MU-NLPC/Calc-aqua_rat huggingface dataset:
Of the three- digit integers greater than 700, how many have two digits E that are equal to each other and the remaining digit different from the other two? Answers.
A) 90  B) 82  C) 80  D) 45  E) 36

Solution: three-digit integers greater than 700: 701 to 999, inclusive.   possible values for hundreds-digit--> 7,8,9   possible values for tens-digit and ones-digit --> 0, 1,2,3,4,5,6,7,8,9   when hundreds-digit and tens-digit are the same: (3x1x10)-3=27 ---> we minus three to exclude 777, 888 and 999   when hundreds-digit and ones-digit are the same: (3x10x1)-3=27 ---> we minus three to exclude 777, 888 and 999   when tens-digit and hundreds-digit are the same:[(3x10x1)-3]-1=26 ---> we minus three to exclude 777, 888 and 999; we minus one to exclude 700   E=27+27+26= 
27+27+26 = 80
80   Answer: 80
Answer: C
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?	Choose the correct choice from the following answers:
A) 77 cm2 B) 26 cm2 C) 87 cm2 D) 26 cm2 E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 28/2= 
2.5 * 28/2 = 35
35 cm2   Answer: 35 cm2
Answer: E
The number which exceeds 16% of it by 21 is :  Choose the correct answer:
A) 25
B) 52
C) 58
D) 60
E) 62

Solution: Solution   Solution   Let the number be x.   x-16% of x =21   x-16/100x =21   x-4/25x=21   21/25x=21   x=(21x25/21)= 25   25nswer 25
Answer: A
If 5 < x < 11 and y = x + 7, what is the greatest possible integer value of x + y?	Choose the correct option.
A) 26 B) 27 C) 28 D) 29 E) 30

Solution: x+y = x+x+7 = 2x+7   We need to maximize this value and it needs to be an integer.   2x is an integer when the decimal of x is .0 or .5   The largest such value is 10.5   Then x+y = 10.5 + 17.5= 
10.5 + 17.5 = 28
28.   The answer is 28.
Answer: C
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Choose one.
A) 68 %	B) 83.33%	C) 59%	D) 74.1%	E) 69

Solution: Explanation:   Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.   Answer:59%
Answer: C
A person incurs a loss of 5% be selling a watch for Rs. 1140. At what price should the watch be sold to
earn 5% profit.	Select.
A) Rs.1200
B) Rs.1230
C) Rs.1260
D) Rs.1290
E) None of these

Solution: Explanation:   Let the new S.P. be x, then.   (100 - loss%):(1st S.P.) = (100 + gain%):(2nd S.P.)   =>(951140=105x)=>x=1260   Answer: Rs.1260
Answer: C
What is the next number in the sequence : 10,11,13,17,25,32,37,47, __?	Choose the correct choice from the following options:  A) 59  B) 53  C) 51  D) 58  E) 52

Solution: next no. = previous + (sum of digits)   10 + (1+0)= 
10 + (1+0) = 11
11   11 + (1+1)= 
11 + (1+1) = 13
13   13 + (1+3)= 
13 + (1+3) = 17
17   17 + (1+7)= 
17 + (1+7) = 25
25   25 + (2+5)= 
25 + (2+5) = 32
32   32 + (3+2)= 
32 + (3+2) = 37
37   37 +(3+7)= 
37 +(3+7) = 47
47   47 + (4+7)= 
47 + (4+7) = 58
58   ANSWER:58
Answer: D
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Choose one:
A) 10000	B) 2777	C) 2657	D) 2876	E) 2868

Solution: 100 * 100= 
100 * 100 = 10_000
10000   125 * 80= 
125 * 80 = 10_000
10000   No change   10000nswer: 10000
Answer: A
John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30km per hour. The average speed of the John in the whole length of journey is?  Choose the correct choice from the following options:  A) 16 km/hr  B) 20 km/hr  C) 24 km/hr  D) 28 km/hr  E) 29 km/hr

Solution: Let distance between his home and hospital =   d   d km   Total distance travelled   =   d   +   d   =   2   d   =d+d=2d km   Total time taken   =   d   60   +   (   d   2   )   10   +   (   d   2   )   30   =d60+(d2)10+(d2)30   =   d   60   +   d   20   +   d   60   =   5   d   60   =   d   12   =d60+d20+d60=5d60=d12 hr   Average speed in the whole journey   =   2   d   (   d   12   )   =   2   d   ×   12   d   =   24   =2d(d12)=2d×12d=24 km/hr   24 km/hr
Answer: C
How many total number of ways in which x distinct objects can be put into two different boxes is Options.
A) n2  B) 2x  C) 2n  D) 3n  E) None of these

