divelab/Sys2Bench huggingface dataset:
Question: Two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Options:
A)28
B)266
C)990
D)20
E)23
Rationale: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 180 + 280 = 460 m.
The time required = d/s = 460/20 = 23 sec.
Answer: E
Answer: E
Question: A trader bought a car at 30% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)118
B)110
C)112
D)113
E)98
Rationale: Original price = 100
CP = 70
S = 70*(140/100) = 98
100 - 112 = 2%
Answer: E
Answer: E
Question: If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s>v
ii. u is not equal to v
iii. s > u
Options:
A)None
B)I only
C)II only
D)III only
E)I and III
Rationale: Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. s, u, and v are positive integers.
Given: 2s=2u+2v --> s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I and III is always true. As for II: it's not necessarily true, for example 4=2+2.
Answer: E
Answer: E
Question: A team of five entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Options:
A)288
B)413
C)168
D)127
E)664
Rationale: Explanation:
5 * 84 = 420 - 7 = 413
Answer:B
Answer: B
Question: A box contains eight bulbs out of which three are defective. If three bulbs are chosen at random, find the probability that all the three bulbs are defective?
Options:
A)1/56
B)1/22
C)1/29
D)1/36
E)1/12
Rationale: Out of eight, five are good and three are defective. Required probability
= 3C3/8C3
= 1/56
Answer:A
Answer: A
Question: The weight of a glass of jar is 40% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Options:
A)1/5
B)1/3
C)2/5
D)1/2
E)2/3
Rationale: Let weight of jar filled with beans = 100 g
Weight of jar = 40 g
Weight of coffee beans = 60 g
Weight of jar and remaining beans = 60 g
Weight of remaining beans = 20 g
Fraction remaining = 20/60 = 1/3
Answer is B.
Answer: B
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr the distance travelled downstream in 12 minutes is :
Options:
A)2 km
B)2.6 km
C)3.6 km
D)4 km
E)None
Rationale: Sol.
Speed downstream = (15 + 3) kmph = 18 kmph.
Distance travelled = [18 * 12/60] km = 3.6 km.
Answer C
Answer: C
Question: In a 1000 m race, A beats B by 60 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Options:
A)154 m
B)176 m
C)268 m
D)129 m
E)218 m
Rationale: By the time A covers 1000 m, B covers (1000 - 60) = 940 m.
By the time B covers 1000 m, C covers (1000 - 100) = 900 m.
So, the ratio of speeds of A and C =
1000/940 * 1000/900 = 1000/846 So, by the time A covers 1000 m, C covers 846 m.
So in 1000 m race A beats C by 1000 - 846 = 154 m.
Answer:A
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Options:
A)20 years
B)21 years
C)22 years
D)23 years
E)24 years
Rationale: Explanation:
Let the average age of the whole team by x years.
11x – (26 + 29) = 9(x -1)
11x – 9x = 46
2x = 46
x = 23.
So, average age of the team is 23 years.
Answer D
Answer: D
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Options:
A)Rs.7
B)Rs.4
C)Rs.9
D)Rs.3
E)Rs.2
Rationale: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3
Answer: D
Answer: D
Question: If (A+B) = 5, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Options:
A)16.
B)8.
C)7.
D)2.
E)-1.
Rationale: Given A+B =5
B+C = 9
C+D = 3
(A+B)-(B+C)+(C+D)=(A+D)
=> 5 - 9+3 = -1.
Option E...
Answer: E
Question: A club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly A new members into the club. If B is the number of new members brought into the club during the twelfth week, which of the following could be B?
Options:
A) 5^1/12
B) 3^11 * 5^11
C) 3^12 * 5^12
D) 3^11 * 5^12
E) 60^12
Rationale: At the end of the first week, there are 5 new members;
At the end of the second week, there are 5A new members (since each 5 new members from the previous week brings A new members);
At the end of the third week, there are 5A^2 new members (since each 5A new members from the previous week brings A new members);
...
At the end of the twelfth week, there are 5A^11 new members (since each 5A^10 new members from the previous week brings A new members).
We are given that 5A^11=B. Out of the answers only D yields integer value for A: 5A^11=3^11 * 5^12 --> A=3*5=15.
