MU-NLPC/Calc-aqua_rat huggingface dataset:
In six successive games, a baseball team scored 4 runs once, 7 runs twice, and 10 runs three times.
What was the average (arithmetic mean) number of runs the team scored per game over the six-game period?  Choose the correct choice from the following answers:
A) 8
B) 7
C) 6
D) 5
E) 4

Solution: 4 runs once (one game)   7 runs twice (two game)   10 runs three times (three games)   SO we have (4*1 + 7*2 + 10*3)/6 = 48/6= 
48/6 = 8
8.   8NS: 8.
Answer: A
A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?
Choose the correct choice from the following answers.
A) 2
B) 3
C) 6
D) 12
E) 14

Solution: Explanation:   Since B and D are twins, so B = D.   Now, A = B + 3 and A = C - 3.   Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.   Answer: 6
Answer: C
If 20% of a number = 200, then 120% of that number will be? Choose the correct choice from the following:
A) 20 B) 120 C) 360 D) 1200 E) 820

Solution: Let the number x. Then,   20% of x = 200   x = (200 * 100)/20= 
(200 * 100)/20 = 1_000
1000   120% of x= (120/100 *1000)= 
(120/100 *1000) = 1_200
1200.   ANSWER:1200
Answer: D
When positive integer x is divided by positive integer y, the remainder is 8. If x/y = 96.16, what is the value of y?  Choose the correct choice from the following choices.
A) 96
B) 75
C) 50
D) 25
E) 12

Solution: by the definition of a remainder, the remainder here is equal to 8/y. the remainder in decimal form is given as .16   therefore, 8/y = .16   solve for y and get 50.   50
Answer: C
The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
Pick
A) 2996 sq m
B) 4774 sq m
C) 4312 sq m
D) 2768 sq m
E) 2786 sq m

Solution: Let the radii of the smaller and the larger circles be s m and l m respectively.   2∏s = 660 and 2∏l = 704   s = 660/2∏ and l = 704/2∏   Difference between the areas = ∏l^2 - ∏s^2   = ∏{330^2/∏^2 - 352^2/∏^2}   = 330^2/∏ - 352^2/∏   = (330 - 352)(330 + 352)/∏   = (22)(682)/(22/7)   =4774 sq m   Answer:4774 sq m
Answer: B
How many positive integers will divide evenly into 530?
Choose the correct choice from the following:
A) 8 B) 12 C) 16 D) 18 E) 20

Solution: 520 = 10*13*4 = 8*5*13 = 2^3*5*13   We need to positive integers will divide evenly into 520 or simply the factors of 520   If a number is of the form 2^a*3^b*5^c,   Total factors = (a+1)(b+1)(c+1)   Therefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 18   Option 18
Answer: D
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choose the correct option:
A) 230  B) 881  C) 711  D) 622  E) 211

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.   230nswer: 230
Answer: A
Ratio of two numbers x and y is 7:9. If x is increased by 20% and y is increased by 33 then the new ratio becomes 1:5. What is the ratio 2y:(x+4)	Pick
A) 18:11  B) 8:1  C) 11:18  D) 1:8  E) 1:1

Solution: Let:   x = 7n   y = 9n   8.4n/(9n+33) = 1/5   42n = 9n+33   n = 1   So, x =7; y=9   2y/(x+4) = 18/11   18:11nswer = 18:11
Answer: A
In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 45% of all the employees are men .What % of all the employee went to the picnic?
Answers.
A) 31%	B) 34%	C) 35%	D) 36%	E) 37%

Solution: total men in company 45% means total women in company 55%(assume total people in company 100%)   no of men employees attended picnic=45x(20/100)=9   no of women employees attend picnic=55x(40/100)=22   total percentage of employees attend the picnic=9+22= 
9+22 = 31
31%   31%NSWER:31%
Answer: A
200,190,180,....,160,150,140
Insert the missing number	Choices:
A) 155	B) 156	C) 157	D) 170	E) 158

Solution: Missing number : 170   Answer : 170
Answer: D
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choose the correct answer
A) 120  B) 720  C) 4320  D) 2160  E) 3570

Solution: The word 'OPTICAL' contains 7 different letters.   when the vowels OIA are always together, they can be supposed to form one letter.   Then, we have to arrange the letters PTCL (OIA)   Now, 5 letters can be arranged among themselves in 3!=6 ways.   Required number of ways =(120*6)= 
(120*6) = 720
720.   Answer is 720
Answer: B
Two members of a certain club are selected to speak at the next club meeting. If there are 45 different possible selections of the 2 club members, how many members does the club have?	Choose one
A) 5  B) 6  C) 7  D) 8  E) 10

