MU-NLPC/Calc-aqua_rat huggingface dataset:
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Choose one:
A) 70 m	B) 60 m	C) 80 m	D) 90 m	E) 100 m

Solution: Let breadth = x metres.   Then, length = (x + 20) metres.   Perimeter = 5300 m = 200 m.   26.50   2[(x + 20) + x] = 200   2x + 20 = 100   2x = 80   x = 40.   Hence, length = x + 20 = 60 m   60 m
Answer: B
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 21 years(the child was born during the interval). What is the present age of the child?
Answers: A) 7 years B) 9 years C) 6 years D) 4 years E) 5 years

Solution: 28 * 2= 
28 * 2 = 56
56   21 * 3= 
21 * 3 = 63
63   -----------   7 years   7 yearsnswer: 7 years
Answer: A
If w,x,y,z are consecutive positive integers ; then which of the following is always odd?
[1] w*x+(y+2)^2*z
[2] w^x + z^y
[3] 6z^2	Choose the most appropriate option
A) 1  B) 2  C) 3  D) 2  E) 1 and 3

Solution: Plug in some numbers   w = 1   x = 2   y = 3   z = 4   Check the options -   [1] w*x+(y+2)^2*z = 1*2 + (3+2)^2 * 4 => 2 + 25*4= 
2 + 25*4 = 102
102{ Not an odd Number }   [2] w^x + z^y= 1^2 + 4^3 => 1 + 64= 
1 + 64 = 65
65{ Odd number }   [3] 6z^2= 6* 4^2 even   [2]   2
Answer: D
2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter. Find the length of the wire in meters.  Choose the correct choice from the following options:
A) 110  B) 111  C) 113  D) 112  E) None of them

Solution: Let the length of the wire be h meters. Then,   ∏ (0.50/(2 x 100))^2 x h = 2.2/1000   =h = ( (2.2/1000) x (100 x 100)/(0.25 x 0.25) x (7/22) ) = 112 m.   Answer is 112.
Answer: D
A and B start a business jointly. A invests Rs.18000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?  Choose the correct choice from the following answers
A) A)Rs.12829
B) B)Rs.14400
C) C)Rs.12293
D) D)Rs.12804
E) E)Rs.12830

Solution: 18*8: x*4 = 5:2   x = 14.4 =>   Rs.14400   Answer: Rs.14400
Answer: B
Rajat, Vikas and Abhishek are submitting questions in the ratio 7:3:2. If total number of questions submitted by them is 24. Find the number of questions submitted by Vikas. Pick one
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: Explanation :   Number of questions submitted by Vikas   = (24 * 3)/(7+3+2)= 
(24 * 3)/(7+3+2) = 6
6   Answer : 6
Answer: D
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 6 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 3 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P?
Choose the correct choice from the following answers.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: The distance traveled by Ferry P is 18 km.   Then the distance traveled by Ferry Q is 54 km. Ferry Q travels at a speed of 9 kph. The time of the journey for Ferry Q is  54/9= 
 54/9 = 6
6 hours, which is 3 hours more than Ferry P. The answer is 3.
Answer: C
In a class, candies were distributed among the children. Each child got candies equal to one-eighth of the total number of children in the class. If the number of children were half of the present number of children, then each child would have received 16 candies in total. Find the total number of candies distributed.
Pick
A) 450	B) 598	C) 512	D) 658	E) 544

Solution: Suppose the total number of children in the class be X. Then,   (X)*(1/8*X)=(X/2)*16   => X=64   =>Total number of candies = (1/8)*X*X =(1/8)*64*64= 
(1/8)*64*64 = 512
512   Option 512
Answer: C
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Select.
A) 187 sq.cm	B) 877 sq.cm	C) 279 sq.cm	D) 279 sq.cm	E) 600 sq.cm

Solution: Consider the rhombus ABCD. Let the diagonals intersect at E. Since diagonals bisect at right angles in a rhombus.   BE2 + AE2 = AB2   252 = 152 + AE2 AE   = √(625 - 225)= 
(625 - 225) = 400
√400= 20,   AC = 20 + 20= 
20 + 20 = 40
40 cm.   Area of a rhombus= 1/2 * d1d2   = 1/2 * 40 * 30= 
1/2 * 40 * 30 = 600
600 sq.cm.   Answer: 600 sq.cm
Answer: E
In what ratio must tea at Rs.62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?  Choose the correct answer.
A) 3:1
B) 2:1
C) 5:2
D) 3:2
E) 3:4

