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mathematics
|
Two employees X and Y are paid a total of Rs. 650 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
|
[
"s.200.45",
"s.250.45",
"s.295.45",
"s.300.45",
"s.310.45"
] |
Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 650
But x = 120% of y = 120y/100 = 12y/10
∴12y/10 + y = 650
⇒ y[12/10 + 1] = 650
⇒ 22y/10 = 650
⇒ 22y = 6500
⇒ y = 6500/22 = Rs.295.45
C)
The answer is: C
|
C
|
mathematics
|
Using all the letters of the word "THURSDAY", how many different words can be formed?
|
[
"8!",
"1",
"7",
"6",
"5"
] |
Total number of letters = 8
Using these letters the number of 8 letters words formed is 8P8 = 4.
Answer: A
The answer is: A
|
A
|
mathematics
|
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 960 grams. Find the profit percent.
|
[
"4.166",
"3.1",
"2.1",
"1.256",
"3.759"
] |
Explanation:
(100 + g) / (100 + x) = True measure / Faulty measure
x = 0
true measure = 1000
faulty measure = 960
100 + g / 100 + 0 = 1000 / 960
100+g = 100/96*100
g = 4.166
ANSWER: A
The answer is: A
|
A
|
mathematics
|
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 15 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
|
[
"120",
"80",
"48",
"192",
"40"
] |
Four members worked in ration 2:3:5:6, hence as everyone mentioned, individual work could be taken as 2x, 3x,5x, and 6x. Also this gives us total work as 16x.
But we are told that one of these individual works is 15hrs. hence, possible scenarios, if
(1)2x =15 => 16x = 120 (2) 3x =15 => 16x = 80 (3) 5x =15 => 16x = 48 (4) 6x =15 => 16x = 40
Hence Answer is D 192 which can not be any of these.
The answer is: D
|
D
|
mathematics
|
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
|
[
"2:00pm, 206 km",
"2:00pm, 220 km",
"2:00pm, 200 km",
"2:00pm, 208 km",
"2:00pm, 230 km"
] |
When the second train leaves Mumbai the first train covers 40 * 1 = 40 km
So, the distance between first train and second train is 40 km at 10.00am
Time taken by the trains to meet
= Distance / relative speed
= 40 / (50 -40) = 4 hours
So, the two trains meet at 2 p.m. The two trains meet 4 * 50
= 200 km away from Mumbai.
Answer: C
The answer is: C
|
C
|
mathematics
|
If X = 2 + 1/(1+1/(1-1/2))then the value of 4x+7/3?
|
[
"9 2/3",
"10 1/3",
"11",
"11 2/3",
"12"
] |
X = 2 + 1/(1+1/(1-1/2))
= 2 + 1/(1+2)
= 2 + 1/3
X = 7/3 ==> 4X + 7/3 => 4(7/3) + 7/3
==> 28/3 + 7/3
==> 35/3
==> 11 2/3.
D)
The answer is: D
|
D
|
mathematics
|
The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discount ed the price by 10%, and the car was finally sold. What price was the car sold for?
|
[
"$25,200",
"$25,000",
"$24,948",
"$24,542",
"$23,658"
] |
The car is sold for 1.1*0.9*25200
=0.99 * 25200
=(1 - 0.01) * 25200
=25200 - 252
=24948
C is the answer
The answer is: C
|
C
|
mathematics
|
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
|
[
"(1/3)",
"(1/8)",
"(2/8)",
"(1/16)",
"None"
] |
Explanation: This is a simple division series; each number is one-half of the previous number. In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
(1/2)/2 = 1/4
(1/4)/2 = 1/8 and so on.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 95%, what was the average score for the entire class?
|
[
"68%",
"70%",
"72%",
"74%",
"77%"
] |
70% of the class scored 65% and 30% of the class scored 95%.
The difference between 65% and 95% is 30%.
The average will be 65% + 0.3(30%) = 74%.
The answer is D.
The answer is: D
|
D
|
mathematics
|
there is one designed bedsheets having length 6m and breadth 4m.in the middle there is square shape design with 3m side.calculate the % of bedsheet which do not have any design.
|
[
"62",
"60",
"75",
"62.5",
"65"
] |
area of bedsheet=24m2.
area of square shape design=9m2.
undesigned area=24-9=15m2.
%of undesigned area=15/24*100=62.5%
answer D
The answer is: D
|
D
|
mathematics
|
The length of a rectangle is halved, while its breadth is tripled. Wat isthe % change in area?
|
[
"20%",
"40%",
"50%",
"60%",
"70%"
] |
Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
The answer is: C
|
C
|
mathematics
|
A professional janitor can clean a certain high school in 8 hours, working at a constant rate. A student sentenced to detention can clean that same high school in (10+10) hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together?
|
[
"-$56",
"-$6",
"$0",
"$6",
"$8"
] |
A professional janitor can clean a certain high school in 8 hours
So (applying rule #1), the janitor can clean 1/8 of the school in ONE HOUR
A student sentenced to detention can clean that same high school in 20 hours
So (applying rule #1), the student can clean 1/(10+10) or 1/20 of the school in ONE HOUR
So, COMBINED, the student and janitor can clean (1/8 + 1/20) of the school in ONE HOUR
1/8 + 1/20 = 5/40 + 2/40 = 7/40
So, in ONE HOUR they can clean 7/40 of the school.
