MU-NLPC/Calc-aqua_rat huggingface dataset:
What is x if x + 2y = 100 and y = 25?	Options:
A) 25 B) 50 C) 75 D) 100 E) 4

Solution: Substitute y by 25 in x + 2y = 100   x + 2(25) = 100   x + 50 = 100   If we substitute x by 50 in x + 50 = 100, we have 50 + 50= 
50 + 50 = 100
100. Hence   x= 50 correct answer 50
Answer: B
Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.	Choose the correct choice from the following answers:
A) 76	B) 97	C) 50	D) 99	E) 82

Solution: Explanation:   According to the question current age of the man is:   1.	125% of his age 10 years ago   2.	83.333% of his age 10 years from now   Let the current age of the man be x.   Therefore, equating the two equations generated:   125/100(x-10) = 250/3(x+10)   x = 50   ANSWER: 50
Answer: C
Two numbers are respectively 20% and 50% more than a third number. The percentage that is first of the second is?
Answers
A) 45% B) 80% C) 78% D) 94% E) 68%

Solution: I II III   120 150 100   150----------120   100-----------? => 80%   Answer:80%
Answer: B
Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?	Choose the correct choice from the following
A) 25 days  B) 26 days  C) 20 days  D) 27 days  E) 21 days

Solution: D   27 days   Let the number of hours working per day initially be x. we have M1 27 days1 H1= M2 27 days2 H2   30 * 24 * x = 20 * d2 * (4x)/3 => d2 = (30 * 24 * 3)/(24 * 4) = 27 days.
Answer: D
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 11 more than the first integer. Find the three integers? Choose the correct answer
A) 7, 9, 29	B) 5,7,9	C) 7, 9, 10	D) 7, 9, 11	E) 7, 9, 29

Solution: Explanation:   Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.   x + 4 + x + 2 = x + 11 => x = 5   Hence three consecutive odd integers are 5, 7 and9.   Answer:5,7,9
Answer: B
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?  Select: A) 31 B) 46 C) 88 D) 13 E) 12

Solution: Total score of the batsman in 20 matches = 800.   Total score of the batsman in the next 10 matches = 130.   Total score of the batsman in the 30 matches = 930.   Average score of the batsman = 930/30= 
930/30 = 31
31.   31nswer:31
Answer: A
When sold at a 50% discount, a sweater nets the merchant a 40% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?	Choose the correct choice from the following answers:	A) 20%	B) 64.29%	C) 70%	D) 80%	E) 100%

Solution: we should be careful about what are we measuring % on/what is the base..   let the Marked up price =100..   Selling price= 100-50%of 100=50..   profit= 40%..   therefore the wholesale purchase cost= x.... 1.4x=50   or x=35.71...   marked price was 100 so ...   so answer is 64.29%..   64.29%
Answer: B
If x is divisible by 2, 14, and 70, which of the following must be the least multiple of x? Choose the correct choice: A) 70 B) 140 C) 210 D) 350 E) 700

Solution: We are looking for the LCM (which is not 0) of 2, 70 = 2*7*5, 14 = 2*7:    2 * 5 * 7= 
 2 * 5 * 7 = 70
70   The answer is 70.
Answer: A
The maximum number of student amoung them 1204 pens and 840 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :	Choose the correct choice from the following answers.
A) 91	B) 28	C) 56	D) 89	E) None of these

Solution: Solution   Required number of student = H.C.F of 1204 and 840 = 28. Answer 28
Answer: B
The price of a stock has decreased by 75% since the year 2000. How many percent should the stock price increase in order to gain the same value as in the year 2000?
Choose the correct choice:
A) 300%  B) 30%  C) 75%  D) 150%  E) 25%

Solution: Let P be the price of the stock in the year 2000.   Now the stock price is 0.25P   The price needs to increase 0.75P   0.75P/0.25P = 300%   The answer is 300%.
Answer: A
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest? Choices.
A) 90%	B) 30%	C) 80%	D) 40%	E) 42%

Solution: 8 = (1*20*R)/100   R = 40%   Answer:40%
Answer: D
An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed. Choose the correct choice from the following options.
A) 104/105
B) 119/120
C) 139/140
D) 9/10
E) 14/15

