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mathematics
|
If 13 lions can kill 13 deers in 13 minutes how long will it take 100 lions to kill 100 deers?
|
[
"1 minutes",
"13 minute",
"100 minutes",
"10000 minutes",
"1000 minutes"
] |
we can try the logic of time and work,our work is to kill the deers so 13(lions)*13(min)/13(deers)=100(lions)*x(min)/100(deers)hence answer is x=13
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The dimensions of a certain machine are 48*32*52,if the size of the machine is increased proportionally until sum of dimensions equals 156.
|
[
"56*40*50",
"56*40*40",
"56*40*30",
"56*40*20",
"56*40*60"
] |
Given dimensions of a machine are 48*32*52
if the size is raised proportionally untill the sum of dimensions
sum of given dimensions is 48+32+52=132
difference of actual and increased=156-132=24
24/3=8
this means each dimension has to raise for 8 units
thus the new dimensions are 56*40*60
ANSWER:E
The answer is: E
|
E
|
mathematics
|
In the exam the average was found to be p mark. After deducting typographical error the average marks of 120 student reduced from 90 to 70 . Due to this the average came down by 12 marks. What was the number of students who took the exam?
|
[
"100",
"120",
"200",
"130",
"160"
] |
Explanation :
Number of student = (90-70) * 120/12 = 200
Answer : C
The answer is: C
|
C
|
mathematics
|
144 choclates are distributed to children with the same number. What can’t be the range including the number of children?
|
[
"1~10",
"50~60",
"20~30",
"10~20",
"70~80"
] |
-> In 144=1*144=2*72=4*36=6*24=8*18=9*16, you can come up with 4 cases.
Amongst these cases, what is not included is B. 50~60. Therefore, the answer is B.
The answer is: B
|
B
|
mathematics
|
The smallest number which when diminished by 6, is divisible 12, 14, 16, 18 and 22 is:
|
[
"11099",
"11094",
"11091",
"10323",
"10483"
] |
Required number = (L.C.M. of 12, 14, 16, 18, 22 ) + 6
= 11088 + 6
= 11094
Answer: Option B
The answer is: B
|
B
|
mathematics
|
The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
|
[
"Rs. 2400",
"Rs. 2490",
"Rs. 2500",
"Rs. 2550",
"Rs. 2600"
] |
Let the price of a saree and a shirt be Rs. x and Rs. y respectively.
Then, 2x + 4y = 1600 .... (i)
and x + 6y = 1600 .... (ii)
Divide equation (i) by 2, we get the below equation.
=> x + 2y = 800. --- (iii)
Now subtract (iii) from (ii)
x + 6y = 1600 (-)
x + 2y = 800
----------------
4y = 800
----------------
Therefore, y = 200.
Now apply value of y in (iii)
=> x + 2 x 200 = 800
=> x + 400 = 800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.
A
The answer is: A
|
A
|
mathematics
|
If B and C are digits and 8BC is a 3-digit number that is divisible by 5, which of the following is a possible product of B and C?
|
[
"1",
"2",
"5",
"7",
"14"
] |
Try with the options -
A. If BC = 1 , both B and C must be 1
B. If BC = 2 , either B or C must be 1 or 2 ; In that case sum of the digits will be 8 + 1 + 2 = 11 which is not divisible by 3
C. If BC = 5 , either B or C must be 1 or 5 ; In that case sum of the digits will be 8 + 1 + 5 = 14 which is not divisible by 3
D. If BC = 6 , then we can have the following possibilities
i. Either B or C must be 2 or 3 ; In that case sum of the digits will be 8 + 2 + 3 = 13 which is not divisible by 3
ii. Either B or C must be 1 or 6 ; In that case sum of the digits will be 8 + 1 + 6 = 15 which is divisible by 3
E. If BC = 14 , then either B or C must be 2 or 7 ; In that case sum of the digits will be 8 + 2 + 7 = 17 which is not divisible by 5
Thus answer is (D)
The answer is: D
|
D
|
mathematics
|
If a person throw 2 dice simultaneously then find the probability of the sum of dots is a prime number?
|
[
"5/12",
"6/13",
"8/17",
"9/11",
"3/5"
] |
If 2 dies are thrown E = event of getting a prime number = 15
total number of possible out comes = 36
probability = 15/36 = 5/12
Answer is A
The answer is: A
|
A
|
mathematics
|
If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is?
|
[
"–3",
"9/2",
"1",
"2",
"3"
] |
x = 3y
2a - 3y = 3(3b - y)
2a - 3y = 9b - 3y
2a = 9b
a/b = 9/2
Answer: B
The answer is: B
|
B
|
mathematics
|
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
|
[
"2",
"4",
"12",
"0",
"13"
] |
E
13
This is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.
The answer is: E
|
E
|
mathematics
|
A boy has nine trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?
|
[
"50ways",
"90ways",
"100ways",
"108ways",
"56ways"
] |
The boy can select one trouser in nine ways.
The boy can select one shirt in 10 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 10
= 90 ways.
