MU-NLPC/Calc-aqua_rat huggingface dataset:
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
Choose one
A) 7, 9, 19 B) 7, 9, 15 C) 7, 9, 17 D) 7, 9, 11 E) 7, 9, 12

Solution: Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.   x + 4 + x + 2 = x + 13 => x = 7   Hence three consecutive odd integers are 7, 9 and 11.   Answer:7, 9, 11
Answer: D
A teacher gets paid $20 a day for in school classes. For extra classes outside of school, she charges $5 per hour for every child. If she teaches 25 students inside of school, and 12% of these students take extra classes for 4 hours. How much money does the teacher make for a week of five days total from teaching?  Choose one.
A) 400 B) 100 C) 300 D) 500 E) 200

Solution: Total in school classes pays $20* 5= 
20* 5 = 100
$100   Total students for external tutoring is  0.12*25= 
 0.12*25 = 3
3   Total external classes pays ($5*4 hours)*3 students= $60, which is $  60*5= 
  60*5 = 300
$300 for the week.   Total pay for week is $100+$300= $400.   400nswer is 400.  100+ 300= 
  100+ 300 = 400
$400.   400nswer is 400.
Answer: A
In a suite there are men and cats. In all, there are 15 heads and 40 feet. How many men and how many cats are in the suite?	Pick.
A) 8 men and 7 cats.
B) 7 men and 8 cats.
C) 6 men and 9 cats.
D) 10 men and 5 cats.
E) 11 men and 4 cats.

Solution: 10 men and 5 cats.   Let M = men and C = cats. We can come up with 2 equations.   M + C = 15   2M + 4C= 40   Solving the 2 equations will give 10 men and 5 cats.   Answer 10 men and 5 cats.
Answer: D
If you roll one fair six-sided die, what is the probability that the number is even or less than 4?	Choose one.
A) 1/6  B) 1/3  C) 2/ 3  D) 3/4  E) 5/6

Solution: Total favourable outcomes: 1,2,3 (less than 4), 4,6(even) = 5   Total possible outcome= 6   Probability=5/6.   Answer: Option 5/6
Answer: E
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of S
Answers.
A) 25:16	B) 24:25	C) 5:6	D) 4:5	E) 4:9

Solution: Rectangle is R; say; l=6, w=4   Perimeter of R= 2(l+w)=2(6+4)=2*10= 
2*10 = 20
20 (not 24)   Area of R= 6*4= 
6*4 = 24
24   Perimeter of S= Perimeter of R (Given)   Perimeter of S = 4 * side_of_S   Perimeter of R = 20   4*side_of_S = 20   side_of_S, say s = 20/4= 
20/4 = 5
5   Area of S= s^2 = 5^2=25   Ratio; Area of R/Area of S = 24/25   Ans:24:25
Answer: B
If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists r required to make 25 paintings using 25 canvases in 25 days?  Choose the correct choice from the following choices
A) 3/2	B) 5/2	C) 7/2	D) 11/2	E) 1/2

Solution: 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days. So, 1 artist make 1 painting using 1 canvas in 5/2 days. So, 1/10 artist make 1 painting using 1 canvas in 25 days.   So, 25/10 (=5/2) artists make 25 paintings using 25 canvases in 25 days.   ANSWER:5/2
Answer: B
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 55 kms. what was the total distance travelled in 12 hours?	Choices
A) 252 kms  B) 152 kms  C) 552 kms  D) 792 kms  E) 152 kms

Solution: Explanation:   Total distance travelled in 12 hours =(55+57+59+.....upto 12 terms)   This is an A.P with first term, a=55, number of terms,   n= 12,d=2.   Required distance = 12/2[2 x 55+{12-1) x 2]   =6(132)   = 792 kms.   Answer: 792 kms
Answer: D
Ken bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents? Choose the most appropriate option:
A) 50RW/Q. B) 50QR/W. C) 25RQ/W. D) 25RW/Q. E) RW/(4Q).

