MU-NLPC/Calc-aqua_rat huggingface dataset:
3 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH  Choose the correct choice from the following answers:
A) 1/5	B) 2/9	C) 1/45	D) 2/45	E) NONE OF THESE

Solution: REQUIRED PERCENT1/5GE=(3/1500*100)%=1/5%   CORRECT OPTIONS: 1/5
Answer: A
A train 200 m long can cross an electric pole in 5 sec and then find the speed of the train?
Choose one.
A) 114	B) 124	C) 134	D) 144	E) 154

Solution: Length = Speed * time   Speed = L/T   S = 200/5= 
200/5 = 40
40 M/Sec   Speed= 40*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 144 Kmph   Answer:144
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choose the correct choice from the following options.
A) 170 m  B) 177 m  C) 278 m  D) 150 m  E) 271 m

Solution: Speed=(60 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer:150 m
Answer: D
In 1 hour, a boat goes 10 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is :	Choose the correct choice from the following answers:
A) 3 km/hr.
B) 2 km/hr.
C) 11 km/hr.
D) 8 km/hr.
E) 5 km/hr.

Solution: Speed in still water = 1/2(10 + 12) km/hr   = 11 km/hr. ANSWER :11 km/hr.
Answer: C
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?  Select:
A) 1/3
B) 2/11
C) 4/13
D) 5/13
E) 5/14

Solution: Here, n(S) = 52   There are 13 cards of diamond (including one king) and there are 3 more kings.   Let E = event of getting a diamond or a king.   Then, n(E) = (13 + 3)= 
(13 + 3) = 16
16   P (E)= 16 / 52 = 4/13   4/13
Answer: C
If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 8, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?	Choose the correct choice from the following options.
A) 1/3	B) 1/4	C) 1/5	D) 1/6	E) 1/7

Solution: 1/3
Answer: A
Miguel is 46 years old. He is 6 years older than twice his son’s age. Find the age of his son. Choose the correct choice:
A) 11years  B) 12years  C) 13years  D) 14years  E) 20years

Solution: sons age=x   46-2x=6   x=20years   ANSW20yearsR:20years
Answer: E
if integer N has p factors ; how many factors will 5N have ? Select
A) p
B) 2p
C) P+1
D) 2p+1
E) Cannot be determined

Solution: Case 1:   Let N = 6 => 2 x 3 (prime factorization) => p = 4;   5N =30 => no. of factors = 8; (p+2)   Case 2:   Let N = 7 => p = 2;   5N = 35 => no of factors = 4; (p+2)   For different N different results are observed. So, shouldn't Cannot be determined be the right answer?
Answer: E
There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H? Choices.
A) 39 B) 40 C) 51 D) 58 E) 63

Solution: {Total} = {M} + {N} - {Both}   {Total} = 42 + 28 - 12= 
42 + 28 - 12 = 58
58.   Answer: 58.
Answer: D
If a and b are positive integers and (2^a)^b = 2^5, what is the value of 2^a*2^b?  Choose the correct choice:	A) 8	B) 64	C) 16	D) 32	E) 4

Solution: 2^ab =2^5 therefore ab=5 either a=1or5 or b=5 or 1   therefore 2^a* 2^b = 2^(a+b)= 2^6 =64   64
Answer: B
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was? Choose the most appropriate option
A) 120000
B) 298991
C) 299992
D) 188611
E) 122111

Solution: X * (105/100) * (105/100) * (105/100) = 138915   X = 138915/1.157625= 
138915/1.157625 = 120_000
120000   120000nswer: 120000
Answer: A
What percent is 6 gm of 1 kg?	Choices.
A) 1.5 %	B) 0.5 %	C) 0.6 %	D) 3.5 %	E) 4 %

Solution: 1 kg = 1000 gm   6/1000 × 100 = 600/1000   =3/5= 
3/5 = 3/5 = around 0.6
0.6 %   0.6 %)
Answer: C
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Select
A) 45  B) 60  C) 75  D) 90  E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   Answer: Option 90
Answer: D
Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 6 hours. How long would it take Taimour to paint the fence alone?
Options:	A) 6 hours	B) 8 hours	C) 18 hours	D) 24 hours	E) 32 hours

