MU-NLPC/Calc-aqua_rat huggingface dataset:
David and Lewis leave Chennai for Tirupati simultaneously at 7 A.M in the morning driving in two cars at speeds of 60 mph and 80 mph respectively. As soon as Lewis reaches Tirupati he returns back to Chennai along the same route and meets David on the way back. If the distance between the two cities is 160 miles, how far from Chennai did David and Lewis meet?
Select the correct option.
A) 100 mlies	B) 120 miles	C) 90 miles	D) 95 miles	E) 110 miles

Solution: Time taken by Lewis to reach Tirupati = 160/80= 
160/80 = 2
2 hours   In 2 hours, David travels 60*2= 
60*2 = 120
120 miles   So distance at which they meet should be greater than 120 miles.   Only B satisfies.   Answer is 120 miles.
Answer: B
In an exam, X scored 30 percent, Y scored 50 percent and Z 40 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three candidates?  Options:  A) 270  B) 280  C) 290  D) 300  E) 320

Solution: Average mark scored by all the three boys   = [30/100 (800) + 50/100 (800) + 40/100 (800)] / 3   = 320   Answer: 320
Answer: E
In how many ways can 4 boys and 2girls be arranged ata table if 2 girls are never together? Choices:
A) 76 B) 74 C) 72 D) 73 E) 79

Solution: Total ways of arranging 6 person in a circle = 5! = 120 ways   If we consider two women as one, then we have   4+1= 
  4+1 = 5
5 persons. Arranging these five persons in circle will take= 4! = 24 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 4!*2! = 48 ways   Total ways in which two women doesn’t sit together in circle = 5! - 4!*2! =120 - 48= 
120 - 48 = 72
72 ways   72
Answer: C
a farmer have 10%cow,15%buffalo,25%goat,50% chicken.he has 30 goat.then calculate the no. of cow,buffalo and chicken.
Pick:
A) 12,15,45 B) 12,18,60 C) 10,18,45 D) 10,16,60 E) 14,16,30

Solution: total no. of livestock is x.   x*25/100=30   x=3000/25= 
3000/25 = 120
120   no.of cow=120*10/100= 
120*10/100 = 12
12   no. of buffalo=120*15/100= 
120*15/100 = 18
18   no. of chicken=120*50/100= 
120*50/100 = 60
60   answer 12,18,60
Answer: B
The total of a company's assets in 1994 was 200% greater than the total in 1993, which in turn was 300% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?	Choose the correct choice from the following answers:  A) 5N  B) 6N  C) 9N  D) 12N  E) 15N

Solution: In 1992, the company's assets were N.   In 1993, the company's assets were N + 3N =4N.   In 1994, the company's assets were 4N + 8N = 12N.   The answer is 12N.4  + 8= 
4  + 8 = 12
12N.   The answer is 12N.
Answer: D
A fill pipe can fill 1/6 of cistern in 90 minutes in how many minutes, it can fill 5/6 of the cistern?  Select: A) 450 min B) 360 min C) 240 min D) 306 min E) 500 min

Solution: 1/6 of the cistern can fill in 90 min   5/6 of the cistern can fill in = 90*6*5/6= 
90*6*5/6 = 450
450 min   450 minnswer is 450 min
Answer: A
If $100,000 is invested at x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years? Choose the most appropriate option.
A) 10,000(x^n)  B) 10,000(x/100)^n  C) 10,000n(x/100)  D) 10,000(1+x/100)^n  E) 100,000n(x/100)

Solution: I think answer D is for compound interest (which i assumed)   and answer 100,000n(x/100) is for simple interest because it is not compounding.
Answer: E
A farmer grows Broccoli in his farm that is in the shape of a square. Each Broccoli takes 1 square foot of area in his garden. This year, he has increased his output by 101 Broccoli when compared to last year. The shape of the area used for growing the Broccoli has remained a square in both these years. How many Broccoli did he produce this year?
Choose the correct choice:
A) 2400	B) 2601	C) 1987	D) 2000	E) Cannot be determined

