MU-NLPC/Calc-aqua_rat huggingface dataset:
A train running at 50 km/hr, passes a man walking on the platform at 7 km/hr in same direction as that of train in 15 sec. If this train takes 30 seconds to cross the platform then find the length of train (L1) and length of platform (L2)? Answers
A) L1 =179.1 m, L2 = 237.3 m	B) L1 = 150.5 m, L2 = 300 m	C) L1 = 237.3 m, L2 = 179.1 m	D) L1 = 300 m, L2 = 150.5 m	E) None of these

Solution: EXPLANATION:   Given: Speed of train = 50 km/hr, time required to cross the platform = 30 sec, time required to cross man standing on platform = 15 sec.   1) Convert km/hr into m/s   - 50 km/hr = 50 x	5/18= 13.88 m/s   - 7 km/hr = 7 x	5/18=1.94 m/s   2) The speed of train relative to man = ( 13.88 – 1.94) = 11.94 m/s ---- (The values are subtracted because the train and man move in same direction)   3) Length of train = (Relative speed x Time)   = (11.94) x (15) = 179.1 m   We know,   Speed =	(L1 + L2)/Time   13.88 =	(L1 + L2)/30 ---- consider L1 as length of train and L2 as length of platform   (L1 + L2) = 416. 4   L2 = 416.4 – 179.1 = 237.3 m   L1 =179.1 m, L2 = 237.3 mNSWER IS L1 =179.1 m, L2 = 237.3 m
Answer: A
When a positive integer A is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?	Choose the most appropriate option:
A) 8
B) 10
C) 12
D) 15
E) 18

Solution: A = 5k+1 = 3j+2   B = 5m+1 3 +2= 
3 +2 = 5
5m+1= 3n+2   A-B = 5(k-m) = 3(j-n)   A-B is a multiple of both 5 and 3, so it is a multiple of 15.   The answer is 15.
Answer: D
Find the unit's digit in 264^102+264^103 Choose the correct option:
A) 0 B) 2 C) 3 D) 4 E) 5

Solution: Required unit's digit = unit's digit in 4102+4103.4102+4103.   Now, 4242 gives unit digit 6.   ⇒ 41024102 gives unit digit 6.   ⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.   Hence, unit's digit in 264102+264103264102+264103   = unit's digit in (6+4)=0   0
Answer: A
If Q:R = 6:7 and R:S = 8:9 then Q:R:S is  Choose the most appropriate option.
A) 48:56:68	B) 48:56:66	C) 48:56:63	D) 44:52:63	E) 48:50:63

Solution: Solution:   Q/R = 6/7;   R/S = 8/9;   Q:R:S = 6*8:7*8:7*9 = 48:56:63.   Answer: Option 48:56:63
Answer: C
What is the difference between the place value and the face value of 8 in the numeral 296827?
Choose the correct choice from the following
A) None of these
B) 792
C) 794
D) 7994
E) 795

Solution: Explanation:   Place value of 8 = 800   Face value of 8 = 8   Difference = 800 - 8= 
800 - 8 = 792
792   Answer: 792
Answer: B
A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?	Options
A) 21000  B) 22888  C) 26662  D) 2992  E) 8212

Solution: Let the cost prices of the colour television sold at 30% profit and 40% profit be Rs. x and Rs. (35000 - x) respectively.   Total selling price of televisions = x + 30/100 x + (35000 - x) + 40/100 (35000 - x)   => 130/100 x + 140/100 (35000 - x) = 35000 + 32/100 (35000)   x = 28000   35000 - x = 7000   Difference in the cost prices of televisions = Rs. 21000.21000nswer:21000
Answer: A
Three beauty pageant finalists-Cindy, Amy and Linda-The winner was musician. The one who was not last or first was a math major. The one who came in third had black hair. Linda had red hair. Amy had no musical abilities. Who was first?  Choose the correct choice from the following:	A) Cindy	B) Amy	C) Linda	D) Sandy	E) none

Solution: she cant b 3rd bcoz she have red hair   mean she (Linda)   is 1 n 2.   now 1 have musician   but Amby cant first bcoz he have not such abilities.   so 1 n 2 may be   Linda or Cindy.   or 2 n 3 may be Amby or Cindy   Common is 2. so   so   cindy is second   then 1 is Linda   3 is Amby   ANSWER:Linda
Answer: C
In an examination 35% of the students passed and 520 failed. How many students appeared for the examination? Select the correct option
A) A)540
B) B)400
C) C)800
D) D)650
E) E)840

