subject
stringclasses 1
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stringlengths 3
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stringclasses 5
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|---|---|---|---|---|
mathematics
|
Out of first 35 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
|
[
"17/35",
"7/35",
"37/70",
"27/35",
"27/70"
] |
n(S) = 35
n(Even no) = 17 = n(E)
n(Prime no) = 11 = n(P)
P(EᴜP)
= 17/35 + 11/35 - 1/35
= 27/35
Answer:D
The answer is: D
|
D
|
mathematics
|
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 72.25, the number of the member is the group is:
|
[
"57",
"67",
"77",
"85",
"97"
] |
Explanation:
Money collected = (72.25 x 100) paise = 7225 paise.
∴ Number of members = √(7225) = 85.
Answer: D
The answer is: D
|
D
|
mathematics
|
The sector of a circle has radius of 14 cm and central angle 135o. Find its perimeter?
|
[
"91.5 cm",
"61 cm",
"28.9 cm",
"29.2 cm",
"98.2 cm"
] |
Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 14) + 2(14)
= 33 + 28 = 61 cm
Answer:B
The answer is: B
|
B
|
mathematics
|
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
|
[
"29.25",
"29.29",
"29.12",
"29.98",
"79.12"
] |
Average of 9 = x
9x = 8 * 3 + x * 2 x = 3.25
Total = 9 * 3.25 = 29.25
Answer:A
The answer is: A
|
A
|
mathematics
|
For a group of n people, k of whom are of the same sex, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that sex. For a group that consists of 25 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
|
[
"0.05",
"0.36",
"0.2",
"0.25",
"0.6"
] |
Index for females = (25-8)/25 = 17/25 = 0.68
Index for males = (25-17/25 = 8/25 = 0.32
Index for females exceeds males by 0.68 - 0.32 = 0.36
Answer: B
The answer is: B
|
B
|
mathematics
|
If (2/5)^n=(5/2)^2, what is the value of n?
|
[
"-2",
"-1",
"0",
"1",
"2"
] |
(2/5)^n = (5/2)^2
= (2/5)^-2
n = -2 (Answer = A)
The answer is: A
|
A
|
mathematics
|
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 24 is subtracted and divided by 10?
|
[
"4",
"7",
"8",
"5",
"3"
] |
Explanation:
Let the number be x. Then,
(x - 5)/7 = 7 => x - 5 = 49
x = 54
.: (x - 24)/10 = (54 - 24)/10 = 3
Answer: Option E
The answer is: E
|
E
|
mathematics
|
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 31st term in the sequence?
|
[
"48",
"49",
"4",
"8",
"4"
] |
Following the rule of Infinite sequence we obtain the terms of the sequence as mentioned below
02,07,22,67, 202, 607, 1822, 5467...
Observe the last two digits of the sequence which have the cyclicity of4and the last two digits repeat in the order {02, 07, 22, 67}
Also 31st Term =4*7 +3
i.e. 31st Terms will have same Last two digits as 3rd term of the sequence = 22
i.e. Sum of lat two digits of 35th Term = 2+2 = 4
C
The answer is: C
|
C
|
mathematics
|
If the average (arithmetic mean) of (2a+16) and (3a-8) is 69, what is the value of a?
|
[
"26",
"30",
"28",
"36",
"42"
] |
((2a+16) + (3a-8)) / 2 = (5a+8)/2 = 69
a= 26
The answer is A.
The answer is: A
|
A
|
mathematics
|
Define w* by the equation w* = π-w. Then ((−π)*)* =
|
[
"−2π",
"-1",
"−π",
"2π",
"4π"
] |
for w* f(f(−π)) = f(π − (−π)) = f(π + π) = f(2π) = π − 2π = −π=C
The answer is: C
|
C
|
mathematics
|
A 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
|
[
"500",
"350",
"828",
"277",
"122"
] |
Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/489 = 50/3
3x + 900 = 2400 => x = 500 m.
Answer: A
The answer is: A
|
A
|
mathematics
|
If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
|
[
"I only",
"None",
"II only",
"III only",
"II and III"
] |
(I) a < b^2. Not necessarily true fractions: try a=1 and b=2.
(II) b − a < c. Not necessarily true: try a=-1, b=0, and c=1.
(III) a^2 < b^2 < c^2. Not necessarily true: try a=-1, b=0, and c=1.
None of the options must be true.
Answer: B.
The answer is: B
|
B
|
mathematics
|
If -2x+3y=8 and 4x-3y=20, what is the sum of x and y?
|
[
"24",
"28",
"18",
"26",
"32"
] |
Given -2x+3y=8 ---Eq 1
4x -3y =20 -- Eq 2
Sum both eqns we get 2x = 28 => x = 14
Sub 2x in eq 1 => -28 + 3y = 8.
=> y = 12
Now X+Y = 12 + 14 = 26
Option D is correct answer.
The answer is: D
|
D
|
mathematics
|
If the area of a circle is 49pi square feet, find its circumference.
|
[
"14 pi feet",
"43 pi feet",
"42 pi feet",
"18 pi feet",
"64 pi feet"
] |
The area is given by pi * r * r. Hence
pi * r *r = 491 pi
r *r = 49 ; hence r = 7 feet
The circumference is given by
2 *pi *r = 2 * pi * 7 = 14 pi feet
correct answer A
The answer is: A
|
A
|
mathematics
|
Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
|
[
"40",
"30",
"60",
"45",
"55"
] |
let x be the number of 25 ounce cans. Therefore (x+40) is the number of 15 ounce cans.
