MU-NLPC/Calc-aqua_rat huggingface dataset:
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choose the correct choice from the following answers
A) 17 1/4 min	B) 28 1/7 min	C) 17 1/7 min	D) 17 1/8 min	E) 17 5/7 min

Solution: 1/20 + 1/30 - 1/40 = 7/120   120/7 = 17 1/7   Answer:17 1/7 min
Answer: C
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
Choose the most appropriate option
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: Let the required numbers be 33a and 33b.   Then 33a +33b= 528 \inline \fn_jvn \Rightarrow a+b = 16.   Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).   \inline \fn_jvn \therefore Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)   The number of such pairs is 4   4nswer: 4
Answer: A
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?	Select
A) 750
B) 277
C) 262
D) 231
E) 123

Solution: 1/2:1/3:1/4 = 6:4:3   Ram = 6/13 * 3250= 
6/13 * 3250 = 1_500
1500   Shyam= 4/13 * 3250= 
4/13 * 3250 = 1_000
1000   Mohan= 3/13 * 3250= 
3/13 * 3250 = 750
750   750nswer: 750
Answer: A
If a can complete a work in x days and b can complete a work in y days. In how many days that they will work together simultaneously?  Choose the correct choice.
A) xy/(x+y)	B) (x+y)/xy	C) 1/xy	D) xy	E) x+y

Solution: xy/(x+y)'s one day work=1/x   B's one day work=1/y   a+b=1/x+1/y=(x+y)/xy(for one day)   Total days=xy/(x+y)   xy/(x+y)nswer is option xy/(x+y)
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choose the correct answer:
A) 50 km/hr B) 15 km/hr C) 6 km/hr D) 8 km/hr E) 12 km/hr

Solution: Explanation:   Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==>   x = 50 km/hr.   50 km/hrnswer: 50 km/hr) 50 km/hr.
Answer: A
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?	Choose the correct answer: A) kmph B) kmph C) kmph D) kmph E) kmph

Solution: Speed downstream = 40 + 20= 
40 + 20 = 60
60 kmph   Speed upstream= 40 - 20= 
40 - 20 = 20
20 kmph   Answer:kmph
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 80%?
I will see what is the quickest way to solve it then I will provide the explanation  Options.
A) 6	B) 7	C) 9	D) 10	E) 11

Solution: The following approach might be the easiest one and less error prone.   We need on-time departure rate to be higher than 8/10, so it should be at least 9/11, which means that 9 out of 11 flights must depart on time. Since for now 3 out of 4 flights departed on time then  9-3= 
 9-3 = 6
6 subsequent flights need to depart on-time.   6nswer: 6
Answer: A
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?  Choose the correct choice from the following options:
A) 2000
B) 4000
C) 5000
D) 1000
E) 5500

Solution: Let monthly income A = a   monthly income of 4000 = b   monthly income C= c   a+b=2*5050 --- 1   b+c=2*6250----2   a+c=2*5200----3   add 3 eqns   a=4000   monthly income of A = 4000   ANSWER 4000
Answer: B
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choose one
A) 1/8  B) 1/3  C) 1/9  D) 1/2  E) 1/4

Solution: 1/10 + 1/15 = 1/6 * 4 = 2/3   1 - 2/3 = 1/3   1/10 + 1/15 - 1/x = 1/3   x = 8   Answer:1/3
Answer: B
Tina’s cat weighs 2.6 kilograms. Her dog weighs 4 times as much as her cat. How much does her dog weigh in kilograms?  Choose the correct choice from the following options
A) 10.4kg
B) 38kg
C) 22kg
D) 48kg
E) 20kg

Solution: 2.6*4= 
2.6*4 = 10.4
10.4kg.10.4kgnswer is 10.4kg.
Answer: A
Which of the following numbers is the biggest => [-4/7 , -7/8 , -9/10 , -12/13 , -34/35] Select
A) A)-4/7	B) B)-7/8	C) C)-9/10	D) D)-12/13	E) E)-34/35

Solution: If we observe all the fractions just differ by one i.e denominator vs numerate.. in such case the biggest will be with large values... here all values are with -ve value...the least value is biggest. i.e. -4/7..   Hence -4/7 is correct answer...
Answer: A
3 pumps, working 8 hours a day, can empty a tank in 2 days . how many hours a day must 4 pumps work to empty the tank in 1 day?  Pick one
A) 9
B) 10
C) 11
D) 12
E) 13

