divelab/Sys2Bench huggingface dataset:
Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Options:
A)20%
B)25%
C)18%
D)30%
E)none of these
Rationale: Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number
ANSWER:A
Answer: A
Question: A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?
Options:
A)3388
B)2882
C)1400
D)277
E)2282
Rationale: Explanation:
Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches
Distance covered = Circumference of the wheel Ã— No. of Revolutions made by the wheel
If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15
Distance covered by both the wheels is the same
40*(n+3)=70n
n=20
Front wheel : Back Wheel
Circumference 40 : 70
Revolutions 35 : 20
Distance covered \small \Rightarrow 40Ã—35 = 70Ã—20 = 1400 inches.
Answer: C
Answer: C
Question: Departments A, B, and C have 15 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Options:
A)19,000
B)40,000
C)100,000
D)641,250
E)400,000
Rationale: 15c1 * 15c1* 15c1*20c2 = 15*15*15*190=641250. Hence D is the correct answer.
Answer: D
Question: A person buys an article at Rs.620. At what price should he sell the article so as to make a profit of 25%?
Options:
A)600
B)882
C)775
D)662
E)521
Rationale: Cost price = Rs.620
profit = 25% of 620= Rs.155
Selling price = Cost price + Profit
= 620 + 155 = 775
Answer: C
Answer: C
Question: The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
Options:
A)150, 208
B)150, 206
C)150, 200
D)150, 202
E)150, 201
Rationale: The incomes of A and B be 3P and 4P.
Expenditures = Income - Savings
(3P - 100) and (4P - 100)
The ratio of their expenditure = 1:2
(3P - 100):(4P - 100) = 1:2
2P = 100 => P = 50
Their incomes = 150, 200
Answer:C
Answer: C
Question: What is the product of the greatest 2 digit multiple of 15 and the greatest 2 digit prime number?
Options:
A)9,312
B)9,408
C)9,506
D)9,603
E)8730
Rationale: the greatest 2 digit multiple of 15: 90
the greatest 2 digit prime numebr: 97
97*90.
8730
E
Answer: E
Question: BMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 6 of them still work in AMS is ?
Options:
A)0.19
B)1.22
C)0.1
D)0.16
E)0.18456
Rationale: Asking atleast 6 of them continue ,
it has 3 cases.
1 all 8 professors continue.
2 7 professors continue and 1 professors discontinue.
3 6 professors continue and 2 professors discontinue.
1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=9factorial/10power8
=362880/100000000
=>0.00363.
2nd case any 7 professors continue, and 1out of 8 discontinue ,8C1 means 8 ways.
= 2/10*3/10.......8/10*1/10, (9/10 prodbability professor discontinue then 1/10)
in this way if we calculate for 8 possibilities then value is =>0.03733.
3rd case any 6 professors continue and 2out of 8 discontinue , 8C2 means 28 ways.
= 2/10*3/10.....2/10*1/10( 2 professors discontinue.
if we calculate for 28 possibilites P value is=>0.1436
=0.00363+0.03733+0.1436=0.18456=
E
Answer: E
Question: In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports:
Options:
A)+ 20%
B)- 25%
C)+ 305
D)- 30%
E)Cannot determined
Rationale: Solution: Let the initial revenue be 100.
100 ----- 50% ↑ (Ticket up)-----> 150 ----- 20% ↓ (Visitors down) -----> 120.
There is 20% increase in the revenue.
Answer: Option A
Answer: A
Question: Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Options:
A)5
B)4
C)55
D)95
E)125
Rationale: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
440/x = 440/1.1x + 11
1.1(440) = 440 + 11x
11x = 44
x = 4
The answer is B
Answer: B
Question: Find the odd one out:
125, 106, 85, 76, 65, 58, 53
Options:
A)33
B)85
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 85 is the answer.
ANSWER: B
Answer: B
Question: A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Options:
A)60 km
B)87 km
C)89 km
D)29 km
E)20 km
Rationale: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 6.5
=> x/10 + x/8 = 13/2 => (4x + 5x)/40 = 13/2 => x
= 29 km.
Answer:D
Answer: D
Question: Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 10 km each. Then they turned left and ran for another 7.5 km.
What is the distance (in kilometers) between the the two twins when they stop?