Solution: Let the two boxes be B1 and B2. There are two choices for each of the x objects. So, the total number of ways is   2 × 2 ×.....× 2 (x times ) = 2x   Answer 2x
Answer: B
Two dice are rolled. The probability of getting a sum of at least 9 is
Choose one:
A) 13/36
B) 5/18
C) 35/36
D) 11/36
E) 15/36

Solution: Sum of 9 = {(3,6) (6,3)} = 2ways.   Sum of 10 = {(5,5) (6,4) (4,6) (5,5)} = 4 ways.   Sum of 11 = {(6,5) (5,6)} = 2 ways.   Sum of 12 = {(6,6) (6,6)} = 2 ways.   Therefore, Favourable cases = 10   Total cases = 6 x 6 = 36.   Therefore, Probability = 10/36 = 5/18.   ANSWER:5/18
Answer: B
An unbiased die is tossed. Find the probability of getting a multiple of 3.	Answers.
A) 1/2	B) 1/6	C) 2/3	D) 1/3	E) 1/4

Solution: here s= {1,2,3,4,5,6}   let E be the getting of a multiple of 3.   then E = {3,6}   probability = 2/6 = 1/3   correct option is 1/3
Answer: D
when i was of 2 years old, my sister's age was half of mine..
now i am of 100..
what is the age of my sister?? Select the correct option
A) 98	B) 99	C) 97	D) 95	E) 94

Solution: 99,one less than me.   ANSWER:99
Answer: B
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 5:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?	Pick.
A) 1/4	B) 1/8	C) 1/6	D) 1/2	E) 1

Solution: Red: Blue = 5:5   Let Red = 5x and Blue = 5x   1/3 of Red are left handed => 1/3 * 5x = 5x/3 Red left handed   2/3 of Blue are left handed => 2/3 *5x = 10x/3 blue left handed   fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (5x/3 + 10x/3)/(5x+5x) = (15x/30x) = 1/2   Answer : 1/2
Answer: D
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?  Choose the correct choice from the following answers:
A) Rs.28,029 B) Rs.28,020 C) Rs.28,298 D) Rs.28,000 E) Rs.28,022

Solution: 3:1   2:1   ------   6:1   1 ----- 4000   7 ----- ? => Rs.28,000   Answer: Rs.28,000
Answer: D
The profit obtained by selling an article for Rs. 54 is the same as the loss obtained by selling it for Rs. 40. What is the cost price of the article?
Options:	A) Rs. 40	B) Rs. 50	C) Rs. 49	D) Rs. 59	E) Rs.47

Solution: S.P 1- C.P = C.P – S.P 2   54- C.P = C.P - 40   2 C.P = 54 + 40;   C.P = 94/2= 
94/2 = 47
47   ANSWRs.47R:Rs.47
Answer: E
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is Pick one:
A) 1200
B) 1764
C) 1600
D) 1354
E) None of these

Solution: Explanation:   Let P.W. be Rs.x.   Then, S.I. on Rs. x at 16% for 9 months = Rs. 189.   x × 16 × (9/12) × (1/100) = 189 or x = 1575.   P.W. = Rs. 1575.   Sum due = P.W. + T.D. = Rs.(1575   189) = Rs. 1764.   Answer: 1764
Answer: B
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Choose the correct choice from the following options:
A) 299 B) 112 C) 500 D) 167 E) 123

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer:500
Answer: C
A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?  Choose the correct choice:
A) 21	B) 6	C) 7	D) 8	E) 9

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [385 * 3/55= 
385 * 3/55 = 21
21 sec   21nswer: 21
Answer: A
Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 50 percent. At the same time, it decreased its total working hours by 0 percent. By what percent did this factory increase its output per hour? Choose the correct choice from the following answers:	A) 125	B) 130	C) 150	D) 155	E) 160

Solution: Lets assume the initial production was 100 litres of beer for 100 hr.   With the 50% increase the total amount of beer production will be 150 litres   100hr ----> 100 lts   1hr -----> 1 lts   100hr -----> 150 lts   1hr -----> 1.5 lts   Total Increase in production for 1 hr = 150%   Answer 150
Answer: C
Insert the missing number.
3, 9, 6, 6, 9, 3, 12, 0, 15, (....)  Choose the correct choice:
A) 3
B) 7
C) -3
D) 8
E) -45

