subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
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stringlengths 18
3.7k
| answer
stringclasses 5
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|---|---|---|---|---|
mathematics
|
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
|
[
"16",
"18",
"98",
"27",
"17"
] |
A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
6/25 * 75 = 18
Answer: B
The answer is: B
|
B
|
mathematics
|
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
|
[
"87 days",
"20 days",
"66 days",
"77 days",
"44 days"
] |
C = 1/2 - 1/4 - 1/5 = 1/20
=> 20 days
Answer: B
The answer is: B
|
B
|
mathematics
|
How much 70% of 100 is greater than 60% of 80?
|
[
"18",
"99",
"22",
"26",
"71"
] |
(70/100) * 100 β (60/100) * 80
70- 48 = 22
Answer: C
The answer is: C
|
C
|
mathematics
|
Find the fourth proportion to 2,3,6
|
[
"18",
"12",
"9",
"3",
"4"
] |
Explanation:
2:3 :: 6:x
=> 2/3 = 6/x
=> x = 18/2
=> x = 9
Option C
The answer is: C
|
C
|
mathematics
|
Molly and Max are driving at a rate of 100 kilometers per hour. What is their driving speed in miles per hour? [1km = 0.6 miles]
|
[
"600",
"60",
"6",
"0.6",
"None of the above"
] |
To calculate the equivalent of miles in a kilometer
0.6 kilometers= 1 mile
100 kilometers = (0.6)*100 = 60 miles
Speed in kilometers/hour = 60
Correct answer - B
The answer is: B
|
B
|
mathematics
|
four children β A, B, C, D, E, F, and G β are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
|
[
"560",
"720",
"1440",
"4320",
"4800"
] |
A, B, C, D, E, F, G- seven children, of which AB must sit next to each other. Considering them as one X (A, B), we have X, C, D, E, F, G. These can be arranged in 6! ways. But A,B can arrange themselves in 2! ways. So a total of 6!*2! ways = 1440. Since in exactly half of them, C will be to the right of AB, and exactly half, C will be to the left of AB, therefore 1440/2 = 560.
A is the right answer.
The answer is: A
|
A
|
mathematics
|
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 2 a rupee. Find his net profit or loss percent?
|
[
"33 1/8 %",
"100 %",
"33 1/3 %",
"33 5/8 %",
"34 1/3 %"
] |
The total number of mangoes bought by the shopkeeper be 8.
If he buys 4 a rupee, his CP = 2
He selling at 2 a rupee, his SP = 4
Profit = SP - CP = 4 - 2 = 2
Profit Percent = 2/2 * 100 = 100 %
Answer: B
The answer is: B
|
B
|
mathematics
|
The product of two numbers is 266 and their difference is 5. What is the bigger number ?
|
[
"13",
"15",
"19",
"24",
"None of these"
] |
Explanation:
Let the two numbers be A and B, here A > B
AB = 266
B = 266/A -----------------(I)
Given,
A β B = 5 ----------- (II)
Substitute from (I) in (II), we get
A β 266/A = 5
A2 β 5A + 266 = 0
(A β 19)(A β 14) = 0
Therefore , A = 19 or A = 14
Hence, bigger number = A = 19
ANSWER: C
The answer is: C
|
C
|
mathematics
|
The contents of a certain box consist of 24 carrots and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be carrrots?
|
[
"24",
"26",
"30",
"46",
"50"
] |
carrrots = (carrrots + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
The answer is: B
|
B
|
mathematics
|
Last year a certain bond yielded 8 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
|
[
"$6,000",
"$3,750",
"$7,425",
"$7,500",
"$9,375"
] |
Interest = 0.08*face value = 0.04*7,500 --> face value = 0.04*7,500/0.08 = 3,750.
Answer: B.
The answer is: B
|
B
|
mathematics
|
In a tree, 2/5 of the birds are robins while the rest are bluejays. If 1/3 of the robins are female and 2/3 of the bluejays are female, what fraction of the birds in the tree are male?
|
[
"3/5",
"4/15",
"7/15",
"8/15",
"17/30"
] |
The fraction of birds that are male robins is (2/3)(2/5)=4/15.
The fraction of birds that are male bluejays is (1/3)(3/5)=1/5.
The total fraction of male birds is 4/15 + 1/5 = 7/15.
The answer is C.
The answer is: C
|
C
|
mathematics
|
Working alone, Jerry finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Jerry alone cleans the entire house in 6 hours. How many hours will it take Nick and Jerry to clean the entire house if they work together?
|
[
"1.5",
"2",
"2.4",
"3",
"3.6"
] |
Answer is 3.6 hours.