Applying rule #2, it will takethem40/7 hoursto clean the ENTIRE school.
The janitor earns $21/hour and the student earns $7/hour, so their combined rate is$28/hour.
Theircombined wages= (pay rate)(time) = ($28/hour)(40/7 hours) =$160
Working ALONE, the janitor takes 8 hours and earns $21/hour
So, working alone, the janitor's earnings = (pay rate)(time) = ($21/hour)(8 hours) =$168
$168-$160= $8, so the answer is E
The answer is: E
|
E
|
mathematics
|
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $15,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
|
[
"20000",
"30000",
"40000",
"30301.5",
"50000"
] |
A = P(1+r/n)^nt
A= total amount accrued
P = principal deposited
r = rate of interest in decimal form
n = number of times per year, interest compounded
t = time in number of years.
.
x(1+0.02/2)^2 - x = 15,000(1+0.04/4)^4 - 15,000 [ when the principal is subtracted from the total amount accrued , the resulting difference is the interest portion and question states interests are equal)
=> x[(1.01)^2 - 1] = 15,000[(1.01)^4 - 1]
=> x[(1.01)^2 - 1] = 15,000[(1.01)^2+1][(1.01)^2-1] --> Using a^2-b^2 = a+b X a-b formula and cancel common expression on both sides
=> x = 15,000(1.0201+1) =30301.5
Hence answer is D.
The answer is: D
|
D
|
mathematics
|
If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value T of the product xy?
|
[
"-12",
"-3",
"0",
"2",
"None of the above"
] |
How to deal with inequalities involving absolute values? First example shows us the so callednumber case
In this case we have |y + 3| ≤ 3 which is generalized |something| ≤ some number. First we solve as if there were no absolute value brackets:
y + 3 ≤ 3
y ≤ 0
So y is 0 or negative
Second scenario - remove the absolute value brackets. Put a negative sign around the other side of the inequality,ANDflip the sign:
y + 3 >= -3
y >= -6
Therefore we have a possible range for y: -6=<y<=0
Ok, so far so good, we're half way through. What about x?
Here's the formula: 2y – 3x + 6 = 0, rewrite it as 2y + 6 = 3x.
You can say that 2y + 6 is a multiple of 3 (=3x). So all values which must be integer must also satisfy this constraint. I'm just saying that, so it's easier to evaluate all the possible numbers (-6, -3, 0). If you plug in y = 0, x will be 2 and xy = 0 as the lowest possible value T.
Hence, Answer Choice C is the one to go.
The answer is: C
|
C
|
mathematics
|
Find the cost of fencing around a circular field of diameter 14 m at the rate of Rs.2.50 a meter?
|
[
"288",
"110",
"772",
"592",
"261"
] |
2 * 22/7 * 7 = 44
44 * 2.5 = Rs.110
Answer: B
The answer is: B
|
B
|
mathematics
|
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams S could be selected from the eight candidates?
|
[
"56",
"120",
"210",
"1120",
"6720"
] |
If an executive team is considered different if any of the same people hold different offices,....
so you will not have answer as 6720..
president could be by any of 8 person..
treasurer could be any out of remaining 7 person..
remaining three order does not matter, so we have to choose 3 out of 6=6c3=20..
total ways S= 8*7*20=1120..
ans D...
The answer is: D
|
D
|
mathematics
|
Set S is given as S = {1,3,5,7,9,11,13,15,17}. In how many ways can three numbers be chosen from Set S such that the sum of those three numbers is 18?
|
[
"zero",
"one",
"two",
"three",
"four"
] |
1,3,5,7,9,11,13,15,17 are all odd numbers and as such we can not get an even number from three odd number...
Sum of Odd Number of Odd Numbers = Odd Number..
So, Answer will be (A) Zero...
The answer is: A
|
A
|
mathematics
|
There are 780 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
|
[
"130",
"100",
"125",
"175",
"225"
] |
Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 780.
Hence, we have m+f= 780
Now, we have that half the female participants and one-quarter of the male participants are Democrats.
Let d equal the number of the Democrats.
Then we have the equation f/2 + m/4 =d
Now, we have that one-third of the total participants are Democrats. Hence, we have the equation
d = 780/3 = 260
Solving the three equations yields the solution
f = 260,m= 520, and d= 260.
The number of female democratic participants equals half the female participants equals
260/2 = 130.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
3-3*8+2=
|
[
"A)2",
"B)-13",
"C)-19",
"D)-17",
"of the above"
] |
3-3*6+2 = 5-24 = -19...
so the answer is -19... C
The answer is: C
|
C
|
mathematics
|
Two stations A and B are 110 km apart on a straight line. One train starts from A at 2 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
|
[
"15 a.m",
"10 a.m",
"12 a.m",
"02 a.m",
"05 a.m"
] |
Suppose they meet x hours after 2 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 5 a.m.