Solution: Mean price = (72-64.5 = 7.5) (64.5-62=2.5)   req ratio = 7.5:2.5 = 3:1   3:1NSWER 3:1
Answer: A
What is the average (arithmetic mean) of all the multiples of ten from 10 to 180 inclusive?	Pick one:
A) 90  B) 95  C) 100  D) 105  E) 110

Solution: 10 and 190 inclusive would mean there are 19 terms.   No need to add up all the terms and further divide by 19 since the terms are evenly spaced in ascending order from 10, 20, 30........180   The middle term is the average which is the tenth term = 90   90 is the answer.
Answer: A
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?	Select the correct option:	A) 219	B) 246	C) 252	D) 262	E) 270

Solution: Number of newborns that can die in first month = 1/10 * 300= 
1/10 * 300 = 30
30   Survived= 270   Number of newborns that can die in second month = 1/10 * 270= 
1/10 * 270 = 27
27   Survived= 243   Number of newborns that can die in third month = 1/10 * 243 = 24   Survived = 219   219nswer:219
Answer: A
The average of 10 numbers was calculated as 16. It is discovered later on that while calculating the average, one number, namely 46, was incorrectly read as 26. What is the correct average?	Choose the correct choice from the following answers
A) 18
B) 19
C) 20
D) 21
E) 22

Solution: 10*16 - 26 + 46= 
10*16 - 26 + 46 = 180
180   180 / 10= 
180 / 10 = 18
18   The answer is 18.
Answer: A
If 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?	Pick:	A) 10%	B) (8) 20%	C) 30%	D) 50%	E) 60%

Solution: {Total} = {First} + {Second} - {Both} + {Neither}   100% = 75% + 65% - {Both} + 20% --> {Both} = 60%.   Answer: 60%.
Answer: E
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choose the correct choice from the following answers:
A) 3 1/5 Km
B) 2 1/5 Km
C) 4 Km
D) 4 1/5 Km
E) 3 3/5 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 16/6   = 24/2 * 16/60   = 8 * 2/5   = 16/5 = 3 1/5 Km   3 1/5 Km
Answer: A
What amount does an investor receive if the investor invests $6000 at 10% p.a. compound interest for two years, compounding done annually?
Choose the most appropriate option.
A) $6980 B) $7070 C) $7120 D) $7260 E) $7340

Solution: A = (1 + R/100)^n * P   (1.1)^2 * 6000 = 1.21 * 6000= 
1.21 * 6000 = 7_260
7260   The answer is $7260.
Answer: D
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choose one:
A) 2
B) 4
C) 8
D) 6
E) 5

Solution: Quantity of milk in the mixture = 90/100 (70) = 63 litres.   After adding water, milk would form 87 1/2% of the mixture.   Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72   Hence 72 - 70= 
72 - 70 = 2
2 litres of water must be added.   2NSWER 2
Answer: A
The smallest number which when diminished by 9, is divisible 13, 26, 39, 52 and 65 is: Choose the most appropriate option:
A) 789  B) 769  C) 790  D) 787  E) 788

Solution: Required number = (L.C.M. of 13, 26, 39, 52,65) + 9   = 780 + 7   = 789   789nswer: Option 789
Answer: A
Set A is {1, 3, 5, 7, 9}
Set B is {8, 10, 12, 14, 16}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.  Answers.
A) I only
B) I and II only
C) I and III only
D) II and III only
E) I, II, and III

Solution: The mean and median of Set A is 5.   The mean and median of Set B is 12.   Thus statements I and II are both true.   The standard deviation is related to the distance from the mean.   Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.   The answer is I and II only.
Answer: B
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 8 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?	Options:
A) 8 + 4 + 10 B) 8 × 4 × 10 C) 21 × 20 × 19 D) 8! + 4! + 10! E) 8! × 4! × 10!

