MU-NLPC/Calc-aqua_rat huggingface dataset:
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train? Choose the correct choice
A) 270 m
B) 280 m
C) 279 m
D) 282 m
E) 279 m

Solution: Relative speed = (72 - 36) * 5/18 = 2 * 5= 
2 * 5 = 10
10 mps.   Distance covered in 27 sec= 27 * 10= 
27 * 10 = 270
270 m.   The length of the faster train= 270 m.   270 mnswer: 270 m
Answer: A
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. 24,500. What was Simran's share in the profit?	Select the correct option:
A) 2888 B) 27798 C) 27766 D) 29971 E) 10500

Solution: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4   Simran's share = 24500 * 3/7   = Rs. 10500   Answer: 10500
Answer: E
7 people average age is 30. youngest person age is 5. find average of the people when youngest was born.
Choose the correct option:
A) 23
B) 24
C) 25
D) 26
E) 27

Solution: average age of people =30   so have total age =210   before 7 years we have to deduct each person age by seven years 210-35=161   so average age would be 175/7= 
175/7 = 25
25   ANSWER:25
Answer: C
Cars M and N are approaching each other on the same highway. Car M is moving at 45 mph northbound and Car N is moving at 55 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?	Choose the correct choice: A) 3:30 pm B) 3:45 pm C) 4:00 pm D) 4:15 pm E) 4:30 pm

Solution: Total distance, which should be covered by both cars is   190+35= 
  190+35 = 225
225 miles.   Let t be the time so the equation will be 45t+55t=225 thus,   t=2.25 hours   Answer: 4:15 pm
Answer: D
4 years ago, Paula was 4 times as old as Karl. In 4 years, Paula will be twice as old as Karl. What is the sum of their ages now?  Choose the correct choice from the following answers:
A) 22
B) 24
C) 26
D) 28
E) 30

Solution: P-4 = 4(K-4) and so P = 4K-12   P+4 = 2(K+4)   (4K-12)+4 = 2K+8   K = 8   P = 20   P+K = 28   The answer is 28.
Answer: D
A train 800 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 180 sec. The speed of the train is? Select:  A) 5 km/hr  B) 1 km/hr  C) 2 km/hr  D) 3 km/hr  E) 4 km/hr

Solution: Speed of the train relative to man = 800/180 = 40/9 m/sec.   = 40/9 * 18/5= 
40/9 * 18/5 = 16
16 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 15 = 16 => x = 1 km/hr.   Answer: 1 km/hr
Answer: B
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?  Pick one.
A) 5 square inches
B) 10 square inches
C) 16 square inches
D) 25 square inches
E) 350 square inches

Solution: In the first case each can buy one pizza of $10 and one pizza of $20.   In square inches that would be (8*8=64) for the small pizza and (12*12=144) for the large pizza. In total sq inches that would be  (64+144)*2= 
 (64+144)*2 = 416
416 sq inches.   In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be   3*144= 
  3*144 = 432
432 sq inches.   Hence, the difference is 16 square inches more (432-416).   The correct answer is 16 square inches
Answer: C
At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $35 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Choose the correct choice from the following options:
A) 291.67  B) 105  C) 301.05  D) 288  E) 249.55

Solution: System of Equations   a = (36/100) c   (1/3) a = 35 --> a = 105   Substitution   105 = (36/100) c   c = (100/36) 105   - You can do the ugly calculation 105/36 * 100   The Correct Answer is A.   The correct answer is 291.67
Answer: A
George baked a total of 50 pizzas for 5 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday? Choose the correct choice from the following answers.
A) 5
B) 4
C) 3
D) 2
E) 1

Solution: 3/5 of the 50 pizzas cooked on Saturday = 30 pizzas   3/5 of the remaining pizzas on Sunday = 12 pizzas   We're left with   (50-30-12)= 
  (50-30-12) = 8
8 pizzas for the remaining 3 days. The prompt tells us that each day has FEWER pizzas than the day before it, so we can't have duplicate numbers.   M T W   5 2 1=8   W=1   1
Answer: E
Excluding stoppages, the average speed of a bus is 50 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?	Choose the correct choice from the following.
A) 12 min
B) 18 min
C) 16 min
D) 20 min
E) 26 min