Jerry does the complete house in 6 hours while Nick does it in 9 hours. 1/ (1/6+1/9)= 3.6
answer is E
The answer is: E
|
E
|
mathematics
|
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.3 km long?
|
[
"2 mins 14 sec",
"2 mins 34 sec",
"168 sec",
"344 sec",
"2 mins 44 sec"
] |
D = 25 * 60 + 1300 = 2800 m
T = 2800/60 * 18/5 = 168 sec
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 530 items for $150 each, what will her monthly salary be?
|
[
"$1,500",
"$1,800",
"$6,400",
"$2,500",
"$2,800"
] |
Ans : 1000+ 7.5 % * 150 * (530-50) = $ 6400
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Juan is a gold medalist in athletics. In the month of May, if Juan takes 13 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
|
[
"10x/y",
"11x/y",
"9x/y",
"12x/y",
"13x/y"
] |
velocity=distance/time;
since he ran at same rate both d tyms,
y/13=x/t
so t=13x/y
ANSWER:E
The answer is: E
|
E
|
mathematics
|
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $55,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
|
[
"$10,000",
"$11,200",
"$12,000",
"$12,800",
"$19,800"
] |
Total Cost of 2 Machines of Type A
= 20% of (Cost of 2 machine A) + remainder + 40 % remainder
= 20% of 40000 + (40000 - 20% of 40000) + 40% of (40000 - 20% of 40000)
= 52800
Total Cost of 1 Machine of Type B
= 20% of (Cost of 1 machine B) + remainder + 40 % remainder
= 20% of 55000 + (55000 - 20% of 55000) + 40% of (50000 - 20% of 55000)
= 72600
Diff = 72600 - 52800 = 19800
Hence, E.
The answer is: E
|
E
|
mathematics
|
Due to construction, the speed limit along an 4-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
|
[
"5",
"8",
"10",
"15",
"2"
] |
4/35 - 4/55 = 4/5 * ( 11 - 7)/77
= 4/5 * 4/77 * 60 min
= 4 * 12 * 4/77
= 192/77 ~ 2.4
Answer - E
The answer is: E
|
E
|
mathematics
|
Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
|
[
"4.1",
"3.6",
"2.6",
"5.0",
"5.5"
] |
B
3.6
In this simple subtraction series, each number decreases by 0.4.
The answer is: B
|
B
|
mathematics
|
An object thrown directly upward is at a height of h feet after t seconds, where h = -12 (t-3)^2 + 120. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
|
[
"48",
"54",
"60",
"66",
"72"
] |
We see that h will be a maximum h=120 when t-3=0, that is when t=3.
At t=5, h = -12*(5-3)^2 + 120 = -12(4) + 120 = 72
The answer is E.
The answer is: E
|
E
|
mathematics
|
A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
|
[
"7",
"13",
"19",
"10",
"None"
] |
1/6 Γ’β¬β 1/15 = 1/10
B can do the work in 10 days
Answer: D
The answer is: D
|
D
|
mathematics
|
Find the odd man out. 3, 8, 18, 38, 78, 158, 316
|
[
"38",
"158",
"316",
"8",
"None of these"
] |
Explanation :
3
3 Γ 2 + 2 = 8
8 Γ 2 + 2 = 18
18 Γ 2 + 2 = 38
38 Γ 2 + 2 = 78
78 Γ 2 + 2 = 158
158 Γ 2 + 2 = 318
Hence, 316 is wrong and 318 should have come in place of that. Answer : Option C
The answer is: C
|
C
|
mathematics
|
Express a speed of 36 kmph in meters per second?
|
[
"10",
"22",
"88",
"299",
"22"
] |
36 * 5/18 = 10 mps
Answer: A
The answer is: A
|
A
|
mathematics
|
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
|
[
"2.9 hrs",
"8.9 hrs",
"2.9 hrs",
"7.2 hrs",
"8 hrs"
] |
Net part filled in 1 hour = (1/4 - 1/8)
= 1/8
The cistern will be filled in 8 hrs i.e., 8 hrs.
Answer:E
The answer is: E
|
E
|
mathematics
|
Find the middle one when The sum of three consecutive even numbers is 36?
|
[
"10",
"12",
"14",
"15",
"16"
] |
3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
The answer is: B
|
B
|
mathematics
|
If a and b are negative and positive integers respectively,which of the following options must be positive?
|
[
"ab",
"a/b",
"2a/b",
"4a/b",
"(a + b)^2"
] |
A. np
-ve*+ve=-ve
will be negative
B. n/p
-ve/+ve=-ve
C.2a/b
-ve/+ve=-ve
D.4a/b
-ve/+ve=-ve
E.(a + b)^2
will be positive irrespective of the absolute values of x and y
will be positive always
The answer is: E
|
E
|
mathematics
|
By selling 14 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
|
[
"28",
"26",
"25",
"23",
"21"
] |
80% --- 14
120% --- ?
80/120 * 14 = 21
Answer:E
The answer is: E
|
E
|
mathematics
|
For any function Fn(x)=Fnβ1(F(x))Fn(x)=Fnβ1(F(x)) if for n > 1 also g(x) = 1/x, h(x) = xβββx and k(x) = x2x2 then what is the value of g(h3(k2(x)))?
|
[
"1",
"8",
"7",
"6",
"12"
] |
Given Fn(x)=Fnβ1(F(x));Fn(x)=Fnβ1(F(x)); g(x) = 1/x; h(x) = xβββx; k(x) = xβββx
Then, k(k(x)) = (x2)2=x4(x2)2=x4
And, h3(k2(x))=h(h(h(k2(x))))=h(h(x2))=h(x)=xβββ.h3(k2(x))=h(h(h(k2(x))))=h(h(x2))=h(x)=x.
And, g(h3(k2(x)))=g(xβββ)=1/xβββ.g(h3(k2(x)))=g(x)=1/x.
Hence answer is option (A).
The answer is: A
|
A
|
mathematics
|
Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
|
[
"7.16",
"7.12",
"7.11",
"7.15",
"7.13"
] |
T = (121 + 165)/ (80 + 65) * 18/5
T = 7.15
Answer: D
The answer is: D
|
D
|
mathematics
|
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
|
[
"828",
"788",
"378",
"750",
"288"
] |
Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min.
