divelab/Sys2Bench huggingface dataset:
Question: Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
Options:
A)30 km/hr
B)45 km/hr
C)60 km/hr
D)75 km/hr
E)65 km/hr
Rationale: Let the speed of the slower train be x
and the faster train = 2x
Relative speed = x+2x = 3x
therefore (100+100)/8 = 3x
=> x = 25/3
So, Speed of the faster train = 2(25/3) = 50/3 m/s = (50/3*18/5)km/hr = 60km/hr
ANSWER:C
Answer: C
Question: The total marks obtained by a student in Mathematics and Physics is 50 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Options:
A)15
B)25
C)35
D)45
E)55
Rationale: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 50 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (50 + 20) / 2 = 35.
ANSWER:C
Answer: C
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: 23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21)
= 2.
A)
Answer: A
Question: A number is increased by 40% and then decreased by 40%, the final value of the number is ?
Options:
A)decrease by 13%
B)decrease by 12%
C)decrease by 16%
D)decrease by 14%
E)decrease by 15%
Rationale: Here, x = 40 and y = - 40
Therefore, the net % change in value
= ( x + y + xy/100)%
= [40 - 40 + (40 * -40)/100]% or - 16%
Since the sign is negative, there is a decrease in value by 16%.
ANSWER: C
Answer: C
Question: Of the people who responded to a market survey, 150 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 5 to 1, how many people responded to the survey?
Options:
A)80
B)180
C)240
D)360
E)480
Rationale: Ratio = 5:1 => 5x respondents preferred Brand X and x preferred Brand Y
Since, no. of respondents who preferred Brand X = 150 => 5x=150 => x=30
Hence Total no. of respondents = 150 + 30 = 180
Hence B is the answer.
Answer: B
Question: A bag consists of 20 marbles, of which 5 are blue, 7 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Options:
A)3/4
B)2/4
C)1/4
D)1/8
E)1/16
Rationale: bag consists of 20 marbles, of which 5 are blue, 7 are red
remainder are white. So, white = 20 - 5 - 7 = 8.
probability that the marble will be red or white = probability that the marble will be red + probability that the marble will be white
probability that the marble will be red or white = 7/20+8/20 = 15/20 = 3/4
Hence, answer will be A.
Answer: A
Question: Exactly 36% of the numbers in set A are even multiples of 3. If 40% of the even integers in set A are not multiples of 3, what percent of the numbers in set A are not even integers?
Options:
A) 76%
B) 60%
C) 50%
D) 40%
E) 24%
Rationale: Everything is correct except the red part with a typo: it should be N=0.6A --> even numbers are 60% of A --> 40% of A are not even integers.
Answer: D.
Answer: D
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:
Options:
A)4 hours
B)7 hours
C)8 hours
D)14 hours
E)15 hours
Rationale: Work done by the leak in 1 hour = (1/2 - 3/7) = 1/14
Leak will empty the tank in 14 hrs.
Answer = D
Answer: D
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Options:
A)127
B)297
C)266
D)480
E)435
Rationale: 262 – 102 = 242
d1 = 20 d2 = 48
1/2 * 20 * 48 = 480
Answer: D
Answer: D
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 5?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: p is a positive even integer with a positive units digit--> the units digit of p can be 2, 4, 6, or 8 -->
In order the units digit of p^3 - p^2 to be 0, the units digit of p^3 and p^2 must be the same. Thus the units digit of p can be 0, 1, 5 or 6.
Intersection of values is 6, thus the units digit of p + 5 is 6 + 5 = 11.
Answer: E.
Answer: E
Question: Walking with 4/5 of my usual speed, I arrive at the bus stop 6 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
Options:
A)20 min
B)22 min
C)15 min
D)18 min
E)24 min
Rationale: Let t = usual time = distance / usual speed
t + 6 = distance / (4* usual speed/5) = (5 * distance) / (4 * usual speed) = 5t/4
t = 24
The answer is E.
Answer: E
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Options:
A)Rs.2.5
B)Rs.2.7
C)Rs.2.6
D)Rs.7.5
E)Rs.3.5
Rationale: 100*(20/100) = 20 --- 10
? --- 1 => Rs.2
100 --- 80
? --- 2 => Rs.2.5
Answer:A
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 30 miles ahead of Joe?