Answer:E
The answer is: E
|
E
|
mathematics
|
The cost price of 18 articles is equal to the selling price of 11 articles. Find the profit percent?
|
[
"18 2/15",
"36 2/11",
"45 2/14",
"54 2/16",
"63 7/11"
] |
18 CP = 11 SP
11 --- 2 CP
100 --- ? =>63 7/11%.Answer: E
The answer is: E
|
E
|
mathematics
|
A began business with Rs.36000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
|
[
"1",
"6",
"7",
"8",
"2"
] |
36*12 : 54*x = 2: 1
x = 4
12 -4 = 8
Answer: D
The answer is: D
|
D
|
mathematics
|
In 1990 a total of s earthquakes occurred worldwide, some but not all of which occurred in Asia. If t o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
|
[
"s/t",
"t/s",
"t/(s-t)",
"s/(s-t)",
"1- (t/s)"
] |
We're given a couple of facts to work with:
1) There were a total of s earthquakes
2) Of those earthquakes, t of them occurred in Asia
We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.
Let's TEST VALUES
s = 5 total earthquakes
t = 2 occurred in Asia
Thus, there were 3 earthquakes that DID NOT occur in Asia....
The answer to the question is 2:3
We just need to plug in the values for s and t and find the match...
Answer A: s/t = 5/2 NOT a match
Answer B: t/s = 2/5 NOT a match
Answer C: t/(s-t) = 2/(5-2) = 2/3 This IS a match
Answer D: s/(s-t) = 5/(5-2) = 5/3 NOT a match
Answer E: 1 - (t/s) = 1-2/5 = 3/5 NOT a match
C
The answer is: C
|
C
|
mathematics
|
Find the cube root of 185193.
|
[
"33",
"57",
"99",
"17",
"01"
] |
Observe unit digit here is 3 so unit digit of the answer is 7. Now omit 193. Now find after which perfect cube 193 lies. It is 125. So our tenth place is 5. So answer is 57.
Answer:B
The answer is: B
|
B
|
mathematics
|
If a = (1/5)b and c = 9a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
|
[
"a + 4",
"(11/3)a",
"4a",
"5a",
"(7 1/4)a"
] |
Official Answer: D
The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.
Were told that a =1/5b, which is equivalent to b = 5a. We can plug that in and simplify the average to:a + 5a + c/3
We also know that c = 9a, which we can plug directly into the average expression:
a + 5a + 9a/3
= 15a/3 = 5a, choiceD.
The answer is: D
|
D
|
mathematics
|
Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 1/9 meters. What is value of the radius in meters?
|
[
"2",
"3",
"4",
"6",
"9"
] |
10*0.31 = 3.1 = pi*R^2*h
R^2 = 3.1 / (pi*1/9) which is about 9
R = 3
The answer is B.
The answer is: B
|
B
|
mathematics
|
Two trains of equal length, running with the speeds of 60 and 16 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
|
[
"10.11",
"8.11",
"77.2",
"13.15",
"22.22"
] |
RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 16 = 76 * 5/18
T = 2500/9 * 18/380= 13.15 sec.Answer: D
The answer is: D
|
D
|
mathematics
|
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
|
[
"11",
"21",
"33",
"51",
"61"
] |
Explanation:
Let the pipe B be closed after x minutes.
30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16
=> x = 14/16 * 24 = 21.
Answer:B
The answer is: B
|
B
|
mathematics
|
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
|
[
"27%",
"28%",
"20%",
"16%",
"25%"
] |
Rs.1440 - 1200
= Rs.240 is the interest on Rs.1200 for one year.
Rate of interest
= (100 * 240) / (100 * 1)
= 20% p.a
Answer: C
The answer is: C
|
C
|
mathematics
|
The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability Y that the next couple the maitre 'd seats will not order dessert?
|
[
"20%",
"25%",
"40%",
"60%",
"75%"
] |
could you use a venn diagram and just go with the number 100.
60 people order dessert and coffee... which is the union of D and C.
Y=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.
B 25%
The answer is: B
|
B
|
mathematics
|
How many seconds will a 500 meter long train moving with a speed of 63 km/hr, take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
|
[
"15s",
"20s",
"25s",
"30s",
"35s"
] |
Distance = 500m
Speed = 63 -3 km/hr = 60 km/hr = 600/36 m/s = 50/3 m/s
Time taken = distance/speed = 500/(50/3) = 30 s
Answer is D.
The answer is: D
|
D
|
mathematics
|
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?
|
[
"120",
"190",
"250",
"370",
"720"
] |
The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it and these 3 vowels should always come together. Hence these 3 vowels can be grouped and considered as a single letter. that is, LDNG(EAI).
