divelab/Sys2Bench huggingface dataset:
Question: If 853,845 bars of chocolate need to be placed in little boxes and each box can contain at most 9 bars of chocolate. How many bars of chocolate will be in the last unfilled box?
Options:
A)1
B)3
C)5
D)6
E)7
Rationale: The number of bars of chocolate that can be placed in the little boxes of 9 bars is the first number that is divisible by 9 that occurs before 853,845.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 853,845 = 33 and 27 is divisible by 9.
Hence, we need to remove 6 to this number for it to be divisible by 9
Correct Option: D
Answer: D
Question: For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,3), what are the coordinates of the remaining vertex?
Options:
A)(3,4)
B)(3,9)
C)(4,9)
D)(6,4)
E)(9,6)
Rationale: Let (a,b) be the remaining vertex.
x: 0 + 6 + a = 3*3. Then a = 3.
y: 0 + 0 + b = 3*3. Then b = 9.
The answer is B.
Answer: B
Question: If st = 3(s+ 1) + t and s and t are integers, s could be any of the following values EXCEPT:
Options:
A)2
B)4
C)10
D)3
E)7
Rationale: st = 3(s + 1) + t
st - q = 3(s + 1)
t = 3(s + 1)/(s-1)
t won't be an integer only if s = 10 (from the options).
Answer: E
Answer: E
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Options:
A)65
B)77
C)24
D)71
E)27
Rationale: Explanation:
B = 1/8 â€“ 1/2 = 1/24 => 24 days
Answer:C
Answer: C
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 729 more than 4times the middle integer. Find the numbers?
Options:
A)650
B)678
C)698
D)710
E)729
Rationale: x + 4 (x + 4) = 729 + 4 (x + 2)
Solve for x and find all three numbers
x + 4 x + 16 = 729 + 4 x + 8
x = 721
x + 2 = 723
x + 4 = 725
Check: the smallest is added to four times the largest
721 + 4 * 725 = 3621
four times the middle
4 * 723 = 2892
3621 is more than 2892 by
3621 - 2892 = 729
E
Answer: E
Question: Find the sum of all 4 digit numbers formed using digits 1,2,5,6.
Options:
A)93324
B)92324
C)93424
D)93424
E)93824
Rationale: (n-1)! * (111...n) *(sum of the digits)
=(4-1)!*1111*(1+2+5+6)
=93324
ANSWER:A
Answer: A
Question: Excluding stoppages, the speed of a bus is 65 kmph and including stoppages, it is 48 kmph. For how many minutes does the bus stop per hour?
Options:
A)70 min
B)15 min
C)20.4 min
D)15.6 min
E)40 min
Rationale: D
15.6 min
Due to stoppages, it covers 17 km less.
Time taken to cover 17 km = (17/65 x 60) min = 15.6 min
Answer: D
Question: If pqr = 0 , qrs = 0 , and spr = 1, which of the following must be zero?
Options:
A)P
B)Q
C)R
D)S
E)T
Rationale: prs = 1 which means neither p / r/s is 0
rsx q = 0 , we know r and s are is not 0 from above hence q must be 0.
q x p x r = 0, we know from first expression that p and r are not 0 hence q =0.
option B
Answer: B
Question: The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person?
Options:
A)67kg
B)77kg
C)87kg
D)97kg
E)None of these
Rationale: Explanation:
Let the average weight of 8 persons be ‘x’
years and the age of the new person be ‘y’ years
so, (8x – 65 + y) / 8 = x+1.5
so, y = 77kgs
65 + 8X1.5 = 77kgs
Answer B
Answer: B
Question: In how many ways can the letters of the word FINISHED be arranged?
Options:
A)20155
B)1643
C)2520
D)20152
E)20160
Rationale: FINISHED has 8 words, but I is repeated two times. Thus ways = 8! / 2! = 20160 ways
E
Answer: E
Question: If xy = 3(x + 1) + y and x and y are integers, x could be any of the following values EXCEPT:
Options:
A)2
B)8
C)4
D)3
E)7
Rationale: xy = 3(x + 1) + y
xy - y = 3(x + 1)
y = 3(x + 1)/(x-1)
y won't be an integer only if x = 8 (from the options).