Options:
A)150
B)60
C)75
D)90
E)105
Rationale: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.
Teena covers 55 miles in 60 mins.
Joe covers 40 miles in 60 mins
So teena gains 15 miles every 60 mins
Teena need to cover 7.5 +30 miles.
Teena can cover 7.5 miles in 30 mins
Teena will cover 30 miles in 120 mins
So answer 30+120= 150 mins. (ANSWER A)
Answer: A
Question: What is the square root of 81?
Options:
A)2
B)8
C)12
D)9
E)16
Rationale: 9X9 = 81
ANSWER D
Answer: D
Question: Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many D hours does it currently take Anne to clean the house on her own?
Options:
A)6
B)7
C)8
D)12
E)14
Rationale: Lets suppose Anne and Bruce take A and B hrs working separately
So in 1 hour they can together finish 1/A + 1/B portion of the work which equals 1/4 (As the work is completed in 4 hours)
After anne doubles her rate of work the portion completed by the both is 1/A +2/B which is equal to 1/3 (As the work is completed in D=3 hours)
Solving these 2 equations we can find B as 12
So, D
Answer: D
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 50 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Options:
A)1000 min
B)1200min
C)1300 min
D)1400 min
E)1600 min
Rationale: volume of pool = 50*150*10 cu.ft , 80% full = 50*150*10*0.8 cu.ft water is available to drain.
draining capacity =60 cu.ft /min therefore time taken = 50*150*10*0.8/ 60 min= 1000min
A
Answer: A
Question: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Options:
A)$65
B)$55
C)$50
D)$60
E)$45
Rationale: 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 + 7] + [(1/3)F – 7] + [(1/2)F – 12]
F = (1/4)F + (1/3)F + (1/2)F – 12
Multiply all terms by 12 to clear the fractions.
12F = 3F + 4F + 6F – 144
12F = 13 F – 144
–F = – 144
F = 144
Well, if the fine cost $144, then Sam paid the part not covered by Joe or Peter. Half the fine is $72, and Sam paid $12 less than this: $60.
Answer = D
Answer: D
Question: A certain Dark Blue paint contains 40 percent blue pigment and 60 percent red pigment by weight. A certain green paint contains 40 percent blue pigment and 60 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Options:
A)3.5
B)4
C)4.5
D)3
E)5
Rationale: 10 Grams of combined mixture and 40% blue pigment means that the mixtures were mixed 50% each. Thus 5 grams a piece. Out of the 5 grams of the Dark Blue paint, 60% is red. Therefore, 5*.6 = 3 Grams of red pigment
Answer: D
Question: In a sale, a discount of 15% was available on all the articles. If Vinit purchased an article for Rs.4284 in the sale. What was the actual selling price of the article?
Options:
A)Rs.5050
B)Rs.5000
C)Rs.5040
D)Rs.4950
E)Rs.4870
Rationale: Explanation:
i.e. Rs.4284 = 85% of SP
:. SP = 4284 x 100/84 = Rs.5040.
Answer: Option C
Answer: C
Question: A certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Options:
A)25%
B)20%
C)50%
D)66 2/3%
E)75%
Rationale: General formula for percent increase or decrease, (percent change):
percent=Change/Original∗100
So, the time between maintenance checks increased by 30−25/25∗100=20
Answer: B.
Answer: B
Question: Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 40 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Options:
A)A) 5.61
B)B) 3.69
C)C) 10
D)D) 15
E)E) 24
Rationale: Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81
New time in minutes to cross 9 miles stretch = 9*60/40 = 9*3/2 = 13.5
Time difference = 3.69
Ans:B
Answer: B
Question: Solution A is 40% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
Options:
A)6:4
B)6:14
C)4:4
D)4:6
E)3:1
Rationale: Forget the volumes for the time being.
You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use
w1/w2 = (A2 - Aavg)/(Aavg - A1)
w1/w2 = (80 - 50)/(50 - 40) = 3/1
So the volume of the two solutions will be equal. Answer has to be 3:1.
