MU-NLPC/Calc-aqua_rat huggingface dataset:
In the xy-coordinate system, what is the slope of the line that goes through point (2, 4) and is equidistant from the two points P = (9, 3) and Q = (5, 9)?
Choose the correct choice from the following options:
A) 0.1
B) 0.2
C) 0.3
D) 0.4
E) 0.5

Solution: First, get the middle coordinate between (9,3) and (5,9).   x = 9 + (5-9)/2= 
9 + (5-9)/2 = 7
7   y= 3 + (9-3)/2= 
3 + (9-3)/2 = 6
6   Second, get the slope of (7,6) and (2,4). m= 6-4 / 7-2 = 2/5= 
2/5 = 2/5 = around 0.4
0.4   Answer: 0.4
Answer: D
A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in?
Select the correct option:
A) 1/65 B) 1/62 C) 1/63 D) 1/60 E) 1/61

Solution: A = 140 days   B = 105 days   1/140 + 1/105 = 7/420 = 1/60   =>60 days   Answer: 1/60
Answer: D
45 men can complete a work in 16days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?	Choices.
A) 6
B) 10
C) 15
D) 7
E) 8

Solution: 45*16 men can complete the work in 1 day   1 man's 1 day work = 1/720   45 men 6days work = 6*1/16 = 3/8   remaining work = 1-3/8 = 5/8   75 men's 1 day's work = 75/720 = 5/48   5/8 work is done by them in  48/5 * 5/8= 
 48/5 * 5/8 = 6
6days   6nswer is 6
Answer: A
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Answers:  A) 28  B) 68  C) 25  D) 23  E) 11

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68
Answer: B
A large box contains 17 small boxes and each small box contains 26 chocolate bars. How many chocolate bars are in the large box?	Choose the correct choice from the following
A) A)442 B) B)490 C) C)380 D) D)450 E) E)690

Solution: the only thing you have to do is a simple multiply   we have:   17*26= 
17*26 = 442
442   correct answer is:   442) 442
Answer: A
A shopkeeper sold an article offering a discount of 5% and earned a profit of 34.9%. What would have been the percentage of profit earned if no discount had been offered? Select.
A) 28.5	B) 27.675	C) 30	D) Data inadequate	E) 42

Solution: Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.   Then printed price = 100Ã—(100+34.9)/(100âˆ’5)=142   Hence, required % Profit = 142 â€“ 100 = 42%   Answer 42
Answer: E
The ages of Raju and Biju are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present ages are: Choose one:
A) 30yrs, 10yrs  B) 45 yrs, 15yrs  C) 21 yrs, 7 yrs  D) 60yrs, 20yrs  E) 40yrs, 20yrs

Solution: Let the ages of raju and Biju is 3x and x years respectively.   Then, (3x +15)/ (x+15) = 2/1;   -> 2x + 30 = 3x + 15 -> x = 15   So Raju’s age = 3*15= 
3*15 = 45
45 and 45 yrs, 15yrsiju’s age= 15 years   ANSWER:45 yrs, 15yrs
Answer: B
The sum of money will be thrice itself in 15 years and simple interest find rate of interest? Choose the correct option
A) A)12.33%
B) B)13.33%
C) C)14.33%
D) D)15.33%
E) E)16.33%

Solution: T = 15 years   P= principle amount = x   A = total amount = 3x   SI = simple interest = A-P = 3x-x = 2x   R = 100SI/PT = 100.2x/15x =13.33%   Answer is 13.33%
Answer: B
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choose the correct choice from the following:  A) 657  B) 280  C) 438  D) 289  E) 427

Solution: x*(85/100)   = (480 - x)119/100   x = 280   Answer:280
Answer: B
A certain junior class has 1000 students and a certain senior class has 600 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?	Choose the correct choice
A) 3/40000  B) 1/1000  C) 9/2000  D) 1/60  E) 1/15

Solution: Let's see   Pick 60/1000 first   Then we can only pick 1 other pair from the 800   So total will be 60 / 600 *1000   Simplify and you get 1/10000   Answer is 1/1000
Answer: B
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?  Choose the correct choice: A) 4 B) 5 C) 6 D) 7 E) 8

Solution: S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min   4nswer: 4
Answer: A
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.560, find the number of 50 paise coins ?  Choose the correct choice.
A) 498
B) 488
C) 428
D) 528
E) 600

Solution: 50*3k + 20*4k + 10*5k = 56000   280k = 56000 => k = 200   50p coins = 3k = 3*200= 
3*200 = 600
600   ANSW600R:600
Answer: E
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives :  Choose one:	A) 14700	B) 14703	C) 37798	D) 13777	E) 14778