Answer: D.
Answer: D
Question: Rita was running on a 500 metre track at a rate of 100 metres per minute. One minute after Rita started, Liz started running from the same starting point on the track at 150 metres per minute. What is the shortest time that Liz could run on the track in order to meet up with Rita?
Options:
A)4 minutes
B)3 minutes
C)2 minutes
D)1.6 minutes
E)1 minute
Rationale: we don't need to assume here the direction.we need to find which will take less time
so there are 2 cases
1)both moving in same direction...then time would be 2 minutes
2)both moving in opposite direction then time would be 1.6 minutes
as we need the shortest time it would be the second case
Answer:D
Answer: D
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 25% chemical X and 75% chemical Y, then what percentage of the resulting mixture is chemical X?
Options:
A)28%
B)32%
C)36%
D)40%
E)44%
Rationale: The amount of chemical X in the solution is 20 +0.25(80) = 40 liters.
40 liters / 100 liters = 40%
The answer is D.
Answer: D
Question: Two trains start from A & B and travel towards each other at
speed of 50kmph and 60kmph resp. At the time of the meeting the
second train has traveled 100km more than the first.the distance
between them.
Options:
A)800 km
B)900 km
C)1000 km
D)1100 km
E)1200 km
Rationale: Let the distance traveled by the first train be x km
then distance covered by the second train is x + 100km
x/50 = x+100 / 60
x= 500
so the distance between A & B is x + x + 100 = 1100 km
Answer is D.
Answer: D
Question: John is going with 10 friends on a trip to Sidney for spring break. Airfare and hotel costs a total of $12100.00 for the group of 11 friends. How much does each person have to pay for their hotel and airfare?
Options:
A)$1010
B)$1100
C)$1110
D)$1101
E)$1200
Rationale: Answer= B
The total cost of the trip ($12100.00) divided by 11 equals $1100.00.
Answer: B
Question: 6000 - 5000 ÷ 20.00 = ?
Options:
A)900
B)500
C)5750
D)5000
E)None
Rationale: Answer
Given expression =6000-5000 ÷ 20.00
= 6000-250
=5750
Correct Option:C
Answer: C
Question: If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 3?
Options:
A)-1
B)0
C)4
D)2
E)3
Rationale: Answer
x = 1 + √2
∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 3
= x2(x - 2)2 + 3
= (1 + √2)2(1 + √2 - 2)2 + 3
=(√2 + 1)2 (√2 - 1)2 + 3
=[(√2)2 - (1)2]2 + 3
=(2 - 1)2 =1 + 3=4
Correct Option: C
Answer: C
Question: In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
Options:
A)2160
B)2420
C)2834
D)3150
E)3250
Rationale: Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of A and B be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k * 8720 = 2834
The number of valid votes polled in favour of B is 2834.
ANSWER:C
Answer: C
Question: If $30,000 interest is invested in x percent simple annual interest for 5 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Options:
A)2000x
B)3000x
C)4500x
D)1200x
E)1500x
Rationale: 30000*x/100*5 = 1500 x
Answer : E
Answer: E
Question: In what time a sum of money double itself at 3% per annum simple interest?
Options:
A)33 1/7%
B)33 1/3%
C)33 1/2%
D)33 7/3%
E)33 5/3%
Rationale: P = (P*3*R)/100
R = 33 1/3%
Answer: B
Answer: B
Question: Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)
Options:
A)If x>y
B)If x>=y
C)If x < y
D)If x<=y
E)x=y or relationship cannot be established
Rationale: Solution:-
X= +27, -27
Y= +27
D
Answer: D
Question: If x/y = 3/z, then 4x^2 =
Options:
A)y/z
B)xy
C)y²/z²
D)36y²/z²
E)15y²/z²
Rationale: This question is most easily solved by isolating y in the equation and substituting into the expression 4x²:
x/y = 3/z
x = 3y/z
If we substitute 3y/z into the expression for x, we get:
4(3y/z)² = 4(9y²/z²) = 36y²/z².
The correct answer is choice (D).
Answer: D
Question: If the sum of the first n positive integers is S, what is the sum of the first n positive integers divisible by 3, in terms of S ?
