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mathematics
|
If y = 2 + 2K and y≠0y≠0, then 5/y + 3/y + 1/y + 1/y = ?
|
[
"1/(8+8k)",
"5/(1+k)",
"1/(8+k)",
"4/(8+k)",
"4/(1+k)"
] |
5/Y + 3/Y + 1/Y + 1/Y
= 10/Y
= 10/(2 + 2K)
= 5/(1 + K)
ANSWER:B
The answer is: B
|
B
|
mathematics
|
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
|
[
"42 6/8%",
"42 8/7%",
"48 6/7%",
"42 6/7%",
"12 6/7%"
] |
SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer:D
The answer is: D
|
D
|
mathematics
|
Richard will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
|
[
"5",
"6",
"9",
"24",
"26"
] |
Richard will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row.person with max height is in the second row, person with min height is in the first row. We need to select 1 person in the middle of each row... In the middle of the first row we can put only 2, 3 or 4. In the middle of the second row we can put only 3, 4, 5. If we select {3 in the sec. row, 2 in the first}, {4,2}, {5,2}, {4,3}, {5,3}, {5,4}. So, there are 0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1 = 5 cases...A
The answer is: A
|
A
|
mathematics
|
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
|
[
"7",
"8",
"6",
"9",
"5"
] |
1/10 + 1/15 - 1/x = 1/18
x = 9
Answer: D
The answer is: D
|
D
|
mathematics
|
A certain restaurant offers 3 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
|
[
"8",
"12",
"15",
"21",
"9"
] |
As dessert platter should contain equal number of kinds of cheese and fruits, desert can contain:
A. 2 kinds of cheese and 2 kinds of fruits --> 3C2*2C2=3*1=3
B. 1 kind of cheese and 1 kind of fruit --> 3C1*2C1=3*2=6
A+B=3+6=9
Answer: E.
The answer is: E
|
E
|
mathematics
|
The number of new words that can be formed by rearranging the letters of the word 'LIVE' is
|
[
"28",
"32",
"50",
"32",
"23"
] |
Explanation:
Number of words which can be formed = 4! - 1 = 24 - 1 = 23.
Answer: E
The answer is: E
|
E
|
mathematics
|
The probability of rain showers in Barcelona on any given day is 0.6. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
|
[
"0.144",
"0.072",
"0.432",
"0.72",
"0.288"
] |
IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!
Hence,
0.6*0.4*0.4 + 0.4*0.6*0.4+ 0.4*0.4*0.6 = 0.288
Option - E
The answer is: E
|
E
|
mathematics
|
With # andeach representing different digits in the problem below, the difference between #and ## is 534. What is the value of?
#
-##
____
534
|
[
"7",
"8",
"9",
"6",
"10"
] |
100x
-(10x +x)
-----------
89 x= 534
x = 6
D
The answer is: D
|
D
|
mathematics
|
The difference between the length and breadth of a rectangle is 30 m. If its perimeter is 240 m, then its area is:
|
[
"1520 m2",
"2420 m2",
"3375 m2",
"2520 m2",
"None"
] |
EXPLANATION
We have: (l – b) = 30 and 2(l + b) = 240 or (l + b) = 120.
Solving the two equations, we get: l = 75 and b = 45.
Area = (l x b) = (75x 45) m2 = 3375 m2.
Answer C
The answer is: C
|
C
|
mathematics
|
If -2<= x <= 2 and 3 <= y <= 10, which of the following represents the range of all possible values of y-x?
|
[
"5 <= y-x <= 6",
"1 <= y-x <= 12",
"1 <= y-x <= 6",
"5 <= y-x <= 10",
"1 <= y-x <= 10"
] |
Maximum value of y-x= 10 - (-2)= 12
Minimum value of y-x= 3-2= 1
B mentions the correct range
The answer is: B
|
B
|
mathematics
|
If x + y = 8 and y − 3x = 7, then what is the value of y-x?
|
[
"1/7",
"3",
"15",
"15/2",
"60/7"
] |
x+y=8 ...equation 1
-3x+y=7 ...equation 2
adding both the equations
-2x+2y=15=>y-x=15/2
correct answer option D
The answer is: D
|
D
|
mathematics
|
Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
|
[
"72.9",
"62.2",
"14.2",
"13.7",
"14.5"
] |
Let the present ages of Mahesh, Nilesh and Ramesh be m, n and r respectively.
m/n = 5/x ------ (1)
m = r - 18 ------ (2)
r + 9 = 47 ------ (3)
m - n = r ----- (4)
(3) => r = 47 - 9 = 38 years
(2) => m = 38 -18 = 20 years
(1) => 20/n = 5/x => n = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5
Answer:E
The answer is: E
|
E
|
mathematics
|
A school has received 50% 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?
|
[
"$400",
"$177.78",
"$320",
"$277",
"$200"
] |
Let us suppose there are 100 people. 40% of them donated $16000 ( 400 * 40 )
$16000 is 50% of total amount.
So total amount = 16000 * 100/50
Remaining amount is 50% of total amount.