Options:
A)21
B)23
C)25
D)27
E)30
Rationale: The distance between them is the hypotenuse of a right angle triangle with sides 15 km and 20 km. The hypotenuse = sqrt(15^2 + 20^2) = 25
The answer is C.
Answer: C
Question: A rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:
Options:
A)425
B)430
C)440
D)450
E)460
Rationale: l = 378 Cm and b = 525 Cm
Maximum length of a square tile
= HCF of (378,525) = 21 Cm
Number of tiles = (378×525)/(21×21) = (18×25) = 450
Answer is D.
Answer: D
Question: Each of the three people individually can complete a certain job in 3, 4, and 6 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
Options:
A)1/3
B)9/20
C)8/15
D)5/12
E)2/3
Rationale: The two slowest people work at rates of 1/4 and 1/6 of the job per hour.
The sum of these rates is 1/4 + 1/6 = 5/12 of the job per hour.
The answer is D.
Answer: D
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 210. The amount of the bill is
Options:
A)1200
B)1960
C)1600
D)1354
E)None of these
Rationale: Explanation:
Let P.W. be Rs.x.
Then, S.I. on Rs. x at 16% for 9 months = Rs. 210.
x Ã— 16 Ã— (9/12) Ã— (1/100) = 210 or x = 1750
P.W. = Rs. 1750
Sum due = P.W. + T.D. = Rs.(1750
210) = Rs. 1960.
Answer: B
Answer: B
Question: The average weight of 8 person's increases by 2.5 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)65 kg
B)70 kg
C)75 kg
D)80 kg
E)85 kg
Rationale: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
answer :E
Answer: E
Question: A and B started a partnership business investing capital in the ratio of 3 : 5. C joined in the partnership after six months with an amount equal to that of B. At the end of one year, the profit should be distributed among A, B and C in --- proportion.
Options:
A)6:10:5
B)5:10:6
C)10:5:6
D)10:6:5
E)5:6:10
Rationale: Initial investment capital ratio of A and B = 3 : 5
Let initial capital of A and B be 3x and 5x respectively.
Amount that C invested after 6 months =5x (since it is equal to B's investment)
Ratio in which profit should be distributed after 1 year
=3x×12:5x×12:5x×6
=3×12:5×12:5×6
=3×2:5×2:5
=6:10:5
Answer is A.
Answer: A
Question: A bullet train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the bullet train must run to reduce the time of journey to 40min will be.
Options:
A)80 kmph
B)40 kmph
C)60 kmph
D)90 kmph
E)30 kmph
Rationale: C
60 kmph
Time=50/60 hr=5/6hr
Speed=48mph
distance=S*T=48*5/6=40km
time=40/60hr=2/3hr
New speed = 40* 3/2 kmph= 60kmph
Answer: C
Question: Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 9. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
Options:
A)(4m-27)/[m(m-3)]
B)(4m-27)/[m(m-6)]
C)(4m-27)/[m(m-9)]
D)(4m-27)/[m(m-8)]
E)(4m-20)/[m(m-10)]
Rationale: Three of the sandwiches were evenly divided among the students
i.e. Amount of Sandwiches with each students = 3/m
Amount of 4th Sandwich with remaining (m-9) students = 1/(m-9)
The amount of Sandwich that carol ate = 3/m + 1/(m-9) = (3m-27+m)/[m(m-9)] = (4m-27)/[m(m-9)]
Answer: C
Answer: C
Question: If a light flashes every 6 seconds, how many times will it flash in 1/4 of an hour?
Options:
A)51
B)151
C)251
D)351
E)451
Rationale: In 1/4 of an hour there are 15*60 = 900 seconds
The number of 6-second intervals = 900/6 = 150
After the first flash, there will be 150 more flashes for a total of 151.
The answer is B.
Answer: B
Question: A person covered one-fourth of the total distance at 17 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
Options:
A)21 (1/8)
B)21 (19/25)
C)21 (8/25)
D)29 (1/25)
E)21 (4/25)
Rationale: Let the total distance be x km
total time taken = (x/4)/17 + (3x/4)/24 = 25x/544
Average speed = x/(25x/544) = = 21 (19/25)kmph.