Hence we can assume total letters as 5 and all these letters are different. Number of ways to arrange these letters
=5!=5×4×3×2×1=120
In the 3 vowels (EAI), all the vowels are different. Number of ways to arrange these vowels among themselves
=3!=3×2×1=6=3!=3×2×1=6
Hence, required number of ways=120×6=720
Answer: E
The answer is: E
|
E
|
mathematics
|
Find the odd man out. 1, 3, 9, 12, 19, 29
|
[
"12",
"9",
"1",
"3",
"4"
] |
Explanation :
12 is an even number. All other given numbers are odd.. Answer : Option A
The answer is: A
|
A
|
mathematics
|
A shop sells floor tiles at Rs 48 per square meter. A building contractor employs a machine that polishes the tiles that damages 10% of the total number of tiles which cannot be used any more. Calculate the amount that needs to be paid by contractor to tile shop owner, if the hall is of a square shape and has a perimeter of 400 meters?
|
[
"Rs 4,00,000",
"Rs 5,00,000",
"Rs 5,28,000",
"Rs 3,65,000",
"Rs 3,75,000"
] |
4 sides of a square then 400/4=100
area of the hall 100*100=10000
10% damaged so 10000*110/100=11000
48 per square meter then 48*11000=528000
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
|
[
"3 days",
"4 days",
"6 days",
"7 days",
"8 days"
] |
That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself
A)
The answer is: A
|
A
|
mathematics
|
If there are 4 peanuts in a box and Mary puts 12 more peanuts inside, how many peanuts are in the box?
|
[
"8",
"16",
"10",
"11",
"12"
] |
12+4=16
correct answer is B)16
The answer is: B
|
B
|
mathematics
|
10, 25, 45, 54, 60, 75, 80
|
[
"10",
"45",
"49",
"54",
"75"
] |
Each of the numbers except 54 is multiple of 5.
answer : C
The answer is: C
|
C
|
mathematics
|
Length and Breadth of a rectangle is 7 m and 3.5 m respectively. Find the area of circle of maximum radius
|
[
"9.625",
"9.74",
"9.8",
"9.725",
"9.547"
] |
Explanation:
area of circle = πb2/4
= 22/7 × 3.52/4
= 9.625sq.m
Answer: Option A
The answer is: A
|
A
|
mathematics
|
Albert father was 48 years of age when she was born while her mother was 46 years old when her brother 2 years younger to her was born. What is the difference between the ages of her parents?
|
[
"2",
"4",
"6",
"8",
"10"
] |
Mother's age when Albert's brother was born = 46years
Father's age when Albert's brother was born = 48+2 = 50years
Required difference = 50-46 = 4 years
Answer is B
The answer is: B
|
B
|
mathematics
|
Evaluate: 37 - 18÷3×2 =
|
[
"20",
"25",
"27",
"22",
"17"
] |
According to order of operations, 18÷3×2(division and multiplication) is done first from left to right
18÷3×2 = 6 × 2 = 12
Hence
37 - 18÷3×2 = 37 - 12 = 25
correct answer B)25
The answer is: B
|
B
|
mathematics
|
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
|
[
"288",
"132",
"772",
"592",
"261"
] |
2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
Answer: B
The answer is: B
|
B
|
mathematics
|
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
|
[
"3%",
"8%",
"9%",
"4%",
"24%"
] |
SP of first article = 1000
Profit = 20%
CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3
SP of second article = 1000
Loss = 20%
CP = (SP)*[100/(100-L)] = 5000/4 = 1250
Total SP = 2000
Total CP = 2500/3 + 1250 = 6250/3
CP is more than SP, he makes a loss.
Loss = CP-SP = (6250/3)- 2000 = 250/3
Loss Percent = [(250/3)/(6250/3)]*100
=0.04 * 100
= 4%
Answer: D
The answer is: D
|
D
|
mathematics
|
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.10 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
|
[
"0.027",
"0.271",
"0.417",
"0.657",
"0.9"
] |
Probability he hears a song is like:
Tune to A and likes what he is hearing = 0.1
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.9 * 0.1 = 0.09
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program = 0.9^2 * 0.1 = 0.081
Total = 0.271
Ans B
The answer is: B
|
B
|
mathematics
|
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 13 times as heavy as water?
|
[
"1:2",
"2:3",
"4:1",
"5:2",
"6:5"
] |
G = 19W
C = 9W
Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy
1gm gold + x gm copper = x+1 gm of alloy
19W+9Wx = x+1 * 13W
19+9x = 13(x+1)
x = 3/2
Ratio of gold with copper = 1:3/2 = 2:3
Answer is B
The answer is: B
|
B
|
mathematics
|
The average of first five prime numbers greater than 20 is?
|
[
"32.5",
"32.9",
"32.3",
"32.2",
"32.1"
] |
23 + 29 + 31 + 37 + 41
= 161/5
= 32.2
Answer:D
The answer is: D
|
D
|
mathematics
|
At the start of the fall shopping season, a pair of boots cost $700. By the end of the season, the price was reduced to $420. If you waited to purchase the boots at the lower price, what percentage of the original price will you have paid?
|
[
"25%",
"33%",
"50%",
"60%",
"75%"
] |
A certain percentage of questions in the Quant section of the GMAT are just 'math questions' - you'll use a formula, do some calculations and you'll have the answer. This is one of those types of questions. You still have to write everything down and stay organized, but the work involved is relatively straight-forward.
Here, we're told that the original price of the boots is $700 but that the purchase price is $420. We're asked what PERCENTAGE OF the original price is the purchase price.
Original Price = $700
Purchase Price = $420
The percentage of the original price of the boots:
$420/$700 = 3/5 = 60%
D
The answer is: D
|
D
|
mathematics
|
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $1710. What is the average monthly balance maintained by John in his
account during the year?
|
[
"2840",
"5680",
"6840",
"8550",
"28400"
] |
Soln:-
Bank balance is doubled with accumulation of interest to 1710..
this means INTEREST is 1710/2=855 for entire year..
although since interest is 10% of avg MONthly balance, it becomes 8550..