50% of total amount = 16000 * (100/50) * (50/100) =16000
This amount has to be divided by 50 ( remaining people are 50 )
So per head amount is 16000 / 50 = 320
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A can do a half of certain work in 60 days and B one third of the same in 35 days. They together will do the whole work in.
|
[
"56 days",
"420 days",
"46 days",
"560 days",
"96 days"
] |
A = 120 days
B = 105 days
1/120 + 1/105 = 45/2520 = 1/56
=>56 days
ANSWER:A
The answer is: A
|
A
|
mathematics
|
In how many ways 4 boys and 3 girls can be seated in a row so that they are alternative?
|
[
"120",
"144",
"160",
"210",
"180"
] |
4 boys can be seated in 4!
three girls can be seated in 3!
Required number = 4!3! = 144
Answer is B
The answer is: B
|
B
|
mathematics
|
A father was as old as his son's present at the time of your birth. If the father's age is 40 years now, the son's age 5years back was?
|
[
"10 years",
"12 years",
"14 years",
"16 years",
"15 years"
] |
Let the son's present age be x years. Then, (40 - x) = x
2x = 40.
x = 20.
Son's age 5 years back (20 - 5) = 15 years.
E
The answer is: E
|
E
|
mathematics
|
Tomy's age 18 years hence will be thrice his age four years ago. Find Tomy's present age?
|
[
"12 years",
"13 years",
"15 years",
"17 years",
"18 years"
] |
Let MTomy's present age be 'x' years.
x+ 18 = 3(x- 4)
=> 2x = 30 => x = 15 years.
C
The answer is: C
|
C
|
mathematics
|
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
|
[
"12",
"14",
"18",
"20",
"22"
] |
a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 - 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)2 - 2(4)]/4 = 56/4 = 14.
B)
The answer is: B
|
B
|
mathematics
|
Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
|
[
"Rs.21.60",
"Rs.21.69",
"Rs.21.87",
"Rs.21.68",
"Rs.21.19"
] |
Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.6,000
He lend the same amount for C.I at 6% p.a. for two years.
=> Siddharth's income = C.I - S.I
= p[1 + r/ 100]n - p - pnr/100
= p{ [1 + r/ 100]2 - 1 - nr/100
= 6,000{ [1 + 6/100]2 - 1 - 12/100}
= 6,000 {(1.06)2- 1 - 0.12} = 6,000(1.1236 - 1 - 0.12)
= 6,000 (0.0036) = 6 * 3.6 =Rs.21.60
Answer:A
The answer is: A
|
A
|
mathematics
|
What day of the week does May 28 2006 fall on
|
[
"Saturday",
"Monday",
"Sunday",
"Thursday",
"Friday"
] |
Explanation:
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2005
= 4 normal years + 1 leap year
= 4 x 1 + 1 x 2 = 6
Days from 1-Jan-2006 to 28-May-2006 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 28(may)
= 148
148 days = 21 weeks + 1 day = 1 odd day
Total number of odd days = (0 + 6 + 1) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence May 28 2006 is Sunday.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
|
[
"200",
"250",
"300",
"400",
"500"
] |
Let z = 120% of z = 550
z+120/100z=550
11/5z=550
z=250
ANSWER B
The answer is: B
|
B
|
mathematics
|
Find the simple interest on Rs.520 for 7 months at 8 paisa per month?
|
[
"277",
"270",
"291",
"266",
"121"
] |
I = (520*7*8)/100 = 291
Answer: C
The answer is: C
|
C
|
mathematics
|
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
|
[
"6 2/3 days.",
"2 2/3 days.",
"7 2/3 days.",
"1 2/3 days.",
"5 2/3 days."
] |
B
2 2/3 days.
Work done by all three of them in one day = 1/6 + 1/8 + 1/12 = 3/8.
The number of days required = 8/3 = 2 2/3 days.
The answer is: B
|
B
|
mathematics
|
A person borrows 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4 % p.a. for 2 years. Find his gain in the transaction per year.
|
[
"112.50",
"125",
"150",
"167.5",
"None of these"
] |
Gain in 2 years
= [(5000×25/4×2/100)−(5000×4×2/100)]
= (625 – 400) = 225.
∴ Gain in 1 year = (225⁄2) = 112.50
Answer A
The answer is: A
|
A
|
mathematics
|
A cistern of capacity 40 litres has an inlet and an outlet pipe. When both the pipes are opened at once, it takes 8 minutes to fill the cistern. However, if the outflow rate is increased 1.5 times, the cistern never gets filled. Which of the following can be the outflow rate?
|
[
"8 litres/minute",
"6 litres/minute",
"12 litres/minute",
"9 litres/minute",
"10 litres/minute"
] |
DETAILED SOLUTION
Initially, net flow in the tank = 40 litres/ 8 minutes = 5 litres/minute
Now, the increase in outflow should be greater than 5 litres/min for the tank to fill up
Increase in outflow = 1.5x – x = 0.5x
Only in option c) 0.5 X 12 = 6 litres/min > 5 litres/min
CORRECT ANSWER C
The answer is: C
|
C
|
mathematics
|
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 4. If X invested Rs.40,000. the amount invested by Y is
|
[
"Rs.45,000",
"Rs.50,000",
"Rs.60,000",
"Rs.80,000",
"None"
] |
Solution
Suppose Y invested Rs.y
Then, 40000 /y = 2 / 4
‹=› y=(40000×4 / 2).