Answer: B
Answer: B
Question: Dhanumjay invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Options:
A)8% p.a.
B)5% p.a.
C)6% p.a.
D)4% p.a.
E)3% p.a
Rationale: Explanation:
Let the rate of interest be R% p.a.
17400[1 + R/100]2 = 17400 + 1783.50
[1 + R/100]2 = (17400 + 1783.50)/17400
= 1 + 1025/10000 = 1 + 41/400
= 441/400 = [21/20]2
[1 + R/100] = 21/20
R/100 = 1/20
∴ R = 5
Answer: Option B
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Options:
A)14 years
B)19 years
C)33 years
D)38 years
E)39years
Rationale: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
Answer:A
Answer: A
Question: How many anagrams can we make with the word 'CACAO'?
Options:
A)5!/(3!)2
B)5!/(2!)2 2!
C)5!/(3!)2 3!
D)4!/(2!)2
E)5!/(2!)2
Rationale: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.
The letter pattern 'CACAO' consists of 5 letters of which there are 2C's, 2A's and 1O.
Number of arrangements = 5!/(2!)2
Answer: E
Answer: E
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3,16/3,15,12,1/4,25/4,?
Options:
A)next number is 48
B)58
C)40
D)43
E)44
Rationale: [1,1/2,3/2,2], [5,1/3/16/3,15], [12,1/4,25/4,x]
1+1/2=3/2......1/1/2=2
5+1/3=16/3.....5/1/3=15
12+1/4=25/4....12/1/4=48
ANSWER:A
Answer: A
Question: If 9 is a factor of 2k, then which of the following may not be an integer?
Options:
A)6k/54 + 2k/3
B)(4k-18)/9
C)(2k+27)/9
D)(81-4k^2)/81
E)(2k-3)/3
Rationale: I got the right answer A after plugging in 18 for k.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6k/54 + 2k/3 = 3/6 * 2k/9 + 2k/3.
Since 9 is a factor of 2k, 3 is also factor of 2k. So 2k/3 is an integer, as is 2k/9. But 3/6 = 1/2, so if 2k/9 is not even, the expression 3/6 * 2k/9 will not be even."
But, isn't 2k/9 always even? 9 is a factor of 2k, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2k/9 is even.A
Answer: A
Question: If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:
Options:
A)10
B)30
C)20
D)40
E)50
Rationale: C
20%
Let C.P. of each books be $ 1.
Then, C.P. of 50 books= $50;
S.P. of 50 books = $40.
Loss % = 10/50 * 100 = 20%
Answer: C
Question: At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 39 = 19 + 18 + 12 - 2 - 2x
2x = 19 + 18 + 12 - 2 - 39
= 45 - 37
= 8
x = 4
C
Answer: C
Question: The area of a circle of radius 5 is numerically what percent of its circumference?
Options:
A)200
B)225
C)240
D)250
E)None
Rationale: Solution
Required % = [ Π x (5)2 / 2Π x 5 x 100]%
‹=›250%.
Answer D
Answer: D
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)297 m
B)178 m
C)245 m
D)278 m
E)297 m
Rationale: Speed = (45 * 5/18) m/sec
= (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2
==> 2(130 + X) = 750 ==> X
= 245 m.
Answer:C
Answer: C
Question: How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?
Options:
A)99
B)18
C)135
D)17
E)12
Rationale: 30 * 18= 2* 2 * x => x
= 135
Answer: C
Answer: C
Question: Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.
Options:
A)Rs. 40000
B)Rs. 20000
C)Rs. 50000
D)Rs. 45000
E)None of these
Rationale: Savings 30% - 6000
Expenditure 70% - 14000
Total - 20000
Answer : B
Answer: B
Question: X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Options:
A)Rs.14400
B)Rs.26400
C)Rs.12000
D)Rs.12500
E)Rs.15400
Rationale: Ratio of the investment=21000:15000=7:5
Share of X in the profit=(26400×7)/12=
=15400
ANSWER:E
Answer: E
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 30% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Options:
A)66%
B)79%
C)86%
D)116%
E)150%
Rationale: Let the price of Company A's assets be 100
Price of assets of KW is 30% more than company A's assets which is 130
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 65
A+B = 165
KW = 130
KW/(A+B)*100 = 130/165*100 = 78.78% or 79%
B
Answer: B
Question: Find the distance covered by a man walking for 72min at a speed of 10km/hr?
