MU-NLPC/Calc-aqua_rat huggingface dataset:
Annie has 100 cards numbered 1 through 100. If she deals five cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?  Select the correct option.
A) 95!/100!	B) 96!/100!	C) (95! X 5!)/100!	D) (96! X 5!)/100!	E) (97! X 4!)/100!

Solution: Alex to get 5 consecutive cards in ascending order, to have 5 consecutive at the end is good enough.   There are 96 consecutive numbers in 100: {1, 2, 3, 4, 5}, {2, 3, 4, 5, 6}, ..., {96, 97, 98, 99, 100};   Total ways to pick 5 cards out of 100 is C5100C1005;   So, P=\frac{favorable \ outcomes}{total \ # \ of \ outcomes}=\frac{96}{C^5_{100}}=\frac{5!*96!}{100!}.   Answer: (96! X 5!)/100!.
Answer: D
If a and b are even numbers, which of the following CANNOT be the value of a-b?  Choose the correct choice:	A) 10	B) 14	C) 21	D) 24	E) 26

Solution: 21 is an odd number and the subtraction of two even number should be an even number..   ans 21
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 3 children have two children of the same sex and one of the opposite sex? Pick:
A) 1/3	B) 2/3	C) 1/4	D) 3/4	E) 3/5

Solution: Let boy be represented by B and girl by G.   The possible outcomes of two children of same sex and one of opposite sex can be:   BBG OR GBB OR BGB OR GGB OR BGG OR GBG   (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2) + (1/2*1/2*1/2)   1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4   ANSWER:(3/4)
Answer: D
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 62 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choose the correct choice from the following choices:
A) 62 degrees B) 64 degrees C) 128 degrees D) 66 degrees E) 67 degrees

Solution: Explanation:   Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4)= 
(58 * 4) = 232
232 degrees ... (1)   Sum of temperatures on 2nd, 3rd, 4th and 5th days - (62 * 4)= 248 degrees ....(2)   Subtracting (1) From (2), we get :   Temp, on 5th day - Temp on 1st day = 16 degrees.   Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.   Then, 8x - 7x = 16 or x = 16. Answer: 128 degrees   Temperature on the 5th day = 8x = 128 degrees.
Answer: C
In a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?	Answers.
A) 1595  B) 1569  C) 1265  D) 1555  E) 1565

Solution: 1565xplanation:     65 * 24 + 5= 
  65 * 24 + 5 = 1_565
1565   Answer : 1565
Answer: E
The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choices:  A) 151  B) 149  C) 152  D) 251  E) None of the above

Solution: Corrected mean = 250×30−135+165/30   = 7500−135+165/30   =7530/30= 
7530/30 = 251
251   Answer 251
Answer: D
105*2 Answers: A) 11025 B) 23889 C) 29088 D) 1999 E) 17710

Solution: Here d = 5.   100 + 2 ×× 5 / 25 = 11025   11025nswer:11025
Answer: A
If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Options:
A) 2 B) 4 C) 5 D) 7 E) 3

Solution: Speed = 18 * 5/18= 
18 * 5/18 = 5
5 m/sec   Time taken= 900/5= 
900/5 = 180
180 sec ie. 3 mins.   Answer:3
Answer: E
A certain fruit stand sold orange for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?  Answers:
A) 12 B) 13 C) 14 D) 11 E) 15

Solution: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.   63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7   11
Answer: D
A clock strikes every hour once at 1.00 twice at 2.00 and so on. the clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00 the time needed to strike 1.00 is negligible. how long does the clock need for all its striking in 24 hours?
Choices
A) 138  B) 198  C) 267  D) 297  E) 191

Solution: The clock takes 12 secs to strike 9.00. So there are 8 gaps between 9 strikings. So the gap between the striking is 12/8= 
12/8 = 3/2 = around 1.5
1.5 seconds.   To strike 2.00 it takes= 1.5 seconds.   To strike 3.00 it takes = 3 seconds.   To strike 4.00 it takes = 4.5 seconds   ................   ................   To strike 12.00 it takes = 16.5 seconds.   So it takes a total of 1.5 + 3 + 4.5 + . . . . . . + 16.5 = 1.5 ( 1 + 2 + 3 + .... + 11) = 99 seconds to strike 12 hours.   For 24 hours it takes 99 × 2 = 198 seconds.   Answer:198
Answer: B
The average runs of a cricket player of 10 innings was 32. How many runs must he makes ih his next innings so as to increase his average of runs by 4?	Choose the correct choice.
A) 2  B) 4  C) 70  D) 76  E) None

