MU-NLPC/Calc-aqua_rat huggingface dataset:
A bakery currently has 4 pies and 7 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
Pick:  A) 1/5  B) 2/7  C) 3/7  D) 1/11  E) 2/11

Solution: The total number of ways to choose 5 from 11 is 11C5 = 462.   The number of ways that include 3 pies is 4C3*7C2 = 4*21= 
4*21 = 84
84   P(exactly 3 pies)= 84/462 = 2/11   The answer is 2/11.
Answer: E
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is  Choose the correct answer
A) 4 : 5	B) 5 : 4	C) 3 : 2	D) 4 :7	E) None

Solution: Let the third number be x.   Then, first number = 120% of x = 120x = 6x   100 5   Second number = 150% of x = 150x = 3x   100 2   Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5.   5 2   4 : 5
Answer: A
Find the average of all the numbers between 11 and 36 which are divisible by 5.	Choose the correct choice
A) 25	B) 77	C) 20	D) 28	E) 10

Solution: Explanation:   25verage = (15 + 20 + 25 + 30 + 35) / 5 = 125/5= 
125/5 = 25
25   25NSWER: 25
Answer: A
How many positive integers less than 100 have a remainder of 4 when divided by 13?  Choose the correct choice from the following answers:
A) 6  B) 7  C) 4  D) 9  E) 10

Solution: We have to include 4 also.As 13*0 + 4 =2   If somebody says to divide 4 by 13 ,we will be telling we have 0 quotient and remainder as 4.   Answer is 4
Answer: C
Robin 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 COKE. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
Choose the correct choice from the following
A) rye − wheat − wheat
B) wheat − wheat − white
C) white − rye − wheat
D) white − white − white
E) COKE- WHEAT-WHEAT

Solution: Q is nothing BUT asking about remainder..   total morsels thrown before the pattern is repeated = 2+3+1 = 6..   so REMAINDER when 2000 is div by 6..   1998 is EVEN and also div by 3, so remainder is 2..   Last 3 of morsels are 1998-1999-2000   so he uses the last of morsel of pattern in 1998 two of the first morsels of the pattern in 1999 and 2000, and the pattern is w, w, W, W, W, C..   ans C-w-w   COKE- WHEAT-WHEAT
Answer: E
If x and y are integers and |x - y| = 10, what is the minimum possible value of xy?  Choices.
A) -9 B) -18 C) -24 D) -25 E) -48

Solution: Sometimes the answer choices to a given question provide a big 'hint' as to how you can go about solving it. This prompt can also be solved without any complex math ideas - you just need to do a bit of 'brute force' math and you'll have the answer relatively quickly.   We're told that X and Y are INTEGERS and |X - Y| = 10. We're asked for the MINIMUM possible value of (X)(Y).   Since all of the answer choices are NEGATIVE, this tells us that ONE of the two variables MUST be negative (and the other must be positive), so we should restrict our work to those options.   IF...   X = 9, Y = -1, then XY = -9   X = 8, Y = -2, then XY = -16   X = 7, Y = -3, then XY = -21   X = 6, Y = -4, then XY = -24   X = 5, Y = -5, then XY = -25   X = 4, Y = -6, then XY = -24   X = 3, Y = -7, then XY = -21   From this, we can conclude the XY will start to get bigger as X continues to decrease down to 1, so there's no need to do any additional work.   Final Answer:   -25
Answer: D
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?	Choose the correct option.
A) Rs.6620
B) Rs.1258
C) Rs.3556
D) Rs.974
E) Rs.456

Solution: Rs.6620 = 20000(11/10)3   = 26620   26620-20000=Rs.6620   Rs.6620nswer:Rs.6620
Answer: A
In triangle XYZ, side XY, which runs perpendicular to side YZ, measures 24 inches in length. If the longest side of the the triangle is 26 inches, what is the area, in square inches, of triangle XYZ?	Options
A) 100 B) 120 C) 140 D) 150 E) 165

Solution: Okay we know we have a right triangle with hypotenuse 26.   Using Pythagoras theory I think: 24^2 + x^2 = 26^2   so 576 + x^2 = 676 ---> x^2 = 100 ---> x= 10   Areal of triangle = base* height / 2 so  24*10/2= 
 24*10/2 = 120
120   So answer choice 120
Answer: B
The length of minute hand of a clock is 5.5 cm. What is the area covered by this in 10 minutes Select
A) 15.27 B) 16.27 C) 17.27 D) 19.27 E) 15.83

