subject
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mathematics
|
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $50,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?
|
[
"$24,000",
"$28,000",
"$32,000",
"$36,000",
"$40,000"
] |
The answer should be -> B. $28,000
The answer is: B
|
B
|
mathematics
|
50,48,44,?,20
|
[
"14",
"15",
"13",
"36",
"17"
] |
The Pattern is - 2, - 4, -8, ...
44-8=36
Answer :D
The answer is: D
|
D
|
mathematics
|
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
|
[
"8",
"9",
"6",
"4",
"2"
] |
Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 18 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 28 => x = 14, y = 4.
Answer:D
The answer is: D
|
D
|
mathematics
|
What is the value of: 2^6 + 2^9 ?
|
[
"5(2^6)",
"3(2^6)",
"2^15",
"2^84",
"4^15"
] |
2^6 + 2^9 = 2^6 (1 + 2^2) = 2^6 (1 + 4) = 5 (2^6), Answer A.
The answer is: A
|
A
|
mathematics
|
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
|
[
"32:45",
"32:47",
"32:45",
"32:41",
"32:42"
] |
A : B
(8000*4)+(4000*8) : (9000*6)+(6000*6)
64000 : 90000
32 : 45.Answer: A
The answer is: A
|
A
|
mathematics
|
What is the are of an equilateral triangle of side 16 cm?
|
[
"64√5",
"64√9",
"44√3",
"64√3",
"14√3"
] |
Area of an equilateral triangle = √3/4 S2
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;
Answer: D
The answer is: D
|
D
|
mathematics
|
A hall is 15m long and 12m broad.If the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls, the volume of hall is?
|
[
"1100",
"1200",
"1300",
"1400",
"1500"
] |
area of 4 wall=sum of area of floor and celling
2(l+b)*h=2(l*b)
(15+12)*h=2(12*15)
on solving h=20/3m
volume=l*b*h
=12*15*20/3
=1200m^3
ANSWER:B
The answer is: B
|
B
|
mathematics
|
How many ways could three bottle caps can be used to close five bottles of which two of the bottles will remain opened?
|
[
"8",
"12",
"60",
"118",
"120"
] |
ways in which 3 bottles out of 5 can be selected = 5C3
ways in which 3 caps can be used to close 3 bottles = 3!
Total ways of arrangement = 5C3*3!
=5*4/2*6
=10*6
=60
Ans = C
The answer is: C
|
C
|
mathematics
|
If |20x-10| = 90, then find the product of the values of x?
|
[
"-45",
"50",
"-62",
"35",
"-20"
] |
|20x-10| = 90
20x-10 = 90 or 20x-10 = -90
20x = 100 or 20x = -80
x = 5 or x = -4
product = -4*5 = -20
Answer is E
The answer is: E
|
E
|
mathematics
|
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
|
[
"18",
"19",
"71",
"16",
"17"
] |
Let the present age of the person be x years.
Then, 3(x + 3) - 3(x - 3) = x
3x + 9 - 3x + 9 = x => x = 18
Answer:A
The answer is: A
|
A
|
mathematics
|
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is
|
[
"4 days",
"6 days",
"10 days",
"16 days",
"22 days"
] |
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.
Suppose Tanya takes x days to do the work.
5 : 4 :: 20 : x x = 4 x 20/5
x = 16 days.
Hence, Tanya takes 16 days to complete the work. answer :D
The answer is: D
|
D
|
mathematics
|
How many 3-digit numerals begin with a digit that represents a prime number?
|
[
"16",
"80",
"400",
"180",
"240"
] |
prime digits 2,3,5 and 7.
three digit numbers _ _ _
1st place can be filled in 4 ways
2nd place can be filled in 10 ways
3rd place can be filled in 10 ways
Total=4*10*10=400
Ans : C
The answer is: C
|
C
|
mathematics
|
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
|
[
"45%",
"50%",
"57%",
"64%",
"78%"
] |
Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57%
C
The answer is: C
|
C
|
mathematics
|
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 75 black cars in the lot, how many red cars are there in the lot?
|
[
"11",
"28",
"24",
"29",
"32"
] |
B is correct
R/B = 3/8 and B =75
R = 75*3/8 = 28
The answer is: B
|
B
|
mathematics
|
In how many ways can 5 boys and 3 girls be seated on 7 chairs so that no two girls are together?
|
[
"5760",
"14400",
"480",
"56",
"1440"
] |
Let us take opposite of the constraint.
2 girls sitting together: :
1 case is GGBGBBBB.
Total number of ways=3!*5!*5 with just shifting the rightmost girl.
Then the 2 leftmost girls can shift one position , and using the above reasoning, the total number of ways = 3!*5!*4 and so on till the rightmost girl has 1 position.
So total number of ways = 3!*5!(5+4+3+2+1)=120*90=10800
Similarly another case is:
GBGGBBBB.
