divelab/Sys2Bench huggingface dataset:
Question: A tradesman by means of his false balance defrauds to the extent of 22%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Options:
A)56.25%
B)49.56%
C)84.46%
D)24.50%
E)45.35%
Rationale: g% = 25 + 25 + (25*25)/100
= 56.25%
Answer: A
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 225 m and they cross each other in 18 sec, then the speed of each train is?
Options:
A)22
B)77
C)36
D)88
E)45
Rationale: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (225 + 225)/18 => x = 25/2
Speed of each train = 25/2 m/sec.
= 25/2 * 18/5 =- 45 km/hr.Answer: E
Answer: E
Question: Divide $1000 among A,B in the ratio 1:3. How many $ that A get?
Options:
A)$50
B)$500
C)$150
D)$250
E)$600
Rationale: Sum of ratio terms = 1+3 = 4
A = 1000*1/4 = $250
Answer is D
Answer: D
Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Options:
A)1
B)4
C)9
D)13
E)16
Rationale: Number of cups flour needed for 3 ounces of butter = 4
Number of cups flour needed for 1 ounce of butter = 4/3
Number of cups flour needed for 12 ounces of butter = 4/3 * 12 = 16
Answer E
Answer: E
Question: Average temperature of first 4 days of a week is 6°C and that of the last 4 days is 40.3°C. If the average temperature of the week be 39.1°C, the temperature on 4th day is?
Options:
A)36.7°C
B)38.6°C
C)39.8°C
D)41.9°C
E)51.9°C
Rationale: Let temperature on 4th day be X°C
Therefore, 4 x 38.6 + 4 x 40.3 - X = 7 x 39.1
=> X = 41.9
Therefore, temperature on 4th day = 41.9°C.
ANSWER:D
Answer: D
Question: If the price of an item is decreased by 40% and then increased by 40%, the net effect on the price of the item is
Options:
A)A decrease of 99%
B)No change
C)A decrease of 16%
D)A increase of 1%
E)none
Rationale: initially assume 100 rupees
40% discount in 100 gives price of 60 rupees
then 40% raise in 60 is only 24 rupees.
therefore total price =84 rupees.
hence 16% is the loss
ANSWER:C
Answer: C
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Options:
A)5%
B)8%
C)9%
D)4%
E)1%
Rationale: 160 = (180*4*R)/100
R = 5%
Answer: A
Answer: A
Question: In a box, there are 20 red, 15 blue and 10 green balls. One ball is picked up randomly. What is the probability that it is green?
Options:
A)1/3
B)2/5
C)3/7
D)2/9
E)1/5
Rationale: Total number of balls = 20+15+10 = 45
E = event that the ball drawn is green = 10
n(E) = 10
P(E) = 10/45 = 2/9
Answer is D
Answer: D
Question: A cab driver 5days income was $40, $50, $60, $65 , $80. Then his average income is?
Options:
A)A)$58
B)B)$42
C)C)$65
D)D)$59
E)E)$62
Rationale: avg = sum of observations/number of observations
avg income=(40+50+60+65+80)/5 = 59
Answer is D
Answer: D
Question: A 18% stock yielding 12% is quoted at:
Options:
A)s. 83.33
B)s. 110
C)s. 112
D)s. 120
E)s. 150
Rationale: Income of Rs 12 on investment of Rs 100
Income of Rs 18 on investment of ?
= (18*100)/12=150
ANSWER:E
Answer: E
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Options:
A)5 : 12
B)5 : 13
C)5 : 167
D)5 : 19
E)5 : 16
Rationale: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 4096 = 212
a = (212)1/2 = 26 = 64
L = 2a and b = a - 24
b : l = a - 24 : 2a = 40 : 128 = 5 : 16
Answer: Option E
Answer: E
Question: An article was bought for 2000 and sold for 2200. Find the gain or loss.
Options:
A)200
B)300
C)400
D)500
E)600
Rationale: Sol. C.P. of the article = 2000
S.P. of the article = 2200
Since S.P. > C.P. So there is gain.
Gain (profit) = S.P. – C.P.
