MU-NLPC/Calc-aqua_rat huggingface dataset:
By selling an umbrella for Rs. 300, a shop keeper gains 200%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?	Choose the correct answer
A) 50	B) 25	C) 400	D) 200	E) 150

Solution: Marked price = Rs. 300   C.P. = 100/300 * 300 = Rs. 100   Sale price = 90% of Rs. 300 = Rs. 270   Required gain % = 200/100 * 100= 
200/100 * 100 = 200
200%.   Answer:200
Answer: D
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 72° of the circle, what percentage of MegaTek employees are in manufacturing? Choose the correct choice from the following answers:
A) 20%  B) 25%  C) 30%  D) 35%  E) 72%

Solution: 72° divided by 360° equals 0.2, therefore the sector is equal to 20% of the total   20%NSWER: 20%
Answer: A
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of5% p.a. was Rs.246. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.  Choices: A) Rs.2535 B) Rs.2646 C) Rs.2546 D) Rs.2656 E) Rs.2565

Solution: Let the sum be Rs.P   P{ [ 1 + 5/100]2 - 1 } = 246   P(5/100)(2 +5/100) = 246 [a2 - b2 = (a - b) ( a + b)] P = 246 / (0.05)(2.05) = 2400. Amount =Rs.2646 Answer :Rs.2646
Answer: B
Victor gets 92 % marks in examinations. If these are 184 marks, find the maximum marks. Choose the correct choice from the following:	A) 334	B) 500	C) 200	D) 288	E) 271

Solution: Let the maximum marks be m   Then 92 % of m = 184   ⇒ 92/100 × m = 184   ⇒ m = (184 × 100)/92   ⇒ m = 18400/92= 
18400/92 = 200
200   Therefore, maximum marks in the examinations are 200.   Answer: 200
Answer: C
Which of the following equations is NOT equivalent to 4x^2 = z^2 - 9 ?  Choose the correct option.
A) 4x^2 + 9 = z^2 B) 4x^2 - z^2 = -9 C) 4x^2= (z + 3)(z - 3) D) 2x = z - 3 E) x^2 = (z^2-9)/4

Solution: 4X^2 = z^2 - 9   The basic rule when dealing with equations is that you can do ANYTHING to both sides of an equation as long as you do it EQUALLY to BOTH sides. Everything gets a bit more complex when you're dealing with variables in the denominator of a fraction and/or inequalities, but neither of those subjects is a factor in this prompt.   Looking at Answer D, we have....   2X = z - 3   While you COULD take the square root of both sides of the original equation, it's important to note that the square root of z^2 - 9 is NOT (z-3).   z^2 - 9 can be factored into (z-3)(z+3), but neither of these parentheses is the square root of z^2 - 9.   You can see the proof when you square either of the two parentheses:   (z-3)^2 = z^2 - 6X + 9   (z+3)^2 = z^2 + 6x + 9   Thus, 2x = z - 3 is NOT equivalent to the prompt.
Answer: D
From a pack of 52 cards, two cards are drawn together at random. What is the probability that the one is heart and other two is diamond?
Select:
A) 238/5525 B) 176/5534 C) 253/5523 D) 234/5525 E) 1/5525

Solution: Solution   Let S be the sample space. Then,   n(S) = 52C3	= 22100   Let E = event of getting 1 face card.   n(E) = number of ways of choosing 1 face card out of 26   =13C1 * 13C2= 13*72= 
13*72 = 936
936   P(E)= n(E) / n(S)	= 936 / 22100 = 234/5525   = 234/5525.   Answer 234/5525
Answer: D
In a recent election, Ms. Robbins received 6,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 15 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received? Choose the correct choice from the following options
A) 0.06N + 3,200
B) 0.09N + 6,000
C) 0.4N + 7,200
D) 0.1N + 8,000
E) 0.06N + 8,000

Solution: I will go with option B   According to question 40 percent of total votes (N) cas were cast by independent voters. This implies 60 percent of N are voters that belong to political party. And she received 6000 votes from independent voters and 15 percent from registered voters (i.e 0.15 * 0.6 * N = 0.09N). Hence total votes = 6000 + 0.09N ....option 0.09N + 6,000
Answer: B
There were 400 ducks in a pond and 15 percent of them just left. How many ducks are remaining?  Choices:
A) 300 B) 280 C) 220 D) 340 E) 250