Answer: B
Answer: B
Question: If x is negative and y is positive, which of the following cannot be positive?
Options:
A)x/y
B)-x*y
C)-x/y
D)x^2+y
E)x^6+y
Rationale: - /+ = -
x/y is negative.
Answer : A
Answer: A
Question: A man's basic pay for a 40 hour week is Rs.20. Overtime is paid for at 25% above the basic rate. In a certain week he worked overtime and his total wage was Rs.25. He therefore worked for a total of :
Options:
A)45 hours
B)47 hours
C)48 hours
D)50 hours
E)None
Rationale: Explanation:
Basic rate per hour = Rs.(20/40)= Rs.1/2
Overtime per hour = 125% of Rs.1/2=125/100×1/2=Rs.5/8
Suppose he worked x hours overtime.
Then,20+5/8x=25 or 5/8x=5
x=5×8/5=8 hours
So he worked in all for (40+8) hours = 48 hours.
Correct Option: C
Answer: C
Question: A certain auto manufacturer sold 6% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
Options:
A)17,00,000
B)18,00,000
C)20,00,000
D)25,00,000
E)26,00,000
Rationale: Let's assume in 2006 the manufacturer sold X.
In 2007 he sold X-6/100(X)
If sales in 2006,X= 2.6 million find X-6/100(X)
(2.6 x 10^6)-6/100(2.6 x 10^6)
2600000-1,56,000=24,44,000-----> 25,00,000(approx)
Answer-D
Answer: D
Question: Marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 30%. What percent of the projected revenue was the actual revenue ?
Options:
A)50%
B)58%
C)62.5%
D)64%
E)75%
Rationale: Last year revenue = 100 (assume);
This year revenue = 70;
Projected revenue = 140.
Actual/Projected*100=70/140*100 = 50%.
Answer: A.
Answer: A
Question: A die is rolled twice. What is the probability of getting a sum equal to 12?
Options:
A)1/36
B)1/9
C)1/7
D)1/24
E)2/36
Rationale: Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)
Hence, total number of outcomes possible when a die is rolled twice, n(S) = 6 × 6 = 36
E = Getting a sum of 12 when the two dice fall = {(6, 6)}
Hence, n(E) = 1
P(E) = n(E)/n(S)
=1/36
=1/36
Answer : Option A
Answer: A
Question: A shoe shop sells four different brands of shoes( brand A, B,C and D),
I) brand A cost 5% less than brand B
II) brand C cost 15% less than brand A
III) brand D cost 10% less than brand C
what percent of brand B's cost is brand D?
Options:
A)70.5%
B)62.2%
C)60.9%
D)62.5%
E)72.9%
Rationale: Let the cost of brand B be $100
I) brand A cost 5% less than brand B--100-5=95
II) brand C cost 15% less than brand A--95-13.95=81.05
III) brand D cost 10% less than brand C--81.05-8.105=72.945
what percent of brand B's cost is brand D=72.945*100/100
Answer is E
Answer: E
Question: (2.3)(0.001)(2.2)(0.01)=?
Options:
A)0.000506
B)0.00506
C)5.06e-05
D)0.506
E)5.06e-07
Rationale: Divide the four terms into two,(2.3)(0.001)*(2.2)(0.01).
2.3*0.001 gives a value 0.0023 and 2.2*0.01 gives 0.022(remember that the place value should be placed carefully)
0.0023*0.022 = multiply 23 and 22 gives 506.. the number of digits could be move 7 places..
so, the answer will be 0.0000506
The answer is option C
Answer: C
Question: A man can row his boat with the stream at 6 km/h and against the stream in 3 km/h. The man's rate is?