Total volume is same, therefore
25x=15(x+40)
10x=600
x=60
ans is C
The answer is: C
|
C
|
mathematics
|
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices?
|
[
"234",
"243",
"273",
"284",
"325"
] |
Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 3*3*3*3*3=3^5=243.
Answer: B.
The answer is: B
|
B
|
mathematics
|
Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
|
[
"16 days",
"12 days",
"8 days",
"6 days",
"18 days"
] |
Answer
Ram takes 24 days to complete the task, if he works alone.
Krish is twice as efficient as Ram is. So, working alone, Krish will take half the time to complete the task.i.e., 12 days.
Ram will complete 1/24th of the task in a day.
Krish will complete 1/12th of the task in a day.
When they work together, they will complete 1/24+1/12=1/8th of the task in a day.
Therefore, when they work together they will complete the task in 8 days.
Choice C
The answer is: C
|
C
|
mathematics
|
12 buckets of water fill a tank when the capacity of each bucket is 55 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
|
[
"142",
"130",
"132",
"123",
"120"
] |
Capacity of the tank = (12× 55) litre
Number of buckets required of capacity of each bucket is 17 litre = 12×55/5=12×11=132
Answer is C
The answer is: C
|
C
|
mathematics
|
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 15 and 16. The larger of the two numbers is:
|
[
"338",
"278",
"322",
"368",
"121"
] |
Clearly, the numbers are (23 * 15) and (23 * 16). Larger number
= (23 * 16) = 368.
Answer: D
The answer is: D
|
D
|
mathematics
|
(√97+√486)/√54=?
|
[
"2√2",
"2√3",
"3√2",
"3√3",
"13/3"
] |
(√96+√486)/√54=(4√6+9√6)/3√6=13√6/3√6=13/3
Hence, the correct answer is E.
The answer is: E
|
E
|
mathematics
|
Steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
|
[
"60 mph",
"72 mph",
"53.33 mph",
"64 mph",
"66.67 mph"
] |
Distance traveled in 2 hours = 2 * 60 = 120 m
Distance traveled in 3 hours = 3 * 80 = 240m
Total distance covered = 240 + 120 = 360m
Total time = 2 + 3 =5 h
Hence avg speed = total distance covered / total time taken
= 360/5 = 72mph
Answer: B
The answer is: B
|
B
|
mathematics
|
In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
|
[
"69.",
"73.",
"81",
"91",
"108"
] |
Total students = 420
Boys = 312, Girls = 108
Total playing soccer = 250
86%of 250 = 215 are boys who play soccer.
Girls who play soccer = 35.
Total girls who do not play soccer = 108 - 35 = 73.
Correct option: B
The answer is: B
|
B
|
mathematics
|
If the a radio is sold for rs 490 and sold for rs 465.50.find loss%.
|
[
"2%",
"4%",
"3%",
"5%",
"6%"
] |
sol. cp=rs490,sp= 465.50.
loss=rs(490-465.50)=rs 24.50.
loss%=[(24.50/490)*100]%=5%
ANSWER D
The answer is: D
|
D
|
mathematics
|
The Average of 100, 200, 300, 400, ... , 1000 is 550. If each number is divided by 5, then the new average will be equal to
|
[
"450",
"45",
"55",
"None of these",
"Cannot be determined"
] |
Answer
Actual average
=( 100 + 220 + 300 + ... + 1000 ) / 10
=550
New Average = 550 / 5
=110
Correct Option: D
The answer is: D
|
D
|
mathematics
|
A can do a piece of work in 28 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
|
[
"3 days",
"5 days",
"6 days",
"7 days",
"11 days"
] |
B's 9 day's work = 9 x (1/12) = 3/4
Remaining work = (1 - 3/4) = 1/4
1/4 work is done by A in = 28 x (1/4) = 7 days.
answer : D
The answer is: D
|
D
|
mathematics
|
If 5 ministers are to be seated at a round table conference, then how many different ways can they be seated?
|
[
"240",
"60",
"24",
"720",
"180"
] |
Simple formula:
There are (n - 1)! ways to arrange n distinct objects in a circle.
so its (5-1)! =4! = 24=C
The answer is: C
|
C
|
mathematics
|
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately?
|
[
"1 hr",
"2 hrs",
"6 hrs",
"8 hrs",
"10 hrs"
] |
Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
1/x + 1/(x + 6) = 1/4
x2 - 2x - 24 = 0
(x - 6)(x + 4) = 0 => x = 6.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
On a two-dimensional coordinate plane, the line s = x^2 - x^3 touches the x-axis in how many places?
|
[
"0",
"1",
"2",
"3",
"4"
] |
Apparently it's s = x^2 - x^3 instead of s = x^2 - s^3.
In this case: the x-intercept is the value(s) of x for s = 0.
0 = x^2 - x^3;
0 = x^2(1 - x);
x = 0 or x = 1.
Answer: C.