ANSWER:D
The answer is: D
|
D
|
mathematics
|
How many ways are there for 6 males and 3 females to sit (around a circular table) if no male should sit next to a male (and no female next to female) and Mary wants to sit with her back on the wall?
|
[
"6",
"12",
"72",
"100",
"1440"
] |
So Mary has her own chair, fixed position. Other two females around the table can sit in 2 ways: the first to the left of Mary and the second to the right or vise-versa. Now, if 6 males will sit between them then no two female or two male will sit next to each other (female-male-female-male-female-male). But these males on their spots can also sit in different ways, namely in 6! different ways, so total 2*6!=1440
Answer E.
The answer is: E
|
E
|
mathematics
|
When four dice are thrown, what is the probability that the same number appears on each of them ?
|
[
"1/36",
"1/18",
"1/216",
"1/5",
"1/8"
] |
Explanation :
When four dice are rolled the total no of outcomes are : 64
All dice show up same number in the following cases: (1,1,1,1), (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)
So in above six cases, all dice will show up the same number.
Required probability: 6/64 = 1/216
Answer : C
The answer is: C
|
C
|
mathematics
|
A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set?
|
[
"8.54",
"12.56",
"15.25",
"16.66",
"None of these"
] |
Explanation :
The average of the five consecutive positive integers 1,2,3,4 and 5 is:
(1+2+3+4+5)/5=15/5=3.
After removing the the greatest number i.e 5, the new average becomes:
(1+2+3+4)/4=104=2.5.
Now, % drop in the average =(Old average – New average)×100/Old average.
=>(3−2.5)×100/3.
=>100/6=16.66.
Answer : D
The answer is: D
|
D
|
mathematics
|
In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th and 15th terms in sequence S?
|
[
"3(2^16)",
"9(2^15)",
"21(2^14)",
"9(2^14)",
"9(2^13)"
] |
The terms in the sequence can be shown as
a(n) = 2* a(n-1)
So, the sequence will look like: 3, 2*3, (2^2) *3,...
And the nth term will be given as 2^(n-1) *3
Therefore, a(14) = (2^13)*3, a(15) = (2^14) *3,
So, a(14) + a(15) = (2^13) *3 + (2^14) *3
= 3* (2^13) *(1+2) = 3* (2^13) *3
= 9 * (2^13)
Answer : E
The answer is: E
|
E
|
mathematics
|
Susan is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of white, and 1 morsel of bap. The pattern repeats after she leaves the morsel of rye. If Susan drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
|
[
"wheat − wheat − white",
"bap − wheat − wheat",
"white − bap − wheat",
"white − white − white",
"white − white − bap"
] |
In a single round Susan drops 6 morsels.
Remainder (2000/6) = 2
Final action = 2 drops of Wheat --> Options A, C, D and E can be eliminated
Answer: B
The answer is: B
|
B
|
mathematics
|
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
|
[
"356",
"278",
"127",
"279",
"150"
] |
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Answer: E
The answer is: E
|
E
|
mathematics
|
A taxi leaves Point A 5 hours after a bus left the same spot. The bus is traveling 20 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours.
|
[
"34",
"32",
"36",
"38",
"40"
] |
Let the speed of bus be v - 20, speed of taxi be v
The bus travelled a total of 8 hrs and taxi a total of 3 hrs.
Hence 8 * (v-20) = 3v
8v - 160 = 3v
5v = 160
v = 32 mph
B
The answer is: B
|
B
|
mathematics
|
The length of a cold storage is double its breadth. Its height is 3 metres. The area of its four walls(including doors) is 108 m2. Find its volume.
|
[
"206",
"216",
"226",
"246",
"288"
] |
let xbe breadth ,then 2x is the length
then 2x*3*2+x*3*2=108
12x+6x=108
x=108/18=6
length 12,breadth 6 ,height 3
volume=12*6*3=216m^3
ANSWER:B
The answer is: B
|
B
|
mathematics
|
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
|
[
"399",
"383",
"120",
"288",
"133"
] |
When compounded annually, interest
= 12000[1 + 20/100]1 - 12000 = Rs.2400
When compounded semi-annually, interest
= 12000[1 + 10/100]2 - 12000 = Rs.2520
Required difference = 2520 - 2400 = Rs.120
Answer: C
The answer is: C
|
C
|
mathematics
|
Mr. Yutaro’s class contains 6 boys and 10 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
|
[
"9/48",
"9/20",
"1/2",
"27/48",
"13/16"
] |
Probability of a boy being chosen first, then a girl:
6/16 * 10/15
Probability of a girl being chosen first, then a boy:
10/16 * 6/15
Probability of a boy and a girl being chosen:
(6*10+6*10) / (15*16)
=1/2
Answer:C
The answer is: C
|
C
|
mathematics
|
The least number, which when divided by 12, 15, 20 and 63 leaves in each case a remainder of 8 is:
|
[
"448",
"488",
"542",
"1268",
"560"
] |
Required number = (L.C.M. of 12, 15, 20, 63) + 8
= 1260+ 8
= 1268.