Options:
A)1.5 kmph
B)4 kmph
C)5 kmph
D)7 kmph
E)8 kmph
Rationale: DS = 6
US = 3
S = ?
S = (6 - 3)/2 = 1.5 kmph
Answer: A
Answer: A
Question: The average (arithmetic mean) of four numbers is 5x + 3. If one of the numbers is 2x, what is the average of the other three numbers?
Options:
A)x + 1
B)3x + 3
C)4x + 1
D)5x + 3
E)6x + 4
Rationale: The sum of all four numbers is 4 * (5x + 3) = 20x + 12.
If one of the numbers is 2x, the sum of the other 3 numbers is 18x+12.
The average of the remaining three numbers is (18x+12)/3 = 6x+4.
The answer is E.
Answer: E
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1000 m long?
Options:
A)220 Sec
B)190 Sec
C)167 Sec
D)197 Sec
E)179 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 2200 m
T = D/S
T = 2200/10
T = 220 Sec
Answer: A
Answer: A
Question: If 1,500 is increased by 20%, and then reduced by y%, yielding 1,080, what is y?
Options:
A)20%
B)40%
C)60%
D)80%
E)100%
Rationale: Soln:-
1,500*1.2 = 1,800.
1,800(1 - y/100) = 1,080 --> (1 - y/100) = 0.6 --> y = 40%.
ANSWER:B
Answer: B
Question: Working alone, machine X can manufacture 1,000 nails in 10 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Options:
A)3 9/17
B)5 1/3
C)2
D)7 1/5
E)8 4/7
Rationale: rate of machine x = 1000/10
(1000/10 + y)5=1000
y=500/5=100
100 * t = 1000
t=1000*1/500
C. 2
Answer: C
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Options:
A)16 2/9%
B)16 8/3%
C)16 2/3%
D)132 2/3%
E)16 23/3%
Rationale: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer:C
Answer: C
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.20 lacs . How many workers were they?
Options:
A)220
B)400
C)500
D)560
E)590
Rationale: N * 50 = (320000 - 300000) = 20000
N = 20000 / 50
= 400
B
Answer: B
Question: At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent S of the interns report no feelings of tiredness during their shifts?
Options:
A)6
B)14
C)19
D)20
E)81
Rationale: < 6 hours sleep>= 6 hours sleepTOTAL
Tired75--
Not Tired-0.7*X?
TOTAL80X100
Interns who receive< than 6 hours sleepandNot Tired= 80 - 75 = 5;
TOTAL interns who receive >= 6 hours sleep= 100 - 80 = 20, so interns who receive>= 6 hours sleepand areNot Tired= 0.7 * 20 =14;
Interns who areNot Tired S= 5 + 14 = 19.
Answer: C.
Answer: C
Question: Out of 410 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?
Options:
A)120
B)150
C)100
D)140
E)220
Rationale: n(A)=325,n(B)=175,n(AuB)=410-50=360.
Required number = n(AnB)=n (A)+n (B)-n(AuB)=325+175-360=140.
Answer is D
Answer: D
Question: Joe invested a certain sum of money in a simple interest bond whose value grew to $310 at the end of 3 years and to $410 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Options:
A)6%
B)7%
C)8%
D)9%
E)10%
Rationale: In 5 years, the value grew $100, so the simple interest was $20 per year.
In 3 years, the total interest was 3*$20 = $60
The principal is $310 - $60 = 250.
The interest rate is $20/$250 = 8%
The answer is C.
Answer: C
Question: In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 85 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Options:
A)81.4
B)82
C)82.5
D)85
E)86.5
Rationale: Weighted mix method is best here....
Ratio is 1:4 for 86:80.5...
So the answer required = 80.5+ (85-80.5)*1/5=80.5+4.5*1/5
80.5+0.9=81.4
A
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of
5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?
Options:
A)Rs. 500
B)Rs. 1000
C)Rs. 1500
D)Rs. 2000
E)NOne
Rationale: Sol.