Solution: 400/100= 
400/100 = 4
4   4 x 15= 60   400 - 60= 
400 - 60 = 340
340   Answer is 340
Answer: D
A student was asked to find the arithmetic mean of the number 3,11,7,9,15,13,8,19,17,21,14 and x. He found the mean to be 12. what should be the number in place of x ?  Answers:
A) 3
B) 7
C) 17
D) 31
E) 32

Solution: Solution   Clearly, we have(3+11+7+9+15+13+8+19+17+21+14+X/12) = 12   or 137+x = 144 or x = 144-137= 
144-137 = 7
7. Answer 7
Answer: B
If 76 is divided into four parts proportional to 7,5,3,4 then the smallest part is	Choose the correct choice from the following answers:
A) 12  B) 15  C) 16  D) 19  E) None

Solution: Sol.   Given ratio = 7 : 5 : 3 : 4, sum of ratio terms = 19.   ∴ Smallest part = (76 x 3/19) = 12.   12nswer 12
Answer: A
What is the smallest integer b for which 27^b> 3^24?	Choose the correct choice.
A) 7  B) 8  C) 9  D) 10  E) 12

Solution: 27^b> 3^24   9onverting into the same bases:   27^b> 27^8   Therefore for the equation to hold true, b> 8 or b = 9   Option 9
Answer: C
The area of a square playground is A square feet and the perimeter is p feet. If 4A=8p+36, what is the perimeter of the playground, in feet?	Select
A) 28  B) 40  C) 36  D) 56  E) 64

Solution: You can also solve this via using the given numbers in the answer choices!   Of course you need to be aware of the basic properties as outlined by the other posts above (a = x^2 and p = 4x)   Starting with D you will notice that x=14 is way too big for your area (14^2) and will not satisfy: 4A=8p+36 or A=2p+9   --> Eliminate D and E   Now pick 36 (its either too big, then its A, or too small then you know its 36 or it is B itsself)   And picking 36 indeed solves the problem! (36/4 --> 9; a= 9^2 = 81 and 81=2x36+9)
Answer: C
An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair?	Choose the correct choice from the following answers: A) 100 B) 80 C) 110 D) 64 E) None of these

Solution: Explanation :   He has has 10 patterns of chairs and 8 patterns of tables   Hence, A chair can be arranged in 10 ways and   A table can be arranged in 8 ways   Hence one chair and one table can be arranged in 10 x 8 ways = 80 ways. Answer : Option 80
Answer: B
If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling nine books ? Choose the correct choice:
A) 2025
B) 2677
C) 1800
D) 2778
E) 76611

Solution: Explanation:   Least Cost Price = Rs. (200 * 9) = Rs. 1800.   Greatest Selling Price = Rs. (425 * 9) = Rs. 3825.   Required profit = Rs. (3825 - 1800) = Rs. 2025.   2025nswer: 2025) 2025
Answer: A
At a dinner party, 7 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?	Choose the most appropriate option.
A) 1) 5 B) 2) 720 C) 3) 724 D) 4) 732 E) 5) 120

Solution: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!   in this case, there are 7 guests, so number of distinct arrangements = 6! = 720   Answer : 2) 720
Answer: B
Two trains of equal lengths take 10 sec and 15 sec, respectively, to cross a telegraph post. If the length of each train is 120 m, in what time will they cross each other, travelling in opposite directions?
Choose the correct choice from the following answers:
A) 17 sec
B) 12 sec
C) 18 sec
D) 19 sec
E) 52 sec

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.   Answer: 12 sec
Answer: B
A box contains 3 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choose the correct answer:
A) 4/7
B) 3/5
C) 5/8
D) 2/3
E) 3/4

Solution: Each ball has an equal chance (1/9) of being selected fourth.   The probability that a black ball is selected fourth is 6/9 = 2/3.   The answer is 2/3.
Answer: D
A certain no. when divided by 95 leaves a remainder 25, what is the remainder if the same no.be divided by 15? Choose the correct choice from the following answers:
A) 3	B) 4	C) 6	D) 8	E) 9

