MU-NLPC/Calc-aqua_rat huggingface dataset:
A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first
Then what is the ratio of A winning over B?	Choose the most appropriate option: A) 8/9 B) 9/8 C) 7/8 D) 6/9 E) 5/9

Solution: probability of a person throwing first and winning is given by 1/(2-p)   1/(2-(1/9))=9/17 prob of a   prob of b is 8/17   prob (a/b) 9/8   ANSWER:9/8
Answer: B
A boy wants to go abroad by boat and return by flight. He has a choice of 8 different boat to go and 6 flight to return. In how many ways, can the boy perform his journey?  Choose the correct choice from the following answers:
A) 20
B) 48
C) 46
D) 50
E) 70

Solution: Ans.(B)   Sol. Number of choices to go by ship = 8 Number of choices to return by airline = 6 From, fundamental principle, total number of ways of performing the journey = 8 x 6 = 48 ways
Answer: B
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.	Choose one
A) 10 m/sec
B) 15 m/sec
C) 18 m/sec
D) 19 m/sec
E) 25 m/sec

Solution: If length of train is l and speed of train is s, then   l/s = 8   (l+180)/s = 20   (l+180)/l = 20/8 =5/2   2l+360 =5*l   3*l= 360   l=120 mtrs   s= l/8 = 120/8= 
120/8 = 15
15 m/sec   ANSWER:15 m/sec
Answer: B
How many ways are there to arrange the letters in the word accessibility ?	Choose the most appropriate option.
A) 1 B) 1260 C) 3780 D) 7560 E) 778377600

Solution: 13 total words, 2C, 2S, 2I   = 13! / 2! 2! 2! = 778377600 Answer 778377600
Answer: E
Sam and Nik start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Sam meets Nik at point C on the road which is 600m away from starting point A and 400m away from point B. The speed of Sam is 50 m/m(meter/minute). How much time did Sam take to cover the distance between A and B? Select
A) 10 minutes  B) 15 minutes  C) 20 minutes  D) 22 minutes  E) 17 minutes

Solution: total distance from A to B-   A - C = 600m, B - C = 400m;   therefore A-B = 1000m;   Vs=50 m/m;   therefore,   t = 1000/50= 
1000/50 = 20
20 minutes.   option 20 minutes
Answer: C
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Choose one.
A) 27%	B) 20%	C) 25%	D) 40%	E) 28%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)?  Options
A) 28 years	B) 11 years	C) 20 years	D) 17 years	E) 16 years

Solution: Present total age of the members = 26(5) = 130 years.   Present age of the youngest member = 10 years   Present total age of the remaining four members = 130 -10= 
130 -10 = 120
120 years   Their average age at the time of the birth of the youngest member= [120 - (4 * 10)] / 4   = 30 - 10= 
30 - 10 = 20
20 years.   Answer: 20 years
Answer: C
In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
Choose the correct choice from the following choices.
A) 156  B) 157  C) 158  D) 159  E) 160

Solution: In a school the number of girls is 15 more that that of the boys.   Means G = 15 + B ------ 1   now if 19% of the girls were newly joined and 25% of the boys were newly joined   Total Girls are 1.19G   Total Boys are 1.25B   girls is 9 more than that of the boys.   1.19G = 9 + 1.25B ------ 1   Solving 1 and 2   B= 147   G= 147 + 9= 
147 + 9 = 156
156   156NSWER:156
Answer: A
Rose made a part payment of $300 toward buying a brand new car, which represents 5% of the total cost of the car, how much remains to be paid?
Choose the correct choice from the following.
A) $5700  B) $5500  C) $5800  D) $5200  E) $5880

Solution: Explanation:   Let's start with what the total price of the car would be. If 5% is equal to $300 then 100% equals $x. We just have to multiply $300 by 20 to get total amount=$6000. Out of this amount we then need to deduct the amount already paid which was $300 so we have $6000-$300=$5700   $5700nswer: Option $5700 6000- 300= 
 6000- 300 = 5_700
$5700   $5700nswer: Option $5700
Answer: A
A certain list of 100 data has an average (arithmetic mean) of 7 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 104 data with standard deviation less than d?	Select the correct option
A) -7 and 0
B) 0 and 0
C) 0 and 7
D) 0 and 14
E) 7 and 7