Solution: Method-1   Total No. of Selection of r out of n objects are defined by nCr = n! / [(r!)(n-r)!]   i.e. If total member = n   then nC2 = n! / [(2!)(n-2)!] = 45   i.e. n*(n-1)*n-2!/ [(2!)n-2!] = 45   i.e. n*(n-1) = 90   (for Positive Values of n)   therefore, n*(n-1) = 90   i.e. n= 10   Answer: Option 10
Answer: E
From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Choose the correct choice from the following
A) 1360
B) 1260
C) 1060
D) 1190
E) 1460

Solution: There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190   ANSWER:1190
Answer: D
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 70 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choose the correct choice from the following answers
A) 22  B) 10  C) 25  D) 99  E) 21

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 80 x.   Total marks of (x - 5) students = 90(x - 5)   80x - (5 * 70) = 90(x - 5)   100 = 10x => x = 10.Answer: 10
Answer: B
Seats for Maths, Physics and Biology are in the ratio of 4 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats? Choose one.
A) 2 : 3 : 4
B) 6 : 7 : 8
C) 8 : 15 : 20
D) Cannot be determined
E) None of these

Solution: Reqd ratio 4 Ã— 140â„100 : 7 Ã— 150â„100 : 8 Ã— 175â„100   = 4 Ã— 140 : 7 Ã— 150 : 8 Ã— 175 = 8 : 15 : 20   Answer 8 : 15 : 20
Answer: C
A 5" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks
are there even without a single face being painted?
Choose the correct choice from the following: A) 16 blocks B) 20 blocks C) 27 blocks D) 36 blocks E) 64 blocks

Solution: The unpainted blocks are the interior blocks.   These blocks form a 3" cube on the inside.   The number of unpainted blocks is  3*3*3= 
 3*3*3 = 27
27 blocks.   The answer is 27 blocks.
Answer: C
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $5 on candy, how much did John spend at the supermarket? Choose the correct answer:
A) $75	B) $80	C) $90	D) $120	E) $180

Solution: Let's let T = total number of dollars spent at the supermarket. With this variable we can set up an equation and determine T.   We are given that John spent 1/2 of his money on fresh fruits and vegetables, or (1/2)T, 1/3 on meat products, or (1/3)T, and 1/10 on bakery products, or (1/10)T. We are also given that he spent the remaining $5 on candy. Since we know where all his money was allocated, we can sum these values together and set the sum to T. So we have:   (1/2)T + (1/3)T + (1/10)T + 5 = T   To get rid of the fractions we can multiply the entire equation by 30, and we obtain:   15T + 10T + 3T + 150 = 30T   28T + 150 = 30T   150 = 2T   T = 75   John spent $7 at the supermarket.   $75nswer: $75
Answer: A
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 45 years. What will be the age of the B ten years hence?	Choose the correct choice from the following answers: A) 22 B) 77 C) 26 D) 96 E) 90

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)   (b + c)/2 = 45 => b + c = 90 --- (2)   From (1) and (2), we cannot find b.   Answer: 90
Answer: E
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Pick one
A) 1134 B) 1234 C) 1257 D) 1259 E) 1365

Solution: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.   =. Required number of ways = 14C10 = 14C4   = 14!/4!x19! = 1365   1365
Answer: E
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 10 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
Choose the correct choice from the following answers:
A) 5  B) 7  C) 8  D) 10  E) 12

Solution: As no member of committee M is on either of the other 2 committees then 30-M=30-8= 
30-8 = 22
22 people are on committee S, committee R or on none of the committee. We want to maximize the last group: members in the club who are on none of the committees   General rule for such kind of problems:   to maximize one quantity, minimize the others;   to minimize one quantity, maximize the others.   So we should minimize total # of people who are on committee S and committee R. Now if ALL 5 people who are the members of committee R are also the members of committee S (if R is subset of S) then total # members of committee S and committee R would be minimized and equal to 12. Which means that 22-10= 
22-10 = 12
12 is the greatest possible number of members in the club who are on none of the committees.   Answer: 12.
Answer: E
If x^2+4x+3 is odd, then which one of the following could be the value of x. Answers.
A) 3  B) 4  C) 5  D) 6  E) 9