Solution: Explanation:   95 + 25= 
95 + 25 = 120
120/15= 
120/15 = 8
8 (Remainder)   8
Answer: D
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability R that this product will be a multiple of 45?  Choose the correct choice from the following answers:
A) 1/32
B) 1/28
C) 1/24
D) 1/16
E) 1/14

Solution: There are 3 single digit multiple of 3, that is, 3,6,9.   There are 8 prime nos less than 20 - 2,3,5,7,11,13,17,19   Total outcome - 8*3 = 24   Favourable outcome = 1 (9*5)   Hence required probability R= 1/24. Answer 1/24.
Answer: C
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $504 per week. How much does she earn in dollars per hour?  Choose the correct choice:
A) 2  B) 8  C) 9  D) 14  E) 24

Solution: Explanation:   Total hours worked = 8 x 3 + 6 x 2 = 36   Total earned = 504. Hourly wage = 504 / 36= 
504 / 36 = 14
14   Answer: 14
Answer: D
Kamal will complete work in 20 days. If Suresh is 25% more efficient than Kamal, he can complete the work in --- days. Choose one
A) 14	B) 16	C) 18	D) 20	E) 22

Solution: Explanation :   Work done by Kamal in 1 day = 1/20   Work done by Suresh in 1 day = (1/20) × (125/100) = 5/80 = 1/16   => Suresh can complete the work in 16 days   Answer : Option 16
Answer: B
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?	Options:
A) 12/35 B) 35/12 C) 45/12 D) 4/9 E) 6/15

Solution: Let the numbers be a and b. Then, a + b = 12 and ab = 35.   a + b/ab	=12/35   1/b+	1/a=	12/35   Sum of reciprocals of given numbers =12/35   answer 6/15
Answer: E
Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 31 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?  Choose the correct choice from the following options:	A) 15.5 minutes	B) 31 minutes	C) 35 minutes	D) 62 minutes	E) 93 minutes

Solution: Danny's time is 31 minutes. The time to reach halfway is 15.5 minutes.   Steve's time is 62 minutes. The time to reach halfway is 31 minutes.   The time difference is   31 - 15.5= 
  31 - 15.5 = 15.5
15.5 minutes   The answer is 15.5 minutes.
Answer: A
Twenty percent of the skiers that tried out for the ski patrol were selected. Of those that were not selected, 20 skiers were CPR certified and 28 were not. How many skiers tried out for the ski patrol?	Choose the correct choice from the following answers: A) 40 B) 50 C) 60 D) 70 E) 80

Solution: Not Selected = 80%   If total is x.   Then 0.8x=20+28= 
20+28 = 48
48   x=60   Hence answer is 60.
Answer: C
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?	Select the correct option:  A) 222  B) 377  C) 277  D) 400  E) 281

Solution: 2*12 : 3*12 : 4*24   1: 3: 4   1/8 * 3200= 
1/8 * 3200 = 400
400   Answer: 400
Answer: D
Find the sum of divisors of 544 which are perfect squares.  Choices:	A) 32	B) 64	C) 42	D) 21	E) None of these

Solution: 544= 25 + 171 =(2)0+(2)1+(2)2+(2)3+(2)4+(2)5 x (17)0 + (17)1.   Here 20=1 =11 A perfect Square,   22 and 24=16=44 are perfect Squares, Hence,   1 + 4 + 16= 
1 + 4 + 16 = 21
21. Correct answer is : 21
Answer: D
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?  Choose the most appropriate option:
A) 320 m  B) 350 m  C) 650 m  D) 750 m  E) None of these

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   ANSWER:350 m
Answer: B
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 50 years. What is Deepak present age Choose the correct option
A) 14	B) 15	C) 33	D) 22	E) 23

Solution: Explanation:   Present age is 4x and 3x,   => 4x + 6 = 50 => x = 11   So Deepak age is = 3(11) = 33   Answer: Option 33
Answer: C
The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?
Choose the correct choice from the following options
A) 706  B) 786  C) 906  D) 896  E) 696