Solution: In 1hr, the bus covers 50 km without stoppages and 40 km with stoppages.   Stoppage time = time take to travel (50 - 40) km i.e 10 km at 50 km/hr.   stoppage time = 10/50 hrs   = 12 min   12 minnswer: 12 min
Answer: A
When x is divided by y, the quotient is z with remainder a. Which of the following is equal to a?	Choose the correct answer:
A) yz – x
B) y/x−z
C) x – y – z
D) x – yz
E) zx – y

Solution: (x/y)=z(+a)   (18/8)=2(+2)   x-yz   which is   18-(8*2)= 
  18-(8*2) = 2
2   Answer is x – yz
Answer: D
If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?
Pick one: A) 308 B) 154 C) 70 D) 44 E) 20

Solution: If x is divisible by 2,14 and 11,then x must be a multiple of 2,7 and 11.   Hence,the least multiple of x will be   2*7*11= 
  2*7*11 = 154
154.   ANSWER:154
Answer: B
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present? Answers.
A) 16 years  B) 18 years  C) 20 years  D) Cannot be determined  E) None of these

Solution: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.   Then, [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10   10(6x + 10) = 11(5x + 10) => x = 2   Sagar's present age = (5x + 6) = 16 years.   16 yearsNSWER:16 years
Answer: A
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 20, and the difference between the total number of strawberries and the total number of blueberries would increase by 80. Each blue box contains how many blueberries?  Choose the correct option:
A) 25
B) 30
C) 35
D) 40
E) 45

Solution: Let x be the number of blueberries in each blue box.   Then there are x+20 strawberries in each red box.   x+(x+20)=80   x = 30   The answer is 30.
Answer: B
210 university students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers? Select:	A) 25	B) 40	C) 50	D) 60	E) 75

Solution: We are told that60 Students claimed that they preferred Mac to Windows, which means that 60 preferred Mac but NOT Windows, so # of students who preferred Mac (P(A) as you wrote), does not equal to 60, it equals to 60+20 (20 is # of students who equally preferred both brands). Also we are asked to find # of the students who preferred Windows to Mac, so if you denote x as those who prefer Windows then you should calculate x-20.   So, if we use your formula it should be: 210={Mac}+{Windows}-{40oth}+{Neither}=(60+20)+x-20+90 --> x=60 (# of student who prefer Windows) --> # of the students who preferred Windows to Mac is x-20=40.
Answer: B
A and B can do a piece of work in 4 2/3 days and 5 days respectively. They work together for 1 days and then A leaves. In how many days after that B will complete the work alone.	Options:
A) 3.92 days B) 1.92 days C) 2.12 days D) 2.02 days E) 2.92 days

Solution: 3/14 * 1 + (1 + x)/5 = 1   x = 2.92 days   ANSW2.92 daysR:2.92 days
Answer: E
A person covers a distance in 9 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.  Choose the correct choice.
A) 18 m/s  B) 4 m/s  C) 15 m/s  D) 10 m/s  E) 6 m/s

Solution: 6 m/sxplanation:   T = 9 m   Spees = 12 kmph   = 12 x 5/18 = 10/3 m/s   Let new speed be "x"   9 x (10/3) = 5x   x = 6 m/s   Answer: Option 6 m/s
Answer: E
Find k if 16 / k = 4.	Choose the correct option:	A) 6	B) 7	C) 8	D) 4	E) 3

Solution: Since 16 /k = 4 and   16 / 4= 
  16 / 4 = 4
4, then   k= 4 correct answer 4
Answer: D
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 6 more than the average expenditure of all the nine. The total money spent by all of them was  Choose the correct answer:
A) 26
B) 40
C) 33.75
D) 27
E) None of the above

Solution: Let the average expenditure of all the ninte be x   Then, 3 × 8 + x + 6 = 9x   ⇒ x = 3.75   ∴ Total money spent = 9x = 9 × 3.75 = 33.75   Answer 33.75
Answer: C
60 boys can complete a work in 24 days.how many men need to complete twice the work in 20 days
Choose the correct option.
A) 144 B) 170 C) 180 D) 190 E) 200