Solution: I believe the answer is C. Please see below for explanation.   if Jamshid can paint a dence in 50 percent less time then Taimour we can infer the following rate J = 2T   if working together they can do the job in 8 hours we can infer 1 = 2T+T * 6 => 1/18   Working alone Taimour can do the job in 1 = 1/18* hours => 18   Answer 18 hours
Answer: C
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?  Choose the correct choice from the following
A) 12 km/hr  B) 3 km/hr  C) 17km/hr  D) 16km/hr  E) 19km/hr

Solution: Let A's speed = x km/hr. Then, B's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, A is faster than B, so A's speed = 4 km/hr and B's speed   = 3 km/hr.   Answer:3 km/hr
Answer: B
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?	Choose the correct answer
A) 2,145  B) 6,435  C) 12,100  D) 2420  E) 25,740

Solution: Since we are given atleast one symmetric letter in the three letter word we can take the following cases   1. All two   2. One symmetry and other two non   4. All the two letters can be arranged in 2 ways   ( 11c2+ 11c1 * 15c2) *2   ( 11*10/ 2 + 11 * 15 * 14 / 2 ) * 2   2420   IMO option D is the correct answer..   OA please...will correct if I missed anything..2420
Answer: D
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?	Choose the correct choice from the following answers
A) 270	B) 988	C) 773	D) 562	E) 277

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer: 270
Answer: A
If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Choose one.
A) 750
B) 387
C) 237
D) 198
E) 121

Solution: Explanation:   1/2:1/3:1/4 = 6:4:3   Ram = 6/13 * 3250= 
6/13 * 3250 = 1_500
1500   Shyam= 4/13 * 3250= 
4/13 * 3250 = 1_000
1000   Mohan= 3/13 * 3250= 
3/13 * 3250 = 750
750   750nswer: 750
Answer: A
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?  Choose the correct choice from the following answers:
A) -33
B) 34
C) -45
D) -56
E) 45

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.   Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.   So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.   Solving this equation for d+ed+e gives d+e=−66d+e=−66.   Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.   Hence, the answer is -33: -33
Answer: A
A child must place 5 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choose the correct choice from the following answers:
A) 6^6 B) 6^4 C) 4^5 D) 4^4 E) 6^4-4^6

Solution: there are 4 different bins and each of the toy can go to any of these bins..   so answer 4âˆ—4âˆ—4âˆ—4âˆ—4=4^5   ANSWER:4^5
Answer: C
3 boys and 7 girls can complete John work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?  Choose the correct choice from the following answers:
A) 30 days	B) 35 days	C) 40 days	D) 50 days	E) 60 days

Solution: Work done by 4 boys and 6 girls in 1 day = 1/8   Work done by 3 boys and 7 girls in 1 day = 1/10   Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as   4m + 6w = 1/8 ---(1)   3m + 7w = 1/10 ---(2)   Solving equation (1) and (2) , we get m=11/400 and w=1/400   Amount of work 10 girls can do in John day = 10 × (1/400) = 1/40   Ie, 10 girls can complete the work in 40 days   40 days
Answer: C
If u, v, and w are consecutive integers such that u > v > w and the sum of u, v, and w is a multiple of 10, which of the following could be the value of u?	Choose the correct option: A) 0 B) 1 C) 9 D) 10 E) 12

Solution: We're given a very specific set of restrictions in this prompt:   1) U, V and W are CONSECUTIVE INTEGERS   2) U> V > W   3) U+V+W = a multiple of 10   We're asked which of the 5 answer COULD be the value of U given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until we find one that fits these restrictions..   Answer A: U = 0   In this case, the numbers would be 0, -1, and -2. The sum = -3 which is NOT a multiple of 10. Eliminate A.   Answer B: U = 1   In this case, the numbers would be 1, 0, and -1. The sum = 0 which IS a multiple of 10. B IS the answer.   Final Answer:   1
Answer: B
If x^2 + y^2 = 50, then the greatest possible value of y is between Choose the correct choice from the following choices.
A) 2 and 3 B) 4 and 5 C) 5 and 6 D) 7 and 8 E) 9 and 10

Solution: for the greatest possible value of y^2, we must minimize the value of x^2 i.e. lets say x^2 = 0   then we need to find a number y such that y^2 < 50. 7^2 = 49 and 8^2 = 64 so we can say that the maximum possible value of y can be a little more than 7 hence answer = between 7 and 8   hence 7 and 8
Answer: D
Oak trees line both sides of a street for a length of 5/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?  Pick one:
A) a)	22	B) b)	23	C) c)	38	D) d)	44	E) e)	46