Solution: Standard deviation shows how much variation there is from the mean. A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.   So when we add numbers, which are far from the mean we are stretching the set making SD bigger and when we add numbers which are close to the mean we are shrinking the set making SD smaller.   According to the above adding two numbers which are closest to the mean will shrink the set most, thus decreasing SD by the greatest amount.   Closest to the mean are 7 and 7 (actually these numbers equal to the mean) thus adding them will definitely shrink the set, thus decreasing SD.   Answer: 7 and 7.
Answer: E
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is? Choose the correct choice from the following
A) 1/8	B) 1/2	C) 7/9	D) 1/6	E) 1/1

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2   P(E) = 1 - 1/2   = 1/2.   Answer:1/2
Answer: B
Pipe A can fill a tank in 16 hrs and pipe B can fill it in 24 hrs. If both the pipes are opened in the empty tank. In how many hours will it be fill 5/4th of that tank?  Choose the correct choice: A) 10 B) 12 C) 14 D) 16 E) 18

Solution: Part filled A in 1 hr= (1/16)   Part filled 12 in 1 hr= (1/24)   Part filled by (A+12) together in 1 hr=(1/16)+(1/24)=5/48   So, The tank will be full in 48/5 hrs   Time taken to fill Exact quarter tank = (48/5) * (5/4)= 
(48/5) * (5/4) = 12
12 hrs   Answer : 12
Answer: B
The area of the Rest room is 40 m2 that of a longer wall 10 m2 and of the shorter wall 1 m2, find the edge of the new cube?	Select:  A) 40 m3  B) 10 m2  C) 80 m3  D) 20 m3  E) 50 m3

Solution: lb = 40 ; lh = 10 ; fh = 1   (lbh)2 = 40 * 10 * 1 => lbh = 20 m3   ANSWER:20 m3
Answer: D
A parts store is having a store-wide sale of 10% off all merchandise. An out-of-stock part can be backordered, but at a 20% fee. If a customer orders an out-of-stock part whose presale price was $40, how much will he pay? Choose the correct choice from the following choices:  A) $41.40  B) $42.00  C) $42.60  D) $43.20  E) $43.80

Solution: price = (original price - 10% decrease) + 20% increase   price = [40 * (90/100)] * (120/100) = 40 * (.90) * (1.2) = 36 * 1.2= 
36 * 1.2 = 43.2
43.20   The answer is $43.20.
Answer: D
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?	Choose the correct choice from the following answers: A) 9 and 6/7 pounds B) 10 and 1/10 pounds C) 10 and 2/5 pounds D) 136/13 pounds E) 11 and 1/7 pounds

Solution: Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 6 * (11 and 2/3 pounds), or 70 pounds. The total weight on Wednesday was 7 * (9 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 66 + 70, or 136 pounds. The average is 136 pounds/13 packages.   answer: 136/13 pounds
Answer: D
Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 25 kg of fresh grapes?  Choose the correct choice from the following answers:	A) 2 kg	B) 2.4 kg	C) 3.12 kg	D) 10 kg	E) none of these

Solution: The weight of non-water in 25 kg of fresh grapes (which is 100-90= 
100-90 = 10
10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20= 
100-20 = 80
80% of whole weight), so 25âˆ—0.1=xâˆ—0.8--> x=3.12   Answer: 3.12 kg.
Answer: C
On flipping 3 coins together what is the outcomes for at least One tail and three heads?	Choose the most appropriate option: A) 1/7 B) 3/8 C) 3/11 D) 4/8 E) 5/13

Solution: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}   Favorable outcomes for at least two heads   = favorable outcomes for exactly two heads and favorable outcomes for more than two heads   = {HHT, HTH, THH,HHH}   4/8   4/8
Answer: D
An agent wants to sell x% of a list of 10,000 apartments in a residential area. After market price decreases, the agent must reduce this selection by (x − 8)%. In terms of x, how many apartments will he be able to sell? Select the correct option
A) x*x – 8x	B) (x)(108 – x)	C) (100)(108 – x)	D) (100)(92 – x)	E) (x-8)/100