Solution: Explanatory Answer   The shape of the area used for growing Broccoli has remained a square in both the years.   Let the side of the square area used for growing Broccoli this year be X ft.   Therefore, the area of the ground used for cultivation this year = X2 sq.ft.   Let the side of the square area used for growing Broccoli last year be Y ft.   Therefore, the area of the ground used for cultivation last year = Y2 sq.ft.   As the number of Broccoli grown has increased by 101, the area would have increased by 101 sq ft because each Broccoli takes 1 sq ft space.   Hence, X2 - Y2 = 101   (X + Y)(X - Y) = 101.   101 is a prime number and hence it will have only two factors. i.e., 101and 1.   Therefore, 101 can be expressed as product of 2 numbers in only way = 101 * 1   i.e., (X + Y)(X - Y) = 101* 1   So, (X + Y) should be 101 and (X - Y) should be 1.   Solving the two equations we get X = 51 and Y = 50.   Therefore, number of Broccoli produced this year = X2 = 512 = 2601.   Alternative Approach : Use answer choices   The area in both the years are squares of two numbers.   That rules out choice A,C and D. as 2400,1987 and 2000 are not the square of any number.   Check Choice B: If this year's produce is 2601, last year's produce would have been  2601 - 101= 
 2601 - 101 = 2_500
2500   2500 is the square of 50.   So, 2601 is the answer.   Choice 2601
Answer: B
Out of 18 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?  Choose the correct answer:
A) 12â„13
B) 11â„13
C) 10â„15
D) 59/77
E) None of these

Solution: Total possible ways of selecting 4 students out of 18 students = 18C4 =3060   The no. of ways of selecting 4 students in which no student belongs to Karnataka = 13C4=715   âˆ´ Hence no. of ways of selecting at least one student from Karnataka = 18C4 â€“ 13C4 = 2345   âˆ´ Probability = 2345â„3060= 59/77   Answer 59/77
Answer: D
John makes $60 a week from his job. He earns a raise and now makes $100 a week. What is the % increase?
Options:
A) 16%
B) 66.67%
C) 17%
D) 17.61%
E) 17.56%

Solution: Increase = (40/60)*100 = (4/6)*100 = 66.67%.   66.67%
Answer: B
If the sides of a triangle are 30 cm, 28 cm and 10 cm, what is its area?
Pick one.
A) 120
B) 110
C) 130
D) 140
E) 150

Solution: The triangle with sides 30 cm, 28 cm and 10 cm is right angled, where the hypotenuse is 30 cm.   Area of the triangle = 1/2 * 28 * 10= 
1/2 * 28 * 10 = 140
140 cm2   Answer: Option 140
Answer: D
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 5:00 am and Pipe B at 6:00 am, at what time will the pool be full?  Pick:  A) 13:00  B) 14:00  C) 15:00  D) 17:00  E) 16:00

Solution: Pipe A fills the pool in 4 hrs.   1 hour's work : 1/4   Pipe B empties the pool in 6 hrs.   1 hour's work : 1/6   Together if they work, 1 hour's work = 1/4 -1/6 = 1/12   Given : Pipe A started at 5:00 a.m and Pipe B at 6:00 a.m   Pool filled after 1 hour by Pipe A : 1/4 or 3/12   After 6:00 a.m   Pool filled after 1 hour with both the pipes on : 1/12   Pool filled after 9 hours with both pipes on : 9/12   Pool filled in 1 hour + Pool filled in 9 hours = 3/12 +9/12= 
3/12 +9/12 = 1
1   Therefore, it takes 10 hrs to fill the pool   As Pipe A started at 5:00 a.m, pool is full at 15:00 hrs   Answer : 15:00
Answer: C
we have 7 weights one of 2 kg one of 3 kg one of 5 kg one of 1 kg one of 10 kg one of 15 kg one of 20 kg by using only five weight how many weight u can weight
Select.
A) 19	B) 18	C) 24	D) 21	E) 32

Solution: select 5 weight out of 7, 7C5=21   ANSWER:21
Answer: D
Obra drove 140π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?  Choose the correct choice.
A) 6.67%
B) 12.5%
C) 18.75%
D) 29.16%
E) 33.3%

Solution: area enclosed by the circular track on which she drove is 57,600π square meters   So, π(r^2) = 57,600π ---> (r^2)=57,600 ---> r=240   Circumference of the circular track = 2πr = 480π   Therefore, part of circumference covered = 140π/480π =29.16%   Hence, answer is 29.16%.
Answer: D
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Options
A) 120 B) 288 C) 277 D) 126 E) 221

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 600/ (36 * 5/18) , 600/ (54 * 5 /18) }   = LCM (60, 40) = 120 sec.   120nswer: 120
Answer: A
Walking at 5/6th of its usual speed a cab is 8mnts late. Find its usual time to cover the journey? Choose the correct choice from the following options.
A) 25m B) 45m C) 40m D) 50m E) 62m