Answer: B
The answer is: B
|
B
|
mathematics
|
A Jar contains a mixture of AB in the ratio 4:1. When 40 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially.
|
[
"12",
"15",
"16",
"64",
"25"
] |
40 litres of mixture that is replaced will contain 32 litres of A and 8 litres of B (as A:B = 4:1)
Let the initial volume of the mixture be 4K + 1K = 5K
So by condition ,
[ 4K-32 ]/ [ K-8+40 ] = 2/3 => 12K -96= 2K-16+80 => 10K = 160
Solve for K which is K = 16
So initial volume of liquid A = 4K = 64 litres
Answer : D
The answer is: D
|
D
|
mathematics
|
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
|
[
"22 Yrs",
"25 Yrs",
"26 Yrs",
"32 Yrs",
"34 Yrs"
] |
Sol. Total age of 39 persons = (39 x 15) years
= 585 years.
Average age of 40 persons= 15 yrs 3 months
= 61/4 years.
Total age of 40 persons = (_(61/4 )x 40) years= 610 years.
:. Age of the teacher = (610 - 585) years=25 yANSWER B
The answer is: B
|
B
|
mathematics
|
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
|
[
"7.2",
"4.2",
"6.1",
"7.2",
"8.2"
] |
Explanation:
distance = 600 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distance/time = 600/300 = 2m/s
= 2×185 km/hr = 365 km/hr = 7.2 km/hr
Answer: Option A
The answer is: A
|
A
|
mathematics
|
There are 20 poles with a constant distance between each pole. A car takes 21 second to reach the 12th pole. How much will it take to reach the last pole.
|
[
"36.4543",
"36.2727",
"31.45128",
"36.41288",
"31.41222"
] |
Assuming the car starts at the first pole.
To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).
11 poles 21 seconds
1 pole (21/11) seconds
To reach the last (20th) pole, the car needs to travel 19 poles.
19 pole 19 x (21/11) seconds
= 36.2727 seconds
Answer:B
The answer is: B
|
B
|
mathematics
|
Which of the following could be the sides of an obtuse angled triangle? all values are in degree only
I. 51, 29, 100
II. 10,110, 60
III.30 ,30 ,120
|
[
"I and III only",
"II only",
"III only",
"I and II only",
"I, II and III"
] |
obtuse angled triangle means one angle more than 90 deg and total 180 deg. I,II and III only
E
The answer is: E
|
E
|
mathematics
|
Two years ago, Arthur gave each of his five children 20 percent of his fortune to invest in any way they saw Fit. In the first year, three of the children, Alice, Bob, and Carol, each earned a profit of 50 percent on their Investments, while two of the children, Dave and Errol, lost 40 percent on their investments. In the second Year, Alice and Bob each earned a 10 percent profit, Carol lost 60 percent, Dave earned 25 percent in profit, And Errol lost all the money he had remaining. What percentage of Arthur's fortune currently remains?
|
[
"93%",
"97%",
"100%",
"107%",
"120%"
] |
Say Arthur's fortune was $100. Then:
A = 20*1.5*1.1 = 33
B = 20*1.5*1.1 = 33
C = 20*1.5*0.4 = 12
D = 20*0.6*1.25 = 15
E = 0
Total 33 + 33 + 12 + 15 = 93.
Answer: A.
The answer is: A
|
A
|
mathematics
|
A Guava costs Rs 8 each and a apple costs Rs. 21 each. If I spend Rs 101 on total what is the number of guava I purchased?
|
[
"5",
"4",
"3",
"6",
"10"
] |
10 * 8+21 = 101
Answer : 10
Option : E
The answer is: E
|
E
|
mathematics
|
In 1 hour, a boat goes 9 km along the stream and 3 km against the stream. The speed of the boat in still water (in km/hr) is :
|
[
"3 km/hr.",
"2 km/hr.",
"6 km/hr.",
"8 km/hr.",
"5 km/hr."
] |
Speed in still water = 1/2(9 + 3) km/hr
= 6 km/hr. ANSWER :C
The answer is: C
|
C
|
mathematics
|
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
|
[
"17",
"12",
"15",
"19",
"65"
] |
Let the average after the 16th inning be P.
So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64
= 16P => P = 19.
Answer:D
The answer is: D
|
D
|
mathematics
|
In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 34% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
|
[
"35.67%",
"66.90%",
"68.57%",
"69.57%",
"none of these"
] |
Girls = 900, Boys = 1100
Passed = ( 34% of 1100 ) + ( 32% of 900)
= 374 + 288 = 662
Failed = 2000 - 662 = 1338
Failed % = [(1338/2000) x 100]%
= 66.9%.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/11 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
|
[
"21",
"35",
"33",
"60",
"65"
] |
The total number of the people in the room must be a multiple of both 7 and 11 (in order 3/7 and 5/11 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 11, which is 77.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 77 people in the room.
Therefore there are 3/7*77=33 people in the room under the age of 21.
Answer: C.
The answer is: C
|
C
|
mathematics
|
A woman can row upstream 14 kmph and downstream 26 kmph. Find the rate of the stream and woman rate in still water.
|
[
"4,20",
"20,20",
"8,20",
"20,5",
"6,20"
] |
Explanation:
Please remember,
If a is rate downstream and b is rate upstream
Rate of current = 1/2(a-b)
Rate in still water = 1/2(a+b)
=> Rate of current = 1/2(26-14) = 6 kmph
=> Rate in still water = 1/2(26+14) = 20 kmph
Option E
The answer is: E
|
E
|
mathematics
|
2/5 of the fish in an aquarium is red and 1/4 of the fish is brown. 1/4of the red fish and 1/5 of the brown fish is male. If the rest of the fish in the aquarium is female, what is the probability that a fish randomly picked from the aquarium is male?
|
[
"3/20",
"7/30",
"5/16",
"1/3",
"2/5"
] |
Straight method....