Solution: Explanation:   Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>   x = 12000.   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.   14700nswer: 14700) 14700
Answer: A
One hour after Matthew started waking from w to y, a distance of 45km, Johnny started walking along the same road from y to w. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?	Options:
A) 24
B) 23
C) 22
D) 21
E) 19.5

Solution: Just an alternative method...   After the first hour the distance w is 42 km (45-3). Now the problem can be treated as if bothof them started at the same time. Since the speeds are in the ratio 3 : 4, the distances will also be in the same ratio. Splitting 42 in that ratio we get 18 : 24. So answer is 24.   Hence 24.
Answer: A
What will be the difference between simple and compound interest at 6% per annum on a sum of Rs. 1000 after 4 years?	Choose the correct option
A) 24.19  B) 24.12  C) 22.1  D) 24.1  E) 22.5

Solution: S.I. = (1000 * 6 * 4)/100 = Rs. 240   C.I. = [1000 * (1 + 6/100)4 - 1000] = Rs. 262.5 Difference = (262.5 - 240) = Rs. 22.5   Answer: 22.5
Answer: E
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how much does one shirt cost?  Select.
A) $10	B) $12	C) $13.20	D) $15	E) $16.80

Solution: 3J + 2S = 69   2J + 3S = 71   ----------------   5J + 5S = 140 ----(divide by 5)---> J + S = 28   3J + 2S = J + 2(J + S) = J + 56 = 69 ---> J = 13   3*13 + 2S = 69   39 + 2S = 69   2S = 30   S = 15   Answer: $15
Answer: D
A baseball team won 50 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
Pick one:
A) 36
B) 41
C) 50
D) 55
E) 81

Solution: Games won out of first 80 questions = (50/100)*80= 
(50/100)*80 = 40
40   Total Games= 80+82= 
80+82 = 162
162   Games to be won= (50/100)*162= 
(50/100)*162 = 81
81   Remaining games to be won= 81-40= 
81-40 = 41
41   Answer: Option 41
Answer: B
If l and g are distinct prime numbers less than 10, which of the following cannot be the product of l and g?	Choices.
A) 6  B) 9  C) 10  D) 14  E) 15

Solution: If l and g are distinct prime numbers less than 10, prime numbers less than 10 are 2, 3, 5, 7   all except 9 is product of any two numbers picked from above set.   Ans: 9
Answer: B
Susan is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of bap. The pattern repeats after she leaves the morsel of rye. If Susan drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?  Pick:
A) wheat − wheat − white	B) bap − wheat − wheat	C) white − bap − wheat	D) white − white − white	E) white − white − bap

Solution: In a single round Susan drops 6 morsels.   Remainder (2000/6) = 2   Final action = 2 drops of Wheat --> Options A, C, D and E can be eliminated   Answer: bap − wheat − wheat
Answer: B
FOG + FOG + FOG + FOG = 1468.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ?  Choose the correct answer:
A) 11
B) 12
C) 13
D) 14
E) 16

Solution: given,FOG + FOG + FOG + FOG = 1468   4(FOG)=1468   =>FOG=367   Face value of F is:3   Face value of O is:6   Face value of G is:7   so F+O+G=3+6+7= 
3+6+7 = 16
16   ANSW16R:16
Answer: E
The ration of the father’s age to his son’s age is 7:3.The product of their ages is 756.The ratio of their ages after 6 years will be :	Choose the correct choice from the following answers:
A) 5:2  B) 2:1  C) 11:7  D) 13:9  E) None of these

Solution: Solution   Let the present ages of the father and son be 7x and 3x years respectively.   Then,7x 3x =756 ⇔ 21x2=756 ⇔ x2=36 ⇔ x=6.   ∴ Required ratio =(7x +6) :(3x +6)=48:24=2:1. Answer 2:1
Answer: B
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 25 degrees?
Choose one.
A) π	B) 3π/2	C) 2π	D) 5π/9	E) 8π

Solution: Area = 16π   Radius = 4   Circumference = 2 x 4 x π = 8π   Angle forming the arc = 25 degrees. 25/360 = 5/72.   Therefore length of arc = 5/72 * 8π = 5π/9 - Answer choice 5π/9.
Answer: D
A palindrome is a number that reads the same forward and backward, such as 242. How many even seven-digit numbers are palindromes?	Choices
A) 40
B) 4000
C) 500
D) 5,000
E) 100,000