Options:
A)12 km
B)3km
C)4km
D)5km
E)6km
Rationale: Distance = 10*72/60 = 12 km
Answer is A
Answer: A
Question: The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be?
Options:
A)(x- 37)
B)2x−(37+z)
C)(x−37)/2 + z
D)x/2 - 37 + z
E)(2x−37)/z
Rationale: I will note h1 the height of high-rise 1 and h2 the height of high-rise 2. SO:
h1 + h2 = x
and h1 = h2 + 37 =>
h2 + h2 + 37 = x => 2h2 = x-37 =? h2 = (x-37)
CORRECT ANSWER A
Answer: A
Question: If (a-5)(y+2) = 0 which of the following must be true?
Options:
A) a = y
B) a > y
C) a < y
D) ay = -10
E) None of the above
Rationale: From (a-5)(y+2) = 0 it follows that either a=5 or y=-2.
(A) a = y --> not necessarily true. Consider a=5 and y=0.
(B) a > y --> not necessarily true. Consider a=5 and y=10.
(C) a < y --> not necessarily true. Consider a=5 and y=0.
(D) ay = -10 --> not necessarily true. Consider a=5 and y=0.
Thus, none of the statements must be true.
Answer: E.
Answer: E
Question: There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?
Options:
A)0.23
B)0.36
C)0.4
D)0.42
E)0.46
Rationale: If 6 is a multiple, we need 2 and 3 as a factor of the number. If we factor the numbers 11 through 20 we have:
11 = 11
12 = 2*2*3
13 = 13
14 = 7*2
15 = 5*3
16 = 2*2*2
17 = 17
18 = 3*2*3
19 = 19
20 = 5*2*2
Combos that have a 2 and a 3 as factors (first + second card):
12 + anything - 19 of these possibilities (we count 12 + 12 only once)
14 + 15 - 2 of these possibilities
15 + 16 - 2 of these possibilities
15 + 20 - 2 of these possibilities
18 + anything (except 12, since that is counted in our first option) - 17 of these possibilities
Total possibilities that will be a multiple of 6: 42
Total possibilites: 10*10=100
Probability = 42/100 = 0.40
Answer:C
Answer: C
Question: What is the difference between the C.I. on Rs. 6000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Options:
A)s.2.04
B)s.2.08
C)s.2.02
D)s.2.83
E)s.2.45
Rationale: C.I. when interest is compounded yearly
= [6000 * (1 + 4/100) * (1 + (1/2 * 4)/100]
= 6000 * 26/25 * 51/50 = Rs. 6364.8
C.I. when interest is compounded half-yearly
= [6000 * (1 + 2/100)2]
= (6000 * 51/50 * 51/50 * 51/50)
= Rs. 6367.25 Difference
= (6367.25 - 6364.8)
= Rs.2.45.
Answer: E
Answer: E
Question: Cistern may be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
Options:
A)8 hrs
B)8.5 hrs
C)7 hrs
D)7.2 hrs
E)9 hrs
Rationale: filled in 1 hr = 1/4
empties in 1 hr = 1/9
net filled in 1 hr = 1/4-1/9
==>filled in 36/5 ==> 7.2 hrs
ANSWER D
Answer: D
Question: A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
Options:
A)40%
B)45%
C)50 %
D)60 %
E)55 %
Rationale: Another method to solve this question using equations:
1 kg of Brand A will have 400g millet and 600g sunflower.
1 kg of Brand B will gave 650g millet and 350g sunflower.
Suppose,x kg of Brand A and y kg of Brand B are in the mixture.