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively. Then 4x - 3x = 1000 ⇔ x = 1000.
∴ B's share = Rs. 2x = Rs. (2x1000) = Rs. 2000.
Answer D
Answer: D
Question: Some of 60%-intensity red paint is replaced with 30% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
Options:
A)2/3
B)1/3
C)2/5
D)1/2
E)1/5
Rationale: Let total paint = 1
Let amount replaced = x
60 (1-x) + 30x = 40
x = 2/3
ANSWER:A
Answer: A
Question: A man purchased 15 pens, 12 books, 10 pencils and 5 erasers. The cost of each pen is Rs.36, each book is Rs.45, each pencil is Rs.8, and the cost of each eraser is Rs.40 less than the combined costs of pen and pencil. Find the total amount spent?
Options:
A)2388
B)2337
C)1192
D)2827
E)1180
Rationale: Explanation:
Cost of each eraser = (36 + 8 -40) = Rs.4
Required amount = 15 * 36 + 12 * 45 + 10 * 8 + 5 * 4
540 + 540 + 80 + 20 = Rs.1180
Answer: E
Answer: E
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 75 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Options:
A)7.19
B)7.17
C)7.2
D)7.35
E)7.11
Rationale: T = (121 + 165)/ (75 + 65) * 18/5
T = 7.35
Answer:D
Answer: D
Question: Walking across campus, a student interviewed a group of students. 35% of the students took a finance class last semester, 45% took a marketing class last semester, and 50% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
A)40%
B)30%
C)25%
D)15%
E)10%
Rationale: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 35 + 45 - {both} + 50
{both} = 30%.
The answer is B.
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 28 articles, then the gain or loss percent is?
Options:
A)22
B)65
C)78.57
D)33
E)25
Rationale: Given that, cost price of 50 article is equal to selling price of 28 articles.
Let cost price of one article = Rs. 1
Selling price of 28 articles = Rs. 50
But Cost price of 28 articles = Rs. 28
Therefore, the trader made profit.\Percentage of profit = 22/28 * 100 = 78.57%
Answer:C
Answer: C
Question: Which of the following numbers is the biggest => [-2/7 , -7/8 , -9/10 , -12/13 , -34/35]
Options:
A)A)-2/7
B)B)-7/8
C)C)-9/10
D)D)-12/13
E)E)-34/35
Rationale: If we observe all the fractions just differ by one i.e denominator vs numerate.. in such case the biggest will be with large values... here all values are with -ve value...the least value is biggest. i.e. -2/7..
Hence A is correct answer...
Answer: A
Question: A bag contains 5 white marbles and 5 black marbles. If each of 5 girls and 5 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Options:
A)1/126
B)1/120
C)1/24
D)4/25
E)1/2
Rationale: Consider a case when all girls select black marbles...So Girl 1 will chose 1 black marble out of 10..and black marble will be chosen from 5 Black marbles
Girl 1 will have a probability of picking black marble 5/10
Girl 2 will have to pick a black marble out of 4 and total remaining no. of marbles 9=4/9
So we have Probability of all girls selecting black marbles as 5/10*4/9*3/8*2/7*1/6 =1/252
Since Girls can also select white marbles so we will have 2 cases so Probability of girls selecting all same colour marbles is 2*1/252 or 1/126
Ans is A
Answer: A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $23. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Options:
A)347.4
B)984.4
C)877.4
D)637.4
E)667.4
Rationale: Let the costs of each kg of mangos and each kg of rice be $a and $r respectively.
10a = 24r and 6 * 23 = 2r
a = 12/5 r and r = 69
a = 165.6
Required total cost = 4 * 165.6 + 3 * 69 + 5 * 23
= 662.4 + 207 + 115 = $984.40
B
Answer: B
Question: Which of the following is the lowest positive integer that is divisible by the first 6 positive integer multiples of 5?
Options:
A)300
B)600
C)720
D)950
E)1500
Rationale: The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, and 2*3*5.