Solution: Based on the answer choices and the question, this question begs the use of x=8 as a sample number.   Initial = 8%*10000 = 800   Reduction = 8-8= 
8-8 = 0
0%, so no math required here to calculate the reduction; just make sure that you can calculate 800 in your answer.   A. x*x – 8x= 0; No   B. (x)(108 – x) = 800; Winner!   C. (100)(108 – x) > 800; No   D. (100)(92 – x) > 800; No   E. (x-8)/100 = 0; No   (x)(108 – x)
Answer: B
If four coins are tossed, the probability of getting two heads and two tails i	Answers:
A) 3/8
B) 3/6
C) 3/9
D) 3/1
E) 3/2

Solution: Since four coins are tossed, sample space = 24   Getting two heads and two tails can happen in six ways.   n(E) = six ways   p(E) = 6/24 = 3/8   3/8nswer:3/8
Answer: A
A boat crossed a lake from North to East at the speed of 7 km/h, entered a river and covered twice as much distance going upstream at 6 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?	Choose the correct answer:
A) 4 B) 5 C) 6 D) 7 E) 8

Solution: One way of solving this is:   Speed of boat on still water (lake)=7kmph   Speed upstream = 6kmph = speed in still water - speed of river => speed of river = 1kmph   =>Speed downstream = speed in still water + speed of river = 7+1= 
7+1 = 8
8kmph   Ans is 8
Answer: E
At a dinner party,3 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choose the correct answer.
A) 1) 5 B) 2) 10 C) 3) 24 D) 4) 2 E) 5) 120

Solution: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!   in this case, there are 3 guests, so number of distinct arrangements = 2! = 2   Answer : 4) 2
Answer: D
A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Choose the correct choice
A) 1.7
B) 1.9
C) 3
D) 1.5
E) 1.2

Solution: M = 9   S = x   DS = 9 + x   US = 9 - x   9 + x = (9 - x)2   9 + x = 18 -2x   3x = 9   x = 3   Answer:3
Answer: C
If w/x = 1/3 and w/y = 4/15, then (x + y)/y = Choose the correct option: A) 4/5 B) 6/5 C) 7/5 D) 8/5 E) 9/5

Solution: W/X = 1/3=>x=3w and W/Y = 4/15=>y=15/4w   (X+Y)/Y = (3w+15/4w)/(15/4w) = (27/4w)/(15/4w) = 9/5   Correct Option: 9/5
Answer: E
In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate ?
Choose the correct choice from the following choices:	A) 20%	B) 25%	C) 50%	D) 75%	E) 80%

Solution: ET POPULATION 100   RATIO IS 2:3   So adults=2*100/5= 
2*100/5 = 40
40 chldren=3*100/5= 
3*100/5 = 60
60   illterate adult  40*40/100= 
 40*40/100 = 16
16   literate adult 24   literate chldren 51   so total literate is 75   ANSWER:75%
Answer: D
If x+y=4 and x2y3 + y2x3=36, what is the value of xy?  Answers.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: xy=3   As x+y=4   x2y3+y2x3=36   x2y2(y+x)=36   Substituting x+y   x2y2=4   xy=4   ANSWER:4
Answer: D
Trapezoid JKLM in the x-y plane has coordinates J = (–2, –1), K = (–2, 1), L = (6, 7), and M = (6, –1). What is its perimeter?
Choose one
A) 34  B) 36  C) 31  D) 40  E) (F) 42

Solution: JK =2   LM = 11   KL =using distance formula 10   JM = using distance formula 8   Sum of all is 31   31
Answer: C
The two lines y = x and x = -2 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length of a cube whose surface area is equal to 6z? Choices.
A) 16	B) 8√2	C) 8	D) √2	E) (√2)/3

Solution: 800score Official Solution:   The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-2, -2) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(2 × 2) = 2; so z = 2.   The next step requires us to find the length of a side of a cube that has a face area equal to 2. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 2. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 2. Clearly s = √2 , oranswer choice (√2).
Answer: D
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ? Choose the correct choice from the following options.
A) 96
B) 106
C) 158
D) 116
E) 122

Solution: Average = total runs / no.of innings = 32   So, total = Average x no.of innings = 32 * 20= 
32 * 20 = 640
640   Now increase in avg= 4 runs. So, new avg = 32+6= 
32+6 = 38
38 runs   Total runs= new avg x new no. of innings = 38 * 21= 
38 * 21 = 798
798   Runs made in the 11th inning= 798-640= 
798-640 = 158
158   ANSWER:158
Answer: C
300 × ? + (12 + 4) × 1/8 = 602	Choose one:
A) A)4
B) B)3
C) C)5
D) D)2
E) E)8