Solution: Sol.   Average after 11 innings = 36.   Therefore required numbert of runs   = (36 × 11) – (32 × 10)   = 396 - 320= 
396 - 320 = 76
76.   Answer 76
Answer: D
if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?	Options:  A) 46.75  B) 40  C) 33.66  D) 66.66  E) 66.86

Solution: 55% are males   percentage of male red ants is 55*.85= 
55*.85 = 46.75
46.75   46.75NSWER:46.75
Answer: A
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they? Select
A) 200
B) 250
C) 500
D) 550
E) 600

Solution: N * 50 = (325000 - 300000)= 
(325000 - 300000) = 25_000
25000   N= 25000 / 50= 
25000 / 50 = 500
500   500
Answer: C
The smallest value of n, for which 2n+1 is not a prime number, is	Options:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: (2×1 + 1) = 3.   (2×2 + 1) = 5.   (2×3 + 1) = 7.   (2×4 + 1) = 9.   which is not prime , n=4.   ANSWER:4
Answer: B
Y and Z started a business investing Rs. 70,000 and Rs. 30,000 respectively. In what ratio the profit earned after 5 years be divided between Y and Z respectively?	Choose the correct answer.
A) 6:3	B) 3:7	C) 7:3	D) 3:6	E) None of these

Solution: Y:Z = 70000 : 30000 = 7:3.   ANSWER:7:3
Answer: C
Ravi purchased 20 dozens of toys at the rate of Rs. 350 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?  Choose the correct choice from the following answers:  A) 23%  B) 1.2%  C) 13.14%  D) 34.1%  E) 12.2%

Solution: C   C.P. of 1 toy = 350/12 = Rs. 29.16   S.P of 1 toy = Rs. 33   Profit = 3.83/31.25 * 100 = 13.14%
Answer: C
For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3).
If 3y = –50, then y = Choose the correct choice from the following answers:
A) –15
B) –7
C) 3
D) 6
E) 15

Solution: (3+2)(y-3)=-50..   y-3=-10..   y=-7   –7
Answer: B
Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers.
Sam: I don't know what the numbers are Pete.
Pete: I knew you didn't know the numbers... But neither do I.
Sam: In that case, I do know the numbers.1
What are the numbers?
Choose the correct choice from the following choices.
A) 1-2 B) 1-3 C) 2-4 D) 3-4 E) 2-3

Solution: Since Sam knows the sum of the numbers (x + y) he would only know the answer immediately if the sum was 4 (2 + 2) or 5 (3 + 2). Then when Pete (who knows x*y) knew that Sam didn't know the answer the product must have several numbers that add up to the sum (7 = 3 + 4, 7 = 5 + 2). When Pete doesn't know the answer at this point we know the product must have more than one pair of viable factors (12 = 3 * 4, 12 = 6 * 2). At this point Sam knows the numbers are 3 and 4 because they are the only numbers that meet these criteria.
Answer: D
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 6 years ? Pick:  A) 3277  B) 2977  C) 7119  D) 6077  E) 17112

Solution: Explanation: 40,000*(3/4)^6   Answer:7119
Answer: C
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.15000?  Answers:
A) 4965  B) 1879  C) 2779  D) 2672  E) 2782

Solution: 4965 = 15000(11/10)^3   = 19965   = 15000   ----------   4965   4965nswer: 4965
Answer: A
The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received? Choose the correct choice from the following answers.
A) 30 B) 31 C) 45 D) 40 E) 89

Solution: 1 SD from the mean is ADDING and Subtrating the amount if standard deviation from the mean one time. 2 SD from the mean is ADDING and Subtracting TWICE.   1SD from the mean ranges from 65 to 55, where 65 is within SD above the mean and 55 within 1SD below the mean   2SD=5 TWICE=10 from the the mean, which is 70 to 40, where 70 is within 2 SD above the mean AND 40 is within 2 SD below the mean.   Answer = 40
Answer: D
The music class consists of 4 girls and 6 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choose the correct answer.
A) 116  B) 158  C) 161  D) 165  E) 172