‹=› y=80000.
Answer D
The answer is: D
|
D
|
mathematics
|
Mary's income is 50 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
|
[
"124%",
"120%",
"96%",
"90%",
"64%"
] |
Juan's income = 100 (assume);
Tim's income = 60 (40 percent less than Juan's income);
Mary's income = 90 (50 percent more than Tim's income).
Thus, Mary's income (90) is 90% of Juan's income (100).
Answer: D.
The answer is: D
|
D
|
mathematics
|
What is the dividend. divisor 17, the quotient is 8 and the remainder is 5
|
[
"A)145",
"B)141",
"C)150",
"D)153",
"E)158"
] |
D = d * Q + R
D = 17 * 8 + 5
D = 136 + 5
D = 141
Answer : B
The answer is: B
|
B
|
mathematics
|
During one year, the population of town increased by 5% . If the total population is 9975 at the end of the second year , then what was the population size in the beginning of the first year ?
|
[
"12500",
"7500",
"5000",
"20000",
"10000"
] |
Population in the beginning of the first year
= 9975/[1+(5/100)]*[1-(5/100)] = [9975*(20/21)*(20/19)]=10000.
Answer is E.
The answer is: E
|
E
|
mathematics
|
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 2/3 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
|
[
"4/15",
"3/40",
"13/40",
"7/20",
"13/22"
] |
P(1 and not 2)=2/3*(1-3/5)=4/15.
Answer: A.
The answer is: A
|
A
|
mathematics
|
At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yellin grock on!, what are the chances that the next person who yells rock on!will be a freak?
|
[
"1",
"1/2",
"1/3",
"1/4",
"1/6"
] |
Another approach is toassign some nice valuesfor the number of freaks, nerds and geeks.
Given: the ratio of freaks to nerds to geeks is 1:2:3
So, let's say there is: 1 freak, 2 nerds and3geeks for a TOTAL of6people.
P(next person who yells rock on!is a freak) = (# of freaks in the crowd)/(TOTAL # of people in the crowd)
=1/6
= 1/6
Answer:
E
The answer is: E
|
E
|
mathematics
|
In a sports club with 28 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
|
[
"7",
"8",
"9",
"10",
"11"
] |
Let x play both badminton and tennis so 17-x play only badminton and 19-x play only tennis. 2 play none and there are total 30 students. hence,
(17-x)+(19-x)+x+2=28
38-2x+x=28
38-x=28
x=10
So 8 members play both badminton and tennis.
D
The answer is: D
|
D
|
mathematics
|
200,190,180,....,160,150,140
Insert the missing number
|
[
"155",
"156",
"157",
"170",
"158"
] |
Missing number : 170
Answer : D
The answer is: D
|
D
|
mathematics
|
If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
|
[
"2377",
"1000",
"2778",
"766",
"18811"
] |
Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.
Then, 2x + 3y = 3500 ...(i)
and 3x + 2y = 4000 .....(ii)
solving (i) and (ii) we get x = 1000, y = 500
Answer: B) 1000
The answer is: B
|
B
|
mathematics
|
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
|
[
"1:2",
"2:1",
"3:2",
"2:3",
"5:3"
] |
Ratio in which they should share the profit
= Ratio of the investments multiplied by the time period
=45000×12:30000×9
=45×12:30×9
=3×12:2×9
=2:1
Answer is B.
The answer is: B
|
B
|
mathematics
|
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?
|
[
"5 kmph",
"4.95 kmph",
"4.75 kmph",
"4.65",
"None of these"
] |
Explanation :
Speed downstream = 22/4 = 5.5 kmph
Speed upstream = 22/5 = 4.4 kmph
Speed of the boat in still water = (5.5 + 4.4)/2 = 4.95 kmph. Answer : Option B
The answer is: B
|
B
|
mathematics
|
Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 3 miles, and then ran 3 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
|
[
"1 ≤ n ≤23",
"3 ≤ n ≤21",
"5 ≤ n ≤19",
"6 ≤ n ≤18",
"9 ≤ n ≤15"
] |
ANSWER: C To find the maximum and minimum range for his distance from home, assume that he traveled either directly toward his home or directly away from his home. The range then is between 12+6-3+3=18 for the maximum, and 12-6+3-3=6 for the minimum, so D is the answer
The answer is: D
|
D
|
mathematics
|
An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. How many steps are visible when the escalator is not operating?
|
[
"80",
"90",
"100",
"110",
"120"
] |
Lets suppose that A walks down 1 step / min and
escalator moves n steps/ min
It is given that A takes 50 steps to reach the bottom
In the same time escalator would have covered 50n steps
So total steps on escalator is 50+50n.
Again it is given that B takes 90 steps to reach the bottom and time
taken by him for this is equal to time taken by A to cover 10 steps i.e
10 minutes. So in this 10 min escalator would have covered 10n steps.
So total steps on escalatro is 90 + 10n
Again equating 50 + 50n = 90 +10n we get n = 1
Hence total no. of steps on escalator is 100.
