MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/2 of the area of the field. What is the length of the field?
Select the correct option
A) 13
B) 16
C) 34
D) 43
E) 42

Solution: Explanation:   A/2 = 8 * 8 => A = 8 * 8 * 2   x * 2x = 8 * 8 * 2   x = 8 => 2x = 16   Answer: Option 16
Answer: B
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?	Pick one:
A) 299
B) 377
C) 328
D) 860
E) 453

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
Set #1 = {A, B, O, D, E}
Set #2 = {K, L, M, N, U, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?	Options.
A) 1/6
B) 1/4
C) 1/2
D) 1/3
E) 2/3

Solution: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 2/5 and set 2 is 5/6. Multiply these to get 1/3. Therefore, probability of picking at least one vowel = 1-1/3=2/3.   ANSW2/3R =2/3
Answer: E
Keats Library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 35% of the total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?	Pick: A) 45% B) 65% C) 85% D) 115% E) 125%

Solution: Let x be the number of new biographies added to the library.   Let b be the original number of biographies, so the original number of books was 5b.   0.35(5b+x) = b+x   0.75b = 0.65x   x = 1.15b   The answer is 115%.
Answer: D
A train which has 420 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?	Choose the correct choice from the following answers:
A) 56 sec
B) 42 sec
C) 36 sec
D) 29 sec.
E) 19 sec.

Solution: Time taken to cross a moving person = length of train/ relative speed   Time taken = 420/((45-9) (5/18)   = 420/ 36*(5/18)   = 420/10= 
420/10 = 42
42 sec   ANSWER:42 sec
Answer: B
Husband and wife having average age of 26 years at their marriage time. After four years they have a two year old child. The average age of the family now Choose the most appropriate option:
A) 20.66 years B) 23 years C) 28.5 years D) 29.3 years E) None of these

Solution: Explanation :   Sum of the present ages on husband, wife and child =(26x2+4x2)+2   = 62 years   Required average   = (62/3)   = 20.66 years.   20.66 yearsnswer : 20.66 years
Answer: A
Adding two non multiples of x always results in a multiple of x; which of the following must be the value of x ?
Pick
A) two	B) three	C) five	D) ten	E) hundred

Solution: Take simple numbers to understand the concept before hitting it...   Say x = 2   The non multiple can be 1 (Definitely 1 is not a multiple of 2)   Now add two multiples of 2 , ie  1 + 1= 
 1 + 1 = 2
2 ( Resulting in the number x )   [b]Thus the value of x can be 2 ad the non multiple can be 1 , satisfying the conditions stated in the question stem   ANSWER:three
Answer: B
Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choose the correct answer
A) Nothing	B) 10%	C) 1%	D) 5%	E) 15%

Solution: 10*10   -------- = 1%   100   ANSWER:1%
Answer: C
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n.
What is the remainder when m – n is divided by 6?	Pick one
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: m is 2 more than a multiple of 6;   n is 3 more than a multiple of 6.   m - n will be 1 less than a multiple of 6 (5, 11, 17, ...), therefore m - n will yield a remainder of 5 when divided by 6.   Answer: 5.
Answer: E
Two years ago, Ram put $500 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $600. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Ram's account balance increased from his initial deposit of $500 ? Choose the most appropriate option.
A) 19%
B) 28%
C) 30%
D) 32%
E) 25%

Solution: investment 500 dollars   1 st year total gained = 100   total amount end of first year = 600   second year account increased by 10 % = 600*0.1= 
600*0.1 = 60
60   therefore total amount by second year end= 660   so total percentage increase in money = (660-500)*100/500= 
(660-500)*100/500 = 32
32 %   Correct Answer 32%=32%
Answer: D
How many positive integers less than 100 are neither multiples of 2 or 3?  Choose the correct option
A) 30
B) 31
C) 32
D) 33
E) 34

Solution: 1) multiples of 2 till 100 = 100/2= 
100/2 = 50
50   2) multiples of 3 till 100= 100/3 = 33.33= 33   add the two 50+33= 
50+33 = 83
83 ;   subtract common terms that are multiple of both 2 and 3..   LCM of 2 and 3= 6   Multiples of 6 till 100 = 100/6 = 16.66 = 16   so total multiples of 2 and 3 = 83-16= 
83-16 = 67
67   100-67= 
100-67 = 33
33   Answer : 33
Answer: D
A team scored a total of 118 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?  Choose one:
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: 118/14=8 plus remainder.   The answer is 8.
Answer: C
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?  Choose the correct option:	A) 298	B) 288	C) 480	D) 28	E) 929