Solution: There is a gap of 16 m between every 2 trees , each tree is 1 m wide.   5/8 of 1 km = 625 m   Lets assume that x trees are planted So equation is   x*1 +(x-1)*16 = 625   Solve for x and we get x = 38, answer is c)	38
Answer: C
One-sixth of the students at a nursery school are 5 years old or older. If 15 students have not yet reached their fourth birthday, and a total of 30 students are not between 4 years old and 5 years old, how many children are in the nursery school?  Choices:
A) 50  B) 55  C) 60  D) 65  E) 70

Solution: x/6 students are > 5 yrs   15 students are < 4 yrs   x/6+15 = 25   x/6 = 10   x = 60   Answer: 60
Answer: C
The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is:	Choose the correct choice from the following.
A) 230 B) 240 C) 245 D) 250 E) 275

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (100 + x)/30 = 25/2 => 2(100 + x) = 750 => x = 275 m.   Answer: Option 275
Answer: E
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? Choose the correct choice from the following choices.
A) 38 men	B) 32 men	C) 34 men	D) 30 men	E) None of these

Solution: Explanation:   There is meal for 200 children. 150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children = 120 men   So, 50 Children = 120/200 * 50= 
120/200 * 50 = 30
30 men   Option 30 men
Answer: D
Some of 15%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced?
Pick one
A) 1/5
B) 1/3
C) 1/2
D) 3/2
E) 3/5

Solution: Let total paint = 1   Let amount replaced = x   15 (1-x) + 25x = 30   x = 3/2   ANSWER:3/2
Answer: D
15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 2 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choose the correct option:
A) 30  B) 20  C) 40  D) 60  E) 90

Solution: Let 1Man does 1unit/hr of work   15M in 21 days of 8hrs will do (15*21*8) units   3W = 2M   1W=(2/3)units/hr   21W with 2hrs a day will take   (15*21*8)/(21*2*(2/3))= 
  (15*21*8)/(21*2*(2/3)) = 90
> 90 Days   ANSW90R:90
Answer: E
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 75 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?	Choose the correct choice.
A) 48	B) 30	C) 26	D) 23	E) 12

Solution: Relative speed = 45 + 75= 
45 + 75 = 120
120 km/hr.   120 * 5/18= 100/3 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 3/100= 
1000 * 3/100 = 30
30 sec.   Answer:30
Answer: B
On a certain number line, conditions are x<y<z<u<v and xyzuv>0. Which of the following must be true?
I xy>0 II zu>0 III zu>0  Choose the most appropriate option:	A) I only	B) I & II only	C) III only	D) II only	E) II and III only

Solution: Givenx<y<z<u<v and="" xyzuv="">0.   Suppose, for the product to be greater than 0, we can two variables as -ve or four variables can be -ve.   We are given : I xy>0 II yz>0 III uv>0   case 1: x and y can be negative/positive and if they are... we get greater than 0.   case 2: we have zu , then z and u both can be negative/positive and if they are... we get greater than 0.   case 2: we have uv , then z and u both can be negative/positive and if they are... we get greater than 0.   if zu both negative , then de both have to negative in order to get greater than 0. In order to xyzuv>0 , zuv can't be negative else we get -ve value, then we need to have either x or y as negative then ab can't be greater than 0.   so cde have to be positive.   xy > 0 , yz > 0 obviouly v will be positive , since we have information uv> 0 . ( Here we have relationship between cd and uv , where u is common).   Option I & II only.</y<z<u<v>
Answer: B
5^5 is equal to which of the following?	Choose the correct option.
A) 3,125
B) 8,752
C) 9,660
D) 5,662
E) 5,608

Solution: A is the correct answer. We do not really need to calculate it. The last digit for 5^5 will be 5. Hence 3,125 is the correct answer
Answer: A
Running at constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Choose the correct option:  A) 648  B) 1800  C) 2700  D) 10800  E) 10900

Solution: If 6 machines can produce 270 bottles in one minute, 10 machines can produce 270*10/6 bottles in the same time. In 4 minutes, they would produce   4*270*10/6= 
  4*270*10/6 = 1_800
1800   ANSWER:1800
Answer: B
A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number G of imported lamps stocked at the store?  Choose one.
A) 3  B) 10  C) 13  D) 20  E) 23