Solution: if the palindrome must be even, it must begin and end in 2,4 6 and 8 ( 4 ways) e.g 2221222,4441444.   The middle number in the seven-digit could be 0-9 ( 10 ways), e.g 2225222, 2228222   The 2nd and fourth numbers could must also be same i.e 0-9( 10 ways) e.g 2234322, 2856582   The 3rd and fifth numbers could must also be same i.e 0-9( 10 ways) e.g 2234322, 2856582   we thus have, 4 *10**10*10 = 4000.4000
Answer: B
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of
students in the college is
Choose the correct choice from the following answers.
A) 420  B) 520  C) 620  D) 620  E) None of these

Solution: Explanation:   Let the boy are 8x and Girls are 5x   => 5x = 200   => x = 40   Total students = 8x+5x = 13x 8 +5= 
8 +5 = 13
13x= 13(40) = 520   Answer: 520
Answer: B
If 76 is divided into four parts proportional to 7,5,3,4, then the smallest part is : Choose the correct choice from the following:
A) 12
B) 15
C) 16
D) 19
E) 20

Solution: Solution   Given ratio = 7 : 5 : 3 : 4,Sum of ratio terms = 19.   ∴ Smallest part =(76x3/19) = 12.   12nswer 12
Answer: A
If x and y are both odd prime numbers and x < y, how many distinct positive integer E factors does 2xy have? Select the correct option.
A) 3 B) 4 C) 6 D) 8 E) 12

Solution: Since 2xy prime E factors are x^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think 8 would be the correct answer.
Answer: D
Find the average of all the numbers between 4 and 32 which are divisible by 5.  Choose the correct choice from the following:	A) 17.5	B) 20	C) 24	D) 30	E) 32

Solution: Solution   Average	= (5+10+15+20+25+30)/6)   = 105 / 6   = 17.5.   17.5nswer 17.5
Answer: A
Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations W of classes are available? Choose the correct option
A) 3  B) 6  C) W=7  D) W=9  E) W=12

Solution: I think it should be E only.   No where it is given that he attends different classes on each day.   Experts please provide your views.   --- EDITED my Response. It was a typo. I meant 12 is the answer.   If only W=9ay 1 : 3 options   If W=9ay 1 and W=9ay 2 : 3*3= 
3*3 = 9
9 Options   So, Total= 3+9= 
3+9 = 12
12.
Answer: D
Find the perimeter and area of a square of side 9 cm.	Choose the correct choice from the following choices:	A) 36	B) 49	C) 64	D) 81	E) 100

Solution: We know that the perimeter of square = 4 Ã— side   Side= 9 cm   Therefore, perimeter = 4 Ã— 9 cm = 36 cm   Now, area of the square = (side Ã— side) sq. units   = 9 Ã— 9 cmÂ²   = 81 cmÂ²   ANSWER : 81
Answer: D
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options
A) 399
B) 77
C) 500
D) 77
E) 221

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   Answer: 500
Answer: C
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46 meters. How many times did the ball bounce? Choose the correct choice from the following answers
A) 4	B) 6	C) 7	D) 8	E) 9

Solution: Division of total distance traveled will be 16+16+8+4+2   4ns: 4
Answer: A
In the following question, various terms of an alphanumerical series are given with one or more terms missing as shown by (?).Choose the missing terms out of the given alternatives. 2Z5, 7Y7, 14X9, 23W11, 34V13, ? Choose the correct choice from the following answers: A) 47U77 B) 47U79 C) 47U71 D) 47U72 E) 47U99

Solution: Explanation:   The first numbers increase by 5, 7, 9, 11....   The letters move one step backward.   The last numbers are consecutive odd numbers.   47U77nswer: 47U77) 47U77
Answer: A
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: Choices:
A) 145 B) 253 C) 370 D) 352 E) 452

Solution: Let the middle digit be x. Then, 2x = 10 or x = 5.   So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.   ANSWER:253
Answer: B
In a group of ducks and cows, the total number of legs are 30 more than twice the number of heads. Find the total number of cows. Pick one:	A) 12	B) 15	C) 16	D) 18	E) 20

Solution: Let the number of ducks be d   and number of cows be c   Then, total number of legs = 2d + 4c = 2(d + 2c)   total number of heads = c + d   Given that total number of legs are 28 more than twice the number of heads   => 2(d + 2c) = 30 + 2(c + d)   => d + 2c = 15 + c + d   => 2c = 15 + c   => c = 15   i.e., total number of cows = 15   Answer is 15.
Answer: B
Louie takes out a three-month loan of $4000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?	Choose the correct choice from the following answers.
A) A)333  B) B)383  C) C)1608  D) D)433  E) E)483

