divelab/Sys2Bench huggingface dataset:
Question: If m=9^(x−1), then in terms of m, 3^(4x−3) must be which of the following?
Options:
A)m/3
B)9m
C)3m^2
D)m^2/3
E)m^2/9
Rationale: m = 9 ^ (X-1)
m = 3 ^ (2x-2)
m^2 = 3 ^ (4x-4)
3m^2 = 3 ^ (4x-3)
Answer C
Answer: C
Question: A can do a piece of work in 12 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Options:
A)15 5/8 days
B)10 5/8 days
C)12 5/8 days
D)19 5/8 days
E)13 5/8 days
Rationale: B
(x â€“ 5)/12 + x/20 = 1
x = 10 5/8 days
Answer: B
Question: the egg vendor calls on his 1st customer and sells his half his eggs and half an egg.to the 2nd customer he sells half of what he had left and half an egg,and to the 3rd customer he sells half of what he had then left and half an egg.by the way he did not break any eggs.in the end 3 eggs were remainig.how many did he start out with?
Options:
A)21
B)31
C)41
D)51
E)61
Rationale: He start out with 31eggs.
In the end, he have 3eggs left.
So,
3*2 +1= 7
7*2 +1= 15
15*2 +1= 31
31eggs he had initially.
ANSWER:B
Answer: B
Question: Consider the formula M = 4c^2/d. If c is doubled and d is increased by a factor of 2, by what factor is M increased?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: We have,
M = 4c^2/d
If c is doubled and d is increased by a factor of 2, the formula changes to:
M = 4*{(2c)^2}/(2d)
M = 4*{4c^2}/(2d)
M = 4*[2c^2/d]
At first, M = 4c^2/d
After changing c and d, M = 2*4c^2/d
Hence, M changes by a factor of 2.
Answer = B = 2
Answer: B
Question: A team of seven entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Options:
A)288
B)581
C)168
D)127
E)664
Rationale: Explanation:
7 * 84 = 588 - 7 = 581
Answer:B
Answer: B
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 24 meter/sec.
Options:
A)21 meter/sec
B)7 meter/sec
C)14 meter/sec
D)18 meter/sec
E)28 meter/sec
Rationale: P's speed = 24 m/s
P's distance = 1000m (as it is a km race)
t = 1000/24 = 41.7 sec
Q's distance = 1000-125= 875m
Q's time to complete this distance is also 62.5 sec.
Q's speed = dist/time = 875/41.7 = 21 m/s
Hence A is the answer.
Answer: A
Question: A company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
Options:
A)3,024
B)4,536
C)5,040
D)9,000
E)10,000
Rationale: No. of ways select first digit (other than 0) * No of wasy select second digit (exclude first digit selected) * no of ways select 3rd digit (exclude first 2) * no of ways to select 4 th digit (excllude first 3 digits)
= 9*9*8*6= 4536
ANSWER:B
Answer: B
Question: 90, 180, 12, 50, 100, 100, ?, 3, 25, 4, 25, 2, 6, 30, 3
Options:
A)100
B)85
C)75
D)66
E)77
Rationale: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
25*4=100
3*25=75 ans is 75
ANSWER:C
Answer: C
Question: Of the science books in a certain supply room, 40 are on botany, 45 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
Options:
A)186
B)225
C)294
D)302
E)314
Rationale: The worst case scenario is to remove all the books on botany, zoology, and geology.
Also we can remove 79 books each from physics and chemistry.
The total is 40 + 45 + 50 + 79 + 79 = 293.
The next book removed must either be physics or chemistry, ensuring 80 books in that subject.
The answer is C.
Answer: C
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 8500. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Options:
A)30.05%
B)13.15%
C)40%
D)27.15%
E)None of these
Rationale: The total CP = Rs. 16000 + Rs. 8500 = Rs. 24500 and SP = Rs. 31150
Profit(%) = (31150 - 24500 )/24500* 100 = 27.15%
ANSWER:D
Answer: D
Question: At a certain college, 60 percent of the total number of students are freshmen. If 40 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Options:
A)4%
B)8%
C)4.2%
D)4.8%
E)5%
Rationale: Let's say there is a TOTAL of100students at this college.
60 percent of the total number of students are freshmen.
# of freshmen = 60% of 100 =60
40 percent of the fresh-men are enrolled in the school of liberal arts...
Number of liberal arts freshmen = 40% of 60 =24
...and, of these, 20 percent are psychology majors...