Solution: for any x, 4x+3->odd   so x^2 should be even, means x should be even;   only ans we have 4 as even.   ANSWER:4
Answer: B
Which is the following is divisible by 11  Select the correct option
A) A)109
B) B)4825
C) C)4805
D) D)4905
E) E)4906

Solution: Explanation:   Sum of first 'n' natural numbers = 1(1 + 1)/2   Sum of first 9 natural numbers = 1(1 + 1)//2 = 1 x 1= 1   Sum of first 99 natural numbers = 11(11 + 1)//2 = 11 x 10 = 110   110 - 1= 
110 - 1 = 109
109   109nswer: Option 109
Answer: A
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choose the correct choice
A) 76 sec B) 16 sec C) 15 sec D) 17 sec E) 19 sec

Solution: Speed = 63 * 5/18   = 35/2 m/sec   Time taken   = 280 * 2/35= 
280 * 2/35 = 16
16 sec   Answer: 16 sec
Answer: B
A cycle is bought for Rs.840 and sold for Rs.1220, find the gain percent? Select
A) 70% B) 45% C) 48% D) 30% E) 40%

Solution: Explanation:   840 ---- 380   100 ---- ? => 45%   Answer: 45%
Answer: B
The average of 35 students in a class is 17 years. The average age of 25 students is 15. What is the average age of remaining 10 students?
Choose one.
A) 26 years  B) 27 years  C) 28 years  D) 29 years  E) 30 years

Solution: Sum of the ages of 14 students   = (17 * 35) - (15 * 21) = 595 - 315= 
595 - 315 = 280
280   Required average= (280/10)= 
(280/10) = 28
28 years.   Answer:28 years
Answer: C
In what ratio should rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture
be worth Rs.10 per Kg ? Choose the correct answer:
A) 7 : 8
B) 8 : 7
C) 6 : 7
D) 7 : 6
E) None of these

Solution: Explanation :   By the rule of alligation, we have   Cost of 1 kg rice of 1st kind Cost of 1 kg rice of 2nd kind   9.3 10.80   Mean Price   10   10.8-10= 
10.8-10 = 0.8
.8 10 - 9.3= .7   Required ratio = .8 : .7 = 8 : 7.   Answer : Option 8 : 7
Answer: B
What will be the difference between simple and compound interest @25% per annum on a sum of $3600 after 2 years? Pick:
A) $150  B) $220  C) $225  D) $182  E) $189

Solution: S.I. = 3600*25*2/100= 
3600*25*2/100 = 1_800
$1800   C.I.= 3600 * (1 + 25/100)^2 - 3600 = $2025   Difference = 2025-1800= 
2025-1800 = 225
$225   Answer is $225
Answer: C
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has five times as many candies as Tina has. Rebecca has how many candies initially?	Choose the correct choice from the following choices:
A) 36	B) 48	C) 54	D) 36	E) 60

Solution: T = R   T - 24 ;R + 24   R + 24 = 5 ( T - 24 )   R + 24 =5T - 120   R - 5T = - 144   We knowR = T, so   R - 5T = - 144   Or, R - 5R = -144   Or, - 4R = - 144   Or, R = 36( This is the initital no of Candies Rebecca had)   Answer : 36
Answer: D
There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure m in inches of the width of the foil covered prism? Choose the correct option.
A) 4
B) 6
C) 8
D) 9
E) 10

Solution: If the width is w, then length and height would be w/2.   So, w*w/2*w/2 = 128 => w^3 = (2^3)*64 = (2^3) * (4^3)   => w = 2*4= 
2*4 = 8
8 in.   Along the width of the cuboid, 8 cubes don't touch the tin foil. So the actual width will be non-touching cubes + touching cubes= 8 +2= 
8 +2 = 10
10   Ans 10.
Answer: E
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?	Choose one:
A) 09
B) 10
C) 05
D) 02
E) 06

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.   Answer:10
Answer: B
Suppose 12 points lie on a circle. How many cyclic quadrilaterals can be made by using these points? Choose one:
A) 440
B) 454
C) 495
D) 486
E) None

Solution: For any set of 4 points we get a cyclic quadrilateral. Number of ways of choosing 4 points out of 12 points is 12C4=495. Therefore, we can draw 495 quadrilaterals.   Answer 495
Answer: C
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?  Choose the correct choice from the following choices.
A) 277
B) 888
C) 228
D) 860
E) 911