Solution: Ken bought 2Q steaks for W dollars, so 1 steak = W/2Q   Jerome buys R steaks for a 50% discount: r* (W/4Q)   in cents the answer will be : r* (100 W/4Q)= 25 RW/ Q=25RW/Q.
Answer: D
A bookseller has two display windows. She plans to display 2 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?	Choose the correct choice from the following answers:
A) 24
B) 72
C) 12
D) 336
E) 420

Solution: The left window will have permutations of the 2 fiction books, so the number of possibilities for that window is   permutations = 2! = (2)(1) = 2   The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is   permutations = 3! = (3)(2)(1) = 6   Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 2*6= 
2*6 = 12
12   Answer: 12.
Answer: C
In an election, candidate A got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Select
A) 355600
B) 355800
C) 356500
D) 356800
E) 333200

Solution: Total number of invalid votes = 15 % of 560000   = 15/100 × 560000   = 8400000/100= 
8400000/100 = 84_000
84000   Total number of valid votes 560000 – 84000= 476000   Percentage of votes polled in favour of candidate A = 70 %   Therefore, the number of valid votes polled in favour of candidate A = 70 % of 476000   = 70/100 × 476000   = 33320000/100= 
33320000/100 = 333_200
333200   333200)
Answer: E
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase? Choose the correct choice from the following options
A) 16%
B) 16.66%
C) 17%
D) 17.61%
E) 17.56%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: B
Primrose wants to buy hot cocoa for her 9 friends who she volunteers with at the Ohio No-Kill Animal Shelter. Hot cocoa costs $2.00 per cup. Primrose has $15.00 in her pocket. How much money will Primrose have to get from her purse to pay for the drinks?  Choose one:
A) $1
B) $2
C) $3
D) $4
E) $5

Solution: Answer= C   The 9 cups of cocoa will cost a total of $18.00. Primrose has $15.00 in her pocket.   $18 - $15 = $3   Primrose needs to get an extra $3.00 from her purse to have the $18.00 18 -  15= 
 18 -  15 = 3
$3   Primrose needs to get an extra $3.00 from her purse to have the $18.00
Answer: C
A certain telescope increases the visual range at a particular location from 60 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ? Select the correct option.
A) 30%	B) 33 1/2%	C) 40%	D) 60%	E) 150%

Solution: Original visual range = 60 km   New visual range = 150 km   Percent increase in the visual range by using the telescope   = (150-60)/60 * 100%   = 3/2 * 100= 
3/2 * 100 = 150
150 %   Answer 150%
Answer: E
40 is subtracted from 70% of a number, the result is 30. Find the number?	Choose the correct choice from the following options
A) 150
B) 997
C) 266
D) 288
E) 100

Solution: (70/100) * X – 40 = 30   7X = 700   X = 100   Answer:100
Answer: E
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is:  Select the correct option:  A) 276  B) 299  C) 391  D) 345  E) 355

Solution: Clearly, the numbers are (23 x 13) and (23 x 17).   Larger number = (23 x 17) = 391. Answer: Option 391
Answer: C
In digging a pond 20 m * 15 m * 5 m the volumes of the soil extracted will be?	Choose the correct choice from the following choices.
A) 3387 B) 1000 C) 2866 D) 1500 E) 1121

Solution: 20 * 15 * 5= 
20 * 15 * 5 = 1_500
1500   Answer: 1500
Answer: D
Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%. Choose the correct answer.
A) 15.59%
B) 15.24%
C) 15.54%
D) 55.24%
E) 15.44%

Solution: Explanation:   The resultant profit = 1.06 * 1.09= 
1.06 * 1.09 = 1.1554
1.1554= 15.54%   Alternatively, the resultant profit = [x + y + xy/100]   = 6 + 9 + (6*9)/100   = 15 + 0.54= 
15 + 0.54 = 15.54
15.54%   ANSWER: 15.54%
Answer: C
An inspector rejects 0.07% of the meters as defective. How many will he examine to reject 2?	Select
A) A)1500	B) B)2000	C) C)2857	D) D)3000	E) E)3100

Solution: Let the number of meters to be examined be x   Then, 0.07% of x = 2   (7/100)*((1/100)*x = 2   x = 2857   Answer is 2857
Answer: C
A container holds 4 quarts of diesel and 4 quarts of petrol. How many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol? Answers
A) 4/3	B) 5/3	C) 7/3	D) 8/3	E) 10/3

Solution: An alternate to the alligation method is the more direct/algebraic method:   Let x be the amount of petrol to be added.   New total amount of water = 4+x   Total amount of diesel= 4   New total = 4+4+x=8+x   Final ratio required (for petrol) = 5/(5+3)=5/8   Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.   8/3 is thus the correct answer.
Answer: D
Together, Andrea and Brian weigh p pounds; Brian weighs 20 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
Choose the correct option.
A) p/2 - 10	B) 3p/4 - 10	C) 3p/2 - 5	D) 5p/4 - 10	E) 5p - 5