answer :D
The answer is: D
|
D
|
mathematics
|
An article when sold for 200 fetches 25 per cent profit. What would be the percentage profit/loss if 6 such articles are sold for 1,056?
|
[
"10 per cent loss",
"10 per cent profit",
"5 per cent loss",
"5 per cent profit",
"None of these"
] |
CP = 200⁄125 × 100 = 160
∴ CP of 6 articles = 6 × 160 = 960
∴ profit = 1056 – 960 = 96
Percentage profit = 96⁄960 × 100 = 10%
Answer B
The answer is: B
|
B
|
mathematics
|
If 9975 kg of wheat is packed in 95 bags, how much wheat will each bag contain?
|
[
"105",
"109",
"119",
"218",
"288"
] |
Solution:
Since 95 bags contain wheat 9975 kg
Therefore, 1 bag contains wheat (9975 ÷ 95) kg
= 105 kg
ANSWER IS A
The answer is: A
|
A
|
mathematics
|
A bus takes 3 hours to cover a distance of 500 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/3th of the previous time?
|
[
"75 Kmph",
"100 Kmph",
"90 Kmph",
"65 Kmph",
"70 Kmph"
] |
Time = 3
Distance = 500
5/3 of 3 hours = 3 * 5/3 = 5 Hours
Required speed = 500/5 = 100 Kmph
B
The answer is: B
|
B
|
mathematics
|
Two painters 'P1' & 'P2' paint the bungalow in 3 days. If P1 alone can paint the bungalow in 12 days, in how many days can 'P2'' alone complete the same paint work?
|
[
"4 days",
"6 days",
"9 days",
"12 days",
"15 days"
] |
EXPLANATION:
Hint:
If a person can do a part of work in 'n' days, then person's work in 1 day = 1/n
As painters P1 & P2 paint the bungalows in 3 days, then work done by both painters = 1/3
As P1 paint it alone in 12 days, then work done by painter P1 = 1/12
Work done by painter P2 = 1/3 – 1/12 = 4 – 1/12 = 3/12 = 1/4
Therefore, same work will be completed by painter P2 in 4 days.
ANSWER IS A
The answer is: A
|
A
|
mathematics
|
Two trains are moving at 85 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
|
[
"5 25/31 sec",
"7 1/17 sec",
"7 2/2 sec",
"8 1/2 sec",
"7 1/9 sec"
] |
70 + 85 = 155 * 5/18 = 775/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/775 = 180/31 = 5 25/31 sec
Answer: A
The answer is: A
|
A
|
mathematics
|
What sum of money will produce Rs.70 as simple interest in 3 years at 3 1/2 percent?
|
[
"667",
"500",
"266",
"288",
"211"
] |
70 = (P*3*7/2)/100
P = 667
Answer: A
The answer is: A
|
A
|
mathematics
|
Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?
|
[
"15 7/9 days",
"16 17/9 days",
"15 1/19 days",
"14 7/12 days",
"14 7/9 days"
] |
1/25 + 1/35 = 12/175
175/12 = 14 7/12 days
ANSWER:D
The answer is: D
|
D
|
mathematics
|
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 less than n. What is y in terms of x ?
|
[
"10 - x",
"9 - x",
"x + 3",
"x - 3",
"x - 9"
] |
Original Digits=xy i.e. Number=10x+y
After reversing the digits:
Digits=yx i.e. Number=10y+x
10y+x is 27 less than 10x+y
10x+y-27=10y+x
10x-x-27=10y-y
9x-27=9y
x-3=y
OR
y=x-3
Ans:D
The answer is: D
|
D
|
mathematics
|
How many odd, positive divisors does 440 have?
|
[
"3",
"8",
"12",
"15",
"24"
] |
Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=3 factors.
Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.
Answer: A.
The answer is: A
|
A
|
mathematics
|
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what X percentage of those asked favoured more than one of the 3 proposals.
|
[
"10",
"12",
"17",
"22",
"30"
] |
Bunuel, my answer for exactly 2 people was 17 and this was my approach:
100%=(A+B+C)-(AnB+AnC+BnC)-5%+22% which leads me to
X=100%=(50+30+20)-(at least 2 people)-5%+22%.C
The answer is: C
|
C
|
mathematics
|
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
|
[
"8 kmph",
"10 kmph",
"12 kmph",
"14 kmph",
"16 kmph"
] |
Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
The answer is: C
|
C
|
mathematics
|
An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 28 gallons of ethanol, how many gallons of fuel A were added?
|
[
"160",
"150",
"100",
"80",
"50"
] |
Say there are A gallons of fuel A in the tank, then there would be 200-A gallons of fuel B.
The amount of ethanol in A gallons of fuel A is 0.12A;
The amount of ethanol in 200-A gallons of fuel B is 0.16(200-A);
Since the total amount of ethanol is 28 gallons then 0.12A+0.16(200-A)=28 --> A=100.
Answer: C.
The answer is: C
|
C
|
mathematics
|
A person can row at 9 kmph and still water. He takes 4 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?
|
[
"28",
"26",
"25",
"21",
"20"
] |
Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 4.5
=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.