Solution: Explanation:   => 300 × ? + (12 + 4) × 1/8 = 602   => 300 × ? = 602 - (12 + 4) × 1/8   => 300 × ? = 602 - 2= 
602 - 2 = 600
600=> ? = 600/300= 
600/300 = 2
2   Answer: Option 2
Answer: D
Walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. Running at a
speed of 16.5 kmph the man will cover the same distance in.	Pick:	A) 12 min	B) 25 min	C) 40 min	D) 60 min	E) None of these

Solution: Explanation :   Distance = Speed * time     4*11/4= 
  4*11/4 = 11
11km   New Speed= 16.5 kmph   Therefore time = D/S = 11/16.5 = 40min   Answer : 40 min
Answer: C
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?	Select the correct option:	A) -1	B) 1	C) 0	D) 2	E) -2

Solution: Solution:   We know that the number ‘0’ together with the natural numbers gives us the numbers 0, 1, 2, 3, 4, 5, …………… which are called whole numbers.   If A is a whole number and it is greater than 0 then the whole number before that is A – 1, which will always be a whole number.   Again, when A is a whole number and it is equal to 0 then the whole number before that is A – 1 which means 0 – 1 = -1, which is not a whole number.   Therefore, if A is a whole number then the number before that will not always be a whole number.   -1nswer -1
Answer: A
A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it? Choose the correct choice from the following: A) 2hours B) 3hours C) 4hours D) 5hours E) 6hours

Solution: A's 1 hour work = 1/4;   (B + C)'s 1 hour work = 1/2;   (A + C)'s 1 hour work = 1/2   (A + B + C)'s 1 hour work = (1/4 + 1/2) = 3/4   B's 1 hour work = (3/4 - 1/2) = 1/4   B alone will take 4 hours to do the work.   Answer:4hours
Answer: C
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.  Choose the correct choice from the following
A) 289 cm2  B) 285 cm2  C) 287 cm2  D) 267 cm2  E) 207 cm2

Solution: Area of a trapezium   = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 18) * (15)   = 285 cm2   Answer: 285 cm2
Answer: B
Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond four years. If he pays a total interest of 11,900 at the end of nine years, how much money did he borrow?	Choose the correct option.
A) 10,526
B) 12,526
C) 14,000
D) 16,000
E) 16,536

Solution: Let the sum borrowed be x. Then,   (x×6×21/00)+(x×9×3/100)+(x×14×4/100)= 11900   ⇒ (3⁄25x + 27⁄100x + 14⁄25x) = 11400 ⇒ 95⁄100x = 11900   ⇒ x = (11900×100/95)= 12526   Hence, sum borrowed = 12,526   Answer 12,526
Answer: B
A man has Rs. 544 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Choose the correct choice from the following answers:	A) 102	B) 38	C) 37	D) 90	E) 28

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 544   ⇒ 16x = 544   ∴ x = 34.   Hence, total number of notes = 3x = 102   102nswer:102
Answer: A
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long? Choose the correct choice:
A) 6
B) 3
C) 4
D) 9
E) 2

Solution: D = 25 * 60 + 1500= 
25 * 60 + 1500 = 3_000
3000 m   T= 3000/60 * 18/5= 
3000/60 * 18/5 = 180
180 sec= 3 mins   Answer:3
Answer: B
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 20 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C? Answers:  A) 40  B) 135  C) 50  D) 55  E) 60

Solution: A- 135 = 120 Miles   135 - C = 60 Miles   Avg Speed = 20 Miles   Time taken for A-135 3t and 135-C be t   avg speed = (120+60) / Total time   20 = 180/4t   t = 135   135-C = 135mph   Answer 135
Answer: B
The average weight of a class is x pounds. When a new student weighing 90 pounds joins the class, the average decreases by 1 pound. In a few months the student’s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. None of the other students’ weights changed. What is the value of x?	Options:	A) 85	B) 86	C) 88	D) 90	E) 99