Solution: Here's the calculation for that case, assume monthly payment is X.   After 1st month: (4000)(1.1)-X = 4400-X   After 2nd month: (4400-X)(1.1)-X = 4840-2.21X   After 3rd month: (4840-2.21X)(1.1)-X = 5324-3.31X   Now, the amount after the last payment in 3rd month must bring the total to 0. Hence:   5324-3.31X = 0   X = 5324/3.31 = 1608.45   Answer 1608
Answer: C
If the average (arithmetic mean) of a and b is 45 and the average of b and c is 70, what is the value of c − a?	Choose the correct choice from the following choices
A) 25  B) 50  C) 90  D) 140  E) It cannot be determined from the information given

Solution: the arithmetic mean of a and b =(a+b)/2=45 -- a+b=90 --1   similarly for b+c=140 --2   subtracting 1 from 2 we have   c-a=50;   ANSWER:50
Answer: B
Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-X and two unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?  Answers:
A) 0.008	B) 0.1	C) 0.12	D) 0.006	E) 0.007

Solution: Suppose machine X produce 1000 units   total defective = 9   Machine Y then produces=1500 units   total defective=6   probability=15/2500= 
15/2500 = 3/500 = around 0.006
0.006   Answer : 0.006
Answer: D
The length of a rectangle is 4 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
Choose the correct answer.
A) 30 square inches  B) 75 square inches  C) 100 square inches  D) 89 square inches  E) 92 square inches

Solution: If the width is 5 in and the length is 4 times the width, then the length is    4 * 5= 
 4 * 5 = 20
20 in   The area is given by     5 * 20= 
  5 * 20 = 100
100 square inches   correct answer 100 square inches
Answer: C
Find the odd man out
7, 8, 18, 57, 228, 1165, 6996
Choose the correct choice from the following choices:
A) 8
B) 18
C) 57
D) 228
E) 258

Solution: 7   7*1+1= 
7*1+1 = 8
8   8*2+2= 
8*2+2 = 18
18   18*3+3= 
18*3+3 = 57
57   57*4+4= 
57*4+4 = 232
232   232*5+5= 
232*5+5 = 1_165
1165 and so on   ANSWER:228
Answer: D
Find the sum of all 3 digit natural numbers, which are divisible by 8.
Choices
A) 61376  B) 54411  C) 612314  D) 64170  E) 64171

Solution: The three digit natural numbers divisible by 8 are   104, 112, 120, …. 992.   Let Sndenote their sum. That is, Sn = 104 112 120 128 , 992 g + + + + + .   Now, the sequence 104, 112, 120, g, 992 forms an A.P.   a=104, d=8, l=992   n=l-a/d   n=112   S112=n/2(a+l)=61376   Option 61376
Answer: A
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 4km/hr. Total time of travel is 6 hours. What is the maximum distance he
can cover?  Choose the correct choice.
A) 20km	B) 40km	C) 60km	D) 80km	E) 26.6km

Solution: t=d/s, so   6=x/2*1/5+x/2*1/4(because half distance with 5 km/ph, and remaining half with 4km/hr)   6=x(18/80)   x=26.6km   ANSW26.6kmR:26.6km
Answer: E
The average of five consecutive odd numbers is 55. What is the difference between the highest and lowest numbers?	Choose the correct choice from the following answers:
A) 2
B) 5
C) 8
D) 9
E) 10

Solution: Explanation :   Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.   Then, (x + (x + 2) + (x + 4) + (x + 6) + (x + 8))/5 = 55   5x + 20 = 275   x = 255/5= 
255/5 = 51
51.   So, required difference= (51 + 8) 51 = 8   Answer : 8
Answer: C
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice? Choose one.
A) 10	B) 12	C) 14	D) 16	E) 18

Solution: 1 X 12 ounce can of concentrate + 4 X 12 ounce cans of water = 60 ounces of the mixture.   60 ounces of mixture gives  (60 / 6 )= 
 (60 / 6 ) = 10
10 servings.   Thus 1 x 12 ounce can of concentrate is used to produce 10 servings of the mixture.   To make 120 servings of the mixture, we need 120 / 10= 
120 / 10 = 12
12 cans of the concentrate.   The answer is 12.
Answer: B
If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
Pick:
A) 11 1/8%
B) 11 1/7%
C) 11 1/9%
D) 61 1/9%
E) 21 1/9%