=2200 –2000 =200 Answer A
Answer: A
Question: One out of every 4000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Options:
A)450
B)900
C)90,000
D)1800,000
E)900,000
Rationale: (D) Read the whole question to get the feel of what they are asking you to find. Then start with the smallest amount and work your way outwards. We are told that two out of every 30 defective chips have a defective processor. Let x be the total number of defective processors in the batch. Because we know 2 out of every 30 defective chips will have defective processors, and the total number of defective processors in the batch is 30, we can write out an equation: (2/30)x = 30. This can be simplified to (1/15)x = 30. Multiplying each side by 15, we arrive at x = 450. This tells us that there are 450 defective chips in the whole batch. Because we know that 1 out of every 1000 chips is defective, we can set up a proportion. If 1 out of every 4000 chips is defective, then 450 out of y chips would be defective, where y is the total number of chips in the batch. This can be set up as an equation as follows: 1/4000 = 450/y. Solve for y and you will get the total number of chips in the batch: 1800,000.
The answer is (D).
Answer: D
Question: At an art exhibit the entrance costs is $1.15 per person, and every print sold costs $5. Assuming that you bought prints that came in a bag that could hold 12, and another that holds %50 more. How much money do you end up spending all together at the exhibition?
Options:
A)180
B)181.15
C)1.15
D)81.15
E)200.15
Rationale: Entrance fee is $1.15.
total prints bought is 12 + (1.50*12)= 36
Total prints cost 36* $5= $180.
Total spent at exhibit is $1.15 + $180= $181.15
Answer is B.
Answer: B
Question: A 450 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?
Options:
A)600
B)525
C)360
D)370
E)380
Rationale: Speed = 450/18 = 25 m/sec.
Let the length of the platform be x meters.
Then, (x + 450)/39 = 25
=> x = 975 m.
L=975-450=525
Answer: Option B
Answer: B
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, ... What number should come next?
Options:
A)12
B)13
C)14
D)15
E)16
Rationale: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
The answer is C.
Answer: C
Question: How many 1's are there preceded by 2 but not followed by 0?
5 9 3 2 1 7 4 2 6 9 7 4 2 1 3 2 8 7 0 1 3 8 3 2 5 6 7 4 3 9 5 8 2 2 1 0 7 4 6 3
Options:
A)4
B)2
C)6
D)8
E)9
Rationale: 2 1 7
2 1 3
Only at these places 2 is preceded by 2 but not followed by 0
Answer: B
Answer: B
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options:
A)13
B)17
C)18
D)19
E)12
Rationale: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9
=> 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18
=> x = 18.
Answer: C
Answer: C
Question: Three coins are tossed. What is the probability of getting at most two tails?
Options:
A)5/6
B)2/3
C)7/8
D)8/7
E)6/9
Rationale: Explanation :
Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
Hence, total number of outcomes possible when 3 coins are tossed, n(S) = 2 × 2 × 2 = 8
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
Hence, n(E) = 7
P(E)=n(E)/n(S)=7/8
Answer:C
Answer: C
Question: In the Olympic track represented above 8 runners are going to compete to reach the finish line in the shortest amount of time. Between Tom in line 1 and Jack in line 2 there's a distance of 1.2 meters, the same as in the subsequent lanes. If each runner is to race onto their assigned line (and not in the middle of the lane), and Tom is to run on line 1 and Bob on line 8. Bob will have to start-position himself approximately how many meters in front of Tom for the two to run the same distance before reaching the finishing line?
Options:
A)37
B)51
C)53
D)64
E)85
Rationale: first perimeter:402 meters, second perimeter:455, for the two of them to run 402 meters the second athlete will have to start 53 meters ahead.
ANSWER:C
Answer: C
Question: The average of first five multiples of 4 is?
Options:
A)6
B)8
C)9
D)5
E)12
Rationale: Average = 4(1 + 2 + 3 + 4 + 5)/5
= 60/5
= 12.
Answer:E
Answer: E
Question: A man can row a boat three quarters of a kilometre in 11.25 minutes. What is the speed of the boat in still water?
Options:
A)4 kmph
B)8 kmph
C)6 kmph
D)5 kmph
E)12 kmph
Rationale: Explanation:
Simple Division.
No stream current mentioned.
Trick question.
Speed= Distance/Time.
Speed= 3/4 km / (11.25/60) hr
Therefore, Speed = 4 km/hr
ANSWER:A
Answer: A
Question: Two men Amar and Bhuvan have the ratio of their monthly incomes as 6 : 5. The ratio of their monthly expenditures is 3 : 2. If Bhuvan saves one-fourth of his income, find the ratio of their monthly savings?
Options:
A)4:10
B)3:10
C)3:17
D)3:20
E)3:60
Rationale: Let the monthly incomes of Amar and Bhuvan be 6x and 5x respectively.