Solution: We want to minimize not maximize the expression,.   G=x/20+(410-x)*3/10=123+x/20-3x/10=123-5x/20 --> maximize x to minimize the expression --> x must be the greatest multiple of 20 less than 410, so 400 --> 123-5*400/20=23.   But i'm guessing 123-5x/20 can be written as 123- x/4   if x has to be the greatest multiple of 4 less then 410, then it would be 408.   Hence 123-408/4 --> 123-102 -->21   Yes, you cannot reduce in this case. If x=408, then 5/100*x and (410-x)*3/10 won't be integers.23
Answer: E
If the positive integer y is divisible by 2, 4, and 8, then which of the following must y be divisible by?
I. 8
II. 31
III. 45 Choose one.
A) III only
B) I only
C) I and II only
D) II and III only
E) I, II, and III

Solution: Answer = I only   LCM of 2, 4, 8 = 8   Answer = 8   Answer: I only
Answer: B
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas? Choose the correct choice:	A) 9 : 25	B) 6:25	C) 3:5	D) 11:25	E) 16:25

Solution: Explanation:   a13 : a23 = 27 : 125   a1 : a2 = 3 : 5   6 a12 : 6 a22   a12 : a22 = 9 : 25   9 : 25)
Answer: A
Phil’s only source of income comes from his job as a question writer. In this capacity, Phil earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Phil takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Phil wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Phil’s median annual income over the past 5 years?  Select
A) $22,474	B) $25,673	C) $27,318	D) $28,495	E) $31,227

Solution: Okay u just need less than one min to answer this question. any odd number greater than 20 means that that last digit must be 1,3,5,7, or 9. 9$ per week for every question. So (odd)(odd) will give odd digit. A and C out. (50 weeks) (200) = 10,000. subtract this amount from option B, $28,495 and E and u will find that only option $28,495 is divisible by 9 (once 10,000 is subtracted from 28495) so its the right choice..$28,495..
Answer: D
What is the lowest possible common multiple H of 2 distinct integers, each greater than 329?	Choose the correct choice from the following choices: A) 330·331 B) 330^2 C) 33·331 D) 660 E) 330

Solution: Lowest possible common multiple H of 2 distinct integers will have to be multiple of the number greater than 329...which 330..   so one number will be 330...another one will be 660..   Ans is 660.
Answer: D
A shopkeeper sold an article at $1170 and gained a 20% profit. What was the cost price?	Choose the correct choice from the following answers
A) $950
B) $975
C) $1000
D) $1025
E) $1050

Solution: Let x be the cost price.   1.2x = 1170   x = 1170/1.2= 
1170/1.2 = 975
975   The answer is $975.
Answer: B
At present the ratio between the ages of Arun and Deepak is 5:7. After 6years, Arun's age will be 36 years. What is the age of Deepak at present?	Choose the correct choice from the following choices:
A) 35years  B) 25years  C) 42years  D) 39years  E) 40years

Solution: Let the present ages of Arun and Deepak be 5x years and 7x years respectively   5x+6 = 36   5x = 30   x = 6   Deepak's age = 7x = 42years   Answer is 42years
Answer: C
Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $2952400, how many months will it take Joan to pay back her mortgage?
Pick
A) 6	B) 8	C) 10	D) 11	E) 13

Solution: Joan starts off with 100 $ .. which is to be tripled every month   Her monthly payments look like this :   100 , 300 , 900 , 2700 ......... Upto 2952400   This can be re written as :   100 x 1 , 100 x 3 , 100 x 9 , 100 x 27 ...... 100 x 29524   So we have 1 , 3 , 9 , 27 ..... 2652400 in GP   We know that a =1 , and r = 3 ( its easy to figure it out by looking at the question , but regardless of it being mentioned in the question we can still compute the value of r using the formula Tn = a3^n-1 ...)   Therefore to find the Sum of n terms of a GP we use this formula :   Sn = a (1-r^n) / 1 -r   Using this and plugging in the information we get ...   29524 = 1 - 3^n / 1-3 ; 1-3^n / -2   10ross multiplying we get   29524 x -2 = 1- 3^n   - 59048 = 1 - 3^n   - 59049 = - 3 ^n   59049 = 3 ^n (negatives cancel out)   59049 can also be re written as 3 ^ 10   Therefore ; 3 ^10 = 3 ^n   Thus n = 10 (10)
Answer: C
At a contest with 2,500 participants, 1/2 of the people are aged 10 to 12. Next year, the number of people aged 10 to 12 will increase by 1/5. After this change, what percentage of the total 2,500 people will the 10- to 12-year-olds represent?
Choose the correct option:	A) 55%	B) 60%	C) 50%	D) 45%	E) 66%