The answer is: C
|
C
|
mathematics
|
If c is 25% of a and 15% of b, what percent of a is b?
|
[
"2.5%",
"15%",
"25%",
"125%",
"250%"
] |
Answer = D
25a/100 = 20b/100
b = 25a/20 = 125a/100 = 125%
The answer is: D
|
D
|
mathematics
|
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
|
[
"118",
"150",
"277",
"258",
"100"
] |
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m
Answer: E
The answer is: E
|
E
|
mathematics
|
The difference between a number and its three-fifth is 50. What is the number ?
|
[
"75",
"100",
"125",
"none of these",
"95"
] |
Let the number be x. Then, x-(3/5)x=50
=>(2/5)*x=50
=>x=(50*5)/2=125
Answer :C
The answer is: C
|
C
|
mathematics
|
By selling an article at Rs.400, a profit of 60% is made. Find its cost price?
|
[
"228",
"267",
"287",
"250",
"811"
] |
SP = 400
CP = (SP)*[100/(100+P)]
= 400 * [100/(100+60)]
= 400 * [100/160] = Rs.250
Answer: D
The answer is: D
|
D
|
mathematics
|
Insert the missing number
4, -12, 36, -108, 324, (....)
|
[
"-972",
"-972",
"452",
"-452",
"0"
] |
4*-3=-12
-12*-3=36
36*-3=-108
-108*-3=324
324*-3=-972
ANSWER:A
The answer is: A
|
A
|
mathematics
|
You are a cashier at a grocery store. Your customer, David, buys a pound of bacon
$1.39, one dozen eggs for $1.29, and a pound of coffee for $2.79. What is the sum
total of his purchases?
|
[
"$5.47",
"$6.47",
"$7.47",
"$8.47",
"$9.47"
] |
Add $1.39+ $1.29+$2.79
we have the sum $5.47
correct answer A
The answer is: A
|
A
|
mathematics
|
A 6% stock yields 8%. The market value of the stock is:
|
[
"Rs. 48",
"Rs. 75",
"Rs. 96",
"Rs. 133.33",
"none"
] |
For an income of Rs. 8, investment = Rs. 100.
For an income of Rs. 6, investment = Rs. (100/8 * 6) = Rs. 75.
Market value of Rs. 100 stock = Rs. 75.
Answer = B
The answer is: B
|
B
|
mathematics
|
If a Poultry firm sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 20 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
|
[
"100",
"90",
"80",
"70",
"60"
] |
Let x = total feed required for the planned period
n= number of chicken
t = total time of the planned feed
x = nt
1) x = (n-15) * (t+4)
2) x = (n+20) * (t-3)
equating 12
(n-15) * (t+4) = (n+20) * (t-3)
7n = 35t
n =5t
x= n * n/5
substituting this value in 1
n * n/5 = (n-15) * (n/5+4)
5n = 300
n =60
E
The answer is: E
|
E
|
mathematics
|
Working individually, Julie can peel potatoes in 10 hours and Ted can peel potatoes in 8 hours. If Julie and Ted work together but independently at the task for 4 hours, at which point Ted leaves, how many remaining hours will it take Julie to complete the task alone?
|
[
"3/15",
"2/11",
"1/4",
"1/3",
"1"
] |
In first 4 hrs Ted will finish 4/8 = 1/2 of work and Julie will finish 4/10 work so total 1/2 + 2/5 = 9/10 work is finished and
1-9/10 = 1/10 work remaining. Now Julie will take (1/10)*10 = 1 hrs to finish it.
So answer is E.
The answer is: E
|
E
|
mathematics
|
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
|
[
"1288",
"1238",
"1200",
"1233",
"1234"
] |
CP* (76/100) = 912
CP= 12 * 100 => CP
= 1200
Answer:C
The answer is: C
|
C
|
mathematics
|
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many W minutes it takes John to reach the station?
|
[
"5 min",
"6 min",
"7 and 1/2 min",
"8 min",
"10 min"
] |
Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence, W=6(5/4)=15/2 minutes. The correct answer is C.
The answer is: C
|
C
|
mathematics
|
In Gabriel's sheep herd, every sheep has either fleas or lice or both. Half of the sheep have lice, and 84 sheep have both pests. If 94 sheep have lice, how many sheep have only fleas?
|
[
"10",
"20",
"84",
"94",
"178"
] |
n(Lice) = n(Only lice) + n(Both lice and fleas)
n(Both lice and fleas) = 84
n(Lice) = 94
n(Only lice) = 94-84 = 10
Since, it is also said that exactly half the sheep have lice, it can be inferred that half the number of sheep is 94.
Therefore, the total number of sheep having only fleas is 10
ANS:(Option A)
The answer is: A
|
A
|
mathematics
|
The G.C.D. of 1.08, 0.36 and 0.9 is:
|
[
"0.03",
"0.9",
"G.C.D.=0.18",
"0.2",
"0.21"
] |
Given numbers are 1.08, 0.36 and 0.90.
H.C.F. of 108, 36 and 90 is 18,
H.C.F. of given numbers = 0.18.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
|
[
"23,400",
"60,840",
"67,600",
"608,400",
"175,760,000"
] |
The choices give us the answer without any calculations--
4 one digits places can take 10*10*10*10 ways..