Solution: Together, Andrea and Brian weigh p pounds --> A + B = p.   Brian weighs 10 pounds more than Andrea --> B = A + 20 --> A + (A + 20) = p --> A = (p - 20)/2 = p/2 - 10.   Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 10) + p/4 = 3p/4 -10.   Answer: 3p/4 - 10.
Answer: B
Present ages of X and Y are in the ratio 4:5 respectively. Five years hence this ratio will become 5:6 respectively. What is X's present age in years?  Choose the correct choice
A) 35  B) 36  C) 37  D) 20  E) 40

Solution: Let the present ages of X and Y be 4x and 5x years respectively.   Then, (4x + 5)/(5x + 5) = 5/6   6(4x + 5) = 5(5x + 5) => 24x+30= 25x+25 => x =5   X's present age = 4x = 4*5= 
4*5 = 20
20   ANSWER:20
Answer: D
If the sum of a list of consecutive odd integers is 10, which of the following could be true?
I. The average (arithmetic mean) of the list is equal to 10.
II. The median of the list is equal to 10.
III. The range of the list is equal to 10.	Choose the correct answer.
A) I	B) II	C) III	D) I and II	E) III &I

Solution: Let the numbers be x-4, x-2, x , x+2, x+ 4 and given sum of all 5 number is 10, which is 5x =10 and meaning x is 2   So the list is -2, -0, 2, 4, 6.   ans I   I
Answer: A
If six persons sit around a round table the probability that some specified three of them are always together is  Choose the most appropriate option:  A) 1/5  B) 1/20  C) 3/10  D) 4/10  E) 5/20

Solution: six persons and three grouped => 3! 3! ways   P = (3!3!)5! == 3/10   ANSWER 3/10
Answer: C
Two trains 140m and 160m long run at the speed of 60kmph and 48kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choose the correct answer.
A) 5.6sec B) 8.9sec C) 10 sec D) 12.6sec E) 15sec

Solution: Relative speed = 60+48= 
60+48 = 108
108 kmph * 5/18= 30 m/s   Distance covered in crossing each other = 140+160= 
140+160 = 300
300m   Required time= 300*1/30= 
300*1/30 = 10
10 sec   Answer is 10 sec
Answer: C
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 $51 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) $1.00
C) $3.75
D) $5.00
E) $6.80

Solution: 0.85*{Original Price} = $51 --> {Original Price} = $60.   {Final Price} = $51*1.25 = $63.75.   The difference = $63.75 - 60$ = $3.75.   Answer: $3.75.
Answer: C
Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? Choose the correct choice from the following answers
A) 117%	B) 120%	C) 121%	D) 135%	E) 140%

Solution: Since Michelle earns 6% interest compounded semiannually, then she earns 3% interest every 6 months.   Now, the simple interest earned in 5 periods (30 months = 5*6 months) would be 3%*5=15%. But, since the interest iscompoundedevery 6 months, then there would be interest earned on interest (very small amount) thus the actual interest earned would be a little bit more than 15%, only answer choice A fits.   117%nswer: 117% 3 *5= 
 3 *5 = 15
15%. But, since the interest iscompoundedevery 6 months, then there would be interest earned on interest (very small amount) thus the actual interest earned would be a little bit more than 15%, only answer choice A fits.   117%nswer: 117%
Answer: A
A room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?  Select.
A) 176 B) 124 C) 224 D) 186 E) 190

Solution: LENGTH = 5 M 44 CM = 544 CM   BRE176DTH = 3 M 74 CM = 374 CM   176RE176 = 544 * 374   HCF = 34   176RE176 OF SQU176RE = 34 * 34 CM2   NO OF TILES REQ = 544* 374/34*34 = 16 * 11= 
16 * 11 = 176
176   176NSWER 176
Answer: A
600 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?  Select.
A) 15	B) 11	C) 10	D) 8	E) 7

Solution: 600*20 = 800*x   x = 15.15nswer: 15
Answer: A
A and B started a business investing Rs. 90,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choose the correct choice:
A) 3:2
B) 9:2
C) 18:20
D) 1:4
E) 18:4

Solution: A: 9:2 = 90000 : 20000 = 90 : 20 = 18 : 4 = 9 : 2   ANSWER:9:2
Answer: B
An article is bought for Rs.695 and sold for Rs.900, find the gain percent?	Answers:
A) 33 1/8%  B) 33 8/3%  C) 39 1/2%  D) 35 1/3%  E) 32 1/3%

Solution: 695 ---- 205   100 ---- ? => 39 1/2%   Answer: 39 1/2%
Answer: C
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?	Answers: A) 76 cm B) 24 cm C) 88 cm D) 55 cm E) 34 cm