Solution: 100 – 10 = 90   90------10   100------? => 11 1/9%   Answer: 11 1/9%
Answer: C
If k^2 = t^2, which of the following must be true?
Choose the correct choice from the following.
A) |k| = |t| B) k = -m C) k = |m| D) k = -|m| E) k = m

Solution: Solution:   We are given that k^2 = t^2, and we can start by simplifying the equation by taking the square root of both sides.   √k^2 = √t^2   When we take the square root of a variable squared, the result is the absolute value of that variable. Thus:   √k^2 = √t^2 is |k| = |t|   Note that answer choices A through D could all be true, but each of them would be true only under specific circumstances. Answer choice E is the only one that is universally true.   |k| = |t|nswer: |k| = |t|
Answer: A
The ratio of the radius of two circles is 1: 9, and then the ratio of their areas is? Choose the correct choice from the following answers:  A) 1: 8  B) 1: 6  C) 1: 9  D) 1: 3  E) 1: 81

Solution: r1: r2 = 1: 9   Πr12: Πr22   r12: r22 = 1: 81   Answer:1: 81
Answer: E
Peter rolls two dice at the same time. What is the probability that total sum of the numbers on the dices is 4?  Choose the correct choice from the following.
A) a) 1/12
B) b) 1/36
C) c) 1/6
D) d) 5/12
E) e) 1/3

Solution: We can have 6 different outcomes on a dice.   Total outcomes on two dices = 6*6   We need only the cases where total sum of the numbers on the dices is 4   They can be {1, 3}, {2, 2}, {3, 1}   A total of 3 outcomes   Probability = favorable outcomes/ total outcomes = 3/36 = 1/12.   Option a) 1/12
Answer: A
A can do a piece of work in 8 days. B can do it in 16 days. With the assistance of C they completed the work in 4 days. Find in how many days can C alone do it?  Choose the correct choice from the following choices.
A) 87 days  B) 20 days  C) 26 days  D) 19 days  E) 16 days

Solution: C = 1/4 - 1/8 - 1/16 = 1/16   => 16 days   Answer:16 days
Answer: E
A boy wants to go abroad by boat and return by flight. He has a choice of 5 different boat to go and 2 flight to return. In how many ways, can the boy perform his journey? Select the correct option
A) 10 B) 20 C) 45 D) 60 E) 70

Solution: Ans.(A)   Sol. Number of choices to go by ship = 5 Number of choices to return by airline = 2 From, fundamental principle, total number of ways of performing the journey = 5 x 2 = 10 ways
Answer: A
John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?  Select:  A) 16%  B) 16.66%  C) 76.69%  D) 76.98%  E) 75%

Solution: Increase = (30/40)*100 = (3/4)*100= 
(3/4)*100 = 75
75%.   75%
Answer: E
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choose the most appropriate option:
A) 766 m	B) 156 m	C) 245 m	D) 156 m	E) 235 m

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time   = 30 sec. Let the length of bridge be x meters. Then, (140 + X)/30 = 25/2   ==> 2(140 + X) = 750 ==> X   = 235 m.   Answer: 235 m
Answer: E
Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 2 on it exactly once? Options
A) 9/100
B) 1/10
C) 18/100
D) 19/100
E) 1/5

Solution: Probability = No of balls with exactly one 2 / total number of balls   = {2,12,20,21,23 to 29, 32,42,52,62,72,82,92}/100   = 18/100   Answer is 18/100
Answer: C
How long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length? Pick one:
A) 33	B) 72	C) 55	D) 82	E) 62

Solution: Explanation:   T = (660 + 165)/90 * 18/5= 
(660 + 165)/90 * 18/5 = 33
33   33nswer: Option 33
Answer: A
A man can row upstream at 3km/hr and down stream at 13km/hr find mans rate in still water ?
Choose the correct choice from the following answers.
A) 2km/hr
B) 4km/hr
C) 6km/hr
D) 8km/hr
E) 10km/hr

Solution: :	given upstream(u) =3km/hr   down stream (v)= 13km/hr rate in still water =1/2(u+v)=1/2(3+13)=8km/hr Answer is (8km/hr):8
Answer: D
How many seconds will a 800 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose one.
A) 22
B) 48
C) 99
D) 77
E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 800 * 3/50= 
800 * 3/50 = 48
48 sec.   Answer: 48
Answer: B
xy=1 then what is (6^(x+y)^2) / (6^(x-y)^2)	Options: A) 1296 B) 4 C) 8 D) 16 E) 32

Solution: (x+y)^2 - (x-y)^2   (x+y+x-y)(x+y-x+y)   (2x)(2y)   4xy   4   6^4 = 1296   1296nswer 1296
Answer: A