Solution: 1 sales manager can be selected out of 8 in 8 ways   1 clerk can be selected out of 4 in 4 ways   1 receptionist can be selected out of 10 in 10 ways   total no. of ways these 3 can be selected = 8 *4 * 10   Ans. 8 × 4 × 10)8 × 4 × 10
Answer: B
If you wish to live to be 100 years old (hypothetically), you must consume 500 calories less than your Average Daily Allowance for your age. If you are in your 60's, and your Average Daily allowance is 2000 calories per day, how many calories are you allowed in a week?	Choose the correct choice from the following:
A) 7000	B) 10500	C) 14000	D) 12000	E) 3500

Solution: To determine the amount of calories allowed per day, you need to subtract 500 from 2000, for a total of 1500   To determine the amount of calories allowed per week, you need to multiply the daily amount allowed (1500) by the number of days in a week (7) for a total of 10500   The correct answer is 10500
Answer: B
How many pieces can a square pizza be cut into by making 5 linear cuts?
Choose the correct choice from the following answers
A) 16	B) 17	C) 13	D) 14	E) 15

Solution: 1 cut can make 2 pieces   a second cut can make 4 pieces by cutting through 2 pieces   a third cut can make 7 pieces by cutting through 3 of the pieces   a fourth cut can make 11 pieces by cutting through 4 of the pieces   a fifth cut can make 16 pieces by cutting through 5 of the pieces   16
Answer: A
A and B can do a piece of work in 48 days, A and C can do it in 60 days, b and c can do it 72 days. In what time can c alone do it? Choose the correct choice from the following answers:	A) 84 days	B) 84 ½ days	C) 85 days	D) 87 days	E) 89 days

Solution: Explanation:   (A+B) 1 day work = 1/48   (B+85 days) 1 day work = 1/72   (A+85 days) 1 day work = 1/60   By adding 2(A+B+85 days) = 1/48 +1/72+1/60 = 37/720   (A+B+85 days) 1 day work = 37/1440   A 1 day work = 37/1440 – 1/72 = 17/1440 = 85 days (approximately)   Answer: Option 85 days
Answer: C
A cement mixture is composed of 3 elements. By weight, 1/5 of the mixture is sand, 3/4 of the mixture is water, and the remaining 6 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?	Choose the correct choice from the following.
A) 100	B) 120	C) 130	D) 140	E) 150

Solution: Let the total weight be x.   Sand content= (1/5)x   Water content= (3/4)x   Gravel=x-(1/5)x-(3/4)x=(1/20)x=6   x=120   Then answer will be 120=120
Answer: B
Mary deposits a certain sum of money in a bank at 16% p.a. simple interest. After how many years will she receive double her amount? Answers
A) 10 years 2 months  B) 12 years 6 months  C) 9 years  D) 8 years  E) 14 years

Solution: Solution: simple interest question   12 years 6 months=A[1+ (tr/100)]; where A is principal amount, 12 years 6 months final amount, t time in years and r interest rate   after putting the values 16   3= [1+(16t/100)]   t= 25/2 which is 12 years 6 months   Answer is 12 years 6 months
Answer: B
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Choose the correct choice from the following answers:
A) Rs. 2000	B) Rs. 2200	C) Rs. 2400	D) Data inadequate	E) Cannot be determined

Solution: Explanation :   Let the C.P. of the article be Rs. x   Given that % profit earned by selling article at Rs. 1920 = % loss incurred by selling article at Rs. 1280   (1920−x/x)∗100 = (x−1280/x)∗100   => 1920 - x = x - 1280   => 2x = 3200   => x = 1600   S.P. for 25% profit = Rs. 1600 + 25% of Rs. 1600 = Rs. 1600*(125/100) = Rs. 2000   Rs. 2000nswer : Rs. 2000
Answer: A
Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?  Choose the correct choice:  A) 8 hrs 18 min  B) 8 hrs 85 min  C) 8 hrs 15 min  D) 7 hrs 15 min  E) 8 hrs 25 min

Solution: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3   Number of pages typed by Elan in 1 hour = 40/5= 
40/5 = 8
8   Number of pages typed by both in 1 hour= (16/3 + 8) = 40/3   Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min   Answer: 8 hrs 15 min
Answer: C
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 480 pounds of the seed mixture?  Answers: A) 6 B) 12 C) 20 D) 24 E) 120

Solution: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.   Thus we need 40 pounds of mixture per acre.   480 / 40= 
480 / 40 = 12
12 acres   The answer is 12.
Answer: B
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. What is the ratio of their present ages?  Choose the correct answer.
A) 7:3
B) 3:7
C) 4:8
D) 8:4
E) 2:3

Solution: Let age of the son before 10 years =x and   age of the father before 10 years =3x   (3x+20)=2(x+20)⇒x=20   7:3ge of the son at present =x+10=20+10= 
20+10 = 30
30   7:3ge of the father at present=3x+10=3×20+10=70   Required ratio =70:30=7:3   7:3nswer is 7:3.
Answer: A
A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?	Choose one:
A) 1/3
B) 2/5
C) 2/7
D) 3/5
E) 4/7