Solution: the required number of working hours per day x, more pumps , less working hours per day(indirect)   less days , more working hours per day (indirect)   pumps 4:3, days 1:2 } :: 8:x   therefore 4*1*x= 3*2*8, x= (3*2*8)/4= 
(3*2*8)/4 = 12
12   correct answer(12)
Answer: D
If the average (arithmetic mean) of x, x + 2, and x + 4 is 103, what is the value of x?  Choose the correct choice from the following options:
A) 95 B) 97 C) 101 D) 85 E) 87

Solution: AM of x, x + 2, and x + 4 = x + (x + 2) + (x + 4) / 3 = 3x + 6 /3 = x + 2   Given that x + 2 = 103   x = 101   Answer : 101
Answer: C
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 6 children have two children of the same sex and one of the opposite sex?
Choose the correct choice from the following answers.
A) 1/3
B) 2/3
C) 1/4
D) 3/16
E) 3/5

Solution: No of ways of selecting a gender - 2C1   No of ways of selecting any 2 children out of 6 = 6C2   Total possible outcomes - 2^6 (each child can be either a girl or a boy)   Probability=2C1*6C2/2^6= 2*6/2*2*2*2*2*2=12/64=3/16   Ans=3/16
Answer: D
Walking at 70% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? Answers:
A) 30
B) 36
C) 42
D) 48
E) 56

Solution: speed is inversly proprtional to time   walking at 70% of speed meand 7/10s takes 10/7t.   It takes 24 minutes extra to cover the distance. then   10/7t=t+24   10t=7t+168   3t=168   t=56.   Option 56 is correct
Answer: E
Twelve identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by three days?  Choose the correct choice
A) 2  B) 3  C) 4  D) 6  E) 9

Solution: From the question you know that 12R = 1/9. The question asks you (partially) to make the rate from 1/9 to 1/6 (drop from 9 day to 6). So the only thing that you need to do is to find the magic number than can convert 1/9 to 1/6.   So 1/9 * x = 1/6 (1 equation with one unknown). So by solving this you get x = 9/6 or 3/2. Thats it then! Take the magic number 4/3 and multiply BOTH sides of the original equation and you have:   12*(3/2)*R = (3/2) * 1/9   6 * 3 * R = 1/6, Hence 18R = 1/6, therefore 6 more machines!   6
Answer: D
The security gate at a storage facility requires a five-digit lock code. If the lock code must consist only of digits from 1 through 6, inclusive, with no repeated digits, and the first and last digits of the code must be even, how many lock codes are possible? Select
A) 144  B) 240  C) 360  D) 720  E) 1440

Solution: X-X-X-X-X --> there are 3 even digits from 1 to 6, inclusive thus options for the first and the last X's are: 3-X-X-X-2. Other X's can take following values: 3-4-3-2-2 --> 3*4*3*2*2=144..   144nswer: 144.
Answer: A
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010? Choose the correct choice from the following options: A) Sunday B) Saturday C) Friday D) Wednesday E) None

Solution: EXPLANATION   On 31st December, 2005 it was Saturday.   Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1)= 
(1 + 1 + 2 + 1) = 5
5 days.   On 31st December 2009, it was Thursday.   Thus, on 1st Jan, 2010 it is Friday.   Answer Friday
Answer: C
Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes? Pick.
A) 56678
B) 16789
C) 17576
D) 35142
E) None of these

Solution: Explanation :   The first letter from the right can be chosen in 26 ways because there are 26 alphabets.Having chosen this, the second letter can be chosen in 26 ways.=> The first two letters can be chosen in 26*26= 
26*26 = 676
676 waysHaving chosen the first two letters, the third letter can be chosen in 26 ways.=> All the three letters can be chosen in 676*26= 
676*26 = 17_576
17576 ways.It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.   Answer : 17576
Answer: C
There are cats got together and decided to kill the mice of 999984. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?  Choose the correct answer.
A) 941,1009 B) 991,1001 C) 996,1004 D) 791,1009 E) 931,1009