Solution: We know perimeter of square = 4(side)   So Side of first square = 40/4= 
40/4 = 10
10 cm   Side of second square= 32/4= 
32/4 = 8
8 cm   Area of third Square= 10*10 - 8*8= 
10*10 - 8*8 = 36
36 cm   So side of third square= 6 [because area of square = side*side]   Perimeter = 4*Side = 4*6= 
4*6 = 24
24 cm   Answer:24 cm
Answer: B
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5 km/hr, how much time will it take to cover the same distance?  Select:
A) 48 min 54sec	B) 48min 53sec	C) 46min 53sec	D) 48min	E) 47min

Solution: Sol. Distance between Ramgarh and Devgarh =(50*44)/60=110/3   48 min 54secverage speed of the bus is decreased by 5 km/hr then the   speed of the bus = 45 km/hr   Required time = 110/3*60/45 = 48 min 54sec   48 min 54sec
Answer: A
What is the speed of the train?
I.The train crosses a tree in 13 seconds.
II.The train crosses a platform of length 250 metres in 27 seconds.
III.The train crosses another train running in the same direction in 32 seconds. Answers:  A) I and II only  B) II and III only  C) I and III only  D) Any two of the three  E) None of these

Solution: Explanation:   Let the speed of the train be x metres/sec.   Time taken to cross a tree = Length of the train/Speed of the train   Time taken to cross a platform = (Length of the train + Length of the Platform)/Speed of the train   I gives, 13 = l/x = 13x.   II gives 27 = l + 250/x   => 13x + 250/x = 27   => x = 125/7 m/sec.   7   Thus I and II give the speed of the train.   I and II onlynswer is (I and II only)
Answer: A
There are 27 pearls in a bag. One among them is less in weight. You have been given 2 pan weight machine. In how many trials, you will be able to find the defected one?  Choose the most appropriate option:
A) 4
B) 3
C) 11
D) 13
E) 18

Solution: First we would take 13 perls in each pan and if we found that both are equal then the remaining perl(which has not taken for weighing) is having less weight or if there is an imbalance in either side of the pan we would consider those perls to find out the less weight perl. In this way there would be 4 stages at max to find out the less weighing perl by repaeting the same process as 1st. so answer is 4   4NSWER:4
Answer: A
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
A.
B.
C
D.
E.  Choose the correct answer.
A) 180 B) 196 C) 286 D) 288 E) 324

Solution: Should be 288.   We have to find the total number of 3-digit odd numbers not having 5 as a digit.   Units digits will be among 1,3,7,9   Tenth digits will be among 0,1,2,3,4,6,7,8,9   Hundredth digits will be among 1,2,3,4,6,7,8,9   So total numbers = 4*9*8= 
4*9*8 = 288
288   ANSWER:288
Answer: D
If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 17
III. P is a multiple of 19 Choose the correct choice from the following:	A) I only	B) II only	C) III only	D) None of the above	E) All of the above

Solution: The correct answer is None of the above.
Answer: D
If a > 1, which of the following is equal to (4a + 12)/(a^2 + 2a - 3)?
Pick
A) a	B) a + 3	C) 4/(a - 1)	D) 2a/(a - 3)	E) (a - 1)/2

Solution: Here's the algebraic approach:   (4A + 12)/(A^2 + 2A - 3) can be rewritten as...   4(A + 3)/(A+3)(A-1)   We can simplify the fraction, which leaves us with...   4/(A-1)   Ans : 4/(a - 1)
Answer: C
26 +27+28+29=110. How many such 4 consecutive numbers are there less than 2500 when added gives a sum which is divisible by 10? Choose the correct choice from the following answers
A) 100	B) 200	C) 300	D) 400	E) 500

Solution: since 1+2+3+4= 
1+2+3+4 = 10
10 & 6+7+8+9= 
6+7+8+9 = 30
30   any combination with these no be will give u desirable result...   so total no in 100 will be 20 & that's why in in 2500,it will be 500   ANSW500R:500
Answer: E
A palindrome is a number that reads the same forward and backward, such as 196. How many odd, 4-digit numbers are palindromes?
Pick one:
A) 40
B) 45
C) 50
D) 90
E) 2500

Solution: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc   You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.   Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.   In how many ways can you pick two digits such that the first one is an odd digit?   The first digit can be selected in 5 ways.(1/3/5/7/9)   The second digit can be selected in 10 ways.(0/1/2/3...8/9)   Total = 5*18= 
5*18 = 90
90 ways   90
Answer: D
A shopping cart contains only apples, oranges, and pears. If there are four times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?  Options.
A) 1/2  B) 1/4  C) 1/8  D) 1/16  E) 1/32