Let the monthly expenditure of Amar and Bhuvan be 3y and 2y respectively.
Savings of Bhuvan every month = 1/4(5x)
= (His income) - (His expenditure) = 5x - 2y.
=> 5x = 20x - 8y => y = 15x/8.
Ratio of savings of Amar and Bhuvan
= 6x - 3y : 1/4(5x) = 6x - 3(15x/8) : 5x/4 = 3x/8 : 5x/4
= 3 : 10.
Answer:B
Answer: B
Question: If u r genius solve it:-
40 * 14 = 11
30 * 13 = 12
20 * 12 = 6
10 * 11 = ?
Options:
A)2
B)4
C)6
D)8
E)10
Rationale: A
2
Logic :
40*14=560=5+6+0=11
30*13=390=3+9+0=12
20*12=240=2+4+0=6
So 10*11=110=1+1+0=2
Answer: A
Question: YES bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
Options:
A)1:5
B)625:3125
C)100:105
D)100^4:105^4
E)725:3225
Rationale: Hi Bunuel,
Here is my approach: is this correct?
YES bank offers an interest of 5% per annum compounded annually on all its deposits.
Interest earned in 4 year= 10000(1+0.05)^4
Interest earned in 5 year= 10000(1+0.05)^5
Ratio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105
Hence Ans:C
Answer: C
Question: 3 men and 2 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Options:
A)12
B)15
C)18
D)21
E)24
Rationale: The list should be WMWMW. Hence, from women 2! And men 3!, we get (2!)(3!)=12. Therefore, the correct answer is A.
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Options:
A)1: 96
B)1: 98
C)1: 97
D)1: 95
E)1: 91
Rationale: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
Answer:A
Answer: A
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Options:
A)2 years
B)4 years
C)6 years
D)7 years
E)8 years
Rationale: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.
Answer: Option C
Answer: C
Question: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet. What is its area, in square feet?
Options:
A)43,200
B)19,600
C)20,000
D)20,400
E)20,800
Rationale: you can avoid a lot of work in this problem by recognizing that, with the info provided, the diagonal forms a triangle inside the rectangle with sides that have a 3:4:5 ratio.
diagonal = 200
2x + 2y = 560, or x + y = 280
a^2 + b^2 = c^2 for each the sides of the triangle
using the ratio 3:4:5 for sides, and knowing c = 300, you can deduce the following
a=180
b=240
180x240=43,200
A is the answer.
Answer: A
Question: Right triangle ABC is the base of the prism in the figure above. If AB=AC=√2 and the height of the prism is 3, what is the volume of the prism?
Options:
A)1
B)3/2
C)2
D)3
E)6
Rationale: Volume of prism = Area of base * height = 1/2* (square root of 2) * (square root of 2)*3 = 3
Answer: D
Answer: D
Question: A,B,C invested the capitals in a business. If A invested Rs. 5000 more than B and C invested Rs.20,000 more than A, then how should a profit of Rs.36,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
Options:
A)3250, 2250, 6500
B)3500, 2000, 6500
C)3000, 2500, 6500
D)3000, 2000, 7000
E)3500, 2000, 6250
Rationale: A==15,000
B==10,000
C==35,000
so, ration are 3:2:7
profit 14000
so,, 12000/12==1000
so,, A==3000, B==2000,, C==7000
ANSWER:D
Answer: D
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $30. What is the percent decrease?
Options:
A)20%
B)30%
C)40%
D)70%
E)80%
Rationale: The is always the difference between our starting and ending points. In this case, it’s 100 – 30 = 70. The “original” is our starting point; in this case, it’s 100. (70/100)*100 = (0.7)*100 = 70%.
D
Answer: D
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Options:
A)18
B)19
C)81
D)16
E)13
Rationale: 1500 ---- 270
100 ---- ? => 18%
Answer: A
Answer: A
Question: A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5? of wife's selection is (1/5). What is the probability that only one of them is selected ?
Options:
A)9/19
B)9/20
C)11/21
D)11/23
E)12
Rationale: Here, S = {1, 2, 3, 4, ...., 19, 20}.
Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.
P(E) = n(E)/n(S) = 9/20.
B)
Answer: B
Question: A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 900. If each member of the club paid at least $ 40, then what is the greatest possible number of members in the club?
Options:
A)19
B)20
C)21
D)23
E)25
Rationale: Given: Each person spends $40
By looking at the options, we see that if there were 20 members, each person will spend atleast $40
Hence the greatest number of members = 22.5 Option D
Answer: D
Question: When 28 is divided by the positive integer a, the remainder is 1. What is the sum of all the possible values of a for which this is true?