Solution: New speed = 5/6th of usual speed   New time = 6/5th of usual time   6/5 UT - UT = 8m   UT/5 = 8m   UT = 40m   Answer is 40m
Answer: C
A rectangular grass field is 70 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Options.
A) s.1350  B) s.1300  C) s.1328  D) s.1397  E) s.1927

Solution: Area = (l + b +2d) 2d   = (70 + 55 +2.5 * 2) 2*2.5 => 650   650 * 2 = Rs.1300   Answer: s.1300
Answer: B
The numerator of a fraction is 1 less than twice the denominator. If the numerator and denominator are both increased by \
1, the fraction becomes 3/5. Find the fraction?
Choices:
A) A)5/3 B) B)3/5 C) C)4/7 D) D)5/9 E) of these

Solution: Let the numerator and denominator of the fraction be 'n' and 'd' respectively.   n = 2d - 1   (n + 1)/(d + 1) = 3/5   5n + 5 = 3d + 3   5n + 5 = 3(2n - 1) + 3 => n = 5   n = 2d - 1 => d = 3   Hence the fraction is : 5/3   5/3NSWER:5/3
Answer: A
Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?  Choose the correct choice.
A) 11 days  B) 9 days  C) 8 days  D) 12 days  E) 10 days

Solution: 1/15 + 1/30 = 3/30   10/1= 
10/1 = 10
10 days   ANSW10 daysR:10 days
Answer: E
The product of three consecutive numbers is 336. Then the sum of the smallest two numbers is ?	Choose the correct answer:
A) 13  B) 15  C) 20  D) 38  E) 56

Solution: Product of three numbers = 336   336 = 6*7*8.   So, the three numbers are 6, 7 and 8.   And Sum of smallest of these two = 6+7= 
6+7 = 13
13.   13NSWER : OPTION 13
Answer: A
The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid? Choose one: A) 28 m3 B) 27 m3 C) 60 m3 D) 18 m3 E) 61 m3

Solution: lb = 20 ; lh = 15 ; fh   = 12   (lbh)2 = 20 * 15 * 12 => lbh   = 60 m3   Answer: 60 m3
Answer: C
When a student Joe, weighing 44 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?  Select the correct option:
A) 5.5 kg	B) 11 kg	C) 30 kg	D) 36.5 kg	E) 7 kg

Solution: After two persons leave the group the average remains the same. That means the weight of the two persons = 44+30= 
44+30 = 74
74   So, the average the two persons= 37   That gives the answer  44-37= 
 44-37 = 7
7   Answer 7 kg
Answer: E
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?  Choose the correct choice from the following choices:	A) 1000	B) 756	C) 480	D) 660	E) 520

Solution: Total Men = 7   Total Women = 6   Persons in committee = 5   No. of ways to select at least 3 men = 7C5 + 7C4 * 6C1 + 7C3*6C2   = 756   Ans - 756
Answer: B
Consider the sets Tn= {n, n + 1, n + 2, n + 3, n + 4), where n = 1, 2, 3, … , 96. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, …)?  Choose the correct choice from the following choices:
A) 80
B) 81
C) 82
D) 83
E) 84

Solution: Explanation :   If n = 1, then the set T1 = {1,2,3,4,5}, and it does not have 6 or any multiples.   n = 2 to n = 6 has 6 in the set.   n = 7, has the set T7 = {7,8,9,10,11}, and no 6 or multiples.   So 1 in every 6 members do not have 6 or multiples of 6.   So, till n = 96, there are 16 sets of “6 members” (16*6 = 96) and 16 sets do not have 6 or its multiples, while the remaining 80 sets have.   80nswer : 80
Answer: A
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction T of the total distance did he cover while the sun was shining on him? Select.
A) 1/4	B) 4/5	C) 1/5	D) 1/6	E) 1/7

Solution: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is T=2/14 = 1/7. Answer: 1/7
Answer: E
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corner, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is Choose the correct answer.
A) 6420
B) 8960
C) 5120
D) 4830
E) None

Solution: Sol.   Clearly, l = (48 - 16)= 
(48 - 16) = 32
32 m,   b= (36 - 16)= 
(36 - 16) = 20
20 m,   h= 8 m.   ∴ Volume of the box = (32 x 20 x 8) m3 = 5120 m3   Answer 5120
Answer: C
Rajeswari went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 10%. then what was the cost of the tax free items?
Pick one:
A) Rs. 90.50  B) Rs. 89.50  C) Rs. 94.00  D) Rs. 99.50  E) Rs. 94.50