The lowest such number is 2^2*3*5^2 = 300.
The answer is A.
Answer: A
Question: Each of the 59 members in Lourdes school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
Options:
A)2
B)5
C)6
D)8
E)9
Rationale: Each of the 59 members in Lourdes school class is required to sign up for a minimum of one and a maximum of three academic clubs.Total = G1 + G2 + G3 - (# In exactly 2) - 2*(# in 3 sets)
59 = 22+27+28 - (6) - 2x
so, # In 3 sets = 6=C
Answer: C
Question: What annual installment will discharge a debt of Rs 2,360 due in four years at 12% p.a. simple interest?
Options:
A)400
B)500
C)300
D)600
E)None
Rationale: Explanation:
Installments paid at the end of 1st, 2nd, 3rd and 4th years earn a simple interest at 12% p.a. for 3, 2, 1 and 0 years respectively.
Hence the respective installments amount to, (100 + 3 x 12), (100 + 2 x 12), (100 + 1 x 12) and 100, when annual installment is Rs 100.
Hence amount paid is Rs. 136 + Rs 124 + Rs 112 + Rs 100 i.e., Rs 472, when the annual installment is Rs.100
For an amount of Rs 2,360, annual installment = 2,360×100/472=Rs500
Answer B
Answer: B
Question: Which is greatest in 16 ( 2/3) %, 2/5 and 0.17 ?
Options:
A)2/3
B)0.17
C)3/2
D)0.71
E)None of them
Rationale: 16 (2/3)% =[ (50/3)* )1/100)] = 1/6 = 0.166, 2/15 = 0.133. Clearly, 0.17 is the greatest.
Answer is B.
Answer: B
Question: which of the following is the square of an prime number?
Options:
A)144
B)529
C)576
D)441
E)256
Rationale: A prime number is a number greater than 1, whose only two whole-number factors are 1 and itself.
here square root of 529 is 23 which is having only two factor, one and its self.
23 is a prime number
answer is B
Answer: B
Question: Xavier starts from P towards Q at a speed of 90 kmph and after every 12 mins increases his speed by 20 kmph. If the distance between P and Q is 61km, then how much time does he take to cover the distance?
Options:
A)52
B)48
C)44
D)40
E)36
Rationale: first 12min = 90 *12/60 =18km
2nd 12min = 110*12/60 =22km
3rd 12 min = 130*12/60 = 26 km
TOTAL time 12.3 =36 min
E
Answer: E
Question: Last year the price per share of Stock N increased by p percent and the earnings per share of Stock N increased by q percent, where p is greater than q. By what percent did the ratio of price per share to earnings per share increase, in terms of p and q?
Options:
A)(p-q)/(100+q) %
B)(100+q) %
C)100*(p-q)/(100+q) %
D)100*(p-q) %
E)p/q%
Rationale: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases
After the increase the new price is: P*(1+p/100) and the new earning is: E*(1 +q/100)
The new P/E is: (1+p/100)P/(1+q/100)E
The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:
[(1+p/100)/(1+q/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:
100*(p-q)/(100+q) %
Answer : C
Answer: C
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 48, what will be his grade at the end of the third year?
Options:
A)44
B)89
C)62
D)75
E)80
Rationale: Cool question!
There's a lot of information given here, so let's eat slow here.
Joey scores a 48 at the end of his first year. That means that he's currently 24 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).
Now, come next year, or his second year at this psychology school, he's technically 25 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.
Well, his second year is then going to be 25(2) + 24 = 74.
Now let's tackle the main question: what's his grade going to be the third year?
Well, he will be at an age of 26 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (26x2), plus half of his previous year's grade (as calculated for his second year, his grade is 74; therefore, 74/2)
Having said that, the final answer would be 26(2) + 74/2 = 52 + 37 = 89 --> (B)
Answer: B
Question: Find the odd one out:
125, 106, 88, 76, 65, 58, 53
Options:
A)33
B)88
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 88 is the answer.