Using the above reasoning, the total number of cases is: 3!*5!*(15) =10800
Let us take 3 girls sitting together
GGGBBBBB
There are 3! *5! Ways. The 3 leftmost girls can shift 6 positions. So there are a total of 3!*5!*6=4320 ways
So total is 2*10800 + 4320=25920
The total number of possibilities = 8! Ways =40,320
Answer is 40320-25920=1440
Hence E.
The answer is: E
|
E
|
mathematics
|
In a apartment, 30% of the people speak English, 20% speak Hindi and 15% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?
|
[
"1/13",
"2/13",
"5/20",
"6/20",
"7/20"
] |
P (E) = 30 / 100 = 3 / 10 , P (H) = 20 / 100 = 1 / 5 and P (E ∩ H) = 15 / 100 =
P (E or H) = P (E U H)
= P (E) + P (H) - P (E ∩ H)
= (3 / 10) + (1 / 5) - (15 / 100) = 35/100 = 7/20
E
The answer is: E
|
E
|
mathematics
|
The product of two positive integers is 675 and their difference is 2. What is the bigger number?
|
[
"21",
"23",
"25",
"27",
"29"
] |
Let's use trial and error to find the two numbers.
25*23 = 575 (too low)
27*25 = 675
The answer is D.
The answer is: D
|
D
|
mathematics
|
By selling 22 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
|
[
"83",
"63",
"53",
"33",
"13"
] |
80% --- 22
120% --- ?
80/120 * 22 = 33
Answer:D
The answer is: D
|
D
|
mathematics
|
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
|
[
"28",
"266",
"990",
"20",
"11"
] |
Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.
Answer: D
The answer is: D
|
D
|
mathematics
|
The ratio of three numbers is 1:2:4 and the sum of their squares is 4725. The sum of the numbers is?
|
[
"A)10",
"B)12",
"C)15",
"D)14",
"E)9"
] |
Let the numbers be x,2x,4x
then, x^2+4x^2+16x^2 = 4725
21x^2 = 4725
x^2 = 225
x=15
Answer is C
The answer is: C
|
C
|
mathematics
|
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
|
[
"20/65",
"20/63",
"20/45",
"20/29",
"20/20"
] |
Required probability = (5C3 . 4C1)/9C4
= (10 * 4)/126
= 20/63
Answer:B
The answer is: B
|
B
|
mathematics
|
Assume all CDs are equal in time.
If 21 CDs have X hours of music, how many minutes will Y CDs have?
|
[
"21XY/60",
"7/60XY",
"21/60XY",
"20XY/7",
"7/20XY"
] |
21 CDs have X hours or 60*X minutes
1 CD has time = 60*X/21 = 20X/7
Y CD time in minutes = Y*20*X/7 = 20XY/7
Hence, the answer is D.
The answer is: D
|
D
|
mathematics
|
A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 6 Gallons of water and 12 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
|
[
"37.5",
"75",
"100",
"150",
"90"
] |
Nope, 150. I can only get it by following PR's backsolving explanation. I hate that.
Original mixture has 20% salt and 80% water.
Total = x
Out of which Salt = 0.2x and water = 0.8x
Now, 1/4 water evaporates and all salt remains.
So what remains is 0.2x salt and 0.6x water.
Now 12 gallons salt is added and 6 gallons of water is added.
So salt now becomes -> (0.2x + 12) and water --> (0.6x+6)
Amount of salt is 33.33% of total. So amount of water is 66.66%. So salt is half of the volume of water.
So (0.2x+12) = (0.6x+6)/2 => 0.4x+24=0.6x+6 ->0.2x=18
Solving, x = 90
Answer : E
The answer is: E
|
E
|
mathematics
|
What is the HCF of 2/3, 4/10 and 6/5
|
[
"7/45",
"1/15",
"4/15",
"8/45",
"9/45"
] |
Explanation:
HCF of Fractions = HCF of Numerators/LCM of Denominators
= (HCF of 2, 4, 6)/(LCM of 3, 10, 5) = 2/30 = 1/15
Answer: Option B
The answer is: B
|
B
|
mathematics
|
A 280 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
|
[
"220 m",
"240 m",
"260 m",
"320 m",
"330 m"
] |
Relative speed = (120 + 80) km/hr
= (200 x(5/18))m/sec
= (500/9)m/sec.
Let the length of the other train be x metres.
Then, (x + 280)/9 = 500/9
x + 280 = 500
x = 220.
A
The answer is: A
|
A
|
mathematics
|
David is 18 years older than his daughter Rosy. In 6 years David will be twice as old as Rosy. What is Rosy current age.
|
[
"12",
"14",
"18",
"24",
"23"
] |
Now: Rosy = x, David =x+18
In 6 years Rosy = x+6, David = x+18+6 or 2(x+6)
x+24= 2x+12
x= 12
Rosy is 12 years old
Answer : A
The answer is: A
|
A
|
mathematics
|
If the selling price of 7 articles is same as the cost price of 10 articles. Find the gain or loss percentage?
|
[
"93%",
"23%",
"33%",
"43%",
"53%"
] |
Let the C.P of each article be Re 1. Then,
S.P of 7 articles = C.P of 10 articles = Rs. 10
Now, C.P of 7 articles = Rs. 7, S.p of 7 articles = Rs 10
Gain = Rs ( 10 - 7 ) = Rs 3.