3 letters places can be filled up in 26*26*26 ways
ans= 26*26*26*10*10*10*10=175,760,000
ans E
The answer is: E
|
E
|
mathematics
|
S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product Z of all the fractions that are in S?
|
[
"1) 1/20",
"2) 1/21",
"3) 1/2",
"4) 19/40",
"5) 19/20"
] |
1/2 * 2/3 * 3/4 * ... 19/20
= 1/20
Answer - A
The answer is: A
|
A
|
mathematics
|
The average of non zero number and its square is 5 times the number. The number is?
|
[
"5",
"7",
"9",
"10",
"12"
] |
Let the number be x
(x+x^2)/2 = 5x
x^2 - 9x = 0
x(x-9) = 0
x = 0 or x = 9
So the number is 9
Answer is C
The answer is: C
|
C
|
mathematics
|
Simple interest on a sum at 5% per annum for 2 years is Rs.120. The C.I. on the same sum for the same period is?
|
[
"81.6",
"81.9",
"121.5",
"121.3",
"121.1"
] |
SI = 60 + 60
CI = 60 + 60 + 1.5= 121.5
Answer: C
The answer is: C
|
C
|
mathematics
|
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (a) around the mirror, which of the following could be the value, in inches, of a ?
I. 2
II. 3 1/2
III. 5
|
[
"I only",
"III only",
"I and II only",
"I and III only",
"I, II, and III"
] |
Area of picture = 16x Area of frame = 33x
Area of picture / (Area of picture + area of frame) = 16x / 49x = 4x/7x.
This results in a value to be a multiple of 1.5 = multiple of 3/2 and since a is not constrained to be only integer all the three choices are possible
For i) the multiple of a is 4/3
For ii) the multiple of a is 7/3
For iii) the multiple of a is 10/3
The key is a can be any real positive number... very tricky problem.. took me > 15 minutes.
Answer is E
The answer is: E
|
E
|
mathematics
|
8597-?=7429-4358
|
[
"5426",
"5706",
"5526",
"5476",
"None of them"
] |
Let 8597-x=3071
Then x = 8597-3071
=5526
Answer is C
The answer is: C
|
C
|
mathematics
|
A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time W it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
|
[
"0.8(80 – y)",
"0.8 + 0.0025y",
"80/y – 1.25",
"80/1.25y",
"80 – 0.25y"
] |
This may be a case of bad numberpicking but it worked for me.
80 houses. Let's say that y=40 houses are painted at the rate x=10 houses per week <=> 1/10 week per house. 40*1/10 = 4 houses per week will be painted at this rate.
80-y = 80-40 = 40 houses are to be painted at the faster rate. X*1,25=12,5 houses per week <=> 1/12,5 weeks per house * 40 houses = 40/12,5 = 80/25 = 320/100 = 3,2 weeks.
Which means finishing all houses at normal rate W=> 2*4 = 8 weeks. Faster rate = 4+3,2 = 7,2 weeks.
7,2/8 = 9/10 = 0,9. Insert y=40 in equations and it is clear that only (B) gives us 0,9.
The answer is: B
|
B
|
mathematics
|
0.6 of a number is equal to 0.08 of another number. The ratio of the numbers will be
|
[
"3:4",
"4:3",
"2:15",
"2:9",
"3:8"
] |
Let the numbers be X and Y
0.6X = 0.08Y => X/Y = 0.08/0.6 = 2:15
Answer C.
The answer is: C
|
C
|
mathematics
|
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
|
[
"18:11",
"18:16",
"18:17",
"18:18",
"18:12"
] |
A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer:A
The answer is: A
|
A
|
mathematics
|
Two trains are running at 40 km/h and 20 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
|
[
"23 m",
"23 2⁄9 m",
"27 m",
"27 7⁄9 m",
"None of these"
] |
Relative speed = (40 – 20) km/h
= (20 × 5⁄18) m/sec = (50⁄9) m/sec
Length of faster train
= (50⁄9 × 5) m = 250⁄9m = 277⁄9 m
Answer D
The answer is: D
|
D
|
mathematics
|
11234783131.What are the next three numbers?
|
[
"145",
"178",
"176",
"191",
"192"
] |
actually if we split up series then we get,
11,23,47,83,131
from this we see that,
23-11=12,
47-23=24,
83-47=36,
131-83=48,
from option we see that 191-131=60
so,191 is correct option
ANSWER:D
The answer is: D
|
D
|
mathematics
|
How many prime numbers are between 78/14 and 55/4?
|
[
"2",
"3",
"4",
"5",
"6"
] |
78/14= 39/7 = 6-
55/4 = 14-
Prime numbers between 6 and 14 are 7, 11 and 13
- sign signifies that the number is marginally less .