Solution: area of circle is pi*r^2   but in 10 minutes area covered is  (10/60)*360= 
 (10/60)*360 = 60
60 degree   so formula is pi*r^2*(angle/360)=3.14*(5.5^2)*(60/360)=15.83 cm^2   ANSW15.83R:15.83
Answer: E
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 700 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?	Choices:
A) 2160	B) 2350	C) 2000	D) 2300	E) 1800

Solution: Explanation :   Total Exp = 5000+1500+4500+2500+2000+700= 
5000+1500+4500+2500+2000+700 = 16_200
16200   Exp in %= 100-10= 
100-10 = 90
90%, 16200= 90%   Saving = 10 % = 16200 X 10/90 = Rs. 1800   Answer : 1800
Answer: E
What is the least number which when divided by 6, 9, 12 and 18 leaves remainder 4 in each care?	Choose the correct choice from the following
A) 30
B) 40
C) 36
D) 56
E) 66

Solution: Explanation:   LCM of 6, 9, 12 and 18 is 36   Required number = 36 + 4= 
36 + 4 = 40
40   Answer: Option 40
Answer: B
A boy wants to go abroad by boat and return by flight. He has a choice of 7 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?  Choose the correct choice from the following answers.
A) 20	B) 25	C) 30	D) 35	E) 50

Solution: Ans.(D)   Sol. Number of choices to go by ship = 7 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 7 x 5 = 35 ways
Answer: D
In a batch of 125 students, there are 12 books related with different subjects to be distributed. If the total number of books bought during the time of distribution were 1511, how many extra books will be lying with the distributor?  Pick one:
A) 10  B) 11  C) 2  D) 5  E) 3

Solution: 125x12=1500 is the total number of books required to be distributed. As the number of books actually bought during the time of distribution 1511, 11 extra books were purchased. Answer: 11
Answer: B
A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 4 and 6 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?	Choose the correct choice
A) Per month, with savings of $(3a + 3b)  B) Per month, with savings of $(3a - 3b)  C) The two options would cost an equal amount.  D) Per project, with savings of $(3a + 3b)  E) Per project, with savings of $(3a - 3b)

Solution: Per Project, company will pay as follows:   For 4 hours work = a+3b   For 6 hours work = a+5b   Total = 2a+8b   Per Month, company will pay for 10 hours work = a+9b   Total per contract - total per month   4a+6b - (a+9b)   3a-3b   Since a>b Amount 4a+6b(per contract amount) > a+9b (per project amount) by 3a-3b.   Hence per month payment will be cheaper by 3a-3b .   OA Per month, with savings of $(3a - 3b)
Answer: B
In Prasanna's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Prasanna and he thinks that Prasanna's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Prasanna?  Choices:
A) 67 kg
B) 68 kg
C) 66.5 kg
D) 69 kg
E) NOne

Solution: Sol.   Let Prasanna's weight be X kg.   According to Prasanna, 65 < X < 72.   According to Prasanna's brother, 60 < X < 70.   According to Prasanna's mother, X < 68.   The value satisfying all the above conditions are 66 and 67.   ∴ Required average = [ 66 + 67 / 2 ] = [133 / 2= 
133 / 2 = 133/2 = around 66.5
66.5 kg.   Answer 66.5 kg
Answer: C
In a mixture of 45 litres, the ratio of acid to base is 4 : 1. How much base must be added to make the mixture ratio 3 :2?	Pick:
A) 72 lts  B) 24 lts  C) 15 lts  D) 1.5 lts  E) 2.5 lts

Solution: Base = 9 litres   Acid = 9 lts   To make the ratio of acid : base as   3 : 2,   15 litres of base must be added.   ANSWER:15 lts
Answer: C
A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%.  Choose the correct choice from the following answers:
A) Rs 25300 B) Rs 22300 C) Rs 24300 D) Rs 21300 E) None of above

Solution: Explanation:   This type of question can be easily and quickly solved as following:   Let at Rs x it can earn 15% pr0fit   85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]   x = (18700*115)/85   = Rs.25300   Option Rs 25300
Answer: A
Six friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount? Choose the correct choice from the following answers.
A) 11%	B) 14%	C) 20%	D) 22%	E) 26%