Solution: Explanation:   There are two series, beginning respectively with 3 and 9. In one 3 is added and in another 3 is subtracted.   The next number is 0 - 3 = -3.   Answer: -3) -3
Answer: C
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 50 per cent. The two reductions together are equal to a single reduction of
Choices.
A) 45%	B) 62.5%	C) 35%	D) 32.5%	E) 30%

Solution: Price = p   initially price reduced by 25% which means new price is 3/4P   Now on this new price further 50percent is reduced which means the new price is merely 50percent of 3/4P   ==> (3/4)x(1/2)P = 3/8P is the new price after both deduction which is 37.5percent of the original value P. This implies this entire series of deduction is worth having discounted 62.5% of P. So answer is 62.5% = 62.5%
Answer: B
A certain city with a population of 180,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choose the correct choice from the following answers
A) a) 10,700
B) b) 15,000
C) c) 10,900
D) d) 11,000
E) e) 11,100

Solution: Let x = number of people in smallest district   x*1.1 = number of people in largest district   x will be minimised when the number of people in largest district is maximised   10*x*1.1 = 11x = total number of people in other districts   So we have 11x + x = 180k   x = 15,000   Answer : b) 15,000
Answer: B
A ship sails 4 degrees north, then 13 S. then 17 N. then 24 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Answers.
A) 5 B) 1 C) 2 D) 3 E) None of these

Solution: Let x = the latitude sought.   Then marking the northings +, and the southings -;   By the statement x + 4 - 13 + 17 - 24 = -11   And x = 5.   5nswer 5
Answer: A
In 1990 a total of u earthquakes occurred worldwide, some but not all of which occurred in Asia. If v o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?	Select:
A) u/v
B) v/u
C) v/(u-v)
D) u/(u-v)
E) 1- (v/u)

Solution: We're given a couple of facts to work with:   1) There were a total of u earthquakes   2) Of those earthquakes, v of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Let's TEST VALUES   u = 5 total earthquakes   v = 2 occurred in Asia   Thus, there were 3 earthquakes that DID NOT occur in Asia....   The answer to the question is 2:3   We just need to plug in the values for u and v and find the match...   Answer A: u/v = 5/2 NOT a match   Answer B: v/u = 2/5 NOT a match   Answer v/(u-v): v/(u-v) = 2/(5-2) = 2/3 This IS a match   Answer D: u/(u-v) = 5/(5-2) = 5/3 NOT a match   Answer E: 1 - (v/u) = 1-2/5 = 3/5 NOT a match   v/(u-v)
Answer: C
Hannah and Jake race around a running track. Hannah runs at a constant rate of one lap every 2 minutes and Jake runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Hannah to get exactly one lap ahead of Jake? Choose the correct choice from the following options: A) 3/5 B) 5/3 C) 7/3 D) 10/3 E) 10/7

Solution: Let x be the number of minutes it takes for Hannah to get one lap ahead.   Then Hannah ran x/2 laps and Jake ran x/5 laps.   x/2 = 1+x/5   5x=10+2x   3x=10   x=10/3   The answer is 10/3.
Answer: D
Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 4 time, no apples were left.How many apples were there?
Answers
A) 4098	B) 4096	C) 4000	D) 4090	E) 4095

Solution: Whenever the rate of reduction is 'half of the total and half of it', the answer is always (2^n)-1, where 'n' is the number of times the process is repeated. Here, the process is repeated 12 times. So answer is (2^12)-1=4095.   ANSW4095R:4095
Answer: E
A car covers a distance of 829 km in 7 hours. Find its speed?
Select the correct option:
A) 104 kmph	B) 289 kmph	C) 118 kmph	D) 277 kmph	E) 177 kmph

Solution: 829/7   = 118 kmph   Answer: 118 kmph
Answer: C
A 24 month project had a total budget of $44,400. After seventeen months, the project had spent $29,375. At this point, how much was the project under budget?  Choose the correct option:
A) $1850	B) $1925	C) $2000	D) $2075	E) $2150