ANSWER: B
Answer: B
Question: Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/2 of the remaining paint. How many gallons of paint has Joe used?
Options:
A)18
B)225
C)175
D)216
E)250
Rationale: Total paint initially = 360 gallons
Paint used in the first week = (1/4)*360 = 90 gallons.
Remaning paint = 270 gallons
Paint used in the second week = (1/2)*270 = 135 gallons
Total paint used = 225 gallons.
Option B
Answer: B
Question: There are 3 numbers A, B and C. If A:B = 5/4, B:C = 4/3,C:D = 3/6, then A:D will be?
Options:
A)5:6
B)3 : 5
C)5 : 7
D)6 : 11
E)5 : 3
Rationale: Sol. A : B = 5 : 4, B : C = 4 : 3, C : D = 3 : 6
∴A∶B∶C∶D= 5 : 4 : 3 : 6.
Thus, A : D = 5 : 6
A
Answer: A
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 20%. Find the decrease percent in the revenue derived from it?
Options:
A)20%
B)18%
C)4%
D)12%
E)14%
Rationale: 100 * 100 = 10000
80 * 120 = 9600
10000------- 400
100 ------- ? = 4%
ANSWER:C
Answer: C
Question: The ratio of speed of A and B is 3:4.a definite distance covered by B in 24 minutes.
how much time A take to cover that distance?
Options:
A)18 minute
B)32 minute
C)76/7 minute
D)40 minute
E)44/3 minute
Rationale: ratio of time taken by A and B to cover a distance=1/3:1/4=4:3.
let time taken by A and B are 4x minute and 3x minute respectively.
3x=24;x=8.
hence,time taken by A=(4*8)=32 minute
answer B
Answer: B
Question: If the area of circle is 850 sq cm then its circumference?
Options:
A)1719.96 m
B)1628.82 m
C)1925.23 m
D)1432.50 m
E)1893.45 m
Rationale: Area of Circle = ∏r2
= 22/7(r2) = 860
= r2 = (860)(7/22)
= r = 273.63
Circumference = 2∏r = (2)(22/7)(273.63)
= 1719.96 m
Answer: A
Answer: A
Question: Whats the probability of getting 5 Sunday(my favorite day) in a 31 day month ?
Options:
A)3/7
B)4/7
C)5/7
D)6/7
E)7/7
Rationale: Solution:
3/7
Explanation:
If a 31day month starts on a Friday, Saturday or Sunday it will have five Sunday, if not it will have 4 Sunday
Answer A
Answer: A
Question: A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?
Options:
A)3 hrs 15 min
B)3 hrs 45 min
C)4 hrs
D)4 hrs 15 min
E)None
Rationale: Solution
Time taken by one tap to fill half the tank = 3hrs.
Part filled by the four taps in 1 hour	= (4×1/6)
= 2/3.
Remaining part	= (1 - 1/2)
= 1/2.
Therefore,	‹=› 2/3 : 1/2 :: 1 : x
‹=› (1/2×1×3/2)
‹=› 3/ 4 hrs i.e 45 mins.
So, total time taken = 3 hrs 45 min.
Answer B
Answer: B
Question: If m = 9/25, c = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
Options:
A)c, m, w
B)c, w, m
C)m, w, c
D)w, c, m
E)w, m, c
Rationale: Answer W - w, m, c
m ~ 1/3
c ~ 1/2
and m+w+c = 1 hence w ~ 1/6
Hence increasing order would be w -> m -> c
Answer E
Answer: E
Question: A rectangle having length 100 cm and width 40 cm. If the length of the rectangle is increased by fifty percent then how much percent the breadth should be decreased so as to maintain the same area.
Options:
A)25%
B)33.33%
C)40%
D)75%
E)None of these
Rationale: Explanation :
Solution: (50/(100+50) * 100)% = 33.33%
Answer : B
Answer: B