about the exact amount so such an approximation will do). Thus in 18 years investment will double twice and become ($8,000*2)*2=$32,000 (after 9 years investment will become $8,000*2=$16,000 and in another 9 years it'll become $16,000*2=$32,000).   Answer: $32000.
Answer: C
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. 59?
Choose one:	A) s.3944	B) s.4012	C) s.3942	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 * 59   = Rs.4012.   Answer: s.4012
Answer: B
A third of Arunâ€™s marks in mathematics exceed a half of his marks in English by 15.If he got 170 marks in two subjects together how many marks did he got in English?	Select:	A) 120,50	B) 180,60	C) 180,90	D) 120,40	E) None of them

Solution: Let 120,50runâ€™s marks in Mathematics and English be x and y   Then (1/3)x-(1/2)y=15   2x-3y=90â€¦â€¦>(1)   x+y=170â€¦â€¦.>(2)   solving (1) and (2)   x=120   and y=50   120,50nswer is 120,50.
Answer: A
The product of all the prime numbers less than 17 is closest to which of the following powers of 10?  Choose the correct answer:
A) 10^9  B) 10^8  C) 10^7  D) 10^6  E) 10^5

Solution: OA: 10^5
Answer: E