Solution: The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)   The probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards)   Prob that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4   Thus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120   Thus the probability that she makes at least one shot = 1 - (1/120) = 119/120   119/120
Answer: B
12 times a number gives 156. The number is
Pick:
A) 11	B) 12	C) 13	D) None	E) Cannot be determined

Solution: Explanation:   Let the number be 'N'   12×N=156⇒N=13   13orrect Option: 13
Answer: C
A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?  Pick one.
A) wednesday at 7:20 PM B) wednesday at 7:21 PM C) wednesday at 7:22 PM D) wednesday at 7:23 PM E) wednesday at 7:24 PM

Solution: This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains min in a time of (7×24)+12 = 180 hours.   To show the correct time, it has to gain 5 min.   54/5 min-> 180 hours   5 min -> ?   5/54/5x 180   83 1/3 hrs = 72 hrs+11 1/3 hrs =3 days+11 hrs + 20 min   So the correct time will be shown on wednesday at 7:20 PM   wednesday at 7:20 PMnswer wednesday at 7:20 PM
Answer: A
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? Options.
A) 71.11 km/hr	B) 66.11 km/hr	C) 78.11 km/hr	D) 81.11 km/hr	E) 54.11 km/hr

Solution: A   71.11 km/hr   Total time taken = (160/64 + 160/8) = 9/2 hrs.   71.11 km/hrverage speed = 320 * 2/9 = 71.11 km/hr.
Answer: A
one person Tharak speed with the current is 10 km/hr and the speed of the current is 2 km/hr. Tharak's speed against the current is:  Choose the most appropriate option: A) 6 km/hr B) 1 km/hr C) 2 km/hr D) 3 km/hr E) 4 km/hr

Solution: Man's speed with the current = 10 km/hr   => speed of the man + speed of the current = 10 km/hr   speed of the current is 2 km/hr   Hence, speed of the man = 10-2= 
10-2 = 8
8 km/hr   man's speed against the current= speed of the man - speed of the current   = 8-2= 
8-2 = 6
6 km/hr   6 km/hrNSWER:6 km/hr
Answer: A
A tap can fil up an empty tank in 5 hours wheras it can be emptied by a pipe in 6 hours. How long will it take to fill the empty tank if both the taps and pipe are opened together?	Choices
A) 40 hrs. B) 30 hrs. C) 50 hrs. D) 60 hrs. E) 20 hrs.

Solution: Explanation:   In this type of questions we first get the filling in 1 minute for both pipes then we will add them to get the result, as   Part filled by rap in 1 hr= 1/5   Part emptied by pipe in 1 hr= 1/6   work done by (tap+pipe) in 1 hr= 1/5 - 1/6   = 1/30   So both tap and pipe opened the tank will fill in 30 hrs.   Option 30 hrs.
Answer: B
Six bells commence tolling together and toll at intervals of 4, 6, 8, 10, 12 and 14 seconds respectively. In 70 minutes, how many times do they toll together ?
Choose the correct choice from the following choices:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: LCM of 4, 6, 8 10, 12 and 14 is 840.   So, after each 840 seconds, they would toll together.   Hence, in 70 minutes, they would toll 70*60 seconds / 840 seconds = 5 times   But then the question says they commence tolling together. So, they basically also toll at thebeginning(0second).   So, total tolls together = 5+1= 
5+1 = 6
6   Answer: 6
Answer: E
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 5 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A? Pick one.
A) 77 B) 35 C) 75 D) 80 E) 90

Solution: A + B + C = 3 *84= 
3 *84 = 252
252   A + B + C + D= 4 * 80= 
4 * 80 = 320
320 ---- (i)   So, D= 68& E = 68 + 5= 
68 + 5 = 73
73   B + C + D +E= 79 * 4= 
79 * 4 = 316
316 --- (ii)   From Eq. (i) & (ii)   77-E= 320 â€“ 316 = 4   77 = E +4 = 73 + 4= 
73 + 4 = 77
77   77
Answer: A
Thomas worked in the factory @ 4550/- per week.
Owner told him to give the amount after one month. Then how much amount will be paid to Thomas ?
Choose the correct choice from the following options
A) 9500	B) 17500	C) 18200	D) 19500	E) 6750

Solution: Total salary paid to Thomas in one week : 4550/-   Salary for one day : 4550 /7= 
4550 /7 = 650
650/-   Total for one month= 650/- * 30days = 19500/-   Answer is Option (19500)
Answer: D
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $35,000? Select the correct option:
A) $38,796.  B) $40,000.  C) $38,976.  D) $39,679.  E) $34,104.