= 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60
= 25 Γ¨ x = 25 * 60 / 2
= 750
Answer: D
The answer is: D
|
D
|
mathematics
|
Which of the following values is the greatest?
|
[
"11% of 89",
"22% of 78",
"33% of 67",
"44% of 56",
"55% of 45"
] |
Now, 89 < 78*2 < 67*3 < 56*4 < 45*5;as we can see option E, has the highest value for 11% , hence the answer must be E.
ANSWER:E
The answer is: E
|
E
|
mathematics
|
When the positive integer e is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer f is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of e-f?
|
[
"12",
"24",
"35",
"16",
"30"
] |
If I have a number n which when divided by 5 gives a remainder 3 and when divided by 7 gives a remainder 4, the number is of the form:
n = 5e + 3
n = 7f + 4
I will need to check for the smallest such number.
I put f= 1. n = 11. Is it of the form 5e + 3? No.
Put f= 2. n = 18. Is it of the form 5e + 3? Yes.
When 18 is divided by 5, it gives a remainder of 3. When it is divided by 7, it gives a remainder if 4.
Next such number will be 35 + 18 because 35 will be divisible by 5 as well as 7 and whatever is the remainder from 18, will still be the remainder
Next will be 35*2 + 18
and so on...
Difference between such numbers will be a multiple of 35 so your answer is 35.
your answer is C
The answer is: C
|
C
|
mathematics
|
For a,f,d are the positive integers, and d|a means that βa is divisible by dβ, if d|af, which of the following must be true?
|
[
"d|a",
"d|f",
"d|2af",
"d|(a+f)",
"d|(a-f)"
] |
d/a means a is divisible by d
d/af means af divisible by d.
all are integers so ,
if af is divisible by d,
1 a can be divisible by d
or
2 f can be divisble by d.
so the question stem asks must true.
so option a and b are could but not must.
option c is 2af divisible by d. if ab is divisible by d then 2af is divisible by d.
option d and e we can't predict.
so option C is correct.
The answer is: C
|
C
|
mathematics
|
A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?
|
[
"96 km",
"100 km",
"106 km",
"116 km",
"126 km"
] |
Distance covered in first two hours = 10 Γβ 2 = 20 km
Distance covered in next two hours = 12 Γβ 2 = 24 km
Distance covered in next two hours = 14 Γβ 2 = 48 km
Distance covered in first six hours
20 + 24 + 48 = 92 km
Remaining distance = 8 km
92 + 8 = 100 km
Answer B
The answer is: B
|
B
|
mathematics
|
Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
|
[
"20",
"22",
"23",
"26",
"28"
] |
Explanation: This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
What is the 2532nd position of the number in the sequence
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,β¦..
|
[
"1",
"2",
"3",
"4",
"5"
] |
10,20,30,40...
10(1+2+3----+22)=2530
That mean upto 22 th pos total numbers are 2530
2532 th numner must be 1..
ANSWER:A
The answer is: A
|
A
|
mathematics
|
If 4x + y = 8 and β2x + y = 13, then what is the value of 2x + 2y?
|
[
"1/7",
"3",
"15",
"21",
"60/7"
] |
4x + y = 8
β2x + y = 13
Adding both the equations --> 2x + 2y = 21
Answer: D
The answer is: D
|
D
|
mathematics
|
The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
|
[
"25 years",
"30 years",
"36 years",
"Cannot be determined",
"None of these"
] |
Let the school ages of Neelam and Shaan be 5x and 6x years respectively.
Then, (1/3 * 5x)/(1/2 * 6x) = 5/9
15 = 15
Thus, Shaan's age cannot be determined.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
|
[
"18%",
"19%",
"68%",
"19%",
"38%"
] |
1500 ---- 270
100 ---- ? => 18%
Answer:A
The answer is: A
|
A
|
mathematics
|
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following W is a possible value for x + y?
I. 18
II. 19
III. 20
|
[
"I only",
"II only",
"W=III only",
"II and III only",
"None"
] |
TIP FOR SUCH QUESTIONS:Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about
i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as
m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7
i.e. Min Value of x = 8
AND
i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as
n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11
i.e. Min Value of y = 12
i.e. Minimum Value of x+y = 8+12 = 20
Hence III only can be True
Answer: Option
C
The answer is: C
|
C
|
mathematics
|
Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didnβt know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself.
Now that each of the guests has been given $1 back, each has paid $9, bringing the total paid to $27. The bellhop has $2. If the guests originally handed over $30, what happened to the remaining $1?
|
[
"$30",
"$20",
"$10",
"$40",
"$50"
] |
There is no missing dollar. A dollar only goes "missing" because the statement "each man paid $9 for the room" is wrong - each of three men paid out a total of $9, but that $9 included both the room charge and the bellboy's tip. All in all, each man paid out a total of $9 and had $1 left over, completely accounting for the $30 they started with.. Hotel - $25 Bellhop - $2 Customers - $1 each $25 + $2 + $3 = $30
Answer A
The answer is: A
|
A
|
mathematics
|
A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
|
[
"30 min",
"35 min",
"45 min",
"50 min",
"55 min"
] |
there are 9 hours in between 9 a.m. to 6 p.m.
