MU-NLPC/Calc-aqua_rat huggingface dataset:
In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :  Options.
A) n is a perfect square  B) n is an odd number  C) n is an even number  D) n is a perfect cube  E) none

Solution: For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be   (4*4)*4= 
  (4*4)*4 = 64
64 pieces, which is a cube of 4.   Answer: n is a perfect cube
Answer: D
The ratio of investments of A and B is 8 : 7 and the ratio of their yearend profits is 20 : 21. If B invested for 12 months, then find the period of investment of A:
Choose the correct answer:
A) 6 months	B) 8 months	C) 10 months	D) 12 months	E) None

Solution: Let A invest for x months ; A = 8x months,   B = 7 × 12 = 84 months   8x/84 = 20/21   ⇒ x = 10.   Answer: 10 months
Answer: C
What is the place value of 7 in the numeral 7529  Choices.
A) 2500	B) 3400	C) 3500	D) 3000	E) 7000

Solution: Option '7000'    7 * 1000= 
 7 * 1000 = 7_000
7000
Answer: E
A woman complete a journey in 30 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.	Choose the correct choice from the following choices:
A) 334 km.
B) 216 km.
C) 314 km.
D) 224 km.
E) 672 km.

Solution: 0.5x/21 + 0.5x/24 = 30   --> x/21 + x/24 = 60   --> x = 672 km.   672 km.
Answer: E
Find the face value of 9 in 79864	Choose the correct choice from the following options
A) 90	B) 900	C) 90000	D) 9000	E) 9

Solution: Face value is the value of digit itself   face value of 9 = 9   Answer : 9
Answer: E
A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 50 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choose the correct answer
A) 30  B) 48  C) 60  D) 80  E) 90

Solution: Total Vehicle = 2/3 of speedster + 1/3 of others.   Speedster convertibles = 2/3 total vehicle * 4 /5   Given : 1/3 constitutes 50 Vehicles. hence 2/3 constitutes 100   Speedster convertibls = 100 * 4/5= 
100 * 4/5 = 80
80   80
Answer: D
A table is bought for Rs.600/- and sold at a loss of 10% find its selling price Pick one:
A) Rs.500/-  B) Rs.530/-  C) Rs.540/-  D) Rs.600/-  E) Rs.700/-

Solution: 100 % ------> 600 (100 * 6 = 600)   90 % ------> 540 (90 * 6 = 540)   Selling price = Rs.540/-   Rs.540/-
Answer: C
speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?  Options
A) 10 min
B) 15 min
C) 20 min
D) 25 min
E) 40 min

Solution: speed of the bus excluding stoppages = 54 kmph   speed of the bus including stoppages = 45 kmph   Loss in speed when including stoppages = 54 - 45= 
54 - 45 = 9
9kmph=> In 1 hour, bus covers 9 km less due to stoppages   Hence, time that the bus stop per hour = time taken to cover 9 km   =distancespeed=954 hour=16 hour = 606 min=10 min   10 min
Answer: A
The no 2.52, when written as a fraction and reduced to lowest terms,the sum of the numeratr n denominator is :	Choose one:
A) 7	B) 141	C) 29	D) 349	E) 359

Solution: the actual question has bar on decimal part. Hence the number is 2.5252525252..... .   So let x=2.525252..   then 100x= 252.525252   100x-x=250   x=250/99   so ans=num+den=349   ANSWER:349
Answer: D
On a certain day, Joey, the ice-cream seller sold his ice creams to four different kids in a manner that each of the kids purchased half of the remaining ice creams and half ice-cream more.
If we tell you that the fourth kid bought just a single ice cream, can you find out how many ice creams were sold by Joey that day?
Select:
A) 15  B) 20  C) 22  D) 12  E) 8

Solution: A   Joey sold 15 ice creams that day.   The fourth kid bought a single ice cream. Therefore, we have the following equation:   Total - (Total / 2 + 1/2) = 1   Solving it, we get the total as 3.   Let's work this method till we reach the first kid.   The first kid bought 15 / 2 + 1/2= 
15 / 2 + 1/2 = 8
8 (leaving 7)   The second kid bought  7 / 2 + 1/2= 
 7 / 2 + 1/2 = 4
4 (leaving 3)   The third kid bought 3 / 2 + 1/2= 
3 / 2 + 1/2 = 2
2 (leaving 1)   The fourth kid bought  1 / 2 + 1/2= 
 1 / 2 + 1/2 = 1
1   15dding all of them together, we get    8 + 4 + 2 + 1= 
 8 + 4 + 2 + 1 = 15
15.
Answer: A
If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?
Choices
A) 625
B) 1296
C) 256
D) 350
E) 16