E
Answer: E
Question: How many integers between 334,700 and 458,600 have tens digit 1 and units digit 3?
Options:
A)10,300
B)10,030
C)1,353
D)1,352
E)1,239
Rationale: There is one number in hundred with 1 in the tens digit and 3 in the units digit:13, 113, 213, 313, ...
The difference between 334,700 and 458,600 is 458,600-334,700=123,900 - one number per each hundred gives 123,900/100=1,239 numbers.
Answer: E.
Answer: E
Question: Homer wants to read 2 books from his collection. He has 6 adventure books and 4 horror books. He chooses 2 books randomly and simultaneously. What is the probability that he chose 1 adventure book and 1 horror book?
Options:
A)16/25
B)24/45
C)7/8
D)12/105
E)10/24
Rationale: The probability is equal to the number of desired choices divided by the total number of possibilities.
Probability = Favorable/Total
Total = 10C2 = 10*9/2 = 45
Favorable:
Pick 1 adventure book out of 6 adventure books
AND
Pick horror book out of 4 horror books
6C1*4C1 = 6*4=24
P=24/45
When you use combination method, it is picking all possible cases and the order doesn't matter. Whereas, upon choosing probability method to solve, order matters.
Thus,
Total Probability:
Probability of choosing an adventure book first AND Probability of choosing a horror book
OR
Probability of choosing a horror book first AND Probability of choosing an adventure book
Answer: B
Answer: B
Question: A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)87 Kmph
B)97 Kmph
C)72 Kmph
D)28 Kmph
E)108 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 600/20
S = 30 M/Sec
Speed= 30*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 108 Kmph
Answer: E
Answer: E
Question: 90% of the labours of a factory is 2700. The total labours of the factory is?
Options:
A)2900
B)3000
C)3100
D)3050
E)2950
Rationale: X * (90/100) = 2700
X = 30 * 100
X = 3000
Answer: B
Answer: B
Question: The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
Options:
A)1/(XY)
B)X/Y
C)Y/X
D)1/(X+Y)
E)1/(X-Y)
Rationale: Probability of A and B:
When two events are independent, the probability of both occurring is the product of the probabilities of the individual events: P(A and B)=P(A)∗P(B)P(A and B)=P(A)∗P(B)
P(break & black) = P(break) * P(black) --> 1/y=P(break)*1/x --> P(break)=x/y.
Answer: B.
Answer: B
Question: At a meeting of 10 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
Options:
A)263,320
B)271,180
C)282,240
D)291,470
E)308,560
Rationale: 10 people can be arranged around a table in 9! ways.
Consider the two chiefs who will not sit together as a single unit.
The number of ways to arrange 9 units around a table is 8!
We need to multiply this by 2 as the two people can be switched in each arrangement.
The total number of ways to arrange the chiefs is 9! - 2*8! = 7*8! = 282,240
The answer is C.
Answer: C
Question: In what time will a train 40 m long cross an electric pole, it its speed be 144 km/hr?
Options:
A)2.5 sec
B)1.0 sec
C)7.5 sec
D)2.3 sec
E)1.5 sec
Rationale: Speed = 144 * 5/18
= 40 m/sec
Time taken = 40/40
= 1.0 sec.
Answer:B
Answer: B
Question: John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?
Options:
A)78%
B)66%
C)62%
D)64%
E)60%
Rationale: Let N be the total number of books sold. Hence
N = 62 + 62 + 60 + 48 + 40 = 272
Let M be the books NOT sold
M = 800 - N = 1400- 272= 528
Percentage
Books not sold / total number of books = 528/800= 0.66 = 66%
correct answer B
Answer: B
Question: In the first quarter of 2008, Harry's Hardware Store sold 300 hammers and 12,000 nails. In the second quarter of 2008, the store sold 375 hammers and 18,000 nails. By approximately what percent did the ratio of hammers sold to nails sold decrease from the first quarter to the second quarter.
