MU-NLPC/Calc-aqua_rat huggingface dataset:
loga (ab) = x, then log b (ab) is :  Choose the correct answer:
A) 1/x  B) x/ (x+1)  C) x/(1-x)  D) x/(x-1)  E) x/(x-2)

Solution: loga (ab) = x => log b/ log a = x => (log a + log b)/ log a = x   1+ (log b/ log a) = x => log b/ log a = x-1   log a/ log b = 1/ (x-1) => 1+ (log a/ log b) = 1 + 1/ (x-1)   (log b/ log b) + (log a/ log b) = x/ (x-1) => (log b + log a)/ log b = x/ (x-1)   =>log (ab)/ log b = x/(x-1) => logb (ab) = x/(x-1)   ANSWER:x/(x-1)
Answer: D
A certain school principal must choose 5 students to attend a field trip out of a group of 9 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?	Options
A) 1,260	B) 2,520	C) 5,040	D) 6,020	E) 10,080

Solution: 5 students can be selected out of 9 students in 9C5 ways.   out of the remaining 5 students,Note taker can be chosen in 5 ways.   Finally only 4 students remain from which we can choose a treasurer in 4 ways.   Total number of ways = 126 * 5 *4= 
126 * 5 *4 = 2_520
2520   correct answer - 2,520
Answer: B
A train covers a distance of 18 km in 10 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?
Choose the correct choice from the following answers.
A) 120m B) 180m C) 270m D) 220m E) 280m

Solution: Speed = (18/10 * 60) km/hr = (108 * 5/18) m/sec = 30 m/sec.   Length of the train = 30 * 9= 
30 * 9 = 270
270 m.   ANSWER:270m
Answer: C
If A's salary is 20% less than B's salary, by how much percent is B's salary more than A's?	Choose the correct option:	A) 5%	B) 10%	C) 15%	D) 25%	E) None

Solution: Solution   Required percentage   ‹=› [20 / (100 - 20) x 100]%   ‹=› 25%   Answer 25%
Answer: D
what is the ratio of two no. 5xy and 8xy.  Select
A) 2:5  B) 3:4  C) 5:8  D) 2:3  E) 1:2

Solution: 5xy/8xy   =5:8   answer 5:8
Answer: C
Alfred buys an old scooter for $4700 and spends $600 on its repairs. If he sells the scooter for $5800, his gain percent is?	Choose the correct choice.
A) 5.45%  B) 6.23%  C) 7%  D) 9.43%  E) 10%

Solution: C.P. = 4700+600= 
4700+600 = 5_300
$5300   S.P.= $5800   Gain = 5800-5300= 
5800-5300 = 500
$500   Gain%= 500/5300 * 100 = 9.43%   Answer is 9.43%
Answer: D
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?	Pick one: A) 127 B) 200 C) 882 D) 272 E) 323

Solution: The number of ways to select two men and three women   = ⁵C₂ * ⁶C₃   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   Answer: 200
Answer: B
If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 8 children have two children of the same sex and one of the opposite sex?
Pick:
A) 1/3
B) 2/3
C) 1/4
D) 1/16
E) 3/5

Solution: No of ways of selecting a gender - 2C1   No of ways of selecting any 2 children out of 8 = 8C2   Total possible outcomes - 2^8 (each child can be either a girl or a boy)   Probability=2C1*8C2/2^8= 2*8/2*2*2*2*2*2*2*2=16/256=1/16   Ans=1/16
Answer: D
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?  Choose the correct answer:
A) 30 kmph	B) 38 kmph	C) 24 kmph	D) 34 kmph	E) 04 kmph

Solution: Distance from A and B be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/20) + (d/30)]   = (2d)/[5d/60) => 34 kmph.   ANSWER:34 kmph
Answer: D
If P(A) = 2/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
Choose the correct choice.
A) 7/25	B) 4/25	C) 8/25	D) 2/13	E) 3/17

Solution: P (A n B) = P(A) . P(B)   P (A n B) = 2/5 . 2/5   P (A n B) = 4/25.   4/25
Answer: B
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Choose the correct choice from the following answers.
A) 7  B) 6  C) 4  D) 8  E) 9

Solution: Let the number of boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35   So 30x + 35 + 31(x + 1) = > x = 4.   Answer: 4
Answer: C
Which of the following has the most number of divisors?
Choose the correct answer
A) 99  B) 101  C) 176  D) 182  E) 107