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer:860
Answer: D
A train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?	Choose the correct option
A) 150
B) 887
C) 167
D) 197
E) 230

Solution: Length of the train be ‘X’   X + 130/15 = X + 250/20   20X + 2600 = 15X + 3750   5x=1150   X = 230m   Answer: 230
Answer: E
The total monthly income of four men and two women is 46,000. If every woman earns 500 more than a man then what is the monthly income of a woman?	Choices:
A) 7,500  B) 8,000  C) 9,000  D) 6,500  E) None of these

Solution: 4M + 2W = 46000;   Again, W = M + 500   or, M = W – 500   ∴ (W – 500) + 2W = 46000   or, 6W = 46000 + 2000= 
46000 + 2000 = 48_000
48000   ∴ W= 8000   Answer 8,000
Answer: B
A sun is divided among X, Y and Z in such a way that for each three rupees X gets, Y gets two rupees and Z gets 80 paisa. If the share of Y is RS. 55, what is the total amount of X and Y? Choose the correct choice from the following:
A) 120
B) 124.5
C) 104.5
D) 114.5
E) 100

Solution: x:y:z = 300:200:80   15:10:4   10 --- 55   19 --- ? => 104.5   Answer: 104.5
Answer: C
The grade point average of one third of the classroom is 30; the grade point average of the rest is 33. What is the grade point average of the whole class?	Choices:	A) 44	B) 41	C) 38	D) 35	E) 32

Solution: Let n=total students in class   total points for 1/3 class=30n/3=10n   total points for 2/3 class30 /3= 
30 /3 = 10
10n   total points for 2/3 class=33*2n/3=22n   total points for whole class33*2 /3= 
33*2 /3 = 22
22n   total points for whole class=10n+22n=32n   32n total class points/n total students10 +22= 
10 +22 = 32
32n   32n total class points/n total students=32 grade point average for total class   Answer : 32
Answer: E
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 8 seconds, the speed of each train (in km/hr) is Choices:
A) 42
B) 36
C) 28
D) 20
E) 54

Solution: Explanation:   Distance covered = 120+120= 
120+120 = 240
240 m   Time= 12 s   Let the speed of each train = v. Then relative speed = v+v = 2v   2v = distance/time = 240/8= 
240/8 = 30
30 m/s   Speed of each train= v = 30/2= 
30/2 = 15
15 m/s= 15×36/10 km/hr = 54 km/hr   Answer: Option 54
Answer: E
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 50% at 30% profit. Find his % profit on total.  Choose the correct choice from the following answers:
A) 23%	B) 25%	C) 26%	D) 28%	E) 35%

Solution: If the total quantity was 100   Then 40X 20% + 50 X30%= 23   This profit will remain same for any total quantity unless the % of products remains the same. Hence '23%' is the answer
Answer: A
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Choose the correct choice
A) 15 a.m
B) 10 a.m
C) 12 a.m
D) 02 a.m
E) 05 a.m

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.   Answer:10 a.m
Answer: B
two branch of tree bird sit in way if one bird of the first branch goes to second branch there ratio become equal and if bird from second branch goes to first branch ratio become double than first. what are there ratio in sitting ?  Answers
A) 7:5
B) 6:5
C) 8:5
D) 5:7
E) 5:8

Solution: if birds on 1st branch=x, 2nd branch=y   Ist condition, x-1=y+1, x-y=2 ---(i) &   2nd condition, x+1=2(y-1), x-2y=-3 ---(ii)   Solving (i) & (ii), x=7, y=5   7:5NSWER:7:5
Answer: A
The value of x.320 Ã· 2 Ã· 3 = X Pick one:  A) 53.33  B) 46.33  C) 15.36  D) 15.45  E) 15.48

Solution: 320Ã·2Ã·3   =320Ã—1/2Ã—1/3   =160/3   =53.33   CORRECT 53.33NSWER : 53.33
Answer: A
In a race with 30 runners where 3 trophies will be given to the top 5 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Pick one:
A) 5^3 ways	B) 8^9 ways	C) 7^8 ways	D) 8^7 ways	E) 8^6 ways

Solution: 5 people can be prized with 3 distinct prizes in 5^3 ways   5^3 waysNSWER:5^3 ways
Answer: A
How many keyboards do you need if you have to place 1024 keys into keyboards that each hold 32 keys?  Select
A) A)28  B) B)30  C) C)32  D) D)34  E) E)None of the above