Options:
A)0.4%
B)2.1%
C)2.5%
D)17%
E)25%
Rationale: 1st quarter: hammers/nails = 300/12,000 = 150/6000
2nd quarter: hammers/nails = 375/18,000 = 125/6000
ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.
So, our ratio went from 150/6000 to 125/6000
Ignoring the denominators, we went from 150 to 125
The percent change = 100(difference in values)/(original value)
= (100)(150 - 125)/150
= (100)(25)/150)
= (100)(1)/(6)
= 100/6
≈ 16.666 ;
ANSWER:D
Answer: D
Question: Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
A)13 Kmph
B)14 Kmph
C)15 Kmph
D)11 Kmph
E)10 Kmph
Rationale: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph
ANSWER IS C
Answer: C
Question: A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $5,630. By how much was the project over its budget?
Options:
A) $380
B) $540
C) $1,050
D) $1,380
E) $1,430
Rationale: Difficulty level: 600
Each month's budget = 12600/12 = 1050
Budget for 4 months = 4*1050 = 4200
Actual amount spent = 5630
Amount spent over the budget = 5630 - 4200 = 1430
Answer (E),
Regards,
Answer: E
Question: P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work?
Options:
A)11 days
B)16 days
C)40 days
D)15 days
E)19 days
Rationale: B
16 days
P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 10 days, which means Q can do the work in 4*10 =40 days.
Answer : C
Answer: C
Question: The average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Options:
A)100 kg
B)80 kg
C)105 kg
D)90 kg
E)None
Rationale: Solution
Total weight increased	= (8 x 5)kg
= 40 kg.
Weight of new person	= (65 + 40)kg
= 105 kg.
Answer C
Answer: C
Question: How many even integers n, such that 20<=n<=220 are of the form 3k+4, where k is any natural number?
Options:
A)28
B)31
C)34
D)37
E)40
Rationale: The first number is 22 = 16+6(1).
We can continue adding 6 to make a list: 22, 28, 34,...
The last number is 220 = 16+6(34)
There are 34 numbers in the list.
The answer is C.
Answer: C
Question: John has 10 pairs of matched socks. If he loses 5 individual socks, what is the greatest number of pairs of matched socks he can have left?
Options:
A) 8
B) 7
C) 5
D) 4
E) 3
Rationale: Because we have to maximize the pair of matched socks, we will remove 2 pairs(4 socks) out of 10 pairs 1 sock from the 3th pair.
Thus the no of matching socks pair remaining = 10 - 3= 7
Answer B
Answer: B
Question: If a copier makes 5 copies every 5 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies?
Options:
A)100
B)200
C)150
D)125
E)130
Rationale: 5 copies 5 seconds
6000 copies = (6000*5)/5seconds
= 6000/60 minutes
= 100 minutes
Answer : B
Answer: B
Question: Souju's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is her present age?
Options:
A)50 years
B)62 years
C)56 years
D)60 years
E)76 years
Rationale: Let the age before 10 years =x. Then,
125x/100=x+10
â‡’125x=100x+1000
â‡’x=1000/25=40
Present age =x+10=40+10=50
ANSWER:A
Answer: A
Question: e.	Janet has to pay back her bank loan over 11 months following the below sequence.
$50, $55, $65, $80, $85, $95, $110, $115, $125, $140, ?
How much will she pay back on the eleventh month?
Options:
A)$155
B)$145
C)$135
D)$125
E)$130
Rationale: The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 11th Month is $145
Ans B = $145
Answer: B
Question: If a survey shows that 30 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
Options:
A) 56%
B) 64%
C) 72%
D) 85%
E) 86%
Rationale: 30 out of 200 supports the bill and we are asked to find the percent who the does not support the bill.
3028 out of 200 supports the bill = 15 out of 100 supports the bill ( taking in % terms )
14 out of 100 supports the bill = 85 (100-15) doesn't support the bill
So, answer is (D) 85%
Answer: D
Question: A football team lost 5 yards and then gained 13. What is the team's progress?
Options:
A)2
B)4
C)5
D)6
E)8
Rationale: For lost, use negative. For gain, use positive.
Progress = -5 + 13 = 8 yards
E
Answer: E
Question: The average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg. What might be the weight of the new girl?