Solution: f(y)=y^2   f(f(y)) = (y^2)^2 = y^4   Therefore f(f(y)) will be numbers that are 4th power of other numbers.   Checking the options:   625 = 6^4   1296 = 6^4   256 = 4^4   350. This cannot be written as the 4th power of any number   16 = 2^4   Answer: 350
Answer: D
A can complete the job in 5 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete	Choices:
A) 1/8 B) 3/10 C) 1/2 D) 5/6 E) 8/9

Solution: 1/8=1/8
Answer: A
If x is an integer and (x)(x^2)(x^3)(x^6) is positive, which of the following could be negative? Choices:
A) x^4	B) (x)(x^3)	C) (x)(x)	D) x + x^7	E) 3x^2

Solution: A) X^4 - always positive (or 0).   B) X(X^3) = X^4 - Again always positive (or 0).   C) (x)(x) = X^2 - Again always positive (or 0).   D) x+x^7 - Could be -ve if x is -ve.   E) 3X^2 - again always positive (or 0)   Answer x + x^7.
Answer: D
A six-sided die is rolled once. What is the probability that the number rolled is greater than 4?
Pick one
A) 2 / 3
B) 2 / 6
C) 3 / 3
D) 4 / 5
E) 2 / 4

Solution: Only 5 & 6 so, 2 / 6   correct answer 2 / 6
Answer: B
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $4 more than 1/4 of the fine and Peter paid $4 less than 1/3 of the fine, leaving pay $5 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?  Select.
A) $30	B) $25	C) $35	D) $40	E) $45

Solution: Call the fine F. Joe paid (1/4)F + 4 and Peter paid (1/3)F – 4, leaving (1/2)F – 5 left. If we add those three up, they should add up to F.   F = [(1/4)F + 4] + [(1/3)F – 4] + [(1/2)F – 5]   F = (1/4)F + (1/3)F + (1/2)F – 5   Multiply all terms by 12 to clear the fractions.   12F = 3F + 4F + 6F – 60   12F = 13 F – 60   –F = – 60   F = 60   Well, if the fine cost $60, then Sam paid the part not covered by Joe or Peter. Half the fine is $30, and Sam paid $5 less than this: $25.   Answer = $25
Answer: B
The product of the first seven positive multiples of three is closest to which of the following powers of 10? Select
A) 10^9 B) 10^8 C) 10^7 D) 10^6 E) 10^5

Solution: The product will be 3^7 * 1 * 2 * 3 * 4 * 5 * 6 * 7   =3^7 * 5140   = 9^3 * 15420   = ~135000 * 9 * 9   = ~1220000 * 9   = ~11000000 which is very close to 10^7   The correct answer is therefore (10^7)
Answer: C
Calculate the number of tanks of 50x50x20m size needed to discharge crude oil from a cargo ship of volume 120000 m3 and is 90% full, if the tanks can only be filled up to 95%.
Choose the correct choice from the following answers:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Volume of the tank that needed to be filled=50x50x20x0.95=47500   Volume of the crude in ship=120000x0.9=108000   No. of tanks needed to discharge the ship=108000/47500= 2.27   Which is 3 tanks   Answer: 3
Answer: C
A bag contains 6 black and 9 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Choices.
A) 4 B) 4/3 C) 4/5 D) 4/9 E) 3/5

Solution: Let number of balls = (6 + 9)= 
(6 + 9) = 15
15.   Number of white balls= 9.   P (drawing a white ball) = 9/15=3/5   Hence Answer is 3/5
Answer: E
Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all Choose the correct choice from the following answers.
A) 15.5 B) 15 C) 16 D) Cant be computed E) 17

Solution: Explanation:   As number of girls and boys is not given so result cant be computed   Answer: Option Cant be computed
Answer: D
The C.P of 10 pens is equal to the S.P of 5 pens. Find his gain % or loss%?
Answers.
A) 50%  B) 40%  C) 30%  D) 60%  E) 20%

Solution: 10 CP = 5 SP   10 --- 5 CP gain   100 --- ? => 50%(gain)   50%nswer: 50%
Answer: A
The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 23 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken under 10 minutes ?
Choose the correct answer:
A) 13  B) 14  C) 15  D) 16  E) 19

Solution: a must be an integer as it is the number shoots at a rate of 23sec/shoot   3*60 + 23a = 10*60   23a = 420   a = 18   The total number of shoots -->1 +18 = 19 and   20th shoot will be taken at 617 seconds which is above 10 minutes   ANSW19R: 19-- 1 +18= 
-- 1 +18 = 19
19 and   20th shoot will be taken at 617 seconds which is above 10 minutes   ANSW19R: 19
Answer: E
The average age of a group of 10 students is 20 years. If 2 more students join the group, the average age increases by 1 year. The average age of the new students is
Choose one
A) 23 B) 21 C) 19.5 D) 20 E) 22.5