1/4 of 2/5 + 1/5 of 1/4 = 2/20 +1/20 =3/20
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A type T machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type T machines and 3 type B machines working together and independently to complete the job?
|
[
"1/5",
"29/35",
"5/6",
"35/29",
"35/12"
] |
now D should be the answer.
T need 5 hours to complete
and B needs 7 hours to compete
so 2T + 3B will complete 2/5 + 3/7 or 29/35 portion of the job in 1 hour
so the whole job will take 35/29 hours....=D
The answer is: D
|
D
|
mathematics
|
The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
|
[
"122",
"156",
"118",
"125",
"123"
] |
1 to 11 = 11 * 44 = 484
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 484 = 122
Answer:A
The answer is: A
|
A
|
mathematics
|
In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:
|
[
"16",
"17",
"18",
"19",
"14"
] |
Let there were x teams participating in the games, then total number of matches,
nC2 = 153.
On solving we get,
=> n =−17 and n =18.
It cannot be negative so,
n = 18 is the answer.
OPTION:C
The answer is: C
|
C
|
mathematics
|
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 80. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
|
[
"2",
"3",
"9",
"15",
"30"
] |
WITHOUTusing the formula, we can see that today the restaurant served 30 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 30 customers must offset the “deficit” below the average of 90 created on the x days the restaurant served only 80 customers per day.
30/10 = 3 days.Choice (A).
WITHthe formula, we can set up the following:
90 = (80x + 120)/(x + 1)
90x + 90 = 80x + 120
10x = 30
x = 3Answer Choice (B)
The answer is: B
|
B
|
mathematics
|
An engineer undertakes a project to build a road 15 km long in 300 days and employs 50 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
|
[
"a. 43",
"b. 45",
"c. 75",
"d. 68",
"e. 60"
] |
50 workers working already
Let x be the total men required to finish the task in next 200 days
2.5 km done hence remaining is 12.5 km
Also, work has to be completed in next 200 days (300 - 100 = 200)
We know that, proportion of men to distance is direct proportion
and, proportion of men to days is inverse proportion
Hence, X = (50 * 12.5 * 100) / (2.5 * 200)
thus, X = 125
Thus, more men needed to finish the task = 125-50=75
hence Answer is C
The answer is: C
|
C
|
mathematics
|
Bradley owns b video game cartridges. If Bradley’s total is one-seventh the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
|
[
"27b / 4",
"29b / 4",
"31b / 4",
"33b / 4",
"35b / 4"
] |
b = Bradley’s total
7b = Andrew’s total
b/4 = Charlie’s total
The total number of cartridges is:
b + 7b+ b/4 = (4b + 28b + b) / 4 = 33b / 4
The answer is D.
The answer is: D
|
D
|
mathematics
|
AB
+BA
___
202
In the addition problem above, A and B represent digits in two different two-digit numbers. What is the sum of A and B?
|
[
"6",
"8",
"9",
"20",
"14"
] |
two ways to do it..
1) straight logic..
only 20 fits in..
D
The answer is: D
|
D
|
mathematics
|
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
|
[
"250",
"320",
"364",
"390",
"430"
] |
A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
The answer is: C
|
C
|
mathematics
|
A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
|
[
"3 hrs 45 min",
"3 hrs 45 min",
"3 hrs 42 min",
"3 hrs 65 min",
"3 hrs 35 min"
] |
Time taken by one tap to fill the tank = 3 hrs.
Part filled by the taps in 1 hour = 4 * 1/6 = 2/3
Remaining part = 1 - 1/2 = 1/2
2/3 : 1/2 :: 1 : x
x = 1/2 * 1 * 3/2 = 3/4 hrs. i.e., 45 min
So, total time taken = 3 hrs 45 min.
Answer:B
The answer is: B
|
B
|
mathematics
|
If two sides of a triangle are 10 and 8, which of the following could be the area of triangle?
1. 35
2. 48
3. 56
|
[
"a) 1 only",
"b) 1 and 2 only",
"c) 1 and 3 only",
"d) 2 and 3 only",
"e) 1, 2 and 3 only"
] |
when two sides of a triangle are known , the maximum area occurs when the angle between those two sides is 90.
lets say base = 12 , height =8 (angle = 90)
maximum area = (1/2)*12*8 = 48 ( this is the same maximum area even when base is 8 and height is 12).
if we fix the base and keep lowering the angle, it will result in a lower height . hence the resulting area will always be < 48.
C,D and E are ruled out.
1 and 3 are possible areas as their areas are less than 48.
Hence the answer is C.
The answer is: C
|
C
|
mathematics
|
Find the L.C.M of 40,60,800
|
[
"2600",
"1200",
"800",
"2400",
"4800"
] |
40=2^3*5 60=2^2*3*5 800=2^5*5^2
L.C.M=2^5*3*5^2=2400
Answer=(D)
The answer is: D
|
D
|
mathematics
|
In a group of 86 students, each student is registered for at least one of three classes – History, Math and English. Twenty-eight students are registered for History, twenty-three students are registered for Math, and forty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
|
[
"3",
"10",
"9",
"8",
"7"
] |
A U B U C = A + B + C - AB-BC-AC + ABC
86 = 28 + 23+ 44 -AB-BC-AC +3 => AB+BC+AC = 12
Exactly Two classes = AB+BC+AC - 3ABC = 12 -3*3 = 3
Hence A
The answer is: A
|
A
|
mathematics
|
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.96 at the candy store. What is John’s weekly allowance?
|
[
"$3.00",
"$3.20",
"$3.40",
"$3.60",
"$3.80"
] |
x = 3x/5 + 1/3*2x/5 + 96
4x/15 = 96
x = $3.60 = $3.60
The answer is D.