Solution: Let the number of students appeared be x   then, 65% of x = 520   65x/100 = 520   x = 520*100/65= 
520*100/65 = 800
800   Answer is 800
Answer: C
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 4 seconds.What is the length of the fast train? Choices:
A) 23 m  B) 22 2/9 m  C) 27m  D) 27 7/9m  E) 29 7/9m

Solution: relative speed=20kmph=50/9m/sec   length of the train=50/9*4= 22 2/9m   ANSWER:22 2/9 m
Answer: B
In a single throw of a die, what is the probability of getting a number greater than 4?
Options:
A) 1/3
B) 1/4
C) 2/3
D) 2/5
E) 3/7

Solution: S = {1,2,3,4,5,6}   E = {5,6}   Probability = 2/6 = 1/3   1/3nswer is 1/3
Answer: A
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches?
Choose the correct choice from the following.
A) 33.25
B) 33.5
C) 34.25
D) 35
E) none

Solution: Solution   Required average	=(38.9 x 10)-(42 x 6)/ 4   = 137 / 4.= 
137 / 4. = 34.25
34.25   Answer 34.25
Answer: C
An air conditioner can coo the hall in 10 minutes while another takes 15 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room? Choose the correct choice from the following answers
A) 5 minutes	B) 6 minutes	C) 3 minutes	D) 8 minutes	E) 10 minutes

Solution: Take LCM of 10 and 15 = 30   10*3= 
10*3 = 30
30/ 15*2=30.   So if both are switched on together , room cooled in 30/(3+2)=30/5= 
30/5 = 6
6 minutes   ANSWER: 6 minutes
Answer: B
Find the annual income derived by investing $ 6800 in 10% stock at 136.  Choose the correct choice from the following.
A) 550  B) 500  C) 250  D) 300  E) 400

Solution: By investing $ 136, income obtained = $ 10.   By investing $ 6800, income obtained = $ [(10/136)*6800= 
(10/136)*6800 = 500
$ 500.   Answer 500.
Answer: B
A certain farmer pays $60 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet? (43,560 square feet = 1 acre)
Choose the most appropriate option:
A) $5,330
B) $3,360
C) $1,350
D) $600
E) $150

Solution: Basically the question an error. 1 acre = 43,560 square feet and if it is then the answer is 600 ($600)
Answer: D
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers
Choose the correct choice from the following answers
A) 1/24
B) 7/30
C) 12/45
D) 1/56
E) 1/72

Solution: Difference of reciprocals means 1 has to be in the numerator;   So option BD can be ignored   For option A, BE, we require to search two consecutive numbers whose product is the denominator   24 = 4 * 6 ......... Ignore   56= 7 * 8 ........ Answer   72 = 8 * 9 ................ Ignore   Answer = 1/56
Answer: D
A reduction of 25% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?	Choose one.
A) 2.8 B) 2.3 C) 2.5 D) 3.3 E) 2.9

Solution: 100*(25/100)= 
100*(25/100) = 25
25 --- 10   ? --- 1=> Rs.2.5   100 --- 75   ? --- 2.5 => Rs.3.3   Answer: 3.3
Answer: D
The ages of 2 persons differ by 21 years. If 15 years ago the elder one be 8 times as old as the younger one, find the present age of elder person.	Choose the correct choice from the following answers.
A) 30 B) 48.5 C) 50.4 D) 62.6 E) 47.9

Solution: age of the younger person = x   age of the elder person = x+21   8(x-15) = x+21-15   x= 18   age of elder person = 18+21= 
18+21 = 39
39   Answer is 47.9
Answer: E
A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability D that the sum of the three numbers on the balls selected from the box will be odd?
Pick one:
A) 1/4
B) 3/8
C) 1/2
D) 5/8
E) 3/4

Solution: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);   P(OOO)=(1/2)^3;   P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);   So finally D=1/8+3/8=1/2.   Answer: 1/2.
Answer: C
Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 6 hours to complete a legal research assignment. How many hours would it take a group of two legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT	Choose the correct choice
A) 8  B) 10  C) 9  D) 6  E) 5

Solution: # of people times the # of hours:   4*6= 
4*6 = 24
24 --> 6 lawyers do 24worksin 5 hours.   2*12/3= 
2*12/3 = 8
8 --> 3 assistants do 8 worksin 4 hours   So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, so8NS 8
Answer: A
A block of wood has dimensions 10cm x 10cm x 100cm. The block is painted red and then cut evenly at the 50 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?	Select:  A) 4.5%  B) 8.3%  C) 10.2%  D) 12.5%  E) 15.3%