Answer B
The answer is: B
|
B
|
mathematics
|
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
|
[
"76 Kmph",
"88 Kmph",
"72 Kmph",
"55 Kmph",
"44 Kmph"
] |
Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
Answer: C
The answer is: C
|
C
|
mathematics
|
Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15%, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
|
[
"3436521",
"3546577",
"3546546",
"7565643",
"1083875"
] |
Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)
= P (1 + 15/100)(1 - 35/100)(1 + 45/100)
= 1083875
E
The answer is: E
|
E
|
mathematics
|
Rahul and Bharti are partners in a business. Rahul contributes 1/4th capital for 15 months and Bharti received 2/3 of profit. For how long Bharti money was used.
|
[
"8 months",
"10 months",
"11 months",
"17 months",
"None of these"
] |
Explanation:
Let the total profit be Rs. Z
Bharti's share = (2/3)Z
Rahul's Share = Z-(2/3)Z = Z/3
Rahul:Bharti = Z/3:(2/3)Z = 1:2
Now let the total capital be Rs X, and Bharti capital was used for Y months
then, Rahul capital will be (1/4)X and Bharti capital wil be X-(1/4)X = 3X/4
14X∗15/ 3/4X∗Y=1/2
Y=15∗2/3=10
So Bharti's money was used for 10 months
Option B
The answer is: B
|
B
|
mathematics
|
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C
|
[
"Rs. 300",
"Rs. 400",
"Rs. 500",
"Rs. 600",
"None of these"
] |
Explanation:
C's 1 day's work =
1/3−(1/6+1/8)
=(1/3−7/24)
=1/24
A:B:C=1/6:1/8:1/24
=4:3:1
C′sShare=1/8∗3200=400
Option B
The answer is: B
|
B
|
mathematics
|
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
|
[
"8",
"6",
"5",
"4",
"2"
] |
C.P. of 6 toffees = Re. 1
S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5
For Rs. 6/5, toffees sold = 6. For re. 1.
Toffees sold = 6 * 5/6 = 5
Answer: C
The answer is: C
|
C
|
mathematics
|
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 380 dollars, and, in a third, loses 70. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ?
|
[
"80",
"60",
"-60",
"-70",
"None"
] |
In this sum, as the profit and loss are opposite in their nature, they must be distinguished by contrary signs. If the profit is marked +, the loss must be -.
Let x = the sum required.
Then according to the statement x + 380 - 70 = 250
And x = -60.
Answer C
The answer is: C
|
C
|
mathematics
|
A can do a piece of work in 5 days and B can do it in 4 days how long will they both work together to complete the work?
|
[
"6/11",
"8/11",
"7/9",
"2/9",
"10/11"
] |
Explanation:
A’s one day work = 1/5
B’s one day work = 1/4
(A+B)’s one day work = 1/5 + 1/4 = 9/20 => time = 20/9 = 2 2/9 days
Answer: Option D
The answer is: D
|
D
|
mathematics
|
What is the next number in this Sequence ?
6, 14, 36, 98, 276, ?
|
[
"657",
"794",
"453",
"564",
"123"
] |
B
794
The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.
Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
and so on.
The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.
The answer is: B
|
B
|
mathematics
|
A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120.To obtain equal dividends from both,he must invest the money in the ratio :
|
[
"3 : 4",
"3 : 5",
"4 : 5",
"16 : 15",
"None"
] |
Solution
For an income of Rs. 1 in 9% stock at 96, investment = Rs. (96/9)= Rs. 32/3 .
For an income of Rs. 1 in 12% stock at 120, investment = Rs.(120/12) = Rs. 10.
∴ Ratio of investments = 32/3 :10 =32:30 = 16:15
Answer D
The answer is: D
|
D
|
mathematics
|
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
|
[
"3 days.",
"2 days.",
"4 days.",
"1 days.",
"6 days."
] |
B's 10 day's work =(1/15 x 10)=2/3.
Remaining work =(1 -2/3)=1/3.
Now, 1/18 work is done by A in 1 day.
1/3 work is done by A in (18 x 1/3)= 6 days.
Answer: Option E
The answer is: E
|
E
|
mathematics
|
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
|
[
"450",
"992",
"276",
"187",
"161"
] |
10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450
Answer: A
The answer is: A
|
A
|
mathematics
|
What is the least common multiple of 6, 18, and 24?
|
[
"72",
"120",
"240",
"360",
"720"
] |
Let us first write the numbers in the form of prime factors:
6 = 2*3
18 = 2*3^2
24 = 2^3*3
The LCM would be the largest powers of the prime numbers from all these three numbers.
Hence LCM = 72
Option A
The answer is: A
|
A
|
mathematics
|
Rain is falling at a rate of 10 centimeters per hour all over North Carolina. Somewhere downtown in North Carolina a group of people are waiting for the rain to stop. If the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters, how long did the people wait for the rain to stop?
|
[
"4 hours",
"11 hours",
"7 hours 15 minutes",
"3 hours",
"14 hours"
] |
Answer is : D, 3 hours
The volume of the puddle is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only 30 / 10 = 3 hours of rain to fill the puddle
The answer is: D
|
D
|
mathematics
|
A certain truck uses 18 gallons of diesel fuel in traveling 220 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
|
[
"8",
"9",
"12",
"15",
"7"
] |
There are two sets 18G1 gallons and 10G2 gallons details given.
18 gallons covering 220 miles
Then 1 G1 is used to cover 15 miles.
Now for 10 G2 covering 220 miles.
then 1 G2 is used to cover 22 miles.
There must 22 - 15 = 7miles per gallon increment is needed for 10 gallons to improve the mileage to cover 220 miles.
IMO E is correct answer.