Solution: 999984 can be written as 1000000 â€“ 16   = 10002 â€“ 42 ie of the form a2-b2=(a+b)(a-b)   =(1000+4)*(1000-4)   = (1004)*(996)   Given that number of cats is less than number if mice.   So number of cats is 996 and number of mice were 1004   Answer 996,1004
Answer: C
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 45 kmph. When and at what distance from Mumbai do the two trains meet?
Choices.
A) 287  B) 279  C) 270  D) 278  E) 379

Solution: When the second train leaves Mumbai the first train covers 40 * 1= 
40 * 1 = 40
40 km   So, the distance between first train and second train is 40 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 40 / (45 -40)= 
40 / (45 -40) = 8
8 hours   So, the two trains meet at 6 p.m. The two trains meet 6 * 45= 
6 * 45 = 270
270 km away from Mumbai.   Answer:270
Answer: C
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill? Choose the correct choice from the following answers:
A) 1/4  B) 1/7  C) 2/4  D) 2/3  E) 1/3

Solution: 1/10 + 1/15 = 1/6 * 4 = 2/3   1 - 2/3 = 1/3   1/10 + 1/15 - 1/x = 1/3   x = 8   ANSW1/3R:1/3
Answer: E
A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choose the correct choice from the following options
A) 87 days	B) 20 days	C) 8 days	D) 19 days	E) 36 days

Solution: 8 days = 1/2 - 1/4 - 1/8 = 1/8   => 8 days   Answer:8 days
Answer: C
A soccer team plays games only against the other five teams in its league and always in the following order: Gary, Howard, Robin, Fred and Jackie. If the team’s final game of the season is against Fred, which of the following could be the number of games in the team’s schedule?	Choose the correct choice from the following:	A) 24	B) 66	C) 56	D) 72	E) 81

Solution: IMO 'A' is the answer.   Matches will be in multiples of 5x+4. The answer that satisfies this condition is 24
Answer: A
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is? Options.
A) 7/17  B) 7/12  C) 7/19  D) 7/11  E) 7/15

Solution: Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.   Similarly from eight white balls two can be drawn in ⁸C₂ ways.   P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂   = 7/15   Answer:7/15
Answer: E
The standard serial numbers for medical licence are 3 letters followed by 5 digits. How many different medical licenses are possible if letters and digits can be repeated?  Choose the correct choice.
A) 26 × × 3 × 5
B) 26³ × 10 000
C) 26³ x 100 000
D) 26 × 25 × 24 × 10 × 9 × 8 × 7
E) 26³ × 10 000 x 15

Solution: OFFICIAL SOLUTION:   (C) The formula for permutations of events is the product of the number of ways each event can occur. There are 26 letters and 10 digits. So there are 26 × 26 × 26 options for the three letters, and 10 × 10 × 10 × 10 x 10 for the five digits. The number of different Medical license is 26 × 26 × 26 × 10 × 10 × 10 × 10 x 10= 26³ × 100 000.   The correct answer is choice (26³ x 100 000).
Answer: C
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7740 km and comes back to the starting point. The total time taken by him is:	Choose the correct choice from the following answers:
A) 914.2 hours  B) 900 hours  C) 915 hours  D) 982.9 hours  E) 915 hours

Solution: Explanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 7740/18 + 7740/14 = 430 + 552.9= 
430 + 552.9 = 982.9
982.9 hours   Answer: Option 982.9 hours
Answer: D
The average of 10 numbers was calculated as 18. It is discovered later on that while calculating the average, one number, namely 66, was incorrectly read as 26. What is the correct average?
Choose the correct choice from the following options
A) 20
B) 21
C) 22
D) 23
E) 24

Solution: 10*18 - 26 + 66= 
10*18 - 26 + 66 = 220
220   220 / 10= 
220 / 10 = 22
22   The answer is 22.
Answer: C
How many positive integers less than 90 are multiples of 6 but NOT multiples of 9?	Choose the correct choice from the following options:
A) 4 B) 6 C) 8 D) 10 E) 12