Number of liberal arts freshmen who are psychology majors = 20% of 24=4.8
What percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
4.8/100= 4.8%
Answer:D
Answer: D
Question: In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
Options:
A)7/12
B)5/12
C)3/8
D)1/3
E)1/4
Rationale: Now, rectangle R has an area of 3*4=12. All point that has y-coordinate greater than x-coordinate lie above the line y=xy=x, so in yellow triangle, which has an area of 1/2*3*3=4.5. So, the probability equals to favorable outcomes/total=yellow triangle/rectangle R=4.5/12=3/8.
Answer: C.
Answer: C
Question: A shop sells bicycles and tricycles. In total there are 9 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Options:
A)b=2,t=3
B)b=5,t=3
C)b=6,t=3
D)b=2,t=5
E)b=3,t=4
Rationale: Let b be the number of bicycles and let t be the number of tricycles.
Set up the equations
b+t=9............(1)
2b+3t=21............(2)
Rearrange equation (1) and substitute into equation (2)
2b+27-3b=21
-b=-6
b=6
Calculate the number of tricycles t
t=9−b
=9−6
=3
There are 3 tricycles and 6 bicycles.
Answer is C.
Answer: C
Question: One copy machine can make 25 copies a minute, and a second copy machine makes 35 copies a minute. If the two copiers work together, how long would it take them to make 4,800 copies?
Options:
A)30 minutes
B)40 minutes
C)60 minutes
D)70 minutes
E)80 minutes
Rationale: Total work done by both machines in a minute = 25 + 35 = 60 copies
Total number of copies required = 6000
Time = 4800/60 = 80 mins
Answer E
Answer: E
Question: By selling 15 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Options:
A)2.15
B)4.2
C)5.18
D)3.75
E)4.2
Rationale: 40% --- 15
160% --- ?
40/160 * 15 = 3.75
Answer: D
Answer: D
Question: A set of numbers has the property that for any number t in the set,t+3 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 2
II. 5
III. 7
Options:
A)II only
B)I only
C)I,II only
D)II,III only
E)III only
Rationale: question is asking for must be there elements.
According to the question if t is there t+3 must be there.
if -1 is the starting element the sequence is as follows.
S ={-1,2,5,8,11....}
if -1 is not the starting element the sequence is as follows
S = {...-4,-1,2,5,8,11...}
By observing the above two sequences we can say that 2,5 must be there in set S.
Answer : C
Answer: C
Question: Nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Options:
A)Rs.117
B)Rs.100
C)Rs.110
D)Rs.107
E)Rs.98
Rationale: Let the average expenditure of all nine be Rs.x
Then 12*8+(x+8)=9x or 8x=104 or x=13.
Total money spent = 9x=Rs.(9*13)=Rs.117.
Answer is A.
Answer: A
Question: Three friends were having a party and they ordered garlic bread sticks from a nearby restaurant. Upon arrival, they divided the number of sticks among them equally. After each one of them have had four breadsticks, the total number of breadsticks that remained were equal to the breadsticks that each one of them had upon equal division.
With the data given, can you calculate the original number of garlic bread sticks ?
Options:
A)13
B)26
C)22
D)19
E)18
Rationale: E
18
Let us suppose that there were (3 * G) garlic bread sticks originally.
On dividing equally, the number of bread sticks with each of the friend = G
Each one of them ate four. The remaining sticks with each one of them = (G - 4)
Now, the total number of breadsticks left = 3 * (G - 4)
This number is equal to the breadsticks each one of them had after division.
=> 3 * (G - 4) = G
(3 * G) - 12 = G
2 * G = 12
G = 6.
Therefore, the number of breadsticks originally = 3 * G = 3 * 6 = 18.
Answer: E
Question: In what time will a train 200 meters long completely pass an electric pole, if it travels at a speed of 80kmph.
Options:
A)7
B)9
C)5
D)10
E)3
Rationale: Sol.
Speed = [ 80x5/18] m/sec =22.2 m / sec.
Time taken = (200/22.2)sec = 9 sec.
Answer B
Answer: B
Question: A student multiplied a number by 3/5	instead of	5/3.What is the percentage error in the calculation?
Options:
A)34%
B)44%
C)54%
D)64%
E)74%
Rationale: Let the number be x.
Then, error =(5/3)x -	(3/5)	x =(16/15)x.
Error% =((16/15)x)	x (3/5x)x 100% = 64%.