Solution: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.   4a = 2(l + b)   2a = l + b   l . b = 480   We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .   Answer:288
Answer: B
A certain quantity of 40% concentration solution is replaced with 20% concentration solution such that the concentration of the combined amount is 35%.
What's the ratio of the amount of solution that was replaced to the amount of solution that was not replaced? Select the correct option: A) 1:3 B) 1:2 C) 2:3 D) 2:1 E) 3:1

Solution: 20% - - - - - - - - - 35% - - - - - - 40%   From 20 to 35 =15   From 35 to 40 = 5   So the ratio is  15/5= 
 15/5 = 3
3 to 1   1:3 it is
Answer: A
There are a total of 15 students in Mr. Sam's gym class. Over the course of a badminton unit, each of the 15 students will compete exactly once against every other student in the class. How many total games of badminton will be played? Choices:
A) 105 B) 171 C) 190 D) 110 E) 161

Solution: there are 15 students , if each play with all other members .   then total games can be calculated as 14+13....+1 = 105.   alternate approach is to choose 2 distinct out of 14 = 14c2 = 105   105nswer is 105.
Answer: A
By selling 16 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 20%?  Options:	A) 8	B) 9	C) 12	D) 89	E) 81

Solution: 90% --- 16   120% --- ?     90/120 * 16= 
  90/120 * 16 = 12
12   Answer: 12
Answer: C
Mr. Jones sold two pipes at $2 each. Based on the cost, his profit one was 40% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss? Choices:
A) lost 10 cents B) lost 4 cents C) broke even D) gained 40 cents E) gained 10 cents

Solution: 40 % profit on $ 2   = $ 40/100 × 2   = $ 0.40 × 2   = $ 0.80   Similarly, 20 % loss on $ 2   = $ 20/100 × 2   = $ 0.20 ×2   = $ 0.40   Therefore, in one pipe his profit is $ 0.80 and in the other pipe his loss is $ 0.40   so profit is 40 cents..   Answer is gained 40 cents.
Answer: D
By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
Pick one:  A) 20  B) 99  C) 77  D) 63  E) 61

Solution: Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3= 
40 * 3 = 120
120x km   He covered 2/3 * 120= 
2/3 * 120 = 80
80x km in 1/3 * 3x= x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph.   20nswer: 2040 /2= 
40 /2 = 20
20 kmph.   20nswer: 20
Answer: A
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?  Answers.
A) Rs.900  B) Rs.875  C) Rs.850  D) Rs.860  E) Rs.870

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   ANSWER:Rs.860
Answer: D
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 3% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Select the correct option:
A) 22.04%  B) 16.12%  C) 12.5%  D) 18.25%  E) 10%

Solution: Per quarter, interest = 3% So for a year, interest = 12% Due to quarter cumulation, effective yield (YTM) would be slight higher than 12% Answer = 12.5% =ANSWER:12.5%
Answer: C
If 9 is a factor of 2z, then which of the following may not be an integer? Choose the correct choice
A) 6z/54 + 2z/3 B) (4z-18)/9 C) (2z+27)/9 D) (81-4z^2)/81 E) (2z-3)/3

Solution: I got the right answer A after plugging in 18 for z.   While going through Kaplan's explanation, I couldn't understand the part about choice A.   "6z/54 + 2z/3 = 3/6 * 2z/9 + 2z/3.   Since 9 is a factor of 2z, 3 is also factor of 2z. So 2z/3 is an integer, as is 2z/9. But 3/6 = 1/2, so if 2z/9 is not even, the expression 3/6 * 2z/9 will not be even."   But, isn't 2z/9 always even? 9 is a factor of 2z, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2z/9 is even.6z/54 + 2z/3
Answer: A
7, 14, 35, 56, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence? Choose the most appropriate option
A) 224	B) 259	C) 322	D) 686	E) 841