Solution: The area of each half is 100+4(500)+100 = 2200   The area that is not painted is 100.   The fraction that is not painted is 100/2200 = 1/22 = 4.5%   The answer is 4.5%.
Answer: A
A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choose the correct choice from the following answers
A) 665 B) 625 C) 630 D) 645 E) 628

Solution: 8 * 84= 
8 * 84 = 672
672 â€“ 7= 665   665NSWER 665
Answer: A
A man purchased 3 blankets @ Rs.200 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?	Pick one:
A) 100 B) 200 C) 300 D) 400 E) 500

Solution: 10 * 150= 
10 * 150 = 1_500
1500   3 * 200 + 5 * 150= 
3 * 200 + 5 * 150 = 1_350
1350   1350 – 1050= 300   ANSWER:300
Answer: C
At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.80. What is the price of 2 doughnuts?	Choose the most appropriate option
A) $ 0.55
B) $ 1.00
C) $ 1.10
D) $ 0.90
E) $ 1.80

Solution: 3$ 0.90 + C = 2.25......(1)   2$ 0.90 + C = 1.8........(2)   (1) - (2) --> $ 0.90 = 0.45 --> 2$ 0.90 = 0.9   Answer: $ 0.90
Answer: D
Johnny makes $8.25 per hour at his work. If he works 2 hours, how much money will he earn?	Choose the correct choice from the following:
A) $30.50
B) $16.50
C) $28.50
D) $12
E) $9.60

Solution: 8.25*2=16.50. Answer is $16.50.
Answer: B
Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder  Choose the correct option:
A) 1235
B) 1345
C) 1678
D) 1767
E) 1611

Solution: Let the smaller number be x. Then larger number = (x + 1345).   x + 1345 = 6x + 15   5x = 1330   x = 266   Large number = 266+1345= 
266+1345 = 1_611
1611   1611
Answer: E
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,840,397 minutes earlier? (Assume standard time in one location.)  Choose the correct answer:
A) 6:35
B) 6:33
C) 6:30
D) 6:28
E) 6:24

Solution: 6:27 minus 2,840,397 in any way must end with 0.   The only answer choice which ends with 0 is C.   The answer is 6:30.
Answer: C
Find the odd man out
3, 5, 12, 39, 154, 772, 4634  Answers:
A) 39
B) 154
C) 5
D) 3
E) 12

Solution: 3x1+2=5   5x2+2=12   12x3+2=38   38x4+2=154 .. and so on.   39NSWER:39
Answer: A
Find the missing figures : ?% of 25 = 20125	Pick
A) 4.5 B) 6.5 C) 2.5 D) 7.5 E) 8.5

Solution: Let x% of 25 = 2.125. Then , (x/100)*25 = 2.125   X = (2.125 * 4) = 8.5.   Answer is 8.5.
Answer: E
If a and b are integers and (a*b)^5 = 64y, y could be: Choose the most appropriate option:
A) 16
B) 32
C) 64
D) 128
E) 256

Solution: Distribute the exponent.   a^5 * b^5 = 64 y   Find the prime factorization of 64. This is 2^5 *2^1   We need 2^4 (or some other power of 2 that will give us a multiple of 2^5 as our second term).   2^4 = 16   The answer is 16.
Answer: A
If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 160 pounds. What is Leo's current weight?
Choose the correct choice from the following answers:
A) 80  B) 86  C) 92  D) 98  E) 104

Solution: L+K = 160 and so K = 160-L   L+10 = 1.5K = 1.5(160-L)   2.5L = 230   L = 92   The answer is 92.
Answer: C
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 140 pages?  Options:
A) 10 hours 30 mins	B) 8 hours	C) 9 hours	D) 7 hours	E) 6 hours

Solution: Pages typed by 10 hours 30 minsnil in 1 hour = 32/6 = 16/3   Pages typed by Suresh in 1 hour = 40/5= 
40/5 = 8
8   Pages typed by 10 hours 30 minsnil and Suresh in 1 hour= 16/3 + 8 = 40/3   Time taken to type 140 pages when 10 hours 30 minsnil and Suresh work together = 140 × 3 /40 = 21/2   = 10 1/2 hours = 10 hour 30 minutes   10 hours 30 minsnswer is 10 hours 30 mins.
Answer: A
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choose the correct answer:
A) 140  B) 146  C) 152  D) 162  E) 170