Solution: Total age of 10 students = 10 * 20= 
10 * 20 = 200
200 and the total age of 16 students= 21*15= 
21*15 = 315
315.   Let the average age of 2 new students be x.   Therefore total age of the new students= 2x.   So total age of 12 student =200 +5x=315, x=23   Hence, the correct answer is 23.
Answer: A
Three candidates contested in an election and received 6136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Choose one:
A) 46%  B) 49%  C) 57%  D) 51%  E) 62%

Solution: Total number of votes polled = 6136+7636+11628= 
6136+7636+11628 = 25_400
25400   Required percentage= 11628*100/25400 = 46%   46%nswer is 46%
Answer: A
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If the socks are laid next to each other, how many different arrangements of socks could be made? Choose one
A) 24  B) 240  C) 1,024  D) 2,520  E) 5,040

Solution: I see no condition for arrangement.   So 7! ways - 5,040   ANS option 5,040 is correct answer..
Answer: E
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?  Answers.
A) 28 B) 37 C) 18 D) 38 E) 39

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 200% of b = l + 2b = 3b   Area of the floor = 324/3= 
324/3 = 108
108 sq m   l b= 108 i.e., l * l/3 = 108   l2 = 324 => l = 18.   Answer:18
Answer: C
How many numbers amongst the numbers 5 to 30 are there which are exactly divisible by 6 but not by 4?
Choices:
A) Nil	B) 1	C) 2	D) 3	E) More than 3

Solution: 6,12,18,24,30 are divisible by 6.   12, 24 are divisible by 4 also.   So there are 3 numbers exactly divisible by 6 but not by 4   ANSWER:3
Answer: D
For any positive integer n, n>1, thelengthof n is the number of positive primes (not necessary distinct) whose product is n. For ex, the length of 50 is 4, since 50=2x5x5. What is the greatest possible length of a positive integer less than 1000.
Choose the correct choice from the following answers: A) 10 B) 9 C) 8 D) 7 E) 6

Solution: you are missing something in your post:   For any positive integer n , n > 1, thelengthof n is the number of positive primes (not distinct) whose product is n. For example, the length of 50 is 3 since 50 = (2)(5)(5)   the lenght of 1000 = (2)(5)(2)(5)(2)(5) = 6   but we need n < 1000   using 2 as the base = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 98 the length of 512.   the answer is 8
Answer: C
By selling an shirt for $300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:	Choices
A) 2  B) 14  C) 8  D) 12  E) 10

Solution: C   8%   Marked price = $300   C.P. = 100/120 * 300= 
100/120 * 300 = 250
$250   Sale price= 90% of $300 = $270   Required gain % = 20/250 * 100= 
20/250 * 100 = 8
8%.
Answer: C
A car covers a distance of 720 km in 6 hours. Find its speed?	Choose the correct choice:
A) 104 B) 7778 C) 266 D) 288 E) 120

Solution: 720/6= 
720/6 = 120
120 kmph   Answer:120
Answer: E
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.1 per sq m?  Pick one.
A) 675 B) 135 C) 320 D) 430 E) 820

Solution: 675rea = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 1 = Rs.675   675nswer:675
Answer: A
By investing in 16 2/3% stock at 64, one earns Rs. 1500. The investment made is:  Pick one: A) Rs. 5640 B) Rs. 5760 C) Rs. 7500 D) Rs. 9600 E) Rs. 8600

Solution: To earn Rs.50/3,investment =Rs.64   To earn Rs.1500,investment =(64*1500*3)/50=Rs.5760   ANSWER:Rs. 5760
Answer: B
The balance of a trader weighs 8% less than it should. Still the trader marks up his goods to get an overall profit of 30%. What is the mark up on the cost price?
Pick one.
A) 40%
B) 19%
C) 25%
D) 16.66%
E) 9%

Solution: The most natural way to deal with 'weights' questions is by assuming values.   Say the trader's balance shows 100 gms. It is actually 92 gms because it weighs 8% less. Say, the cost price is $92 ($1/gm). Since he gets a profit of 30%, the selling price must be 92+(30/100)*90= 
92+(30/100)*90 = 119
$119   Since the cost price is actually supposed to be $100 (for 100 gms) and the selling price is $119, the mark up is simply 19%   Ans : 19%.
Answer: B
All the page numbers from a book are added, beginning at page 1. However, one page number was mistakenly added twice. The sum obtained was 1000. Which page number was added twice?  Choose the correct choice from the following options.
A) 44
B) 45
C) 10
D) 12
E) 11