Solution: When the student weighs 90 pounds the average weight is x - 1 pounds;   When the student weighs 110 pounds the average weight is x + 4 pounds.   So, the increase in total weight of 110 - 90= 
110 - 90 = 20
20 pounds corresponds to the increase in average weight of (x + 4) - (x - 1) =5 pounds, which means that there are 20/5 (  + 4) - (  - 1)= 
(  + 4) - (  - 1) = 5
5 pounds, which means that there are  20/5= 
 20/5 = 4
4 students (including the new one). So, initially there were 5 student.   Total weight= 5x + 90 = 6(x-1) --> x = 96 pounds.   Answer: 99.
Answer: E
Margaret is 10 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages	Choose the correct choice from the following answers.
A) 10yrs B) 22yrs C) 30yrs D) 40yrs E) 50yrs

Solution: Let, age of son x=12   Margaret is 10 years more than twice the age of his son, y = 10+2(x)   =10+2(12)   =10+24= 
10+24 = 34
34yrs   Difference= 34 - 12= 
34 - 12 = 22
22yrs   ANSWER:22yrs
Answer: B
Tina’s cat weighs 2.6 kilograms. Her dog weighs 6 times as much as her cat. How much does her dog weigh in kilograms?	Choose one.
A) A)10.4kg  B) B)38kg  C) C)22kg  D) D)15.6kg  E) E)20kg

Solution: 2.6*6= 
2.6*6 = 15.6
15.6kg.Answer is 15.6kg.
Answer: D
If it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?  Choose the correct option.
A) 40/3  B) 11  C) 7  D) 7/3  E) 9/7

Solution: 70 Workers = 3 hours then,   1 Worker = 3*70 Hours   30 Workers = (3*70) /(30)= 
(3*70) /(30) = 7
7   ANSWER:7
Answer: C
g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(e) is divisible by 4^11, what is the smallest possible value for e?	Choose the correct choice from the following options.
A) 22
B) 24
C) 28
D) 32
E) 44

Solution: g(e)=4^11=2^22. So we have to find a product with atleast 22 2's in it.   in option 1 22 the total no of 2's = [22/2] + [22/4] +[22/8] +[22/16] = 11+5+2+1= 
11+5+2+1 = 19
19   in option 2 24 the total no of 2's= [24/2] + [24/4] +[24/8] +[24/16] = 12+6+3+1= 
12+6+3+1 = 22
22 . Hence 24
Answer: B
A rectangular grass field is 75 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? Answers
A) 2999 B) 1350 C) 2677 D) 2898 E) 2787

Solution: Area = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 2 = Rs.1350   Answer1350
Answer: B
Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen.  Choose one
A) Rs. 8.36 B) Rs. 9.36 C) Rs. 10.36 D) Rs. 11.36 E) Rs. 11.98

Solution: Let the original price per egg be Rs x   Then increased price will be,   (130/100 x)   =7.80/x −7.80/(130/100) x =3   =7.80/x −780/130x =3   =390x=234   x=0.6   Actual price was Rs 0.6   Present price per dozen will be   Rs.(12∗130/100 ∗0.6)=Rs.9.36   Answer : Rs. 9.36
Answer: B
Which of the following could be the value of x, if |-6x + 24| = 54? Choose the correct choice from the following answers:
A) 5
B) 1
C) 1/5
D) 12
E) -12

Solution: |-6x + 24| = 54   => -6x + 24 = 54   or -6x + 24 = -54   => -6x = 30 or -6x = -78   => x = -5 or x = 12   Answer 12
Answer: D
Juan is a gold medalist in athletics. In the month of May, if Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?  Choose the correct choice from the following choices:  A) 10x/y  B) 11x/y  C) 9x/y  D) 12x/y  E) 13x/y

Solution: velocity=distance/time;   since he ran at same rate both d tyms,   y/11=x/t   so t=11x/y   ANSWER:11x/y
Answer: B
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2.5% more. She would get how much? Choose the correct choice from the following
A) 9800
B) 96288
C) 26667
D) 1662
E) 2882

Solution: (8000*3*2.5)/100= 
(8000*3*2.5)/100 = 600
600   9200   --------   9800   9800nswer:9800
Answer: A
There are between 500 and 510 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? Choose the correct choice from the following choices.
A) 501
B) 503
C) 506
D) 507
E) 510

Solution: Let number of cards = x   If the cards are counted 3 at a time , there are 2 left over-   x= 3p+2   x can take values 503 , 506 , 510   If the cards are counted 4 at a time , there is 1 left over   x= 4q+1   x can take values 501 , 506   Therefore , x = 506   Answer 506
Answer: C