Solution: Solution   Let the amount of taxable purchases be Rs.x.   Then, 10% of x	= 50/100   x ‹=› (50/100×100/10)   = 5   Cost of tax free items	= Rs.[100 - (5 + 0.50)]   = Rs. 94.50   Answer Rs. 94.50
Answer: E
f(x) is a function such that f(2x + 1) = 2f(x) + 1 for all real numbers x and f(0) = 2. Find the value of f(3). Choose the correct option:
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: f(2x + 1) = 2f(x) + 1 : given   f(3) = 2f(1) + 1 : x = 1 in A   f(1) = 2f(0) + 1 : x = 0 in A   f(3) = 11 : substitute   correct answer 11
Answer: B
How many triples (a, b, c) of real numbers satisfy the equations
ab = c, ac = b, and bc = a ? Choose the correct answer.
A) 2	B) 4	C) 5	D) 6	E) 8

Solution: Observe that (0, 0, 0) is a triple as in the problem. Now, if one of a, b and c is 0, then the given   equations imply each of them is 0. So we suppose next that each is non-zero. The equations ab = c   and ac = b imply a2bc = bc so that a2 = 1. Hence, a 2 {1,−1}. Similarly, b 2 {1,−1} and   c 2 {1,−1}. One checks that these imply that either (a, b, c) = (1, 1, 1) or exactly one of a, b and   c is 1 and the other two are −1. These observations lead to the total number of tuples being 5.   correct answer 5
Answer: C
An office supply store stocks two sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 3 notebooks of the same size and the same color or 3 notebooks of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choose the correct choice from the following answers:
A) 15  B) 20  C) 24  D) 30  E) 36

Solution: First let's consider the small notebooks.   There are 5 ways to choose 3 notebooks of the same color.   The number of ways to choose 3 notebooks with different colors is 5C3=10.   There are 15 different packages we can make with the small notebooks.   We can use the same process to find 15 different packages with large notebooks.   The total number of different packages is 30.   The answer is 30.
Answer: D
You have to send 3,000 grapes 1,000 kilometers from grapecity to appleland. Your truck can carry 1,000 grapes at a time. Every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction (towards grapecity).
What is highest number of grapes you can get to appleland?	Choose the correct choice from the following choices.
A) 833 B) 765 C) 665 D) 679 E) 874

Solution: Step one: First you want to make 3 trips of 1,000 grapes 333 kilometers. You will be left with 2,001 grapes and 667 kilometers to go.   Step two: Next you want to take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind).   Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland.   correct answer is 833)833
Answer: A
A shepherd had n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew up 30%. In 2004, he sold 10% goats and then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was :  Choose the correct answer:
A) 16.66%
B) 14.66%
C) 11.33%
D) 20%
E) None

Solution: Solution: There is no need of the number of goats given i.e. 34,398.   Initially, let there be 100 goats. Then   100 == 40% ↑==> 140 ==30%↓(declined to 70%)==> 98 ==30%↑ ==> 127.4 ==10%↓(sold)==> 114.66   Hence, % increase = 14.66% [As 100 becomes 114.66].   Answer: Option 14.66%
Answer: B
On a track for remote controlled racing cars, racing car A completes the track in 58 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.	Choose the correct choice:
A) 275 B) 325 C) 2030 D) 425 E) None of these

Solution: Time required in seconds will be L2030M ( 35, 58 ) = 2030   Hence, answer will be (2030) 2030
Answer: C
If f(x) = 5 - 2x, then f -1(-3) = ?
Select
A) 1	B) 8	C) 6	D) 4	E) 3

Solution: Find f -1(x) and then Find f -1(- 3)   y = 5 - 2x , given   x = 5 - 2y , interchange x and y   2y = 5 - x , y = log2(5 - x) , solve for y   f -1(x) = log2(5 - x) , inverse function   f -1(- 3) = log2(5 + 3)   = log2(23) = 3   correct answer 3
Answer: E
A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8/13. How many tennis balls did the retailer order originally.
Select:
A) 64
B) 130
C) 140
D) 160
E) 120