Answer:E
The answer is: E
|
E
|
mathematics
|
If 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
|
[
"41",
"42",
"36",
"44",
"45"
] |
n(n-1)/2 =9*8/2
=36
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?
|
[
"66.66",
"86.88",
"70.05",
"76.66",
"89.99"
] |
Q'S height over P's = ((40/(100-40)) * 100
= 66.66%
ANSWER A
The answer is: A
|
A
|
mathematics
|
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 7 boys when a boy gets any no. of prizes?
|
[
"55",
"58",
"343",
"354",
"200"
] |
Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (7 x 7 x 7) ways = 73 ways = 343 ways Or nr ways = 73 ways = 343 ways
The answer is: C
|
C
|
mathematics
|
If f(x) =6* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
|
[
"f(x)",
"-f(x)",
"1/f(x)",
"-1/f(x)",
"-6*f(x)"
] |
f(1/x) =6* ((1/x)^4 - 1) / ((1/x)^2)
= 6*((1/x^4) - 1) / (1/x^2)
= 6*((1-x^4)/(x^4)) / (1/x^2)
= 6*(1-x^4)/(x^2)
= - 6*( (x^4) -1) / (x^2)
= -6f(x)
Answer is E.
The answer is: E
|
E
|
mathematics
|
Which of the following has 15^80 as a factor?
|
[
"15^60",
"30^40",
"40^80",
"60^60",
"90^80"
] |
Here 15^80 = 3^80 * 5^80 Only Option E has both .
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The area of the largest circle that can be drawn inside a square of side 112 Cm in length is:
|
[
"9856",
"8646",
"2616",
"1636",
"3606"
] |
Radius of required circle = 56 Cm
its area = 22/7 × 56 × 56
176 × 56 = 9856 Cm(power)2
Answer is A.
The answer is: A
|
A
|
mathematics
|
A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was
|
[
"665",
"287",
"297",
"255",
"191"
] |
Explanation:
Let the total score be x.
(x + 92 - 85) / 8 = 84.
So, x + 7 = 672 => x = 665.
Answer: A
The answer is: A
|
A
|
mathematics
|
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
|
[
"8m",
"7m",
"5m",
"2m",
"1m"
] |
Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b2) = (1 + 108 1/3 %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l2 + b2) = 25lb
Adding 24lb on both sides
12l2 + 12b2 + 24lb = 49lb
12(l2 + b2 + 2lb) = 49lb
but 2(l + b) = 28 => l + b = 14
12(l + b)2 = 49lb
=> 12(14)2 = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l - b = 8 - 6 =2m.
Answer:D
The answer is: D
|
D
|
mathematics
|
What is the remainder when 7^74 - 5^74 is divided by 12?
|
[
"1",
"0",
"2",
"3",
"None of these"
] |
easiest way for me: 7^74 - 5^74 = (49)^37-25^37 = (12*4+1)^37 - (12*2+1)^37 -> remainder is 1^37 - 1^37 = 0
Ans : B
The answer is: B
|
B
|
mathematics
|
A train 550 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
|
[
"8",
"6",
"5",
"54",
"30"
] |
Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 550 * 3/55 = 30 sec.
Answer: E
The answer is: E
|
E
|
mathematics
|
Evaluate : (2.39)(power 2) - (1.61) (power 2) / 2.39 - 1.61
|
[
"4",
"5",
"6",
"7",
"8"
] |
Given Expression = a(power 2) - b(power 2) / a-b
= (a + b)(a - b) / (a-b)
= (a + b) = (2.39 + 1.61) = 4.
Answer is A.
The answer is: A
|
A
|
mathematics
|
(23341379 × 72) = ?
|
[
"1223441288",
"2142579288",
"2142339288",
"2142339277",
"1680579288"
] |
23341379 × 72
= 23341379(70 + 2)
= (23341379 × 70) + (23341379 × 2)
= 1633896530 + 46682758
= 1680579288
Answer is E.
The answer is: E
|
E
|
mathematics
|
In a urban village of india named "owlna" , 75% people have refrigerator , 90% people have television , 85% people got computers and 75% got Air-conditionor. how many people(minimum) got all these luxury.
|
[
"23%",
"17%",
"11%",
"10%",
"25%"
] |
E
10%
100 - [ (100-75)+(100-90)+(100-85) +(100-75)]
=100-(25+10+15+25)
=100-75
The answer is: E
|
E
|
mathematics
|
If (1 – 1.25)N = 4, then N =
|
[
"−400",
"−16",
"−4",
"4",
"400"
] |
(1 – 1.25)N = 4
Simplify to get: -0.25N = 4
Rewrite as (-1/4)N = 4
Multiply both sides by -4 to get: N = -16
Answer: B
The answer is: B
|
B
|
mathematics
|
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions?
|
[
"708 m",
"704 m",
"774 m",
"714 m",
"563.2 m"
] |
In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 400 * 2 * 22/7 * 22.4 = 56320 cm
= 563.2 m
Answer:E
The answer is: E
|
E
|
mathematics
|
A fruit seller had some oranges. He sells 20% oranges and still has 400 oranges. How many oranges he had originally?