The answer is: D
|
D
|
mathematics
|
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 18th board counting from the bottom of the stack. How many boards are in the stack?
|
[
"38",
"36",
"35",
"34",
"32"
] |
Counting from the top, after the 20th board, there are 16 boards left to count.
The answer is B.
The answer is: B
|
B
|
mathematics
|
A man buys a field of agricultural land for Rs. 3,60,000. He sells one-third at a loss of 20% and two-fifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall profit of 10%?
|
[
"Rs.1,00,000",
"Rs. 1,15,000",
"Rs. 1,20,000",
"Rs. 1,25,000",
"None of these"
] |
Solution: First Method
CP = 3600000.
To gain 10% on whole land, SP = 360000 + 10% of 360000 = Rs. 396000.
1/3 of the land sold on 20% loss.
SP of 1/3 land = (360000/3) - 20% of (360000/3) = Rs. 96000.
SP of 2/5 of the land = (360000 * 2)/5 + 25% of (360000*2)/5 = Rs. 180000.
Thus, SP of the remaining land = 396000 - 96000 - 180000 = Rs. 120000.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
A man had a stock of 500 books in his bookshop. He sold 25 on Monday, 50 on Tuesday 30 on Wednesday, 100 on Thursday and 150 on Friday. What percentage of the books were not sold?
|
[
"8%",
"10%",
"29%",
"44%",
"16%"
] |
Let N be the total number of books sold. Hence
N = 25 + 50 + 30 + 100 + 150= 355
Let M be the books NOT sold
M = 500 - N = 500- 355 = 145
Percentage
Books not sold / total number of books = 145/500 = 0.29= 29%
correct answer C
The answer is: C
|
C
|
mathematics
|
A military commander has to choose 2 soldiers out of a company of 9 for guarding the headquarters. How many different group combinations of 2 does he have to choose from?
|
[
"4",
"15",
"36",
"27",
"35"
] |
A military commander has to choose 2 soldiers out of a company of 9.
different group combinations of 2
He can do this in 9C2 ways
9*8/2*1= 36 ways
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of :
|
[
"Rs. 80",
"Rs. 115.20",
"Rs. 120",
"Rs. 125.40",
"None of these"
] |
Solution
For an income of Rs. 10, investment = Rs. 96.
For an income of Rs. 12, investment = Rs.(96/12x12) = Rs. 115.20.
Answer B
The answer is: B
|
B
|
mathematics
|
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
|
[
"1:2",
"1:5",
"1:4",
"1:1",
"1:8"
] |
T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Answer: A
The answer is: A
|
A
|
mathematics
|
Molly can do a task in 15 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
|
[
"8",
"10",
"11",
"12",
"14"
] |
Each day, Molly can do 1/15 of the task.
Each day, Sandy can do 1/30 of the task.
Each day, they can do 1/15 + 1/30 = 1/10 of the task.
The task will be completed in 10 days.
The answer is B.
The answer is: B
|
B
|
mathematics
|
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 30,000, C receives:
|
[
"s. 7,000",
"s. 7,200",
"s. 7,400",
"s. 7,700",
"s. 7,800"
] |
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
C's share = Rs. (30000 x 12/50) = Rs. 7,200.
B
The answer is: B
|
B
|
mathematics
|
he distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
|
[
"587 × 108 miles",
"587 × 1010 miles",
"587 × 10-10 miles",
"587 × 1012 miles",
"587 × 10-12 miles"
] |
The distance of the light travels in 100 years is:
5,870,000,000,000 × 100 miles.
= 587,000,000,000,000 miles.
= 587 × 1012 miles.
CORRECT ANSWER :D
The answer is: D
|
D
|
mathematics
|
In the following list of numerals, how many 3s are followed by 3, but NOT preceded by 3?
2 4 6 3 3 1 5 7 8 3 3 3 4 6 2 3 3 3 3 9 7 2 3
|
[
"1",
"2",
"3",
"4",
"5"
] |
633
833
233
Ans:3
ANSWER:C
The answer is: C
|
C
|
mathematics
|
__2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 3, what is the value of C?
|
[
"6",
"5",
"4",
"3",
"2"
] |
If A+B=3
assuming A and B are positive then A*B<10 (they could be either 1,2,)
therefore
A*B=C
2*B=C
A+B=3
Three simple equations - divide the 1st/2nd --> A=2 plug it the 3rd --> B=1 --> C=2 (ANSWER E)
The answer is: E
|
E
|
mathematics
|
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
|
[
"2:5",
"3:5",
"4:5",
"7:5",
"2:4"
] |
Let the third number be x.
Then, first number = 120% of x = 120x = 6x
100 5
Second number = 150% of x = 150x = 3x
100 2
Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5.
5 2
so the correct answer is option C)
The answer is: C
|
C
|
mathematics
|
what will be the next number in the following series??