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If the cost price of 22 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
|
[
"20% loss",
"37.5 % profit",
"37.5 % loss",
"30.33% loss",
"None of these"
] |
Explanation :
Let Cost price of 1 article be Re.1.
Therefore, Cost price of 22 articles = Rs. 22.
Selling price of 16 articles = Rs. 22
Therefore, Selling price of 22 articles is :-
=>22/16×22
=>30.25.
Therefore, Profit = Selling price - Cost price.
=>30.25−22=8.25
Hence, the percentage of profit = profit x 100/C.P.
=>8.25/22×100.
=>37.5% Profit.
Answer : B
The answer is: B
|
B
|
mathematics
|
How many positive integers less than 25 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
|
[
"27",
"25",
"24",
"22",
"20"
] |
9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}
2 odd multiples of 5: {5, 15}
10 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 9+2+10-1=20.
Answer: E.
The answer is: E
|
E
|
mathematics
|
Solve the equation for time, "t" : 9(t + m) + 1 = 9(-t + m) + 19
|
[
"1",
"-1",
"2",
"-2",
"3"
] |
A
1
9(t + m) + 1 = 9(-t + m) + 19
9t + 9m +1 = -9t + 9m + 19
18t = 18
t = 1
The answer is: A
|
A
|
mathematics
|
Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
|
[
"20 hrs",
"22 hrs",
"23 hrs",
"24 hrs",
"21 hrs"
] |
1/( 1/36 +1/45) = 180/9 = 20 hrs
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 5
II. 1
III. -4
|
[
"I only",
"II only",
"I and II only",
"II and III only",
"I, II, and III"
] |
The question is which of the following must be in the set, not could be in the set.
If -1 is in the set so must be -1+2=1, as 1 is in the set so must be 1+2=3, as 3 is in the set so must be 3+2=5 and so on. So basically knowing that -1 is in the set we can say that ALL odd numbers more than -1 are also in the set.
Answer: C.
The answer is: C
|
C
|
mathematics
|
The perimeters of two squares are 44 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .
|
[
"22 cm",
"24 cm",
"26 cm",
"30 cm",
"29 cm"
] |
Explanation:
We know perimeter of square = 4(side)
So Side of first square = 44/4 = 11 cm
Side of second square = 32/4 = 8 cm
Area of third Square = 11*11 - 8*8
= 57 cm
So side of third square = 7.5 [because area of square = side*side]
Perimeter = 4*Side = 4*7.5 = 30 cm
Answer: Option D
The answer is: D
|
D
|
mathematics
|
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
|
[
"3600",
"3607",
"3606",
"3655",
"3622"
] |
X * (90/100) * (80/100) * (75/100) = 1944
X * 0.9 * 0.8 * 0.75
X = 1944/0.54
X = 3600
Answer: A
The answer is: A
|
A
|
mathematics
|
A crew is made up of 8 men; the rest are women. 66+2/3% of
the crew are men. How many people are in the crew?
|
[
"11",
"12",
"13",
"14",
"15"
] |
62+2/3/100=8/x
Multiply the opposites:
100 x 8 = 800
Divide by the remaining number:
800'/'66+2/3=800/1'/'200/3
-(800)/1*3/-(200)
erasing 800=4
erasing 200=1
we have
12/1
=12
correct answer B
The answer is: B
|
B
|
mathematics
|
If it is assumed that 50 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
|
[
"400",
"420",
"480",
"500",
"600"
] |
Minimum no of mail to be sent for getting 300 responses at 50%
= 300/0.5 = 600
Option E
The answer is: E
|
E
|
mathematics
|
Car A runs at the speed of 52km/hr & reaches its destination in 10hr. Car B runs at the speed of 46 km/h & reaches its destination in 8h. What is the respective ratio of distances covered by Car A & Car B?
|
[
"62:25",
"66:52",
"68:15",
"65:41",
"23:59"
] |
Sol. Distance travelled by Car A = 52 × 10 = 520 km
Distance travelled by Car B = 46 × 8 = 368 km
Ratio = 520/368 = 65:41
D
The answer is: D
|
D
|
mathematics
|
A book was sold for Rs 27.50 with a profit of 10%. if it were sold for Rs25.75, then what would be % of profit or loss?
|
[
"Profit 5%",
"Loss 5%",
"Profit 3%",
"Loss 3%",
"Profit 4%"
] |
SP=Rs 27.50: profit =10%.
CP=Rs {(100/110)*27.50}=Rs 25.
When sp =Rs 25.75 ,profit =Rs(25.75-25)=Rs 0.75
Profit%={(0.75/25)*100}%=25/6%=3%
Answer is C.
The answer is: C
|
C
|
mathematics
|
The manufacturing cost of a shoe is Rs.230 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains
|
[
"s 282",
"s 216",
"s 220",
"s 210",
"s 217"
] |
Explanation :
Total cost of a watch = 230 + (500/100) = 235.