Options:
A) S/2
B) S
C) 2S
D) 3S
E) 4S
Rationale: Answer is D
Given sum of 1 2 3.....n = S
sum of 3 , 6 , 9 ....3n = 3[sum(1 2 3....n) ] = 3S
Answer: D
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters K long?
Options:
A)0.5
B)1
C)1.5
D)2
E)3
Rationale: Let x be the number of desks and bookcases that are placed along the library wall.
2x + 1.5x < 15
3.5x < 15
Since x is a non negative integer, the largest number x can be is 4.
When x is 4, the desks and bookcases take up 3.5 * 4 = 14m=K, leaving 1m of empty space.
Thus, I believe the answer is B) 1
Answer: B
Question: 20 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Options:
A)144
B)131
C)330
D)390
E)445
Rationale: there are 20 business exec and in each handshake 2 business execs are involved.
hence 20C2=190
Also, each of 20 exec will shake hand with every 7 other chairmen for total of 140 handshake.
total=190+140=330
ANS: C
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)225
B)240
C)288
D)267
E)211
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 21)m = 315 m. Let the length of the platform be x meters. Then, (x + 315)/36 = 15 ==> x + 315 = 540 ==> x = 225 m.Answer: A
Answer: A
Question: A, B, C are three consecutive positive integers (A>B>C). What is the value of the expression 2A +B +2C?
Options:
A)6A+7.
B)5A+1.
C)5A-5.
D)6A-5.
E)6A-7.
Rationale: B = A-1
C= A-2
Putting these values in 2A +B +2C we get 5A-5
C is the answer
Answer: C
Question: The average weight of 7 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Options:
A)76 kg
B)77 kg
C)75.5 kg
D)Data inadequate
E)None of these
Rationale: total weight increases = 7 × 1.5 = 10.5 kg
so the weight of new person = 65 + 10.5 = 75.5 kg
Answer C
Answer: C
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 7 letters in its codes, and all letters can be repeated in any one code?
Options:
A)A.17576
B)B.456976
C)C.11881376
D)D.308915776
E)E.8353082582
Rationale: The no of ways in which the company can make codes of 1 letter : 26
# for 2 letters : 26*26 = 676
# for 3 letters : 26 * 26*26 =17576
# for 4 letters : 26 * 26*26*26 =456976
# for 5 letters : 26 * 26*26*26*26 =11881376
# for 6 letters : 26 * 26*26*26*26*26 =308915776
# for 7 letters : 26 * 26*26*26*26*26*26 =8031810176
The total : By adding all of them , 26+676+17576+456976+11881376+308915776+8031810176
=8353082582
E
Answer: E
Question: If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'5" tall, which of the following is the median height of the children?
Options:
A)2'5"
B)2'6"
C)3'3"
D)3'4"
E)4'3
Rationale: Total number of children in class = 20
so median must be between 10th and 11th child when they are arranged in ascending order.
When arranged in ascending order 5th and 6th child will have the height of 3'4"
so required median height = (2'5"+2'5")/2 = 2'5"
Ans:Option A
Answer: A
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/2 of the remaining balance, what will be the final balance in her bank account?
Options:
A)300
B)375
C)450
D)500
E)575
Rationale: As per the question 200=2a/5
thus- a which is the total amount =500
The amount thus left =300
She then deposited 1/2 of 300=150
total amount in her account =450
Answer C
Answer: C
Question: Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
Options:
A)48
B)24
C)38
D)36
E)35
Rationale: Explanation:
Less Cogs more turns and less time less turns
Number of turns required=80 Ã— Ã— = 24 times
ANSWER IS B
Answer: B
Question: A store sells a certain product at a fixed price per unit. At the product's current price, A units cost a total of exactly $300. If the price were lowered by $5 from its current value, then A + 2n units would cost exactly $300; if the price were raised by $5, then A – n units would cost exactly $300. What is the value of A?
Options:
A)10
B)15
C)20
D)25
E)30
Rationale: It got too complicated when I used algebra. Using plugging in, it was quite fast.
Price Quantity total value
p a pa = 300
p-5 a+2n (p-5)(a+2n) = 300
p+5 a-n (p+5)(a-n) = 300
Solving three equations for three unknowns. Tough!!