Answer:D
Answer: D
Question: Rose went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)19
B)19.7
C)19.9
D)20.1
E)20.4
Rationale: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
B)
Answer: B
Question: If y ≠ 3 and 2h/y is a prime integer greater than 2, which of the following must be true?
I. h = y
II. y = 1
III. h and y are prime integers.
Options:
A) None
B) I only
C) II only
D) III only
E) I and II
Rationale: Note that we are asked which of the following MUST be true, not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.
So we should try to make the listed statements not true for some h and y (which satisfy y≠3 and 2h/y=prime>2).
I. h = y --> not necessarily true: h=3 and y=2 (2h/y=3=prime>2);
II. y=1 --> not necessarily true: h=3 and y=2 (2h/y=3=prime>2);
III. h and y are prime integers --> not necessarily true: h=10 and y=4 (2h/y=5=prime>2).
Answer: A.
Answer: A
Question: In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Options:
A)5/6
B)5/9
C)5/1
D)5/3
E)7/6
Rationale: Let us say the ratio of the quantities of cheaper and dearer varieties
= x : y
By the rule of allegation, x/y
= (87.5 - 7.50) / (7.50 - 6) =5/6
Answer: A
Answer: A
Question: If m > 1 and n = 2^(m−2), then 4^m =
Options:
A)16n^2
B)4n^2
C)n^2
D)n^2/4
E)n^2/16
Rationale: n = 2^(m-2) = 2^m/4
2^m = 4n
4^m = (2^m)^2 = (4n)^2 = 16n^2
The answer is A.
Answer: A
Question: If a light flashes every 6 seconds, how many times will it flash in 1/2 of an hour?
Options:
A)301 times
B)351 times
C)401 times
D)451 times
E)481 times
Rationale: In 1/2 of an hour there are 30*60 = 1800 seconds
The number of 6-second intervals = 1800/6 = 300
After the first flash, there will be 300 more flashes for a total of 301.
The answer is A.
Answer: A
Question: If the average (arithmetic mean) of a and b is 50 and the average of b and c is 70, what is the value of c − a?
Options:
A)40
B)50
C)90
D)140
E)It cannot be determined from the information given.
Rationale: -(a + b = 100)
b + c=140
c-a=40
A.40
Answer: A
Question: The average weight of a group of 30 friends increases by 2 kg when the weight of their football coach was removed. If average weight of the group after removing the weight of the football coach is 28 kg, what is the weight of their football coach?
Options:
A)31 kg
B)60 kg
C)61 kg
D)62 kg
E)88 kg
Rationale: let c=coach's weight
original total weight=(30 friends)(30 kg avge)=900kg
(900-c)/(30-1)=28 kg avge
c=88 kg
Answer - E
Answer: E
Question: If y is an integer and x = 3y + 2, which of the following CANNOT be a divisor of x?
Options:
A)4
B)6
C)8
D)9
E)10
Rationale: Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form:
n = 3*k, where k is an integer
And if a number is a multiple of 6, it will be in a form :
m = 6*l, where l is an integer
so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer.
In other words, the prime factorization of m must have 3 as a factor, if it's a multiple of 6, but the expression can't have that (as explained by Bunuel), so it can't be a multiple of 6 either.
Answer is B
Answer: B
Question: Of the 800 employees of Company X, 90 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
Options:
A)200
B)160
C)112
D)80
E)600
Rationale: The # oflong-termemployees is 90%*800=720.
After y of them retire new # oflong-termemployees would become 720-y.
Total # of employees would become 800-y.
We want 720-y to be 60% of 800-y --> 720-y=(800 -y)*60% --> y = 600.
Answer: E.
Answer: E
Question: If 1/a + 1/a + 1/a is an integer, which of the following must also be an integer?
Options:
A)12/a
B)3/a
C)6/a
D)9/a
E)15/a
Rationale: 1/a + 1/a + 1/a
=3/a
Answer B
Answer: B
Question: List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median W of List I is equal to the sum of the median of list II and the mode of list II, then y equals
Options:
A)5
B)7
C)8
D)W=9
E)10
Rationale: mode of list ii =3
median W of list ii =4+6/2 =5
sum of mode + mean = 3+ 5=8
now to make 8 as the median we need to find a value of y such that if the no. of terms in list 1 are odd then y=8 else if even then 7+y /2=8
here its even so
7+y/2=8 from this y= 9 (D)
Answer: D
Question: If y exceeds x by 26%, then x is less than y by?