Solution: I just wanted to mention a couple of things here:   * this is a pure ratio question; the number 2,500 is completely irrelevant, and you can ignore it if you like. When we increase something by 1/5, we are multiplying it by 1 + 1/5 = 6/5, so the answer here must be (1/2)*(6/5) = 3/5 = 60 %.   Answer : 60%
Answer: B
What leat value must be assigned to * so that the number 63576*2 is divisible by 8?
Choose the correct choice
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Solution   The given number is divisible by 8, if the number 6x2 is divisible by 8.   Clearly, the least value of x is 3.   Answer 3
Answer: C
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $8.00?
Choose the correct choice from the following choices.
A) 40
B) 60
C) 96
D) 120
E) 240

Solution: 96ost price of 1 pound of bananas = 0.5/3 = 1/6   Selling price of 1 pound of bananas = 1/4   Profit per pound = (1/4 - 1/6) = (1/12)   Total profit is given as 8   (1/12)*x = 8   x = 96   Answer: 96
Answer: C
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choose the correct choice from the following answers:
A) Rs.6289	B) Rs.6298	C) Rs.6290	D) Rs.6725	E) Rs.6708

Solution: CP = SP * (100/(100 + profit%))   = 8339(100/124) = Rs.6725.   Answer: Rs.6725
Answer: D
In given series 1, 8, 27, 64, 124, 216, 343 only one number is incorrect. Find out that wrong number	Choose the correct choice from the following answers:
A) 120  B) 126  C) 127  D) 124  E) 125

Solution: The numbers are 1^3=1   2^3=8   3^3=27   4^3=64   5^3=125   etc. So, 124 is wrong   ANSWER:124
Answer: D
In the coordinate plane, points (x, 1) and (7, y) are on line k. If line k passes through the origin and has slope 1/7, then x - y =  Answers:
A) 6 B) 7 C) 5 D) 8 E) 3

Solution: Line k passes through the origin and has slope 1/7 means that its equation is y=1/7*x.   Thus: (x, 1)=(7, 1) and (7, y) = (7,1) --> x-y=7-1= 
7-1 = 6
6.   6nswer: 6
Answer: A
If the 30th january 2003 was thursday, what was the day day on 2nd march, 2003?	Choose the correct choice from the following options
A) sunday
B) thursday
C) tuesday
D) saturday
E) monday

Solution: Explanation:   30th january, 2003 was thursday.   So, 6th, 13th, 20th, 27th february were all thursdays.   thus 2nd march, 2003 was 3 days after thursday, i.e. , sunday   sundaynswer: sunday) sunday
Answer: A
When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?  Choices:
A) 12  B) 36  C) 38  D) 28  E) 11

Solution: Total number of students = 54 x 30   When arranged in rows of 45, number of rows formed are,   = 36.   Answer: 36
Answer: B
A train 250 m long, running with a speed of 50 km/hr will pass a tree in?  Options:	A) 18sec	B) 20sec	C) 25sec	D) 30sec	E) 1min

Solution: Speed = 50 * 5/18 = 125/9 m/sec   Time taken = 250 *9/125= 
250 *9/125 = 18
18 sec   18secnswer:18sec
Answer: A
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?  Pick one:
A) (54 + 6/11) past 49 B) (54 + 6/11) past 2 C) (54 + 6/11) past 7 D) (54 + 6/11) past 4 E) (54 + 6/11) past 1

Solution: 4 o'clock, the hands of the watch are 20 min. spaces apart.   To be in opposite directions, they must be 30 min. spaces apart.   Minute hand will have to gain 50 min. spaces.   55 min. spaces are gained in 60 min   50 min. spaces are gained in min. or   Required time = min. past 4.   Answer: (54 + 6/11) past 4)
Answer: D