Solution: one man can complete the work in 24*60= 
24*60 = 1_440
1440 days= one time work   to Complete the work twice it will be completed in   let M be the no. of worker assign for this therefore the eqn becomes   M*20=2*1440   M=144 workers   144NSWER:144
Answer: A
Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?	Choose the correct choice from the following options:
A) 2:3  B) 3:5  C) 4:5  D) 4:7  E) 5:9

Solution: Lett. mixtures of the two containers be added together in the ratio of x   = = [ixoox l00%   Since the percentage quantity ofmilk in the new mixture is SO% — so% (45x + 42y) x 5 4 x 54(x y) 225x 210y 216.3E+216y   9x=6y   x:y=2:3   2:3
Answer: A
Ram professes to sell his goods at the cost price but he made use of 970 grms instead of a kg, what is the gain percent?  Select the correct option:
A) 11 1/7%  B) 3.09%  C) 11 1/9%  D) 71 1/9%  E) 11 1/2%

Solution: 970 --- 30   100 --- ? => 3.09%   Answer:3.09%
Answer: B
The end of a blade on an airplane propeller is 5 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Choose the correct answer
A) 200π  B) 240π  C) 300π  D) 480π  E) 150π

Solution: Distance traveled in 1 revolution = 2πr= 2π5/5280   Revolutions in one second= 1320   Revolutions in 60 seconds (one minute)= 1320*60   Total distance traveled= total revolutions *distance traveled in one revolution   1320*60 *2π5/5280= 150π   150π is the answer
Answer: E
Is 2 a prime number or a composite number?	Choose the correct answer.
A) prime number	B) composite number	C) both prime composite number	D) Not prime composite number	E) Don't Know

Solution: prime number Prime Number can be divided evenly only by 1 or itself   So 2 is prime number
Answer: A
Each of three different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned? Options
A) 1/8
B) 1/6
C) 1/9
D) 3/8
E) 1/2

Solution: I was just going over probability questions.   can some one explain me what's wrong in my approach here.   Probability of choosing one right key out of 3 is 1/3.   Probablity of choosing another right key is 1/3.   since the question is asking for 2 right keys , probability is multiplication of both = 1/3 * 1/3 = 1/9.   Ans 1/9
Answer: C
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.  Answers:	A) 2	B) 4	C) 6	D) 5	E) 3

Solution: Speed downstream = (13 + 4) km/hr = 17 km/hr.   Time taken to travel 68 km downstream = 68/17= 
68/17 = 4
4 hrs   Ans - 4
Answer: B
A board 8ft. 9 inches long is divided into 3 equal parts . What is the length of each part? Select:  A) 5ft. 7 inches  B) 2ft. 11 inches  C) 4ft. 7 inches  D) 2ft. 7 inches  E) 1ft. 7 inches

Solution: Length of board=8ft. 9 inches=(8*12+9)= 
(8*12+9) = 105
105 inches.   Therefore, Length of each part= (105/3)= 
(105/3) = 35
35 inches= 2ft. 11 inches   Answer is 2ft. 11 inches.
Answer: B
nd the area of trapezium whose parallel sides are 20 cm and 16 cm long, and the distance between them is 15 cm? Answers:
A) 270cm2  B) 275cm2  C) 280cm2  D) 285cm2  E) 290cm2

Solution: 270cm2rea of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)   = 1/2 (20 + 16) * (15)   = 270 cm2   270cm2nswer:270cm2
Answer: A
The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.  Answers:	A) 259200 cm3	B) 86400 cm3	C) 720 cm3	D) Cannot be determined	E) None of these

Solution: Volume of the box = √120×72×60 = 720 cm3   Answer 720 cm3
Answer: C
Mark drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the
rest of the driving evenly between them. If the entire trip was 128 miles, how many miles did Kaitlyn
drive? Pick.
A) 26 miles  B) 16 miles  C) 20 miles  D) 18 miles  E) 17 miles

Solution: 1/2 x 128 = 64 miles Mark drove   1/4 x 128 = 32 miles Justin drove    64 + 32= 
 64 + 32 = 96
96 miles driven    128 - 96= 
 128 - 96 = 32
32 miles left   32 ÷ 2= 16 miles driven by Kaitlyn   correct answer 16 miles
Answer: B
Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)F can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?  Pick one:
A) 660  B) 600  C) 500  D) 300  E) 240