Options:
A)16 2/8%
B)20 8/3%
C)20 40/63%
D)76 2/3%
E)20 2/3%
Rationale: X=100	y=126
126------26
100-------? => 20 40/63%
Answer:C
Answer: C
Question: The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.5 the sixth number is?
Options:
A)11.4
B)11.3
C)11.8
D)12.1
E)11.1
Rationale: 1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.5 = 69
63 + 69 = 132 – 119.9 = 12.1
6th number = 12.1
Answer: D
Answer: D
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/3th of the other, how many centimeters will the shorter piece be?
Options:
A)35
B)20
C)28
D)36
E)30
Rationale: 1: 2/3 = 3: 2
2/5 * 70 =28
Answer:C
Answer: C
Question: If the area of a circle decreases by 30%, then the radius of a circle decreases by
Options:
A)20%
B)16%
C)36%
D)64%
E)None of these
Rationale: If area of a circle decreased by x % then the radius of a circle decreases by
(100−10√100−x)%=(100−10√100−30)%
= (100−10√70)%
= 100 - 84 = 16%
Answer B
Answer: B
Question: The ratio of two numbers is 2 : 5 and their H.C.F. is 5. Their L.C.M. is
Options:
A)50
B)22
C)56
D)27
E)67
Rationale: Explanation:
Let the numbers be 2x and 5x. Then, their H.C.F. = x. So, x = 5.
So, the numbers 10 and 25.
L.C.M. of 10 and 25 = 50.
Option A
Answer: A
Question: 60 is subtracted from 50% of a number, the result is 10. Find the number?
Options:
A)150
B)120
C)266
D)288
E)271
Rationale: (50/100) * X – 50 = 10
5X = 600
X = 120
Answer:B
Answer: B
Question: Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.130. How much was lent at 5%?
Options:
A)2000
B)2777
C)2688
D)1000
E)2871
Rationale: (x*5*1)/100 + [(2500 - x)*6*1]/100 = 130
X = 2000
Answer: A
Answer: A
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Options:
A)2 : 3 : 4
B)6 : 7 : 8
C)6 : 8 : 9
D)6 : 8 : 7
E)None of these
Rationale: let 100% seats are there in all then mathematics increased by 40% then
5*140/100=7
physics is increased by 50% then
7*150/100=21/2
biology increased by 75% then
8*175/100=14
then ratios of increasing seats are 7:21/2:14
14:21:28
2:3:4
ANSWER:A
Answer: A
Question: 7M-20=2M,THEN M+7 IS EQUAL TO?
Options:
A)9
B)10
C)11
D)12
E)13
Rationale: 7m-20=2m
so, 5m=20
so, m+7=11
ANSWER:C
Answer: C
Question: Let A = {a, b, c, d, e, f} and B = {b, d, f, g}.Find B-A
Options:
A){A}
B){G}
C){L}
D){B}
E){F}
Rationale: A = {a, b, c, d, e, f}
B = {b, d, f, g}
correct answer :B - A = {g)
B
Answer: B
Question: Deepak deposited $9,000 to open a new savings account that earned 12 percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Deepak account one year after the account was opened?
Options:
A) $10,200
B) $10,092
C) $10,105
D) $9,405
E) $10,260
Rationale: Approach #1:
12 percent annual interest compounded semi-annually --> 6% in 6 moths.
For the first 6 moths interest was 6% of $9,000, so $540;
For the next 6 moths interest was 6% of $9,000,plus6% earned on previous interest of $540, so $540+$12=$552;
Total interest for one year was $540+$552=$1092, hence balance after one year was $9,000+ $1,092=$10,092.
Answer: B.
Answer: B
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 4 hours, how long after he passed the gas station did Paul catch up with Mary?
Options:
A)2
B)1.5
C)1.6
D)1.7
E)1.25
Rationale: d = rt
M: r = 50mph, t = t + 1/4hr
d = 50 (t + 1/4)
P: r = 60, t = t
d = 60t
since they went the same distance:
50t + 50/4 = 60t
10t = 50/4
t = 1.25 or 1 hr, 15min
E
Answer: E
Question: A certain bag contains 100 balls â€” 50 white, 20 green, 10 yellow, 17 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Options:
A)0.9
B)0.75
C)0.6
D)0.8
E)0.5
Rationale: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (50 + 20 + 10)/100 = 80/100 = 0.8.
Answer is D
Answer: D
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 38.7%. What would have been the percentage of profit earned if no discount had been offered?
Options:
A)28.5
B)46
C)30
D)Data inadequate
E)None of these
Rationale: Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.