Solution: Let x be the original price of one ticket.   The total original cost is 6x.   The new cost is 7y, where y is the discounted price of one ticket.   6x = 7y   y = 6x/7 which is about 0.86x which is a discount of about 14%.   The answer is 14%.
Answer: B
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?  Select:
A) 12 min	B) 15 min	C) 25 min	D) 50 min	E) 20 min

Solution: Part filled by A in 1 min. = 1/20   Part filled by B in 1 min. = 1/30   part filled by (A + B) in 1 min. = 1/20 + 1/30 = 1/12.   Both the pipes can fill the tank in 12 minutes.   12 minNSWER:12 min
Answer: A
A retailer bought a hat at wholesale and marked it up 60% to its initial price of $24. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choose the correct choice from the following
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Let x be the wholesale price.   Then 1.6x= 24 and x = 24/1.6= 
24/1.6 = 15
15.   To achieve a 100% markup, the price needs to be $30.   The retailer needs to increase the price by $6 more.   The answer is 6.
Answer: D
Compare the rates of two trains, one travelling at 45 km/hr and other is at 10m/s?	Select.
A) 5:4
B) 3:2
C) 1:5
D) 2:7
E) 3:5

Solution: speed of the 1st train = 45km/hr   speed of the 2nd train = 10m/s = 10*18/5= 
10*18/5 = 36
36km/hr   ratio of the speeds of the train= 45:36 = 5:4   5:4nswer is 5:4
Answer: A
If P, x, y, and z are positive integers and (x)×(y)×(z)=P^2, which of the following could be the values of x, y, and z?	Pick: A) 3, 16, 25 B) 9, 25, 24 C) 2, 49, 32 D) 2, 9, 16 E) 8, 16, 36

Solution: This is one of those questions where using the given options is fastest way to get the solution. We need to find a set where 3 numbers can be paired into 2 pairs of some numbers because we need a product which is a square number.   C fits the bill. 2*49*32 = 2*7*7*8*4 = 7*7*8*8   Ans 2, 49, 32
Answer: C
A train is running between Patna to Howrah.Seven people enter the train somewhere between Patna and Howrah.It is given that nine stops are there between patna and howrah.In how many ways can the tickets be purchased if no restriction is there with respect to the number of tickets at any station?(2 people donot buy the same ticket)  Choose the correct choice from the following
A) 45c7 ways
B) 45c6 ways
C) 44c7 ways
D) 46c7 ways
E) 45c8 ways

Solution: P _ _ _ _ _ _ _ _ _ H   P 1 2 3 4 5 6 7 8 9 H   If those people enter in the 1st station, the no. of ways they can buy tickets: 9 ways   If those people enter in the 2nd station, the no. of ways they can buy tickets: 8 ways   .   .   If those people enter in the 9th station, the no. of ways they can buy tickets: 1 way   Now total no. of ways to buy tickets are:   9+8+7+6+5+4+3+2+1= 
  9+8+7+6+5+4+3+2+1 = 45
45   So, the tickets can be purchased by 7 people is 45c7 ways   45c7 waysNSWER:45c7 ways
Answer: A
How many positive integers between 5 and 5000(both are inclusive) are there such that they are multiples of 5?
Choose the correct choice from the following:
A) 1500  B) 1000  C) 999  D) 1001  E) 1005

Solution: Multiples of 5 = 5,10,15-----,5000   Number of multiples of 5 => 5000-5/5+1= 1000   Answer is 1000
Answer: B
f n = 3^2 - 2^2, which of the following is NOT a factor of n?	Choices:	A) 5	B) 10	C) 4	D) 15	E) 20

Solution: 9-4= 
9-4 = 5
5 is prime no. any number not multiply with five is not a factor   4
Answer: C
If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 150% of j ? Select the correct option.
A) 0.35
B) 466
C) 35
D) 350
E) 3500

Solution: IMO answer should be 350...   consider j=10, then k=50, l=150 and m=350....   20% of 350, comes out to be 70....   150% of 10 is 15....   (70*100)/15=466.66....   Ans : 466
Answer: B
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?	Choose one:
A) 32 km B) 25 km C) 28 km D) 24 km E) None of these

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 4.5   => x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.   ANSWNone of theseR:None of these
Answer: E
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:	Choose the correct choice from the following answers.
A) Rs. 8,400 .
B) Rs.10,000
C) Rs. 11,980
D) Rs. 13,600
E) Rs.14,700