The answer is: E
|
E
|
mathematics
|
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 56 years now, the son's age 4 years back was:
|
[
"12 years.",
"24 years.",
"17 years.",
"16 years.",
"19 years."
] |
Let the son's present age be x years. Then, (56 - x) = x
2x = 56.
x = 28
Son's age 4 years back (28- 4) = 24 years.
ANSWER :B
The answer is: B
|
B
|
mathematics
|
If n is an integer greater than 6, which of the following must be divisible by 2?
|
[
"1. n (n+1) (n-4)",
"2. n (n+2) (n-1)",
"3. n (n+3) (n-5)",
"4. n (n+4) (n-2)",
"5. n (n+5) (n-6)"
] |
We need to find out the number which is divisible by three,
In every 3 consecutive integers, there must contain 1 multiple of 3.
So n+4 and n+1 are same if we need to find out the 3's multiple. replace all the numbers which are more than or equal to three
1. n (n+1) (n-4) = > n(n+1)(n-1) = > (n-1)n(n+1)
2. n (n+2) (n-1) = > n(n+2)(n-1) = > (n-1)n(n+1)
3. n (n+3) (n-5) = > n(n+0)(n-2) = > (n-2)n(n)
4. n (n+4) (n-2) = > n(n+1)(n-2) = > (n-2)n(n+1)
5. n (n+5) (n-6) = > n(n+2)(n-0) = > (n)n(n+2)
from the above onlyoption Ais product of consecutive three numbers.
B
The answer is: B
|
B
|
mathematics
|
Two dogsled teams raced across a 300-mile course in Wyoming. Team A finished the course in 3 fewer hours than did team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
|
[
"12",
"15",
"18",
"20",
"25"
] |
Speed of B= S
Speed of A= S+5
Time taken by B=300/S Time Taken by A= 300/(S+5)
Difference in their time is 3 hrs.
300/S - 3 = 300/(S+5)
Plug in the values from the option
No need of choosing 12 & 18 it won't satisfy
a) if we take 15 then
T(B) = 300/15 =20
T(A)= 300/20 =15. Hence from this option difference comes out to be 5 which is not correct
b) if we take 20 then
T(B) = 300/20 = 15
T(A)= 300/25 = 12
Difference in timing is 3 hence Option D is correct
The answer is: D
|
D
|
mathematics
|
The radius of a wheel is 12.6 cm. What is the distance covered by the wheel in making 200 resolutions?
|
[
"158.210 m",
"704 m",
"153.256 m",
"158.256 m",
"204 m"
] |
In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 200 resolutions.
= 200* 2 * 22/7 * 12.6 = 15825.6 cm
= 158.256 m
Answer:D
The answer is: D
|
D
|
mathematics
|
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 6, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
|
[
"27",
"22",
"24",
"26",
"30"
] |
Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes
Answer: A
The answer is: A
|
A
|
mathematics
|
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
|
[
"9",
"8",
"7",
"6",
"5"
] |
Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.
π(16)2 * h = (4/3)π (12)3 => h = 9 cm
Answer:A
The answer is: A
|
A
|
mathematics
|
A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 40 pints of Perfect Pink paint?
|
[
"9",
"16",
"21",
"25 1/3",
"28 1/2"
] |
3/4 pint is required to make 3/4 + 2/3 = 17/12 pint of perfect pink
so 17/12 pint requires 3/4 pint of red..
1 pint will require 3/4 * 12/17=9/17..
40 pints will require 9/17 * 40= 21 pints..
C
The answer is: C
|
C
|
mathematics
|
For any non-zero a and b that satisfy |ab| = -ab and |a| = a, a^2+b^2+2|ab| =?
|
[
"ab-4",
"(a+b)^2",
"(a-b)^2",
"a^2-|ab+ab^2|",
"4-ab"
] |
Given: |ab| = -ab and |a| = a
Question: a^2+b^2+2|ab| =?
**** Looking at |ab| = -ab tells us that a and b are either positive or negative
**** Looking at |a| = a tells us that a must be positive
**** Combine two observations: a is positive, b is negative
so a^2+b^2+2|ab| = a^2+b^2-2ab.
as we know : (a-b)^2= a^2+b^2-2ab.
hence option c is correct.
The answer is: C
|
C
|
mathematics
|
If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 7n years to that after 3n years?
|
[
"(1+k/100)^n",
"(1+k)^n",
"(1+kn/100)",
"(1+k/100)^4n",
"(1+kn)"
] |
Amount after 7n years will be = x ( 1 + k/100)^4n
Amount after 3n years will be = x ( 1 + k/100)^3n
So, required ratio will be -
{ x ( 1 + k/100)^7n } / {x ( 1 + k/100)^3n } = (1+k/100)^4n
Hence answer will be a. (1+k/100)^4n
D
The answer is: D
|
D
|
mathematics
|
If -13 < 7x + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of x + y?
|
[
"-23",
"-18",
"-13",
"-14",
"-12"
] |
Really nice question and plays with a classic GMAT trap. We arrive at the final equation that a + b < -13. So the maximum integer values of a + b should be LESSER THAN -13 and that can only be -14.