Solution: 99 = 1 x 3 x 3 x 11   101 = 1 x 101   176 = 1 x 2 x 2 x 2 x 2 x 11   182 = 1 x 2 x 7 x 13   So, divisors of 99 are 1, 3, 9, 11, 33, .99   Divisors of 101 are 1 and 101   Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176   Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.   Answer: Option 176   Hence, 176 has the most number of divisors.
Answer: C
If two balls are randomly selected from a green urn containing 4 black and 4 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
Options
A) A.3/14
B) B.4/9
C) C.5/9
D) D.1/3
E) E.1/9

Solution: To have equal number of black and white balls, the yellow urn must have 5 black and 5 white balls. So the balls we select out of the green urn must be both white.   Probability (first ball is white) = 4/8   Probability(second ball is white) = 3/7   Probability (both balls are white) = (4/8)*(3/7) = 3/14   A.3/14nswer A.3/14
Answer: A
A reduction of 30% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?	Answers: A) 2.8 B) 2.3 C) 2.5 D) 2.1 E) 4.3

Solution: 100*(30/100)= 
100*(30/100) = 30
30 --- 10   ? --- 1=> Rs.3   100 --- 70   ? --- 3 => Rs.4.3   Answer: 4.3
Answer: E
In a committee there are 15 men and 10 women. If three members are selected randomly then what is the probability that 1 women and 2 men are selected? Choose the correct answer
A) 20/35	B) 21/31	C) 21/46	D) 11/21	E) 11/23

Solution: Let S be the sample space and E be the event of selecting 1 girl and 2 boys.   Then, n(S)	= Number ways of selecting 3 students out of 25   = 25C3 `   =	(25 x 24 x 23)   (3 x 2 x 1)   = 2300.   n(E)	= (10C1 x 15C2)   = 10 x	(15 x 14)   (2 x 1)   = 1050.   P(E) =	n(E)	=	1050	= 21/46   n(S)	2300   21/46
Answer: C
For which of the following values of s is (70+s)/s an integer?  Choose one
A) 3
B) 4
C) 9
D) 11
E) 70

Solution: This problem has to be solved by checking the options   (70 + s)/s   For this entity to be an integer, 50 + s should be divisible by s   Option A: 73/3 - Not an Integer   Option B: 74/4 - Not an Integer   Option C: 79/9 - Not an integer   Option D: 81/11 - Not an integer   Option 70 - 140/70 - Integer   Correct Option: 70
Answer: E
What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?  Choose the correct choice from the following options.
A) 9800  B) 9600  C) 9400  D) 9500  E) 9200

Solution: Greatest number of four digits = 9999   LCM of 15, 25, 40 and 75 = 600   9999 ÷ 600 = 16, remainder = 399   Hence, greatest number of four digits which is divisible by 15, 25, 40 and 75   = 9999 - 399= 
9999 - 399 = 9_600
9600   answer :9600
Answer: B
A, B and C started a partnership business by investing Rs.24000, Rs.32000, Rs.36000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?  Choose the correct choice from the following answers
A) 70000  B) 60000  C) 80000  D) 92000  E) 50000

Solution: A:B:C =24000:32000:36000   =6:8:9   Let total profit =p   Then pÃ—9/23=36000   p=(36000Ã—23)/9=92000   Answer is 92000.
Answer: D
The sum of two numbers is 8 and the sum of their squares is 120. Find the product of the two numbers.  Choose the correct option.
A) 25 B) 24 C) 23 D) 21 E) 28

Solution: Let a and b be the two numbers(a+b)^2=a^2+2ab+b^2Given (a+b)=8 a^2+b^2=120So, 8^2=120+2ab2ab=120-642ab=56ab=28Ans 28
Answer: E
In Arun's opinion, his weight is greater than 65 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. 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 diferent probable weights of Arun ?
Choose the correct answer.
A) 16.5 kg B) 66.5 kg C) 26.5 kg D) 56.5 kg E) 86.5 kg

Solution: Let Arun's weight be X kg.   According to Arun, 65 < X < 72.   According to Arun's brother, 60 < X < 70.   According to Arun'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   Answer: 66.5 kg
Answer: B
What will the ratio of simple interest earned by certain amount at the same rate of interest for 12 years and that for 10 years. Choose the correct answer
A) 6:5  B) 2:3  C) 2:5  D) 4:3  E) None of these