9*5=45 minutes.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Series Problem like 4 12 x 44 46 132 134 begin of the Skype highlighting 44 46 132 134 end of the Skype highlighting. Find x?
|
[
"13",
"14",
"15",
"16",
"17"
] |
134-132=2
46-44=2
x-12=2
x=14
ANSWER:B
The answer is: B
|
B
|
mathematics
|
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?
|
[
"1/3",
"1/6",
"1/4",
"1/8",
"1/5"
] |
Must be once on heads and twice on tails
1/2*1/2*1/2 = 1/8
Answer: D
The answer is: D
|
D
|
mathematics
|
If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter
|
[
"42 cm",
"64 cm",
"56 cm",
"52 cm",
"None of these"
] |
Explanation : Let the diagonals be PR and SQ such that PR = 24 cm and SQ = 10 cm PO = OR = 24/2=12 cm
SO = OQ = 10/2=5 cm
PQ = QR = RS = SP = β(122 + 52) = β(144+25) = β169 = β13 cm
perimeter = 4 Γ 13 = 52 cm Answer : Option D
The answer is: D
|
D
|
mathematics
|
If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 8 percent?
|
[
"a. $280",
"b. $776.47",
"c. $892",
"d. $1108",
"e. $1200"
] |
2 equations with 2 unknowns
9x / 100 - 8y / 100 = 48
and
x + y = 2000
Solving these 2 equations, x = 1223.53 and y = 776.47
Answer B.
The answer is: B
|
B
|
mathematics
|
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area R covered by the two roads?
|
[
"400",
"1550",
"1575",
"1600",
"1625"
] |
Area Covered by Road Along the Length = 5*200 = 1000 Square Meter
Area Covered by Road Along the Width = 5*120 = 600 Square Meter
Common Area in both Roads (where the roads intersect) = Square with Side 5 meter = 5*5 = 25
Total Area of the Roads R = 1000+600-25 = 1575
Answer: option C
The answer is: C
|
C
|
mathematics
|
A and B entered into a partnership investing Rs. 13,000 and Rs. 12,000 respectively.After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more, After 3 more months, C joins the business with a capital of Rs. 21,000, The share of B exceeds that of C, out of a total profit of Rs. 26,400 after one year by?
|
[
"8340",
"3600",
"2787",
"1287",
"3627"
] |
A : B : C = (16000 * 3 + 11000 * 9) : (12000 * 3 + 17000 * 9) : (21000 * 6)
= 147 : 189 : 126
= 7 : 9 ; 6.
Difference of B and C's shares = Rs. ( 26400 * 9/22 - 26400 * 6/22 )
= Rs. 3600.
Answer: B
The answer is: B
|
B
|
mathematics
|
A sum of Rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
|
[
"1642",
"1640",
"1632",
"1688",
"6386"
] |
(x*8*3)/100 = ((2743 - x)*3*5)/100
24x/100 = 41145/100 - 15x/100
39x = 41145 => x = 1055
Second sum = 2743 β 1055
=1688
Answer:D
The answer is: D
|
D
|
mathematics
|
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/3 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
|
[
"(a) 14/23",
"(b) 7/15",
"(c) 10/21",
"(d) 17/35",
"(e) 1/2"
] |
This problem is very good example how easy and quick plug-in method might be.
Let the total # of cups be 10.
# of small cups sold 3/5*10=6;
# of large cups sold 10-6=4;
Let the price of small cup be $6, then the price of larges cup would be 7/3*6=$14;
Revenue from small cups: 6*$6=$36;
Revenue from large cups cups: 4*$14=$56;
Fraction of total revenue from large cups: 56/(36+56)=14/23.
Answer: A.
The answer is: A
|
A
|
mathematics
|
Pipe A can fill a tank in 10 hours, pipe B in 8 hours, and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled?
|
[
"2",
"3",
"4",
"5",
"6"
] |
The part filled by A + B + C in 1 hour
= 1/10 + 1/8 + 1/40
= 10/40 = 1/4
All the three pipes together will fill the tank in 4 hours.
The answer is C.
The answer is: C
|
C
|
mathematics
|
The sum of the squares of the fifth and the eleventh term of an AP is 3 and the product of the second and fourteenth term is equal to P.Find the product of the first and the fifteenth term of the AP.
|
[
"(58P-39)/45",
"(98P+39)/72",
"(116P-39)/90",
"(98P+39)/90",
"None of these"
] |
(T5)^2+(T11)^2=3
T2*T14=P
T1*T15=?
(a+4d)^2+(a+10d)^2=3
2a^2+28ad+116d^2=3.....(1)
(a+d)(a+13d)=P
a^2+14ad+13d^2=P
a^2+14ad = P- 13d^2
1.5-45d^2=P
2P=3-90d^2...........(2)
a^2+14ad=?
=P-13d^2
=P-13(3-2P)/90
=(116P-39)/90
ANSWER:C
The answer is: C
|
C
|
mathematics
|
From given equation find the value of x: 2xΒ² + 9x β 5
|
[
"1",
"1/2",
"1/3",
"2/3",
"2/5"
] |
That quadratic is factored as follows:
2xΒ² + 9x β 5 = (2x β 1)(x + 5).
Lesson 17.
Now, it is easy to see that the second factor will be 0 when x = β5.
As for the value of x that will make
2x β 1 = 0,
we must solve that little equation. (Lesson 9.)