Solution: Explanation :   sum of n natural numbers = n (n+1)/2   Here, n( n + 1)/2 = 1000 - x (where x is the number that is added twice)   => n(n+1) < 2000 - 2x   we need to find max value n can take . We know for a product of two numbers to be max the number should be closest. We need to find out the least number whose square is higher than 2000. For example, 452 = 2025.   So our number is somewhere near to 45. it can't be more than 45 as our required product is less than 2000.   44 * 45= 
44 * 45 = 1_980
1980. So, we can have n= 44.   => n (n+1) = 44 * 45= 
44 * 45 = 1_980
1980= 2000 - 2 * 10.   => x = 10.   Hence, we have 44 pages and page number 10 was added twice.   Answer : 10
Answer: C
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:	Choose the correct answer
A) 5%  B) 10%  C) 7%  D) 8%  E) 9%

Solution: Explanation :   Let the rate of interest per annum be R%   Simple Interest for Rs. 5000 for 2 years at rate R% per annum +Simple Interest for Rs. 3000 for 4 years at rate R% per annum = Rs.2200   ⇒5000×R×2/100+3000×R×4/100=2200   ⇒100R + 120R=2200   ⇒220R=2200   ⇒R=10   i.e, Rate = 10%.   Answer : Option 10%
Answer: B
Three cubes of metal whose edges are 5, 10 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?	Select the correct option:  A) 28  B) 77  C) 66  D) 16.5  E) 99

Solution: 53 + 103 + 153 = a3 => a   = 16.5   Answer: 16.5
Answer: D
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 26 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?	Choose the correct choice from the following
A) 64
B) 72
C) 86
D) 98
E) 99

Solution: Use the options.   The options which after getting added to 26 shows a cube of a number could be right.   Here    64+26= 
 64+26 = 90
90   72+26= 
72+26 = 98
98   86+26= 
86+26 = 112
112   98+26+124   99+26= 
99+26 = 125
125 ---(5*5*5)   So we have 99 as the answer!   99
Answer: E
Fresh grapes contain 85% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 20kgs of raisins?	Choose one
A) 75 kgs
B) 64kgs
C) 100 kgs
D) 65 kgs
E) 70 kgs

Solution: The weight of non-water in 20 kg of dried grapes (which is 100-25= 
100-25 = 75
75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-85= 
100-85 = 15
15% of whole weight), so 20*0.75= x*0.15   --> x =100.   Answer: 100 kgs
Answer: C
Find the probability that the sum of n numbers is divisible by n,assuming n is very large no.	Choose the correct answer
A) 1 B) 1/2 C) 3/4 D) None of these E) Can't be determined.

Solution: sum of n numbers is n(n+1)/2   case 1)when n is odd take 3   Sum is 3*4/3 it is divisible by 3   we can conclude that n=odd sum of n numbers is divisible by n   case2) when n is even take 4   Sum is  4*5/2= 
 4*5/2 = 10
>10 10/4 rem is 2 so not divisible   we can conclude that n=even sum of n numbers is not divisible by n   Total of total 2 cases 1 case is possible   So probability=possible/total=1/2   ANSWER:1/2
Answer: B
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?  Choose the correct choice from the following answers
A) 30	B) 35	C) 36	D) 37	E) 38

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/12 => x = 10   Speed of each train = 10 m/sec.   = 10 * 18/5 =- 36 km/hr.   Answer: Option 36
Answer: C
An employee’s annual salary was increased 30%. If her old annual salary equals $30,000 , what was the new salary?  Choose the correct answer.
A) $28,000
B) $25,000
C) $20,000
D) $35,000
E) $39,000

Solution: Old annual salary = $30,000   Salary increase = 30%.   Original salary = $30,000 *30/100   = $9000   new salary = $30,000+$9000   =$39,000   Hence $39,000.
Answer: E
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Choose the correct choice from the following.
A) 11  B) 10  C) 8  D) 12  E) 15

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.   Answer: 10
Answer: B
For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is?  Select
A) between 4 and 20  B) between 10 and 20  C) between 20 and 30  D) between 30 and 40  E) 4

Solution: h(100) will have 0 in its unit digit because while doing the calculation of the function we are multiplying by 10 (and 100). So h(100)+4 will have 4 in the units digit so smallest prime factor is 4.   Answer: 4
Answer: E
Johnny makes $2.35 per hour at his work. If he works 5 hours, how much money will he earn?	Choose the most appropriate option: A) $30 B) $54 C) $28.50 D) $12 E) $11.75