Solution: Each month, the project should spend $44,400 / 24 = $1850.   In 17 months, the project should spend 17*$1850=$31,450.   The project is under budget by $31,450 - $29,375 = $2075.   The answer is $2075.
Answer: D
The average of 13 numbers is 17.8. If the average of the first seven numbers is 17.6 and that of the last seven numbers is 17.4,then the middle number is?  Choose the correct choice from the following choices.
A) 11.8 B) 11.9 C) 12.2 D) 13.6 E) 12.7

Solution: Middle number = 17.6*7 + 17.4*7- 17.8*13 = 123.2+121.8-231.4= 
123.2+121.8-231.4 = 13.6
13.6   Answer is 13.6
Answer: D
If $500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?	Choose one:
A) 500 (1.056)(3)
B) 500 (3+1.056)
C) 500 (1+3(0.056))
D) 500 (1.056)^3
E) 500 (1+(0.056)^3)

Solution: the formula is CI=P(1+r/100)^t   in this case i think 500 (1.056)^3 is the ans
Answer: D
20% of incoming freshman at a certain university have taken a calculus course. Among the incoming freshman who have not taken a calculus course, 148 have taken a pre-calculus course and 44 havent taken a precalculus couse. how many incoming freshman are there in the university? Pick one:	A) 60	B) 120	C) 180	D) 240	E) 300

Solution: Soln:-   let the total incoming freshman be x.   given 20x/100 have taken calculus 1.   80x/100 have not taken calculus 1.   also given 80x/100 = 148+44   => x = 240   ANSWER:240
Answer: D
6 friends go out to dinner at Outback Steakhouse. The total of their meal comes to 118.60 without a tip. They decide to leave a 20% tip to the waitress. They want to split the costs if the bill including the tip evenly among them. How much does each person have to pay if the bill is split evenly?
Choose the correct choice from the following:
A) 19.77 B) 71.16 C) 18.6 D) 23.72 E) 42.32

Solution: The amount of the tip= 118.60*.20= 
118.60*.20 = 23.72
23.72   118.60+23.62= 142.32 = amount of bill after the tip   142.32/6= 
142.32/6 = 23.72
23.72= amount each person must pay   The answer is 23.72.
Answer: D
How many words can be formed by using all letters of the word “BIHAR”	Pick one:
A) 240	B) 175	C) 120	D) 132	E) 451

Solution: The word BIHAR contains 5 different letters.   Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120   Ans: 120
Answer: C
A number x is multiplied by 5, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ? Choose the correct choice from the following choices.
A) 25/9  B) 9/5  C) 5/3  D) 3/5  E) 9/25

Solution: sqrt(5x/3) to be perfect square x has to 5/3   Ans: 5/3
Answer: C
The average earning of a mechanic for the first 4days of a week is Rs.18 and for the last four days is Rs.22. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?  Choose the correct choice from the following answers.
A) Rs. 10	B) Rs. 20	C) Rs. 30	D) Rs. 40	E) Rs. 50

Solution: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x18 + 4 x 22 -20   = Rs. 140   ∴ Average earning = 140 / 7   = Rs. 20   Rs. 20
Answer: B
Jar A has 26% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?  Choose the correct choice from the following.
A) 7.6%  B) 8.3%  C) 9.6%  D) 10.3%  E) 11.5%

Solution: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 126 marbles. Now, for both jars to have equal marbles we should move 13 marbles from A to B, which is 13/126=~10.3% of A.   Answer: 10.3%.
Answer: D
Mary’s father is four times as old as Mary. Five years ago he was seven times as old. How old is mary?	Choose the correct answer
A) 6
B) 8
C) 10
D) 12
E) 15

Solution: The problem involves age.   The question asks, “How old is each now?”, which means it’s asking for the ages of both   Mary and her father.   Let x Mary’s current age   4x Mary’s father’s current age   x-5 Mary’s age 5 years ago   4x-5 Mary’s father’s age 5 years ago   The problem states that 5 years ago, Mary’s father’s age 4x-5 was equal to seven   times Mary’s age7(x-5)   Write the equation.   4x-5=7(x-5)   4x-5=7x-35   30=3x   x=10   4x=40   Mary’s current age is 10 years old   correct answer 10
Answer: C
The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.10 in 1970 was 150 percent of its price in 1960, what was its price in 1980?  Choose the correct choice from the following choices
A) a) $ 1.65 B) b) $ 2.00 C) c) $ 2.40 D) d) $ 2.70 E) e) $ 3.00