Solution: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,F if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is 240 that is 240
Answer: E
An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?  Options:
A) 25
B) 35
C) 150
D) 210
E) 300

Solution: I get C. If I see this on the test, id prolly get to 210 and then guess A B or C.   OK so for the first position we have only 2 possibilities ( proj manager) 3 for the team leader so and 7!/3!4! for the consultants   2*3*35 --> 210   Now I dunno how to figure out the constraints quickly but I eventually figured it out. Obvs. we want to figure out the total ways in which the two ARE on the same team.   I did it by AB are the two and XYZFN are the rest   ABXO (O stands for the other 4) So the first is ABXY, Z,F,N 4 possible choices   The next is   ABYO (but notice we already had YX so there are only 3 possible choices)   ABZO   ABFO   ABNO No possible here we used them all up   So  4+3+2+1= 
 4+3+2+1 = 10
10   SO now its   2*3*10= 
  2*3*10 = 60
60   So 210-60= 
210-60 = 150
150   ANS:150
Answer: C
A cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? Select.
A) 33
B) 88
C) 40
D) 99
E) 112

Solution: 1/14 - 1/x = 1/16   x = 112   Answer: 112
Answer: E
If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be	Pick
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Sol.   a3 = 6a2   ⇒ a = 6.   Answer 6
Answer: D
Sachin Tendulkar bough a red ferrari with a strange 5 digit numbered plate.The water image of the number is 78633 more than my car number.All the digits of sachin's car number are distinct. What is the original number on sachin's number plate? Choices:
A) 15468	B) 10558	C) 14298	D) 10668	E) 10968

Solution: 10968   10968   Water image is 89601
Answer: E
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?  Choose the correct choice:	A) 22 seconds	B) 65 seconds	C) 78 seconds	D) 12 seconds	E) 21 seconds

Solution: Speed of the boat downstream   = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds.   Answer:12 seconds
Answer: D
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x+4)(x+10)(2x-5) = 0?	Choose the correct choice
A) 1/12	B) 1/6	C) 1/4	D) 1/3	E) 1/2

Solution: Roots of the equation (x-5)(x+10)(2x-5)=0 are x=-4,x=-10andx=5/2=2.5. So, three solutions present in our set of 12 distinct numbers, therefore P=3/12=1/4.   Answer: 1/4.
Answer: C
of polynomial for degree of x>+1 where f(x2)=f(x)2=f(f(x))	Choose the correct choice from the following.
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Let f(x) = x2   f(x2)=[x2]2=x4   (f(x))2=[x2]2=x4   f(f(x))=f(x2)=[x2]2=x4   Only 1   ANSWER:1
Answer: B
How many words can be formed by using all letters of the word “BIHAR”
Answers
A) 120 B) 240 C) 150 D) 160 E) 140

Solution: The word BIHAR contains 5 different letters.   Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120.   120nswer 120.
Answer: A
The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is Choose one.
A) Rs.5342 B) Rs.4325 C) Rs.5324 D) Rs.3425 E) Rs.3525

Solution: 5324   ANSWER:Rs.5324
Answer: C
A man can row a boat at 36 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 100 km upstream?
Choose the correct answer.
A) 10/3	B) 10/7	C) 10/9	D) 10/11	E) 10/13

Solution: Speed upstream = 36-6= 
36-6 = 30
30 kmph.   Time required to cover 100 km upstream= d/s = 100/30 = 10/3 hours. 10/3nswer:10/3
Answer: A
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Answers
A) 7500 B) 2776 C) 2877 D) 2667 E) 2671

Solution: P = (d * 1002) / R2   => (48 * 100 * 100) / 8 * 8 = Rs.7500   7500nswer:7500
Answer: A
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? Choose the correct choice from the following answers.
A) 42, 33
B) 42, 36
C) 44, 33
D) 44, 36
E) 45, 38

Solution: Explanation:   Let the marks secured by them be x and (x+9)   sum of their marks =x+(x+9)=2x+9   Given that (x+9) was 56% of the sum of their marks   =X+9=56/100(2X+9)   X=33   Then (x+9)=33+9= 
33+9 = 42
42   Hence their marks are 33 and 42   42, 33NSWER IS 42, 33
Answer: A
In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ?
Choose the most appropriate option.
A) 2/3	B) 5/8	C) 5/9	D) 3/7	E) 4/7