2, 1, (1/2), (1/4),...
|
[
"1/3",
"1/8",
"2/8",
"1/16",
"3/8"
] |
4/2=2
2/2=1
1/2=1/2
(1/2)/2=1/4
(1/4)/2=1/8
so answer is 1/8
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
|
[
"18997",
"12000",
"28992",
"13009",
"28811"
] |
[1000 + (X-4000) * (2.5/100)] - X * (5/100)
= 600
X = 12000
Answer: B
The answer is: B
|
B
|
mathematics
|
The ratio 6 : 3 expressed as a percent equals
|
[
"12.5%",
"40%",
"80%",
"200%",
"None"
] |
Solution
6 : 3 = 6/3
= (6/3 x 100)%.
= 200 %.
Answer D
The answer is: D
|
D
|
mathematics
|
A bag marked at Rs. 80 is sold for Rs. 68. The rate of discount is
|
[
"10%",
"15%",
"20%",
"22%",
"None"
] |
Solution
Rate of discount = (12 / 80 x 100)%
= 15%.
Answer B
The answer is: B
|
B
|
mathematics
|
A shopkeeper sold an article offering a discount of 5% and earned a profit of 38.7%. What would have been the percentage of profit earned if no discount had been offered?
|
[
"28.5",
"46",
"30",
"Data inadequate",
"None of these"
] |
Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is 100.
Then printed price = 100×(100+38.7)/(100−5) =146
Hence, required % Profit = 146 – 100 = 46%
Answer B
The answer is: B
|
B
|
mathematics
|
A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
|
[
"$200",
"$177.78",
"$100",
"$277.78",
"$377.78"
] |
Let us suppose there are 100 people. 40% of them donated $16000 ( 400 * 40 )
$16000 is 60% of total amount.
So total amount = 16000 * 100/60
Remaining amount is 40% of total amount.
40% of total amount = 16000 * (100/60) * (40/100) = 32000/3
This amount has to be divided by 60 ( remaining people are 60 )
So per head amount is 32000/3 / 60 = 32000/180 = 1600/9 = $177.78;
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 7000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
|
[
"100000",
"100500",
"147000",
"Data inadequate",
"None of these"
] |
Let the investment of X in 1995 be x.
∴ Profit = x⁄5
∴ Income = (x + x⁄5) = 6⁄5x
Investment of company X in 1996 would be (x – 7000) From the question,
(x - 7000) × 126⁄100 = 6⁄5x ⇒ x = 147000
Answer C
The answer is: C
|
C
|
mathematics
|
If two integers x, y (x>y) are selected from -10 to 1 (inclusive), how many possible cases are there?
|
[
"150",
"66",
"190",
"210",
"240"
] |
If two integers x, y (x>y) are selected from -10 to 9 (inclusive), how many possible cases are there?
A. 150
B. 180
C. 190
D. 210
E. 240
--> 12C2=12*11/2=66. Therefore, the answer is B.
The answer is: B
|
B
|
mathematics
|
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares ?
|
[
"3",
"2",
"4",
"0",
"1"
] |
Explanation :
If we let the four-digit number be XXYY, then this number can be expressed as:
1000X + 100X + 10Y + Y = 1100X + 11Y = 11(100X + Y) = k^2 (since it's a perfect square)
In order for this to be true, 100X + Y must be the product of 11 and a perfect square, and looks like X0Y. So now our question is "which product of 11 and a perfect square looks like X0Y?" We can test them:
11 x 16 = 176; 11 x 25 = 275; 11 x 36 = 396; 11 x 49 = 593; 11 x 64 = 704; 11 x 81 = 891
The only one that fits the bill is 704.
This means there is only one four-digit number that works, and it's 7744.
Answer : E
The answer is: E
|
E
|
mathematics
|
In what time a sum of money double itself at 7% per annum simple interest?
|
[
"33 1/8%",
"33 1/3%",
"14 2/7%",
"32 1/3%",
"23 1/3%"
] |
P = (P*7*R)/100
R = 14 2/7%
Answer: C
The answer is: C
|
C
|
mathematics
|
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
|
[
"11 hrs",
"8 hrs 45 min",
"7 hrs 45 min",
"9 hrs 20 min",
"10 hrs 25 min"
] |
Explanation:
Solution 1Given that time taken for riding both ways will be 2 hours lesser than the time needed for waking one way and riding back.
Therefore,
time needed for riding one way = time needed for waking one way - 2 hours
Given that time taken in walking one way and riding back =5 hours 45 min
Hence, the time he would take to walk both ways
=5 hours 45 min + 2 hours
=7 hours 45 min
ANSWER IS C
The answer is: C
|
C
|
mathematics
|
John takes 10 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
|
[
"2 hours, 10 minutes",
"2 hours, 30 minutes",
"3 hours, 20 minutes",
"3 hours, 45 minutes",
"4 hours, 10 minutes"
] |
The rate of John plus Bill is 1/10 + 1/6 = 4/15 of the job completed per hour.
If Steve worked at the same rate as John, the rate would be 4/15 + 1/10 = 11/30
The slowest possible time would be 30/11 hours = 2 hours + 8/11 hours.
If Steve worked at the same rate as Bill, the rate would be 4/15 + 1/6 = 13/30
The fastest possible time would be 30/13 hours = 2 hours + 4/13 hours.
The actual time is somewhere between these two extreme points.
The answer is B.
The answer is: B
|
B
|
mathematics
|
A cement mixture is composed of 3 elements. By weight, 1/4 of the mixture is sand, 2/5 of the mixture is water, and the remaining 14 pounds of the mixture is gravel. What is the weight of the entire mixture in pounds?
|
[
"9",
"14",
"28",
"40",
"60"
] |
Let the total weight be x.