Solution: 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. 35000x (21/50)= Rs. 14,700.   answer :Rs.14,700
Answer: E
Which of the following equations has a root in common with x^2−4x+3=0 ? Choose the correct choice from the following choices.
A) x^2-4x-4=0  B) x^2-2x+1=0  C) x^2-x-1=0  D) x^2-10x-1=0  E) x^2+1=0

Solution: If we carefully look at the given equation we can arrange it in the following manner:   (x-1)(x-3) = 0   so the two roots are 1 and 3.   Now put 1 and 3 in given equations. The equation in which one of them gives value 0, that will be our answer.   (A) putting 1: we get -7; Putting 3 we get -7. Reject this option.   (B) putting 1: we get 0. This is the equation.   We are lucky. No need to check other options.   x^2-2x+1=0 is the answer.
Answer: B
2 cyclist begin training at same time A complete each lap in 4 sec B in 6 minutes how many minutes after start will both cyclist pass at exactly same spot when they begin to cycle  Choose the correct choice
A) 160 seconds  B) 260 seconds  C) 360 seconds  D) 460 seconds  E) 560 seconds

Solution: 6 minutes= 360 sec   lcm of 4, 360 is 360   so they meet after 360 seconds   ANSWER:360 seconds
Answer: C
The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 208, how many such sequences can be formed?
Choose the correct choice from the following options:	A) 26	B) 17	C) 25	D) 33	E) 50

Solution: Four consecutive odd numbers: k-2, k, k+2, k+4   Three consecutive even numbers: n-2, n, n+2   k-2+k+k+2+k+4=n-2+n+n+2   4k+4=3n   4(k+1)=3n   k+1=(3/4)n   k=(3/4)n-1   All n's that's divisible by 4 will have an integral k. So, we need to find out how many such n's are available within given range:   We know,   101<n<208   104<=n<=204   Count=(204-104)/4+1=100/4+1=25+1= 
25+1 = 26
26   26ns: 26.
Answer: A
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,74,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Select
A) 0.20833	B) 0.14544	C) 0.25632	D) 0.2139	E) 0.63435

Solution: Total land of Sukhiya = \inline \frac{480x}{0.6} = 800x   \therefore Cultivated land of village = 374000x   \therefore Required percentage = \inline \frac{800x}{374000}\times 100 = 0.21390   0.2139
Answer: D
A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 80 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk?	Choose the correct choice from the following answers.
A) 20
B) 30
C) 48
D) 60
E) 72

Solution: Total distance = 80   Distance = Speed * Time   Walking speed = s1 = 8   Walking time = t1   Bike speed = s2 = 16   Time traveled in bike = t2   d1 + d2 = 80   s1t1 + s2t2 = 80   8*t1 + 16*t2 = 80   t1 + 2*t2 = 10 ----- (1)   Given: t1 + t2 = 8 ----- (2)   (1) - (2) --> t2 = 2 and t1 = 8 - 2= 
8 - 2 = 6
6   Walking distance= s1*t1 = 8*6= 
8*6 = 48
48   Answer: 48
Answer: C
Calculate 24 x 99
Choose the correct choice.
A) 2976	B) 2467	C) 2476	D) 4276	E) 2376

Solution: = 24-1= 
24-1 = 23
23= (Decrement each digit of the number obtained from 9) Here we got 23. Now   = 9-2= 
9-2 = 7
7 and   9-3= 
  9-3 = 6
6. So we have 76   Just write these numbers together.   That is we have 23 and 76.   Hence answer is 2376   Answer is 2376.
Answer: E
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 4 more than the average expenditure of all the nine. The total money spent by all of them was  Choose one
A) 31.5 B) 40 C) 29.25 D) 27 E) None of the above

Solution: Let the average expenditure of all the ninte be x   Then, 3 × 8 + x + 4 = 9x   ⇒ x = 3.5   ∴ Total money spent = 9x = 9 × 3.5 = 31.5   31.5nswer 31.5
Answer: A
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $6,500, what is the bonds face value?
Choose the correct answer:	A) $5,200	B) $6,750	C) $7,425	D) $7,500	E) $9,375

Solution: Interest = 0.05*face value = 0.04*6,500 --> face value = 0.04*6,500/0.05 = 5,200.   $5,200nswer: $5,200.
Answer: A
Aaron had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him? Options:  A) 2000  B) 3000  C) 4000  D) 1000  E) 5000