Solution: 35,000 *1.16*.84= 34,104   Answer $34,104.
Answer: E
In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/4.
The probability of drawing a red ball is 1/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choose the correct choice:
A) 9
B) 11
C) 10
D) 12
E) 17

Solution: answer of 1st   just add the given probabilities p(blue)+p(red)+p(green) i.e   1/4+1/5+1/10=11/20   now we know p(blue)+p(red)+p(green)+p(yellow)=1   11/20+p(yellow)=1   p(yellow)=9/20   i.e why yellow balls are 9.   9
Answer: A
What is the total cost of 2 sandwiches at $1.49 each and 4 sodas at $0.87 each?  Choose the correct choice.
A) $3.36	B) $6.46	C) $8.46	D) $10.08	E) $11.85

Solution: Answer = $6.46   2 * 1.49 + 4 * 0.87   = 2 (1.50 - 0.01) + 4 (1.00 - 0.13)   = 3 + 4 - 0.02 - 0.52   = 7 - 0.54= 
7 - 0.54 = 6.46
6.46
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 38 years now, the son's age five years back was:	Pick.
A) 19 years  B) 14 years  C) 33 years  D) 38 years  E) 39 years

Solution: Let the son's present age be x years.   Then, (38 - x) = x   2x = 38 => x = 19   Son's age 5 years back = (19 - 5)= 
(19 - 5) = 14
14 years.   ANSWER:14 years
Answer: B
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?	Answers.
A) 24
B) 44
C) 58
D) 60
E) 62

Solution: First day - 18 miles with 3 miles per hours then total - 6 hours for that day   Second day - 4 miles per hour and 5 hours - 20 miles   Third day - 4 miles per hour and 6 hours - 24 miles   Total 18+20+24 - 62   Answer: option 62.
Answer: E
If a, b, and c are consecutive integers such that a > b > c and the sum of a, b, and c is a multiple of 10, which of the following could be the value of a? Answers:	A) 0	B) 1	C) 9	D) 10	E) 12

Solution: We're given a very specific set of restrictions in this prompt:   1) A, B and C are CONSECUTIVE INTEGERS   2) A > B > C   3) A+B+C = a multiple of 10   We're asked which of the 5 answer COULD be the value of A given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until we find one that fits these restrictions..   Answer A: A = 0   In this case, the numbers would be 0, -1, and -2. The sum = -3 which is NOT a multiple of 10. Eliminate A.   Answer B: A = 1   In this case, the numbers would be 1, 0, and -1. The sum = 0 which IS a multiple of 10. B IS the answer.   Final Answer:   1
Answer: B
Find the odd man out.
331, 482, 551, 263, 383, 362, 284
Select the correct option:
A) 348 B) 383 C) 377 D) 399 E) 377

Solution: Explanation:   In each number except 383, the product of first and third digits is the middle one.   Answer: 383) 383
Answer: B
Which one of the following is the least number of four digits divisible by 71? Choose the correct choice from the following:
A) 1006  B) 1065  C) 1094  D) 1056  E) 1057

Solution: 1000/71 = 14 6/71   1000 + 71 – 6 = 1065   ANSWER:1065
Answer: B
Salad dressing A is made up of 30% vinegar and 70% oil, and salad dressing B contains 10% vinegar and 90% oil. If the 2 dressing are combined to produce a salad dressing that is 15% vinegar, dressing A comprises what % of the new dressing?
Options.
A) 15% B) 20% C) 25% D) 40% E) 55%

Solution: The total combination must be 100%. Let X% of dressing 1 is used.   30 * x + 10 * (100-x) = 15*100   solving, x= 25%   25% is the answer.
Answer: C
A and B started a business with their capitals Rs. 12,000 and 36,000 respectively. Annual profit will be distributed between them in the ratio
Choose the correct choice from the following answers:
A) 2:3
B) 1:3
C) 1:4
D) 2:5
E) 1:5