Then total weight of millet = 400x+650 y g
Total weight of mixture = 1000x + 1000 y g
Given that millet is 500% hence
(400x+650y)/(1000x + 1000y) = 1/2
or, 800x + 1300 y = 1000x+1000y
or 300y=200x
or, x/y = 3/2
% of Brand A = (3/(3+2))*100 =60%
Hence answer is D
Answer: D
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Options:
A)23 years
B)22 years
C)21 years
D)20 years
E)19 years
Rationale: Let present age of the son =x years
Then, present age the man =(x+24) years
Given that, in 2 years, man's age will be twice the age of his son
⇒(x+24)+2=2(x+2)
⇒x=22
ANSWER:B
Answer: B
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Options:
A)17
B)83
C)12
D)83
E)28
Rationale: Explanation:
T = 13/45 * 60 = 17
Answer: Option A
Answer: A
Question: If 9/(1 + 4/x) = 1, then x =
Options:
A)3
B)1/2
C)1/3
D)-1/3
E)-3
Rationale: The expression 9/(1 + 4/x) = 1should have been equal to something .
If 9/(1 + 4/x) = 1 = 1
=> 9x/(x + 4) = 1
=> 9x = x + 4
=>8x = 4
=>x = 1/2
Correct Option : B
Answer: B
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Options:
A)Rs.3600
B)Rs.3700
C)Rs.3800
D)Rs.3900
E)Rs.4900
Rationale: Area = (l + b – d) d
(80 + 60 – 10)10 => 1300 m2
1300 * 3 = Rs.3900
ANSWER:D
Answer: D
Question: In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
Options:
A)36
B)48
C)52
D)30
E)24
Rationale: Required number = 4!2! = 48
Answer is B
Answer: B
Question: What number comes next in this Number series.
4 4 6 9 7 8 8 ?
*Hint: check calende
Options:
A)1
B)3
C)6
D)7
E)8
Rationale: A
7 (the number of letters in the month January)
June : 4 letters
July : 4 letters
August: 6 letters
September : 9 letters
October : 7 letters
November : 8 letters
December : 8 letters
Answer: D
Question: If the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Options:
A)25%
B)20%
C)24.2%
D)33.33%
E)None of these
Rationale: Explanation :
let us assume before increase the petrol will be Rs. 100.
After increase it will be Rs (100+32) i.e 132.
Now, his consumption should be reduced to :-
=(132−100)/132 ∗ 100.
Hence, the consumption should be reduced to 24.2%.
Answer : C
Answer: C
Question: In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?
Options:
A)56
B)60
C)64
D)68
E)72
Rationale: Let C be the capacity of the can.
(5/8)*(C-8)+8=(2/3)*C
15C-120+192=16C
C=72
The answer is E.
Answer: E
Question: Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 16 such machines produce in 4 minutes ?
Options:
A)2880
B)1800
C)2700
D)10800
E)None of these
Rationale: Solution
Let the required number of bottles be x.
More machines,More bottles (Direct Proportion)
More minutes,More bottles (Direct Proportion)
âˆ´ 6 Ã— 1 Ã— x = 16 Ã— 4 Ã— 270 â‡” x = 16x4x270/6= 2880 . Answer A
Answer: A
Question: If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x * y from options below?
Options:
A)343
B)625
C)243
D)921
E)741
Rationale: C. x=27, y=9
27^2=729
9^3=729
x * y = 27 * 9 = 243
My answer is (C) 243
Answer: C
Question: The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?
Options:
A)140 km/hr
B)130 km/hr
C)110 km/hr
D)120 km/hr
E)None of these
Rationale: Explanation:
Let the speeds of two trains be 7X and 9X km/hr.
9/X=540/3=>X=20Km/hr
So speed of first train is 20*7 = 140 km/hr
Option A
Answer: A
Question: Vehicle X is 22 miles ahead of Vehicle Y, which is traveling the same direction along the same route as Vehicle X. If Vehicle X is traveling at an average speed of 36 miles per hour and Vehicle Y is traveling at an average speed of 45 miles per hour, how long will it take Vehicle Y to overtake and drive 23 miles ahead of Vehicle X?
Options:
A)5 hours
B)7 hours 20 minutes
C)4 hours
D)3 hours 45 minutes
E)2 hours 30 minutes
Rationale: Relative speed = 45-36 = 9 miles per hour
Dist required = 22+23 = 45 miles
Time taken to overtake = 45/9 = 5 hours. A is the answer.
Answer: A
Question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
Options:
A)$1825
B)$5000
C)$3150
D)$7000
E)$10000
Rationale: Saving = (38-33)% of 36500 = 1825.
Answer:A
Answer: A