Gain = 20% => SP = 1.2CP = 1.2 X 235 = 282
Answer : A
The answer is: A
|
A
|
mathematics
|
There are 600 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
|
[
"265",
"276",
"375",
"387",
"390"
] |
In order to obtain a ratio of boys to girls equal to 3:5, the number of boys has to be written as 3 x and the number of girls as 5 x where x is a common factor to the number of girls and the number of boys. The total number of boys and girls is 600. Hence
3x + 5x = 600
Solve for x
8x = 600
x = 75
Number of boys
3x = 3 × 75 = 225
Number of girls
5x = 5 × 75 = 375
C
The answer is: C
|
C
|
mathematics
|
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of six metres is left from all sides of the boundary of the garden. What is the length of the garden?
|
[
"32",
"34",
"26",
"28",
"30"
] |
Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 6 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 × 2) + 6 + 6 = 34 meter
Answer is B.
The answer is: B
|
B
|
mathematics
|
1, 8, 27, 64, 125, ?
|
[
"216",
"205",
"200",
"250",
"180"
] |
The sequence is a series of cubes, 1, 8, 27, 64, 125, 216....
Answer : A.
The answer is: A
|
A
|
mathematics
|
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
|
[
"1.2",
"1.9",
"1.7",
"1.5",
"1.1"
] |
M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer: D
The answer is: D
|
D
|
mathematics
|
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,000, how much money did investors B and C earn in total?
|
[
"$4,000",
"$6,000",
"$5,600",
"$9,500",
"$10,500"
] |
Let profit for A = 5x
profit for B = 7x
profit for C = 8x
Investor A earned = 2000
5x = 2000=>x=400
Total profit for B and C = 7x+ 8x = 15x
Therefore , 15x = 15*400= 6,000
Answer B
The answer is: B
|
B
|
mathematics
|
Find the mode of the given set of number
2, 2, 3, 5, 4, 3, 2, 3, 3, 5
|
[
"1",
"2",
"3",
"4",
"5"
] |
Arranging the number with same values together, we get
2, 2, 2, 3, 3, 3, 3, 4, 5, 5
We observe that 3 occurs maximum number of times, i.e., four.
Therefore, mode of this data is 3. ANSWER :C
The answer is: C
|
C
|
mathematics
|
In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 7.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
|
[
"68.8",
"73.6",
"75.2",
"76.16",
"81.6"
] |
Degree of difficulty of dive = 3.2
Scores are 6.0 , 7.5 , 8.0 , 8.5 and 9.0
We can drop 6.0 and 9.0
Sum of the remaining scores = (7.5+7.8+8.5)= 23.8
Point of value of the dive = 23.8*3.2 =76.16
Answer D
The answer is: D
|
D
|
mathematics
|
If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGF
|
[
"13 - 11 - 9 - 7 - 9",
"13 - 11 - 9 - 7 - 6",
"13 - 11 - 9 - 7 - 7",
"13 - 11 - 9 - 7 - 3",
"13 - 11 - 9 - 7 - 1"
] |
MKIGF = 13 - 11 - 9 - 7 - 6
Note: this is a dummy question. Dont answer these questions
Answer:B
The answer is: B
|
B
|
mathematics
|
In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
|
[
"V and U",
"V and T",
"U and S",
"T and S",
"T and U"
] |
T and S should serve on A
ANSWER:D
The answer is: D
|
D
|
mathematics
|
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 50,000 after completion of one year. What will be Madhu's share of profit?
|
[
"Rs. 27,000",
"Rs. 24,000",
"Rs. 25,000",
"Rs. 36,000",
"None of these"
] |
30,000 *12=45,000*8
1:1
Madhu's share=1/2*50,000
i.e. Rs. 25,000
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If an object travels at ten feet per second, how many feet does it travel in one hour?
|
[
"34880",
"37780",
"36000",
"18000",
"28810"
] |
Explanation:
If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour.
Answer = 36000
Answer: C) 36000
The answer is: C
|
C
|
mathematics
|
If E is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of E?
|
[
"10",
"12",
"14",
"16",
"18"
] |
E = 30!
8
E = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3
3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3
So we have a total of 14 three's ...
Therefore the maximum value of K can be 14 (C)
The answer is: C
|
C
|
mathematics
|
A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
|
[
"178 m",
"240 m",
"120 m",
"168 m",
"178 m"
] |
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 12
= 240 m.
Answer: B
The answer is: B
|
B
|
mathematics
|
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
|
[
"W = 35 and L = 31",
"W = 15 and L = 20",
"W = 25 and L = 42",
"W = 27 and L = 37",
"W = 42 and L = 13"
] |
L * W = 300 : area , L is the length and W is the width.
2 L + 2 W = 70 : perimeter
L = 35 - w : solve for L
(35 - W) * W = 300 : substitute in the area equation
W = 15 and L = 20 : solve for W and find L using L = 35 - w.
correct answer B
The answer is: B
|
B
|
mathematics
|
How many odd three-digit integers greater than 300 are there such that all their digits are different?
|
[
"40",
"156",
"172",
"181",
"240"
] |
6 (hundred's digit) * 9 (ten's digit) * 8 (unit's digit) = 432
Now take numbers in the range 300 - 900.