Solution: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7   clearly the answer is 841 because if we divide 841 by 4 we get a remainder of 1   Correct answer - 841
Answer: E
A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?	Choose the most appropriate option
A) 4 days	B) 6 days	C) 7 days	D) 1 days	E) 3 days

Solution: 4 days   4 days   2/5 + (2 + x)/10 = 1 => x = 4 days
Answer: A
There are how many 4-digit even numbers if the first digit cannot be a zero? Choose the most appropriate option.
A) 3,600
B) 3,645
C) 4,500
D) 4,999
E) 5,000

Solution: FIRST, lets write down the restrictions   1) these are four digit even numbers, so first digit can be 1 to 9, and the units digit can be 2,4,6,8, or 0..   2) any number of repetition can be done..   Now, lets work out a solution on these restrictions   1) units digit= any of five even digits.. 0,2,4,6,8..   2) at tens and hundreds position any of the ten digits can be placed ..   3) at thousands place, any of the 10 except 0 can be placed...   the ways= 5*10*10*9= 
5*10*10*9 = 4_500
4500   another way   1) what are the different ways without any restriction=10*10*10*10=10,000..   2) out of these ways in which first digit is 0...= 1*10*10*10=1000..   3) Remaining= 10000-1000= 
10000-1000 = 9_000
9000   4) Half of 9000 will be even and other half odd.. so even= 9000/2=4500..   Ans 4,500
Answer: C
If two painters can complete two rooms in two hours, how many hours 10 painters would it take to do 20 rooms? Choose the correct choice from the following answers.
A) 4 B) 3 C) 5 D) 8 E) 7

Solution: Explanation:   Two painters can complete two rooms in two hours.So 20 rooms can be painted in 4 hrs by 10 painters   4nswer: 4) 4 painters
Answer: A
A ball is bought for Rs.400 and sold at a gain of 35% find its selling price?	Choose the correct choice: A) A)Rs.480/- B) B)Rs.490/- C) C)Rs.500/- D) D)Rs.520/- E) E)Rs.540/-

Solution: 100 % ------> 400 (100 * 4 = 400)   135 % ------> 540 (120 * 4 = 540)   Selling price = Rs.540/-   Rs.540/-
Answer: E
Fom the integer n, if n*n*n is odd, then what is true from below options? Choices: A) n is odd and n*n is even B) n is even C) n is odd D) n*n is odd E) n*n is even

Solution: n is odd and n*n is even   Option n is odd and n*n is even
Answer: A
At the beginning of 2007, Atlantis Investing had 7000 Stocks and 5000 Dividends. At the end of 2007, Atlantis Investing had 9500 Stocks and 8000 Dividends. By approximately what percent did the ratio of Stocks to Dividends decrease from the beginning to end of the year	Choose the correct choice.
A) 0.6%
B) 3.2%
C) 7.8%
D) 15.2%
E) 30.4%

Solution: Beginning: stocks/dividend = 7000/5000 =560/400   Ending: stocks/dividend = 9500/8000 =475/400   ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.   So, our ratio went from 560/400 to 475/400   Ignoring the denominators, we went from 560 to 475   The percent change = 100(difference in values)/(original value)   = (100)(560-475)/560   = (100)(85)/560)   = (100)(0.152)   ≈ 15.2...   Answer: 15.2%
Answer: D
The difference of two numbers is 1465. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?  Pick one.
A) A)270 B) B)280 C) C)290 D) D)300 E) E)310

Solution: Let the smaller number be x. Then larger number = (x + 1465).   x + 1465 = 6x + 15   5x = 1450   x = 290   Smaller number = 290.   290)
Answer: C
A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 360-meter long platform?	Choose the most appropriate option:
A) 44
B) 46
C) 48
D) 50
E) 52

Solution: Let the length of the train be x meters.   When a train crosses an electric pole, the distance covered is its own length x.   speed = 36 km/h = 36000 m / 3600 s = 10 m/s   x = 14 * 10= 
14 * 10 = 140
140 m.   The time taken to pass the platform= (140 +360)/ 10= 
(140 +360)/ 10 = 50
50 seconds   The answer is 50.
Answer: D
In what time will a train 350 m long cross an electric pole, it its speed be 144 km/hr? Choose the correct choice from the following answers
A) 2.5 sec
B) 2.95 sec
C) 1.3 sec
D) 8.75 sec
E) 1.85 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40   = 8.75 sec.   Answer:8.75 sec
Answer: D
In a certain growth fund, 3/5 of the investment capital is invested in stocks, and of that portion, 1/3 is invested in preferred stocks. If the mutual fund has $841,000 invested in preferred stocks, what is the total amount of money invested in the fund?  Pick one
A) $1,974,000 B) $2,538,000 C) $3,264,000 D) $3,826,000 E) $4,205,000