Solution: O = 4A   P = 4O = 16A   A = P/16   The answer is 1/16.
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 29 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Pick one.
A) 457 km B) 444 km C) 547 km D) 600 km E) 453 km

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 29 + 21= 
29 + 21 = 50
50   T= 12   600 km = 50 * 12= 
50 * 12 = 600
600   Answer:600 km
Answer: D
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?	Choose the correct choice from the following answers: A) 8 2 ½ kmph B) 2 7 ½ kmph C) 6 2 ½ kmph D) 2 2 ½ kmph E) 2 3 ½ kmph

Solution: 100 --- 10 2 2 ½ kmphS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   Answer:2 2 ½ kmph
Answer: D
If A got 80 marks and B got 50 marks, then what percent of A's mark is B's mark?
Choose the correct choice from the following options:
A) A)62.5%
B) B)80%
C) C)65%
D) D)75%
E) of these

Solution: A's marks = 80 ; B's marks = 50.   Let x% of A = B => x/100 * 80 = 50   => x = (50 * 100)/80= 
(50 * 100)/80 = 125/2 = around 62.5
62.5   B's marks is 62.5% of A's marks.   62.5%NSWER:62.5%
Answer: A
If it takes 8 identical printing presses exactly 4 hours to print 6,000 newspapers, how long would it take 4 of these presses to print 4,000 newspapers?	Options
A) 4 hours, 45 minutes  B) 4 hours, 30 minutes  C) 4 hours, 50 minutes  D) 5 hours, 20 minutes  E) 4 hours, 36 minutes

Solution: 8 presses - 6,000 newspapers - 4 hours ;   4 presses - 3,000 newspapers - 4 hours ; (240 mins)   4 presses - 4,000 newspapers - 240/3000*4000 = 320 mins = 5 hrs 20 mins   Answer : 5 hours, 20 minutes
Answer: D
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1340, how much does he invest in 12% stock at Rs. 120? Choose the correct choice from the following.
A) s. 4000	B) s. 4500	C) s. 5000	D) s. 6000	E) s. 6500

Solution: Let investment in 12% stock be Rs. x.   Then, investment in 15% stock = Rs. (12000 - x).   12/120 * x + 15/125 * (12000- x) = 1340   x/10 + 3/25(12000-x) = 1340   5x + 72000 - 6x = 1340 x 50   x = 5000.   Answer = s. 5000
Answer: C
A man whose speed is 7 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Select the correct option.
A) 6.7 B) 4 C) 6 D) 9 E) 3

Solution: M = 7.0   S = 1.5   DS = 8.5   US = 5.5   6.7S = (2 * 8.5 * 5.5) /14 = 6.7   6.7nswer:6.7
Answer: A
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 38?	Choose the correct option:
A) 3 B) 4 C) 7 D) 32 E) 35

Solution: n = 5p + 1 = 6,11,16,21,26,31   n 5  + 1= 
5  + 1 = 6
6,11,16,21,26,31   n= 7q + 3 = 3,10,17,24,31   =>n = 38m + 31   To get this, we need to take LCM of co-efficients of p and q and first common number in series.   So we need to add 7 more to make it   38m + 38   Answer - 7
Answer: C
A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface. Choices
A) 66 m square	B) 49 m square	C) 77 m square	D) 44 m square	E) 33 m square

Solution: Area of the wet surface =   2[lb+bh+hl] - lb = 2 [bh+hl] + lb   = 2[(4*1.25+6*1.25)]+6*4 = 49 m square   Answer: 49 m square
Answer: B
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?	Choose the most appropriate option:	A) 8 1/8 sec	B) 8 1/2 sec	C) 8 6/2 sec	D) 7 1/2 sec	E) 8 1/5 sec

Solution: D = 170   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 170/20 = 8 1/2 sec   Answer: 8 1/2 sec
Answer: B
A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?  Answers:
A) 2 1⁄4 min
B) 3 min
C) 4 1⁄4 min
D) 4 1⁄2 min
E) None of these

Solution: Time = 225/6×518 = 135 sec = 21⁄4 min.   2 1⁄4 minnswer 2 1⁄4 min
Answer: A
If the city centers of Tokyo and Paris are 6035 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)	Choose the correct option.
A) 1.2 × 10^7
B) 1.8 × 10^7
C) 3.8 × 10^8
D) 3.8 × 10^9
E) 3.8 × 10^10

Solution: 6035 miles = 6035 x 5280 feet/mile x 12 inches/foot which is about 3.8 x 10^8 inches.   The answer is 3.8 × 10^8.
Answer: C