Solution: 12,000:36,000   Ans. 1:3   ANSWER:1:3
Answer: B
How many positive integers less than 60 have a reminder 01 when divided by 4?
Choose the correct choice from the following:
A) 13 B) 14 C) 15 D) 16 E) 17

Solution: 1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers.   Answer: 15.
Answer: C
On a test, students receive 6 points for each correct answer and are penalized by losing 3 points for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choose the correct choice from the following answers
A) -2 B) -1 C) 0 D) 1 E) 2

Solution: For the minimum possible score, let us take the worst case scenario   Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C   In that case, he will get only 2 out of the first 3 qs right.   Therefore, minimum possible score=(6*2)-(4*3)= 
(6*2)-(4*3) = 0
0   Answer 0
Answer: C
A metallic sheet is of rectangular shape with dimensions 48 m x 34 m. From each of its corners, 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 most appropriate option:
A) 4830	B) 5120	C) 4608	D) 7500	E) 8960

Solution: l = (48 - 16)= 
(48 - 16) = 32
32 m,   b= (34 -16)= 
(34 -16) = 18
18 m,   h= 8 m.   Volume of the box = (32 x 18 x 8) m3 = 4608 m3.   Answer: Option 4608
Answer: C
How many of the positive factors of 14 are not factors of 21?  Choose the correct choice from the following.
A) 4  B) 3  C) 1  D) 2  E) 0

Solution: Factors of 14 - 1, 2, 7, 14,   factors of 21- 1, 3, 7, 21,   1omparing both, we have three factors of 14 which are not factors of 21- 2,14   The answer is 1
Answer: C
In one year, the population, of a village increased by 25% and in the next year, it decreased by 25%. If at the end of 2nd year, the population was 18750, what was it in the beginning?  Choose the most appropriate option:
A) 7787  B) 8000  C) 1988  D) 1277  E) 20000

Solution: x*125/100 * 75/100 = 18750   X*0.9375=18750   X=18750/0.9375= 
18750/0.9375 = 20_000
> 20000   Answer:20000
Answer: E
A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?	Choices.
A) Between $15,000 and $25,000	B) Between $30,000 and $50,000	C) Between $60,000 and $100,000	D) Between $150,000 and $250,000	E) Between $300,000 and $500,000

Solution: Number of defective units is between = .3 % of 20000 and .5% of 20000   = 60 and 100   Retail Price per unit = 2500 $   Expected price of refund is between = 2500 x 60 and 2500 x 100   =1,50,000 and 2,50,000 dollars   Answer Between $150,000 and $250,000
Answer: D
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?  Pick:
A) 60 kg B) 61.5 kg C) 62 kg D) 66.5 kg E) 68.5 kg

Solution: Let Mike's weight be X kg.   According to Mike, 65 < X < 72.   According to Mike's brother, 60 < X < 70.   According to Mike's mother, X < 68.   The values satisfying all the above conditions are 66 and 67.   Required average = (66 + 67) / 2= 
(66 + 67) / 2 = 133/2 = around 66.5
66.5 kg   66.5 kg
Answer: D
The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 280, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?	Choose the correct choice from the following answers:
A) 60  B) 90  C) 120  D) 150  E) 240

Solution: Let x be the number of timeshare condos available at Playa del Mar.   Then number of timeshare condos available at Sunset Beach = 3/5x   We know, x + 2/5 x = 280   Hence, x = 200. So, number of timeshare condos available at Playa del Mar = 200   the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar = x - 2/5x = 2/5x = 3/5(200) = 120   The correct answer is 120
Answer: C
A boat can travel with a speed of 15 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 86 km downstream.  Select:
A) 4.1 hr  B) 5.25 hr  C) 8.25 hr  D) 2.25 hr  E) 2.50 hr

Solution: speed of boat in still water = 15 km/hr   speed of the stream = 6 km/hr   Speed downstream = (15+6)= 
(15+6) = 21
21 km/hr   Time taken to travel 86 km downstream= 86â„16 = 17â„4 = 4.1 hours   4.1 hrnswer is 4.1 hr
Answer: A
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.  Options: A) Rs.420.20 B) Rs.319.06 C) Rs.306.04 D) Rs.294.75 E) None of these

Solution: Explanation:   A = 5000(51/50)3   = 5306.04   5000   -----------   306.04   Answer IS Rs.306.04
Answer: C
If we have 10 people in a meeting, in how many ways they can sit around a table?	Options.
A) 10*9! B) 9*8! C) 8*7! D) 7*6! E) 6*5!