We have:
2x = 1
x = 1
2
The solutions are:
x = 1/2 or β5
B
The answer is: B
|
B
|
mathematics
|
What is the units digit of 17^83 Γ 13^82 Γ 11^67?
|
[
"4",
"5",
"6",
"7",
"8"
] |
To find : the units digit of 17^83 Γ 13^82 Γ 11^87
Let's reduce the clutter and simplify the product
(7^83) (3^82) (1^87)
7 has a cyclicity of 4 : the last digit of any positive power of 7 repeats itself after every 4th power
so 7^5 has the same last digit as 7^1, 7^9, 7^13
Thus , 7^83 has the same last digit as 7^3, 7^7, 7^11 i.e.3
3 has a cyclicity of 4 : exactly the same routine as above
Thus , 3^82 has the same last digit as 3^2, 3^6, 3^10 i.e.9
Any power of 1 will result in1as the last digit
So, product of our last digits = 3 x 9 x 1 = 27....last digit is 4
Correct Option : A
The answer is: A
|
A
|
mathematics
|
3,5,8,13,22,__
|
[
"37",
"38",
"39",
"40",
"41"
] |
5=3*2-1
8=5*2-2
13=8*2-3
22=13*2-4
39=22*2-5
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If w = 20! + 17, then w is divisible by which of the following?
I. 15
II. 17
III. 19
|
[
"None",
"I only",
"II only",
"I and II",
"II and II"
] |
Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So w!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
The answer is: C
|
C
|
mathematics
|
Car Dealership X, the total profit from sales increased by 10 percent over the previous years, while the number of cars sold decreased by 10 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
|
[
"18%",
"20%",
"22%",
"23%",
"25%"
] |
Let Profit be x and cars sold be y
Originally Profit/Car = x/y
Now it is 1.1x / 0.9 y = 11/9 (x/y)
Increase in profit per car = ((2/9) (x/y)) / (x/y) * 100 = 22.22%
Answer = C
The answer is: C
|
C
|
mathematics
|
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 38, the dividend is:
|
[
"3648",
"3642",
"3636",
"3644",
"3864"
] |
Divisor = (5 * 38) = 190
= 10 * Quotient = Divisor
=> Quotient = 190/10 = 19
Dividend = (Divisor * Quotient) + Remainder
Dividend = (190 * 19) + 38 = 3648.
A
The answer is: A
|
A
|
mathematics
|
Pooja is selling her books at puzzles land at a strange price as
* she sells her book "Vanity" at $30
* she sells her book "Sybil" at $25
* she sells her book "xmen" at $20
At what price does she sell her book "twilight" ?
|
[
"54",
"23",
"40",
"87",
"20"
] |
C
40
Cost of each alphabet is 5
The answer is: C
|
C
|
mathematics
|
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
|
[
"7/12",
"5/9",
"1/36",
"5/12",
"8/9"
] |
No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 120 favourable cases.
The total cases are 6 * 6 * 6 = 216.
The probability = 120/216 = 5/9.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
|
[
"19%",
"11%",
"18%",
"218%",
"14%"
] |
Total CP = Rs. 42000 + Rs. 13000
= Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100
= 18%
Answer:C
The answer is: C
|
C
|
mathematics
|
One fourth of one third of two fifth of a number is 35. What will be40% of that number
|
[
"A)140",
"B)420",
"C)180",
"D)200",
"E)220"
] |
Explanation:
(1/4) * (1/3) * (2/5) * x = 35
then x = 35 * 30 = 1050
40% of 1050 = 420
Answer: Option B
The answer is: B
|
B
|
mathematics
|
Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 300 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
|
[
"250",
"300",
"350",
"700",
"500"
] |
Nice problem. +1.
First timetogetherthey run half of the circumference.
Second timetogetherthey run full circumference.
First time Brenda runs 300 meters, thus second time she runs 2*300 = 600 meters.
Since second time (when they run full circumference) Brenda runs 600 meters and Sally runs 150 meters, thus the circumference is 600 + 150 = 750 meters.
Answer: D.
The answer is: D
|
D
|
mathematics
|
A room is 7 meters 20 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
|
[
"10",
"15",
"17",
"19",
"21"
] |
Let us calculate both the length and width of the room in centimeters.
Length = 7 meters and 20 centimeters = 720 cm
width = 4 meters and 32 centimeters = 432 cm
As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.
Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 720 and 432 = 144
Thus, the number of square tiles required = (720 x 432 ) / (144 x 144) = 5 x 3 = 15
Answer: B
The answer is: B
|
B
|
mathematics
|
Two numbers are in the ratio of 5:9. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
|
[
"150,170",
"150,270",
"50,270",
"180,270",
"150,290"
] |
(5x-25):(9x-25) = 35:59
x = 30 => 150,270
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Lindsay can paint a room in 8 hours at a constant rate. If Lindsay paints the room for 4 hours and Joseph paints the rest of the room, who works at 1/2 constant rate of Lindsay. How long will it take for Joseph alone to paint the rest of the room?
|
[
"4hrs",
"8hrs",
"10hrs",
"12hrs",
"16hrs"
] |
Lindsay will do 4/8 in 4 hrs, so Lindsay does 1/2 of the work ..
Therefore, Joseph will do the remaining 1/2 work alone..