Solution: Let the money he took for shopping be m.   Money he spent = 30 % of m   = 30/100 × m   = 3/10 m   Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10   But money left with him = $ 2100   Therefore 7m/10 = $ 2100   m = $ 2100× 10/7   m = $ 21000/7= 
21000/7 = 3_000
$ 3000   Therefore, the money he took for shopping is $ 3000.   Answer:3000
Answer: B
A vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder. The next day, the vendor sells 80 percent of the remaining pears and throws away the rest. In total, what percent of his pears does the vendor throw away? Pick:  A) 6  B) 8  C) 10  D) 12  E) 14

Solution: Let x be the original number of pears.   On day one, the vendor throws away (0.5)(0.2)x=0.1x.   The remaining pears are (0.5)(0.2)x = 0.1x.   On day two, the vendor throws away (0.2)(0.1)x=0.02x.   The vendor throws away a total of 0.1x + 0.02x = 0.12x.   The vendor throws away 12 percent of the pears.   The answer is 12. 0.1  + 0.02= 
 0.1  + 0.02 = 0.12
0.12x.   The vendor throws away 12 percent of the pears.   The answer is 12.
Answer: D
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have? Choose the correct choice from the following options: A) $22 B) $24 C) $30 D) $36 E) $40

Solution: B its is.   Let price = X   (x-1)8 = 6X   X= 4   hence total money = 6*4= 
6*4 = 24
24
Answer: B
A survey was sent to 90 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?	Answers:
A) 2% B) 6% C) 14% D) 28% E) 63%

Solution: case 1: (7/90)=x/100   x=8%   case 2: (9/63)=y/100   y=14%   So percent increase is =(y-x)=(14-8)= 
(14-8) = 6
6%   Answer is 6%
Answer: B
Population of a city in 20004 was 1500000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007	Choose the correct choice
A) 354354 B) 545454 C) 465785 D) 456573 E) 3251625/2

Solution: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)   = P (1 + 15/100)(1 - 35/100)(1 + 45/100)   = 3251625/2   3251625/2
Answer: E
Four points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points? Select the correct option:
A) 3  B) 5  C) 6  D) 15  E) 20

Solution: Number of triangles can be formed out of 6 points= 4C3=4   Number of quadrilaterals can be formed out of 6 points= 4C4=1   4-1= 
4-1 = 3
3.   3nswer=3
Answer: A
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Choose the correct choice:
A) 288	B) 468	C) 877	D) 278	E) 178

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 18 + 21= 
18 + 21 = 39
39   T= 12   D = 39 * 12= 
39 * 12 = 468
468   Answer: 468
Answer: B
In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:	Choose one
A) 18
B) 19
C) 17
D) 16
E) 15

Solution: Explanation :   Let there were x teams participating in the games, then total number of matches:   =>nC2.   =153   On solving, we get n=−17 and n=18.   It cannot be negative so n=18.   18nswer : 18
Answer: A
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 6095, what is the length of the plot in metres?  Choose the correct answer:  A) 333  B) 200  C) 230  D) 276  E) 1999

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 6095   [4L - 40] = 6095 / 26.50= 
6095 / 26.50 = 230
230   4L= 270   L = 270/4= 
270/4 = 135/2 = around 67.5
67.5 meters.   Answer: 230
Answer: C
John's grade was 80th percentile of the 100 grades for his class. Of the 60 grades from another class, 20 were higher than John's, and the rest were lower. If no other grade was the same as John's grade, then John's grade was what percentile of the grades of the two classes of two classes combined?
Choose the correct choice:
A) 72nd
B) 75th
C) 83rd
D) 85th
E) 94th

Solution: 72nd/75th/83rd/85th/94th   Correct option: 75th
Answer: B
The total of the ages of Mahesh, Suresh, Ramesh is 111years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh? Choose the correct choice from the following answers
A) 32years  B) 46years  C) 42years  D) 35years  E) 30years

Solution: Let ages of Mahesh, Suresh, Ramesh 10years ago be 2x,3x,4x   2x+10 + 3x+10 +4x+10 = 111   x = 9   Ramesh present age = 4*9+10= 
4*9+10 = 46
46 years   Answer is 46years
Answer: B
Ajay can walk 6km in 1 hour. In how many hours he can walk 70km?  Options:  A) 5hrs  B) 11.6hrs  C) 15.6hrs  D) 20.1hrs  E) 30hrs

Solution: 1 hour he walk 6km   he walk 70km in = 70/6 * 1 = 11.6hours   Answer is 11.6hrs
Answer: B