Solution: Explanation:   Let the principal be P and rate be R   then   ratio = [(P∗R∗12/100) /(P∗R∗10/100)]   =12PR /10PR=6:5   Option 6:5
Answer: A
The roots of the equation ax2 + 3x + 6 = 0 will be reciprocal to each other if the value of a is	Answers:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Explanation :   If roots of ax2 + bx + c = 0 are α and ß are roots then   => α + ß = b/a   and α × ß = c/a .   Now α = 1/ß.   Then α × ß = α and 1/ß × ß = 1 .   => c/a = 1   i.e. c = a.   Here, c = 6, so   a = 6.   Answer : 6
Answer: D
A BUS is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the BUS?	Select
A) metres  B) metres  C) metres  D) metres  E) metres

Solution: Explanation:   Speed of the BUS , v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 18 s   Distance metresovered, d = vt = (400/36)× 18 = 200 m   Distance covered is equal to the length of the BUS = 200 m   Answer: Option metres
Answer: C
5% of men have unlisted phone numbers and 4% of women have unlisted phone numbers. Population ratio of men : women in the city of gpuzzles is 4:3. If we select randomly 100 people from the phone directory, Can you tell us how many people selected will definitely have unlisted phone numbers?
Pick
A) 0%  B) 1%  C) 2%  D) 3%  E) 4%

Solution: Solution:   0%   Explanation:   In the number is in the phone directory, it means the number is listed and therefore if we pick any number from phone directory than number is surely listed.   0%nswer 0%
Answer: A
The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 32%, then the value of X is ?	Choose the correct choice from the following options
A) 25  B) 18  C) 11.9  D) 15  E) 14

Solution: let S.P. of X books = Rs 100 = C.P. of 20 books   Therefore, C.P. of one book = Rs 6.4   Profit = 32 %   Therefore, S.P of one book = 8.4   S.P of X articles = 8.4 X   8.4 X = 100 => X = 11.9   ANSWER:11.9
Answer: C
In a triangle, one side is 6 Cm and another side is 9 Cm. which of the following can be the perimeter of the triangle?
Choose the correct choice from the following answers:  A) 18.  B) 25.  C) 30.  D) 32.  E) 34.

Solution: Given : one side is 6 Cm and another side is 9 Cm. So the 3rd side will be > 3 and < 15.   Thus the perimeter will be : 18 < perimeter < 30.   Only option satisfying this condition is 25.   Hence 25..
Answer: B
The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 60%?	Choose one.
A) 5 B) 4 C) 6 D) 8 E) 7

Solution: We need on-time departure rate to be higher than 6/10, so it should be at least 7/11, which means that 7 out of 11 flights must depart on time. Since for now 3 out of 4 flights departed on time then  7-3= 
 7-3 = 4
4 subsequent flights need to depart on-time.   Answer: 4
Answer: B
There has been successive increases of 30% and then 20% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change? Select the correct option:
A) 20%	B) 24%	C) 28%	D) 32%	E) 36%

Solution: Let P be the original price per unit of gas.   Let x be the original gas consumption.   Let y be the reduced gas consumption.   y*1.2*1.3*P = x*P   y = x / (1.2*1.3) which is about 0.64x which is a decrease of about 36%.   The answer is 36%.
Answer: E
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was? Choose the correct choice from the following answers
A) 120000  B) 120002  C) 120082  D) 120028  E) 120039

Solution: X * (105/100) * (105/100) * (105/100) = 138915   X = 138915/1.157625= 
138915/1.157625 = 120_000
120000   120000nswer: 120000
Answer: A
In ΔPQS above, if PQ =6 and PS = 7, then  Choose the most appropriate option:
A) 9/4  B) 12/5  C) 16/5  D) 15/4  E) 21/4

Solution: there are two ways to calculate area of PQS. area remains same, so both are equal.   6*7/2 = PR*8/2   PR = 21/4   21/4
Answer: E
The famous church in the city of Kumbakonnam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 mins every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?	Pick one
A) 2.19  B) 2.12  C) 2.13  D) 2.11  E) 2.1