Gain% = ( 3/7 × 100 ) % = 43%
Answer : D
The answer is: D
|
D
|
mathematics
|
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 21 liters of drink A to convert it to drink B?
|
[
"3",
"4",
"5",
"6",
"7"
] |
In 21 liters of drink A, there are 12 liters of milk and 9 liters of juice.
With 12 liters of milk, we need a total of 16 liters of juice to make drink B.
We need to add 7 liters of juice.
The answer is E.
The answer is: E
|
E
|
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?
|
[
"243",
"265",
"375",
"390",
"400"
] |
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
|
7+2=56
6+3=48
5+5=45
2+1=4
4+9=??
Solve it?
|
[
"92",
"48",
"42",
"38",
"72"
] |
x+y=x[y+(x-1)]=x^2+xy-x
7+2=7[2+(7-1)]=49+14-7=56
6+3=6[3+(6-1)]=36+18-6=48
5+5=5[5+(5-1)]=25+25-5=45
2+1=2[1+(2-1)]=4+2-2=4
4+9=4[9+(4-1)]=16+36-4=48
Answer :B
The answer is: B
|
B
|
mathematics
|
What will be the cost of building to decorate which area equal to 225 sq ft, if the price per foot of building is Rs. 5?
|
[
"300",
"150",
"600",
"1200",
"800"
] |
Let the side of the square plot be a ft.
a2 = 225 => a = 15
Length of the fence = Perimeter of the plot = 4a = 60 ft.
Cost of building the fence = 60 * 5
= Rs.300.
Answer: A
The answer is: A
|
A
|
mathematics
|
There are 2 vessels A & B containing 25 liters each of pure milk and pure water respectively. 5 liters of milk from A is taken and poured into B , then 6 liters of mixture from B is taken and poured in A. What is ratio of water A and B respectively.
|
[
"1:3",
"1:4",
"1:5",
"1:6",
"1:7"
] |
At first
A cotain Milk = 25 Water = 0
B cotain Milk = 00 Water = 25
5 litres of milk taken from A and poured in B then
A cotain Milk = 20 Water = 0
B cotain Milk = 5 Water = 25
6 litres(1 lit Milk & 5 lit Water) of mixture from B and poured in A.
So, Finally
A cotain Milk = 21 Water = 5
B cotain Milk = 4 Water = 20
Ratio of water in A & B is 5:20 = 1:4
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
|
[
"No profit, no loss",
"5%",
"8%",
"40%",
"None of these"
] |
Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 40) Rs. = 2240 Rs.
Profit % = (2240−1600/1600∗100)% = 40%
Answer : D
The answer is: D
|
D
|
mathematics
|
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
|
[
"229",
"277",
"378",
"480",
"287"
] |
262 – 102 = 242
d1 = 20 d2 = 48
1/2 * 20 * 48 = 480
Answer:D
The answer is: D
|
D
|
mathematics
|
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 38 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
|
[
"2",
"5",
"8",
"15",
"25"
] |
Selling price is 48 cents/lb
For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)
Basically, you need to mix 38 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)
weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 38) = 5/1
We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 8 lbs.
Answer (C)
The answer is: C
|
C
|
mathematics
|
How many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition is allowed?
|
[
"511",
"519",
"515",
"512",
"513"
] |
By divisibility rule of 4(Click here to know about the rule of divisibility ) only 12,24,32,44,52 are the numbers from 1 to 5 are divisible by 4.
So the remaining 11 digits can be any number from 1 to 5. So 511
Since there are 5 set of numbers we will get 5* 511 = 512 numbers divisible by 4.
Answer D
The answer is: D
|
D
|
mathematics
|
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
|
[
"18%",
"13%",
"12%",
"32%",
"15%"
] |
Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer: C
The answer is: C
|
C
|
mathematics
|
A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
|
[
"35 km/hr",
"50 km/hr",
"45 km/hr",
"65 km/hr",
"51 km/hr"
] |
Speed of the train relative to man
= (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 6) km/hr. x - 6 = 45 ==> x = 51 km/hr.
Answer: E
The answer is: E
|
E
|
mathematics
|
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 176 votes. Find the total number of valid votes?
|
[
"440",
"570",
"480",
"520",
"550"
] |
Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 176 => 4x/10 = 176
=> 4x = 1760 => x = 440.
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
|
[
"25%",
"17%",
"29%",
"55%",
"45%"
] |
850 --- 150
100 --- ? => 17.64%
Answer: B
The answer is: B
|
B
|
mathematics
|
Average weight of 10 people increased by 2 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is
|
[
"50",
"55",
"60",
"65",
"70"
] |
Explanation:
Total weight increased is 2 * 10 = 20.