-13 < 7a + 1 < 29
Subtracting 1 from the equation
-14 < 7a < 28
Dividing by 7
-2 < a < 4 ........... (1)
19 < 2 - b < 23
Multiplying by -1
-23 < b - 2 < -19
Adding 2 to the equation
-21 < b < -17 ........... (2)
Adding 1 and 2
-23 < a + b < -13
Answer is D
The answer is: D
|
D
|
mathematics
|
The area of sector of a circle whose radius is 18 metro and whose angle at the center is 42° is?
|
[
"52.6",
"52.9",
"52.8",
"118.8",
"52.2"
] |
42/360 * 22/7 * 18 * 18 = 118.8 m2
Answer: D
The answer is: D
|
D
|
mathematics
|
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
|
[
"1000",
"3000",
"2000",
"4000",
"5000"
] |
Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1000
x = 1000.
B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.
Answer is C.
The answer is: C
|
C
|
mathematics
|
A no. leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possiblevalues can k take?
|
[
"3",
"5",
"8",
"9",
"10"
] |
A number leaves a remainder of 3 on division by 14, or it can be written as 14n + 3
On division by 70, the possible remainders can be 3, 17 (3 + 14), 31 (3 + 28), 45 (3 + 42), or 59 (3 + 56). The number can be of the form
70n + 3
70n + 17
70n + 31
70n + 45
70n + 59
Now, we need to divide this number by 35
70n + 3 divided by 35, the remainder will be 3.
70n + 17 divided by 35, the remainder will be 17.
70n + 31 divided by 35, the remainder will be 31.
70n + 45 divided by 35, the remainder will be 10.
70n + 59 divided by 35, the remainder will be 24.
On division by 35, the possible remainders are 3, 17, 31, 10 or 24. There are 5 possible remainders
Correct Answer: 5
B
The answer is: B
|
B
|
mathematics
|
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 ¾ % his yearly income diminishes by Rs.61.50. his capital is
|
[
"22378",
"3778",
"24600",
"27888",
"12771"
] |
Explanation:
Capital = Rs.x , then
x = 24600
Answer: C) Rs.24600
The answer is: C
|
C
|
mathematics
|
A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"300",
"220",
"240",
"250",
"260"
] |
Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 40 = 15
x + 300 = 600
x = 300 m.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
|
[
"81000",
"81007",
"81008",
"81066",
"81022"
] |
64000* 9/8 * 9/8 = 81000
Answer:A
The answer is: A
|
A
|
mathematics
|
If n ≠ 0, which of the following must be greater than n?
I. 6n
II. n^2
III. 2 - n
|
[
"I only",
"None",
"I and II only",
"II and III only",
"II only"
] |
n ≠ 0 => n = negative or n = positive
if n = negative:
2n < n (n = -1 then 2n = -2 => -2 < -1)
n^2 > n (n =-1 then n^2 = 1 => n^2 > n)
2 - n > n (n = -1 then 2--1 = 2+1=3 => 2-n > n)
but if n = positive:
n^2 > n (n = 2 then n^2 = 4 => n^2 > n) => II
2 - n < n(n =2 then 2-2 = 0)
=> only II
=>answer is E
The answer is: E
|
E
|
mathematics
|
At a certain zoo, the ratio of zebras to penguins is 6 to 11. If there are 85 more penguins than zebras at the zoo, how many zebras are there?
|
[
"24",
"36",
"48",
"72",
"102"
] |
6/11 = x / x+85
6*85 = 5x
x=102
E. 102
The answer is: E
|
E
|
mathematics
|
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 6 people to travel x miles if he decides to give them a 50% discount?
|
[
"3xr/100",
"3x/200r",
"3r/200x",
"3xr/200",
"xr/600"
] |
6xr/2 is in cents - 6xr/200 dollars = 3xr/100 dollars
Answer : A
The answer is: A
|
A
|
mathematics
|
A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 12 maps and 9 books for a total of $30.00. At this store, how much less does a map sell for than a book?
|
[
"$0.25",
"$0.50",
"$0.75",
"$1.00",
"$4.5"
] |
12x+10y=38
12x+9y=30
subtracting 1 from 2
y=8
therefore
x=3.5
difference in price =4.5
E
The answer is: E
|
E
|
mathematics
|
How many meters are there in 440 centimeters?
|
[
"440 meters",
"3.2 meters",
"4.4 meters",
"4.5 meters",
"4 meter"
] |
Solution:
1 meter = 100 centimeters
Just divide 440 by 100
440 ÷ 100 = 4.4, so there are 4.4 meters in 440 centimeters
Option C
The answer is: C
|
C
|
mathematics
|
If the mean of numbers 28, x, 50, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
|
[
"76.5",
"58",
"39.8",
"90.3",
"66.67"
] |
Mean = (Sum of all no. in series)/(no. in series)
M1 = 62 = (X+28+50+78+104)/(5)
62 x 5 = 260 + X
X = 50
Therefore mean of 2nd series
M2 = (X+48+62+98+124)/5
M2 = 76.5
Answer = A
The answer is: A
|
A
|
mathematics
|
Two trains of length 90 m and 95 m are 250 m apart. They start moving towards each other on parallel tracks, at speeds 64 kmph and 92 kmph. After how much time will the trains meet?
|
[
"53/10",
"55/10",
"56/10",
"57/10",
"58/10"
] |
They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (64 + 92)*5/18 = 43.3 mps.