|
[
"420",
"700",
"220",
"500",
"None of these"
] |
Explanation :
He sells 20% of oranges and still there are 400 oranges remaining
=> 80% of oranges = 400
⇒ (80 × Total Oranges)/100 = 400
⇒ Total Oranges/100 = 5
⇒ Total Oranges = 5 × 100 = 500
Answer : Option D
The answer is: D
|
D
|
mathematics
|
A bottle of coke contains 200gm in place of 1kg of fluid. Find the actual % difference, given a 10% gain on initial fluid?
|
[
"32.5%",
"112.5%",
"35%",
"40%",
"50%"
] |
fluid price of 200gm = 100+10 = 110
Difference = 110-20 = 90
% of difference = 90*100/80 =112.5 %
Answer is B
The answer is: B
|
B
|
mathematics
|
Which of the following describes all values of x for which 4–x^2 >= 0?
|
[
"x >= 1",
"x <= –1",
"0 <= x <= 1",
"x <= –1 or x >= 1",
"–2 <= x <= 2"
] |
4 - x^2 >=0
means x^2 - 4 <=0
=> (x-2)(x+2) <= 0
=> -2 <= x <= 2
Answer - E
The answer is: E
|
E
|
mathematics
|
There are 84 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 10 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
|
[
"20",
"31",
"42",
"47",
"64"
] |
x + (x - 10) = 84 --> x = 47.
Answer: D.
The answer is: D
|
D
|
mathematics
|
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
|
[
"700",
"720",
"800",
"820",
"830"
] |
Option 'B'
The answer is: B
|
B
|
mathematics
|
If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is
|
[
"4%",
"7%",
"6%",
"4%",
"3%"
] |
Explanation:
Let the Principal(P) be x
Then, Simple Interest(SI) = x/5
Time(T) = 5 years
Rate of interest per annum(R) = (100×SI)/PT
= (100 × (x/5)/(x × 5) = 20/5 = 4%
Answer: Option D
The answer is: D
|
D
|
mathematics
|
A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $80?
|
[
"24",
"25",
"27",
"30",
"32"
] |
Every two days, the net total is $5.
After 24 days, the worker will have $60.
On day 25, the worker will receive $20 for a net total of $80.
The answer is B.
The answer is: B
|
B
|
mathematics
|
Everyone shakes hands with everyone else in a room. Total number of handshakes is 55. Number of persons=?
|
[
"14",
"12",
"11",
"15",
"16"
] |
In a room of n people, the number of possible handshakes is C(n,2) or n(n-1)/2
So n(n-1)/2 = 55 OR n(n-1)=110 OR n=11
Answer is (C)
The answer is: C
|
C
|
mathematics
|
Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, how many cases can Kramer pack in 1 hours?
|
[
"60X/Y.",
"120X/Y.",
"60Y/X.",
"120Y/X.",
"(X + Y)/60."
] |
Kramer can pack X boxes per min.
Therefore in 1 hrs(60mins)he can pack 60X boxes.
If there are Y boxes in one case then then the total number of cases packed by Kramer = 60X/Y
(ANSWER A)
The answer is: A
|
A
|
mathematics
|
Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long Q would it take Victor to complete 10 jobs without any supervision?
|
[
"34",
"52",
"60",
"70",
"92"
] |
Rate when supervised = (job)/(time) = 1/t.
Rate when unsupervised = (job)/(time) = 1/(t+3).
For 144/2=72 days he is supervised and for 144/2=72 days he is unsupervised and does 36 jobs:
72/t + 72/(t+3) = 36 --> t=3 days --> t+3 = 6 days.
Victor to complete 10 jobs without any supervision will need Q 10(t + 3) = 60 days.
Answer: C.
The answer is: C
|
C
|
mathematics
|
Reduce
803/876
to the lowest terms.
|
[
"11/12",
"23/24",
"26/27",
"4/7",
"6/9"
] |
Explanation:
HCF of 803 and 876 is 73, Divide both by 73, We get the answer 11/12
Option A
The answer is: A
|
A
|
mathematics
|
Its a very poor village so sahara group organized a beneficiary cricket match for these people.
The event raised Rs300000.
Tickets were priced as follows:
Rs 748 for males
Rs 712 for ladies
Rs 45 for kids
How many males,ladies and kids were there ?
|
[
"100 males , 209 ladies & 52 kids",
"120 males , 359 ladies & 72 kids",
"149 males , 259 ladies & 92 kids",
"150 males , 256 ladies & 92 kids",
"135 males , 259 ladies & 50 kids"
] |
C
149 males , 259 ladies & 92 kids
The answer is: C
|
C
|
mathematics
|
David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
|
[
"75",
"37",
"26",
"97",
"27"
] |
Average = (76 + 65 + 82 + 67 + 85 )/ 5 = 375/5
= 75.
Answer: A
The answer is: A
|
A
|
mathematics
|
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
|
[
"5000",
"4500",
"5400",
"5600",
"6000"
] |
Let the investment 9% stock rs x
then investment in 10% stock = rs(9800-x)
9/75 xx = 10/80 *(9800-x)
3x/25 = 9800 - x
x=5000
ANSWER A
The answer is: A
|
A
|
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