Options:
A)2
B)3
C)9
D)30
E)39
Rationale: The only possible values of the form 28=ap+1 are 3,9 or 27
The sum = 3+9+27 =39. E is the correct answer. We dont need to look for values >28 as all these values will leave a remainder of 28 and not 1.
Answer: E
Question: Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Options:
A)12877
B)12817
C)12171
D)12800
E)128722
Rationale: Let the monthly salary of Aamir be Rs. x.
68% of x = 27200
=> x = (27200 * 100)/68 = 40000
His savings = 32/100 * 40000 = 12800.
Answer:D
Answer: D
Question: If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.4 SDs from the mean?
Options:
A)13
B)20
C)21
D)22
E)18
Rationale: 2.4 SD's mean is equal to: +/- 2.4*3 = +/- 7.2
ie. 12.8 to 27.2
Answer is: A
Answer: A
Question: If an object travels at 85 feet per second, how many feet does it travel in 30 minutes?
Options:
A)3000
B)1500
C)1800
D)9000
E)2500
Rationale: If an object travels at 85 feet per second it covers 85x60 feet in one minute, and 5x60x30 feet in 30 minutes.
Answer = 9000 Answer: D
Answer: D
Question: The average marks of a class of 28 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Options:
A)52.2
B)59.5
C)52.8
D)52.5
E)52.1
Rationale: Sum of the marks for the class of 28 students = 28 * 40 = 1120
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 78 students =
1120 + 3000 = 4120
Average marks of all the students = 4120/78
= 52.8
Answer:C
Answer: C
Question: 100 liters of a mixture contains milk and water in the ratio 4:1. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Options:
A)7:5
B)9:2
C)6:1
D)5:4
E)11:4
Rationale: Quantity of milk in 100 liters if mix = 100*4/5 =80 liters
Quantity of milk in 110 liters of new mix = 80+10 = 90liters
Quantity of water in it = 110-90 = 20 liters
Ratio of milk and water in new mix = 90:20 = 9:2
Answer is B
Answer: B
Question: A number is missing from the number series below.
Can you find it ?
?, 155, 258, 399 , 584, 819.
Options:
A)275
B)84
C)399
D)421
E)449
Rationale: B
The missing number is 84.
155 = 5^3 + 5^2 + 5
258 = 6^3 + 6^2 + 6
399 = 7^3 + 7^2 + 7
584 = 8^3 + 8^2 + 8
819 = 9^3 + 9^2 + 9
Thus,
84 = 4^3 + 3^2 + 4
Answer: B
Question: -74x29+265=?
Options:
A)2436
B)-1881
C)-2801
D)-2071
E)None of them
Rationale: Given exp.=-74x(30-1)+265
=-(74x30)+74+265
=-2220+339
=-1881
Answer is B
Answer: B
Question: Find the odd man out
3, 5, 7, 11, 14, 17, 19, 23
Options:
A)3
B)5
C)11
D)14
E)23
Rationale: as 14 is only odd number. 14 is not prime
ANSWER:D
Answer: D
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 9 brown mice in the experiment, how many mice in total are in the experiment?
Options:
A)39
B)33
C)27
D)21
E)10
Rationale: Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 9
=> M = 27
Answer C
Answer: C
Question: Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she will eat only one croissant. At the end of the week (which runs from Monday through Sunday), the cycle resets, and Marina goes back to eating one croissant on Monday, two on Tuesday, and so forth. If a particular month begins on a Thursday, how many croissants will Marina eat on the 27th of that month?
Options:
A)1
B)2
C)3
D)5
E)6
Rationale: She eat as follow
Mon - 1
Tue - 2
Wed - 3
Thr - 5
Fri - 1(since she had more than 4 previous day)
sat - 6
sunday - 1 (since she had more than 4 previous day)
so 27th day of month she will have 2.
Answer is B
Answer: B
Question: A and B together do a work in 20 days.B and C together in 15 days and C and A in 12 days.then B alone can finish same work in how many days?