Plugging in, I always start with C. C was the answer here, so saved calculation!
Putting values in above equations:
Price Quantity total value
15 20 300
10 20+2n 300 -> 10(20 + 2n)=300 -> 200 +20n = 300 -> 20n = 100 -> n =5
20 15 300
So a = 20 satisfies all equations!!
Answer: C
Question: The average weight of 46 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?
Options:
A)51 1⁄23
B)52 15/23
C)52 15⁄3
D)43.42
E)None of these
Rationale: Total weight of 46 students
= 46 × 52 = 2392 kg
Total weight of 5 students who leave
= 5 × 48 = 240 kg
Total weight of 5 students who join
= 5 × 54 = 270 kg
Therefore, new total weight of 46 students
= 2392 – 240 + 270 = 2422
⇒ New average weight = 2422⁄46 = 52 15/23 kg
Answer B
Answer: B
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Options:
A)14
B)144
C)777
D)992
E)221
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.
Hence the total ways are 24 * 6 = 144.
Answer:B
Answer: B
Question: If 72/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer.
II. 12/x is an integer.
III. 36/x is an integer.
Options:
A)III only
B)I and II only
C)I, II, and III
D)II and III only
E)I only
Rationale: The largest possible value of x is 36 (the greatest common factor of 72 and 108), and if x=36 then
A
Answer: A
Question: Which of the following equations has a solution in common with 2x^2 - 5x - 42?
Options:
A)2x^2 + 8x - 42 = 0
B)x^2 - 14x + 24 = 0
C)2x^2 - 8x + 8 = 0
D)x^2 + 13x + 13 = 0
E)none of the above
Rationale: Given : 2x^2 - 5x - 42 => (2x + 7) (x - 6) = 0 => -7/2 and 6 are the roots..
A. 2x^2 + 8x - 42 = 0 => (2x - 6) (x + 7)
B. x^2 - 14x + 24 = 0 => (x - 6) (x - 8)
C. x^2 + 13x + 13 = 0 => (2x -7) ( x - 1)
D. x^2 + 13x + 13 = 0 => (x + 6) (x + 7)
None of the answer equations have exactly both the same roots as the question equation, but at least one of them does share one of the two roots.
So IMO "B" is correct answer... because it shares the one root (part of the solution), -3, from the (x+3) portion of its factoring
Answer: B
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Options:
A)7
B)10
C)12
D)13
E)14
Rationale: Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Answer: Option B
Answer: B
Question: There are 48 students in a class. Find the numbers of ways in which a committee of 2 students is to be formed?
Options:
A)1128
B)1978
C)2546
D)3121
E)2400
Rationale: Required number of ways = 48C2 = 48*47 / 2 = 1128
Answer is A
Answer: A
Question: A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?
Options:
A)1:00 P.M.
B)2:00 P.M
C)1:30 P.M.
D)2:30 P.M.
E)12:30 P.M.
Rationale: (P + Q + R)'s 1 hour's work =	(	1	+	1	+	1	)	=	37	.
8	10	12	120
Work done by P, Q and R in 2 hours =	(	37	x 2	)	=	37	.
120	60
Remaining work =	(	1 -	37	)	=	23	.
60	60
(Q + R)'s 1 hour's work =	(	1	+	1	)	=	11	.
10	12	60
Now,	11	work is done by Q and R in 1 hour.
60
So,	23	work will be done by Q and R in	(	60	x	23	)	=	23	hours = 2 hours.
60	11	60	11
So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.
Option A
Answer: A
Question: In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 3 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Options:
A)d = (p-0.03)/1.18
B)d = p/1.21
C)d= (p-0.18)/1.03
D)d = p-0.20
E)d = p/1.03 - 0.18
Rationale: Let dealers price (d) be 1. so adding 3% to dealers price is d+ 3% of d. i.e. 1 + 3% of 1 which is1 + 0.03. then add 0.18 to the value.
Now 1.03 + 0.18. this is now 1.21. you have the gasoline stations price (p) as 1.21 dollars.
Now sub 1.21 in the options to know which option gave you d = 1. d must equal 1 because you earlier picked 1 as the value of d in the question.