Solution: White:Yellow = x:(x+20) = 8:13 --> 13x = 8x + 160 --> x = 32.   The total # of balls originally x + x = 32 + 32= 
32 + 32 = 64
64.   64nswer: 64.
Answer: A
The sum of ages of 5 children born at the intervals of 3 years each is
50 years. Find out the age of the youngest child?	Choose the correct choice from the following options.
A) 6 years
B) 5 years
C) 4 years
D) 2 years
E) 1 year

Solution: Let the age of the youngest child =x   Then, the ages of 5 children can be written as x,(x+3),(x+6),(x+9) and (x+12)   x+(x+3)+(x+6)+(x+9)x+(x+3)+(x+12)=50   5x+30=50   5x=20   x=20/5= 
20/5 = 4
4 Answer: Option 4 years
Answer: C
If w and y are different prime numbers less than ten, what must be true about the sum of w and y?  Choose the correct choice from the following choices: A) the sum is even B) the sum is odd C) the sum is less than ten D) the sum is greater than ten E) the sum is less than 13

Solution: This has to be solved by checking for each option:   Prime numbers less that 10 = 2, 3, 5, 7   A. the sum is even   May or may not be true. w = 3, y, = 5 -> True.   w = 2, y = 3 - True   B. the sum is odd   May or may not be true. w = 3, y, = 5 -> False.   w = 2, y = 3 - True   C. the sum is less than ten   May or may not be true w= 5, y = 7, Sum = 12   w = 2, y = 3. Sum = 5   D. the sum is greater than ten   May or may not be true w= 5, y = 7, Sum = 12   w = 2, y = 3. Sum = 5   E. the sum is less than 13   This will always be true.   Maximum sum = 7 + 5= 
7 + 5 = 12
12.   This is always less than 13.   Correct Option: the sum is less than 13
Answer: E
Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.? Choose the correct choice from the following.
A) 22  B) 88  C) 12  D) 77  E) 99

Solution: Let the distance traveled be x km.   Then, x/10 - x/15 = 2   3x - 2x = 60 => x = 60 km.   Time taken to travel 60 km at 10 km/hr = 60/10= 
60/10 = 6
6 hrs.   So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.   Required speed= 60/5= 
60/5 = 12
12 kmph.   Answer:12
Answer: C
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?	Choose the correct choice from the following:
A) 5/19  B) 5/12  C) 5/29  D) 5/20  E) 5/22

Solution: Using question number 11 and 12, we get the probability as   1 - (1/36 + 5/9)   = 5/12   Answer:5/12
Answer: B
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1170 as rent for parking his cars, what is the total rent paid by all the four agencies?  Choose one
A) 2388 B) 2778 C) 1279 D) 6150 E) 6396

Solution: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15   = 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60   Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.   The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k   It is given that A paid Rs. 1170   45k 45  + 60  + 81  + 60= 
45  + 60  + 81  + 60 = 246
246k   It is given that A paid Rs. 1170   45k= 1170 => k = 26   246k = 246(26) = Rs. 6396   Thus the total rent paid by all the four agencies is Rs. 6396.   Answer: 6396
Answer: E
A total of 502 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.	Choose the correct choice from the following answers:
A) 501	B) 512	C) 256	D) 255	E) 1023

Solution: There are 502 players, only 1 person wins, 501 players lose. in order to lose, you must have lost a game.   501 games.   501Ns- 501
Answer: A
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit? Choose the correct choice from the following.
A) 20
B) 70
C) 77
D) 26
E) 12

Solution: Let C.P. = Rs. 100. Then, profit = Rs. 320, S.P. = Rs. 420   New C.P. = 125% of Rs. 100 = Rs. 125.   New S.P. = Rs. 420   Profit = 420 - 125 = Rs. 295   Required percentage = 295/420 * 100 = 1475/21 = 70%   Answer:70
Answer: B
Out of three consecutive odd numbers fifteen times the first number is equal to addition of thrice the third number and adding 15 to six times the second . What is the first number?
Choose the correct choice from the following options.
A) 11/3	B) 12/5	C) 13/6	D) 13/2	E) 18/13

Solution: 13/2escription :   => 15x=6(x+2)+15+3(x+4)   => 15x=9x+39   =>6x = 39   X=13/2   Answer 13/2
Answer: D
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?  Choose the correct choice from the following choices.
A) 2300 m^2  B) 2350 m^2  C) 2520 m^2  D) 2620 m^2  E) 2780 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be Choices: A) 15 years B) 18 years C) 20 years D) 22 years E) 24 years

Solution: Explanation:   20 yearslue : (60 - x) - 6 = 5(x - 6)   Option 20 years
Answer: C