Total numbers where all digits are different = 432 (as before)
[highlight]Number of odd numbers = 6 * 8 * 5 = 240[/highlight] (now there are 5 possibilities for the unit's digit)
E
The answer is: E
|
E
|
mathematics
|
A rectangular with dimensions 40 inches by 65 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
|
[
"a) 4 inches",
"b) 6 inches",
"c) 7 inches",
"d) 5 inches",
"e) 10 inches"
] |
you need to divide the width and length of the rectangular to equal pieces where L = W
you can solve this using GCF
40=2*2*2*5
65=5*13
GCF = 5
P.S you can make squares with side of 5
Answer : D
The answer is: D
|
D
|
mathematics
|
Given that A and B are events such that
H(A)= 0.03
H(B)=0.18
H(AnB)=0.18
find H (A|B) and H(A|B)
|
[
"1/7",
"1/5",
"1/3",
"1/2",
"1/6"
] |
Here, A and B are events
H(A|B) = H(AnB)/H(B) = 0.18/0.18 = 1
H(A|B) = H(AnB)/H(A) = 0.18/0.03 = 1/6.
Answer is E
The answer is: E
|
E
|
mathematics
|
The simple interest at x% for x years will be $x on a sum of
|
[
"$ (1000)/x",
"$(100)x^2",
"$ x",
"$ (100)/x",
"$ 100x"
] |
Principal =$(100*x)/(x*x)=$(100/x).
Answer is D
The answer is: D
|
D
|
mathematics
|
What is the diffference between the place value and face value of 2 in the numeral 6328?
|
[
"10",
"12",
"14",
"16",
"18"
] |
place value of 2 = 2 * 10 = 20
face value of 2 = 2
20 - 2 = 18
E
The answer is: E
|
E
|
mathematics
|
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of B is?
|
[
"12000",
"24000",
"24005",
"24009",
"24002"
] |
Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6
Total profit = Rs. 26000
Share of B = 6/13 (26000) = Rs. 12000
Answer: A
The answer is: A
|
A
|
mathematics
|
A car gets 20 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 130 kilometers?
|
[
"8.5 gallons",
"7.5 gallons",
"6.5 gallons",
"5.5 gallons",
"4.5 gallons"
] |
Each 20 kilometers, 1 gallon is needed. We need to know how many 20 kilometers are there in 130 kilometers?
130 / 20 = 6.5 * 1 gallon = 6.5 gallons correct answer C
The answer is: C
|
C
|
mathematics
|
A zinc-copper alloy with 2 kg of pure zinc would contain 90% of zinc. The alloy with 1 kg of 90% zinc alloy contains 84% of zinc. Calculate the weight and percentage of zinc in the zinc-copper alloy.
|
[
"2.4 kg or 80%",
"1.4 kg or 88%",
"1.9 kg or 94.2%",
"7.4 kg or 18%",
"1.4 kg or 60%"
] |
Right Answer Explanation:
x : 2
y : 100
90
10 : 90 – y
(90-y)/2 = 10/x = ………..(1)
In the second case,
x 1
y 90
84
6 84-y
Therefore (84-y)/1 = 6/x ………..(2)
Dividing (1) and (2)
=
180 – 3y =840 – 10y
7y = 660
y = 94.2
x = 20/(90-80) = 20/10 = 2 kg
Quantity of zinc in x = 94.2% of x
= 0.942 2
=1.9 kg
Weight and percentage of zinc is 1.9 kg or 94.2%
C
The answer is: C
|
C
|
mathematics
|
If xy not equal 0 and x^2*y^2 -xy =30, which of the following could be y in terms of x?
I. 1/2x
II. -6/x
III. 5/x
|
[
"I &II",
"II",
"II and III",
"IV",
"III"
] |
x2y2 - xy = 30
x2y2-xy-30 = 0
(xy-5)(xy+6)=0
xy = 5 or xy=-6
y = 5/x or y = -6/x
II and III only
C
The answer is: C
|
C
|
mathematics
|
A worker makes a toy in every 2h. If he works for 80h, then how many toys will he make ?
|
[
"40",
"54",
"45",
"39",
"None"
] |
Answer
Let number of toys be N.
More hours, More toys (Direct proportion)
2 : 80 : : 1 : N
⇒ N = 80/2 = 40 toys
Correct Option: A
The answer is: A
|
A
|
mathematics
|
Ratio of present age of P and Q is 7 : 3. After four years their ages are in the ratio of 2 : 1. What is the present age of P ?
|
[
"24 years",
"28 years",
"32 years",
"Data inadequate",
"None of these"
] |
P⁄Q = 7⁄3 ⇒ Q = 3⁄7P.....(i)
also,2Q + 8 = P + 4
or, 2Q – P = – 4...(ii)
Combining equations (i) and (ii), we get
P = 28 years
Answer B
The answer is: B
|
B
|
mathematics
|
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 30% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
|
[
"$20",
"$40",
"$50",
"$70",
"$100"
] |
Deargoodyear2013,
I'm happy to help.This is a relatively straightforward problem, not very challenging. BTW,Crazy Eddiewas the actually name of an electronics chain on the East Coast of the USA back in the 1970s.