PS: always remember to start from E upwards.
Answer : C
Answer: C
Question: How many squares are there between 2011 to 2300 ????
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: nos. are 2025, 2116, 2209
Answers is 3
ANSWER:A
Answer: A
Question: A man sold 10 eggs for 5 rupees and gained 20%. How many eggs did he buy for 5 rupees?
Options:
A)10 eggs
B)12 eggs
C)14 eggs
D)16 eggs
E)None of these
Rationale: S.P. for 1 egg = 5⁄10 = 1⁄2
∴ C.P. for 1 egg = 100/(100+20)×12=512
⇒ He bought 12 eggs for 5 rupees.
Answer B
Answer: B
Question: (√27+√243)/√75=?
Options:
A)2√2
B)2√3
C)3√2
D)3√3
E)12/5
Rationale: (√27+√243)/√75
=(3√3+9√3)/5√3
=12√3/5√3
=12/5.
Hence, the correct answer is E
Answer: E
Question: Two sets of 4 consecutive positive even integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Options:
A)14
B)7
C)18
D)24
E)it cannot be determined from the information given.
Rationale: A=(2,4,6,8), sum of this=20
B=(8,10,12,14), sum of this=44,
The differenct between 44-20=24
Hence,24 is the answer i.e.D
Answer: D
Question: In order to fulfill a local school’s request for a cakes, B parents agreed to each bake an equal number of cakes. If p of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for a cakes to be fulfilled?
Options:
A)pa/(B(B-p))
B)pa/2
C)pa/B
D)p/B-p
E)pa/B
Rationale: No of cakes each parent has to bake : a/B
No of parents did not bake cake = p
No of cakes that were not baked by p parents = p*a/B
No of parents has to bake additional cakes = B-p
additional number of cakes that each of the other parents had to bake in order for the school’s request for a cakes = pa/(B(B - P))
Answer A
Answer: A
Question: How many 1/2s are there in 37 1/2?
Options:
A)75
B)150
C)300
D)600
E)700
Rationale: Required number = (75/2)/(1/2)
= (75/2 x 2/1)
= 75
ANSWER:A
Answer: A
Question: Find the odd one out:
125, 106, 86, 76, 65, 58, 53
Options:
A)33
B)86
C)26
D)18
E)222
Rationale: Explanation:
This sequence represents a series in which from the reverse order a prime number is added:
53+5=58
58+7=65
65+11=76
76+13=89
89+17=106
106+19=125
Hence 86 is the answer.
ANSWER: B
Answer: B
Question: FIND THE ODD NUMBER:
1,5,11,17,23,29
Options:
A)1
B)3
C)4
D)6
E)7
Rationale: Explanation:
All the given numbers are prime numbers.
1 is not a prime number because it is divisible by only one factor that is 1.
ANSWER: A
Answer: A
Question: How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Options:
A)360
B)817
C)145
D)346
E)342
Rationale: The given digits are six.
The number of four digit numbers that can be formed using six digits is ⁶P₄
= 6 * 5 * 4 * 3
= 360.
Answer: A
Answer: A
Question: The sum of all the integers k such that –25 < k < 24 is
Options:
A)0
B)-2
C)-25
D)-49
E)-47
Rationale: -24------------------0-----------------23
values upto+23 cancels outwe are left with only -24-23 sum of which is - 47. hence option D.
E
Answer: E
Question: Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 50% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Options:
A)$20
B)$40
C)$50
D)$80
E)$100
Rationale: Deargoodyear2013,
I'm happy to help.This is a relatively straightforward problem, not very challenging. BTW,Crazy Eddiewas the actually name of an electronics chain on the East Coast of the USA back in the 1970s.
Manufacturing now is $50. They now are making a 50% profit, so the selling price must be $100.
They had this same selling price, $100, before they made the change, and had a profit of 50%, so the manufacturing must have been $50. Answer = (C).
Answer: C
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 45000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Options:
A)10
B)20
C)30
D)60
E)80
Rationale: 0.036*10^5 can be written as 3600
45000*10^(-3) can be written as 45
Required= 3600/45= 80
ANSWER:E
Answer: E