As the speed of Joseph is 1/2 rate of Lindsay, Joseph will do the 1/2 work in same time that Lindsay takes to complete full job...
ans 8
B
The answer is: B
|
B
|
mathematics
|
Find the odd man out
4, 9, 16, 25, 36, 50, 64, 81
|
[
"4",
"9",
"25",
"36",
"50"
] |
as 50 is only odd number.
ANSWER:E
The answer is: E
|
E
|
mathematics
|
A train speeds past a pole in 10seconds and a platform 50 m long in 20 seconds. Its length is:
|
[
"30 m.",
"40 m.",
"60 m.",
"50 m.",
"70 m."
] |
Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 10 => y = x/10
x + 50 / 20 = x / 10
x = 50 m.
Answer: Option D
The answer is: D
|
D
|
mathematics
|
Which of the following points is symmetric with y=x at (-2,-3)?
|
[
"(-3,-2)",
"(-2,1)",
"(2,1)",
"(-1,-2)",
"(-1,2)"
] |
We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it isreflectedover the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.
(-2,-3) would become (-3,-2).
Answer (A).
The answer is: A
|
A
|
mathematics
|
Simplify: 0.4*0.5+0.3*0.2
|
[
"0.52",
"0.26",
"0.48",
"0.64",
"0.46"
] |
Given exp. = 0.4*0.5+(0.3*0.2) = 0.2+0.06 = 0.26
Answer is B.
The answer is: B
|
B
|
mathematics
|
By using the numbers 0, 2, 3, 5 and 4 only once, how many five digit numbers can be made that are divisible by 8?
|
[
"18",
"24",
"48",
"16",
"52"
] |
A number to be divisible by 8 must end with 8, 16, 24,32,40...
So, there are the following cases possible:
035-24 --> the first three digits can be arranged in 3=6 ways.
054-32--> the first three digits can be arranged in 3=6 ways.
235-40--> the first three digits can be arranged in 3=6 ways.
Total = 6+6+6 = 18.
Answer: A.
The answer is: A
|
A
|
mathematics
|
A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
|
[
"125",
"113",
"189",
"153",
"142"
] |
A
125
96 passes out of 125 give an average of 76.8% .
The answer is: A
|
A
|
mathematics
|
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
|
[
"1277",
"2977",
"1200",
"2769",
"1971"
] |
P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer: C
The answer is: C
|
C
|
mathematics
|
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for fourtime as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was
|
[
"Rs.32000",
"Rs.62000",
"Rs.42000",
"Rs.52000",
"Rs.22000"
] |
3:1
4:1
------
12:1
1 ----- 4000
13 ----- ? => Rs.52,000
Answer: D
The answer is: D
|
D
|
mathematics
|
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 60% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
|
[
"64%",
"60%",
"66%",
"80%",
"84%"
] |
Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.6*0.6 = 0.36. So, the probability that he will be able to attend is 1 - 0.36 = 0.64.
Answer: A.
The answer is: A
|
A
|
mathematics
|
If each edge of cube increased by 10%, the percentage increase in surface area is:
|
[
"33.1",
"33.5",
"33.7",
"33.2",
"33.9"
] |
100 Γ (110)/100 Γ (110)/100 Γ (110)/100 => 1331/100 = 33.1%
Answer is A.
The answer is: A
|
A
|
mathematics
|
The music class consists of 4 girls and 6 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
|
[
"116",
"158",
"161",
"165",
"172"
] |
Reverse combinatorics approach is preferred method on this one
Note that at least 1 boy gives clue to using this method
All combinations - four girls = answer
All combinations is 10C3 = 120
All girls 4C3 = 4
So our answer is 120-4 = 116
Hence, answer is (A)
The answer is: A
|
A
|
mathematics
|
On a certain transatlantic crossing, 35 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
|
[
"33 1/3%",
"87.5%",
"50%",
"60%",
"66 2/3%"
] |
On a certain transatlantic crossing, 20 percent of a shipβs passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the shipβs passengers held round-trip tickets?
Solution: Let total number of passengers be 100
According to Q stem 40% of passengers who had round-trip tics have taken cars - let number of passengers with round trip be X then
40% of X = 35 => X= 87.5.
Answer B
The answer is: B
|
B
|
mathematics
|
The βs-numberβ of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^s, where s is the s-number of the result of his die roll, and plots 3^s on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
|
[
"3/8",
"13/36",
"17/36",
"19/36",
"23/36"
] |
If you calculate 3^s for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.
About distance: If the first result is 9 and the second is also 9, the distance is 9-9=0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is 81-9=72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance 81-9=72>9.
On the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:
probability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6) = 1/9
probability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9
probability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36
All together: 1/9 + 1/9 + 5/36 = 13/36=B
The answer is: B
|
B
|
mathematics
|
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
|
[
"64",
"36",
"52",
"86",
"24"
] |
We may have (1 black and 2 non black) or (2 black and 1 non black) or (3 black)
Required number of ways = 3C1*6C2+3C2*6C1+3C3 = 64
Answer is A
The answer is: A
|
A
|
mathematics
|
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increased by 3months. Find the age of the teacher?
|
[
"25",
"28",
"30",
"35",
"39"
] |
Total age of 39 persons = 39*15 = 585 years
Average age of 40 persons = 15yrs 3months = 61/4 years
Total age of 40 persons = 61/4 * 40 = 610 years
Age of the teacher = 610-585 = 25 years
Answer is A
The answer is: A
|
A
|
mathematics
|
The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by
|
[
"0.0021%",
"0.021%",
"2.1%",
"21%",
"None"
] |
Sol.