Solution: The LCM of 6 and 9 is 18.   If x <90 and x is divisible by 6 not by 9 --> x is NOT divisible by 18.   From 1--> 90, we have 5 numbers which is divisible by 18: 18, 36, 54, 72, 90.   From 1-->90, we have (90-6)/6 +1= 
(90-6)/6 +1 = 15
15 numbers divisible by 6.   Therefore, our answer is 15-5= 
15-5 = 10
10 numbers.   10
Answer: D
If |z|/w = 4,which of the following must be true?  Choose the most appropriate option: A) z = -4w B) z = 4w C) z^2 = 16w^2 D) z^2 = 16w^3 E) z^3 = 64w^3

Solution: |z|/w = 4.   |z| = 4w.   Then z = 4w or -4w and so z^2 = 16w^2.   The answer is z^2 = 16w^2.
Answer: C
A total of 50 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
Pick one:
A) 1/4	B) 7/12	C) 2/3	D) 7/8	E) 8/7

Solution: Let' take the Number of geese to be 100.   Male = 50. Female = 50.   Now the second part of the Q, Let's take the Number migrated to be 20.   So we have 20 geese that migrated and out of that 20% are male i.e 20/100 *20 = 4 Geese (Males)   And now we know out of the total 20 geese , 4 are male , then 16 have to be female.   Now the ratio part , Male Geese Ratios = 4/50 = 2/25. - A   Female Geese Ratios =16/50=8/25 - B   Cross Multiply Equations A and B and you get =1/4 .   1/4ns 1/4
Answer: A
2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 32 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?  Answers
A) 15 km/hr B) 24 km/hr C) 17 km/hr D) 18.75 km/hr E) None of these

Solution: Explanation :   Total distance covered by 24 km/hr=32*6= 
32*6 = 192
192kmTotal time taken by A to cover same distance=2+6= 
2+6 = 8
8 hrsaverage speed of A=192/8= 
192/8 = 24
24 km/hr   Answer : 24 km/hr
Answer: B
A train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train?
Choices
A) 12
B) 14
C) 16
D) 18
E) 20

Solution: Length = Speed * time   Speed = L/T   S = 1000/200= 
1000/200 = 5
5 M/Sec   Speed= 5*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 18 Kmph   Answer:18
Answer: D
For all integers a and b, a%b = (a + b)(a - b). If 4%x = 12, then which of the following could be a value of x?	Choose the correct choice from the following answers.
A) -4 B) -3 C) 2 D) 3 E) 6

Solution: 4%x = (4+x)(4-x)   16-x^2 = 12   x^2 = 4   x=-2,2   Ans: 2
Answer: C
A man is 24 years older than his son. In three years, his age will be twice the age of his son. The present age of the son is
Choose the correct choice from the following answers:
A) 14 years B) 18 years C) 20 years D) 21 years E) None

Solution: Solution   Let the son's present age be x years .Then, man's present age	= (x+24)years.   Then	â€¹=â€º(x+24)+3= 2(x+3)   â€¹=â€ºx+27=2x+6   x= 21.   Answer 21 years
Answer: D
Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs.5000. How much amount did she have in the denomination of Rs. 50?
Pick:	A) 1900	B) 3500	C) 4000	D) 4200	E) 4450

Solution: Let the number of 50 – rupee notes be x.   Then, the number of 100-rupee notes = (85 – x)   50x + 100(85 – x) = 5000   = x + 2 (85 – x) = 100   = x =70   So, required amount = Rs. (50 x 70) = Rs. 3500   Answer: Option 3500
Answer: B
In a bag there are a certain number of red balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of red balls to blue balls in the bag	Pick.
A) 5:1
B) 1:6
C) 1:4
D) 1:46
E) 1:1

Solution: since the probability of drawing a blue ball out of two picks is 1/2.   the ratio of the blue ball to red balls should be 1:1   Answer : 1:1
Answer: E
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 6000. With the help of C, they completed the work in 3 days. How much is to be paid to C?	Choose the correct answer
A) s. 375  B) s. 400  C) s. 600  D) s. 750  E) s. 850

Solution: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24   A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1   C's share (for 3 days) = Rs.	(3 * 1/24 * 6000) =Rs.750   Answer = s. 750
Answer: D
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?  Answers:
A) 29 B) 32 C) 19 D) 77 E) 99