So weight of new person is 45+20 = 65
Answer: Option D
The answer is: D
|
D
|
mathematics
|
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?
|
[
"30%",
"35%",
"40%",
"45%",
"50%"
] |
# of items 100 (assume);
# of items that should be marked for sale is x;
# of items that should be at the regular price is 100-x;
# of items that are actually marked for sale 0.3*100=30.
Let's see how many items are marked for sale:
20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale);
100-55=45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale);
So, 0.2(100-x)+0.45x=30 --> x=40 (# of items that should be marked for sale).
So, # of the items that are supposed to be marked with their regular prices is 0.2*(100-40)=12, which is 12/30*100=40% of # of items that are actually marked for sale.
Answer: C.
The answer is: C
|
C
|
mathematics
|
A student got twice as many sums wrong as he got right. If he attempted 24 sums in all, how many did he solve correctly ?
|
[
"12",
"16",
"8",
"24",
"26"
] |
Explanation:
Suppose the boy got x sums right and 2x sums wrong.
Then, x + 2x = 24 3x = 24 x = 8.
Answer:C
The answer is: C
|
C
|
mathematics
|
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
|
[
"42 6/4%",
"42 9/7%",
"42 2/7%",
"42 6/7%",
"42 6/8%"
] |
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
|
Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7)
|
[
"3.2",
"3.4",
"3.6",
"3.8",
"4"
] |
3.6
Option 'C'
The answer is: C
|
C
|
mathematics
|
A box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
|
[
"78",
"82",
"84",
"86",
"88"
] |
least number of cubes will be required when the cubes that could fit in are biggest.
7 is the biggest number that could divide all three, 49, 42 and 14.
Thus side of cube must be 7, and total number of cubes = 49/7 * 42/7*14/7 = 84
Ans C.
The answer is: C
|
C
|
mathematics
|
In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
|
[
"20",
"40",
"216",
"720",
"729"
] |
GGG RRR
Therefore total number of ways is
6! but there are two groups of 3 identical things.
Therefore total number of "different" ways is
6!/ (3!) (3!) = 20 ANS:A
The answer is: A
|
A
|
mathematics
|
After harvest, out of a total of N apples from an orchard, if 1/4 of those tested had infection A and, of those with infection A, 1/2 also had infection B, how many apples did not have both infection A and B?
|
[
"N/15",
"7N/8",
"14N/15",
"N/5",
"4N/5"
] |
1/4 of tested had infection A, thus N/4 had infection A;
Of those with infection A, 1/2 also had infection B, thus 1/2*N/4 = N/8 had both infections A and B.
Therefore, N - N/8 = 7N/8 did not have both infection A and B.
Answer: B.
The answer is: B
|
B
|
mathematics
|
If x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y?
|
[
"3",
"5",
"6",
"8",
"9"
] |
Try each answer choice.
For A: 3 + 3 + xy = 17; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)
For B: 3 + 5 + xy = 17; xy = 9 (no combination of xy = 9 and x + y = 5)
For C: 3 + 6 + xy = 17; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)
For D: 3 + 8 + xy = 17; xy = 6 (no combination of xy = 6 and x + y = 8)
For E: 3 + 9 + xy = 17; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)
Therefore, answer C.
The answer is: C
|
C
|
mathematics
|
The owner of an electronic store charges his customer 14% more than the cost price. If a customer paid Rs.1,65300 for an LED TV, then what was the original price of the TV?
|
[
"Rs.140400",
"Rs.150500",
"Rs.145000",
"Rs.135200",
"None of these"
] |
Explanation:
14% more than CP means SP = 114% = Rs.165300.
:. CP = 165300x100/140 = Rs.145000.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 68 with him, what was the average amount with the group before his joining the group?
|
[
"s.13",
"s.11",
"s.15",
"s.22",
"s.12"
] |
Total members in the group = 7
Average amount = Rs. 20
Total amount with them = 7 * 20 = Rs. 140
One number has Rs. 68. So, the amount with remaining 6 people = 140 - 68 = Rs. 72
The average amount with them = 72/6 = Rs.12.
Answer:E
The answer is: E
|
E
|
mathematics
|
The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?
|
[
"2",
"12",
"24",
"144",
"288"
] |
Given : GCD of (m and n) = 12 = 2^2*3
i.e. m and n are both multiples of 2^2*3
i.e. m^2 and n^2 will both be multiples of (2^2*3)^2 = 2^4*3^2
i.e. 2m^2 and 2n^2 will both be multiples of 2(2^2*3)^2 = 2^5*3^2 = 288
Answer: Option E
The answer is: E
|
E
|
mathematics
|
What is the range of all the roots of |x^2 - 4| = x ?
|
[
"4",
"3",
"2",
"1",
"0"
] |
we get 2 quadratic equations here ..
1) x^2-x-4=0 ....... roots 2 , -1
2) x^2+x-4=0 ........ roots -2, 1
Inserting each root in given equation , it can be seen that -1 and -2 do not satisfy the equations .