Solution: Portion invested in preferred stock = 3/5 * 1/3 = 1/5   1/5 of fund = 841---   Fund = 5 * 841---   Here, we can avoid the math and simply look at 5 * 1 -> 5. Only option E has 5 in it.   Answer ($4,205,000).
Answer: E
What is the probability of getting a sum 9 from two throws of a dice?  Choose the correct choice from the following options:
A) 1/9 B) 3/8 C) 1/18 D) 2/15 E) 6/10

Solution: Two throws of a die = (6*6)= 
(6*6) = 36
36   Event of sum= ((3,6),(4,5),(5,4),(6,3))   P= 4/36 ==> 1/9   1/9NSWER 1/9
Answer: A
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2400?
Choose the correct choice from the following choices:
A) s.800 B) s.810 C) s.820 D) s.900 E) s.920

Solution: 2400 * 1/3= 
2400 * 1/3 = 800
800   Option s.800
Answer: A
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 15 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? Choose one:
A) $130.00 B) $145.60 C) $154.70 D) $182.00 E) $210.00

Solution: Since the question is essentially just about multiplication, you can do the various mathstepsin a variety of ways (depending on whichever method you find easiest).   We're told that the first discount is 10% to 30%, inclusive. We're told that the next discount is 20% off of the DISCOUNTED price....   We're told to MAXIMIZE the discount (thus, 30% off the original price and then 20% off of the discounted price). Thatmathcan be written in a number of different ways (fractions, decimals, etc.):   30% off = (1 - .3) = (1 - 30/100) = (.7) and the same can be done with the 20% additional discount...   The final price of an item that originally cost $260 would be.....   ($260)(.7)(.85) =   ($260)(.595)=154.7   Final Answer:   $154.70
Answer: C
On dividing 95 by a number, the quotient is 6 and the remainder is 5. Find the divisor.  Choose the correct choice from the following:
A) 14
B) 15
C) 16
D) 17
E) 18

Solution: d = (D-R)/Q   = (95 - 5)/6   = 90/6= 
90/6 = 15
15   15
Answer: B
A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?	Select
A) 400  B) 197  C) 278  D) 270  E) 279

Solution: 2000 ---- 50   2000 ---- 40   x ----- 50   x*50 = 2000*40   x=1600   2000   -------   400   400nswer: 400
Answer: A
The sum of first 45 natural numbers is:	Pick one.
A) 1035 B) 1040 C) 1042 D) 1045 E) 1050

Solution: Let Sn =(1 + 2 + 3 + ... + 45). This is an A.P. in which a =1, d =1, n = 45.   Sn = n [2a + (n - 1)d] = 45 x [2 x 1 + (45 - 1) x 1] = 45 x 46 = (45 x 23)   2 2 2   = 45 x (20 + 3)   = 45 x 20 + 45 x 3   = 900 + 135= 
900 + 135 = 1_035
1035.   Shorcut Method:   Sn= n(n + 1) = 45(45 + 1) = 1035.   2 2   1035
Answer: A
How many positive integers less than 243 are multiple of 4 but NOT multiples of 6? Choose the correct choice from the following choices:  A) 20  B) 31  C) 42  D) 40  E) 64

Solution: 240/4= 
240/4 = 60
60   Multiples of 4 which are a multiple of 6 will be of the form 2*2*3= 
2*2*3 = 12
12n where n>0   240/12= 
240/12 = 20
20   60-20= 
60-20 = 40
40   Answer: 40
Answer: D
A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 13 unsaleable mangoes in the crate then how msny mango are there in the crate?  Choose the correct choice from the following choices
A) 100 mangoes
B) 110 mangoes
C) 120 mangoes
D) 130 mangoes
E) 125 mangoes

Solution: 130 mangoes   ANSWER:130 mangoes
Answer: D
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of Choose the correct choice from the following options
A) 20% B) 19% C) 18% D) 11% E) 10%