Solution: Sol.   1024 keys of 32 each   = 1024 / 32= 
1024 / 32 = 32
32   Answer : 32
Answer: C
In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction R of all babies born who were NOT part of a set of twins or triplets?  Choose the correct choice from the following answers
A) z - 2x - 3y B) (2x+3y)/z C) (x+y)/z D) 1 - (2x+3y)/z E) 1 - (x+y)/z

Solution: X set of twins implies 2x babies of twin category.   Y set of triplets means 3y babies of triplet category.   Let K be the babies other than twin or triplet category.   Total babies = z = 2x+3y+k.   or K=Z-(2x+3y)   => Fraction of babies other than twin or triplet categories = K/Z = Z-(2x+3y)/Z.   R= 1- (2x+3y)/Z. Hence answer is 1 - (2x+3y)/z.
Answer: D
What positive number, when squared, is equal to the cube of the positive square root of 16?
Choices:	A) 64	B) 32	C) 8	D) 4	E) 2

Solution: Let the positive number be x   x^2 = ((16)^(1/2))^3   =>x^2 = 4^3 = 64   => x = 8   Answer 8
Answer: C
How many different values of positive integer x, for which |x+6|<x, are there?
Pick one:
A) 0
B) 2
C) 3
D) 8
E) 16

Solution: Answer D   I opted to put the random value option.   i used 0 , 6 , -6 and the the extreme of 20 and -20..   i was able to solve it in 1:09   8
Answer: D
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. 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 different probable weights of Mike?	Choose the correct option:
A) 46.5 kg
B) 54 kg
C) 65 kg
D) 66.5 kg
E) 76.5 kg

Solution: Let Mike's weight be X kg.   According to Mike, 65 < X < 72.   According to Mike's brother, 60 < X < 70.   According to Mike'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   66.5 kg
Answer: D
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?	Choose the correct choice.
A) 1250  B) 625  C) 600  D) 7500  E) 375

Solution: Max No. of crates=5.   Max Weight=120Kg   Max. weight carried = 5*120= 
5*120 = 600
600Kg=600
Answer: C
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? Options
A) 81:121	B) 81:126	C) 81:189	D) 81:176	E) 81:117

Solution: Ratio of the sides   = ³√729 : ³√1331 = 9 : 11   Ratio of surface areas   = 92 : 112 =81:121   81:121nswer:81:121
Answer: A
If 0 < m < 1 < n< 6, which of the following must be less than 1? I.m/n II. mn III. n - m Choose the correct choice from the following answers:
A) I only	B) III only	C) II,III only	D) II only	E) I,II only

Solution: n > 1. So, option II, III is not possible.   So, Option I is correct.   I onlynswer : I only
Answer: A
A and B undertake to do a piece of work for $500. A alone can do it in 5days while B alone can do it in 10days. With the help of C, they finish it in 2days. Find the share of C?	Answers.
A) $200  B) $150  C) $300  D) $25  E) $100

Solution: C's 1day work = (1/2)-(1/5 + 1/10) = 1/5   $200:B:C= 1/5 : 1/10: 1/5 = 2:1:2   B's share = 500*2/5= 
500*2/5 = 200
$200   $200nswer is $200
Answer: A
Light glows for every 13 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am. Choose the correct choice from the following:	A) 380 times	B) 381 times	C) 382 times	D) 392 times	E) 482 times

Solution: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/13)=382 times.   ANSWER:382 times
Answer: C
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?	Pick one:
A) 240 meters	B) 360 meters	C) 420 meters	D) 600 meters	E) Cannot be determined

Solution: Explanation:   Length of the platform = speed of train * extra time taken to cross the platform.   Length of platform = 72 kmph * 12 seconds   Convert 72 kmph into m/sec   1 kmph = 518518 m/s (This can be easily derived. But if you can remember this conversion, it saves a good 30 seconds).   ∴ 72 kmph = 518∗72518∗72 = 20 m/sec   Therefore, length of the platform = 20 m/s * 12 sec = 240 meters.   Correct answer: 240 meters
Answer: A
120 is what percent of 40?
.
Select
A) 0.2% B) 2% C) 5% D) 300% E) 500%

Solution: 120= x*40/100   x = 300%   Ans; 300%
Answer: D