So value of x for given equation .... x=4 or x=1
I guess range is 4-1 =3
B
The answer is: B
|
B
|
mathematics
|
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
|
[
"27",
"29",
"40",
"89",
"22"
] |
1/8 - 1/x = 1/10
x = 40
Answer: C
The answer is: C
|
C
|
mathematics
|
A man saves Rs 500 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
|
[
"Rs 662",
"Rs 1665.01",
"Rs 1662.02",
"Rs 1655.06",
"None of these"
] |
Explanation:
=[500(21/20×21/20×21/20)+500(21/20×21/20)+500(21/20)]=1655.06
Answer: D
The answer is: D
|
D
|
mathematics
|
In order to obtain an income of Rs. 1250 from 10% stock at Rs. 210, one must make an investment of
|
[
"5363",
"26250",
"28678",
"29002",
"2732"
] |
To obtain Rs. 10, investment
= Rs. 210.
To obtain Rs. 1250, investment =
= Rs. 26250.
Answer: B
The answer is: B
|
B
|
mathematics
|
A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in?
|
[
"25 days",
"88 days",
"21 days",
"11 days",
"24 days"
] |
WC = 2:1
2x + x = 1/8
x = 1/24 => 24 days
Answer: E
The answer is: E
|
E
|
mathematics
|
Find the slope of the line perpendicular to the line y = (1/2)x - 7
|
[
"1",
"2",
"-2",
"4",
"5"
] |
Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 2. If m is the slope of the line perpendicular to the given line, then
m × (1/2) = -1
Solve for m
m = - 2
correct answer C) -2
The answer is: C
|
C
|
mathematics
|
A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?
|
[
"7",
"4",
"6",
"3",
"2"
] |
Since B and D are twins, so B = D.
Now, A = B + 3 and A = C - 3.
Thus, B + 3 = C - 3 D + 3 = C-3 C - D = 6.
Answer: C
The answer is: C
|
C
|
mathematics
|
Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?
|
[
"4 hrs",
"5 hrs",
"7 hrs",
"9 hrs",
"None"
] |
Solution
A's work in 1 hour = 1/6.
B's work in 1 hour = 1/4.
(A+B)'s 2 hour's work when opened alternately = (1/6 + 1/4)
= 5/12.
(A+B)'s 4 hour's work when opened alternately = 10/12
= 5/6.
Remaining part = (1 - 5/6)
= 1/6.
Therefore, total tank to fill the tank (4+1)hrs = 5 hrs.
Answer B
The answer is: B
|
B
|
mathematics
|
If the product of the integers from 1 to n is divisible by 378, what is the least possible value of n?
|
[
"7",
"8",
"9",
"10",
"11"
] |
378 = 2 x 3 x 3 x 3 x 7
N must include at least 3, 2*3, and 3*3.
The answer is C.
The answer is: C
|
C
|
mathematics
|
How many positive integers less than 60 have a reminder 01 when divided by 3?
|
[
"13",
"14",
"15",
"16",
"20"
] |
1 also gives the remainder of 1 when divided by 3. So, there are total of 20 numbers.
Answer: E.
The answer is: E
|
E
|
mathematics
|
The ratio of ducks and frogs in a pond is 35 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
|
[
"160",
"152",
"156",
"144",
"None"
] |
Solution:
Ratio of Ducks and Frogs in Pond,
= 35 : 39.
Average of Ducks and Frogs in Pond,
= 152.
So, total number of Ducks and Frogs in the Pond,
= 2* 152 = 304.
Therefore,
Number of Frogs, = (304 *39)/74 = 160.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If y10 = 90, what is the value of y ?
|
[
"10",
"12",
"15",
"11",
"20"
] |
ab = (a - 1)(b - 1)
y10 = (y-1)(10-1) = 90 --> y-1=10 --> y=11
Answer: D
The answer is: D
|
D
|
mathematics
|
A jeep takes 3 hours to cover a distance of 440 Km. how much should the speed in Kmph be maintained to cover the same direction in 1/2th of the previous time?
|
[
"48 Kmph",
"252 Kmph",
"293 Kmph",
"263 Kmph",
"265 Kmph"
] |
Time = 3
Distance = 340
1/2 of 3 hours = 6 * 1/2 = 1.5 Hours
Required speed = 440/1.5 = 293 Kmph
C)
The answer is: C
|
C
|
mathematics
|
A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $10 more than that received by B, find the total amount shared by A, B and C.
|
[
"$260",
"$360",
"$160",
"$460",
"$560"
] |
A = 1/3 (B+C) => C = 3A - B ---(1)
B = 2/7 (A+C) => C = 3.5 B - A --(B)
A-B = $10
A = 10+B
(1)===> C = 30+3B - B = 2B+30 ==> 2B-C = -30 ---(3)
(2)===> C = 3.5 B - B-10 = 2.5B-10==>2.5B-C = 10---(4)
from (4) and (3) 0.5B = 40
B = $80
A= $90
C =270-80=$190 Total amount = 90+80+190 = $360
Answer: B
The answer is: B
|
B
|
mathematics
|
Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Vijay at 10% less of the cost price. Vijay spend 5% of the purchasing price on its maintenance. Later Vijay displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
|
[
"15%",
"15.5%",
"14.5\t%",
"16.5%",
"Cannot determined"
] |
Solution: 100 ----10%↓(1st discount)---> 90----5%↓---> 85.5
Net discount = 100-85.5 = 14.5%.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
Bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
|
[
"Rs.320",
"Rs.350",
"Rs.370",
"Rs.480",
"None of these"
] |
Explanation :
100 % = 400 (100 * 4 = 400)120 % = 480 (120 * 4 = 480)Selling price = Rs.480/-
Answer : D
The answer is: D
|
D
|
mathematics
|
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 3000 Km?
|
[
"100.",
"25.",
"30.",
"150.",
"50."