Net growth on 1000 = (32 - 11) = 21.
Net growth on 100 = (21/1000 Γ 100)% = 2.1 %.
Answer C
The answer is: C
|
C
|
mathematics
|
The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?
I. At least o ne of the numbers is odd.
II. Two of the three numbers must be same.
III. At least one number is the same as GCF.
|
[
"only",
"option II only",
"and III only",
"and II only",
"I and III only"
] |
Consider the following set: {2, 4, 8}.
GCF = 2.
LCM = 8 = 4*2.
The set discards options I and II. Only B fits.
Answer: B.
The answer is: B
|
B
|
mathematics
|
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
|
[
"9",
"11",
"15",
"5",
"20"
] |
221 + 43 = 264/17 = 9
ANSWER A
The answer is: A
|
A
|
mathematics
|
If q > a and L < a, which of the following cannot be true?
|
[
"d + L = 14",
"d - L = 7",
"d - L = 1",
"a - q = 9",
"a + d = 9"
] |
Is the answer D?
If q>a, then q-a>0 (always positive). The converse would be a-q<0 (always negative). Option D states that a-q=9, which can never be true.
The answer is: D
|
D
|
mathematics
|
If 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
|
[
"278.4 mtrs",
"378.4 mtrs",
"478.4 mtrs",
"488.4 mtrs",
"578.4 mtrs"
] |
If 20 men can build a wall 66 metres long in 6 days,
length of a similar wall that can be built by 86 men in 8 days = (66*86*8)/(6*20) = 11*172/5 = 1892/5 mtrs = 378.4 mtrs
ANSWER:B
The answer is: B
|
B
|
mathematics
|
When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?
|
[
"4.5",
"5",
"2.25",
"5.7",
"6.5"
] |
if $x$ is the number, x/3 * 12 = 9
=> 4x = 9
=> x = 2.25
C
The answer is: C
|
C
|
mathematics
|
The sum of two consecutive number is 87. Which is the larger number?
|
[
"42",
"43",
"44",
"45",
"46"
] |
Let consecutive number be x, x+1
Therefore sum of the consecutive number is x + x+1=87
2x+1=87
2x=86
x=43
Therefore larger number is x+1=44
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A total of 22 men and 28 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
|
[
"31",
"31.5",
"32.6",
"32.5",
"33"
] |
Let Aw = average age of women
Average = (Number of men X average age of men + Number of women X average age of women)/total number of people
35 * 50 = 22 * 38 + 28 * Aw
=>1750 = 836 + 28 Aw
=> 28 Aw = 914
=>Aw = 32.6
Answer C
The answer is: C
|
C
|
mathematics
|
How many diagonals does a 62-sided convex polygon have?
|
[
"1829",
"2356",
"3458",
"3843",
"4820"
] |
A 62-sided convex polygon has 62 vertices.
If we examine a single vertex, we can see that we can connect it with 59 other vertices to create a diagonal. Note that we can't connect the vertex to itself and we can't connect it to its adjacent vertices, since this would not create a diagonal.
If each of the 62 vertices can be connected with 59 vertices to create a diagonal then the total number of diagonals would be (62)(59) = 3658
However, we must recognize that we have counted every diagonal twice.
To account for counting each diagonal twice, we must divide 3658 by 2 to get 1829.
The answer is A.
The answer is: A
|
A
|
mathematics
|
Jim has arrived late for his golf tee time with his friends. When he arrives at the course, he discovers that his friends have already walked 180 yards ahead on the course and that they are continuing to walk forward at a rate of 1.5 yards per second. A bystander with a golf cart takes pity on Jim and drives him to meet his friends at the rate of 4 yards per second. Once Jim meets his friends, he exits the cart and walks with them at their rate for the next 120 yards. What is Jimβs approximate average speed for his total trip?
|
[
"1.8 yards per second",
"2.0 yards per second",
"2.4 yards per second",
"2.7 yards per second",
"3.0 yards per second"
] |
Given Jim's friends has a lead of 180 yards and moving at 1.5 yards/sec speed
Jim on golf cart with speed 4 yards/sec has to meet this friends, assuming he meets them after "t" secs
So the total distance traveled by Jim and his friends should be same so as to meet them=> 180+1.5t=4t
=> 180=2.5t
=>72 secs, so Jim meets his friends after traveling 72 secs at 4 yards/sec speed---First part of his journey (288 yards in 72 secs)
Now, Jim travels 120 yards with speed 1.5 yards/sec in 120/1.5=80 secs---second part of his journey (120 yards in 80 secs)
So avg speed of Jim= total distance traveled/ total time
=> (288+120)/(72+80)=408/152
=>2.7 yards/sec approx
Answer: D
The answer is: D
|
D
|
mathematics
|
Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 15 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
|
[
"4",
"5",
"6",
"12",
"None of these"
] |
The part of job that Suresh completes in 9 hours
= 9Γ’Ββ15 = 3Γ’Ββ5
Remaining job = 1 - 3Γ’Ββ5 = 2Γ’Ββ5
Remaining job can be done by Ashutosh in 2Γ’Ββ5 Γβ 15 = 6 hours
Answer C
The answer is: C
|
C
|
mathematics
|
For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 6 minutes from 9:00 in the morning to 6:00 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $6. If on one day 2 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
|
[
"$23400",
"$25920",
"$28080",
"$28500",
"$29160"
] |
From 9:00 in the morning to 6:00 in the afternoon, inclusive there are 9*10=90 five-minute intervals, thus total of 54*30 tickets were sold.