Solution: Let C.P =Rs. x   Then as given, (753 - x ) = (x - 455) 2x = 1208 x = 604   There fore S.P= 150% of 604 => Rs. = Rs.906   ANSWER:906
Answer: C
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 140, how much must C pay as his share of rent?
Pick
A) 45 B) 36 C) 55 D) 65 E) none

Solution: Sol.   A : B : C = 10 * 7 : 12 * 5 : 15 * 3 = 70 : 60 : 45 = 14 : 12 : 9.   âˆ´ Câ€™s rent = Rs. [140 * 9/35] = Rs. 36.   Answer 36
Answer: B
A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:
Choose the correct choice from the following options: A) 12000 B) 6000 C) 8000 D) 10000 E) None of these

Solution: Total expenditure = 40 + 25 + 15 + 10= 
40 + 25 + 15 + 10 = 90
90%   Saving= (100 - 90)= 
(100 - 90) = 10
10%   10/100 × Salary= 1200, Salary = 12000 Rs.   12000nswer:12000
Answer: A
We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 5%. The total investment with interest at the end of the year was $1,046. How much money did we invest at 3%?
Choose the correct choice from the following answers:	A) $200	B) $240	C) $280	D) $320	E) $360

Solution: Let x be the money invested at 3%.   1.03x+1.05(1000-x)=1046.   0.02x=1050-1046.   0.02x=4.   2x=400.   x=200.   The answer is $200.
Answer: A
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 5.5 km apart, if they walk in the same direction?  Choose the correct option:	A) 11 hrs	B) 14 hrs	C) 15 hrs	D) 17 hrs	E) None

Solution: Sol.   to be 0.5 km apart, they take 1 hour.   To be 5.5 km apart, they take [1/0.5 * 5.5= 
1/0.5 * 5.5 = 11
11 hrs.   11 hrsnswer 11 hrs
Answer: A
You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter? Choose the correct choice from the following choices
A) 5 B) 6 C) 9 D) 12 E) 18

Solution: Consider one particular arrangement of the first row: XYZ, then we can construct only two boxes with so that no rows or columns have 2 or more of the same letter:   XYZ   YZX   ZXY   And:   XYZ   ZXY   YZX   Now, the first row itself can be arranged in 3!=6 ways (since there are three distinct letter), hence the total number of boxes possible is 2*6= 
2*6 = 12
12.   Answer: 12.
Answer: D
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Select
A) 32%	B) 42%	C) 52%	D) 62%	E) 72%

Solution: Total = 100   T= 40 NT= 60   40*(60/100)= 
40*(60/100) = 24
24 60*(40/100)=24   24 + 24= 
24 + 24 = 48
48=> 100 - 48= 
100 - 48 = 52
52%   ANSWER:52%
Answer: C
A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.	Choose the correct choice from the following answers:
A) 4%
B) 5%
C) 3.5%
D) 5.5%
E) 4.5%

Solution: sol. cp=rs27.50, sp=rs 28.50   gain=rs(28.50 –27.50)=rs1.10   so gain%={(1.10/27.50)*100= 
(1.10/27.50)*100 = 4
4%   4%nswer is 4%.
Answer: A
1/2+[(2/3*3/8)+4]-7/16= Choose one:
A) 29/16
B) 19/16
C) 69/16
D) 9/13
E) 0

Solution: 1/2+[(2/3*3/8)+4]-7/16=   1/2+[(1/4)+4]-7/16=   1/2+[17/4]-7/16=   8/16 + 68/16 - 7/16 = 69/16   69/16
Answer: C
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 9 managers?  Choose the correct answer
A) 39 B) 40 C) 41 D) 42 E) 43

Solution: 9/7 * 32 = 41.1   The answer is 41.
Answer: C
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
Choose the correct choice from the following choices:  A) Rs. 1(2/9)  B) Rs. 2(2/9)  C) Rs. 2(1/9)  D) Rs. 3(2/7)  E) Rs. 4(2/9)

Solution: Here r = 10 % ,x = 100 and A = 5 kg   Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)   Rs. 2(2/9)
Answer: B
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Choose the correct choice from the following answers: A) 100 B) 277 C) 2987 D) 278 E) 271