] |
Total distance= Distance travelled by A +Distance travelled by car B
Distance= speed*time
Distance of A= 3x * 6
Distance of B= x*2
(3x * 6) + (x*2) = 3000
x= 150 KM/hr
D is the answer
The answer is: D
|
D
|
mathematics
|
What will be the compound interest on a sum of Rs. 24,000 after 3 years at the rate of 12% p.a.?
|
[
"Rs. 9718.27",
"Rs. 9750",
"Rs. 10123.20",
"Rs. 10483.20",
"None"
] |
Amount = [24000 * (1 + 12/100)3]
= 24000 * 28/25 * 28/25 * 28/25 = Rs. 33718.27
C.I. = (33718.27 - 24000) = Rs. 9718.27
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
|
[
"2/29",
"2/20",
"2/21",
"2/22",
"2/23"
] |
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 * 2)/(15 * 14) = 1/35
Probability that both are yellow = ²C₂/¹⁵C₂ = (2 * 1)/(15 * 14) = 1/105
Probability that one blue and other is yellow = (³C₁ * ²C₁)/¹⁵C₂ = (2 * 3 * 2)/(15 * 14) = 2/35
Required probability = 1/35 + 1/105 + 2/35
= 3/35 + 1/105 = 1/35(3 + 1/3)
= 10/(3 * 35) = 2/21
Answer: C
The answer is: C
|
C
|
mathematics
|
The probability of two events A and B are0.25 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
|
[
"0.45",
"0.4",
"0.5",
"0.05",
"0.6"
] |
we are apply that formula..............
P(AorB)=P(A)+P(B)-P(A AND B)
=.25+.40-.15
=.50
but the probability of neither A nor B=1-.50
=0.50
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Which of the following number is divisible by 24 ?
|
[
"3100000",
"3115832",
"3115800",
"3125832",
"3125834"
] |
31214 is not divisible by 3 and 8
=> 31214 is not divisible 24
61212 is not divisible by 8 though it is divisible by 3
=> 61212 is not divisible 24
512216 is not divisible by 3 though it is divisible by 8
=> 512216 is not divisible 24
3125832 is divisible by 3 and 8
=> 3125832 is divisible 24
D)
The answer is: D
|
D
|
mathematics
|
What will be the remainder if 2^300 is divided by 4?
|
[
"1",
"2",
"3",
"4",
"5"
] |
D
4
Now if you go on calculating 2^300, you will lose so much time and it might not even be feasible to carry out so long of calculations. Thus we will make use of a trick here. We will calculate the remainder of each power of 2 till we come across a pattern.
2^1 divided by 4 leaves the remainder 2.
2^2 divided by 4 leaves the remainder 0.
2^3 divided by 4 leaves the remainder 0.
2^4 divided by 4 leaves the remainder 0.
You can see that all the following powers of two will be divisible by 4. Therefore the remainder when 2^300 is divided by 4 will be 0 only.
The answer is: D
|
D
|
mathematics
|
The average age of 6 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?
|
[
"10years",
"15years",
"20years",
"25years",
"30years"
] |
Total age of 6 boys = 25*6 = 150
ratio of their ages = 3:5:7
Age of the youngest = 150*3/15 = 30 years
Answer is E
The answer is: E
|
E
|
mathematics
|
2 boxes, 32 black n 31 red balls the probability of getting black ball is maximum the maximum probability is?
|
[
"1/4",
"3/4",
"1/3",
"2/3",
"2/5"
] |
to maximize the probability we can send all but 1 black balls to other box making probability
1/2 (ie chosing one box) * 1(no. of black balls in it) + 1/2*31/62 (as we have no 31 black and 31 red balls in it)
finally we have 1/2*1 + 1/2*1/2 = 3/4
ANSWER:B
The answer is: B
|
B
|
mathematics
|
The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 400 Km?
|
[
"300",
"400",
"250",
"350",
"450"
] |
50 kmph consumption is 1 lt/hr
so 400 km will take 8 hrs and the consumption is 8 lt for entire distance.
1 lt costs $30
so 8 lt costs $240
extra expenses for 1 hr - $20
8 hrs - $160
total expense - $240 + $160= $400
Answer : B
The answer is: B
|
B
|
mathematics
|
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
|
[
"299",
"249",
"245",
"289",
"271"
] |
Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (130 + x)/30 = 25/2
x = 245 m.