Options:
A)90 kg
B)100 kg
C)95 kg
D)85 kg
E)92 kg
Rationale: Total weight increased = 10 x 5 kg = 50 kg.
Weight of new person = 50 + 50 kg =100 kg
Answer : B
Answer: B
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 3 more than the average expenditure of all the nine. The total money spent by all of them was
Options:
A)26
B)40
C)29.25
D)30.375
E)None of the above
Rationale: Let the average expenditure of all the ninte be x
Then, 3 × 8 + x + 3 = 9x
⇒ x = 3.375
∴ Total money spent = 9x = 9 × 3.375 = 30.375
Answer D
Answer: D
Question: In a sports club with 30 members, 17 play badminton and 21 play tennis and 2 do not play either. How many members play both badminton and tennis?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(17-x)+(21-x)+x+2=30
40-2x+x=30
40-x=30
x=10
So 10 members play both badminton and tennis.
D
Answer: D
Question: How many three letter words are formed using the letters of the word TIME?
Options:
A)12
B)65
C)26
D)24
E)71
Rationale: The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is 4P3
= 4 * 3 * 2 = 24.
Answer: D
Answer: D
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Options:
A)1261
B)887
C)2889
D)277
E)2991
Rationale: A = 8000(21/20)3
= 9261
= 8000
---------
1261.Answer:A
Answer: A
Question: If y>x>0, which of the following must be true:
I. x^2>y^2
II. x^3 > y^3
III. |x|<y
Options:
A)I only
B)II only
C)III only
D)II and III
E)I, II and III
Rationale: Assuming x and y to be integers
X=3,Y=2
X^2=3^2=9
Y^2=2^2=4
So I is true
Now lets look at option III because if option 3 is true E is the answer or else A
As per question X>Y>0 Hence |X| >Y
So OA=C
Answer: C
Question: A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
Options:
A)1 in 16
B)1 in 4
C)1 in 8
D)1 in 32
E)1 in 3
Rationale: 1/(2^2)=1in4
ANSWER:B
Answer: B
Question: A person borrows 1000000 for 7 years at 3% p.a. simple interest. He immediately lends it to another person at 5 % p.a. for 7 years. Find his gain in the transaction per year.
Options:
A)20068
B)20050
C)20000
D)25000
E)28000
Rationale: Gain in 7 years
= [(1000000Ã—5Ã—7/100)âˆ’(1000000Ã—7Ã—3/100)]
= (350000 â€“ 210000) = 140000
âˆ´ Gain in 1 year = (140000/7) = 20000
Answer C
Answer: C
Question: 61 + 5 * 12 / (180/3) = ?
Options:
A)22
B)77
C)29
D)62
E)21
Rationale: 61 + 5 * 12 / (180/3) = 61 + 5 * 12 / (60)
= 61 + (5 * 12)/60 = 61 + 1 = 62.Answer:D
Answer: D
Question: Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Options:
A)126
B)230
C)120
D)144
E)250
Rationale: 3/7 x â€“ 40/100 x = 12
x = 35 * 12
35 * 12 * 60/100 = 252/2 = 126
ANSWER A
Answer: A
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?
Options:
A)40%
B)44%
C)48%
D)52%
E)56%
Rationale: The number of gallons in the tank is (1/4)24 = 6 gallons
The amount of sodium chloride is 0.4(6) = 2.4 gallons
At the start, the amount of water is 0.6(6) = 3.6 gallons
After 4 hours, the amount of water is 3.6 - 0.5(4) = 1.6 gallons
The concentration of water is 1.6 / (2.4+1.6) = 40%
The answer is A.
Answer: A
Question: Today my car meter reads as 72227 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
Options:
A)700 kms
B)625 kms
C)600 kms
D)210 kms
E)120 kms
Rationale: A
700 kms
72227 +700 = 72927 , a palindrome
Answer: A
Question: A man crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Options:
A)7.2
B)8.2
C)3.5
D)4.5
E)6.5
Rationale: speed = (600/5*60)sec
=2m/sec
=(2*18/5)=7.2km/hr
ANSWER A
Answer: A