Solution: 2.35*5=11.75. Answer is $11.75.
Answer: E
The number of boys in a class is 2 times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?  Choose the correct choice:
A) A)47
B) B)44
C) C)42
D) D)40
E) E)38

Solution: Explanation:   Let number of girls = x and number of boys = 2x.   Then, 2x + x = 3x = total number of students.   Thus, to find exact value of x, the total number of students must be divisible by 3.   Answer: 42
Answer: C
On a certain scale of intensity, each increment of 30 in magnitude represents a tenfold increase in intensity. On this scale, an intensity corresponding to a magnitude of 165 is how many times an intensity corresponding to a magnitude of 125?
Choose the correct choice from the following choices:
A) 40 B) 100 C) 400 D) 1000 E) 10 000

Solution: Increase of 40 in magnitude corresponds to 10^4 increase in intensity:   If intensity for 125 is x then for 135 it'll be 10*x, for 145 it'll be 10*10*x=10^2*x, for 155 it'll be 10*10*10*x=10^3*x and for 165 it'll be 10*10*10*10*x=10^2*x.   Answer: 100.
Answer: B
The least number which should be added to 720 so that the sum is exactly divisible by 5,6,4 and 3 is : Choose the correct answer:
A) 3	B) 13	C) 48	D) 33	E) 43

Solution: Solution   L.C.M. of 5,6,4 and 3 = 60. on dividing 720 by 60, the remainder is 12.   ∴ Number to be added = (60-12)= 
(60-12) = 48
48. Answer 48
Answer: C
A certain club has 6 members, including Harry. One of the 6 members is to be chosen at random to be the president, one of the remaining 5 members is to be chosen at random to be the secretary, and one of the remaining 4 members is to be chosen at random to be the treasurer. What is the probability that Harry will either be the secretary or the member chosen to be the treasurer?	Select:	A) 7/3	B) 5/3	C) 1	D) 2/3	E) 1/3

Solution: Each member out of 6, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/6 and the probability that Harry will be selected to be the treasurer is also 1/6. So, the probability that Harry will be selected to be either the secretary or the the treasurer is 1/6+1/6=2/6.   Answer: 1/3.
Answer: E
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
Choose the correct choice from the following:  A) 21/46  B) 25/117  C) 1/50  D) 3/25  E) 2/25

Solution: Let S be the sample space and E be the event of selecting 1 girl and 2 boys.   Then, n(S)	= Number ways of selecting 3 students out of 25   = 25C3 `   =	(25 x 24 x 23)/(3 x 2 x 1)   = 2300.   n(E)	= (10C1 x 15C2)   = (10 x	(15 x 14)/(2 x 1))   = 1050.   P(E) =	n(E)	/n(S)	=	1050/2300	=	21/46	.   21/46nswer:21/46
Answer: A
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?  Choose the correct answer:
A) 33377  B) 38000  C) 27999  D) 2776  E) 198712

Solution: CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Answer:38000
Answer: B
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?	Answers: A) 1000 B) 3899 C) 1028 D) 1039 E) 1002

Solution: Explanation:   Let the original number be x.   Final number obtained = 110% of (90% of x)   1000nswer: 1000) 1000
Answer: A
Number of ways in which the letters of word GARDEN can be arranged with vowels in alphabetical order, is Choose the correct choice from the following answers.
A) 360	B) 240	C) 120	D) 480	E) None

Solution: Solution   Order of vowels of fixed   ∴ required number of ways are 6!/2!   360nswer 360
Answer: A
If the remainder is 16 when the integer n is divided by 30, what is the remainder when 2n is divided by 15?	Options: A) 0 B) 2 C) 4 D) 6 E) 8

Solution: n = 30k+16   2n = 2(30k+16) = 4k*15 + 32 = 4k*15 + 2*15 + 2 = 15j + 2   The answer is 2.
Answer: B
Find the one which does not belong to that group ? Choose the correct choice from the following choices
A) 35 B) 77 C) 28 D) 19 E) 11

Solution: Explanation:   48, 75, 84 and 57 are divisible by 3 but not 35.   35nswer:35
Answer: A
A student has 8 trousers and 12 shirts. In how many different ways can the student select a trouser and a shirt?	Choose the correct answer:	A) 84	B) 96	C) 108	D) 120	E) 132

Solution: The student can select one trouser in 8 ways.   The student can select one shirt in 12 ways.   The number of ways to select one trouser and one shirt is  8 * 12= 
 8 * 12 = 96
96 ways   The answer is 96.
Answer: B