Sand content= (1/4)x
Water content= (2/5)x
Gravel=x-(1/4)x-(2/5)x=(7/20)x=14
x=40
Then answer will be D=40
The answer is: D
|
D
|
mathematics
|
If a + b > 0 and a * b < 0, which of the following must be true?
I. a > 0 or b > 0
II. a < 0 or b < 0
III. a and b have the same sign
|
[
"I only",
"II only",
"III only",
"I and II only",
"I, II, and III"
] |
I. True, for the sum to be greater than 0, at least one of a or b has to be positive
II. True, for the product to be less than 0, one of a or b has to be negative
III. Not true, by the previous two, one of a or b has to be positive and the other has to be negative
D
The answer is: D
|
D
|
mathematics
|
For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.2 – 6.2*?
|
[
"0.2",
"1.2",
"1.8",
"2.2",
"4.0"
] |
Since y* is defined as the greatest positive even integer less than or equal to y, then 6.2* = 4 (the greatest positive even integer less than or equal to 6.2 is 4).
Hence, 6.2 – 6.2* = 6.2 - 4 = 2.2
Answer: D.
The answer is: D
|
D
|
mathematics
|
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
|
[
"877m",
"180m",
"786m",
"165m",
"456m"
] |
Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: B
The answer is: B
|
B
|
mathematics
|
In how many ways can the letters of the word ED456 be rearranged such that the numbers always appear together?
|
[
"25",
"16",
"36",
"9",
"29"
] |
ED456
456 will come together as a group which can be arranged in 3!=6ways.
456,E,D can be arranged in 3!=6 ways.
total possible arrangements = 6*6=36 ways
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/100000 that a person who randomly guesses the answer to each question will be a winner?
|
[
"5",
"10",
"50",
"100",
"1000"
] |
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?
A.5
B.10
C.50
D.100
E.1000
Soln: ans is B
Probability that one question is answered right is 1/2.
Now for minimum number of questions needed to take probability less than 1/1000 is
=> (1/2)^n < 1/100000
n = 1000 satisfies this.
E
The answer is: E
|
E
|
mathematics
|
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 20 miles per gallon, and from Town B to Town C, the car averaged 25 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?
|
[
"20",
"18",
"21.4",
"16",
"10"
] |
step 1) took LCM of 20 and 25.. came as 100.
step 2) 100 distance between B to C... do 100/25 hence 4 gallons used
step 3) twice distance.. hence 100*2= 200... do as above.. 200/20= 10 gallons used
step 4) total gallons.. 4+10= 14 gallons
step ) total miles= 100+200= 300 miles
hence.. average of whole journey = 300/14 which comes to 21.4
Answer : C
The answer is: C
|
C
|
mathematics
|
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
|
[
"22",
"88",
"77",
"20",
"99"
] |
In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs = 20 min.
Answer: D
The answer is: D
|
D
|
mathematics
|
How many terms are in the G.P. 3, 6, 12, 24, ......., 384 ,768,1536
|
[
"8",
"9",
"67",
"5",
"10"
] |
Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 384 => a * r^(n-1) = 1536
=> 3 * 2^(n-1) = 1536 => 2^(n-1) = 512 = 2^(9)
=> n-1 = 9 => n = 10
Answer: E
The answer is: E
|
E
|
mathematics
|
A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
|
[
"32 minutes",
"28 minutes",
"29 minutes",
"30 minutes",
"31 minutes"
] |
8 minutes are needed to fill 150 bottles. How many groups of 150 bottles are there in 675 bottles?
675 /150 = 4.5 = 4 and 1/2
For each of these groups 8 minutes are needed. For 4 groups and 1/2
8 * 4 + 4 = 32 + 4 = 36 minutes. (4 is for 1/2 a group that needs half time)
We can also find the final answer as follows
4.5 x 8 = 32 minutes
correct answer A
The answer is: A
|
A
|
mathematics
|
In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately?
|
[
"12880",
"11850",
"13260",
"15200",
"17280"
] |
The six art students can be arranged in those 6 A-slots in 6! = 720 ways.
The four science students can be arranged in those 4 S-slots in 4! = 24 ways.
Total arrangements = 720*24 = 17280
Answer =(E)
The answer is: E
|
E
|
mathematics
|
In State X, all vehicle license plates have 2 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",
"45,697,600",
"676,000"
] |
The choices give us the answer without any calculations--
4 one digits places can take 10*10*10*10 ways..
2 letters places can be filled up in 26*26 ways
ans= 26*26*10*10*10*10=45,697,600
ans D
The answer is: D
|
D
|
mathematics
|
If the numerator of a fraction be increased by 12% and its denominator decreased by 2% the value of the fraction becomes 6/7. Thus, the original fraction is:
|
[
"1/4",
"2/4",
"3/4",
"2/3",
"1/3"
] |
If original fraction is x/y , then
1.12x/0.98y = 6/7
(8/7)*(x/y)=6/7
x/y =6/8=3/4
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
|
[
"Rs. 9400",
"Rs. 8900",
"Rs. 8400",
"Rs. 3400",
"Rs. 8440"
] |
Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23 = Rs. 8400.