Manufacturing now is $50. They now are making a 50% profit, so the selling price must be $100.
They had this same selling price, $100, before they made the change, and had a profit of 30%, so the manufacturing must have been $70. Answer = (D).
The answer is: D
|
D
|
mathematics
|
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
|
[
"816 m",
"577 m",
"240 m",
"176 m",
"126 m"
] |
Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer:C
The answer is: C
|
C
|
mathematics
|
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 40 meters deep by working for 6 hours?
|
[
"75",
"80",
"50",
"35",
"40"
] |
45 workers * 8 hours / 30 meters = x * 6 / 40
x = 80 total workers
80 - 45 = 35
The answer is D.
The answer is: D
|
D
|
mathematics
|
A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?
|
[
"223",
"186",
"287",
"167",
"171"
] |
Explanation:
When at least 2 women are included.
The committee may consist of 3 women, 2 men : It can be done in\inline \fn_jvn {\color{Black} 4C_{3}\times 6C_{2}} ways
or, 4 women, 1 man : It can be done in \inline \fn_jvn {\color{Black} 4C_{4}\times 6C_{1}} ways
or, 2 women, 3 men : It can be done in \inline \fn_jvn {\color{Black} 4C_{2}\times 6C_{3}} ways.
Total number of ways of forming the committees
= \inline \fn_jvn {\color{Black} 4C_{2}\times 6C_{3}+4C_{3}\times 6C_{2}+4C_{4}\times 6C_{1}}
= 6 x 20 + 4 x 15 + 1x 6
= 120 + 60 + 6 =186
Answer: B) 186
The answer is: B
|
B
|
mathematics
|
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
|
[
"Rs.140",
"Rs.120",
"Rs.130",
"Rs.110",
"None of these."
] |
When compounded annually, interest
= 12000[1 + 20/100]1 - 12000 = Rs.2400
When compounded semi-annually, interest
= 12000[1 + 10/100]2 - 12000 = Rs.2520
Required difference = 2520 - 2400 = Rs.120
ANSWER:B
The answer is: B
|
B
|
mathematics
|
P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?
|
[
"2",
"3",
"4",
"5",
"6"
] |
Work done by P in 1 day = 1/18
Work done by Q in 1 day = 1/15
Work done by Q in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which P can finish the remaining work = (1/3) / (1/18) = 6
Answer is E.
The answer is: E
|
E
|
mathematics
|
If a certain computer is capable of printing 4700 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6800 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?
|
[
"19 mins",
"29 mins",
"39 mins",
"38 mins",
"37 mins"
] |
old model's 1 hr work = 4700
new model's 1 hr work = 6800
old model' time taken to print 10000 cards
for 1 hr -- 4700 cards
x -- 10000
x= 10000/4700 = 100/47
new model' time taken to print 10000 cards
for 1 hr -- 6800 cards
y -- 10000
y= 10000/6800 = 100/68
x= 10000/4700 = 100/47 = 2 6/47 hr
Difference is
100/47 - 100/68 = 6800 - 4700 /(47*68)
2100/3196 = 0.66 hrs => 39minutes
Old model ll take 39 minutes longer to print 10000 cards than new model
Ans : 39 mins
ANSWER:C
The answer is: C
|
C
|
mathematics
|
In a 1400 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
|
[
"100 sec.",
"70 sec",
"25 sec",
"Data not sufficient",
"None of these"
] |
Speed of Shiny = 50/ 10 = 5m/s
Time taken by shiny to complete the race is B = 1400/5 = 280 sec.
Time taken by Baley to complete the race is D = 1400/4 = 350 sec.
Hence, D-B = 70 sec
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches?
|
[
"25",
"43",
"42",
"40",
"18"
] |
Area of Carol's rectangle = 24*5 = 120
Let width of Jordan's rectangle= w
Since , the areas are equal
3w = 120
=>w = 40
Answer D
The answer is: D
|
D
|
mathematics
|
The ratio of red boxes to blue boxes in a certain warehouse is 10 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
|
[
"37",
"74",
"70",
"148",
"244"
] |
Ratio = R/B = 10/25 or R = 10/25 B -----------(1)
2R/B+150 = 10/25*1/2 = 1/5 or we can say that 10R=B+150 -------------(2)
solving (1) and (2) we get
B=50 and R = 20
so total boxes is B + R = 50+20=70
Hence C. 70 is the correct answer
The answer is: C
|
C
|
mathematics
|
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
|
[
"b=9,t=1",
"b=7,t=3",
"b=6,t=2",
"b=2,t=5",
"b=6,t=4"
] |
Let b be the number of bicycles and let t be the number of tricycles.
Set up the equations
b+t=10............(1)
2b+3t=21............(2)
Rearrange equation (1) and substitute into equation (2)
2b+30-3b=21
-b=-9
b=9
Calculate the number of tricycles t
t=10−b
=10−9
=1
There are 1 tricycles and 9 bicycles.
Answer is A.