Answer: C
The answer is: C
|
C
|
mathematics
|
Selling an kite for Rs. 30, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
|
[
"8%",
"10%",
"11%",
"15%",
"20%"
] |
Explanation:
Marked price = Rs. 30
C.P. = 100/120 * 30 = Rs. 25
Sale price = 90% of Rs. 30 = Rs. 27
Required gain % = 0.2/25 * 100 = 8%.
Answer: A
The answer is: A
|
A
|
mathematics
|
a+2b=6,ab=4
2/a + 1/b=?
|
[
"3/2",
"5/2",
"7/2",
"9/2",
"11/2"
] |
2/2+1/2=1+1/2=3/2
ANSWER:A
The answer is: A
|
A
|
mathematics
|
Priya purchased n items from a catalog for $9 each. Postage and handling charges consisted of $6 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
|
[
"10n + 2",
"10n + 4",
"19n + 2",
"19n + 3",
"8n + 4"
] |
its B
n items for $9 each
total price $9n
postage and handling of $5 for 1st item and $1 for the rest
total postage and handling = $ [5+ (n-1)]
= $ n+4
total cost
9n+n+4 = 10n+4
The answer is: B
|
B
|
mathematics
|
X is a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. Find value of X?
|
[
"3",
"4",
"6",
"7",
"8"
] |
Let the number be x.
Then, x + 17 = 60
x
x2 + 17x - 60 = 0
(x + 20)(x - 3) = 0
x = 3
A
The answer is: A
|
A
|
mathematics
|
The banker’s discount on Rs.1600 at 15% per annum is the same as true discount on Rs.1680 for the same time and at the same rate. The time is
|
[
"3 months",
"4 months",
"6 months",
"8 months",
"10 months"
] |
Solution
S.I on Rs. 1600 = T.D on Rs. 1680.
Rs.1600 is the P.W of Rs.1680.
Rs.80 is S.I on Rs.1600 at 15%.
Time = (100x80 / 600x15)
= 1/3 year
= 4 months.
Answer B
The answer is: B
|
B
|
mathematics
|
What is the CP of Rs 100 stock at 8 discount, with 1/5% brokerage?
|
[
"99.6",
"96.2",
"97.5",
"92.2",
"None of these"
] |
Explanation:
Use the formula,
CP= 100 – discount + brokerage%
CP= 100-8+1/5
92.2
Thus the CP is Rs 92.2.
ANSWER D
The answer is: D
|
D
|
mathematics
|
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
|
[
"18 2/61%",
"18 2/11%",
"18 2/81%",
"18 2/12%",
"18 2/21%"
] |
13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
The answer is: B
|
B
|
mathematics
|
A invested $300 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares?
|
[
"$100",
"$75",
"$20",
"$120",
"$50"
] |
A:B = 300*12:200*6
A:B = 3:1
A's share = 100*3/4 = $75
Answer is B
The answer is: B
|
B
|
mathematics
|
A train traveling at 72 kmph crosses a platform in 31 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
|
[
"240 meters",
"260 meters",
"420 meters",
"600 meters",
"Cannot be determined"
] |
Speed of train = 72 * (5/18) = 20 m/s
Lets consider the man as a stationery point on the platform.
Crossing the point gives us the length of the train.
Lt = 20 * 18 = 360 m.
Crossing the platform gives us the length of trainlength of platform.
L(t+p) = 20 * 31 = 620 m.
So, length of platform = 620 - 360 = 260 m
IMO, Answer
B
The answer is: B
|
B
|
mathematics
|
On his drive to work, Leo listens to one of three radio stations A, B or E. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to E. If E is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
|
[
"0.027",
"0.09",
"0.417",
"0.657",
"0.9"
] |
Probability he hears a song is like:
Tune to A and likes what he is hearing = 0.3
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.7 * 0.3 = 0.21
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to E and finally falls in love with the program = 0.7^2 * 0.3 = 0.147
Total = 0.657
Ans D
The answer is: D
|
D
|
mathematics
|
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 40%. Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price. In terms of P, how much did Lucas pay?
|
[
"P + 10",
"1.1*P",
"1.12*P",
"0.9*P",
"0.98*P"
] |
Last year price = P;
This year price = 1.4P;
Lucas used a travel voucher to purchase the vacation package at 30% off this year’s price, thus he paid (1 - 0.3)*1.4P = 0.98P.
Answer: E.
The answer is: E
|
E
|
mathematics
|
If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 9), what is the value of x?
|
[
"9",
"11",
"13",
"15",
"17"
] |
(2 to the power x) - (2 to the power (x-2)) = 3 (2 to the power 9)
2^x - 2^(x-2) = 3. 2^9
Hence x = 11.
Answer is B
The answer is: B
|
B
|
mathematics
|
Each shelf of a bookcase contained 11 books. If the librarian took out 15 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 12 books, how many shelves does the bookcase have?
|
[
"5",
"6",
"7",
"8",
"9"
] |
Let x be the number of shelves.
11x - 15 = 7(x-1) + 12
4x = 20
x= 5
The answer is A.