Answer:C
The answer is: C
|
C
|
mathematics
|
1+2+2^2+2^3+2^4+2^5+2^6+2^7=？
|
[
"(2^4-1)(2^4+1)",
"2^6+1",
"2^5-1",
"2^5+1",
"2^5-2"
] |
From 1+2+2^2+2^3+2^4+2^5+2^6+2^7=1(2^8-1)/(2-1)=2^8-1=(2^4-1)(2^4+1), the correct answer is A.
The answer is: A
|
A
|
mathematics
|
0,1,2.9,5.61,9.05,?
|
[
"11.15",
"12.15",
"13.15",
"14.15",
"15.15"
] |
The series is 0, 1, 2.9, 5.61, 9.05, ...
Fisrt oder differences are 1, 1.9, 2.71, 3.44, ...
Second order differences are 0.9, 0.81, 0.73, ...
Note that the second order differences are powers of 0.9 (0.9, 0.81, 0.729, ...), rounded off to two decimal digits. So next term in second order difference is 0.9^4 = 0.6561 = 0.66. Then, the next term in first order difference is 3.44+0.66 = 4.1. So, the term in the series is 9.05+4.1 = 13.15
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
|
[
"1",
"2",
"3 min",
"4",
"5"
] |
3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done. C
The answer is: C
|
C
|
mathematics
|
The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years B in which the population would be doubled assuming there is no emigration or immigration is
|
[
"20",
"25",
"B=30",
"B=35",
"B=40"
] |
Suppose the population of the country in current year is 1000.
So annual increase is 1000 + 39.4 - 19.4=1020
Hence every year there is an increase of 2%.
2000=1000(1+(2/100))^n
n=35 Answer is D.
The answer is: D
|
D
|
mathematics
|
The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
|
[
"30",
"38",
"29",
"40",
"48"
] |
if the present age be x years.
father's will be (3x+4)years..
so, (3x+4+3)=2(x+3)+10
or, x=9
so the fathers present age =(3x+3)=(3*9+3)years =30years..
ANSWER : OPTION A
The answer is: A
|
A
|
mathematics
|
A circular rim 30 inches in diameter rotates the same number of inches per second as a circular rim 15 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
|
[
"48pi/x",
"75x",
"48x",
"24x",
"120x"
] |
Revolutions - circumference of the rim.
=> 30pi*X*60 = 15pi*Revolutions
=> 2/1 *X *60 = Revolutions => 120X - Option E
The answer is: E
|
E
|
mathematics
|
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04 is:
|
[
"0.125",
"0.135",
"0.145",
"0.155",
"0.165"
] |
Given expression
=(0.1)(power 3) + (0.02)(power 3) /2(power 3) [(0.1)(power 3) + (0.02)(power 3)]
=1/8
= 0.125
Answer is A
The answer is: A
|
A
|
mathematics
|
A person crosses a 500m long street in 5 minnutes. What is his speed in km per hour?
|
[
"6.01km/hr",
"7.2km/hr",
"9km/hr",
"2.5km/hr",
"3km/hr"
] |
Speed = 500/5*60 = 1.67m/sec
=1.67*18/5
=6.01km/hr
Answer is A
The answer is: A
|
A
|
mathematics
|
The Smiley Pie Eating team won 30% of the first contests they entered. An amazingly winning streak increased their average to 50%. How many consecutive contests must they have won to have achieved this average?
|
[
"30",
"20",
"10",
"25",
"35"
] |
Explanation: Let's set up an equation to find the solution. Total number of contest won to start was 30% of 75 = 22.5. Then, an amazing winning streak increases the percentage to 50%. Let x represent the unknown number of consecutive winning contests. Therefore, the total number of contests entered is (75+x). The total contests won is (22.5+x). With a 50% increase in the total contests won, we end up with a solution equation of 50% * (75+x)+22.5+x. Next, let's get rid of the percent sign and rewrite, then solve the equation. 50/100 * (75+x)=22.5+x
1/2 * (75+x)=22.5+x
2[ 1/2 * (75+x)]=2(22.5+x)
1 * (75+x)=45+2x
75+x=45+2x
(75-45)+x=(45-45)+2x
30+x=2x
(30+x =2x)/x
30=x
Answer: A
The answer is: A
|
A
|
mathematics
|
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 7 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
|
[
"27/343",
"3/7",
"27/125",
"341/422",
"9/125"
] |
Let us take 7*5=35 as the total number of customers. So 7*3=21 customers bought a bagel and 5*5=25 customers bought a coffee.
chances that at least 1 customer bought a coffee and a bagel = 1 - chances that no customer bought a coffee and a bagel
chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32*20/31*19/30*18/29=81/422
chances that at least 1 customer bought a coffee and a bagel= 1 - 81/422 = 341/422
Answer D.
The answer is: D
|
D
|
mathematics
|
Tough and Tricky questions: Combinations.
Eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
|
[
"6",
"7",
"12",
"16",
"24"
] |
Number of ways First-place medal can be awarded to four contestants = 8
Number of ways Second-place medal can be awarded to contestants after awarding First-place medal =3
Therefore number of possibilities = 8 *3 =24
Answer:E
The answer is: E
|
E
|
mathematics
|
What is the median from the below series
5, 8, 11, 6, 10, 4, 18, 16, 13, 12 and 14
|
[
"11",
"5",
"12",
"13",
"10"
] |
Ordering the data from least to greatest, we get:
4, 5, 6, 8, 10, 11, 12, 13, 14, 16, 18
The median number was 11. (Five numbers were higher than 11 and five were lower.)