The answer is: A
|
A
|
mathematics
|
What is the remainder when 4^8707 is divided by 5 ?
|
[
"0",
"1",
"2",
"3",
"4"
] |
4^0 = 1
4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256
4^5 = .....4
4^6 = .......6
And so on in a distinct last-digit pattern of 4,6,4,6... after ignoring the first last-digit of 1
8707/2 = 4353 (with a remainder of 1) So the last number is a 4.
Alternatively, 8707 is an odd number and hence the last digit is a 4
When 4^8707 is divided by 5 the remainder is 4, ANS = E
The answer is: E
|
E
|
mathematics
|
The area of a triangle is with base 3m and height 6m?
|
[
"88 m2",
"9 m2",
"66 m2",
"77 m2",
"31 m2"
] |
1/2 * 3 * 6 = 9 m2
Answer: B
The answer is: B
|
B
|
mathematics
|
The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
|
[
"9:26",
"9:24",
"9:25",
"9:20",
"9:21"
] |
a13 : a23 = 27 : 125
a1 : a2 = 3 : 5
6 a12 : 6 a22
a12 : a22
=9:25
Answer:C
The answer is: C
|
C
|
mathematics
|
Can you find the missing number in the sequence given below?
10 18 26 11 19 ? 12 20 28 13 21 29
|
[
"25",
"23",
"20",
"27",
"19"
] |
Let's break the given series as below:
10 18 26
11 19 ?
12 20 28
13 21 29
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 27
Answer : D
The answer is: D
|
D
|
mathematics
|
2056 x 987 = ?
|
[
"1936372",
"2029272",
"1896172",
"1923472",
"None of them"
] |
=2056 x 987
=2056 x (1000 - 13)
=2056 x 1000 - 2056 x 13
=2056000 - 26728
=2029272
Answer is B
The answer is: B
|
B
|
mathematics
|
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
|
[
"3:4:9",
"3:4:7",
"3:4:5",
"3:4:1",
"3:4:2"
] |
A:B:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)
= 144:192:336
= 3:4:7
Answer:B
The answer is: B
|
B
|
mathematics
|
In a car wheel, ten spokes cover 60 degrees. Then for the entire car,how many spokes are there?
|
[
"120",
"140",
"240",
"320",
"340"
] |
given, 10 spokes cover 60degrees,
so for 360 degrees.---->360*10/60=60..
so, for entire car, 4*60=240
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Which of these expressions has the greatest value?
|
[
"1856721/1856725",
"1288542/1288743",
"1354321/1314325",
"1608521/1608526",
"1532156/1532159"
] |
Using elimination method on options
1354321/1314325 = 1.03043082951...
ANSWER:C
The answer is: C
|
C
|
mathematics
|
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back, how far is the place?
|
[
"144km",
"30km",
"48km",
"12km",
"15km"
] |
Speed of down stream = 10+2 = 12kmph
speed of upstream = 10-2 = 8kmph
Let the required distance be xkm
x/12 + x/8 = 30
2x+3x = 720
x = 144 km
Answer is A
The answer is: A
|
A
|
mathematics
|
A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales?
|
[
"$30000",
"$32500",
"$35120",
"$41520",
"$25460"
] |
Let his total sales be x
Total sales - commission = $31100
x - [(5% of 10000)+4% of (x-10000)] = 31100
x-500-(x-10000)/25 = 31100
x = 32500
Answer is B
The answer is: B
|
B
|
mathematics
|
Recipe requires 15mins to cook. you have 7 mins hourglass and a 11 mins hourglass with you. how will you measure 15 mins using them?
|
[
"15 mins",
"12 mins",
"13 mins",
"17 mins",
"20 mins"
] |
Correct Answer : A
Put up both hour glasses. time starts when 7 min hourglass turns empty. and 11 min hourglass will run for 4 min. now flip 11 min hour glass upside down as soon as it runs empty. it will be empty in another 11 mins. and time is up. so 4+11= 15 mins
The answer is: A
|
A
|
mathematics
|
The equation (M + )/21 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?
|
[
"P",
"P-7",
"P-8",
"P-6",
"P-5"
] |
M/21 =(P-7)/21
M = (P-7)*21/21
=(P-7)*1 = P-7
B
The answer is: B
|
B
|
mathematics
|
A movie buff buys movies on DVD and on Blu-ray in a ratio of 13:4. If she returns 2 Blu-ray movies, that ratio would change to 7:2. If she buys movies on no other medium, what was the original number of movies purchased?
|
[
"22",
"28",
"77",
"99",
"119"
] |
Now coming to the process m(D) = 13x and b(D) = 4x
now from the next line the new eqn becomes 13x/ (4x -2) = 7/2
Solving it 26x = 28x -14
x =7
which means m (d) = 91 and b(d) = 28
SO total initially is m(d) + b(d) = 119
E
The answer is: E
|
E
|
mathematics
|
The sum of five numbers is 100. The average of the first two numbers is 10 and the third number is 30. Find the average of the two numbers?
|
[
"25",
"20",
"23",
"22",
"30"
] |
Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 100
(P + Q)/2 = 10 and R = 30
P + Q = 20 and R = 30
P + Q + R = 50
S + T = 100 - (P + Q + R) = 50
Average of the last two numbers
= (S + T)/2 = 25
Answer:A
The answer is: A
|
A
|
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