Solution: Reverse combinatorics approach is preferred method on this one   Note that at least 1 boy gives clue to using this method   116ll combinations - four girls = answer   116ll combinations is 10C3 = 120   116ll girls 4C3 = 4   So our answer is   120-4= 
  120-4 = 116
116   Hence, answer is (116)
Answer: A
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 40 percent of the pack would be outfielder cards? Choose the correct choice.
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: Solution: Let x be the number of outfielder cards remaining of removal.   x <= 0.4(8+x) ===> 0.6x <= 3.2 ==> x <= 5.33   S0, x = 5   So no. of cards to be removed is 12-5= 
12-5 = 7
7.   Option 7
Answer: D
How many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph? Choose the correct answer
A) 26  B) 24  C) 25  D) 82  E) 27

Solution: Explanation:   D = 100 + 140= 
100 + 140 = 240
240   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 240/10= 
240/10 = 24
24 sec   Answer: Option 24
Answer: B
Find the odd man out
3, 4 , 10 , 32 , 136 , 685 , 4116  Choose the correct choice
A) 32  B) 136  C) 685  D) 4116  E) 42

Solution: Series N*X+X, X starts from 1,2,3..., N=3 for first iteration. New value will become N for the next iteration     3*1+1= 
  3*1+1 = 4
4   4*2+2= 
4*2+2 = 10
10   10*3+3= 
10*3+3 = 33
33   33*4+4= 
33*4+4 = 136
136   136*5+5= 
136*5+5 = 685
685   685*6+6= 
685*6+6 = 4_116
4116   32NSWER:32
Answer: A
Frank is 15 years younger then John. In 4 years John will be twice as old as Frank. How old will Frank be in four years?	Choose the correct choice: A) 8 B) 10 C) 12 D) 15 E) 16

Solution: Frank is 15 years younger then John --> F+15=J;   In 5 years John will be twice as old as Frank (in 4 year John will be J+4 years old and Frank will be F+4 years old) --> J+4=2*(F+4) --> (F+15)+4=2*(F+4) --> F=11;   In 4 years Frank will be 11+4= 
11+4 = 15
15 years old.   Answer: 15.
Answer: D
Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 19% and the third was 14%. What will be the percentage decrease, if the salary is decreased in a single shot? Options:
A) 17.31%
B) 34.31%
C) 37.31%
D) 35.31%
E) 31.31%

Solution: Let Rs.100 be initial salary.   Salary After 1st decrease, 10% = 90   Salary After 2nd decrease, 19% = 72.9 i.e. reduced by 19 percent of 90   Salary After 3rd decrease, 14% = 62.694 i.e. reduced by 14 percent of 72.9   So if its decreased in single shot =   i = ( ( b - a ) /b ) * 100   =37.31%   ANSWER:37.31%
Answer: C
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability R that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?  Choices:
A) 8/28 B) R=9/28 C) 10/28 D) 10/18 E) 11/18

Solution: (3c2*2c1*3c2)/8c5   =(3*2*3) /(8*7*6/3*2)   =18/56   =9/28   R=9/28
Answer: B
Angelo and Isabella are both salespersons. In any given week, Angelo makes $590 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money? Select:
A) 23,500	B) 24,500	C) 25,500	D) 26,500	E) 27,500

Solution: Let the weekly sales of both = x   590+(x−1000)8/100=10/100x   x = 25500   ANSWER:25,500
Answer: C
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?  Choose the correct choice from the following answers
A) Rs.126  B) Rs.120  C) Rs.127  D) Rs.197  E) Rs.122

Solution: When compounded annually, interest   = 12000[1 + 20/100]1 - 12000 = Rs.2400   When compounded semi-annually, interest   = 12000[1 + 10/100]2 - 12000 = Rs.2520   Required difference = 2520 - 2400 = Rs.120   Answer:Rs.120
Answer: B
P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race? Choose the correct choice from the following options
A) 90 B) 100 C) 110 D) 120 E) 130

Solution: Let D be the race distance that P ran.   Let T be the time it took to complete the race.   Let V be Q's speed.   T = D/1.25V = (D-20) / V   D=1.25D-25   0.25D=25   D=100 meters.   The answer is 100.
Answer: B
Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of Y/X ? Pick:
A) 3. B) 2. C) 1/2. D) 1/4 E) There isn't enough data to answer the question.