Solution: Say the original price of the TV was $p, then the final price would be (0.9p)∗0.9=0.81p. Therefore the original price was discounted by 19%.   Answer: 19%.
Answer: B
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
Select the correct option
A) 2/7 B) 3/8 C) 3/10 D) 4/11 E) 5/13

Solution: Here, S = [1, 2, 3, 4, …., 19, 20]   Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]   P (E) = n (E) / n (S) = 6 / 20 = 3/10   3/10
Answer: C
For which of the following values of s is (50+s)/s an integer?  Pick:
A) 3	B) 4	C) 9	D) 11	E) 50

Solution: For this entity to be an integer, 50 + s should be divisible by s   Option A: 53/3 - Not an Integer   Option B: 54/4 - Not an Integer   Option C: 59/9 - Not an integer   Option D: 61/11 - Not an integer   Option 50 - 100/50 - Integer   Correct Option: 50
Answer: E
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Options:
A) Rs.9680
B) Rs.9860
C) Rs.9380
D) Rs.9800
E) None of these

Solution: Explanation:   (8000*3*2)/100= 
(8000*3*2)/100 = 480
480   9200   --------   9680   Rs.9680NSWER IS Rs.9680
Answer: A
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?  Answers.
A) 8% B) 15% C) 45% D) 52% E) 56%

Solution: First $20 million: royalties/sales ratio = 3/20 = 36/240   Next $108 million: royalties/sales ratio = 9/108 = 1/12 = 20/240   Answer: 45%
Answer: C
In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least two of each type of coin must be included?	Choose the most appropriate option:
A) 0 B) 6 C) 8 D) 10 E) 15

Solution: I. Case I = Four Quarters = this is impossible, because if we already have a dollar in quarters, then we cannot have any other coins. We cannot have all four coins represented if we have four quarters.   Case I does not allow any ways.   II. Case II = Three Quarters (75 cents)   This does not allow for two each of the other coins.   Case II does not allow any ways.   III. Case III = Two Quarters (50 cents)   This allows for 2-3 dimes.   Subcase 1 = 2 Q, 3 D (80 cents)   (2 ways) we could have 2-3 nickels   Subcase 2 = 2 Q, 2 D (70 cents)   (4 ways) we could have 2-5 nickels   Case III allows for a total of 6 ways   There's no other case, because we have to have at least two quarters and two dimes. The total over the cases equals   Total = 0 + 0+ 6= 
0 + 0+ 6 = 6
6 ways.   OA=(6)
Answer: B
What is the remainder when 570 is divided by 6?	Answers
A) 1	B) 2	C) 3	D) 4	E) 45

Solution: Explanation:   52 = 25, on division by 6, the remainder is 1.   53 = 125, on division by 6, the remainder is 5.   54 = 625, on division by 6, the remainder is 1.   55 = 3125, on division by 6, the remainder is 5.   Hence, for 5 (2x) on division by 6, the remainder is 1, and for 5(2x-1) on division by 6, the remainder is 5.   Therefore, for 570, on division by 6, the remainder is 1.   1NSWER:1
Answer: A
If the Valentine's Day in 2005 falls on Monday, then on which day will the Valentine's Day fall on 2010? Choose the correct choice
A) Monday  B) Tuesday  C) SUNDAY  D) Wednesday  E) Friday

Solution: each year have 365 days so 365/7 =1 remainder means there is one odd day in a year.... suppose there is sunday on 1 jan 2009 then on 1st jan 2010 there must be MONDAY...   on14 feb 2005 there was Monday   on14 feb 2006 there was Tuesday   on14 feb 2007 there was Wednesday   on14 feb 2008 there was Friday because this was leap year which contain2 odd days.   on14 feb 2009 there was Saturday   on14 feb 2010 there was SUNDAY.   ANSWER:SUNDAY
Answer: C
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?  Select the correct option: A) 277 m B) 166 m C) 175 m D) 677 m E) 776 m

Solution: RS = 40 – 22 = 18 * 5/18= 
18 * 5/18 = 5
5 mps   T= 60 sec   D = 5 * 60= 
5 * 60 = 300
300 m   125   --------   175 m   Answer:175 m
Answer: C