Solution: Number of newborns that can die in first month = 1/10 * 200= 
1/10 * 200 = 20
20   Survived= 180   Number of newborns that can die in second month = 1/10 * 180= 
1/10 * 180 = 18
18   Survived= 162   Number of newborns that can die in third month = 1/10 * 162 = 16   Survived = 146   Answer:146
Answer: B
TOM traveled the entire 20 miles trip. If he did the first 10miles of at a constant rate 12 miles per hour and the remaining trip of at a constant rate 10 miles per hour, what is the his average speed, in miles per hour?	Answers.
A) 12.45 mph
B) 11.25 mph
C) 10.95 mph
D) 10.91 mph
E) 10.56 mph

Solution: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (10+10) / ((10/12)+(10/10) =120/11 = 10.91 mph 10.91 mph
Answer: D
Train X and train Y pass one another traveling in opposite directions. Thirty minutes later they are 100 miles apart. If train X’s constant speed is 40 miles per hour greater than train Y’s, how far does train X travel during that time?	Choose one:
A) 28 B) 40 C) 60 D) 72 E) 80

Solution: Let the rate of the Train Y be R   Then the rate of the Train X will be R+40 (given)   As per relative rate concept, the rate at which they are increasing the distance between them is R+(R+40) [add the rates] i.e. 2R+40   d=100 and t = 30 min i.e 30/60 hr   using RTD table, (2R+40) * 30/60 = 100 ==> R= 80 miles/hr   So the rate of train X is 120 miles/hr (since R+40)   The distance traveled by Train X in 30 min is R*T = 120 * 30/60= 
120 * 30/60 = 60
60 miles (60)
Answer: C
7 points are marked on a straight line and another 4 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choose the correct choice from the following answers
A) 91
B) 126
C) 196
D) 21
E) 14

Solution: getting the answer 126 which is not in the choices, what is the source of the problem?   7C2* 4C1 + 4C2* 7C1 = 126   126
Answer: B
Which of the following is not the square of an integer? Choose the correct choice from the following answers
A) 275625
B) 385641
C) 426437
D) 532900
E) 318096

Solution: The square of an integer (n^2) can have only the following units digit:   0, if the units digit of n is 0;   1, if the units digit of n is 1 or 9;   4, if the units digit of n is 2 or 8.   5, if the units digit of n is 5;   6, if the units digit of n is 6 or 4;   9, if the units digit of n is 3 or 7.   The square of an integer cannot have the units digit of 2, 3, 7, or 8.   The answer is 426437.
Answer: C
Two marathoners begin their training run on the river bank at the same time. Sally Slow runs due south at 5 miles/hour, while Freddy Fast runs due North at 10 miles/hour. At this pace, how long before they have run 26.2 miles away from each other?  Choose the correct choice from the following choices.
A) 1.75 hours  B) 1.634 hours  C) 1.5 hours  D) 3 hours  E) 2.92 hours

Solution: The runners run a combined pace of 15 miles per hour (10+5).   26.2 miles/ 15 miles/hour= 1.75 hours   1.75 hoursnswer is 1.75 hours
Answer: A
A portion of the 95% solution of dye was replaced with an equal amount of 20% solution of dye. As a result, 40% solution of dye resulted. What part of the original dye was replaced?	Choose the correct choice from the following answers
A) 2/5	B) 3/7	C) 5/17	D) 11/15	E) 10/11

Solution: This is a weighted average question. Say x% of the dye was replaced --> equate the amount of dye in the solution: 0.95(1-x)+0.2*x=0.4 --> x=11/15.   Answer: 11/15.
Answer: D
Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 8 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?  Choose the correct choice from the following choices:
A) 37.5 kilometers per hour
B) 48 kilometers per hour
C) 51.7 kilometers per hour
D) 75 kilometers per hour
E) 100 kilometers per hour

Solution: Time taken to reach first 40 km is 40/60 = 2/3 hr   Time taken to reach next 40 km is 40/60 = 2/3 hr   Time taken to reach next 20 km is 20/60 = 1/3 hr   Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...   Each stop was of 8 min , so two 8min break = 2*2/15 => 4/15 hr   Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+4/15)= 29/15 hrs   So, Average speed is 100/(29/15) = 51.7 km/hour   Answer will be (51.7 kilometers per hour)
Answer: C
A clock store sold a certain clock to a collector for 15 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 45 percent of what the collector had paid. The shop then sold the clock again at a profit of 85 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $80, for how much did the shop sell the clock the second time?
Choose the correct choice from the following choices.
A) $168.58  B) $187.54  C) $158.74  D) $120.56  E) $200.84

Solution: Now, in the question above, lets say the original cost of the clock to store was C$ and then it sold the same to the collector at 15% profit.   This means the clocks' selling price was C (1.15) and this becomes cost price for the collector.   Now, when the collector tries to sell the same clock to the store, the store buys it for 45% the price at which the collector bought it.   Thus, you get = 1.15*0.45*C = 0.5175 C   Furthermore, the store sells the clock for the second time for 85% profit and thus the selling price of the clock becomes = cost price of the clock for the store at buy-back * 1.85 = 1.85 * 0.5175 C   Finally given that C - 0.5175 C = 80 ----> C = 165.80$   Thus, the cost of the clock the second time around = 1.85*0.5175 C = 1.85 * 0.5175 * 165.80 = 158.74$. Hence $158.74 is the correct answer.
Answer: C
If we have 17 people in a meeting, in how many ways they can sit around a table? Answers:
A) 10*9!
B) 11*12!
C) 12*13!
D) 16*15!
E) 18*17!