A
The answer is: A
|
A
|
mathematics
|
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
|
[
"30",
"840",
"240",
"480",
"960"
] |
Total # of outfits = 12 * 10 * 7 = 840
Answer - B
The answer is: B
|
B
|
mathematics
|
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 4 seconds. What is the length of the fast train?
|
[
"23 m",
"22 (2/9)m",
"27 (7/9)m",
"29 m",
"28 m"
] |
Relative speed = (40 - 20) km/hr = (20 x(5/18))m/sec = (50/9)m/sec.
Therefore Length of faster train = ((50/9) x 4) m = (200/9)m = 22 (2/9) m.
B
The answer is: B
|
B
|
mathematics
|
If the wheel is 15 cm then the number of revolutions to cover a distance of 1056 cm is?
|
[
"18",
"11.2",
"14",
"12",
"91"
] |
2 * 22/7 * 15 * x = 1056 => x
= 11.2
Answer: B
The answer is: B
|
B
|
mathematics
|
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
|
[
"19:1",
"19:4",
"19:8",
"19:5",
"19:2"
] |
Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/2 = 19/4 = 4.75 litres
As 6 litres of mixture is formed, ratio of alcohol and water in the mixture formed
= 4.75 : 1.25 = 19:5.
Answer: D
The answer is: D
|
D
|
mathematics
|
How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
|
[
"26",
"50",
"1000",
"100",
"90"
] |
1 million distinct 3 digit initials are needed.
Let the number of required alphabets in the language be ‘n’.
Therefore, using ‘n’ alphabets we can form n * n * n = n3 distinct 3 digit initials.
Note distinct initials is different from initials where the digits are different.
For instance, AAA and BBB are acceptable combinations in the case of distinct initials while they are not permitted when the digits of the initials need to be different.
This n3 different initials = 1 million
i.e. n3 = 106 (1 million = 106)
=> n3 = (102)3 => n = 102 = 100
Hence, the language needs to have a minimum of 100 alphabets to achieve the objective.
ANSWER D
The answer is: D
|
D
|
mathematics
|
Caleb and Kyle built completed the construction of a shed in 10 and half days. If they were to work separately, how long will it take each for each of them to build the shed, if it will take Caleb 2 day earlier than Kyle?
|
[
"10 and 12",
"9 and 11",
"20 and 22",
"8 and 10",
"19 and 21"
] |
Work = (A)(B)/(A+B) where A and B are the individual times of each entity.
Here, we're told that (working together) the two workers would complete a job in 12 days. This means that (individually) each of them would take MORE than 10 days to do the job.
Answers E, A and C are illogical, since the individual times must both be greater than 10 days.
so we can TEST the values for Answers B and D.
Using the values for Answers B and D...
Answer B: (20)(22)/(20+22) = 440/42 = 10.5 This is a match
Final Answer:
C
The answer is: C
|
C
|
mathematics
|
If a and b are positive numbers, and a^3 + b^3 = 30, then the greatest possible value of a is between:
|
[
"0 and 3",
"3 and 4",
"4 and 5",
"5 and 7",
"7 and 9"
] |
If a = 3.1 and b is very small, then a^3 + b^3 can equal 30.
If a > 4, then a^3 + b^3 > 30.
The answer is B.
The answer is: B
|
B
|
mathematics
|
If 3x+4y=60 and 6x-4y=12, what is the product of x and y?
|
[
"80",
"54",
"54",
"72",
"12"
] |
Given 3x+4y=60 ---Eq 1
6x -4y =12 -- Eq 2
Sum both eqns we get 9X = 72 => X = 8
sum 6X in eq 2 => 48 - 4y = 12.
=> Y = 9
Now XY = 8 * 9 = 72
Option D is correct answer.
The answer is: D
|
D
|
mathematics
|
When x is divided by y, the quotient is z with remainder s. Which of the following is equal to s?
|
[
"yz – x",
"y/x−z",
"x – y – z",
"x – yz",
"zx – y"
] |
(x/y)=z(+s)
(18/8)=2(+2)
x-yz
which is 18-(8*2)=2
Answer is D
The answer is: D
|
D
|
mathematics
|
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
|
[
"27/7 sec",
"20/7 sec",
"33/7 sec",
"21/7 sec",
"32/7 sec"
] |
B
20/7 sec
They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 100/35 = 20/7 sec.
The answer is: B
|
B
|
mathematics
|
An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
|
[
"Rs. 60",
"Rs. 69",
"Rs. 72",
"Rs. 89",
"Rs. 92"
] |
Let CP = Rs. 100x
SP = Rs. 120x
MP = 120x/80 * 100 = Rs. 150x
D = Rs. 150x - Rs. 120x = Rs. 30x
D - P = 30x - 20x = Rs. 6, 10x = Rs. 6
120x = 120/10 * 6 = Rs. 72
C
The answer is: C
|
C
|
mathematics
|
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
|
[
"8000",
"8877",
"2877",
"2678",
"1011"
] |
8820 ---- 441
100 ---- ? => 5%
x *105/100 * 105/100 = 8820
x*1.1025=8820
x=8820/1.1025 => 8000
Answer: A
The answer is: A
|
A
|
mathematics
|
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 600 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 2 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
|
[
"20",
"40",
"60",
"50",
"100"
] |
Say, if speed is 50, 600/50 = 12 hrs and 600/60 = 10 hrs (a reduction of 2 hr -> Correct answer)
Answer (D)
The answer is: D
|
D
|
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