The time required = d/s = 250/43.3 = 58/10sec.
Answer:E
The answer is: E
|
E
|
mathematics
|
The successive discounts 20% and 15% are equal to a single discount of?
|
[
"43%",
"72%",
"32%",
"44%",
"29%"
] |
C
32%
Let the CP of an article be Rs. 100
Given that successive discounts are 20% and 15%.
SP = 85% of 80% of 100 = (85/100)(80/100)(100)
=> SP = Rs. 68
Clearly, single discount is 32%.
The answer is: C
|
C
|
mathematics
|
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last.
|
[
"44",
"42",
"40",
"38",
"36"
] |
Explanation:
Given that fort had provision of food for 150 men for 45 days
Hence, after 10 days, the remaining food is sufficient for 150 men for 35 days
Remaining men after 10 days = 150 - 25 = 125
Assume that after 10 days, the remaining food is sufficient for 125 men for x days
More men, Less days (Indirect Proportion)
(men) 150 : 125 :: x : 35
⇒150×35=125x
⇒6×35=5x
⇒x=6×7=42
i.e., the remaining food is sufficient for 125 men for 42 days
Answer: Option B
The answer is: B
|
B
|
mathematics
|
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
|
[
"488",
"200",
"289",
"150",
"822"
] |
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.Answer:D
The answer is: D
|
D
|
mathematics
|
a man can row 18 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream.
|
[
"2 km/hr",
"3 km/hr",
"7 km/hr",
"9 km/hr",
"5 km/hr"
] |
Let man’s rate upstream be x kmph.then ,his rate downstream=3xkmph.
So,2x=18 or x=9.
Rate upstream=9 km/hr,rate downstream=27 km/hr.
Hence,rate of stream=1/2(27-9)km/hr=9 km/hr.
ANSWER D
The answer is: D
|
D
|
mathematics
|
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
|
[
"0",
"-1",
"1",
"2",
"none of these"
] |
Explanation:
Average of 20 numbers = 0.
Sum of 20 numbers = (0 * 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (- a). Answer: A
The answer is: A
|
A
|
mathematics
|
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 21m/h. what is the speedof the person while he was going to his office?
|
[
"8km/h",
"10km/h",
"12km/h",
"13km/h",
"14km/h"
] |
u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=21
\inline \Rightarrow 1.5k = 21
\inline \Rightarrow k=14km/h
E
The answer is: E
|
E
|
mathematics
|
Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
|
[
"11.",
"12.",
"13.",
"14.",
"14.5"
] |
Price of candy before price increase= 10/1.25= 8
Price of soda before price increase= 9/1.5= 6
Total price = 8+6= 14
D is the answer
The answer is: D
|
D
|
mathematics
|
There are four temples, one plant of flower and a pond.
A boy goes there and before entering the first temple he plucks the flower and has to take a bath in the pond before entering into every temple.
The specialty of the pond is that if a person is carrying flowers with him and he takes a dip in the pond the number of the flowers gets doubled.
He takes a dip and offers some flowers in the first temple, then he again takes a dip and offers flowers in second temple , again the same in the third temple, and again the same in the fourth temple
The boy offers EQUAL number of flowers in all the four temples and goes back with EMPTY hand after offering flower in the fourth temple..How many flowers could he have offered in each temples?
|
[
"20",
"24",
"30",
"48",
"60"
] |
Note : all temples received equal flowers
lets start with the 4th temple , lets say all x flowers were given, then before dip x/2 flowers must have been left after offering in the 3rd temple. ( only then x/2 flowers could be doubled to become x and all offered in the 4th temple with nothing left over )
so x/2 flowers were left after offering made in the 3rd temple
going backwards .....
(x/2) left after 3rd temple + x given in the 3rd temple =(3x/2) {after dip, total flowers just before offering in the 3rd temple}
so before dip (3x/4)
(3x)/4 left after 2nd temple + x given in the 2nd temple = (7x)/4{after dip, total flowers just before offering in the 2nd temple}
so before dip (7x)/8
(7x)/8 left after 1st temple + x given in the 1st temple = (15x)/8{after dip, total flowers just before offering in the 1st temple}
so before dip (15x)/16
now since number of flowers have to be an integer then x has to be a multiple of 2,4,8 and 16
only 48 satisfies
Hence Answer = D
The answer is: D
|
D
|
mathematics
|
If an average hard drive had a capacity of 0.6 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
|
[
"256",
"512",
"768",
"6144",
"1536"
] |
0.6*2^10=0.6*1024=614.4
The answer is D.
The answer is: D
|
D
|
mathematics
|
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.4500. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
|
[
"Rs.750, Rs.2250",
"Rs.2000, Rs.750",
"Rs.750, Rs.2000",
"Rs.800, Rs.1250",
"Rs.900, Rs.1250"
] |
Minu’s one day’s work = 1/3 - 1/6 + 1/9= 1/3 - 5/18 = 1/18
Anu’s wages: Binu’s wages: Minu’s wages = 1/6 : 1/9 : 1/18 = 6: 4: 2
Minu’s share = Rs.4500* 2/12 = Rs.750
Anu’s share = Rs.4500* 6 /12 = Rs.2250
ANSWER:A
The answer is: A
|
A
|
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