Solution: Answer is 1/4 : 1/4   X - Y = (X + Y)/3   Solving for Y/X = 1/4
Answer: D
Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?	Choose the correct choice from the following options:
A) 120 grams B) 140 grams C) 240 grams D) 280 grams E) None of these

Solution: The seven pieces consist of 6 smaller equal pieces and one half cake piece.   Weight of each small piece = 20 g.   So, total weight of the cake = [2 x (20 x6)]g= 240 g.   ANSWER:240 grams
Answer: C
Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 750 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
Choose the correct choice from the following.
A) 8  B) 30  C) 40  D) 50  E) 60

Solution: One way to do this would be weighted average method..   1) let the average of 5 mocks be x...   so take it as a mix of5 quantitites of xand1 quantity of 750resulting in an average of 726.67...   By alligation/weighted average..   the difference in 750 and 726.67 is 5/6 of difference of 750 and x..   750-726.67 = 5/6 * (750-x)   750-x= 23.33*6/5=28...   so x = 722..   the last of mock test will be 722+10+10=742...   so ans = 750-742= 
750-742 = 8
8   8
Answer: A
Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in three hours, what fraction of the room can Joseph paint in 20 minutes?	Pick
A) 1/3x	B) x/(x-9)	C) (x-3)/9x	D) x/(x-3)	E) (x-3)/x

Solution: Let J be Joseph's rate per hour.   1/x + J = 1/3 of a room per hour   J = 1/3 - 1/x, of a room per hour   In 20 minutes, Joseph can paint 1/3*(1/3-1/x) = 1/9-1/3x = (x-3)/9x   The answer is (x-3)/9x.
Answer: C
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 1 rounds per hour and 1 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?	Select:
A) A)5  B) B)6  C) C)8  D) D)3  E) E)9

Solution: Relative speed = 1 + 1= 
1 + 1 = 2
2 rounds per hour.   So, they cross each other 2 times in an hour and 1 times in half an hour.   Hence, they cross each other 3 times before 9.30 a.m.   ANSWER:3
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 10:8:2. If there are in all Rs.90, the number of 50 paisa coins is? Choose the correct choice.
A) 120  B) 110  C) 90  D) 80  E) 100

Solution: 10x 8x 2x   50 25 100   500x + 200x + 200x = 4200   900x = 9000   x = 10 => 10x = 100   Answer: 100
Answer: E
How much 60% of 50 is greater than 40% of 30? Pick one
A) 18  B) 13  C) 15  D) 20  E) 25

Solution: Explanation:   (60/100) * 50 â€“ (40/100) * 30   30 - 12= 
30 - 12 = 18
18   18nswer is 18
Answer: A
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped four times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
Choose the most appropriate option.
A) 3/8
B) 1/16
C) 5/8
D) 3/4
E) 5/16

Solution: There are 16 possible outcomes.   One outcome (2222) has a sum equal to 8.   Four outcomes (1222, 2122, 2212, 2221) have a sum equal to 7.   P(the sum is greater than 6) = 5/16   The answer is 5/16.
Answer: E
Each child has 4 crayons and 14 apples. If there are 9 children, how many crayons are there in total?	Answers: A) 22 B) 65 C) 12 D) 36 E) 10

Solution: 4*9= 
4*9 = 36
36.Answer is 36.
Answer: D
A taxi charges w dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars.  Choose the correct choice from the following answers
A) wn – c/8(100)  B) cw + 4n-8/200  C) w + (4cn-8c)/100  D) w + 100cn/4  E) 4cw(n-2) – 100

Solution: This is about as complicated as these types of problems come, but it is essentially the same as any problem which has an initial cost which is added to a dependent additional cost. Looking at the problem, we notice that the cost w is added to the mile dependent cost, which is some combination of the other terms listed in the problem. With just that knowledge we can eliminate all but two of the answer choices! Choices (A), (B), and (E) either do some strange calculation with the initial cost w, or subtract the additional cost from w. Both of these circumstances would be next to impossible if there is an initial cost being added to another cost. Thus, we only have to choose between choice (C) and choice (D). We can easily find the right answer by plugging in real numbers and checking which choice yields a correct answer. We can also see that answer choice (D) seems to be multiplying the cost in cents by 100, which, if the trip was 6 miles and the charge per mile was 25 cents, would make the taxi cost an additional $3750! This seems impossible, and leaves only the correct answer choice, (w + (4cn-8c)/100).
Answer: C
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital? Choose the correct choice from the following answers:
A) Rs. 7500
B) Rs. 8000
C) Rs. 8500
D) Rs. 9000
E) None of these