Options:
A)50
B)60
C)45
D)35
E)48
Rationale: (A+B) work in 1 day= 1/20,(B+C) work in 1 days = 1/15.,(C+A) work in 1 days=1/12
(1) adding=2[A+B+C] in 1 day work = [1/20+1/15+1/12]=1/5
(A+B+C) work in 1 day= 1/10
B work in 1 days= [A+B+C] work in 1 days- work of (A+C) in 1 days
=[1/10-1/12]=1/60
B alone finish work in 60 days
Answer B
Answer: B
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
Options:
A)3:6
B)3:4
C)3:9
D)3:3
E)3:1
Rationale: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B
=6000 : 8000 => 3:4
Answer:B
Answer: B
Question: Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How much dollars did Ben and Adam get of the sum, considering equal split of the sacks?
Options:
A)B$1150-A$180
B)B$1400-A$160
C)B$1225-A$175
D)B$1327-A$199
E)B$1876-A$250
Rationale: Every farmer's part is 1/3(45+75) = 40 sacks.
Charlie paid $1400 for 40 sacks, then 1 sack costs $1400/40 = $35/sack.
Adam got $35*(45-40)=35*5 = $175.
Ben got $35*(75-40)=35*35 = $1225.
Answer: Ben $1225, Adam $175
Answer: C
Question: In how many E ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Options:
A) 736
B) 768
C) 792
D) 840
E) 876
Rationale: three letters can be arranged in 3! ways.
only one combination EIU is required.
7 letters can be arranged in 7! ways.
thus E=7!/ 3! * 1 = 840.
D
Answer: D
Question: A man is facing northwest. He turns 90 degrees in the clockwise direction and then 135degrees in the anti-clockwise direction. Which direction is he facing now?
Options:
A)East
B)West
C)North
D)South
E)none
Rationale: Turns 90 degrees from northwest in clockwise direction is ;His position is Northeast
From Northeast, turns 135 degrees in anticlock : his position is west
ANSWER:B
Answer: B
Question: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Options:
A)1/6
B)1/9
C)8
D)2/2
E)1/1
Rationale: Answer: A) 1/6
Answer: A
Question: If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other
Options:
A)34
B)77
C)12
D)45
E)67
Rationale: Explanation:
For any this type of question, remember
Product of two numbers = Product of their HCF and LCM
So Other number =
693×11/99
= 77
Option B
Answer: B
Question: A man bought 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is
Options:
A)12
B)14
C)15
D)16
E)17
Rationale: Dividend on 20=(9/100*20)
=9/5
12 is an income on 100
9/5 is an income on (100/12*9/5)=15
Option C
Answer: C
Question: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $4,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
Options:
A)850
B)1,100
C)1,700
D)2,200
E)3,400
Rationale: Assume the cost of the least sized (26 Inch) TV = x
Cost of 28 inches TV = x + 200
Cost of 30 inches TV = x + 400
Cost of 32 inches TV = x + 600
Total cost = 4x + 1200 = 4400
Therefore x = 3200/4 = 800
Price of 28inch + 30 inch = 1000 + 1200 = 2200
Option D
Answer: D
Question: If a and b are integers and (2^a)(3^b) is a factor of 900^40, what is the largest possible value of ab?
Options:
A)2a
B)5a
C)20a
D)40a
E)80a
Rationale: (2^a)(3^b) is a factor of 900^40
We need to find the largest possible value of ab.
We know that 900 = 2^2*5^2*3^2
Therefore 900^40 will have 2 powers of 3 in it.
Hence in (2^a)(3^b), b has to 2
Therefore value of ab = 2a
Correct Option: A
Answer: A
Question: Aarti can do a piece of work in 9 days. In how many days will she complete three time of work of same type?
Options:
A)6 days
B)18 days
C)21 days
D)27 days
E)13 days
Rationale: We have the important relation, More work, More time (days)
A piece of work can be done in 9 days.
Three times of work of same type can be done in 9 x 3
= 27 days
Answer D
Answer: D
Question: 50 men do a work in 100days. How many men are needed to finish the work in 20days?
Options:
A)50
B)100
C)250
D)300
E)400
Rationale: men required to finish the work in 2days = 50*100/20 = 250
Answer is C
Answer: C
Question: Pipe A can fill a tank in 9 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options:
A)36
B)88
C)18
D)26
E)12
Rationale: Let the leak can empty the full tank in x hours 1/9 - 1/x = 1/12
=> 1/x = 1/9 - 1/12 = 1/12
=> x = 36. Answer:A
Answer: A
Question: 85% of a number is added to 24, the result is the same number. Find the number?
Options:
A)28
B)288
C)279
D)number=160
E)232
Rationale: ( 85/100) * X + 24 = X
3X = 480
X = 160
Answer:D
Answer: D