Solution: The price in 1970 was 150 percent of its price in 1960, means that the percent increase was 50% from 1960 to 1970 (and from 1970 to 1980).   Therefore the price in 1980 = $1.1*1.5 = $1.65.   a) $ 1.65nswer: a) $ 1.65.
Answer: A
There are 10 oranges on a table, and a pair of oranges is to be selected. At most, how many different pairs are possible?
Choose the correct choice
A) 100 B) 90 C) 50 D) 45 E) 25

Solution: N=10C2=10!/(8!2!)=10*9/2= 
10*9/2 = 45
45   Correct Answer: 45
Answer: D
Tary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choose the most appropriate option:	A) $30	B) $35	C) $70	D) $105	E) $210

Solution: Tary spent 2⁄5 of her money on new clothes but if you see 21 is half of 3/5 money so 210 is too huge to be correct..   solution..   let the money be x..   2/5 is used...   1/2 of remaining 3/5 is put in savings account and remaining half is 21..   so 1/2 * 3/5 *x=21..   x=21*2*5/3=70..   $70
Answer: C
John deposited $10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?  Choose the correct choice.
A) $10,101
B) $10,609
C) $10,209
D) $10,601
E) $10,404

Solution: 12 percent annual interest compounded quarterly --> 3% in 3 moths.   For the first 3 moths interest was 3% of $10,000, so $300;   For the next 3 moths interest was 3% of $10,000,plus9 earned on previous interest of $100, so $300+$9=$309;   Total interest for 6 months was $300+$309  300+ 9= 
  300+ 9 = 309
$309;   Total interest for 6 months was $300+$309=$609, hence balance after 6 months was $10,000+ $609 300+ 309= 
 300+ 309 = 609
$609, hence balance after 6 months was $10,000+ $609=$10,609.   Answer: $10,609.
Answer: B
10 men,working 6 hours a day can complete a work in 18 days.How many hours a day must 15 men work to complete the same work in 12 days ?
Choose the correct choice
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: Solution   Let the required number of hours per day be x.   More men,Less hours per day (Indirect Proportion)   Less days,More hours per day (Indirect Proportion)   ∴ 15 × 12 × x = 10 × 18 × 6 ⇔ x = 10x18x6/15x12 = x= 6. 6nswer 6
Answer: A
How many positive 5-digit integers have the odd sum B of their digits?	Answers: A) 9*10^2 B) 9*10^3 C) 10^4 D) 45*10^3 E) 9*10^4

Solution: We are looking at numbers between 10000 and 99999 both inclusive.   There are 90000 numbers.   Now for   10000 : sum of digits is odd;   10001 :sum of digits is even;   10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.   (Exception for the above statement :   When it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd   and this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)   This means exactly half of the numbers will have odd sum of their digits. i.e 45000   Answer :45*10^3
Answer: D
In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 15, what is the greatest possible value of B x A? Pick one
A) 0 B) 15 C) 25 D) 30 E) 35

Solution: I also was confused when I was looking forabove number:D   As far as I understood, 15 is a factor of AB. In other words, the values of B (units digits can be 5 or 0. Better to have option for 5 in this case to havebigger result). Now let's try 15x1 (A=1, B=5 respectively we have =5). To ensure, let's check (avoid even multiples of 2,4,6,8 etc (we will have 0 in units thus making our result 0)   15x3 = 45 (A=4 B=5 respectively. Hey! that's 20. But we don't have this number in answer choices, move on).   15x5= 75 (A=7, B=5 respectively. Increasing trend , we have 35 now)   15x7= 105 (A=0, B=5. Have 0 now. can create a pattern)   IMO 35.
Answer: E
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices
A) 228 B) 108 C) 1266 D) 188 E) 211

Solution: S = 180/6 * 18/5= 
180/6 * 18/5 = 108
108 kmph   Answer: 108
Answer: B
How many 5-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
Choose the most appropriate option:  A) 1236  B) 3024  C) 4096  D) 4608  E) 36864

Solution: First digit.. 9 posibilities   Second digit, 8 possibilities   third digit, 8 possibilities   Fourth digit, 8 possibilities.   9*8*8*8*8 = 36,864.   36864
Answer: E
What is the product of all the possible values of x if x^2 - 2x - 8?
Choose the correct choice from the following.
A) –29	B) –12	C) -8	D) 29	E) 168

Solution: Explanation:   => y= x^2 - 2x - 8   => y= (x+2) (x-4)   => x= -2, y= 4   Product x = (-2)(4) = -8   answer option -8   ANSWER:-8
Answer: C