Solution: If there arenpeople sitting around a table, there are(n-1)!possible arrangements:   Here, n=17   (n-1)!=16!=16*15!   Ans:16*15!
Answer: D
John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?	Choose the correct choice from the following answers:
A) 20 minutes.
B) 17 minutes.
C) 5 minutes.
D) 12 minutes.
E) 6 minutes.

Solution: The above problem could also be solved by dividing the mixed number 1 and 1/2 by 1/4   1 (1/2) ? 1 / 4 = 3 / 2 ? 4 / 1 = 6 minutes.   correct answer 6 minutes.
Answer: E
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for five years, compounding done annually?	Choose the correct choice from the following options
A) 9688 B) 9687 C) 9685 D) 9682 E) 12884

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}5 = Rs.12884   Answer:12884
Answer: E
How many points (x, y) lie on the line segment between (32, 12 2/3) and (7, 17 2/3) such that x and y are both integers?
Select the correct option.
A) one	B) 4	C) 5	D) 8	E) 9

Solution: slope = (17 2/3 - 12 2/3) / (7 - 32) = -1/5   y = mx + b => 12 2/3 = -22/3 + b => b = 19   y = -x/5 + 19   Only integer values work, and the only multiples of 5 between 7 and 32 for x values are 10, 15, 20, 25 and 30, thus 5 points.   5
Answer: C
The price of pulses has fallen by 25%. How many quintals can be bought for the same amount which was sufficient to buy 22 quintals at the higher price?  Choose the correct choice from the following choices.
A) 20  B) 22.5  C) 29.3  D) 28.5  E) 32.5

Solution: 80% of original price can buy = 22 quintals.   Therefore, he can buy ( 22 x 100 )/ 75 = 29.3 quintals at the lower price.   ANSWER:29.3
Answer: C
There are 10 women and 15 men in an office. In how many ways can a person can be selected?  Pick one
A) 23  B) 25  C) 28  D) 10  E) 24

Solution: The number of ways in which a person can be selected = 10 + 15= 
10 + 15 = 25
25   Answer is 25
Answer: B
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 54 units per day, what is the value of n ?
Choose the correct choice from the following choices:  A) 30  B) 18  C) 10  D) 9  E) 7

Solution: (average production for n days) * n = (total production for n days) --> 50n=(total production for n days);   (total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 50n + 90 = 54 * (n+1) --> n=9.   Or as 40 extra units increased the average for n+1 days by 4 units per day then 40/(n+1)=4 --> n=9.   Answer 9.
Answer: D
If a/b = 1/2, b/c = 5, c/d = 2/3, d/e = 1/6 and e/f = 2/3, then what is the value of abc/def ?	Options.
A) 50/729	B) 20/456	C) 45/752	D) 13/452	E) 45/741

Solution: Say a = 2. Then:   a/b = 1/2 --> b = 4;   b/c = 5 --> c = 4/5;   c/d = 2/3 --> d = 6/5;   d/e = 1/6 --> e = 36/5;   e/f = 2/3 --> f = 54/2.   abc/def = (2*4*4/5)/(6/5*36/5*54/5) = 50/729.   50/729nswer: 50/729.
Answer: A
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 127 in his diary to remember his PIN. He also wrote out the way to calculate 127 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 127".
Once, Prafull saw his diary in which Pinaki wrote this number 127. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?  Pick:
A) 670
B) 770
C) 870
D) 970
E) 470

Solution: Explanation :   Let, the PIN is x.   According to the question,   The card number =996 and Remainder =127.   Thus, (996 × x)/997=127.   =>x= 870.   Answer : 870
Answer: C
In what time will a train 130 m long cross an electric pole, it its speed be 144 km/hr?  Choose one:
A) 2.5
B) 3.25
C) 4.5
D) 5.25
E) 6.25

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 130/40= 
130/40 = 13/4 = around 3.25
3.25 sec.   Answer: Option 3.25
Answer: B