Solution: A/8 = 8 * 8 => A = 8 * 8 * 8   x * 2x = 8 * 8 * 8   x = 16 => 2x = 32   Answer:32
Answer: B
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ?
Answers.
A) 2
B) 4
C) 5
D) 6
E) 7

Solution: Given that (10a + b) - (10b + a) = 18 --> 9a - 9b =18 --> a - b 18 --  9  - 9= 
18 --  9  - 9 = 18
18 --> a - b= 2.   2nswer: 2.
Answer: A
In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choose the correct answer
A) 400 B) 800 C) 1250 D) 2500 E) 10 000

Solution: The percent of tagged fish in the second catch is 2/40*100= 
2/40*100 = 5
5%.   We are told that 5% approximates the percent of tagged fish in the pond. Since there are 40 tagged fish, then we have 0.05x= 40 --> x = 800.   Answer: 800.
Answer: B
What is the cost of leveling the field in the form of parallelogram at the rate of Rs.40/10 sq.metre, whose base & perpendicular distance from the other side being 24m & 34m respectively?  Choose the correct choice from the following:
A) s. 600
B) s. 630
C) s. 640
D) s. 648
E) s. 816

Solution: Area of the parallelogram = Length of the base * Perpendicular height   = 24 * 34= 
24 * 34 = 816
816 m.   Total cost of levelling= Rs.816   s. 816
Answer: E
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent. Overall he make a.  Choose the correct choice from the following answers.
A) 228 B) 350 C) 27 D) 200 E) 881

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 3/100) = 15000 - 450   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -450 + 800 = Rs. 350   As this is positive, an overall profit of Rs. 350 was made.Answer:350
Answer: B
There are 12 students in a class. On the day the test was given, Ella was absent. The other 11 students took the test and their average was 74. The next day, Ella took the test, and with this grade included, the new average was 75. What was Ella's grade on the test?
Choose the correct option: A) 82 B) 83 C) 84 D) 85 E) 86

Solution: 11*74+Ella's grade=12*75   Ella's grade is  12*75-11*74= 
 12*75-11*74 = 86
86.   The answer is 86.
Answer: E
At a casino in Mumbai, there are 3 tables A, B and C. The payoffs at A is 10 : 1, at B is 20 : 1 and C is 30 :1. If a man bets Rs. 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be ?
Pick
A) Rs. 4000  B) Rs. 4500  C) Rs. 2500  D) Rs. 2000  E) None of these

Solution: Solution: Maximum earning will be only possible when he will won on the maximum yielding table.   A → 10 :1   B → 20 :1   C → 30 :1   i.e., he won B and C but lost on A,   20 *200 +30 *200 - 1 *200= 
20 *200 +30 *200 - 1 *200 = 9_800
9800   Minimum earnings will be when he won on table A and B and lose on table 3.   10 *200 + 20 *200 - 1 *200= 
10 *200 + 20 *200 - 1 *200 = 5_800
5800   Therefore, difference= 9800-5800 = Rs. 4000.   Alternatively,   The difference,   = [(30 +20 -1) - (10 +20 -1)] * 200   = Rs. 4000.   Rs. 4000nswer: Option Rs. 4000
Answer: A
Can you find the smallest non fractional number such that
If the number gets divided by 3 , we get the remainder of 1;
If the number gets divided by 4 , we get the remainder of 2
If the number gets divided by 5 , we get the remainder of 3;
If the number gets divided by 6 , we get the remainder of 4.  Choose the correct choice from the following answers:
A) 55  B) 60  C) 58  D) 44  E) 72

Solution: C   58.   As we know LCM of the numbers 3 4 5 & 6 is 60.   So if i divide 60 by any of the four number , it gives remainder as 0.   Now to get reminder as desired, is should be 2 short of 60. (3-1,4-2,5-3,6-4 )
Answer: C
A car is traveling 45 kilometers per hour. How many meters does the car travel in one minute?
Choose the correct choice.
A) 750 meters / minute B) 850 meters / minute C) 950 meters / minute D) 550 meters / minute E) 650 meters / minute

Solution: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify   45 kilometers per hour = 45 km/hr   = (45 * 1000 meters) / (60 minutes) = 750 meters / minute   correct answer 750 meters / minute
Answer: A