Solution: Explanation:   Let B's capital be Rs. x.   Then,(3500x 12 / 7 )=2/3   14x = 126000   x = 9000.   Answer is Rs. 9000
Answer: D
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 330 m long platform?  Choose the correct choice from the following answers.
A) 37 min B) 55 min C) 47 min D) 67 min E) 45 min

Solution: E   45 min   Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +330)/ 36 * 5/18 = 45 min.
Answer: E
Find the fourth proportion to 5,10,15
Choose one: A) 10 B) 20 C) 42 D) 36 E) 30

Solution: 30xplanation:   5:10 :: 15:x   => 5/10= 15/x   => x = 15*10/5   => x = 30   Answer:30
Answer: E
In a carton containing a dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors? Options
A) 2 : 1	B) 3 : 1	C) 3 : 2	D) 7 : 5	E) None

Solution: Sol.   For dividing 12 into two whole numbers, the sum of the ratio terms must be a factor of 12. So, they cannot be in the ratio 3 : 2.   Answer 3 : 2
Answer: C
7, 26, 63, 124, 215, 342, (....)	Options:
A) 481	B) 511	C) 421	D) 391	E) 515

Solution: The series is (23 - 1), (33 - 1), (43 - 1), (53 - 1), (63 - 1), (73 - 1), ...   Hence, next number is (83 - 1) = 511   Answer is 511
Answer: B
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum x of all the even integers between 99 and 301?
Options.
A) 10,100  B) 20,200  C) 22,650  D) 40,200  E) 45,150

Solution: I would solve it in a different way.   First of all, total number of even integers between 99 and 301 are, (301-99)/2 = 202/2= 
202/2 = 101
101   Average= (301+99)/2 = 400/2= 
400/2 = 200
200   Sum x= Average*total count = 200*101 = 20,200   Answer is 20,200
Answer: B
A boat covers a certain distance downstream in 1 hour, while it comes back in 11⁄2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water? Choose the correct choice from the following.
A) 14 kmph
B) 15 kmph
C) 13 kmph
D) 12 kmph
E) None of these

Solution: Explanation :   Let the speed of the water in still water = x   Given that speed of the stream = 3 kmph   Speed downstream = (x+3) kmph   Speed upstream = (x-3) kmph   He travels a certain distance downstream in 1 hour and come back in 11⁄2 hour.   ie, distance travelled downstream in 1 hour = distance travelled upstream in 11⁄2 hour   since distance = speed × time, we have   (x+3) × 1 = (x−3)(3/2)   => 2(x + 3) = 3(x-3)   => 2x + 6 = 3x - 9   => x = 6+9= 
6+9 = 15
15 kmph. Answer : Option 15 kmph
Answer: B
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?  Options.
A) 128  B) 150  C) 887  D) 279  E) 771

Solution: 1/2 * 20(9 + 6) = 150 cm2   Answer: 150
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 100, the dividend is: Choose the most appropriate option.
A) A)5322
B) B)5330
C) C)25100
D) D)53400
E) E)53420

Solution: Divisor = (5 * 100)= 
(5 * 100) = 500
500= 10 * Quotient = Divisor   => Quotient = 500/10= 
500/10 = 50
50   Dividend= (Divisor * Quotient) + Remainder   Dividend = (500 * 50) + 100= 
(500 * 50) + 100 = 25_100
25100.   25100
Answer: C
The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Pick one.
A) 235
B) 240
C) 245
D) 250
E) 260

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (140 + x)/30 = 25/2 => 2(140 + x) = 750 => x = 235 m.   235nswer: Option 235
Answer: A
The ages of 2 persons differ by 35 years. If 10 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.	Choose the correct choice from the following options
A) 30
B) 48.5
C) 52
D) 50
E) 55

Solution: age of the younger person = x   age of the elder person = x+35   6(x-10) = x+35-10   x= 15   age of elder person = 15+35= 
15+35 = 50
50   Answer is 50
Answer: D