Say x student and 2x regular tickets were sold, then x+2x=90*30 --> x=30*30 and 2x=2*(30*30)=30*60.
Therefore, the total revenue from ticket sales that day was 30*30*6+30*60*10=$23,400.
Answer: A.
The answer is: A
|
A
|
mathematics
|
If x = y+3+4.5x and y = x+18, what is the value of x/y ?
|
[
"-6/5",
"-7/20.",
"1/4.",
"5/6.",
"1.5"
] |
Given x = y+3+4.5x --> Eq 1
and y = x+18 --> Eq 2
Here we are asked to find the value of X/Y ?
If you observe eq 1 , then we can understand that if we take Y as X then we get X value very quickly
Let's take X/Y = 1/4 => 4X = Y - eq 3.
Sub this value in eq 1 => we get X = 4X + 3 + 4.5 X
=> - 7.5X = 3
=> X = -2/5 --> Sub X in eq 3 to get Y, we get Y as -8/5.
X/Y = -2/5 / -8/5 => 1/4. we get the same value again.
Answer:option C is correct answer
The answer is: C
|
C
|
mathematics
|
What is the value of (P + Q)/(P - Q) if P/Q is 5?
|
[
"4/3",
"3/2",
"2/6",
"7/8",
"8/7"
] |
(P + Q)/(P - Q) = [(P/Q) + 1]/[(P/Q) - 1]
= (5 + 1)/(5 - 1)
= 6/4
= 3/2
ANSWER:B
The answer is: B
|
B
|
mathematics
|
k = 2^n + 8, where n is an integer greater than 1. If k is divisible by 9, which of the following MUST be divisible by 9?
|
[
"2^n - 8",
"2^n - 2",
"2^n",
"2^n + 4",
"2^n + 5"
] |
Given: k, M and N are integers
If k is a divisor of both N and M, then k is a divisor of N+M (and NβM and MβN)
We're told that 9 is a divisor of 2^n + 8
We also know that 9 is a divisor of9.
So, applying the above rule, 9 is a divisor of 2^n + 8 +9, and 9 is a divisor of 2^n + 8 -9=2^n -1
D
The answer is: D
|
D
|
mathematics
|
If Q is the least common multiple of 90,196, and 300, which of the following is NOT a factor of Q?
|
[
"600",
"700",
"900",
"2,100",
"4,900"
] |
IF Q is the least common multiple of 90,196 and 300, which of the following is NOT a factor of Q?
A- 600
B- 700
C- 900
D- 2100
E- 4900
90 = 2 * 3 * 3 * 5
196 = 2 * 2 * 7 * 7
300 = 2 * 2 * 3 * 5 * 5
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7 * 7
(TWO 2, TWO 3, TWO 5, TWO 7)
600 = 2 * 2 * 2 * 3 * 5 * 5
700 = 2 * 2 * 5 * 5 * 7
900 = 2 * 2 * 3 * 3 * 5 * 5
2100 = 2 * 2 * 3 * 5 * 5 * 7
4900 = 2 * 2 * 5 * 5 * 7 * 7=A
The answer is: A
|
A
|
mathematics
|
A watch passes through three hands and each gains 25%. If the 3rd sells it for Rs250, what did the 1st pay for it?
|
[
"110",
"120",
"128",
"143",
"145"
] |
First Purchased = 250 Wes= 128
C
The answer is: C
|
C
|
mathematics
|
An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 7 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
|
[
"9 and 6/7 pounds",
"10 and 1/10 pounds",
"10 and 2/5 pounds",
"136/13 pounds",
"11 and 1/7 pounds"
] |
Solution: Average weight = Total weight/number of packages. The total weight on Tuesday was 6 * (11 and 2/3 pounds), or 70 pounds. The total weight on Wednesday was 7 * (9 and 3/7 pounds), or 66 pounds. The sum of the weights for both days is 66 + 70, or 136 pounds. The average is 136 pounds/13 packages.
answer: D
The answer is: D
|
D
|
mathematics
|
Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65
|
[
"50",
"38",
"26",
"65",
"50"
] |
Explanation :
The pattern is (1Γ1)+1 , (2Γ2)+1 , (3Γ3)+1 , (4Γ4)+1 , (5Γ5)+1 , (6Γ6)+1 , (7Γ7)+1 , (8Γ8)+1
Hence, in place of 38, the right number was (6Γ6)+1 = 37
Answer : Option B
The answer is: B
|
B
|
mathematics
|
Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ?
|
[
"x = 4, y = 8",
"x = 4, y = 4",
"x = 2, y = 4",
"x = 8, y = 4",
"None of these"
] |
3 1/x * y 2/5 = 13ΒΎ
=> (3x + 1) / x + (5y + 1) / 2 += 55 / 4
only choice (4) i.e x = 8 and y = 4 satisfies the given equation.
3 (1/8) * 4 (2/5) = (25 / 8 ) * (22 / 5) = 55/4 = 13ΒΎ
ANSWER:D
The answer is: D
|
D
|
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