Solution: Total time passed in the faulty clock = Monday 10 am to Friday 3 pm = 24 x 4 + 5 hours = 96 and 5 hours = 101 hrs   54 min in the faulty clock = 60 minutes of the correct clock   101 hrs in the faulcty clock = ?   10154×6010154×60 = 112.2 Hrs.   96 Hrs + 16.2 Hrs   Friday 10 am + 16 hrs = Saturday 2am   0.2 x 60 min = 12 min   So Saturday 2.12 min AM   Answer:2.12
Answer: B
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,500, how much money did investors B and C earn in total?	Choose the correct answer: A) $4,000 B) $4,900 C) $7,500 D) $9,500 E) $10,500

Solution: Let profit for A = 5x   profit for B = 7x   profit for $7,500 = 8x   Investor A earned = 2500   5x = 2500=>x=500   Total profit for B and $7,500 = 7x+ 8x = 15x   Therefore , 15x 7 + 8= 
7 + 8 = 15
15x   Therefore , 15x= 15*500 = 7,500   Answer $7,500
Answer: C
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Choose the correct choice:	A) 46	B) 56	C) 66	D) 76	E) 74

Solution: 1 to 11 = 11 * 50= 
11 * 50 = 550
550   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 – 550 = 56   Answer:56
Answer: B
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Choose the correct choice from the following answers:
A) 10  B) 14  C) 15  D) 18  E) 21

Solution: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days   So fodder will be available for  (60 + 8 + 12)= 
 (60 + 8 + 12) = 80
80 cows c 24x60 .0 .   for-^—=18 days.   18
Answer: D
Find the average of all prime numbers between 50 and 70 Choose the correct choice from the following choices:
A) 90
B) 45
C) 60
D) 90
E) 26

Solution: Prime numbers between 50 and 70 are 53, 59, 61, 67   Required average = (53+ 59+ 61+ 67)/4 = 240/4= 
240/4 = 60
60   Answer is 60
Answer: C
A triangle marked A,B and C on its three sides . Three colors, grey, violet, and purple are used to paint the three sides of the triangle. If the adjacent faces are painted with the different colors, in how many ways can the triangle sides be painted?	Options.
A) 3 B) 8 C) 6 D) 12 E) 36

Solution: If the base of the triangle is grey, then in order the adjacent faces to be painted with the different colors . Then 2 sides can be painted in Violet-Purple-Violet-Purple OR Purple-Violet- Purple-Violet (2 options).   But we can have the base painted in either of the three colors, thus the total number of ways to paint the triangle is   3*1= 
  3*1 = 3
3.   3nswer: 3.
Answer: A
What is the greatest integer m for which the number 30!/10^m is an integer?	Select
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: 10^m = 2^m*5^m.   Let's figure out how many 5's are in the prime factorization of 30!   The multiples of 5 are: 5, 10, 15, 20, 5*5, 30.   Thus 5^7 will divide 30! but 5^8 will not.   Clearly 2^7 will divide 30!   So m=7 is the largest possible integer.   The answer is 7.
Answer: A
To get to a business meeting, John drove m miles in h hours, and arrived 1/2 hour early. At what rate should he have driven to arrive exactly on time?  Choose the correct choice from the following
A) m/2h B) 2m/(2h+1) C) 2m/(2h-1) D) 2m-h/2h E) none of these

Solution: m miles in h - 1/2 = (2h - 1)/2 hours   => 2m/(2h - 1) miles per hours   ANSWER:2m/(2h-1)
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice from the following answers.
A) 37 B) 240 C) 210 D) 267 E) 211

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 22)m = 330 m. Let the length of the platform be x meters. Then, (x + 330)/36 = 15 ==> x + 330 = 540 ==> x = 210 m.Answer: 210
Answer: C
An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets water in at the rate of 4 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank. Choose the correct choice from the following.
A) 8600 litres
B) 6400 litres
C) 12800 litres
D) 11200 litres
E) 13200 litres

Solution: Let the rate of outlet pipe be x liters/hour;   Rate of inlet pipe is 4 litres/min, or  4*60= 
 4*60 = 240
240 liters/hour;   Net outflow rate when both pipes operate would be x-240 liters/hour.   Capacity of the tank= x*10 hours = (x-240)*(10+6) hours   10x=(x-240)*16 --> x=640 --> capacity = 10x = 6400 liters.   Answer: 6400 litres.
Answer: B
What decimal of an hour is a second?
Choose the correct choice from the following answers:	A) .0025	B) .0256	C) .00027	D) .000126	E) None

Solution: Solution   Required decimal	= 1/ 60 x 60   = 1/ 3600   = .00027.   Answer .00027
Answer: C
A bus started its journey from Chennai and reached Mumbai in 50 min with its average speed of 60 km/hr. If the average speed of the bus is increased by 6 km/hr, how much time will it take to cover the same distance? Options
A) 45 min.
B) 55 min.
C) 65 min.
D) 60 min.
E) 50 min.