Then printed price = 100Ã—(100+38.7)/(100âˆ’5) =146
Hence, required % Profit = 146 â€“ 100 = 46%
Answer B
Answer: B
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is need not be positive
II.	The slope of L is negative
III.	L exactly passes through 2 quadrants
Options:
A)I only
B)II only
C)III only
D)I and II only
E)I and III only
Rationale: Let (m,n) = (2,3)
(-m,-n) = (-2,-3)
Slope = (3+3)/(2+2) = 6/4 = 3/2
So II may not be true
Let (m,n) = (2,-3) then (-m,-n) = (-2,3)
So slope = (3 +3)/(-2-2) = -3/2
so I may be true
So such a line would be -> (y - 3) = 3/2(x - 2)
=> 2y - 6 = 3x - 6
=> 2y - 3x = 0, hence no x or y intercept, so it passes through origin.
III is true.
Answer - E
Answer: E
Question: P alone can complete a piece of work in 12 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Options:
A)6 (1/4) days
B)9 days
C)7 (3/4) days
D)8 days
E)9 (3/4) days
Rationale: Work done by P alone in one day = 1/12th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/12 of the total) = 1/36 of the total.
Work done by P and Q, working together in one day = 1/12 + 1/36 = 4/36=1/9 of the total
They would take 9 days to complete the work working together.
ANSWER:B
Answer: B
Question: A restaurant meal cost $18.5 and there was no tax. If the tip was more than 30 percent but less than 10 percent of the cost of the meal, then the total amount paid must have been between
Options:
A)$24 and $20
B)$25 and $23
C)$38 and $40
D)$37 and $39
E)$36 and $37
Rationale: The total amount for the meal was between 18.5*1.3=24.05 and 18.5*1.1=~20.35. Only option which covers all possible values of the meal is A.
Answer: A.
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Options:
A)Rs.1000
B)Rs.1140
C)Rs.860
D)Rs.760
E)Rs.500
Rationale: Explanation:
90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
ANSWER IS A
Answer: A
Question: A man travels 250km by train at 50km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Options:
A)35.3km/hr
B)42.5km/hr
C)48.9km/hr
D)52.6km/hr
E)27.6km/hr
Rationale: Total distance traveled = 250+200+300+100 = 850km
Total time taken = 250/50 + 200/20 + 300/100 + 100/50 = 20 hrs
Average speed =850/20 = 42.5km/hr approximately ;
Answer is B
Answer: B
Question: A train covers a certain distance at a speed of 150kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Options:
A)700km/hr
B)600km/hr
C)500km/hr
D)400km/hr
E)300km/hr
Rationale: Explanation:
Distance = 150×4 = 600km
Required speed = (600/2) = 300km/hr
Answer: Option E
Answer: E
Question: Rounded to three decimal places, 1.001^4 =
Options:
A)1.004
B)1.006
C)1.008
D)1.012
E)1.016
Rationale: As compared to 1, 0.001 is a very small quantity. Thus, we can write (1+0.001)^4 is nearly equal to (1+4*0.001) = 1.004.As the question asks for approximation to three decimal places, the further terms will anyways not come into picture.
A
Answer: A
Question: If 40% of a certain number is 160, then what is 90% of that number?
Options:
A)270
B)380
C)260
D)360
E)290
Rationale: Explanation:
40% = 40*4 = 160
90% = 90*4 = 360
Answer: Option D
Answer: D
Question: An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 12 hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
Options:
A)4 hours
B)12hours
C)8hours
D)5hours
E)15hours
Rationale: Work done by the leak in 1 hour = 1/3 - 1/12 = 1/4
The leak will empty the tank in 4hours
Answer is A
Answer: A
Question: How many seconds does Sandy take to cover a distance of 600 meters, if Sandy runs at a speed of 18 km/hr?
Options:
A)100
B)120
C)140
D)160
E)180
Rationale: 18 km/hr = 18000 m / 3600 s = 5 m/s
time = 600 / 5 = 120 seconds
The answer is B.
Answer: B
Question: Four cups of milk are to be poured into a 3-cup bottle and a 6-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 6-cup bottle?
Options:
A) 2/3
B) 7/9
C) 24/9
D) 8/3
E) 3
Rationale: Let x be the # of cups going into the 6 cup bottle.
so.... x/6 = ((4-x)/3)
24 - 6x = 3x
24 = 9x
x = 24/9.
Answer : C
Answer: C