Solution: Let b stand for boy and g for girl. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are girls’   F : ‘at least one of the child is a girl’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3
Answer: A
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.5 hours, then the distance covered at 40 kmph is  Choose one
A) 130 km B) 160km C) 100km D) 140km E) none of these

Solution: Let the partial distance covered at 40 kmph be X   Let the another partial distance covered at 60 kmph be (250 - x)   Thus, x/40 - (250 - x)/60 = 5.5   or, x/40 + (250 - x)/60 = 5.5   or, (3x + 500 - 2x)//120 = 5.5   or 500 + x = 660   x=160   ANSWER:160km
Answer: B
How many bricks each measuring 20cm x 13.25cm x 8cm, will be needed to build a wall 7m x 8m x 15.5m Choose the correct choice from the following choices
A) 5600 B) 4600 C) 4094 D) 7200 E) None of these

Solution: Explanation:   no. of bricks= volume of the wall/volume of 1 brick = (700 x 800 x 15.5) / (20 x 13.25 x 8) = 4094   Answer: 4094
Answer: C
A train 360 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?  Choose the most appropriate option.
A) 29
B) 18
C) 48
D) 99
E) 32

Solution: D = 360 + 120= 
360 + 120 = 480
480   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 480/15= 
480/15 = 32
32 sec   Answer: 32
Answer: E
How many numbers between 200 and 400 begin or end with 3? Choose the correct choice from the following options:
A) 20 B) 60 C) 100 D) 110 E) 120

Solution: There will be 10 numbers from 200 to 299 that will end with 3 ( 203, 213, 223........ 293 ).   There will be 100 numbers from 300 to 400 that will begin with 3, we will not count the numbers that will end with because they will be repeated.   Total numbers = 10 + 100= 
10 + 100 = 110
110   Answer is 110.
Answer: D
What is the area of a square field whose diagonal of length 16 m?
Pick one:
A) 128  B) 289  C) 200  D) 112  E) 178

Solution: d2/2 = (16 * 16)/2= 
(16 * 16)/2 = 128
128   128nswer: 128
Answer: A
A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is
Choose the correct choice from the following options:	A) 33 seconds	B) 30 seconds	C) 32 seconds	D) 31 seconds	E) 34 seconds

Solution: There are 3 intervals when the clock strikes 4   Time taken for 3 intervals = 9 seconds   Time taken for 1 interval =9/3= 
9/3 = 3
3 seconds   In order to strike 12, there are 11 intervals.   Hence time needed=3Ã—11=33 seconds   33 secondsnswer: 33 seconds
Answer: A
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Choose the correct choice from the following:
A) 2	B) 4	C) 6	D) 5	E) 1

Solution: Explanation:   65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer: 4
Answer: B
Ajay pays Rs 6.4 per litre of spirit, He adds water and sells the mixture at Rs 8 per Iitre, thereby making 37.5% profit. Find the proportion of the water to that of the spirit received by the customers.
Choose the correct choice from the following answers:
A) 1:15 B) 1:10 C) 1:20 D) 1:12 E) 1:13

Solution: Suppose the quantity of spirit purchased= X litres   Suppose quantity of water mixed = Y litres   Required ratio of the water and the spirit in the mixture = Y : X   C.P of X lts of spirit = Rs 6.4X   S.P of X lts of milk = Rs 8(X + Y)   profit % = 37.5   Thus, C.P = S.P x 100/(100 + gain% )   => 64 =( 8X + 8Y)/(100 + 37.5) x 100   880 X= 800X +800Y   => 80X = 800Y => X = 10Y   => X/10 = Y/1   Required ratio = 1:10   ANSWER:1:10
Answer: B
What percent of a day is four hours?
Choose the correct choice from the following.
A) 16.67%  B) 16x1/2%  C) 18x2/3%  D) 22x1/2%  E) None of these

Solution: Explanation :   Required percentage = (4/24100)%.   = 16.67%.   16.67%nswer : 16.67%
Answer: A
In measuring the sides of a rectangle, one side is taken 8% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.  Choose the most appropriate option
A) 3.5%  B) 2.4%  C) 3%  D) 5%  E) 2.6%