Solution: Sol. Distance between Mumbai and Pune=(60*50)/60= 
(60*50)/60 = 50
50   Average speed of the bus is increased by 6 km/hr then the   speed of the bus= 66 km/hr   Required time = 50*66/60= 
50*66/60 = 55
55min.   55 min.
Answer: B
What will be the income tax payable by a person getting a taxable income of Rs. 30,000 during the year if the first Rs. 18000 is not taxable and the tax rates arc 25% of the next Rs. 25000 ? Choose the correct option.
A) Rs. 3000  B) Rs. 3250  C) Rs. 3500  D) Rs. 3750  E) None of these

Solution: T.I.=30,000, N.T.I.=18000   Taxable 12000, Income Tax = 25% of Taxable Income   = 1/4 ×: 12000 = RS.3000   Rs. 3000nswer: Rs. 3000.
Answer: A
The equation w = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at w = -5, the equation for l is	Pick one: A) + y + 15 = 0 B) - 3x - 11 = 0 C) + y - 16.5 = 0 D) - y - 7 = 0 E) + y + 13.5 = 0

Solution: Is option+ y - 16.5 = 0: -3w + y -6.5= 0=+ y - 16.5 = 0
Answer: C
Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length J of time will elapse before they chime together again?
Choose the correct choice from the following choices:
A) 2 hr. and 24 min.  B) 4 hr. and 48 min.  C) 1 hr. and 36 min.  D) 5 hr.  E) 2 hr.

Solution: It should be simple. All the three bells will chime again together whenver their time intervals intersect eachother.   So the LCM of the three time intervals (18, 24,32) would be the answer.   LCM (18, 24, 32) J= 288 => 4 hours 48 mins.4 hr. and 48 min.
Answer: B
Two pipes P and Q can fill a cistern in 10 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?  Choose the correct answer.
A) 3.5	B) 4	C) 4.5	D) 5	E) 5.5

Solution: Let x be the total time it takes for the cistern to fill.   4/10 + x/15 = 1   x/15 = 3/5   x = 9   After the first pipe is turned off, it takes 5 more minutes to fill the cistern.   The answer is 5.
Answer: D
If n is an integer greater than 7, which of the following must be divisible by 3 ?
Choose the correct option.
A) n(n + 1)(n – 4)  B) n(n + 5)(n – 6)  C) n(n + 2)(n – 1)  D) n(n + 3)(n – 5)  E) n(n + 5)(n – 6)

Solution: If n= 8 then n+1 is divisible by 3   n(n + 1)(n – 4)
Answer: A
Two trains of equal length, running with the speeds of 60 and 100 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choose the correct choice from the following options:  A) 10  B) 6.25  C) 7.35  D) 2.62  E) 2.28

Solution: RS = 60 -40= 
60 -40 = 20
20 * 5/18= 100/18   T = 50   D = 50 * 100/18 = 2500/9   RS = 60 + 100= 
60 + 100 = 160
160 * 5/18   T= 2500/9 * 18/800= 
2500/9 * 18/800 = 25/4 = around 6.25
6.25 sec.Answer: 6.25
Answer: B
The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Pick one:
A) 266  B) 288  C) 245  D) 255  E) 232

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (120 + X)/30 = 25/2 ==> 2(120 + X) = 750 ==> X   = 255 m.   Answer:255
Answer: D
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $61.2 after it went on sale for 15% off, what is the difference between the original price and the final price? Choose the correct choice from the following.
A) $0.00
B) $4.50
C) $3.40
D) $5.00
E) $6.80

Solution: 0.85*{Original Price} = $61.2 --> {Original Price} = $72.   {Final Price} = $61.2*1.25 = $76.5.   The difference = $76.5 - $72 = $4.5   Answer: $4.50.76.5 -  72= 
76.5 -  72 = 4.5
$4.5   Answer: $4.50.
Answer: B
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Choose one:	A) A.72	B) B.50	C) C.48	D) D.69	E) E.44

Solution: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 33 seconds. Thus x = 3 seconds.   By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is   (12+11)= 
  (12+11) = 23
23x= 69 seconds.   Answer D.69
Answer: D