The answer is: A
|
A
|
mathematics
|
What is the remainder when 46*49 is divided by 8?
|
[
"1",
"3",
"4",
"6",
"7"
] |
we can make use of the rule :
Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)
Here
Remainder of { 46 * 49)/8}} = Remainder of (46/8) * Remainder of (49/8) = 6 * 1 = 6
Answer :D
The answer is: D
|
D
|
mathematics
|
Out of seven models, all of different heights, five models will be chosen to pose for a photograph. If the five models are to stand in a line from shortest to tallest, and the fourth-tallest and sixth-tallest models cannot be adjacent, how many different arrangements of five models are possible?
|
[
"6",
"11",
"17",
"72",
"210"
] |
Total no. of ways "5 models can be selected from 7" = 7C5 = 21.
Fourth tallest and Sixth tallest can never stand adjacent to each other. Also, all selected models will be lined up from shortest to tallest.
Hence, we have to pull out the no. of ways 4 & 6 stand adjacent to each other from the above total, i.e = 21.
The following will be the way in which 4 & 6 stand close to each other.
1 2 3 4 6
1 2 4 6 7
1 3 4 6 7
2 3 4 6 7
So, the answer will be 21-4 = 17 ways.
ANS:C
The answer is: C
|
C
|
mathematics
|
A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 100 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
|
[
"3/16,000",
"1/4,800",
"3/1,600",
"1/90",
"2/45"
] |
Solution provided by stanford2012 is correct: 100/800 choosing one of the cellos which has a pair viola, 1/600 choosing the viola which is the pair of chosen cello --> P=100/800*1/600=1/4,800.
Answer: B.
The answer is: B
|
B
|
mathematics
|
Solve 8x – 4 = 4x + 11
|
[
"5(1/3)",
"6(1/3)",
"7(1/3)",
"3(3/4)",
"9(1/3)"
] |
Sol.
8x – 4 = 4x + 11
=> 8x – 4x = 11 + 4
=> 4x = 15 => x = 15/3 = 3(3/4).
Answer D
The answer is: D
|
D
|
mathematics
|
If 50% of 3/5 of a number is 36, then the number is?
|
[
"120",
"100",
"75",
"90",
"None of these"
] |
Let the number be x. Then 50% of 3/5 of x=36
50/100*3/5*x=36
x=(36*10/3)=120
Required number=120.
Correct Option: A
The answer is: A
|
A
|
mathematics
|
A 5-letter code word consists of letters A, B, and C. If the code includes all the three letters, how many such codes are possible?
|
[
"90",
"48",
"36",
"24",
"18"
] |
Note that the correct answer to this question is 36, not 72.
AB-ABC can be arranged in 5!/2!2!=30 ways;
BC-ABC can be arranged in 5!/2!2!=30 ways;
AC-ABC can be arranged in 5!/2!2!=30 ways;
Total: 30+30+30=90.
Answer: A.
The answer is: A
|
A
|
mathematics
|
The second angle of a triangle is 45° more than the smallest angle. The third angle is three times
the smallest. How many degrees are there in each angle?
|
[
"L=6/W=18",
"L=18/W=6",
"L=7/W=19",
"L=19/W=7",
"L=10/W=20"
] |
We are looking for three angles.
! 1 - x
! 2 - x + 45
! 3 - 3x
You would not be able to solve this problem unless you knew that the sum of the interior angles
of a triangle is 180°.
! 1 + ! 2 + ! 3 = 180°
x + x + 45 + 3x = 180°
5x + 45 = 180°
5x = 135°
x = 27°
That means the first angle is 27°, the second angle is 27 + 45 or 72°, and the third angle is 3 times
27 or 81°.
Try this on your own. The length of a rectangle is three times the width and its perimeter is 48 ft.
Find the length and width. The answers are length is 18 and the width is 6 ft.
correct answer B
The answer is: B
|
B
|
mathematics
|
A person plans to start a business with x% of a list of 10,000 products in his inventory. Next year after a business loss, the person wants to reduce the list by (x − 4)%. In terms of x, how many products will be in the inventory?
|
[
"x*x – 4x",
"(x)(104 – x)",
"(100)(104 – x)",
"(100)(96 – x)",
"(x-4)/100"
] |
Based on the answer choices and the question, this question begs the use of x=4 as a sample number.
Initial = 4%*10000 = 400
Reduction = 4-4=0%, so no math required here to calculate the reduction; just make sure that you can calculate 400 in your answer.
A. x*x – 4x = 0; No
B. (x)(104 – x) = 400; Winner!
C. (100)(104 – x) > 400; No
D. (100)(96 – x) > 400; No
E. (x-4)/100 = 0; No
B
The answer is: B
|
B
|
mathematics
|
For all integers a and b, a%b = (a + b)(a - b). If 6%x = 11, then which of the following could be a value of x?
|
[
"-4",
"-3",
"2",
"5",
"6"
] |
6%x = (6+x)(6-x)
36-x^2 = 11
x^2 = 25
x=-5,5
Ans: D
The answer is: D
|
D
|
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