Solution: Let the sides of the rectangle be a and b.   actual area of the rectangle without error = ab   New side a ( 8% in excess) = a+0.08a = 1.08a   New side b ( 5% in deficit) = b-0.05b = 0.95b   Area of the new rectangle = (1.08a)(0.95b)= (1.0260)ab   say a=1 and b=1   area of the original rectangle = 1   area of the new rectangle = 1.026   change in the area calculation = .026   error percentage in the area calculated = 2.6%   ANSW2.6%R:2.6%
Answer: E
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}	Choose the correct option
A) 20	B) 30	C) 83	D) 82	E) 50

Solution: The given digits are 1, 2, 3, 5, 7, 9   A number is even when its units digit is even. Of the given digits, two is the only even digit.   Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.   Number of even numbers = ⁵P₃ = 60.   Answer:50
Answer: E
Robin's average (arithmetic mean) test score on 9 tests is 82. What must be Robin's score on a 10th test for his average score on the 10 tests to be 83? Choose the correct choice from the following answers
A) 92 B) 82 C) 72 D) 62 E) 52

Solution: (9*82+x)/10=83   x=(10*83)-(9*82)   x= 830 - 738= 
830 - 738 = 92
92   Correct answer is 92
Answer: A
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?	Pick one
A) Rs. 450  B) Rs. 600  C) Rs. 800  D) Rs. 375  E) Rs. 400

Solution: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/24.   A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4 : 3 : 1.   C's share (for 3 days) = Rs. ( 3 x 1/24 x 3200) = Rs. 400.   CORRRs. 400CT OPTION "Rs. 400".
Answer: E
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years replaced by a new boy. The age of the new boy is?  Choose the correct choice.
A) 14 years 8 months B) 15 years C) 16 years 4 months D) 17 years 10 months E) 17 years

Solution: Total decrease = (20 x 2) months   = 3 years 4 months   Age of the new boy   = 18 years - 3 years 4 months.   = 14 years 8 months.   14 years 8 monthsNSWER:14 years 8 months
Answer: A
John purchased a fridge and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.  Choose the correct choice from the following options:
A) 139
B) 160
C) 200
D) 220
E) 250

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200   As this is positive, an overall profit of Rs. 200 was made.   200
Answer: C
The greatest number by which the product of three consecutive multiples of 6 is always Select the correct option.
A) 54 B) 81 C) 162 D) 1296 E) None of these

Solution: Explanation:   6*12*18= 
6*12*18 = 1_296
1296   Option 1296
Answer: D
A merchant purchased a jacket for $180 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:	A) $0	B) $3	C) $4	D) $12	E) $15

Solution: Let selling price = x   So, x = 180 + 25x/100   Calculating above, x = 240   Selling price =240   20% $12iscount on Selling price = 192   So, profit = 192-180= 
192-180 = 12
12 Answer= $12
Answer: D
A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 4:00 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?	Options.
A) 10.18 p.m B) 11.00 p.m C) 10.30 p.m D) 10.38 p.m E) 10.32 p.m

Solution: D = 70 * 1 ½ = 105 km   RS = 85 – 70 = 15   T = 105/15= 
105/15 = 7
7 h     4.00 + 7= 
  4.00 + 7 = 11
11.00 p.m.   Answer:11.00 p.m
Answer: B
A ladies hostel had provision of food for 150 women for 45 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:
Choose one: A) 40 B) 41 C) 42 D) 54 E) 56

Solution: Explanation :   After 10 days : 150 women had food for 35 days.   Suppose 125 women had food for x days.   Now, Less women, More days (Indirect Proportion)   125 : 150 :: 35 : x   => 125 x x = 150 x 35   => x = 150 x 35 / 125   => x = 42.   Answer : 42
Answer: C
The present population of a town is 280. Population increase rate is 10% p.a. Find the population of town after 1 years?  Pick:  A) 100  B) 120  C) 200  D) 220  E) 308

Solution: P = 280   R = 10%   Required population of town = P*(1 + R/100)^T   = 280*(1 + 10/100)   = 280*(11/10)= 
280*(11/10) = 308
308   Answer is 308
Answer: E
The average of five numbers is 27. If one number is excluded, the average becomes 22. The excluded number is?  Pick one
A) 50  B) 49  C) 48  D) 47  E) 46

Solution: Excluded number = (27 * 5) - (22 * 4)   = 135 - 88= 
135 - 88 = 47
47.   Answer: 47
Answer: D