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 200 - 100= 
200 - 100 = 100
100 m.   100nswer: 100
Answer: A
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103? Choose one
A) 2500 m^2
B) 2510 m^2
C) 2520 metre sq
D) 2540 m^2
E) 2590 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 metre sq
Answer: C
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 8, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?	Choose the correct option
A) 27
B) 9
C) 72
D) 112
E) 422

Solution: {1}{2}{greater than 6}{divisible by 3}{3x}{x}:   The third digit can take 1 values: 9.   The fourth digit can take 3 values: 3, 6, or 9.   The fifth and sixth digits can take 3 values: 31, 62, or 93.   Total = 1*3*3 = .   Answer: 9.
Answer: B
Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?  Choose the correct choice from the following:
A) Zero
B) One
C) Two
D) Three
E) More than three

Solution: There could be 3 medians of this set.   8 , when x <8   x , when 8<=x<=12   and   12, when x>12   There could be 1 mean = (40+x)/5   Now, we can solve (40+x)/5 = 8 , x, 12 to find out values.. and if valid values are found that solution counts.   We get x= 0 ,10, 20. Hence 3 solutions.   Ans Three
Answer: D
An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?  Choose the correct choice from the following choices.
A) A)1500
B) B)10000
C) C)2500
D) D)3000
E) E)3100

Solution: Let the number of meters to be examined be x   Then, 0.02% of x = 2   (2/100)*((1/100)*x = 2   x = 10000   Answer is 10000
Answer: B
A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find the distance between the two stations. Options
A) 210	B) 200	C) 220	D) 230	E) 240

Solution: Let x be the scheduled time for the trip from A to B. Then the distance between A and B can be found in two ways. On one hand, this distance equals 75(x−4860) km. On the other hand, it is 50x+40 km. So we get the equation:   75(x−4860)=50x+40   x=4 hr is the scheduled travel time. The distance between the two stations is 50⋅4+40=240 km.   Answer is 240.
Answer: E
A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train	Choose the correct choice from the following answers:
A) 10 sec
B) 18 sec
C) 6 sec
D) 4 sec
E) 2 sec

Solution: Explanation:   Distance = 330 m   Relative speed = 60+6= 
60+6 = 66
66 kmph (Since both the train and the man are in moving in opposite direction)= 66×10/36 mps = 110/6 mps   Time = distance/speed =330/(110/6)= 
330/(110/6) = 18
18 s   Answer: Option 18 sec
Answer: B
When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 40?	Pick one:  A) 7  B) 21  C) 34  D) 47  E) 55

Solution: Số thẻ number given is N = 143Q + 45   If this number is divided by 13, the remainder would be R[(143Q + 45)/13]   Since 143 is divisible by 13 , the product 143Q gives no remainder   This means the remainder of 45/13 should be the remainder of the entire number N   which is 6   To make it divisible by 13 , the smallest number that can be added =40 - 6= 
40 - 6 = 34
34   34orrect Option : 34
Answer: C
Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 20 candidates. She plans to have one working interview with 3 of the 20 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?  Choose the correct choice from the following options:
A) 520 B) 120 C) 300 D) 30 E) 333

Solution: 520.   520nswer 520
Answer: A
The tax on a commodity is diminished by 20% and its consumption increased by 25%. The effect on revenue is?
Choose the correct choice from the following options
A) 2% decrease
B) 8% decrease
C) 9% decrease
D) 0% No change
E) 2% decrease

Solution: 100 * 100= 
100 * 100 = 10_000
10000   80 * 125= 
80 * 125 = 10_000
10000   -----------   10000-----------0   100-----------?=> 0% No change   Answer: 0% No change
Answer: D
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train? Options:	A) 78.2 km/hr	B) 89.2 km/hr	C) 73.2 km/hr	D) 79.2 km/hr	E) 73.7km/hr

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 264)/20 = y   y = 22   Speed = 22 m/sec = 22 * 18/5= 
22 * 18/5 = 396/5 = around 79.2
79.2 km/hr.   Answer: 79.2 km/hr
Answer: D
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?	Choose the correct choice:
A) 20 B) 22 C) 24 D) 1 E) 30

Solution: Total # of codes possible is 3*3*3= 
3*3*3 = 27
27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even= (total) - (restriction) = 27 - 26= 
27 - 26 = 1
1.   Answer: 1.
Answer: D