Solution: Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.   ∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]   = 1/4 [(4 + 3 + 2 + 1)/4] = 5/8   5/8
Answer: B
On dividing 190 by a number, the quotient is 9 and the remainder is 1. Find the divisor?  Pick:
A) A)12
B) B)15
C) C)16
D) D)17
E) E)21

Solution: d = (D-R)/Q   = (190 - 1)/9   = 189/9= 
189/9 = 21
21   21)
Answer: E
The average mark of the students of a class in a particular exam is 90. If 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam?
Options
A) 10 B) 40 C) 20 D) 30 E) 25

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 90 x.   Total marks of (x - 2) students = 95(x - 2)   90x - (2 * 45) = 95(x - 2)   100 = 5x => x = 20   Answer: 20
Answer: C
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly six elements each? Pick.
A) 96 B) 80 C) 84 D) 88 E) 92

Solution: n842 = 36   => n*(n-1)/2 = 36 by middle term factor and n cannot be negative   => n = 9   n843 = 9846 = 9!/6!*(9-6)!= 9*8*7*6!/6!*3*2 =84   So, Answer is 84.
Answer: C
The length, breadth and height of a room are in the ratio 4 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Pick one.
A) (a) decrease by 37.5%	B) (b) decrease by 13.64%	C) (c) decrease by 15%	D) (d) decrease by 18.75%	E) (e) decrease by 30%

Solution: Length (L) = 4   Breadth (B) = 4   Height (H) = 2   Total Area of Walls = 2(BH + LH) = 2*(4*2 + 4*2) = 2*(8+8)= 
2*(8+8) = 32
32   Then, Finally   Length (L)= 2*4= 
2*4 = 8
8   Breadth (B)= 4/2= 
4/2 = 2
2   Height (H)= 2/2= 
2/2 = 1
1   Total Area of Walls= 2(BH + LH) = 2*(2*1 + 8*1) = 2*(2+8)= 
2*(2+8) = 20
20   % change in Area of four walls= (Final Area-Initial Area)*100 /Initial Area   i.e. % change in (a) decrease by 37.5%rea of four walls = (20-32)*100 /32=- 37.5% (Decrease)   (a) decrease by 37.5%nswer: Option (a) decrease by 37.5%
Answer: A
If Z= Y^2 + d W+ 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9  Choose the correct choice from the following:
A) III only
B) II only
C) I and II only
D) II and III only
E) I and III only

Solution: Here C is the answer as A and B statements will provide the discriminant to be negative thereby making the x axis cutting impossible.   Hence only 1 and 2   thus I and II only
Answer: C
The number of stamps that P and Q had were in the ratio of 7:4 respectively. After P gave Q 8 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q?  Pick one: A) 4 B) 8 C) 12 D) 16 E) 20

Solution: P started with 7k stamps and Q started with 4k stamps.   (7k-8)/(4k+8) = 6/5   35k - 24k = 48 + 40   11k = 88   k = 8   P has 7(8) - 8 = 48 stamps and Q has 4(8)+8 = 40 stamps.   The answer is 8.
Answer: B
How many positive even integers less than 100 contain digits 5 or 7?	Choose the correct choice from the following answers.
A) 10
B) 17
C) 18
D) 19
E) 20

Solution: Two digit numbers:   5 at tens place: 50,52,54,56,58   7 at tens place: 70,72,74,76,78   If 5 and 7 is at units place, the number cant be even   Total:5+5= 
5+5 = 10
10   10nswer 10
Answer: A
3^b + 3^b + 3^b =  Answers:
A) 7^b B) 7^(b + 1) C) 7^(7b) D) 3^(b + 1) E) 49^B

Solution: Easy one.   3*3^b = 3^(b+1)   Ans. 3^(b + 1)
Answer: D
A and B go around a circular track of length 150 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?  Choose one.
A) 30 sec	B) 198 sec	C) 178 sec	D) 665 sec	E) 276 sec

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 { 150/ (36 * 5/18) , 150/ (54 * 5 /18) }   = LCM (15, 10) = 30 sec.   30 secnswer:30 sec
Answer: A