Solution: If there arenpeople sitting around a table, there are(n-1)!possible arrangements:   Here, n=10   (n-1)!=9!=9*8!   Ans:9*8!
Answer: B
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference W between the greatest and least of the five integers? Options.
A) 4K	B) 4k^2 -4k	C) 4-4k	D) 4	E) 4k+4

Solution: (n-2 + n - 1 + n + n + 1 + n + 2)/5 = 2k - 1   => n = 10k - 5   Greatest = n + 2 = 10k - 5 + 2 = 10k - 3   Least = n - 2 = 10k - 5 - 2   => 4ifference W= 10k - 3 - (10k - 7)   = 4   Answer - 410  - 3 - (10  - 7)= 
10  - 3 - (10  - 7) = 4
4   Answer - 4
Answer: D
Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Pick one.
A) 1  B) 3  C) 5  D) 6  E) 7

Solution: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted   1
Answer: A
In how many ways can you distribute 6 prizes among 5 children if every child must get atleast one?	Choose the correct choice
A) 125 Ways	B) 135 Ways	C) 120 Ways	D) 115 Ways	E) 145 Ways

Solution: 5 Prizes can distribute to 5 children by 5! ways   6 prize (last prize) can be given to any one of child. So there are 5 ways to distribute the sixth gift among 5 children.   So the total no.of ways are 5!+5 = 120+5= 
120+5 = 125
125 Ways   125 WaysNSWER:125 Ways
Answer: A
During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 40 miles per hour. In terms of x, what was Francine's average speed for the entire trip? Pick one
A) 12000/x+300 B) (x+60)/4 C) (300-x)/5 D) 600/(115-x) E) 12,000/(x+200)

Solution: total distance =100 ;total time = T   t1 = x/30 t2 = 100-x /40   T =t1+t2 = x/30 + 100-x/40 = (40x + 3000- 30x)/1200   = (10x+3000)/1200   = x+300/120   av speed = 100*120/x+300 = 12000/x+300   12000/x+300
Answer: A
The cost of 3 kg of sugar is $7.50. What will the cost of 8 kg of sugar be?  Choose the correct option
A) 20	B) 40	C) 80	D) 160	E) 180

Solution: 3 kg costs $7.50   1 kg costs $2.50   8 kg costs $20   The answer is 20.
Answer: A
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 4-cent stamps, what is the least number of 1-cent stamps she could have bought?	Choose the correct choice from the following answers.
A) 65	B) 70	C) 75	D) 80	E) 95

Solution: Let:   # of 5 and 25 cents stamps = n   # of 10 cent stamps = 2n   # of 1 cent stamps = m   Therefore:   5n + 25n + 10(2n) + m = 265 cents   50n + m = 265   Forleastnumber of 1 cents stamps, maximize 50n. Hence,   50*4 + m = 265   m = 65 i.e. 65 stamps 1 cents each   65nswer: 65
Answer: A
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 8 units?  Choose one:
A) 140 sq.units B) 170 sq.units C) 190 sq.units D) 112 sq.units E) 149 sq.units

Solution: Explanation:   Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   Area of the rectangle = lb = 14 * 8= 
14 * 8 = 112
112 sq.units   Answer: Option 112 sq.units
Answer: D
8 cups of water are to be poured into a 4-cup bottle and a 8-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of water should be poured into the 8-cup bottle?  Options:  A) 2/3  B) 7/3  C) 5/2  D) 8/3  E) 16/3

Solution: Let x be the # of cups going into the 8 cup bottle.   so.... x/8 = ((8-x)/4)   64 - 8x = 4x   64 = 12x   x = 16/3.   Answer : 16/3
Answer: E
300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?  Choose the correct option:
A) 388  B) 266  C) 350  D) 112  E) 134

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x   = 350m.   Answer:350
Answer: C
The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-8), how many units is P from the y-axis?  Select the correct option:
A) 20
B) 16
C) 8
D) 4
E) 2

Solution: The x-axis is 8 units from the point P.   Thus the y-axis is 16 units from the point P.   The answer is 16.
Answer: B